Finite Group Databasebeta

← #26005225

Subgroups — #26005225

Order 11008.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148916C212yesmaximal, complemented
2#19148912C212yesmaximal, complemented
3#19148896C214yesmaximal, complemented
4#19148832C212yesmaximal, complemented
5#19148826C212yesmaximal, complemented
6#19148818C212yesmaximal, complemented
7#19148812C212yesmaximal, complemented
8#19148782C212yesmaximal, complemented
9#19148780C214yesmaximal, complemented
10#19148774C212yesmaximal, complemented
11#19148622C212yesmaximal, complemented
12#19148621C212yesmaximal, complemented
13#19148616C214yesmaximal, complemented
14#19148434C211yesmaximal, characteristic, complemented
15#19148432C212yesmaximal, complemented
16#19148429C211yesmaximal, characteristic, complemented
17#19148354C212yesmaximal, complemented
18#19148352C211yesmaximal, characteristic, complemented
19#19148325C212yesmaximal, complemented
20#19148319C212yesmaximal, complemented
21#19148297C212yesmaximal, complemented
22#19148277C214yesmaximal, complemented
23#19148260C212yesmaximal, complemented
24#19148255C212yesmaximal, complemented
25#19148227C212yesmaximal, complemented
26#19148226C212yesmaximal, complemented
27#19148223C212yesmaximal, complemented
28C2×#14583409C211yesmaximal, characteristic, complemented
29C2×#14583408C211yesmaximal, characteristic, complemented
30C2×#121×D43C211yesmaximal, characteristic, complemented
31C43×#3496C211yesmaximal, characteristic, complemented
32C2×#13063370C2212yescomplemented
33C2×#13063370C2212yescomplemented
34C22×#10621898C2211yescharacteristic, complemented
35C22×#10621900C2211yescharacteristic, complemented
36C22×D4×D43C2211yescharacteristic, complemented
37C22×D4×D43C2212yescomplemented
38C23×C4×D43C2211yescharacteristic, complemented
39#14583646C2214yescomplemented
40#14583645C2214yescomplemented
41#14583645C2214yescomplemented
42#14583644C2214yescomplemented
43#14583639C2214yescomplemented
44#14583638C2214yescomplemented
45#14583638C2214yescomplemented
46#14583637C2214yescomplemented
47#14583615C2212yescomplemented
48#14583613C2212yescomplemented
49#14583611C2214yescomplemented
50#14583610C2212yescomplemented
51#14583604C2212yescomplemented
52#14583603C2214yescomplemented
53#14583601C2212yescomplemented
54#14583601C2214yescomplemented
55#14583599C2212yescomplemented
56#14583599C2212yescomplemented
57#14583598C2214yescomplemented
58#14583598C2214yescomplemented
59#14583597C2212yescomplemented
60#14583596C2212yescomplemented
61#14583595C2212yescomplemented
62#14583594C2214yescomplemented
63#14583592C2214yescomplemented
64#14583592C2214yescomplemented
65#14583592C2214yescomplemented
66#14583589C2212yescomplemented
67#14583586C2214yescomplemented
68#14583584C2212yescomplemented
69#14583580C2214yescomplemented
70#14583579C2214yescomplemented
71#14583578C2214yescomplemented
72#14583578C2214yescomplemented
73#14583577C2214yescomplemented
74#14583576C2214yescomplemented
75#14583575C2214yescomplemented
76#14583572C2214yescomplemented
77#14583569C2212yescomplemented
78#14583567C2214yescomplemented
79#14583567C2212yescomplemented
80#14583558C2212yescomplemented
81#14583555C2212yescomplemented
82#14583555C2214yescomplemented
83#14583550C2212yescomplemented
84#14583549C2212yescomplemented
85#14583548C2214yescomplemented
86#14583548C2214yescomplemented
87#14583546C2212yescomplemented
88#14583546C2214yescomplemented
89#14583545C2212yescomplemented
90#14583544C2212yescomplemented
91#14583544C2212yescomplemented
92#14583543C2212yescomplemented
93#14583543C2214yescomplemented
94#14583543C2212yescomplemented
95#14583543C2214yescomplemented
96#14583541C2214yescomplemented
97#14583541C2214yescomplemented
98#14583539C2214yescomplemented
99#14583539C2214yescomplemented
100#14583539C2214yescomplemented
101#14583538C2214yescomplemented
102#14583538C2214yescomplemented
103#14583538C2214yescomplemented
104#14583538C2214yescomplemented
105#14583538C2214yescomplemented
106#14583537C2214yescomplemented
107#14583537C2214yescomplemented
108#14583537C2214yescomplemented
109#14583537C2214yescomplemented
110#14583537C2214yescomplemented
111#14583537C2214yescomplemented
112#14583536C2214yescomplemented
113#14583536C2214yescomplemented
114#14583534C2212yescomplemented
115#14583533C2212yescomplemented
116#14583533C2214yescomplemented
117#14583533C2214yescomplemented
118D4×C22⋊D43C2214yescomplemented
119D4×C22⋊D43C2214yescomplemented
120D4×C22⋊D43C2212yescomplemented
121D4×C22⋊D43C2214yescomplemented
122D4×C22⋊D43C2214yescomplemented
123D4×C22⋊D43C2214yescomplemented
124D4×C22⋊D43C2214yescomplemented
125D4×C22⋊D43C2212yescomplemented
126#14583531C2214yescomplemented
127#14583531C2214yescomplemented
128#14583531C2214yescomplemented
129#14583526C2212yescomplemented
130#14583524C2214yescomplemented
131#14583523C2212yescomplemented
132#14583519C2214yescomplemented
133#14583514C2212yescomplemented
134#14583503C2212yescomplemented
135#14583501C2214yescomplemented
136#14583501C2214yescomplemented
137#14583500C2214yescomplemented
138#14583500C2212yescomplemented
139#14583499C2214yescomplemented
140#14583499C2214yescomplemented
141#14583496C2212yescomplemented
142#14583495C2214yescomplemented
143#14583494C2212yescomplemented
144#14583493C2214yescomplemented
145#14583492C2214yescomplemented
146#14583489C2214yescomplemented
147#14583487C2214yescomplemented
148#14583487C2212yescomplemented
149#14583486C2212yescomplemented
150#14583485C2214yescomplemented
151#14583484C2214yescomplemented
152#14583484C2214yescomplemented
153#14583483C2214yescomplemented
154#14583483C2214yescomplemented
155#14583481C2214yescomplemented
156#14583481C2214yescomplemented
157#14583480C2212yescomplemented
158#14583478C2212yescomplemented
159#14583478C2212yescomplemented
160#14583477C2214yescomplemented
161#14583476C2214yescomplemented
162#14583476C2212yescomplemented
163#14583466C2212yescomplemented
164#14583465C2212yescomplemented
165#14583465C2212yescomplemented
166#14583464C2214yescomplemented
167#14583464C2214yescomplemented
168#14583463C2214yescomplemented
169#14583462C2212yescomplemented
170#14583460C2214yescomplemented
171#14583459C2214yescomplemented
172#14583459C2214yescomplemented
173#14583458C2212yescomplemented
174#14583458C2212yescomplemented
175#14583458C2214yescomplemented
176#14583458C2212yescomplemented
177#14583458C2214yescomplemented
178#14583457C2214yescomplemented
179#14583457C2212yescomplemented
180#14583445C2214yescomplemented
181#14583444C2212yescomplemented
182#14583433C2212yescomplemented
183#14583430C2212yescomplemented
184#14583426C2214yescomplemented
185#14583410C2212yescomplemented
186#14583409C2212yescomplemented
187#14583409C2212yescomplemented
188#14583409C2212yescomplemented
189#14583409C2212yescomplemented
190#14583409C2212yescomplemented
191#14583409C2212yescomplemented
192#14583409C2212yescomplemented
193#14583409C2212yescomplemented
194#14583409C2212yescomplemented
195#14583408C2212yescomplemented
196#14583408C2212yescomplemented
197#14583408C2212yescomplemented
198#14583408C2212yescomplemented
199#14583408C2212yescomplemented
200#14583408C2212yescomplemented
201#14583408C2212yescomplemented
202#14583408C2212yescomplemented
203#14583407C2214yescomplemented
204#14583406C2214yescomplemented
205#14583405C2214yescomplemented
206C2×#13063310C2211yescharacteristic, complemented
207C2×#13063307C2211yescharacteristic, complemented
208C2×#13063307C2212yescomplemented
209C2×#13063305C2211yescharacteristic, complemented
210C2×#13063304C2211yescharacteristic, complemented
211C2×#13063303C2211yescharacteristic, complemented
212C2×#13063302C2211yescharacteristic, complemented
213C2×#13063300C2211yescharacteristic, complemented
214C2×#13063299C2211yescharacteristic, complemented
215C2×#13063298C2212yescomplemented
216C2×#13063298C2211yescharacteristic, complemented
217C2×#13063297C2212yescomplemented
218C2×#13063297C2211yescharacteristic, complemented
219C2×#13063297C2214yescomplemented
220C2×#13063296C2211yescharacteristic, complemented
221C2×#13063296C2211yescharacteristic, complemented
222#121×D43C2212yescomplemented
223#121×D43C2212yescomplemented
224#121×D43C2212yescomplemented
225#121×D43C2212yescomplemented
226#121×D43C2212yescomplemented
227#121×D43C2212yescomplemented
228#121×D43C2212yescomplemented
229#121×D43C2212yescomplemented
230#121×D43C2212yescomplemented
231C2×#13063295C2211yescharacteristic, complemented
232C2×#13063293C2211yescharacteristic, complemented
233C2×#13063293C2212yescomplemented
234C2×#13063293C2214yescomplemented
235#120×D43C2214yescomplemented
236#14583380C2212yescomplemented
237#14583378C2212yescomplemented
238#14583374C2212yescomplemented
239#14583372C2212yescomplemented
240#14583372C2214yescomplemented
241#14583371C2212yescomplemented
242#14583371C2214yescomplemented
243C2×C4×D172C2211yescharacteristic, complemented
244C2×D4×Dic43C2212yescomplemented
245C2×C4×C22⋊D43C2211yescharacteristic, complemented
246C2×C4×C22⋊D43C2211yescharacteristic, complemented
247C2×(C22⋊D43)⋊C4C2212yescomplemented
248C2×#13063283C2211yescharacteristic, complemented
249C2×#13063282C2211yescharacteristic, complemented
250C2×C4⋊C4×D43C2211yescharacteristic, complemented
251C2×C22⋊C4×D43C2212yescomplemented
252C2×H(5,𝔽2)×C43C2212yescomplemented
253C43×#547C2212yescomplemented
254C43×#547C2212yescomplemented
255C43×#546C2214yescomplemented
256C43×#546C2214yescomplemented
257D42×C43C2212yescomplemented
258D42×C43C2212yescomplemented
259C43×#537C2212yescomplemented
260C43×#534C2212yescomplemented
261C43×#534C2212yescomplemented
262C43×#532C2212yescomplemented
263C2×#121×C43C2211yescharacteristic, complemented
264C2×#121×C43C2211yescharacteristic, complemented
265C2×#121×C43C2212yescomplemented
266C2×C4×D4×C43C2211yescharacteristic, complemented
267C24×D43C2311yescharacteristic
268C24×D43C2312yes—
269#13063370—48no—
270#13063370—48no—
271C2×#10621898—44no—
272C2×#10621898C2312yes—
273C2×#10621898C2312yes—
274C2×#10621898C2312yescomplemented
275C2×#10621898C2312yescomplemented
276C2×#10621898C2312yescomplemented
277C2×#10621898C2314yescomplemented
278C2×#10621900—44no—
279C2×#10621900C2312yes—
280C2×#10621900C2314yes—
281C2×#10621900C2312yes—
282C2×#10621900C2314yescomplemented
283C2×#10621900C2312yescomplemented
284C2×#10621900C2312yescomplemented
285C2×#10621900C2312yescomplemented
286C2×#10621900C2314yescomplemented
287C22×Dic86C2311yescharacteristic, complemented
288C22×Dic86C2311yescharacteristic, complemented
289C22×D172C2311yescharacteristic
290C22×D172C2311yescharacteristic
291C22×D172C2312yes—
292C22×D172C2311yescharacteristic
293C22×C22⋊D43C2311yescharacteristic
294C22×C22⋊D43C2312yes—
295C22×C22⋊D43C2312yes—
296C22×C22⋊D43C2311yescharacteristic
297C22×C22⋊D43C2314yes—
298C22×C22⋊D43C2312yes—
299C22×C22⋊D43C2311yescharacteristic
300C22×C22⋊D43C2314yes—
301C22×C22⋊D43C2312yes—
302C22×C22⋊D43C2312yes—
303C22×C22⋊D43C2311yescharacteristic, complemented
304C22×C22⋊D43C2314yescomplemented
305C22×C22⋊D43C2314yescomplemented
306C2×D4×D43—44no—
307C2×D4×D43—48no—
308C2×D4×D43C2312yes—
309C2×D4×D43C2314yes—
310C2×D4×D43C2314yes—
311C2×D4×D43C2314yes—
312C2×D4×D43C2312yes—
313C2×D4×D43C2312yes—
314C2×D4×D43C2314yes—
315C2×D4×D43C2314yes—
316C2×D4×D43C2314yes—
317C2×D4×D43C2314yes—
318C2×D4×D43C2312yes—
319C2×D4×D43C2314yescomplemented
320C2×D4×D43C2312yescomplemented
321C23×Dic43C2311yescharacteristic
322C23×Dic43C2312yescomplemented
323C22×C4×D43—44no—
324C22×C4×D43C2311yescharacteristic
325C22×C4×D43C2311yescharacteristic
326C22×C4×D43C2311yescharacteristic
327C22×C4×D43C2311yescharacteristic
328C22×C4×D43C2312yes—
329C22×C4×D43C2311yescharacteristic
330C22×C4×D43C2311yescharacteristic
331C22×C4×D43C2311yescharacteristic
332C22×C4×D43C2311yescharacteristic
333C22×C4×D43C2311yescharacteristic
334C22×C4×D43C2311yescharacteristic
335C22×C4×D43C2311yescharacteristic
336C22×C4×D43C2311yescharacteristic
337C22×C4×D43C2311yescharacteristic, complemented
338#13063324C2312yescomplemented
339#13063323C2314yescomplemented
340#13063321C2314yescomplemented
341#13063321C2314yescomplemented
342#13063321C2314yescomplemented
343#13063321C2312yescomplemented
344#13063321C2314yescomplemented
345#13063321C2314yescomplemented
346#13063320C2314yescomplemented
347#13063320C2314yescomplemented
348#13063320C2314yescomplemented
349#13063320C2314yescomplemented
350#13063319C2314yescomplemented
351#13063318C2314yescomplemented
352#13063318C2314yescomplemented
353#13063318C2314yescomplemented
354#13063318C2314yescomplemented
355#13063318C2314yescomplemented
356#13063318C2314yescomplemented
357#13063318C2314yescomplemented
358#13063317C2312yescomplemented
359#13063316C2312yescomplemented
360#13063316C2314yescomplemented
361#13063315C2314yescomplemented
362#13063315C2314yescomplemented
363#13063315C2314yescomplemented
364#13063315C2314yescomplemented
365#13063314C2314yescomplemented
366#13063314C2314yescomplemented
367#13063314C2314yescomplemented
368#13063313C2312yescomplemented
369#13063312C2314yescomplemented
370#13063312C2312yescomplemented
371#13063312C2314yescomplemented
372#13063311C2314yescomplemented
373#13063311C2314yescomplemented
374#13063311C2314yescomplemented
375#13063311C2314yescomplemented
376#13063311C2314yescomplemented
377#13063311C2314yescomplemented
378#13063311C2314yescomplemented
379#13063310C2312yes—
380#13063310C2312yes—
381#13063310C2314yescomplemented
382#13063310C2314yescomplemented
383#13063310C2314yescomplemented
384#13063310C2314yescomplemented
385#13063310C2312yescomplemented
386#13063310C2312yescomplemented
387#13063309C2314yescomplemented
388#13063309C2314yescomplemented
389#13063309C2314yescomplemented
390#13063308C2314yes—
391#13063308C2314yescomplemented
392#13063308C2314yescomplemented
393#13063308C2314yescomplemented
394#13063308C2314yescomplemented
395#13063308C2314yescomplemented
396#13063308C2314yescomplemented
397#13063308C2314yescomplemented
398#13063307C2312yes—
399#13063307C2314yes—
400#13063307C2312yes—
401#13063307C2314yes—
402#13063307C2314yescomplemented
403#13063307C2314yescomplemented
404#13063307C2314yescomplemented
405#13063307C2314yescomplemented
406#13063307C2314yescomplemented
407#13063307C2312yescomplemented
408#13063307C2314yescomplemented
409#13063307C2312yescomplemented
410#13063307C2314yescomplemented
411#13063306C2314yes—
412#13063306C2314yes—
413#13063306C2314yescomplemented
414#13063306C2314yescomplemented
415#13063306C2314yescomplemented
416#13063306C2314yescomplemented
417#13063306C2314yescomplemented
418#13063306C2314yescomplemented
419#13063305C2312yes—
420#13063305C2312yes—
421#13063305C2314yescomplemented
422#13063305C2312yescomplemented
423#13063305C2312yescomplemented
424#13063305C2312yescomplemented
425#13063304C2312yes—
426#13063304C2312yes—
427#13063304C2312yescomplemented
428#13063304C2314yescomplemented
429#13063304C2314yescomplemented
430#13063304C2312yescomplemented
431#13063304C2312yescomplemented
432#13063303C2314yes—
433#13063303C2312yes—
434#13063303C2314yes—
435#13063303C2312yes—
436#13063303C2314yescomplemented
437#13063303C2314yescomplemented
438#13063303C2312yescomplemented
439#13063303C2312yescomplemented
440#13063302C2312yes—
441#13063302C2312yes—
442#13063302C2314yescomplemented
443#13063302C2314yescomplemented
444#13063302C2314yescomplemented
445#13063302C2314yescomplemented
446#13063302C2312yescomplemented
447#13063302C2312yescomplemented
448#13063301C2314yes—
449#13063301C2314yes—
450#13063301C2314yescomplemented
451#13063301C2314yescomplemented
452#13063300C2312yes—
453#13063300C2312yes—
454#13063300C2312yes—
455#13063300C2312yes—
456#13063300C2314yescomplemented
457#13063300C2314yescomplemented
458#13063300C2312yescomplemented
459#13063299C2312yes—
460#13063299C2312yes—
461#13063299C2312yes—
462#13063299C2312yes—
463#13063299C2312yescomplemented
464#13063299C2314yescomplemented
465#13063299C2314yescomplemented
466#13063299C2314yescomplemented
467#13063299C2314yescomplemented
468#13063299C2314yescomplemented
469#13063299C2314yescomplemented
470#13063298C2314yes—
471#13063298C2312yes—
472#13063298C2314yes—
473#13063298C2314yes—
474#13063298C2314yes—
475#13063298C2314yes—
476#13063298C2312yes—
477#13063298C2314yes—
478#13063298C2314yescomplemented
479#13063298C2314yescomplemented
480#13063298C2314yescomplemented
481#13063298C2314yescomplemented
482#13063298C2314yescomplemented
483#13063298C2312yescomplemented
484#13063298C2314yescomplemented
485#13063298C2314yescomplemented
486#13063298C2312yescomplemented
487#13063297C2314yes—
488#13063297C2314yes—
489#13063297C2314yes—
490#13063297C2314yes—
491#13063297C2312yes—
492#13063297C2312yes—
493#13063297C2314yescomplemented
494#13063297C2314yescomplemented
495#13063297C2314yescomplemented
496#13063297C2314yescomplemented
497#13063297C2314yescomplemented
498#13063297C2314yescomplemented
499#13063297C2314yescomplemented
500#13063297C2314yescomplemented
501#13063297C2314yescomplemented
502#13063297C2314yescomplemented
503#13063297C2314yescomplemented
504#13063297C2314yescomplemented
505#13063297C2314yescomplemented
506#13063297C2314yescomplemented
507#13063297C2314yescomplemented
508#13063297C2314yescomplemented
509#13063297C2314yescomplemented
510#13063297C2314yescomplemented
511#13063297C2314yescomplemented
512#13063297C2314yescomplemented
513#13063297C2312yescomplemented
514#13063297C2312yescomplemented
515#13063296C2312yes—
516#13063296C2314yes—
517#13063296C2312yes—
518#13063296C2312yes—
519#13063296C2312yes—
520#13063296C2312yes—
521#13063296C2312yes—
522#13063296C2314yes—
523#13063296C2312yescomplemented
524#13063296C2312yescomplemented
525#13063296C2314yescomplemented
526#13063296C2312yescomplemented
527#13063296C2314yescomplemented
528#13063296C2312yescomplemented
529#13063296C2314yescomplemented
530#13063295C2314yes—
531#13063295C2312yes—
532#13063295C2314yes—
533#13063295C2312yes—
534#13063295C2312yes—
535#13063295C2312yes—
536#13063295C2314yescomplemented
537#13063295C2314yescomplemented
538#13063295C2314yescomplemented
539#13063294C2314yes—
540#13063294C2314yescomplemented
541#13063294C2314yescomplemented
542#13063294C2314yescomplemented
543#13063294C2314yescomplemented
544#13063294C2314yescomplemented
545#13063294C2314yescomplemented
546#13063293C2314yes—
547#13063293C2314yes—
548#13063293C2314yes—
549#13063293C2314yes—
550#13063293C2314yes—
551#13063293C2314yes—
552#13063293C2314yes—
553#13063293C2312yes—
554#13063293C2312yes—
555#13063293C2312yes—
556#13063293C2312yes—
557#13063293C2314yes—
558#13063293C2314yes—
559#13063293C2314yes—
560#13063293C2314yes—
561#13063293C2314yes—
562#13063293C2314yescomplemented
563#13063293C2314yescomplemented
564#13063293C2314yescomplemented
565#13063293C2314yescomplemented
566C4×Dic86C2312yescomplemented
567#13063290C2312yescomplemented
568#13063290C2314yescomplemented
569C4×D172C2312yes—
570C4×D172C2312yes—
571C4×D172C2312yescomplemented
572C4×D172C2312yescomplemented
573C4×D172C2312yescomplemented
574D4×Dic43C2314yes—
575D4×Dic43C2314yes—
576D4×Dic43C2314yescomplemented
577D4×Dic43C2314yescomplemented
578D4×Dic43C2314yescomplemented
579D4×Dic43C2314yescomplemented
580D4×Dic43C2314yescomplemented
581D4×Dic43C2314yescomplemented
582D4×Dic43C2314yescomplemented
583D4×Dic43C2312yescomplemented
584D4×Dic43C2312yescomplemented
585#13063287C2314yes—
586#13063287C2314yes—
587#13063287C2312yescomplemented
588C4×C22⋊D43C2312yes—
589C4×C22⋊D43C2314yes—
590C4×C22⋊D43C2314yes—
591C4×C22⋊D43C2312yes—
592C4×C22⋊D43C2314yes—
593C4×C22⋊D43C2312yes—
594C4×C22⋊D43C2314yes—
595C4×C22⋊D43C2312yes—
596C4×C22⋊D43C2314yescomplemented
597C4×C22⋊D43C2312yescomplemented
598C4×C22⋊D43C2314yescomplemented
599C4×C22⋊D43C2312yescomplemented
600C4×C22⋊D43C2314yescomplemented
601C4×C22⋊D43C2314yescomplemented
602C4×C22⋊D43C2312yescomplemented
603C4×C22⋊D43C2314yescomplemented
604C4×C22⋊D43C2314yescomplemented
605C4×C22⋊D43C2314yescomplemented
606C4×C22⋊D43C2312yescomplemented
607(C22⋊D43)⋊C4C2314yes—
608(C22⋊D43)⋊C4C2314yes—
609(C22⋊D43)⋊C4C2314yes—
610(C22⋊D43)⋊C4C2314yes—
611(C22⋊D43)⋊C4C2314yescomplemented
612(C22⋊D43)⋊C4C2314yescomplemented
613(C22⋊D43)⋊C4C2314yescomplemented
614(C22⋊D43)⋊C4C2314yescomplemented
615(C22⋊D43)⋊C4C2314yescomplemented
616(C22⋊D43)⋊C4C2314yescomplemented
617(C22⋊D43)⋊C4C2314yescomplemented
618(C22⋊D43)⋊C4C2314yescomplemented
619#13063284C2314yes—
620#13063284C2312yescomplemented
621#13063283C2312yes—
622#13063283C2312yes—
623#13063283C2314yescomplemented
624#13063283C2312yescomplemented
625#13063283C2312yescomplemented
626#13063283C2312yescomplemented
627#13063282C2312yes—
628#13063282C2312yes—
629#13063282C2314yescomplemented
630#13063282C2312yescomplemented
631#13063282C2312yescomplemented
632#13063281C2314yes—
633#13063281C2314yescomplemented
634#13063281C2314yescomplemented
635#13063281C2314yescomplemented
636C2×C4⋊Dic43C2311yescharacteristic
637C2×C4⋊Dic43C2311yescharacteristic, complemented
638C2×C4⋊Dic43C2311yescharacteristic, complemented
639C2×C4⋊Dic43C2312yescomplemented
640C2×Dic43⋊C4C2312yes—
641C2×Dic43⋊C4C2311yescharacteristic, complemented
642C2×Dic43⋊C4C2311yescharacteristic, complemented
643C2×Dic43⋊C4C2312yescomplemented
644C2×Dic43⋊C4C2314yescomplemented
645C2×Dic43⋊C4C2311yescharacteristic, complemented
646C2×Dic43⋊C4C2311yescharacteristic, complemented
647C4⋊C4×D43C2312yes—
648C4⋊C4×D43C2312yes—
649C4⋊C4×D43C2312yes—
650C4⋊C4×D43C2312yes—
651C4⋊C4×D43C2312yescomplemented
652C2×C22⋊Dic43C2314yes—
653C2×C22⋊Dic43C2312yes—
654C2×C22⋊Dic43C2311yescharacteristic
655C2×C22⋊Dic43C2312yes—
656C2×C22⋊Dic43C2311yescharacteristic, complemented
657C2×C22⋊Dic43C2312yescomplemented
658C2×C22⋊Dic43C2314yescomplemented
659C2×(C2×D43)⋊C4C2312yes—
660C2×(C2×D43)⋊C4C2314yes—
661C2×(C2×D43)⋊C4C2312yes—
662C2×(C2×D43)⋊C4C2311yescharacteristic
663C2×(C2×D43)⋊C4C2311yescharacteristic
664C2×(C2×D43)⋊C4C2312yes—
665C2×(C2×D43)⋊C4C2312yes—
666C2×(C2×D43)⋊C4C2311yescharacteristic
667C2×(C2×D43)⋊C4C2311yescharacteristic
668C2×(C2×D43)⋊C4C2314yes—
669C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
670C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
671C2×(C2×D43)⋊C4C2314yescomplemented
672C22⋊C4×D43C2314yes—
673C22⋊C4×D43C2314yes—
674C22⋊C4×D43C2314yes—
675C22⋊C4×D43C2314yes—
676C22⋊C4×D43C2314yes—
677C22⋊C4×D43C2314yes—
678C22⋊C4×D43C2314yes—
679C22⋊C4×D43C2314yescomplemented
680C2×C4×Dic43C2311yescharacteristic, complemented
681C2×C4×Dic43C2312yescomplemented
682H(5,𝔽2)×C43—48no—
683C2×#41×C43C2314yes—
684C2×#41×C43C2314yescomplemented
685C2×#41×C43C2314yescomplemented
686C22×D4×C43C2311yescharacteristic
687C22×D4×C43C2312yes—
688C22×D4×C43C2312yes—
689C22×D4×C43C2311yescharacteristic
690C22×D4×C43C2314yes—
691C22×D4×C43C2314yescomplemented
692C22×D4×C43C2311yescharacteristic, complemented
693C22×D4×C43C2312yescomplemented
694C22×D4×C43C2314yescomplemented
695C23×C4×C43C2311yescharacteristic
696C23×C4×C43C2311yescharacteristic, complemented
697C4⋊Q8×C43C2312yescomplemented
698#127×C43C2312yescomplemented
699#124×C43C2314yescomplemented
700#123×C43C2314yes—
701#123×C43C2314yescomplemented
702#123×C43C2314yescomplemented
703#123×C43C2314yescomplemented
704C22⋊Q8×C43C2314yescomplemented
705C22⋊Q8×C43C2314yescomplemented
706#121×C43C2312yes—
707#121×C43C2312yes—
708#121×C43C2312yes—
709#121×C43C2312yes—
710#121×C43C2312yes—
711#121×C43C2312yes—
712#121×C43C2314yescomplemented
713#121×C43C2312yescomplemented
714#121×C43C2314yescomplemented
715#121×C43C2312yescomplemented
716#121×C43C2312yescomplemented
717#121×C43C2312yescomplemented
718#121×C43C2314yescomplemented
719#121×C43C2314yescomplemented
720#121×C43C2314yescomplemented
721#120×C43C2314yes—
722#120×C43C2314yescomplemented
723#120×C43C2314yescomplemented
724#120×C43C2314yescomplemented
725C4×D4×C43C2312yes—
726C4×D4×C43C2312yes—
727C4×D4×C43C2312yescomplemented
728C4×D4×C43C2312yescomplemented
729C4×D4×C43C2314yescomplemented
730C4×D4×C43C2312yescomplemented
731C4×D4×C43C2312yescomplemented
732C2×C4⋊C4×C43C2311yescharacteristic
733C2×C4⋊C4×C43C2311yescharacteristic, complemented
734C2×C4⋊C4×C43C2312yescomplemented
735C2×C4⋊C4×C43C2311yescharacteristic, complemented
736C2×C22⋊C4×C43C2311yescharacteristic
737C2×C22⋊C4×C43C2312yes—
738C2×C22⋊C4×C43C2311yescharacteristic, complemented
739C2×C22⋊C4×C43C2312yescomplemented
740C2×C22⋊C4×C43C2314yescomplemented
741C2×C42×C43C2311yescharacteristic, complemented
742C24×C43C2412yes—
743C24×C43C2412yes—
744C24×C43C2411yescharacteristic
745C24×C43C2414yes—
746C24×C43C2411yescharacteristic
747C23×D43—24no—
748C23×D43—42no—
749C23×D43—42no—
750C23×D43—44no—
751C23×D43—44no—
752C23×D43—44no—
753C23×D43C2411yescharacteristic
754C23×D43C2411yescharacteristic
755C23×D43C2411yescharacteristic
756C23×D43C2411yescharacteristic
757C23×D43C2411yescharacteristic
758C23×D43C2414yes—
759C23×D43C2414yes—
760C23×D43C2412yes—
761C23×D43C2411yescharacteristic
762C23×D43C2411yescharacteristic
763C23×D43C2414yes—
764#41×C43—48no—
765#41×C43—48no—
766#41×C43—48no—
767C2×Q8×C43C2414yes—
768C2×D4×C43—24no—
769C2×D4×C43—28no—
770C2×D4×C43—28no—
771C2×D4×C43—48no—
772C2×D4×C43—48no—
773C2×D4×C43—48no—
774C2×D4×C43—42no—
775C2×D4×C43—42no—
776C2×D4×C43—44no—
777C2×D4×C43C2412yes—
778C2×D4×C43C2412yes—
779C2×D4×C43C2412yes—
780C2×D4×C43C2412yes—
781C2×D4×C43C2414yes—
782C2×D4×C43C2414yes—
783C2×D4×C43C2414yes—
784C2×D4×C43C2414yes—
785C2×D4×C43C2414yes—
786C2×D4×C43C2414yes—
787C2×D4×C43C2412yes—
788C2×D4×C43C2412yes—
789C2×D4×C43C2414yes—
790C2×D4×C43C2414yes—
791C2×D4×C43C2414yes—
792C22×C4×C43—42no—
793C22×C4×C43—42no—
794C22×C4×C43C2411yescharacteristic
795C22×C4×C43C2411yescharacteristic
796C22×C4×C43C2412yes—
797C22×C4×C43C2412yes—
798C22×C4×C43C2411yescharacteristic
799C22×C4×C43C2412yes—
800C22×C4×C43C2411yescharacteristic
801C22×C4×C43C2411yescharacteristic
802C22×C4×C43C2411yescharacteristic
803C22×C4×C43C2411yescharacteristic
804C22×C4×C43C2412yes—
805C22×C4×C43C2411yescharacteristic
806C22×C4×C43C2411yescharacteristic
807C22×C4×C43C2414yes—
808C22×C4×C43C2414yes—
809C22×C4×C43C2414yes—
810C2×C22⋊D43—28no—
811C2×C22⋊D43—24no—
812C2×C22⋊D43—44no—
813C2×C22⋊D43—42no—
814C2×C22⋊D43—44no—
815C2×C22⋊D43—48no—
816C2×C22⋊D43—44no—
817C2×C22⋊D43—42no—
818C2×C22⋊D43—48no—
819C2×C22⋊D43—48no—
820C2×C22⋊D43—44no—
821C2×C22⋊D43—42no—
822C2×C22⋊D43—48no—
823C2×C22⋊D43C2414yes—
824C2×C22⋊D43C2414yes—
825C2×C22⋊D43C2414yes—
826C2×C22⋊D43C2414yes—
827C2×C22⋊D43C2412yes—
828C2×C22⋊D43C2412yes—
829C2×C22⋊D43C2412yes—
830C2×C22⋊D43C2414yes—
831C2×C22⋊D43C2412yes—
832C2×C22⋊D43C2412yes—
833C2×C22⋊D43C2414yes—
834C2×C22⋊D43C2414yes—
835C2×C22⋊D43C2414yes—
836C2×C22⋊D43C2414yes—
837C2×C22⋊D43C2412yes—
838C2×C22⋊D43C2412yes—
839C2×C22⋊D43C2414yes—
840C2×C22⋊D43C2414yes—
841C2×C22⋊D43C2414yes—
842C2×C22⋊D43C2414yes—
843C2×C22⋊D43C2412yes—
844C2×C22⋊D43C2414yes—
845C2×C22⋊D43C2414yes—
846C2×C22⋊D43C2414yes—
847C2×C22⋊D43C2414yes—
848C2×C22⋊D43C2414yes—
849C22×Dic43—42no—
850C22×Dic43—44no—
851C22×Dic43C2411yescharacteristic
852C22×Dic43C2411yescharacteristic
853C22×Dic43C2412yes—
854C22×Dic43C2411yescharacteristic
855C22×Dic43C2411yescharacteristic
856C22×Dic43C2414yes—
857C22×Dic43C2411yescharacteristic
858C22×Dic43C2412yes—
859C22×Dic43C2411yescharacteristic
860C22×Dic43C2412yes—
861C22×Dic43C2411yescharacteristic
862C22×Dic43C2414yes—
863C22×Dic43C2414yes—
864C22×Dic43C2411yescharacteristic
865C22×Dic43C2414yes—
866C22×Dic43C2411yescharacteristic
867C22×Dic43C2414yes—
868#10621900—28no—
869#10621900—44no—
870#10621900—44no—
871#10621900—48no—
872#10621900—44no—
873#10621900—44no—
874#10621900—48no—
875#10621900—48no—
876D4×D43—28no—
877D4×D43—44no—
878D4×D43—48no—
879D4×D43—48no—
880D4×D43—48no—
881D4×D43—48no—
882D4×D43—48no—
883D4×D43—48no—
884D4×D43—48no—
885D4×D43—48no—
886D4×D43—44no—
887D4×D43—44no—
888D4×D43—44no—
889#10621898—28no—
890#10621898—44no—
891#10621898—44no—
892#10621898—44no—
893#10621898—44no—
894#10621898—48no—
895C2×D172—44no—
896C2×D172—42no—
897C2×D172—42no—
898C2×D172—42no—
899C2×D172C2412yes—
900C2×D172C2412yes—
901C2×D172C2412yes—
902C2×D172C2412yes—
903C2×D172C2412yes—
904C2×D172C2414yes—
905C2×D172C2412yes—
906C2×D172C2414yes—
907C2×D172C2414yes—
908C2×C4×D43—24no—
909C2×C4×D43—24no—
910C2×C4×D43—24no—
911C2×C4×D43—42no—
912C2×C4×D43—42no—
913C2×C4×D43—42no—
914C2×C4×D43—44no—
915C2×C4×D43—42no—
916C2×C4×D43—42no—
917C2×C4×D43—42no—
918C2×C4×D43—42no—
919C2×C4×D43—42no—
920C2×C4×D43—42no—
921C2×C4×D43—42no—
922C2×C4×D43C2411yescharacteristic
923C2×C4×D43C2411yescharacteristic
924C2×C4×D43C2411yescharacteristic
925C2×C4×D43C2411yescharacteristic
926C2×C4×D43C2411yescharacteristic
927C2×C4×D43C2412yes—
928C2×C4×D43C2411yescharacteristic
929C2×C4×D43C2411yescharacteristic
930C2×C4×D43C2411yescharacteristic
931C2×C4×D43C2411yescharacteristic
932C2×C4×D43C2411yescharacteristic
933C2×C4×D43C2411yescharacteristic
934C2×C4×D43C2414yes—
935C2×C4×D43C2414yes—
936C2×C4×D43C2414yes—
937C2×C4×D43C2414yes—
938C2×C4×D43C2414yes—
939C2×C4×D43C2412yes—
940C2×C4×D43C2414yes—
941C2×C4×D43C2411yescharacteristic
942C2×C4×D43C2411yescharacteristic
943C2×C4×D43C2411yescharacteristic
944C2×C4×D43C2411yescharacteristic
945C2×C4×D43C2411yescharacteristic
946C2×Dic86—42no—
947C2×Dic86—42no—
948C2×Dic86C2412yes—
949C2×Dic86C2412yes—
950C2×Dic86C2412yes—
951C2×Dic86C2412yes—
952C2×Dic86C2414yes—
953C4⋊C4×C43C2412yes—
954C4⋊C4×C43C2412yes—
955C4⋊C4×C43C2412yes—
956C4⋊C4×C43C2412yes—
957C4⋊C4×C43C2412yes—
958C4⋊C4×C43C2412yes—
959C4⋊C4×C43C2414yes—
960C4⋊C4×C43C2414yes—
961C22⋊C4×C43C2414yes—
962C22⋊C4×C43C2412yes—
963C22⋊C4×C43C2412yes—
964C22⋊C4×C43C2414yes—
965C22⋊C4×C43C2414yes—
966C22⋊C4×C43C2412yes—
967C22⋊C4×C43C2412yes—
968C22⋊C4×C43C2414yes—
969C22⋊C4×C43C2414yes—
970C22⋊C4×C43C2414yes—
971C22⋊C4×C43C2414yes—
972C22⋊C4×C43C2414yes—
973C42×C43C2412yes—
974C42×C43C2412yes—
975C22⋊Dic43C2414yes—
976C22⋊Dic43C2414yes—
977C22⋊Dic43C2414yes—
978C22⋊Dic43C2414yes—
979C22⋊Dic43C2414yes—
980C22⋊Dic43C2414yes—
981C22⋊Dic43C2412yes—
982C22⋊Dic43C2414yes—
983C22⋊Dic43C2412yes—
984C22⋊Dic43C2414yes—
985C22⋊Dic43C2414yes—
986C22⋊Dic43C2412yes—
987C22⋊Dic43C2414yes—
988C22⋊Dic43C2412yes—
989C22⋊Dic43C2414yes—
990C22⋊Dic43C2414yes—
991C22⋊Dic43C2414yes—
992C22⋊Dic43C2414yes—
993(C2×D43)⋊C4C2414yes—
994(C2×D43)⋊C4C2414yes—
995(C2×D43)⋊C4C2412yes—
996(C2×D43)⋊C4C2412yes—
997(C2×D43)⋊C4C2414yes—
998(C2×D43)⋊C4C2414yes—
999(C2×D43)⋊C4C2414yes—
1000(C2×D43)⋊C4C2414yes—
1001(C2×D43)⋊C4C2414yes—
1002(C2×D43)⋊C4C2414yes—
1003(C2×D43)⋊C4C2414yes—
1004(C2×D43)⋊C4C2412yes—
1005(C2×D43)⋊C4C2412yes—
1006(C2×D43)⋊C4C2414yes—
1007(C2×D43)⋊C4C2412yes—
1008(C2×D43)⋊C4C2412yes—
1009(C2×D43)⋊C4C2414yes—
1010(C2×D43)⋊C4C2414yes—
1011(C2×D43)⋊C4C2414yes—
1012(C2×D43)⋊C4C2412yes—
1013(C2×D43)⋊C4C2414yes—
1014(C2×D43)⋊C4C2412yes—
1015(C2×D43)⋊C4C2412yes—
1016(C2×D43)⋊C4C2414yes—
1017(C2×D43)⋊C4C2412yes—
1018(C2×D43)⋊C4C2412yes—
1019(C2×D43)⋊C4C2412yes—
1020(C2×D43)⋊C4C2414yes—
1021C4⋊Dic43C2412yes—
1022C4⋊Dic43C2412yes—
1023C4⋊Dic43C2412yes—
1024C4⋊Dic43C2412yes—
1025C4⋊Dic43C2412yes—
1026C4⋊Dic43C2414yes—
1027C4⋊Dic43C2414yes—
1028C4⋊Dic43C2412yes—
1029C4⋊Dic43C2414yes—
1030C4⋊Dic43C2414yes—
1031Dic43⋊C4C2414yes—
1032Dic43⋊C4C2414yes—
1033Dic43⋊C4C2414yes—
1034Dic43⋊C4C2412yes—
1035Dic43⋊C4C2412yes—
1036Dic43⋊C4C2412yes—
1037Dic43⋊C4C2414yes—
1038Dic43⋊C4C2412yes—
1039Dic43⋊C4C2412yes—
1040Dic43⋊C4C2414yes—
1041Dic43⋊C4C2414yes—
1042Dic43⋊C4C2412yes—
1043Dic43⋊C4C2412yes—
1044Dic43⋊C4C2412yes—
1045Dic43⋊C4C2414yes—
1046Dic43⋊C4C2414yes—
1047Dic43⋊C4C2414yes—
1048Dic43⋊C4C2414yes—
1049Dic43⋊C4C2414yes—
1050Dic43⋊C4C2414yes—
1051C4×Dic43C2412yes—
1052C4×Dic43C2414yes—
1053C4×Dic43C2412yes—
1054C4×Dic43C2414yes—
1055C4×Dic43C2414yes—
1056C4×Dic43C2414yes—
1057C4×Dic43C2414yes—
1058C4×Dic43C2414yes—
1059C23×C43—24no—
1060C23×C43—24no—
1061C23×C43—22no—
1062C23×C43—41no—
1063C23×C43—41no—
1064C23×C43—42no—
1065C23×C43—41no—
1066C23×C43—42no—
1067C23×C43—41no—
1068C23×C43—42no—
1069C23×C43—42no—
1070C23×C43—44no—
1071C23×C43—44no—
1072C23×C43—44no—
1073C23×C43H(5,𝔽2)14yescomplemented
1074C23×C43C2514yes—
1075C23×C43C2512yes—
1076C23×C43C2514yes—
1077C23×C43C2511yescharacteristic
1078C23×C43C2511yescharacteristic
1079C23×C43C2511yescharacteristic
1080C22×D43—22no—
1081C22×D43—22no—
1082C22×D43—22no—
1083C22×D43—22no—
1084C22×D43—22no—
1085C22×D43—22no—
1086C22×D43—22no—
1087C22×D43—22no—
1088C22×D43—24no—
1089C22×D43—22no—
1090C22×D43—22no—
1091C22×D43—22no—
1092C22×D43—22no—
1093C22×D43—22no—
1094C22×D43—28no—
1095C22×D43—28no—
1096C22×D43—41no—
1097C22×D43—41no—
1098C22×D43—41no—
1099C22×D43—41no—
1100C22×D43—41no—
1101C22×D43—41no—
1102C22×D43—41no—
1103C22×D43—42no—
1104C22×D43—41no—
1105C22×D43—44no—
1106C22×D43—44no—
1107C22×D43—44no—
1108C22×D43—44no—
1109C22×D43—42no—
1110C22×D43—44no—
1111C22×D43—44no—
1112C22×D43—44no—
1113C22×D43—416no—
1114C22×D43—816no—
1115C22×D43C2514yes—
1116C22×D43C2511yescharacteristic
1117C22×D43C2511yescharacteristic
1118C22×D43C2512yes—
1119C22×D43C2511yescharacteristic
1120C22×D43C2511yescharacteristic
1121Q8×C43—44no—
1122D4×C43—28no—
1123D4×C43—28no—
1124D4×C43—28no—
1125D4×C43—28no—
1126D4×C43—24no—
1127D4×C43—24no—
1128D4×C43—24no—
1129D4×C43—24no—
1130D4×C43—42no—
1131D4×C43—44no—
1132D4×C43—44no—
1133D4×C43—42no—
1134D4×C43—44no—
1135D4×C43—44no—
1136D4×C43—44no—
1137C2×C4×C43—24no—
1138C2×C4×C43—24no—
1139C2×C4×C43—22no—
1140C2×C4×C43—22no—
1141C2×C4×C43—22no—
1142C2×C4×C43—22no—
1143C2×C4×C43—24no—
1144C2×C4×C43—41no—
1145C2×C4×C43—41no—
1146C2×C4×C43—41no—
1147C2×C4×C43—41no—
1148C2×C4×C43—41no—
1149C2×C4×C43—42no—
1150C2×C4×C43—44no—
1151C2×C4×C43—44no—
1152C2×C4×C43—44no—
1153C2×C4×C43C2512yes—
1154C2×C4×C43C2514yes—
1155C2×C4×C43C2511yescharacteristic
1156C2×C4×C43C2512yes—
1157C2×C4×C43C2514yes—
1158C2×C4×C43C2511yescharacteristic
1159C2×C4×C43C2512yes—
1160C2×C4×C43C2511yescharacteristic
1161C2×C4×C43C2511yescharacteristic
1162C22⋊D43—24no—
1163C22⋊D43—28no—
1164C22⋊D43—28no—
1165C22⋊D43—24no—
1166C22⋊D43—24no—
1167C22⋊D43—28no—
1168C22⋊D43—28no—
1169C22⋊D43—24no—
1170C22⋊D43—24no—
1171C22⋊D43—28no—
1172C22⋊D43—42no—
1173C22⋊D43—42no—
1174C22⋊D43—44no—
1175C22⋊D43—44no—
1176C22⋊D43—44no—
1177C22⋊D43—44no—
1178C22⋊D43—44no—
1179C22⋊D43—44no—
1180C22⋊D43—44no—
1181C22⋊D43—44no—
1182C22⋊D43—44no—
1183C22⋊D43—44no—
1184C22⋊D43—44no—
1185C22⋊D43—44no—
1186C22⋊D43—44no—
1187C22⋊D43—42no—
1188C2×Dic43—24no—
1189C2×Dic43—22no—
1190C2×Dic43—22no—
1191C2×Dic43—22no—
1192C2×Dic43—22no—
1193C2×Dic43—28no—
1194C2×Dic43—41no—
1195C2×Dic43—42no—
1196C2×Dic43—41no—
1197C2×Dic43—41no—
1198C2×Dic43—41no—
1199C2×Dic43—44no—
1200C2×Dic43—44no—
1201C2×Dic43—44no—
1202C2×Dic43—42no—
1203C2×Dic43—44no—
1204C2×Dic43—41no—
1205C2×Dic43C2512yes—
1206C2×Dic43C2514yes—
1207C2×Dic43C2511yescharacteristic
1208C2×Dic43C2514yes—
1209C2×Dic43C2512yes—
1210C2×Dic43C2514yes—
1211C2×Dic43C2512yes—
1212C2×Dic43C2511yescharacteristic
1213C2×Dic43C2511yescharacteristic
1214C2×Dic43C2511yescharacteristic
1215D172—24no—
1216D172—24no—
1217D172—24no—
1218D172—42no—
1219D172—42no—
1220D172—42no—
1221D172—44no—
1222D172—44no—
1223D172—44no—
1224C4×D43—22no—
1225C4×D43—22no—
1226C4×D43—22no—
1227C4×D43—22no—
1228C4×D43—22no—
1229C4×D43—22no—
1230C4×D43—24no—
1231C4×D43—22no—
1232C4×D43—22no—
1233C4×D43—22no—
1234C4×D43—41no—
1235C4×D43—41no—
1236C4×D43—41no—
1237C4×D43—41no—
1238C4×D43—41no—
1239C4×D43—41no—
1240C4×D43—42no—
1241C4×D43—44no—
1242C4×D43—44no—
1243C4×D43—44no—
1244C4×D43—44no—
1245C4×D43—44no—
1246C4×D43—44no—
1247C4×D43H(5,𝔽2)14yescomplemented
1248Dic86—24no—
1249Dic86—24no—
1250Dic86—42no—
1251Dic86—42no—
1252Dic86—44no—
1253#62818—431nomaximal, Sylow
1254C22×C43—21no—
1255C22×C43—21no—
1256C22×C43—21no—
1257C22×C43—21no—
1258C22×C43—21no—
1259C22×C43—21no—
1260C22×C43—24no—
1261C22×C43—24no—
1262C22×C43—24no—
1263C22×C43—24no—
1264C22×C43—22no—
1265C22×C43—22no—
1266C22×C43—24no—
1267C22×C43—24no—
1268C22×C43—22no—
1269C22×C43—44no—
1270C22×C43—84no—
1271C22×C43—82no—
1272C22×C43—84no—
1273C22×C43—164no—
1274C22×C43C2×H(5,𝔽2)12yes—
1275C22×C43C2×H(5,𝔽2)12yes—
1276C22×C43C2×H(5,𝔽2)12yes—
1277C22×C43C2611yescharacteristic
1278C2×D43—28no—
1279C2×D43—21no—
1280C2×D43—21no—
1281C2×D43—21no—
1282C2×D43—21no—
1283C2×D43—21no—
1284C2×D43—21no—
1285C2×D43—24no—
1286C2×D43—24no—
1287C2×D43—21no—
1288C2×D43—21no—
1289C2×D43—22no—
1290C2×D43—22no—
1291C2×D43—24no—
1292C2×D43—21no—
1293C2×D43—21no—
1294C2×D43—22no—
1295C2×D43—44no—
1296C2×D43—44no—
1297C2×D43—44no—
1298C2×D43—44no—
1299C2×D43—44no—
1300C2×D43—88no—
1301C2×D43—88no—
1302C2×D43—82no—
1303C2×D43—84no—
1304C2×D43—164no—
1305C2×D43C2×H(5,𝔽2)12yes—
1306C2×D43#58512yes—
1307C4×C43—22no—
1308C4×C43—21no—
1309C4×C43—24no—
1310C4×C43—21no—
1311C4×C43—21no—
1312C4×C43—24no—
1313C4×C43—22no—
1314C4×C43—22no—
1315C4×C43C2×H(5,𝔽2)12yes—
1316Dic43—22no—
1317Dic43—24no—
1318Dic43—21no—
1319Dic43—22no—
1320Dic43—24no—
1321Dic43—21no—
1322Dic43—21no—
1323Dic43—24no—
1324Dic43—22no—
1325Dic43C2×H(5,𝔽2)12yes—
1326#3542—432no—
1327#3542—434no—
1328#3542—432no—
1329#3537—432no—
1330#3537—432no—
1331#3536—432no—
1332#3536—432no—
1333#3534—434no—
1334#3534—432no—
1335#3534—432no—
1336#3519—434no—
1337#3519—432no—
1338#3519—432no—
1339#3505—432no—
1340#3505—431no—
1341#3505—431no—
1342#3496—432no—
1343#3496—431no—
1344#3496D4311yescharacteristic, complemented
1345#3494—432no—
1346#3494—432no—
1347#3492—432no—
1348#3490—434no—
1349#3488—432no—
1350#3488—432no—
1351#3484—432no—
1352#3484—432no—
1353#3484—432no—
1354C2×#525—431no—
1355C2×#525—431no—
1356C22×#121—431no—
1357C2×C43—22no—
1358C2×C43—22no—
1359C2×C43—22no—
1360C2×C43—44no—
1361C2×C43—44no—
1362C2×C43—42no—
1363C2×C43C22×H(5,𝔽2)11yescharacteristic
1364C2×C43C22×H(5,𝔽2)11yescharacteristic
1365C2×C43C2×#58511yescharacteristic
1366D43—22no—
1367D43—22no—
1368D43—41no—
1369D43—41no—
1370D43—44no—
1371D43—42no—
1372C2×H(5,𝔽2)—432no—
1373C2×H(5,𝔽2)—432no—
1374C2×H(5,𝔽2)C2×D4312yescomplemented
1375C22×#41—431no—
1376C22×#41—431no—
1377C23×D4—431no—
1378C23×D4—432no—
1379C24×C4—431no—
1380#562—434no—
1381#562—434no—
1382#562—434no—
1383#562—434no—
1384#560—434no—
1385#560—434no—
1386#560—434no—
1387#560—434no—
1388#555—432no—
1389#555—434no—
1390#555—432no—
1391#554—432no—
1392#554—434no—
1393#554—432no—
1394#553—434no—
1395#553—434no—
1396#553—432no—
1397#553—434no—
1398#553—434no—
1399#553—432no—
1400#553—434no—
1401#553—432no—
1402#553—434no—
1403#553—434no—
1404#553—432no—
1405#553—432no—
1406#553—432no—
1407#552—434no—
1408#552—432no—
1409#552—432no—
1410#551—434no—
1411#551—434no—
1412#551—434no—
1413#551—434no—
1414#551—434no—
1415#551—434no—
1416#551—434no—
1417#551—434no—
1418#550—432no—
1419#550—432no—
1420#550—434no—
1421#548—432no—
1422#548—434no—
1423#548—432no—
1424#547—434no—
1425#547—434no—
1426#547—432no—
1427#547—432no—
1428#547C2×D4312yescomplemented
1429#547C2×D4312yescomplemented
1430#546—434no—
1431#546—434no—
1432#546—434no—
1433#546—434no—
1434#546—434no—
1435#546—434no—
1436#546—432no—
1437#546—434no—
1438#546—432no—
1439#546—434no—
1440#546—434no—
1441#546—434no—
1442#546—434no—
1443#546—434no—
1444#546—434no—
1445#546—434no—
1446#546—432no—
1447#546—434no—
1448#546—434no—
1449#546—434no—
1450#546—434no—
1451#546—432no—
1452#546—432no—
1453#546—432no—
1454#546—434no—
1455#546—434no—
1456#546—434no—
1457#546C2×D4314yescomplemented
1458#546C2×D4314yescomplemented
1459D42—434no—
1460D42—434no—
1461D42—434no—
1462D42—434no—
1463D42—434no—
1464D42—432no—
1465D42—434no—
1466D42—432no—
1467D42—432no—
1468D42—432no—
1469D42—434no—
1470D42—434no—
1471D42—434no—
1472D42—434no—
1473D42—434no—
1474D42C2×D4312yescomplemented
1475D42C2×D4312yescomplemented
1476#544—432no—
1477#543—434no—
1478#542—432no—
1479#542—434no—
1480#542—432no—
1481#540—432no—
1482#540—434no—
1483#540—434no—
1484#540—434no—
1485#540—434no—
1486#540—432no—
1487#540—434no—
1488#539—434no—
1489#539—434no—
1490#539—434no—
1491#539—432no—
1492#539—432no—
1493#538—434no—
1494#538—434no—
1495#538—434no—
1496#538—434no—
1497#538—432no—
1498#538—434no—
1499#538—434no—
1500#538—434no—
1501#538—434no—
1502#538—432no—
1503#538—434no—
1504#537—434no—
1505#537—432no—
1506#537—434no—
1507#537—432no—
1508#537—432no—
1509#537—432no—
1510#537C2×D4312yescomplemented
1511#535—434no—
1512#535—432no—
1513#535—432no—
1514#535—432no—
1515#535—432no—
1516#535—434no—
1517#535—434no—
1518#534—432no—
1519#534—432no—
1520#534—432no—
1521#534—434no—
1522#534—434no—
1523#534—434no—
1524#534—434no—
1525#534—432no—
1526#534—434no—
1527#534—434no—
1528#534C2×D4312yescomplemented
1529#534C2×D4312yescomplemented
1530#532—434no—
1531#532—432no—
1532#532C2×D4312yescomplemented
1533#529—434no—
1534#529—432no—
1535#529—432no—
1536#525—434no—
1537#525—432no—
1538#525—434no—
1539#525—432no—
1540#525—432no—
1541#525—432no—
1542#525—432no—
1543#525—432no—
1544#525—432no—
1545#525—432no—
1546#525—432no—
1547#525—432no—
1548#525—434no—
1549#525—432no—
1550#525—432no—
1551#525—432no—
1552#525—432no—
1553#525—432no—
1554#525—432no—
1555#525—432no—
1556#525—432no—
1557C2×#123—431no—
1558C2×#123—432no—
1559C2×#123—431no—
1560C2×C22⋊Q8—431no—
1561C2×C22⋊Q8—431no—
1562C2×C22⋊Q8—431no—
1563C2×C22⋊Q8—431no—
1564C2×#121—431no—
1565C2×#121—432no—
1566C2×#121—431no—
1567C2×#121—431no—
1568C2×#121—434no—
1569C2×#121—431no—
1570C2×#121—432no—
1571C2×#121—432no—
1572C2×#121—432no—
1573C2×#121—432no—
1574C2×#121—432no—
1575C2×#121—432no—
1576C2×#121—432no—
1577C2×#121—432no—
1578C2×#121—432no—
1579C2×#121—431no—
1580C2×#121—432no—
1581C2×#121—431no—
1582C2×#121C2×D4311yescharacteristic, complemented
1583C2×#121C2×D4311yescharacteristic, complemented
1584C2×#121C2×D4312yescomplemented
1585C2×#120—432no—
1586C2×#120—431no—
1587C2×#120—434no—
1588C2×#120—434no—
1589C2×#120—431no—
1590#520—432no—
1591#520—432no—
1592#518—432no—
1593#518—432no—
1594#518—434no—
1595#518—432no—
1596#518—434no—
1597C2×C4×D4—432no—
1598C2×C4×D4—431no—
1599C2×C4×D4—431no—
1600C2×C4×D4—432no—
1601C2×C4×D4—431no—
1602C2×C4×D4C2×D4311yescharacteristic, complemented
1603C2×#117—431no—
1604C2×#117—431no—
1605C22×C4⋊C4—431no—
1606C22×C22⋊C4—432no—
1607C43#6281811yescharacteristic, complemented, Sylow
1608C25—431no—
1609C25—432no—
1610H(5,𝔽2)—48no—
1611H(5,𝔽2)—1728no—
1612H(5,𝔽2)—1728no—
1613C2×#41—432no—
1614C2×#41—432no—
1615C2×#41—432no—
1616C2×#41—432no—
1617C2×#41—434no—
1618C2×#41—434no—
1619C2×#41—432no—
1620C2×#41—434no—
1621C2×#41—432no—
1622C2×#41—432no—
1623C2×#41—432no—
1624C2×#41—432no—
1625C2×#41—432no—
1626C2×#41—434no—
1627C2×#41—1724no—
1628C2×#41—1724no—
1629C2×#41C22×D4314yes—
1630C2×#41C22×D4314yescomplemented
1631C2×#41C22×D4314yescomplemented
1632C22×Q8—431no—
1633C22×Q8—431no—
1634C22×D4—431no—
1635C22×D4—432no—
1636C22×D4—431no—
1637C22×D4—432no—
1638C22×D4—434no—
1639C22×D4—431no—
1640C22×D4—432no—
1641C22×D4—434no—
1642C22×D4—432no—
1643C22×D4—431no—
1644C22×D4—432no—
1645C22×D4—434no—
1646C22×D4—434no—
1647C22×D4—432no—
1648C22×D4—434no—
1649C22×D4—434no—
1650C22×D4—434no—
1651C22×D4—432no—
1652C22×D4—432no—
1653C22×D4—432no—
1654C22×D4—434no—
1655C22×D4—434no—
1656C22×D4—434no—
1657C22×D4—434no—
1658C22×D4—434no—
1659C22×D4—432no—
1660C22×D4—431no—
1661C22×D4—431no—
1662C22×D4—432no—
1663C22×D4—431no—
1664C22×D4—1724no—
1665C22×D4—1728no—
1666C22×D4C22×D4312yes—
1667C22×D4C22×D4311yescharacteristic
1668C22×D4C22×D4312yes—
1669C22×D4C22×D4314yes—
1670C22×D4C22×D4311yescharacteristic
1671C22×D4C22×D4311yescharacteristic, complemented
1672C22×D4C22×D4314yescomplemented
1673C22×D4C22×D4314yescomplemented
1674C22×D4C22×D4312yescomplemented
1675C23×C4—431no—
1676C23×C4—432no—
1677C23×C4—431no—
1678C23×C4—431no—
1679C23×C4—431no—
1680C23×C4—431no—
1681C23×C4—432no—
1682C23×C4—431no—
1683C23×C4—431no—
1684C23×C4—431no—
1685C23×C4—431no—
1686C23×C4—431no—
1687C23×C4—431no—
1688C23×C4—431no—
1689C23×C4—431no—
1690C23×C4—431no—
1691C23×C4—1724no—
1692C23×C4C22×D4311yescharacteristic
1693C23×C4C22×D4311yescharacteristic, complemented
1694C4⋊Q8—434no—
1695C4⋊Q8—432no—
1696C4⋊Q8C22×D4312yescomplemented
1697#127—434no—
1698#127—432no—
1699#127—434no—
1700#127—434no—
1701#127—434no—
1702#127—434no—
1703#127C22×D4312yescomplemented
1704#126—434no—
1705#126—434no—
1706#126—434no—
1707#126—434no—
1708#126—434no—
1709#126—434no—
1710#126—434no—
1711#126—434no—
1712#126—434no—
1713#126—434no—
1714#126—434no—
1715#126—434no—
1716#125—434no—
1717#125—432no—
1718#125—434no—
1719#125—434no—
1720#125—434no—
1721#125—434no—
1722#125—432no—
1723#124—434no—
1724#124—434no—
1725#124—434no—
1726#124—432no—
1727#124—434no—
1728#124—434no—
1729#124—434no—
1730#124—434no—
1731#124—434no—
1732#124—434no—
1733#124—434no—
1734#124—434no—
1735#124—434no—
1736#124—432no—
1737#124C22×D4314yescomplemented
1738#123—434no—
1739#123—434no—
1740#123—434no—
1741#123—434no—
1742#123—434no—
1743#123—434no—
1744#123—434no—
1745#123—434no—
1746#123—434no—
1747#123—434no—
1748#123—434no—
1749#123—434no—
1750#123—434no—
1751#123—434no—
1752#123—434no—
1753#123—434no—
1754#123—432no—
1755#123—432no—
1756#123—432no—
1757#123—432no—
1758#123—434no—
1759#123—434no—
1760#123—434no—
1761#123—434no—
1762#123—432no—
1763#123—434no—
1764#123—432no—
1765#123—434no—
1766#123—432no—
1767#123—434no—
1768#123—432no—
1769#123—434no—
1770#123—434no—
1771#123—434no—
1772#123—434no—
1773#123—434no—
1774#123—434no—
1775#123—434no—
1776#123—434no—
1777#123—434no—
1778#123C22×D4314yes—
1779#123C22×D4314yescomplemented
1780#123C22×D4314yescomplemented
1781#123C22×D4314yescomplemented
1782C22⋊Q8—434no—
1783C22⋊Q8—434no—
1784C22⋊Q8—434no—
1785C22⋊Q8—434no—
1786C22⋊Q8—432no—
1787C22⋊Q8—432no—
1788C22⋊Q8—432no—
1789C22⋊Q8—432no—
1790C22⋊Q8—432no—
1791C22⋊Q8—434no—
1792C22⋊Q8—434no—
1793C22⋊Q8—432no—
1794C22⋊Q8—432no—
1795C22⋊Q8—432no—
1796C22⋊Q8—432no—
1797C22⋊Q8—432no—
1798C22⋊Q8—432no—
1799C22⋊Q8—432no—
1800C22⋊Q8—432no—
1801C22⋊Q8—432no—
1802C22⋊Q8—434no—
1803C22⋊Q8—434no—
1804C22⋊Q8—434no—
1805C22⋊Q8—434no—
1806C22⋊Q8—434no—
1807C22⋊Q8—432no—
1808C22⋊Q8—432no—
1809C22⋊Q8—432no—
1810C22⋊Q8—432no—
1811C22⋊Q8—434no—
1812C22⋊Q8—434no—
1813C22⋊Q8—434no—
1814C22⋊Q8—434no—
1815C22⋊Q8C22×D4314yescomplemented
1816C22⋊Q8C22×D4314yescomplemented
1817#121—434no—
1818#121—432no—
1819#121—434no—
1820#121—432no—
1821#121—432no—
1822#121—434no—
1823#121—434no—
1824#121—432no—
1825#121—432no—
1826#121—432no—
1827#121—432no—
1828#121—432no—
1829#121—432no—
1830#121—432no—
1831#121—432no—
1832#121—432no—
1833#121—434no—
1834#121—434no—
1835#121—434no—
1836#121—434no—
1837#121—432no—
1838#121—434no—
1839#121—434no—
1840#121—434no—
1841#121—434no—
1842#121—432no—
1843#121—434no—
1844#121—434no—
1845#121—434no—
1846#121—434no—
1847#121—434no—
1848#121—434no—
1849#121—434no—
1850#121—434no—
1851#121—434no—
1852#121—434no—
1853#121—434no—
1854#121—434no—
1855#121—434no—
1856#121—434no—
1857#121—434no—
1858#121—434no—
1859#121—434no—
1860#121—432no—
1861#121—432no—
1862#121—432no—
1863#121—432no—
1864#121—432no—
1865#121—434no—
1866#121—434no—
1867#121—434no—
1868#121—434no—
1869#121—434no—
1870#121—434no—
1871#121—432no—
1872#121—432no—
1873#121—432no—
1874#121—432no—
1875#121—432no—
1876#121—434no—
1877#121—434no—
1878#121—434no—
1879#121—434no—
1880#121—434no—
1881#121—434no—
1882#121—432no—
1883#121—432no—
1884#121—432no—
1885#121—432no—
1886#121—434no—
1887#121—434no—
1888#121—434no—
1889#121—434no—
1890#121—434no—
1891#121—434no—
1892#121—434no—
1893#121—434no—
1894#121—434no—
1895#121C22×D4312yes—
1896#121C22×D4312yes—
1897#121C22×D4312yes—
1898#121C22×D4312yes—
1899#121C22×D4312yes—
1900#121C22×D4312yes—
1901#121C22×D4312yescomplemented
1902#121C22×D4312yescomplemented
1903#121C22×D4314yescomplemented
1904#121C22×D4312yescomplemented
1905#121C22×D4312yescomplemented
1906#121C22×D4314yescomplemented
1907#121C22×D4314yescomplemented
1908#121C22×D4314yescomplemented
1909#121C22×D4314yescomplemented
1910#120—434no—
1911#120—434no—
1912#120—434no—
1913#120—434no—
1914#120—434no—
1915#120—434no—
1916#120—434no—
1917#120—434no—
1918#120—432no—
1919#120—434no—
1920#120—432no—
1921#120—434no—
1922#120—432no—
1923#120—434no—
1924#120—432no—
1925#120—434no—
1926#120—434no—
1927#120—434no—
1928#120—434no—
1929#120—434no—
1930#120—434no—
1931#120—434no—
1932#120—434no—
1933#120—434no—
1934#120—434no—
1935#120—434no—
1936#120—434no—
1937#120—432no—
1938#120—432no—
1939#120—432no—
1940#120—432no—
1941#120—434no—
1942#120—434no—
1943#120—434no—
1944#120—434no—
1945#120—434no—
1946#120C22×D4314yes—
1947#120C22×D4314yescomplemented
1948#120C22×D4314yescomplemented
1949#120C22×D4314yescomplemented
1950C4×Q8—434no—
1951C4×Q8—432no—
1952C4×Q8—432no—
1953C4×D4—434no—
1954C4×D4—434no—
1955C4×D4—434no—
1956C4×D4—434no—
1957C4×D4—434no—
1958C4×D4—434no—
1959C4×D4—434no—
1960C4×D4—434no—
1961C4×D4—434no—
1962C4×D4—432no—
1963C4×D4—432no—
1964C4×D4—432no—
1965C4×D4—432no—
1966C4×D4—432no—
1967C4×D4—432no—
1968C4×D4—432no—
1969C4×D4—432no—
1970C4×D4—432no—
1971C4×D4—432no—
1972C4×D4—434no—
1973C4×D4—434no—
1974C4×D4—434no—
1975C4×D4—434no—
1976C4×D4—434no—
1977C4×D4—434no—
1978C4×D4—434no—
1979C4×D4—434no—
1980C4×D4—434no—
1981C4×D4—434no—
1982C4×D4—434no—
1983C4×D4—434no—
1984C4×D4—432no—
1985C4×D4—434no—
1986C4×D4—434no—
1987C4×D4—434no—
1988C4×D4—434no—
1989C4×D4—434no—
1990C4×D4—434no—
1991C4×D4—434no—
1992C4×D4—434no—
1993C4×D4—434no—
1994C4×D4—434no—
1995C4×D4—434no—
1996C4×D4—434no—
1997C4×D4—434no—
1998C4×D4—432no—
1999C4×D4—432no—
2000C4×D4—432no—
2001C4×D4—432no—
2002C4×D4—432no—
2003C4×D4C22×D4312yes—
2004C4×D4C22×D4312yes—
2005C4×D4C22×D4312yescomplemented
2006C4×D4C22×D4312yescomplemented
2007C4×D4C22×D4314yescomplemented
2008C4×D4C22×D4312yescomplemented
2009C4×D4C22×D4312yescomplemented
2010#117—434no—
2011#117—432no—
2012#117—432no—
2013#117—432no—
2014#117—432no—
2015#117—432no—
2016#117—434no—
2017#117—432no—
2018#117—434no—
2019#117—434no—
2020#117—434no—
2021#117—434no—
2022#117—432no—
2023#117—432no—
2024#117—432no—
2025#117—432no—
2026#117—434no—
2027C2×C4⋊C4—432no—
2028C2×C4⋊C4—431no—
2029C2×C4⋊C4—431no—
2030C2×C4⋊C4—431no—
2031C2×C4⋊C4—431no—
2032C2×C4⋊C4—431no—
2033C2×C4⋊C4—432no—
2034C2×C4⋊C4—431no—
2035C2×C4⋊C4—432no—
2036C2×C4⋊C4—431no—
2037C2×C4⋊C4—434no—
2038C2×C4⋊C4—432no—
2039C2×C4⋊C4—432no—
2040C2×C4⋊C4—432no—
2041C2×C4⋊C4—432no—
2042C2×C4⋊C4—432no—
2043C2×C4⋊C4C22×D4311yescharacteristic
2044C2×C4⋊C4C22×D4311yescharacteristic, complemented
2045C2×C4⋊C4C22×D4311yescharacteristic, complemented
2046C2×C4⋊C4C22×D4312yescomplemented
2047C2×C22⋊C4—432no—
2048C2×C22⋊C4—432no—
2049C2×C22⋊C4—431no—
2050C2×C22⋊C4—432no—
2051C2×C22⋊C4—431no—
2052C2×C22⋊C4—434no—
2053C2×C22⋊C4—434no—
2054C2×C22⋊C4—432no—
2055C2×C22⋊C4—432no—
2056C2×C22⋊C4—431no—
2057C2×C22⋊C4—432no—
2058C2×C22⋊C4—431no—
2059C2×C22⋊C4—431no—
2060C2×C22⋊C4—432no—
2061C2×C22⋊C4—431no—
2062C2×C22⋊C4—431no—
2063C2×C22⋊C4—431no—
2064C2×C22⋊C4—434no—
2065C2×C22⋊C4—434no—
2066C2×C22⋊C4—434no—
2067C2×C22⋊C4—434no—
2068C2×C22⋊C4—434no—
2069C2×C22⋊C4—434no—
2070C2×C22⋊C4—434no—
2071C2×C22⋊C4—434no—
2072C2×C22⋊C4—434no—
2073C2×C22⋊C4—434no—
2074C2×C22⋊C4—434no—
2075C2×C22⋊C4C22×D4312yes—
2076C2×C22⋊C4C22×D4311yescharacteristic
2077C2×C22⋊C4C22×D4312yescomplemented
2078C2×C22⋊C4C22×D4311yescharacteristic, complemented
2079C2×C22⋊C4C22×D4314yescomplemented
2080C2×C42—432no—
2081C2×C42—431no—
2082C2×C42C22×D4311yescharacteristic, complemented
2083C24—431no—
2084C24—431no—
2085C24—431no—
2086C24—431no—
2087C24—431no—
2088C24—434no—
2089C24—434no—
2090C24—432no—
2091C24—431no—
2092C24—431no—
2093C24—434no—
2094C24—864no—
2095C24—1724no—
2096C24—1724no—
2097C24—1724no—
2098C24—1722no—
2099C24—1722no—
2100C24C23×D4312yes—
2101C24C23×D4311yescharacteristic
2102C24C23×D4312yes—
2103C24C23×D4314yes—
2104C24C23×D4311yescharacteristic
2105#41—48no—
2106#41—48no—
2107#41—48no—
2108#41—868no—
2109#41—868no—
2110#41—1724no—
2111#41—1728no—
2112#41—1724no—
2113#41—1724no—
2114#41—1724no—
2115#41—1724no—
2116#41—1728no—
2117#41—1728no—
2118#41—1724no—
2119#41—1724no—
2120#41—1724no—
2121#41—1728no—
2122C2×Q8—432no—
2123C2×Q8—432no—
2124C2×Q8—432no—
2125C2×Q8—432no—
2126C2×Q8—434no—
2127C2×Q8—1722no—
2128C2×Q8—1722no—
2129C2×Q8C23×D4314yes—
2130C2×D4—28no—
2131C2×D4—24no—
2132C2×D4—28no—
2133C2×D4—42no—
2134C2×D4—42no—
2135C2×D4—44no—
2136C2×D4—48no—
2137C2×D4—48no—
2138C2×D4—48no—
2139C2×D4—432no—
2140C2×D4—434no—
2141C2×D4—432no—
2142C2×D4—434no—
2143C2×D4—432no—
2144C2×D4—432no—
2145C2×D4—434no—
2146C2×D4—434no—
2147C2×D4—434no—
2148C2×D4—432no—
2149C2×D4—434no—
2150C2×D4—434no—
2151C2×D4—434no—
2152C2×D4—432no—
2153C2×D4—434no—
2154C2×D4—432no—
2155C2×D4—432no—
2156C2×D4—434no—
2157C2×D4—434no—
2158C2×D4—434no—
2159C2×D4—434no—
2160C2×D4—434no—
2161C2×D4—434no—
2162C2×D4—434no—
2163C2×D4—434no—
2164C2×D4—434no—
2165C2×D4—432no—
2166C2×D4—432no—
2167C2×D4—432no—
2168C2×D4—432no—
2169C2×D4—432no—
2170C2×D4—434no—
2171C2×D4—432no—
2172C2×D4—434no—
2173C2×D4—434no—
2174C2×D4—868no—
2175C2×D4—868no—
2176C2×D4—864no—
2177C2×D4—1722no—
2178C2×D4—1724no—
2179C2×D4—1722no—
2180C2×D4—1722no—
2181C2×D4—1724no—
2182C2×D4—1724no—
2183C2×D4—1724no—
2184C2×D4—1724no—
2185C2×D4—1724no—
2186C2×D4—1722no—
2187C2×D4—1728no—
2188C2×D4—1724no—
2189C2×D4—1728no—
2190C2×D4—1728no—
2191C2×D4—1728no—
2192C2×D4—1728no—
2193C2×D4—1728no—
2194C2×D4—1728no—
2195C2×D4—1728no—
2196C2×D4—1728no—
2197C2×D4—1728no—
2198C2×D4—1722no—
2199C2×D4—1724no—
2200C2×D4—1728no—
2201C2×D4—1722no—
2202C2×D4—1724no—
2203C2×D4—1728no—
2204C2×D4C23×D4314yes—
2205C2×D4C23×D4314yes—
2206C2×D4C23×D4314yes—
2207C2×D4C23×D4314yes—
2208C2×D4C23×D4312yes—
2209C2×D4C23×D4312yes—
2210C2×D4C23×D4312yes—
2211C2×D4C23×D4312yes—
2212C2×D4C23×D4314yes—
2213C2×D4C23×D4314yes—
2214C2×D4C23×D4312yes—
2215C2×D4C23×D4314yes—
2216C2×D4C23×D4314yes—
2217C2×D4C23×D4314yes—
2218C2×D4C23×D4312yes—
2219C22×C4—42no—
2220C22×C4—42no—
2221C22×C4—431no—
2222C22×C4—431no—
2223C22×C4—431no—
2224C22×C4—432no—
2225C22×C4—431no—
2226C22×C4—431no—
2227C22×C4—434no—
2228C22×C4—431no—
2229C22×C4—432no—
2230C22×C4—431no—
2231C22×C4—431no—
2232C22×C4—431no—
2233C22×C4—432no—
2234C22×C4—431no—
2235C22×C4—434no—
2236C22×C4—434no—
2237C22×C4—434no—
2238C22×C4—434no—
2239C22×C4—431no—
2240C22×C4—431no—
2241C22×C4—431no—
2242C22×C4—431no—
2243C22×C4—431no—
2244C22×C4—432no—
2245C22×C4—431no—
2246C22×C4—431no—
2247C22×C4—431no—
2248C22×C4—431no—
2249C22×C4—431no—
2250C22×C4—431no—
2251C22×C4—434no—
2252C22×C4—434no—
2253C22×C4—434no—
2254C22×C4—432no—
2255C22×C4—434no—
2256C22×C4—434no—
2257C22×C4—434no—
2258C22×C4—431no—
2259C22×C4—431no—
2260C22×C4—431no—
2261C22×C4—431no—
2262C22×C4—864no—
2263C22×C4—864no—
2264C22×C4—864no—
2265C22×C4—1722no—
2266C22×C4—1722no—
2267C22×C4—1722no—
2268C22×C4—1722no—
2269C22×C4—1724no—
2270C22×C4—1722no—
2271C22×C4—1722no—
2272C22×C4—1722no—
2273C22×C4—1722no—
2274C22×C4—1722no—
2275C22×C4—1722no—
2276C22×C4—1722no—
2277C22×C4—1724no—
2278C22×C4C23×D4311yescharacteristic
2279C22×C4C23×D4312yes—
2280C22×C4C23×D4311yescharacteristic
2281C22×C4C23×D4312yes—
2282C22×C4C23×D4311yescharacteristic
2283C22×C4C23×D4311yescharacteristic
2284C22×C4C23×D4312yes—
2285C22×C4C23×D4311yescharacteristic
2286C22×C4C23×D4311yescharacteristic
2287C22×C4C23×D4314yes—
2288C22×C4C23×D4311yescharacteristic
2289C22×C4C23×D4311yescharacteristic
2290C22×C4C23×D4314yes—
2291C22×C4C23×D4311yescharacteristic
2292C22×C4C23×D4312yes—
2293C22×C4C23×D4314yes—
2294C4⋊C4—434no—
2295C4⋊C4—432no—
2296C4⋊C4—432no—
2297C4⋊C4—434no—
2298C4⋊C4—432no—
2299C4⋊C4—432no—
2300C4⋊C4—432no—
2301C4⋊C4—432no—
2302C4⋊C4—434no—
2303C4⋊C4—432no—
2304C4⋊C4—432no—
2305C4⋊C4—432no—
2306C4⋊C4—432no—
2307C4⋊C4—432no—
2308C4⋊C4—434no—
2309C4⋊C4—432no—
2310C4⋊C4—434no—
2311C4⋊C4—434no—
2312C4⋊C4—432no—
2313C4⋊C4—432no—
2314C4⋊C4—434no—
2315C4⋊C4—434no—
2316C4⋊C4—434no—
2317C4⋊C4—434no—
2318C4⋊C4—434no—
2319C4⋊C4—434no—
2320C4⋊C4—434no—
2321C4⋊C4—434no—
2322C4⋊C4—434no—
2323C4⋊C4—434no—
2324C4⋊C4C23×D4312yes—
2325C4⋊C4C23×D4312yes—
2326C4⋊C4C23×D4312yes—
2327C4⋊C4C23×D4312yes—
2328C4⋊C4C23×D4314yes—
2329C4⋊C4C23×D4312yes—
2330C4⋊C4C23×D4312yes—
2331C4⋊C4C23×D4314yes—
2332C22⋊C4—434no—
2333C22⋊C4—432no—
2334C22⋊C4—434no—
2335C22⋊C4—432no—
2336C22⋊C4—434no—
2337C22⋊C4—434no—
2338C22⋊C4—434no—
2339C22⋊C4—432no—
2340C22⋊C4—434no—
2341C22⋊C4—434no—
2342C22⋊C4—434no—
2343C22⋊C4—434no—
2344C22⋊C4—434no—
2345C22⋊C4—432no—
2346C22⋊C4—434no—
2347C22⋊C4—434no—
2348C22⋊C4—434no—
2349C22⋊C4—434no—
2350C22⋊C4—434no—
2351C22⋊C4—434no—
2352C22⋊C4—434no—
2353C22⋊C4—432no—
2354C22⋊C4—432no—
2355C22⋊C4—434no—
2356C22⋊C4—432no—
2357C22⋊C4—432no—
2358C22⋊C4—432no—
2359C22⋊C4—434no—
2360C22⋊C4—434no—
2361C22⋊C4—434no—
2362C22⋊C4—434no—
2363C22⋊C4—434no—
2364C22⋊C4—432no—
2365C22⋊C4—432no—
2366C22⋊C4—434no—
2367C22⋊C4—434no—
2368C22⋊C4—434no—
2369C22⋊C4—434no—
2370C22⋊C4—434no—
2371C22⋊C4—432no—
2372C22⋊C4—434no—
2373C22⋊C4—432no—
2374C22⋊C4—432no—
2375C22⋊C4—432no—
2376C22⋊C4—432no—
2377C22⋊C4—434no—
2378C22⋊C4C23×D4314yes—
2379C22⋊C4C23×D4312yes—
2380C22⋊C4C23×D4314yes—
2381C22⋊C4C23×D4314yes—
2382C22⋊C4C23×D4314yes—
2383C22⋊C4C23×D4314yes—
2384C22⋊C4C23×D4312yes—
2385C22⋊C4C23×D4314yes—
2386C22⋊C4C23×D4314yes—
2387C22⋊C4C23×D4312yes—
2388C22⋊C4C23×D4312yes—
2389C22⋊C4C23×D4314yes—
2390C42—434no—
2391C42—432no—
2392C42—434no—
2393C42—432no—
2394C42—434no—
2395C42—434no—
2396C42—434no—
2397C42—434no—
2398C42C23×D4312yes—
2399C42C23×D4312yes—
2400C23—22no—
2401C23—24no—
2402C23—24no—
2403C23—41no—
2404C23—41no—
2405C23—41no—
2406C23—42no—
2407C23—42no—
2408C23—41no—
2409C23—42no—
2410C23—42no—
2411C23—44no—
2412C23—44no—
2413C23—44no—
2414C23—431no—
2415C23—431no—
2416C23—434no—
2417C23—431no—
2418C23—431no—
2419C23—432no—
2420C23—862no—
2421C23—862no—
2422C23—868no—
2423C23—868no—
2424C23—862no—
2425C23—862no—
2426C23—862no—
2427C23—862no—
2428C23—862no—
2429C23—862no—
2430C23—864no—
2431C23—862no—
2432C23—862no—
2433C23—862no—
2434C23—862no—
2435C23—862no—
2436C23—34416no—
2437C23—1721no—
2438C23—1722no—
2439C23—1724no—
2440C23—1724no—
2441C23—1724no—
2442C23—1721no—
2443C23—1722no—
2444C23—1724no—
2445C23—1721no—
2446C23—1721no—
2447C23—1721no—
2448C23—1721no—
2449C23—1721no—
2450C23—1721no—
2451C23—1724no—
2452C23—1724no—
2453C23—1724no—
2454C23—17216no—
2455C23#1306337014yescomplemented
2456C23C24×D4314yes—
2457C23C24×D4312yes—
2458C23C24×D4314yes—
2459C23C24×D4311yescharacteristic
2460C23C24×D4311yescharacteristic
2461C23C24×D4311yescharacteristic
2462Q8—44no—
2463Q8—864no—
2464Q8—864no—
2465Q8—1722no—
2466Q8—1722no—
2467Q8—1724no—
2468D4—24no—
2469D4—24no—
2470D4—28no—
2471D4—28no—
2472D4—28no—
2473D4—28no—
2474D4—24no—
2475D4—24no—
2476D4—44no—
2477D4—44no—
2478D4—44no—
2479D4—42no—
2480D4—44no—
2481D4—42no—
2482D4—44no—
2483D4—864no—
2484D4—864no—
2485D4—868no—
2486D4—864no—
2487D4—864no—
2488D4—868no—
2489D4—868no—
2490D4—864no—
2491D4—868no—
2492D4—868no—
2493D4—864no—
2494D4—864no—
2495D4—864no—
2496D4—1722no—
2497D4—1724no—
2498D4—1724no—
2499D4—1724no—
2500D4—1722no—
2501D4—1722no—
2502D4—1724no—
2503D4—1724no—
2504D4—1724no—
2505D4—1724no—
2506D4—1724no—
2507D4—1724no—
2508D4—1724no—
2509D4—1724no—
2510D4—1722no—
2511D4—1722no—
2512D4—1724no—
2513D4—1724no—
2514D4—1724no—
2515D4—1724no—
2516D4—1724no—
2517D4—1722no—
2518C2×C4—24no—
2519C2×C4—22no—
2520C2×C4—24no—
2521C2×C4—22no—
2522C2×C4—22no—
2523C2×C4—22no—
2524C2×C4—24no—
2525C2×C4—41no—
2526C2×C4—41no—
2527C2×C4—41no—
2528C2×C4—41no—
2529C2×C4—42no—
2530C2×C4—44no—
2531C2×C4—44no—
2532C2×C4—44no—
2533C2×C4—41no—
2534C2×C4—431no—
2535C2×C4—434no—
2536C2×C4—434no—
2537C2×C4—432no—
2538C2×C4—431no—
2539C2×C4—434no—
2540C2×C4—432no—
2541C2×C4—432no—
2542C2×C4—434no—
2543C2×C4—431no—
2544C2×C4—431no—
2545C2×C4—862no—
2546C2×C4—862no—
2547C2×C4—862no—
2548C2×C4—862no—
2549C2×C4—862no—
2550C2×C4—862no—
2551C2×C4—862no—
2552C2×C4—862no—
2553C2×C4—862no—
2554C2×C4—868no—
2555C2×C4—864no—
2556C2×C4—862no—
2557C2×C4—862no—
2558C2×C4—862no—
2559C2×C4—862no—
2560C2×C4—864no—
2561C2×C4—1721no—
2562C2×C4—1721no—
2563C2×C4—1721no—
2564C2×C4—1721no—
2565C2×C4—1721no—
2566C2×C4—1721no—
2567C2×C4—1724no—
2568C2×C4—1724no—
2569C2×C4—1722no—
2570C2×C4—1724no—
2571C2×C4—1724no—
2572C2×C4—1724no—
2573C2×C4—1724no—
2574C2×C4—1721no—
2575C2×C4—1721no—
2576C2×C4—1721no—
2577C2×C4—1721no—
2578C2×C4—1722no—
2579C2×C4—1724no—
2580C2×C4—1724no—
2581C2×C4—1724no—
2582C2×C4—1721no—
2583C2×C4—1722no—
2584C2×C4—1724no—
2585C2×C4C24×D4312yes—
2586C2×C4C24×D4311yescharacteristic
2587C2×C4C24×D4314yes—
2588C2×C4C24×D4312yes—
2589C2×C4C24×D4314yes—
2590C2×C4C24×D4312yes—
2591C2×C4C24×D4311yescharacteristic
2592C2×C4C24×D4311yescharacteristic
2593C2×C4C24×D4311yescharacteristic
2594C22—21no—
2595C22—21no—
2596C22—21no—
2597C22—21no—
2598C22—21no—
2599C22—21no—
2600C22—22no—
2601C22—24no—
2602C22—24no—
2603C22—22no—
2604C22—24no—
2605C22—24no—
2606C22—24no—
2607C22—24no—
2608C22—22no—
2609C22—44no—
2610C22—84no—
2611C22—84no—
2612C22—82no—
2613C22—164no—
2614C22—432no—
2615C22—432no—
2616C22—868no—
2617C22—861no—
2618C22—861no—
2619C22—861no—
2620C22—861no—
2621C22—861no—
2622C22—861no—
2623C22—862no—
2624C22—864no—
2625C22—862no—
2626C22—864no—
2627C22—861no—
2628C22—861no—
2629C22—864no—
2630C22—862no—
2631C22—861no—
2632C22—861no—
2633C22—3444no—
2634C22—3442no—
2635C22—3448no—
2636C22—3448no—
2637C22—1724no—
2638C22—1724no—
2639C22—1724no—
2640C22—1724no—
2641C22—1724no—
2642C22—6884no—
2643C22C2×#1306337012yes—
2644C22C2×#1306337012yes—
2645C22C2×#1306337012yes—
2646C22C25×D4311yescharacteristic
2647C4—21no—
2648C4—21no—
2649C4—21no—
2650C4—22no—
2651C4—22no—
2652C4—24no—
2653C4—24no—
2654C4—22no—
2655C4—432no—
2656C4—861no—
2657C4—861no—
2658C4—861no—
2659C4—864no—
2660C4—862no—
2661C4—864no—
2662C4—862no—
2663C4—864no—
2664C4—862no—
2665C4H(5,𝔽2)×D4312yes—
2666C2—22no—
2667C2—22no—
2668C2—22no—
2669C2—42no—
2670C2—44no—
2671C2—44no—
2672C2—862no—
2673C2—862no—
2674C2—1724no—
2675C2—1722no—
2676C2—1721no—
2677C2—1721no—
2678C2C2×H(5,𝔽2)×D4311yescharacteristic
2679C2C22×#1306337011yescharacteristic
2680C2#585×D4311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3496C2
hypercenter#3496D43
hypocenterC43#62818
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3496

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #19148916C2semidirect
2. #19148912C2semidirect
3. #19148896C2semidirect
4. #19148832C2semidirect
5. #19148826C2semidirect
6. #19148818C2semidirect
7. #19148812C2semidirect
8. #19148782C2semidirect
9. #19148780C2semidirect
10. #19148774C2semidirect
11. #19148622C2semidirect
12. #19148621C2semidirect
13. #19148616C2semidirect
14. #19148434C2semidirect
15. #19148432C2semidirect
16. #19148429C2semidirect
17. #19148354C2semidirect
18. #19148352C2semidirect
19. #19148325C2semidirect
20. #19148319C2semidirect
21. #19148297C2semidirect
22. #19148277C2semidirect
23. #19148260C2semidirect
24. #19148255C2semidirect
25. #19148227C2semidirect
26. #19148226C2semidirect
27. #19148223C2semidirect
28. C2×#14583409C2semidirect
29. C2×#14583408C2semidirect
30. C2×#121×D43C2semidirect
31. C43×#3496C2semidirect
32. C2×#13063370C22semidirect
33. C2×#13063370C22semidirect
34. C22×#10621898C22semidirect
35. C22×#10621900C22semidirect
36. C22×D4×D43C22semidirect
37. C22×D4×D43C22semidirect
38. C23×C4×D43C22semidirect
39. #14583646C22semidirect
40. #14583645C22semidirect
41. #14583645C22semidirect
42. #14583644C22semidirect
43. #14583639C22semidirect
44. #14583638C22semidirect
45. #14583638C22semidirect
46. #14583637C22semidirect
47. #14583615C22semidirect
48. #14583613C22semidirect
49. #14583611C22semidirect
50. #14583610C22semidirect
51. #14583604C22semidirect
52. #14583603C22semidirect
53. #14583601C22semidirect
54. #14583601C22semidirect
55. #14583599C22semidirect
56. #14583599C22semidirect
57. #14583598C22semidirect
58. #14583598C22semidirect
59. #14583597C22semidirect
60. #14583596C22semidirect
61. #14583595C22semidirect
62. #14583594C22semidirect
63. #14583592C22semidirect
64. #14583592C22semidirect
65. #14583592C22semidirect
66. #14583589C22semidirect
67. #14583586C22semidirect
68. #14583584C22semidirect
69. #14583580C22semidirect
70. #14583579C22semidirect
71. #14583578C22semidirect
72. #14583578C22semidirect
73. #14583577C22semidirect
74. #14583576C22semidirect
75. #14583575C22semidirect
76. #14583572C22semidirect
77. #14583569C22semidirect
78. #14583567C22semidirect
79. #14583567C22semidirect
80. #14583558C22semidirect
81. #14583555C22semidirect
82. #14583555C22semidirect
83. #14583550C22semidirect
84. #14583549C22semidirect
85. #14583548C22semidirect
86. #14583548C22semidirect
87. #14583546C22semidirect
88. #14583546C22semidirect
89. #14583545C22semidirect
90. #14583544C22semidirect
91. #14583544C22semidirect
92. #14583543C22semidirect
93. #14583543C22semidirect
94. #14583543C22semidirect
95. #14583543C22semidirect
96. #14583541C22semidirect
97. #14583541C22semidirect
98. #14583539C22semidirect
99. #14583539C22semidirect
100. #14583539C22semidirect
101. #14583538C22semidirect
102. #14583538C22semidirect
103. #14583538C22semidirect
104. #14583538C22semidirect
105. #14583538C22semidirect
106. #14583537C22semidirect
107. #14583537C22semidirect
108. #14583537C22semidirect
109. #14583537C22semidirect
110. #14583537C22semidirect
111. #14583537C22semidirect
112. #14583536C22semidirect
113. #14583536C22semidirect
114. #14583534C22semidirect
115. #14583533C22semidirect
116. #14583533C22semidirect
117. #14583533C22semidirect
118. D4×C22⋊D43C22semidirect
119. D4×C22⋊D43C22semidirect
120. D4×C22⋊D43C22semidirect
121. D4×C22⋊D43C22semidirect
122. D4×C22⋊D43C22semidirect
123. D4×C22⋊D43C22semidirect
124. D4×C22⋊D43C22semidirect
125. D4×C22⋊D43C22semidirect
126. #14583531C22semidirect
127. #14583531C22semidirect
128. #14583531C22semidirect
129. #14583526C22semidirect
130. #14583524C22semidirect
131. #14583523C22semidirect
132. #14583519C22semidirect
133. #14583514C22semidirect
134. #14583503C22semidirect
135. #14583501C22semidirect
136. #14583501C22semidirect
137. #14583500C22semidirect
138. #14583500C22semidirect
139. #14583499C22semidirect
140. #14583499C22semidirect
141. #14583496C22semidirect
142. #14583495C22semidirect
143. #14583494C22semidirect
144. #14583493C22semidirect
145. #14583492C22semidirect
146. #14583489C22semidirect
147. #14583487C22semidirect
148. #14583487C22semidirect
149. #14583486C22semidirect
150. #14583485C22semidirect
151. #14583484C22semidirect
152. #14583484C22semidirect
153. #14583483C22semidirect
154. #14583483C22semidirect
155. #14583481C22semidirect
156. #14583481C22semidirect
157. #14583480C22semidirect
158. #14583478C22semidirect
159. #14583478C22semidirect
160. #14583477C22semidirect
161. #14583476C22semidirect
162. #14583476C22semidirect
163. #14583466C22semidirect
164. #14583465C22semidirect
165. #14583465C22semidirect
166. #14583464C22semidirect
167. #14583464C22semidirect
168. #14583463C22semidirect
169. #14583462C22semidirect
170. #14583460C22semidirect
171. #14583459C22semidirect
172. #14583459C22semidirect
173. #14583458C22semidirect
174. #14583458C22semidirect
175. #14583458C22semidirect
176. #14583458C22semidirect
177. #14583458C22semidirect
178. #14583457C22semidirect
179. #14583457C22semidirect
180. #14583445C22semidirect
181. #14583444C22semidirect
182. #14583433C22semidirect
183. #14583430C22semidirect
184. #14583426C22semidirect
185. #14583410C22semidirect
186. #14583409C22semidirect
187. #14583409C22semidirect
188. #14583409C22semidirect
189. #14583409C22semidirect
190. #14583409C22semidirect
191. #14583409C22semidirect
192. #14583409C22semidirect
193. #14583409C22semidirect
194. #14583409C22semidirect
195. #14583408C22semidirect
196. #14583408C22semidirect
197. #14583408C22semidirect
198. #14583408C22semidirect
199. #14583408C22semidirect
200. #14583408C22semidirect
201. #14583408C22semidirect
202. #14583408C22semidirect
203. #14583407C22semidirect
204. #14583406C22semidirect
205. #14583405C22semidirect
206. C2×#13063310C22semidirect
207. C2×#13063307C22semidirect
208. C2×#13063307C22semidirect
209. C2×#13063305C22semidirect
210. C2×#13063304C22semidirect
211. C2×#13063303C22semidirect
212. C2×#13063302C22semidirect
213. C2×#13063300C22semidirect
214. C2×#13063299C22semidirect
215. C2×#13063298C22semidirect
216. C2×#13063298C22semidirect
217. C2×#13063297C22semidirect
218. C2×#13063297C22semidirect
219. C2×#13063297C22semidirect
220. C2×#13063296C22semidirect
221. C2×#13063296C22semidirect
222. #121×D43C22semidirect
223. #121×D43C22semidirect
224. #121×D43C22semidirect
225. #121×D43C22semidirect
226. #121×D43C22semidirect
227. #121×D43C22semidirect
228. #121×D43C22semidirect
229. #121×D43C22semidirect
230. #121×D43C22semidirect
231. C2×#13063295C22semidirect
232. C2×#13063293C22semidirect
233. C2×#13063293C22semidirect
234. C2×#13063293C22semidirect
235. #120×D43C22semidirect
236. #14583380C22semidirect
237. #14583378C22semidirect
238. #14583374C22semidirect
239. #14583372C22semidirect
240. #14583372C22semidirect
241. #14583371C22semidirect
242. #14583371C22semidirect
243. C2×C4×D172C22semidirect
244. C2×D4×Dic43C22semidirect
245. C2×C4×C22⋊D43C22semidirect
246. C2×C4×C22⋊D43C22semidirect
247. C2×(C22⋊D43)⋊C4C22semidirect
248. C2×#13063283C22semidirect
249. C2×#13063282C22semidirect
250. C2×C4⋊C4×D43C22semidirect
251. C2×C22⋊C4×D43C22semidirect
252. C2×H(5,𝔽2)×C43C22semidirect
253. C43×#547C22semidirect
254. C43×#547C22semidirect
255. C43×#546C22semidirect
256. C43×#546C22semidirect
257. D42×C43C22semidirect
258. D42×C43C22semidirect
259. C43×#537C22semidirect
260. C43×#534C22semidirect
261. C43×#534C22semidirect
262. C43×#532C22semidirect
263. C2×#121×C43C22semidirect
264. C2×#121×C43C22semidirect
265. C2×#121×C43C22semidirect
266. C2×C4×D4×C43C22semidirect
274. C2×#10621898C23semidirect
275. C2×#10621898C23semidirect
276. C2×#10621898C23semidirect
277. C2×#10621898C23semidirect
282. C2×#10621900C23semidirect
283. C2×#10621900C23semidirect
284. C2×#10621900C23semidirect
285. C2×#10621900C23semidirect
286. C2×#10621900C23semidirect
287. C22×Dic86C23semidirect
288. C22×Dic86C23semidirect
303. C22×C22⋊D43C23semidirect
304. C22×C22⋊D43C23semidirect
305. C22×C22⋊D43C23semidirect
319. C2×D4×D43C23semidirect
320. C2×D4×D43C23semidirect
322. C23×Dic43C23semidirect
337. C22×C4×D43C23semidirect
338. #13063324C23semidirect
339. #13063323C23semidirect
340. #13063321C23semidirect
341. #13063321C23semidirect
342. #13063321C23semidirect
343. #13063321C23semidirect
344. #13063321C23semidirect
345. #13063321C23semidirect
346. #13063320C23semidirect
347. #13063320C23semidirect
348. #13063320C23semidirect
349. #13063320C23semidirect
350. #13063319C23semidirect
351. #13063318C23semidirect
352. #13063318C23semidirect
353. #13063318C23semidirect
354. #13063318C23semidirect
355. #13063318C23semidirect
356. #13063318C23semidirect
357. #13063318C23semidirect
358. #13063317C23semidirect
359. #13063316C23semidirect
360. #13063316C23semidirect
361. #13063315C23semidirect
362. #13063315C23semidirect
363. #13063315C23semidirect
364. #13063315C23semidirect
365. #13063314C23semidirect
366. #13063314C23semidirect
367. #13063314C23semidirect
368. #13063313C23semidirect
369. #13063312C23semidirect
370. #13063312C23semidirect
371. #13063312C23semidirect
372. #13063311C23semidirect
373. #13063311C23semidirect
374. #13063311C23semidirect
375. #13063311C23semidirect
376. #13063311C23semidirect
377. #13063311C23semidirect
378. #13063311C23semidirect
381. #13063310C23semidirect
382. #13063310C23semidirect
383. #13063310C23semidirect
384. #13063310C23semidirect
385. #13063310C23semidirect
386. #13063310C23semidirect
387. #13063309C23semidirect
388. #13063309C23semidirect
389. #13063309C23semidirect
391. #13063308C23semidirect
392. #13063308C23semidirect
393. #13063308C23semidirect
394. #13063308C23semidirect
395. #13063308C23semidirect
396. #13063308C23semidirect
397. #13063308C23semidirect
402. #13063307C23semidirect
403. #13063307C23semidirect
404. #13063307C23semidirect
405. #13063307C23semidirect
406. #13063307C23semidirect
407. #13063307C23semidirect
408. #13063307C23semidirect
409. #13063307C23semidirect
410. #13063307C23semidirect
413. #13063306C23semidirect
414. #13063306C23semidirect
415. #13063306C23semidirect
416. #13063306C23semidirect
417. #13063306C23semidirect
418. #13063306C23semidirect
421. #13063305C23semidirect
422. #13063305C23semidirect
423. #13063305C23semidirect
424. #13063305C23semidirect
427. #13063304C23semidirect
428. #13063304C23semidirect
429. #13063304C23semidirect
430. #13063304C23semidirect
431. #13063304C23semidirect
436. #13063303C23semidirect
437. #13063303C23semidirect
438. #13063303C23semidirect
439. #13063303C23semidirect
442. #13063302C23semidirect
443. #13063302C23semidirect
444. #13063302C23semidirect
445. #13063302C23semidirect
446. #13063302C23semidirect
447. #13063302C23semidirect
450. #13063301C23semidirect
451. #13063301C23semidirect
456. #13063300C23semidirect
457. #13063300C23semidirect
458. #13063300C23semidirect
463. #13063299C23semidirect
464. #13063299C23semidirect
465. #13063299C23semidirect
466. #13063299C23semidirect
467. #13063299C23semidirect
468. #13063299C23semidirect
469. #13063299C23semidirect
478. #13063298C23semidirect
479. #13063298C23semidirect
480. #13063298C23semidirect
481. #13063298C23semidirect
482. #13063298C23semidirect
483. #13063298C23semidirect
484. #13063298C23semidirect
485. #13063298C23semidirect
486. #13063298C23semidirect
493. #13063297C23semidirect
494. #13063297C23semidirect
495. #13063297C23semidirect
496. #13063297C23semidirect
497. #13063297C23semidirect
498. #13063297C23semidirect
499. #13063297C23semidirect
500. #13063297C23semidirect
501. #13063297C23semidirect
502. #13063297C23semidirect
503. #13063297C23semidirect
504. #13063297C23semidirect
505. #13063297C23semidirect
506. #13063297C23semidirect
507. #13063297C23semidirect
508. #13063297C23semidirect
509. #13063297C23semidirect
510. #13063297C23semidirect
511. #13063297C23semidirect
512. #13063297C23semidirect
513. #13063297C23semidirect
514. #13063297C23semidirect
523. #13063296C23semidirect
524. #13063296C23semidirect
525. #13063296C23semidirect
526. #13063296C23semidirect
527. #13063296C23semidirect
528. #13063296C23semidirect
529. #13063296C23semidirect
536. #13063295C23semidirect
537. #13063295C23semidirect
538. #13063295C23semidirect
540. #13063294C23semidirect
541. #13063294C23semidirect
542. #13063294C23semidirect
543. #13063294C23semidirect
544. #13063294C23semidirect
545. #13063294C23semidirect
562. #13063293C23semidirect
563. #13063293C23semidirect
564. #13063293C23semidirect
565. #13063293C23semidirect
566. C4×Dic86C23semidirect
567. #13063290C23semidirect
568. #13063290C23semidirect
571. C4×D172C23semidirect
572. C4×D172C23semidirect
573. C4×D172C23semidirect
576. D4×Dic43C23semidirect
577. D4×Dic43C23semidirect
578. D4×Dic43C23semidirect
579. D4×Dic43C23semidirect
580. D4×Dic43C23semidirect
581. D4×Dic43C23semidirect
582. D4×Dic43C23semidirect
583. D4×Dic43C23semidirect
584. D4×Dic43C23semidirect
587. #13063287C23semidirect
596. C4×C22⋊D43C23semidirect
597. C4×C22⋊D43C23semidirect
598. C4×C22⋊D43C23semidirect
599. C4×C22⋊D43C23semidirect
600. C4×C22⋊D43C23semidirect
601. C4×C22⋊D43C23semidirect
602. C4×C22⋊D43C23semidirect
603. C4×C22⋊D43C23semidirect
604. C4×C22⋊D43C23semidirect
605. C4×C22⋊D43C23semidirect
606. C4×C22⋊D43C23semidirect
611. (C22⋊D43)⋊C4C23semidirect
612. (C22⋊D43)⋊C4C23semidirect
613. (C22⋊D43)⋊C4C23semidirect
614. (C22⋊D43)⋊C4C23semidirect
615. (C22⋊D43)⋊C4C23semidirect
616. (C22⋊D43)⋊C4C23semidirect
617. (C22⋊D43)⋊C4C23semidirect
618. (C22⋊D43)⋊C4C23semidirect
620. #13063284C23semidirect
623. #13063283C23semidirect
624. #13063283C23semidirect
625. #13063283C23semidirect
626. #13063283C23semidirect
629. #13063282C23semidirect
630. #13063282C23semidirect
631. #13063282C23semidirect
633. #13063281C23semidirect
634. #13063281C23semidirect
635. #13063281C23semidirect
637. C2×C4⋊Dic43C23semidirect
638. C2×C4⋊Dic43C23semidirect
639. C2×C4⋊Dic43C23semidirect
641. C2×Dic43⋊C4C23semidirect
642. C2×Dic43⋊C4C23semidirect
643. C2×Dic43⋊C4C23semidirect
644. C2×Dic43⋊C4C23semidirect
645. C2×Dic43⋊C4C23semidirect
646. C2×Dic43⋊C4C23semidirect
651. C4⋊C4×D43C23semidirect
656. C2×C22⋊Dic43C23semidirect
657. C2×C22⋊Dic43C23semidirect
658. C2×C22⋊Dic43C23semidirect
669. C2×(C2×D43)⋊C4C23semidirect
670. C2×(C2×D43)⋊C4C23semidirect
671. C2×(C2×D43)⋊C4C23semidirect
679. C22⋊C4×D43C23semidirect
680. C2×C4×Dic43C23semidirect
681. C2×C4×Dic43C23semidirect
684. C2×#41×C43C23semidirect
685. C2×#41×C43C23semidirect
691. C22×D4×C43C23semidirect
692. C22×D4×C43C23semidirect
693. C22×D4×C43C23semidirect
694. C22×D4×C43C23semidirect
696. C23×C4×C43C23semidirect
697. C4⋊Q8×C43C23semidirect
698. #127×C43C23semidirect
699. #124×C43C23semidirect
701. #123×C43C23semidirect
702. #123×C43C23semidirect
703. #123×C43C23semidirect
704. C22⋊Q8×C43C23semidirect
705. C22⋊Q8×C43C23semidirect
712. #121×C43C23semidirect
713. #121×C43C23semidirect
714. #121×C43C23semidirect
715. #121×C43C23semidirect
716. #121×C43C23semidirect
717. #121×C43C23semidirect
718. #121×C43C23semidirect
719. #121×C43C23semidirect
720. #121×C43C23semidirect
722. #120×C43C23semidirect
723. #120×C43C23semidirect
724. #120×C43C23semidirect
727. C4×D4×C43C23semidirect
728. C4×D4×C43C23semidirect
729. C4×D4×C43C23semidirect
730. C4×D4×C43C23semidirect
731. C4×D4×C43C23semidirect
733. C2×C4⋊C4×C43C23semidirect
734. C2×C4⋊C4×C43C23semidirect
735. C2×C4⋊C4×C43C23semidirect
738. C2×C22⋊C4×C43C23semidirect
739. C2×C22⋊C4×C43C23semidirect
740. C2×C22⋊C4×C43C23semidirect
741. C2×C42×C43C23semidirect
1073. C23×C43H(5,𝔽2)semidirect
1247. C4×D43H(5,𝔽2)semidirect
1344. #3496D43semidirect
1374. C2×H(5,𝔽2)C2×D43semidirect
1428. #547C2×D43semidirect
1429. #547C2×D43semidirect
1457. #546C2×D43semidirect
1458. #546C2×D43semidirect
1474. D42C2×D43semidirect
1475. D42C2×D43semidirect
1510. #537C2×D43semidirect
1528. #534C2×D43semidirect
1529. #534C2×D43semidirect
1532. #532C2×D43semidirect
1582. C2×#121C2×D43semidirect
1583. C2×#121C2×D43semidirect
1584. C2×#121C2×D43semidirect
1602. C2×C4×D4C2×D43semidirect
1607. C43#62818semidirect
1630. C2×#41C22×D43semidirect
1631. C2×#41C22×D43semidirect
1671. C22×D4C22×D43semidirect
1672. C22×D4C22×D43semidirect
1673. C22×D4C22×D43semidirect
1674. C22×D4C22×D43semidirect
1693. C23×C4C22×D43semidirect
1696. C4⋊Q8C22×D43semidirect
1703. #127C22×D43semidirect
1737. #124C22×D43semidirect
1779. #123C22×D43semidirect
1780. #123C22×D43semidirect
1781. #123C22×D43semidirect
1815. C22⋊Q8C22×D43semidirect
1816. C22⋊Q8C22×D43semidirect
1901. #121C22×D43semidirect
1902. #121C22×D43semidirect
1903. #121C22×D43semidirect
1904. #121C22×D43semidirect
1905. #121C22×D43semidirect
1906. #121C22×D43semidirect
1907. #121C22×D43semidirect
1908. #121C22×D43semidirect
1909. #121C22×D43semidirect
1947. #120C22×D43semidirect
1948. #120C22×D43semidirect
1949. #120C22×D43semidirect
2005. C4×D4C22×D43semidirect
2006. C4×D4C22×D43semidirect
2007. C4×D4C22×D43semidirect
2008. C4×D4C22×D43semidirect
2009. C4×D4C22×D43semidirect
2044. C2×C4⋊C4C22×D43semidirect
2045. C2×C4⋊C4C22×D43semidirect
2046. C2×C4⋊C4C22×D43semidirect
2077. C2×C22⋊C4C22×D43semidirect
2078. C2×C22⋊C4C22×D43semidirect
2079. C2×C22⋊C4C22×D43semidirect
2082. C2×C42C22×D43semidirect
2455. C23#13063370semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#191489162
#191489122
#191488962
#191488322
#191488262
#191488182
#191488122
#191487822
#191487802
#191487742
#191486222
#191486212
#191486162
#191484342
#191484322
#191484292
#191483542
#191483522
#191483252
#191483192
#191482972
#191482772
#191482602
#191482552
#191482272
#191482262
#191482232
C2×#145834092
C2×#145834082
C2×#121×D432
C43×#34962
#6281843