Finite Group Databasebeta

← #26005310

Subgroups — #26005310

Order 11008.

7330 conjugacy classes of subgroups.

The subgroup lattice has 2050 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149163C212yesmaximal, complemented
2#19149159C214yesmaximal, complemented
3#19149157C212yesmaximal, complemented
4#19149117C212yesmaximal, complemented
5#19149108C212yesmaximal, complemented
6#19149106C214yesmaximal, complemented
7#19148952C211yesmaximal, characteristic, complemented
8#19148949C212yesmaximal, complemented
9#19148947C212yesmaximal, complemented
10#19148944C212yesmaximal, complemented
11#19148554C214yesmaximal, complemented
12#19148552C214yesmaximal, complemented
13#19148548C214yesmaximal, complemented
14#19148545C214yesmaximal, complemented
15#19148483C214yesmaximal, complemented
16#19148381C214yesmaximal, complemented
17#19148279C214yesmaximal, complemented
18#19148277C214yesmaximal, complemented
19#19148244C212yesmaximal, complemented
20#19148227C212yesmaximal, complemented
21#19147889C212yesmaximal, complemented
22C2×#124×D43C211yesmaximal, characteristic, complemented
23C43×#3545C211yesmaximal, characteristic, complemented
24C2×#13063372C2212yescomplemented
25C2×#13063370C2212yescomplemented
26C22×Q8×D43C2211yescharacteristic, complemented
27C22×D4×D43C2211yescharacteristic
28#14583653C2212yescomplemented
29#14583652C2212yescomplemented
30#14583649C2211yescharacteristic, complemented
31#14583648C2212yescomplemented
32#14583647C2212yescomplemented
33#14583645C2214yescomplemented
34#14583644C2214yescomplemented
35#14583643C2212yescomplemented
36#14583643C2212yescomplemented
37#14583642C2212yescomplemented
38#14583641C2211yescharacteristic, complemented
39#14583641C2212yescomplemented
40#14583641C2212yescomplemented
41#14583633C2214yescomplemented
42#14583633C2214yescomplemented
43#14583632C2214yescomplemented
44#14583631C2214yescomplemented
45#14583620C2214yescomplemented
46#14583617C2214yescomplemented
47#14583616C2214yescomplemented
48#14583616C2214yescomplemented
49#14583615C2212yescomplemented
50#14583613C2214yescomplemented
51#14583612C2214yescomplemented
52#14583611C2212yescomplemented
53#14583611C2212yescomplemented
54#14583580C2214yescomplemented
55#14583580C2212yescomplemented
56#14583579C2212yescomplemented
57#14583579C2214yescomplemented
58#14583578C2214yescomplemented
59#14583578C2214yescomplemented
60#14583577C2212yescomplemented
61#14583577C2214yescomplemented
62#14583576C2214yescomplemented
63#14583576C2214yescomplemented
64#14583576C2214yescomplemented
65#14583575C2214yescomplemented
66#14583575C2214yescomplemented
67#14583574C2214yescomplemented
68#14583574C2214yescomplemented
69#14583573C2214yescomplemented
70#14583573C2214yescomplemented
71#14583573C2214yescomplemented
72#14583572C2214yescomplemented
73#14583572C2214yescomplemented
74#14583564C2214yescomplemented
75#14583564C2214yescomplemented
76#14583562C2214yescomplemented
77#14583562C2214yescomplemented
78#14583559C2214yescomplemented
79#14583559C2214yescomplemented
80#14583559C2214yescomplemented
81#14583558C2214yescomplemented
82#14583557C2214yescomplemented
83#14583557C2214yescomplemented
84#14583557C2214yescomplemented
85#14583555C2214yescomplemented
86#14583546C2214yescomplemented
87#14583545C2214yescomplemented
88#14583544C2214yescomplemented
89#14583543C2214yescomplemented
90#14583542C2214yescomplemented
91#14583541C2214yescomplemented
92#14583541C2214yescomplemented
93#14583541C2214yescomplemented
94#14583541C2214yescomplemented
95#14583541C2214yescomplemented
96#14583540C2214yescomplemented
97#14583539C2214yescomplemented
98#14583539C2214yescomplemented
99#14583539C2214yescomplemented
100#14583538C2214yescomplemented
101#14583538C2214yescomplemented
102#14583538C2214yescomplemented
103#14583538C2214yescomplemented
104#14583538C2214yescomplemented
105#14583537C2214yescomplemented
106#14583536C2214yescomplemented
107#14583536C2214yescomplemented
108#14583536C2214yescomplemented
109#14583533C2214yescomplemented
110#14583533C2214yescomplemented
111#14583531C2214yescomplemented
112#14583531C2214yescomplemented
113#14583524C2214yescomplemented
114#14583524C2214yescomplemented
115#14583523C2214yescomplemented
116#14583521C2214yescomplemented
117#14583519C2214yescomplemented
118#14583519C2214yescomplemented
119#14583517C2214yescomplemented
120#14583517C2214yescomplemented
121#14583516C2214yescomplemented
122#14583515C2214yescomplemented
123#14583515C2214yescomplemented
124#14583513C2214yescomplemented
125#14583513C2214yescomplemented
126#14583489C2214yescomplemented
127#14583488C2214yescomplemented
128#14583488C2214yescomplemented
129#14583488C2214yescomplemented
130#14583485C2214yescomplemented
131#14583485C2214yescomplemented
132#14583484C2214yescomplemented
133#14583483C2214yescomplemented
134#14583483C2214yescomplemented
135#14583483C2214yescomplemented
136#14583483C2214yescomplemented
137#14583482C2214yescomplemented
138#14583481C2214yescomplemented
139#14583481C2214yescomplemented
140#14583481C2214yescomplemented
141#14583473C2212yescomplemented
142#14583472C2214yescomplemented
143#14583471C2214yescomplemented
144#14583471C2214yescomplemented
145#14583471C2214yescomplemented
146#14583465C2214yescomplemented
147#14583464C2214yes—
148#14583464C2214yescomplemented
149#14583460C2214yescomplemented
150#14583460C2214yescomplemented
151#14583459C2214yescomplemented
152#14583458C2212yescomplemented
153#14583455C2212yescomplemented
154#14583453C2212yescomplemented
155#14583451C2212yescomplemented
156#14583448C2212yescomplemented
157#14583446C2212yescomplemented
158#14583446C2214yescomplemented
159#14583444C2212yescomplemented
160#14583444C2214yescomplemented
161#14583434C2212yescomplemented
162#14583433C2212yescomplemented
163#14583432C2214yescomplemented
164#14583432C2214yescomplemented
165#14583432C2214yescomplemented
166#14583429C2214yescomplemented
167#14583428C2212yescomplemented
168#14583427C2214yescomplemented
169#14583427C2214yescomplemented
170#14583426C2214yescomplemented
171#14583426C2214yescomplemented
172C2×#13063314C2211yescharacteristic, complemented
173C2×#13063313C2211yescharacteristic, complemented
174C2×#13063312C2211yescharacteristic, complemented
175C2×#13063311C2214yescomplemented
176C2×#13063311C2214yescomplemented
177#124×D43C2212yescomplemented
178#124×D43C2214yescomplemented
179#124×D43C2212yescomplemented
180#124×D43C2214yescomplemented
181#124×D43C2212yescomplemented
182#124×D43C2212yescomplemented
183#124×D43C2214yescomplemented
184#14583412C2212yescomplemented
185#14583411C2212yescomplemented
186#14583409C2212yescomplemented
187#14583408C2214yescomplemented
188#14583407C2214yescomplemented
189#14583407C2214yescomplemented
190#14583406C2212yescomplemented
191C2×#13063295C2212yescomplemented
192C2×#13063293C2212yescomplemented
193#120×D43C2214yescomplemented
194#14583376C2212yescomplemented
195#14583373C2214yescomplemented
196#14583372C2212yescomplemented
197#14583372C2214yescomplemented
198#14583371C2214yescomplemented
199#14583371C2214yescomplemented
200C4×#10621902C2212yescomplemented
201#14583367C2214yescomplemented
202C4×#10621900C2214yescomplemented
203C4×#10621900C2212yescomplemented
204C2×C22⋊C4×D43C2214yescomplemented
205C2×C42×D43C2211yescharacteristic, complemented
206C43×#563C2211yescharacteristic, complemented
207C43×#562C2212yescomplemented
208C43×H(3,𝔽4)C2211yescharacteristic, complemented
209C43×#555C2212yescomplemented
210C43×#551C2214yescomplemented
211C43×#551C2212yescomplemented
212C43×#546C2214yescomplemented
213C43×#542C2214yescomplemented
214C43×#538C2214yescomplemented
215C43×#536C2212yescomplemented
216C43×#534C2212yescomplemented
217C43×#529C2212yescomplemented
218C2×#124×C43C2211yescharacteristic, complemented
219C24×D43C2312yes—
220#13063372—48no—
221#13063370—48no—
222C2×#10621902C2312yes—
223C2×#10621898C2314yes—
224C2×#10621898C2314yes—
225C2×#10621898C2312yes—
226C2×#10621898C2314yescomplemented
227C2×#10621900C2314yes—
228C2×#10621900C2314yes—
229C2×#10621900C2312yes—
230C2×#10621900C2314yes—
231C2×#10621900C2314yescomplemented
232C22×Dic86C2312yes—
233C22×Dic86C2311yescharacteristic
234C22×Dic86C2314yescomplemented
235C2×Q8×D43—44no—
236C2×Q8×D43C2312yes—
237C2×Q8×D43C2314yes—
238C2×Q8×D43C2312yes—
239C2×Q8×D43C2314yescomplemented
240C22×D172C2314yes—
241C22×D172C2311yescharacteristic
242C22×C22⋊D43C2312yes—
243C22×C22⋊D43C2314yes—
244C22×C22⋊D43C2312yes—
245C22×C22⋊D43C2314yes—
246C2×D4×D43—44no—
247C2×D4×D43C2314yes—
248C2×D4×D43C2314yes—
249C2×D4×D43C2314yes—
250C2×D4×D43C2312yes—
251C2×D4×D43C2314yes—
252C2×D4×D43C2312yes—
253C2×D4×D43C2314yes—
254C22×C4×D43C2311yescharacteristic
255C22×C4×D43C2312yes—
256C22×C4×D43C2312yes—
257#13063324C2314yescomplemented
258#13063324C2314yescomplemented
259#13063324C2314yescomplemented
260#13063324C2314yescomplemented
261#13063324C2312yescomplemented
262#13063324C2312yescomplemented
263#13063323C2312yescomplemented
264#13063323C2312yescomplemented
265#13063323C2312yescomplemented
266#13063321C2314yes—
267#13063321C2314yes—
268#13063321C2312yescomplemented
269#13063320C2314yescomplemented
270#13063320C2314yescomplemented
271#13063320C2314yescomplemented
272#13063320C2314yescomplemented
273#13063320C2314yescomplemented
274#13063320C2314yescomplemented
275#13063320C2314yescomplemented
276#13063319C2314yescomplemented
277#13063319C2314yescomplemented
278#13063319C2314yescomplemented
279#13063318C2314yescomplemented
280#13063318C2314yescomplemented
281#13063318C2314yescomplemented
282#13063318C2314yescomplemented
283#13063318C2314yescomplemented
284#13063318C2314yescomplemented
285#13063318C2314yescomplemented
286#13063317C2312yescomplemented
287#13063315C2314yescomplemented
288#13063315C2314yescomplemented
289#13063314C2312yes—
290#13063314C2312yes—
291#13063314C2312yes—
292#13063314C2312yes—
293#13063314C2312yescomplemented
294#13063314C2312yescomplemented
295#13063314C2314yescomplemented
296#13063314C2314yescomplemented
297#13063313C2312yes—
298#13063313C2312yes—
299#13063313C2314yes—
300#13063313C2314yescomplemented
301#13063313C2314yescomplemented
302#13063313C2312yescomplemented
303#13063312C2312yes—
304#13063312C2312yes—
305#13063312C2312yes—
306#13063312C2312yes—
307#13063312C2314yescomplemented
308#13063312C2314yescomplemented
309#13063311C2314yes—
310#13063311C2314yes—
311#13063311C2314yes—
312#13063311C2314yes—
313#13063311C2314yes—
314#13063311C2314yes—
315#13063311C2314yes—
316#13063311C2314yes—
317#13063311C2314yes—
318#13063311C2314yes—
319#13063311C2314yescomplemented
320#13063311C2314yescomplemented
321#13063311C2314yescomplemented
322#13063311C2314yescomplemented
323#13063311C2314yescomplemented
324#13063311C2314yescomplemented
325#13063311C2314yescomplemented
326#13063311C2314yescomplemented
327#13063311C2314yescomplemented
328#13063311C2314yescomplemented
329#13063311C2314yescomplemented
330#13063311C2314yescomplemented
331#13063311C2314yescomplemented
332#13063311C2314yescomplemented
333#13063310C2314yes—
334#13063310C2314yes—
335#13063310C2314yes—
336#13063310C2314yes—
337#13063310C2314yescomplemented
338#13063310C2314yescomplemented
339#13063310C2314yescomplemented
340#13063310C2314yescomplemented
341#13063310C2314yescomplemented
342#13063310C2314yescomplemented
343#13063309C2314yes—
344#13063309C2314yescomplemented
345#13063309C2314yescomplemented
346#13063309C2314yescomplemented
347#13063308C2314yes—
348#13063308C2314yes—
349#13063308C2314yescomplemented
350#13063308C2314yescomplemented
351#13063308C2314yescomplemented
352#13063307C2314yes—
353#13063307C2314yes—
354#13063307C2314yescomplemented
355#13063307C2314yescomplemented
356#13063307C2314yescomplemented
357#13063307C2314yescomplemented
358#13063307C2314yescomplemented
359#13063307C2314yescomplemented
360#13063306C2314yes—
361#13063306C2312yes—
362#13063306C2312yes—
363#13063306C2314yescomplemented
364#13063306C2314yescomplemented
365#13063306C2314yescomplemented
366#13063305C2314yes—
367#13063305C2312yes—
368#13063305C2314yescomplemented
369#13063305C2314yescomplemented
370#13063304C2312yes—
371#13063304C2314yescomplemented
372#13063304C2314yescomplemented
373#13063303C2314yes—
374#13063303C2314yes—
375#13063303C2314yes—
376#13063303C2314yes—
377#13063303C2314yes—
378#13063303C2314yescomplemented
379#13063303C2314yescomplemented
380#13063303C2314yescomplemented
381#13063303C2314yescomplemented
382#13063303C2314yescomplemented
383#13063303C2314yescomplemented
384#13063303C2314yescomplemented
385#13063303C2314yescomplemented
386#13063302C2314yes—
387#13063302C2314yescomplemented
388#13063302C2314yescomplemented
389#13063302C2314yescomplemented
390#13063302C2314yescomplemented
391#13063302C2314yescomplemented
392#13063302C2314yescomplemented
393#13063302C2314yescomplemented
394#13063302C2314yescomplemented
395#13063301C2314yes—
396#13063301C2312yes—
397#13063301C2314yescomplemented
398#13063301C2314yescomplemented
399#13063301C2314yescomplemented
400#13063301C2314yescomplemented
401#13063300C2314yes—
402#13063300C2314yes—
403#13063300C2314yes—
404#13063300C2312yes—
405#13063300C2314yescomplemented
406#13063300C2314yescomplemented
407#13063299C2312yes—
408#13063299C2314yescomplemented
409#13063299C2314yescomplemented
410#13063298C2314yes—
411#13063298C2314yes—
412#13063298C2314yes—
413#13063298C2314yes—
414#13063298C2314yes—
415#13063298C2314yes—
416#13063298C2314yes—
417#13063298C2314yes—
418#13063298C2314yes—
419#13063298C2314yescomplemented
420#13063298C2314yescomplemented
421#13063298C2314yescomplemented
422#13063298C2314yescomplemented
423#13063297C2314yes—
424#13063297C2314yes—
425#13063297C2314yes—
426#13063297C2314yes—
427#13063297C2314yes—
428#13063297C2314yescomplemented
429#13063297C2314yescomplemented
430#13063297C2314yescomplemented
431#13063297C2314yescomplemented
432#13063296C2314yes—
433#13063296C2312yes—
434#13063296C2314yescomplemented
435#13063296C2314yescomplemented
436#13063295C2314yes—
437#13063295C2314yes—
438#13063295C2314yes—
439#13063295C2314yes—
440#13063295C2314yes—
441#13063295C2314yes—
442#13063295C2314yes—
443#13063295C2314yes—
444#13063295C2314yescomplemented
445#13063295C2314yescomplemented
446#13063295C2314yescomplemented
447#13063294C2314yes—
448#13063294C2314yescomplemented
449#13063293C2314yes—
450#13063293C2314yes—
451#13063293C2314yes—
452#13063293C2312yes—
453#13063293C2314yes—
454#13063293C2314yes—
455#13063293C2312yes—
456#13063293C2314yes—
457#13063293C2314yescomplemented
458#13063293C2314yescomplemented
459#13063293C2314yescomplemented
460Q8×Dic43C2312yescomplemented
461C4×Dic86C2314yescomplemented
462C4×Dic86C2314yescomplemented
463C4×Dic86C2314yescomplemented
464C4×Dic86C2312yescomplemented
465#13063290C2314yescomplemented
466#13063290C2314yescomplemented
467#13063290C2314yescomplemented
468#13063290C2312yescomplemented
469#13063290C2314yescomplemented
470#13063290C2314yescomplemented
471C4×D172C2314yes—
472C4×D172C2314yes—
473C4×D172C2314yes—
474C4×D172C2314yescomplemented
475C4×D172C2314yescomplemented
476C4×D172C2312yescomplemented
477D4×Dic43C2314yes—
478D4×Dic43C2312yescomplemented
479D4×Dic43C2314yescomplemented
480D4×Dic43C2314yescomplemented
481#13063287C2314yes—
482#13063287C2314yes—
483#13063287C2314yes—
484#13063287C2314yes—
485#13063287C2314yes—
486#13063287C2312yescomplemented
487#13063287C2314yescomplemented
488#13063287C2314yescomplemented
489C4×C22⋊D43C2314yes—
490C4×C22⋊D43C2314yes—
491C4×C22⋊D43C2314yes—
492C4×C22⋊D43C2314yes—
493C4×C22⋊D43C2314yes—
494C4×C22⋊D43C2314yes—
495C4×C22⋊D43C2314yescomplemented
496C4×C22⋊D43C2314yescomplemented
497C4×C22⋊D43C2314yescomplemented
498C4×C22⋊D43C2314yescomplemented
499C4×C22⋊D43C2314yescomplemented
500(C22⋊D43)⋊C4C2314yes—
501(C22⋊D43)⋊C4C2314yes—
502(C22⋊D43)⋊C4C2314yes—
503(C22⋊D43)⋊C4C2314yes—
504(C22⋊D43)⋊C4C2314yes—
505(C22⋊D43)⋊C4C2314yes—
506(C22⋊D43)⋊C4C2314yes—
507(C22⋊D43)⋊C4C2314yes—
508(C22⋊D43)⋊C4C2314yescomplemented
509(C22⋊D43)⋊C4C2314yescomplemented
510(C22⋊D43)⋊C4C2314yescomplemented
511(C22⋊D43)⋊C4C2314yescomplemented
512(C22⋊D43)⋊C4C2314yescomplemented
513(C22⋊D43)⋊C4C2314yescomplemented
514(C22⋊D43)⋊C4C2314yescomplemented
515#13063284C2312yes—
516#13063284C2314yescomplemented
517#13063283C2312yes—
518#13063283C2312yes—
519#13063283C2314yescomplemented
520#13063283C2314yescomplemented
521#13063283C2314yescomplemented
522#13063283C2314yescomplemented
523#13063282C2314yes—
524#13063282C2314yescomplemented
525#13063282C2314yescomplemented
526#13063282C2314yescomplemented
527#13063281C2314yes—
528#13063281C2314yes—
529#13063281C2314yescomplemented
530#13063281C2314yescomplemented
531#13063281C2314yescomplemented
532#13063281C2314yescomplemented
533C2×C22⋊Dic43C2312yes—
534C2×C22⋊Dic43C2314yes—
535C2×C22⋊Dic43C2314yescomplemented
536C2×(C2×D43)⋊C4C2314yes—
537C2×(C2×D43)⋊C4C2314yes—
538C2×(C2×D43)⋊C4C2314yes—
539C2×(C2×D43)⋊C4C2314yes—
540C2×(C2×D43)⋊C4C2314yescomplemented
541C2×(C2×D43)⋊C4C2314yescomplemented
542C22⋊C4×D43C2314yes—
543C22⋊C4×D43C2314yes—
544C22⋊C4×D43C2314yes—
545C22⋊C4×D43C2314yes—
546C22⋊C4×D43C2314yes—
547C22⋊C4×D43C2314yes—
548C22⋊C4×D43C2314yes—
549C22⋊C4×D43C2314yes—
550C22⋊C4×D43C2314yes—
551C22⋊C4×D43C2314yes—
552C22⋊C4×D43C2314yes—
553C22⋊C4×D43C2314yescomplemented
554C22⋊C4×D43C2314yescomplemented
555C22⋊C4×D43C2314yescomplemented
556C22⋊C4×D43C2314yescomplemented
557C2×C4×Dic43C2312yes—
558C2×C4×Dic43C2311yescharacteristic
559C2×C4×Dic43C2314yescomplemented
560C42×D43C2312yes—
561C42×D43C2312yes—
562C42×D43C2312yes—
563C42×D43C2312yes—
564C42×D43C2314yescomplemented
565C2×#41×C43C2312yes—
566C22×Q8×C43C2311yescharacteristic
567C22×D4×C43C2311yescharacteristic
568C22×D4×C43C2312yes—
569C4⋊Q8×C43C2312yescomplemented
570C4⋊Q8×C43C2312yescomplemented
571#126×C43C2314yescomplemented
572#126×C43C2314yescomplemented
573#126×C43C2314yescomplemented
574#125×C43C2312yescomplemented
575#124×C43C2311yescharacteristic
576#124×C43C2314yes—
577#124×C43C2311yescharacteristic
578#124×C43C2311yescharacteristic
579#124×C43C2311yescharacteristic
580#124×C43C2312yescomplemented
581#124×C43C2312yescomplemented
582#124×C43C2314yescomplemented
583#124×C43C2312yescomplemented
584#124×C43C2314yescomplemented
585#123×C43C2314yes—
586#123×C43C2312yes—
587#123×C43C2314yes—
588#123×C43C2312yes—
589#123×C43C2314yescomplemented
590#123×C43C2314yescomplemented
591#123×C43C2314yescomplemented
592C22⋊Q8×C43C2312yes—
593C22⋊Q8×C43C2314yescomplemented
594C22⋊Q8×C43C2314yescomplemented
595C22⋊Q8×C43C2314yescomplemented
596C22⋊Q8×C43C2314yescomplemented
597#121×C43C2312yes—
598#121×C43C2314yes—
599#121×C43C2314yes—
600#121×C43C2314yescomplemented
601#121×C43C2314yescomplemented
602#120×C43C2312yes—
603#120×C43C2314yes—
604#120×C43C2312yes—
605#120×C43C2314yescomplemented
606C4×Q8×C43C2312yescomplemented
607C4×D4×C43C2314yes—
608C4×D4×C43C2314yescomplemented
609C4×D4×C43C2312yescomplemented
610C4×D4×C43C2314yescomplemented
611#117×C43C2312yes—
612#117×C43C2314yescomplemented
613#117×C43C2314yescomplemented
614C2×C22⋊C4×C43C2312yes—
615C2×C22⋊C4×C43C2314yes—
616C2×C22⋊C4×C43C2314yescomplemented
617C2×C42×C43C2311yescharacteristic
618C24×C43C2412yes—
619C24×C43C2412yes—
620C23×D43—48no—
621C23×D43—44no—
622C23×D43C2411yescharacteristic
623C23×D43C2414yes—
624C23×D43C2414yes—
625C23×D43C2412yes—
626C23×D43C2412yes—
627C23×D43C2414yes—
628#41×C43—44no—
629C2×Q8×C43—42no—
630C2×Q8×C43C2412yes—
631C2×Q8×C43C2411yescharacteristic
632C2×Q8×C43C2412yes—
633C2×Q8×C43C2412yes—
634C2×Q8×C43C2411yescharacteristic
635C2×D4×C43—42no—
636C2×D4×C43—44no—
637C2×D4×C43C2414yes—
638C2×D4×C43C2414yes—
639C2×D4×C43C2414yes—
640C2×D4×C43C2412yes—
641C2×D4×C43C2411yescharacteristic
642C2×D4×C43C2412yes—
643C2×D4×C43C2412yes—
644C2×D4×C43C2411yescharacteristic
645C2×D4×C43C2414yes—
646C22×C4×C43C2411yescharacteristic
647C22×C4×C43C2412yes—
648C22×C4×C43C2412yes—
649C22×C4×C43C2414yes—
650C22×C4×C43C2414yes—
651C22×C4×C43C2414yes—
652C22×C4×C43C2412yes—
653C2×C22⋊D43—28no—
654C2×C22⋊D43—48no—
655C2×C22⋊D43—44no—
656C2×C22⋊D43—48no—
657C2×C22⋊D43C2414yes—
658C2×C22⋊D43C2414yes—
659C2×C22⋊D43C2414yes—
660C2×C22⋊D43C2414yes—
661C2×C22⋊D43C2414yes—
662C2×C22⋊D43C2414yes—
663C2×C22⋊D43C2414yes—
664C2×C22⋊D43C2414yes—
665C2×C22⋊D43C2414yes—
666C2×C22⋊D43C2414yes—
667C2×C22⋊D43C2414yes—
668C2×C22⋊D43C2414yes—
669C2×C22⋊D43C2414yes—
670C2×C22⋊D43C2414yes—
671C22×Dic43C2414yes—
672C22×Dic43C2412yes—
673C22×Dic43C2412yes—
674C22×Dic43C2414yes—
675C22×Dic43C2412yes—
676C22×Dic43C2414yes—
677C22×Dic43C2414yes—
678C22×Dic43C2411yescharacteristic
679#10621902—44no—
680Q8×D43—44no—
681Q8×D43—48no—
682Q8×D43—44no—
683Q8×D43—48no—
684#10621900—216no—
685#10621900—48no—
686#10621900—48no—
687#10621900—44no—
688#10621900—48no—
689D4×D43—48no—
690D4×D43—48no—
691D4×D43—48no—
692D4×D43—44no—
693D4×D43—48no—
694D4×D43—44no—
695D4×D43—48no—
696#10621898—48no—
697#10621898—48no—
698#10621898—48no—
699#10621898—44no—
700C2×D172—42no—
701C2×D172—48no—
702C2×D172C2414yes—
703C2×D172C2414yes—
704C2×D172C2414yes—
705C2×D172C2412yes—
706C2×D172C2414yes—
707C2×D172C2412yes—
708C2×D172C2412yes—
709C2×D172C2414yes—
710C2×D172C2412yes—
711C2×C4×D43—24no—
712C2×C4×D43—44no—
713C2×C4×D43—44no—
714C2×C4×D43C2412yes—
715C2×C4×D43C2412yes—
716C2×C4×D43C2412yes—
717C2×C4×D43C2412yes—
718C2×C4×D43C2414yes—
719C2×C4×D43C2412yes—
720C2×C4×D43C2412yes—
721C2×C4×D43C2414yes—
722C2×C4×D43C2414yes—
723C2×C4×D43C2414yes—
724C2×C4×D43C2414yes—
725C2×C4×D43C2414yes—
726C2×C4×D43C2414yes—
727C2×C4×D43C2414yes—
728C2×C4×D43C2414yes—
729C2×C4×D43C2414yes—
730C2×Dic86—28no—
731C2×Dic86—48no—
732C2×Dic86—42no—
733C2×Dic86C2414yes—
734C2×Dic86C2414yes—
735C2×Dic86C2414yes—
736C2×Dic86C2414yes—
737C2×Dic86C2412yes—
738C2×Dic86C2412yes—
739C2×Dic86C2412yes—
740C2×Dic86C2412yes—
741C2×Dic86C2414yes—
742C4⋊C4×C43C2414yes—
743C4⋊C4×C43C2414yes—
744C4⋊C4×C43C2414yes—
745C4⋊C4×C43C2414yes—
746C4⋊C4×C43C2414yes—
747C4⋊C4×C43C2412yes—
748C4⋊C4×C43C2414yes—
749C4⋊C4×C43C2412yes—
750C4⋊C4×C43C2414yes—
751C22⋊C4×C43C2414yes—
752C22⋊C4×C43C2414yes—
753C22⋊C4×C43C2414yes—
754C22⋊C4×C43C2412yes—
755C22⋊C4×C43C2412yes—
756C22⋊C4×C43C2414yes—
757C22⋊C4×C43C2414yes—
758C22⋊C4×C43C2414yes—
759C22⋊C4×C43C2414yes—
760C22⋊C4×C43C2414yes—
761C22⋊C4×C43C2414yes—
762C22⋊C4×C43C2414yes—
763C22⋊C4×C43C2414yes—
764C22⋊C4×C43C2414yes—
765C22⋊C4×C43C2414yes—
766C42×C43C2411yescharacteristic
767C42×C43C2412yes—
768C42×C43C2411yescharacteristic
769C42×C43C2412yes—
770C42×C43C2412yes—
771C42×C43C2414yes—
772C22⋊Dic43C2414yes—
773C22⋊Dic43C2414yes—
774C22⋊Dic43C2414yes—
775C22⋊Dic43C2414yes—
776C22⋊Dic43C2414yes—
777C22⋊Dic43C2414yes—
778C22⋊Dic43C2414yes—
779C22⋊Dic43C2414yes—
780C22⋊Dic43C2414yes—
781C22⋊Dic43C2412yes—
782C22⋊Dic43C2412yes—
783C22⋊Dic43C2414yes—
784C22⋊Dic43C2414yes—
785(C2×D43)⋊C4C2414yes—
786(C2×D43)⋊C4C2414yes—
787(C2×D43)⋊C4C2414yes—
788(C2×D43)⋊C4C2414yes—
789(C2×D43)⋊C4C2414yes—
790(C2×D43)⋊C4C2414yes—
791(C2×D43)⋊C4C2414yes—
792(C2×D43)⋊C4C2414yes—
793(C2×D43)⋊C4C2414yes—
794(C2×D43)⋊C4C2414yes—
795(C2×D43)⋊C4C2414yes—
796(C2×D43)⋊C4C2414yes—
797(C2×D43)⋊C4C2414yes—
798(C2×D43)⋊C4C2414yes—
799(C2×D43)⋊C4C2414yes—
800(C2×D43)⋊C4C2414yes—
801(C2×D43)⋊C4C2414yes—
802(C2×D43)⋊C4C2414yes—
803(C2×D43)⋊C4C2414yes—
804(C2×D43)⋊C4C2414yes—
805(C2×D43)⋊C4C2414yes—
806(C2×D43)⋊C4C2414yes—
807(C2×D43)⋊C4C2414yes—
808(C2×D43)⋊C4C2414yes—
809(C2×D43)⋊C4C2414yes—
810(C2×D43)⋊C4C2414yes—
811(C2×D43)⋊C4C2414yes—
812(C2×D43)⋊C4C2414yes—
813C4⋊Dic43C2412yes—
814C4⋊Dic43C2412yes—
815C4⋊Dic43C2414yes—
816C4⋊Dic43C2414yes—
817C4⋊Dic43C2414yes—
818C4⋊Dic43C2414yes—
819C4⋊Dic43C2414yes—
820Dic43⋊C4C2414yes—
821Dic43⋊C4C2414yes—
822Dic43⋊C4C2414yes—
823Dic43⋊C4C2414yes—
824Dic43⋊C4C2414yes—
825Dic43⋊C4C2414yes—
826Dic43⋊C4C2414yes—
827Dic43⋊C4C2414yes—
828Dic43⋊C4C2414yes—
829Dic43⋊C4C2414yes—
830Dic43⋊C4C2414yes—
831Dic43⋊C4C2414yes—
832Dic43⋊C4C2414yes—
833Dic43⋊C4C2414yes—
834Dic43⋊C4C2414yes—
835Dic43⋊C4C2414yes—
836C4×Dic43C2412yes—
837C4×Dic43C2411yescharacteristic
838C4×Dic43C2412yes—
839C4×Dic43C2412yes—
840C4×Dic43C2412yes—
841C4×Dic43C2412yes—
842C4×Dic43C2411yescharacteristic
843C4×Dic43C2414yes—
844C4×Dic43C2414yes—
845C4×Dic43C2414yes—
846C4×Dic43C2414yes—
847C4×Dic43C2414yes—
848C4×Dic43C2414yes—
849C4×Dic43C2414yes—
850C4×Dic43C2412yes—
851C4×Dic43C2412yes—
852C23×C43—24no—
853C23×C43—44no—
854C23×C43—42no—
855C23×C43—44no—
856C23×C43C2512yes—
857C23×C43C2512yes—
858C23×C43C2514yes—
859C23×C43C2511yescharacteristic
860C22×D43—22no—
861C22×D43—24no—
862C22×D43—24no—
863C22×D43—28no—
864C22×D43—28no—
865C22×D43—44no—
866C22×D43—44no—
867C22×D43—44no—
868C22×D43—44no—
869C22×D43—44no—
870C22×D43—44no—
871C22×D43—44no—
872C22×D43—42no—
873C22×D43—44no—
874C22×D43—44no—
875C22×D43—816no—
876C22×D43C2514yes—
877C22×D43C2514yes—
878C22×D43C2512yes—
879Q8×C43—41no—
880Q8×C43—42no—
881Q8×C43—41no—
882Q8×C43—42no—
883Q8×C43—42no—
884D4×C43—28no—
885D4×C43—41no—
886D4×C43—42no—
887D4×C43—41no—
888D4×C43—44no—
889D4×C43—44no—
890D4×C43—44no—
891D4×C43—42no—
892D4×C43—42no—
893C2×C4×C43—24no—
894C2×C4×C43—22no—
895C2×C4×C43—44no—
896C2×C4×C43—42no—
897C2×C4×C43—44no—
898C2×C4×C43—42no—
899C2×C4×C43—44no—
900C2×C4×C43C2512yes—
901C2×C4×C43C2514yes—
902C2×C4×C43C2514yes—
903C2×C4×C43C2511yescharacteristic
904C2×C4×C43C2511yescharacteristic
905C2×C4×C43C2512yes—
906C2×C4×C43C2512yes—
907C2×C4×C43C2514yes—
908C2×C4×C43C2512yes—
909C22⋊D43—28no—
910C22⋊D43—28no—
911C22⋊D43—28no—
912C22⋊D43—28no—
913C22⋊D43—28no—
914C22⋊D43—28no—
915C22⋊D43—44no—
916C22⋊D43—44no—
917C22⋊D43—44no—
918C22⋊D43—44no—
919C22⋊D43—44no—
920C22⋊D43—44no—
921C22⋊D43—44no—
922C22⋊D43—44no—
923C2×Dic43—24no—
924C2×Dic43—28no—
925C2×Dic43—44no—
926C2×Dic43—42no—
927C2×Dic43—42no—
928C2×Dic43—44no—
929C2×Dic43—44no—
930C2×Dic43H(5,𝔽2)14yes—
931C2×Dic43C2512yes—
932C2×Dic43C2514yes—
933C2×Dic43C2514yes—
934C2×Dic43C2512yes—
935C2×Dic43C2514yes—
936C2×Dic43C2514yes—
937C2×Dic43C2512yes—
938D172—28no—
939D172—28no—
940D172—44no—
941D172—44no—
942D172—42no—
943D172—42no—
944D172—42no—
945D172—44no—
946D172—42no—
947C4×D43—24no—
948C4×D43—24no—
949C4×D43—24no—
950C4×D43—24no—
951C4×D43—28no—
952C4×D43—42no—
953C4×D43—42no—
954C4×D43—44no—
955C4×D43—44no—
956C4×D43—44no—
957C4×D43—44no—
958C4×D43—44no—
959C4×D43—44no—
960C4×D43—44no—
961C4×D43—44no—
962C4×D43—44no—
963Dic86—28no—
964Dic86—28no—
965Dic86—28no—
966Dic86—42no—
967Dic86—44no—
968Dic86—42no—
969Dic86—42no—
970Dic86—44no—
971Dic86—42no—
972#62824—431nomaximal, Sylow
973C22×C43—22no—
974C22×C43—22no—
975C22×C43—22no—
976C22×C43—24no—
977C22×C43—24no—
978C22×C43—24no—
979C22×C43—24no—
980C22×C43—24no—
981C22×C43—84no—
982C22×C43—162no—
983C22×C43C2×H(5,𝔽2)12yes—
984C22×C43C2611yescharacteristic
985C2×D43—28no—
986C2×D43—22no—
987C2×D43—22no—
988C2×D43—24no—
989C2×D43—24no—
990C2×D43—24no—
991C2×D43—24no—
992C2×D43—24no—
993C2×D43—24no—
994C2×D43—88no—
995C2×D43—88no—
996C2×D43—84no—
997C2×D43—164no—
998C2×D43—162no—
999C2×D43#58514yes—
1000C4×C43—22no—
1001C4×C43—22no—
1002C4×C43—24no—
1003C4×C43—21no—
1004C4×C43—21no—
1005C4×C43—22no—
1006C4×C43—24no—
1007C4×C43—22no—
1008C4×C43—24no—
1009Dic43—24no—
1010Dic43—24no—
1011Dic43—22no—
1012Dic43—24no—
1013Dic43—24no—
1014Dic43—22no—
1015Dic43C2×H(5,𝔽2)14yes—
1016#3561—432no—
1017#3561—432no—
1018#3561—434no—
1019#3558—432no—
1020#3558—432no—
1021#3558—434no—
1022#3545—432no—
1023#3545—432no—
1024#3545—432no—
1025#3545—431no—
1026#3545D4311yescharacteristic, complemented
1027#3514—434no—
1028#3514—434no—
1029#3514—434no—
1030#3514—434no—
1031#3510—434no—
1032#3500—434no—
1033#3490—434no—
1034#3490—434no—
1035#3486—432no—
1036#3484—432no—
1037#3444—432no—
1038C22×#124—431no—
1039C2×C43—22no—
1040C2×C43—42no—
1041C2×C43—42no—
1042C2×C43—44no—
1043C2×C43C22×H(5,𝔽2)11yescharacteristic
1044C2×C43C2×#58512yes—
1045D43—24no—
1046D43—44no—
1047D43—44no—
1048C2×2−1+4—432no—
1049C2×H(5,𝔽2)—432no—
1050C23×Q8—431no—
1051C23×D4—431no—
1052#563—432no—
1053#563—432no—
1054#563—431no—
1055#563—432no—
1056#563C2×D4311yescharacteristic, complemented
1057#562—432no—
1058#562—432no—
1059#562—432no—
1060#562—434no—
1061#562—434no—
1062#562C2×D4312yescomplemented
1063H(3,𝔽4)—431no—
1064H(3,𝔽4)—432no—
1065H(3,𝔽4)—432no—
1066H(3,𝔽4)—432no—
1067H(3,𝔽4)C2×D4311yescharacteristic, complemented
1068#559—434no—
1069#559—434no—
1070#559—434no—
1071#559—434no—
1072#556—434no—
1073#556—434no—
1074#556—434no—
1075#556—434no—
1076#555—432no—
1077#555—432no—
1078#555—432no—
1079#555—434no—
1080#555—434no—
1081#555C2×D4312yescomplemented
1082#551—434no—
1083#551—434no—
1084#551—432no—
1085#551—434no—
1086#551—434no—
1087#551—432no—
1088#551—434no—
1089#551—434no—
1090#551—434no—
1091#551—434no—
1092#551—434no—
1093#551—434no—
1094#551—432no—
1095#551—434no—
1096#551—434no—
1097#551—434no—
1098#551—434no—
1099#551—434no—
1100#551—434no—
1101#551—434no—
1102#551C2×D4314yescomplemented
1103#551C2×D4312yescomplemented
1104D4×Q8—434no—
1105D4×Q8—434no—
1106D4×Q8—434no—
1107D4×Q8—434no—
1108#548—434no—
1109#548—434no—
1110#548—434no—
1111#548—434no—
1112#548—434no—
1113#548—434no—
1114#548—434no—
1115#548—434no—
1116#546—434no—
1117#546—434no—
1118#546—434no—
1119#546—434no—
1120#546—434no—
1121#546—434no—
1122#546—434no—
1123#546—434no—
1124#546—434no—
1125#546—434no—
1126#546—434no—
1127#546—434no—
1128#546—434no—
1129#546—434no—
1130#546—434no—
1131#546—434no—
1132#546—434no—
1133#546—434no—
1134#546—434no—
1135#546—434no—
1136#546—434no—
1137#546—434no—
1138#546—434no—
1139#546C2×D4314yescomplemented
1140D42—434no—
1141D42—434no—
1142D42—434no—
1143D42—434no—
1144#543—434no—
1145#543—434no—
1146#542—434no—
1147#542—434no—
1148#542—434no—
1149#542—434no—
1150#542—434no—
1151#542—434no—
1152#542—434no—
1153#542—434no—
1154#542—434no—
1155#542—434no—
1156#542—434no—
1157#542C2×D4314yescomplemented
1158#538—434no—
1159#538—434no—
1160#538—434no—
1161#538—434no—
1162#538—434no—
1163#538—434no—
1164#538—434no—
1165#538—434no—
1166#538—434no—
1167#538—434no—
1168#538—434no—
1169#538—434no—
1170#538—434no—
1171#538—434no—
1172#538—434no—
1173#538C2×D4314yescomplemented
1174#536—432no—
1175#536—434no—
1176#536—434no—
1177#536—434no—
1178#536—434no—
1179#536C2×D4312yescomplemented
1180#535—434no—
1181#535—434no—
1182#535—434no—
1183#534—432no—
1184#534—434no—
1185#534—434no—
1186#534—434no—
1187#534C2×D4312yescomplemented
1188#533—432no—
1189#533—432no—
1190#533—432no—
1191#532—432no—
1192#532—432no—
1193#532—434no—
1194#532—432no—
1195#532—434no—
1196#529—434no—
1197#529—434no—
1198#529—434no—
1199#529—432no—
1200#529—432no—
1201#529—434no—
1202#529—434no—
1203#529—434no—
1204#529—434no—
1205#529—434no—
1206#529—432no—
1207#529C2×D4312yescomplemented
1208C2×#124—431no—
1209C2×#124—431no—
1210C2×#124—432no—
1211C2×#124—432no—
1212C2×#124—434no—
1213C2×#124—432no—
1214C2×#124—432no—
1215C2×#124—434no—
1216C2×#124—434no—
1217C2×#124—434no—
1218C2×#124—434no—
1219C2×#124—431no—
1220C2×#124C2×D4311yescharacteristic, complemented
1221#525—432no—
1222#525—434no—
1223#525—434no—
1224#525—432no—
1225#525—432no—
1226#525—434no—
1227#525—432no—
1228C2×#120—432no—
1229C2×#120—434no—
1230C2×#120—432no—
1231#519—432no—
1232#518—434no—
1233#518—434no—
1234#518—434no—
1235#518—432no—
1236#518—434no—
1237C4×#41—432no—
1238C4×#41—434no—
1239C4×#41—432no—
1240C4×#41—434no—
1241C22×C22⋊C4—434no—
1242C22×C42—431no—
1243C43#6282411yescharacteristic, complemented, Sylow
1244C25—432no—
12452−1+4—1728no—
1246H(5,𝔽2)—1728no—
1247C2×#41—432no—
1248C2×#41—434no—
1249C2×#41—432no—
1250C2×#41—434no—
1251C2×#41—434no—
1252C2×#41—434no—
1253C2×#41—434no—
1254C2×#41—432no—
1255C2×#41—434no—
1256C2×#41—434no—
1257C2×#41C22×D4312yes—
1258C22×Q8—432no—
1259C22×Q8—434no—
1260C22×Q8—432no—
1261C22×Q8—434no—
1262C22×Q8—432no—
1263C22×Q8—431no—
1264C22×Q8—434no—
1265C22×Q8—1724no—
1266C22×Q8C22×D4311yescharacteristic
1267C22×D4—432no—
1268C22×D4—434no—
1269C22×D4—432no—
1270C22×D4—434no—
1271C22×D4—434no—
1272C22×D4—434no—
1273C22×D4—434no—
1274C22×D4—432no—
1275C22×D4—434no—
1276C22×D4—432no—
1277C22×D4—434no—
1278C22×D4—434no—
1279C22×D4—431no—
1280C22×D4—1724no—
1281C22×D4C22×D4312yes—
1282C22×D4C22×D4311yescharacteristic
1283C23×C4—431no—
1284C23×C4—432no—
1285C23×C4—432no—
1286C4⋊Q8—432no—
1287C4⋊Q8—432no—
1288C4⋊Q8—432no—
1289C4⋊Q8—432no—
1290C4⋊Q8—432no—
1291C4⋊Q8—434no—
1292C4⋊Q8—434no—
1293C4⋊Q8—434no—
1294C4⋊Q8—434no—
1295C4⋊Q8C22×D4312yescomplemented
1296C4⋊Q8C22×D4312yescomplemented
1297#127—432no—
1298#127—434no—
1299#127—434no—
1300#126—434no—
1301#126—434no—
1302#126—434no—
1303#126—434no—
1304#126—434no—
1305#126—434no—
1306#126—434no—
1307#126—434no—
1308#126—434no—
1309#126—434no—
1310#126—434no—
1311#126—434no—
1312#126—434no—
1313#126—434no—
1314#126—434no—
1315#126—434no—
1316#126—434no—
1317#126C22×D4314yescomplemented
1318#126C22×D4314yescomplemented
1319#126C22×D4314yescomplemented
1320#125—434no—
1321#125—434no—
1322#125—432no—
1323#125C22×D4312yescomplemented
1324#124—432no—
1325#124—432no—
1326#124—432no—
1327#124—432no—
1328#124—434no—
1329#124—432no—
1330#124—432no—
1331#124—434no—
1332#124—432no—
1333#124—432no—
1334#124—432no—
1335#124—432no—
1336#124—434no—
1337#124—434no—
1338#124—434no—
1339#124—434no—
1340#124—434no—
1341#124—434no—
1342#124—434no—
1343#124—434no—
1344#124—434no—
1345#124—434no—
1346#124—434no—
1347#124—434no—
1348#124—434no—
1349#124—434no—
1350#124—434no—
1351#124—434no—
1352#124—434no—
1353#124—434no—
1354#124—434no—
1355#124—434no—
1356#124—434no—
1357#124—434no—
1358#124—434no—
1359#124—434no—
1360#124—434no—
1361#124—434no—
1362#124—434no—
1363#124—432no—
1364#124—432no—
1365#124—434no—
1366#124—432no—
1367#124—434no—
1368#124C22×D4314yes—
1369#124C22×D4311yescharacteristic
1370#124C22×D4311yescharacteristic
1371#124C22×D4311yescharacteristic
1372#124C22×D4311yescharacteristic
1373#124C22×D4314yescomplemented
1374#124C22×D4312yescomplemented
1375#124C22×D4312yescomplemented
1376#124C22×D4312yescomplemented
1377#124C22×D4314yescomplemented
1378#123—434no—
1379#123—434no—
1380#123—434no—
1381#123—432no—
1382#123—432no—
1383#123—434no—
1384#123—434no—
1385#123—434no—
1386#123—434no—
1387#123—434no—
1388#123—434no—
1389#123—434no—
1390#123—434no—
1391#123—434no—
1392#123—434no—
1393#123—434no—
1394#123—434no—
1395#123—434no—
1396#123—434no—
1397#123—434no—
1398#123—434no—
1399#123—434no—
1400#123—434no—
1401#123—434no—
1402#123—434no—
1403#123—434no—
1404#123—434no—
1405#123—434no—
1406#123—434no—
1407#123—434no—
1408#123—434no—
1409#123—434no—
1410#123—434no—
1411#123C22×D4314yes—
1412#123C22×D4314yes—
1413#123C22×D4312yes—
1414#123C22×D4312yes—
1415#123C22×D4314yescomplemented
1416#123C22×D4314yescomplemented
1417#123C22×D4314yescomplemented
1418C22⋊Q8—432no—
1419C22⋊Q8—434no—
1420C22⋊Q8—434no—
1421C22⋊Q8—434no—
1422C22⋊Q8—434no—
1423C22⋊Q8—434no—
1424C22⋊Q8—432no—
1425C22⋊Q8—434no—
1426C22⋊Q8—434no—
1427C22⋊Q8—434no—
1428C22⋊Q8—432no—
1429C22⋊Q8—434no—
1430C22⋊Q8—434no—
1431C22⋊Q8—434no—
1432C22⋊Q8—434no—
1433C22⋊Q8—434no—
1434C22⋊Q8—434no—
1435C22⋊Q8—434no—
1436C22⋊Q8—434no—
1437C22⋊Q8—434no—
1438C22⋊Q8—434no—
1439C22⋊Q8—434no—
1440C22⋊Q8—434no—
1441C22⋊Q8—434no—
1442C22⋊Q8—434no—
1443C22⋊Q8—434no—
1444C22⋊Q8—434no—
1445C22⋊Q8—434no—
1446C22⋊Q8—434no—
1447C22⋊Q8—434no—
1448C22⋊Q8—434no—
1449C22⋊Q8—434no—
1450C22⋊Q8—434no—
1451C22⋊Q8—434no—
1452C22⋊Q8—434no—
1453C22⋊Q8C22×D4312yes—
1454C22⋊Q8C22×D4314yescomplemented
1455C22⋊Q8C22×D4314yescomplemented
1456C22⋊Q8C22×D4314yescomplemented
1457C22⋊Q8C22×D4314yescomplemented
1458#121—432no—
1459#121—434no—
1460#121—434no—
1461#121—434no—
1462#121—434no—
1463#121—434no—
1464#121—434no—
1465#121—434no—
1466#121—434no—
1467#121—434no—
1468#121—434no—
1469#121—434no—
1470#121—434no—
1471#121—432no—
1472#121—434no—
1473#121—434no—
1474#121—432no—
1475#121—434no—
1476#121—434no—
1477#121—434no—
1478#121—434no—
1479#121—434no—
1480#121—434no—
1481#121—434no—
1482#121—434no—
1483#121—434no—
1484#121—434no—
1485#121—434no—
1486#121—434no—
1487#121—434no—
1488#121—434no—
1489#121—434no—
1490#121—434no—
1491#121—434no—
1492#121—434no—
1493#121C22×D4312yes—
1494#121C22×D4314yes—
1495#121C22×D4314yes—
1496#121C22×D4314yescomplemented
1497#121C22×D4314yescomplemented
1498#120—434no—
1499#120—434no—
1500#120—434no—
1501#120—434no—
1502#120—434no—
1503#120—434no—
1504#120—434no—
1505#120—434no—
1506#120—434no—
1507#120—434no—
1508#120—434no—
1509#120—432no—
1510#120—432no—
1511#120—434no—
1512#120—434no—
1513#120—434no—
1514#120—434no—
1515#120—434no—
1516#120—434no—
1517#120—434no—
1518#120—434no—
1519#120—434no—
1520#120—434no—
1521#120—434no—
1522#120C22×D4314yes—
1523#120C22×D4312yes—
1524#120C22×D4312yes—
1525#120C22×D4314yescomplemented
1526C4×Q8—432no—
1527C4×Q8—434no—
1528C4×Q8—434no—
1529C4×Q8—432no—
1530C4×Q8—434no—
1531C4×Q8—434no—
1532C4×Q8—434no—
1533C4×Q8—432no—
1534C4×Q8—434no—
1535C4×Q8—434no—
1536C4×Q8—434no—
1537C4×Q8C22×D4312yescomplemented
1538C4×D4—434no—
1539C4×D4—432no—
1540C4×D4—434no—
1541C4×D4—434no—
1542C4×D4—434no—
1543C4×D4—434no—
1544C4×D4—434no—
1545C4×D4—434no—
1546C4×D4—434no—
1547C4×D4—434no—
1548C4×D4—434no—
1549C4×D4—434no—
1550C4×D4—434no—
1551C4×D4—434no—
1552C4×D4—434no—
1553C4×D4—434no—
1554C4×D4—434no—
1555C4×D4—434no—
1556C4×D4—432no—
1557C4×D4—434no—
1558C4×D4—434no—
1559C4×D4—434no—
1560C4×D4—434no—
1561C4×D4—434no—
1562C4×D4—434no—
1563C4×D4—434no—
1564C4×D4—434no—
1565C4×D4—434no—
1566C4×D4—434no—
1567C4×D4—434no—
1568C4×D4—434no—
1569C4×D4—434no—
1570C4×D4—434no—
1571C4×D4—434no—
1572C4×D4—434no—
1573C4×D4—434no—
1574C4×D4—434no—
1575C4×D4—434no—
1576C4×D4—434no—
1577C4×D4—432no—
1578C4×D4—434no—
1579C4×D4—434no—
1580C4×D4—434no—
1581C4×D4—434no—
1582C4×D4C22×D4314yes—
1583C4×D4C22×D4312yescomplemented
1584C4×D4C22×D4314yescomplemented
1585C4×D4C22×D4314yescomplemented
1586#117—434no—
1587#117—432no—
1588#117—432no—
1589#117—432no—
1590#117—434no—
1591#117—434no—
1592#117—434no—
1593#117—434no—
1594#117—434no—
1595#117—434no—
1596#117—434no—
1597#117—434no—
1598#117—434no—
1599#117—434no—
1600#117—434no—
1601#117—434no—
1602#117—434no—
1603#117—434no—
1604#117C22×D4312yes—
1605#117C22×D4314yescomplemented
1606#117C22×D4314yescomplemented
1607C2×C22⋊C4—434no—
1608C2×C22⋊C4—432no—
1609C2×C22⋊C4—434no—
1610C2×C22⋊C4—434no—
1611C2×C22⋊C4—434no—
1612C2×C22⋊C4—434no—
1613C2×C22⋊C4—434no—
1614C2×C22⋊C4—434no—
1615C2×C22⋊C4—434no—
1616C2×C22⋊C4—434no—
1617C2×C22⋊C4—434no—
1618C2×C22⋊C4—434no—
1619C2×C22⋊C4—434no—
1620C2×C22⋊C4—434no—
1621C2×C22⋊C4—434no—
1622C2×C22⋊C4—434no—
1623C2×C22⋊C4—434no—
1624C2×C22⋊C4—434no—
1625C2×C22⋊C4—434no—
1626C2×C22⋊C4—434no—
1627C2×C22⋊C4—434no—
1628C2×C22⋊C4—434no—
1629C2×C22⋊C4—434no—
1630C2×C22⋊C4—434no—
1631C2×C22⋊C4C22×D4314yes—
1632C2×C22⋊C4C22×D4312yes—
1633C2×C22⋊C4C22×D4314yescomplemented
1634C2×C42—434no—
1635C2×C42—432no—
1636C2×C42—431no—
1637C2×C42—434no—
1638C2×C42—432no—
1639C2×C42—432no—
1640C2×C42—432no—
1641C2×C42—432no—
1642C2×C42C22×D4311yescharacteristic
1643C24—431no—
1644C24—434no—
1645C24—434no—
1646C24—432no—
1647C24—434no—
1648C24—432no—
1649C24—1724no—
1650C24—1728no—
1651C24C23×D4312yes—
1652C24C23×D4312yes—
1653#41—44no—
1654#41—8616no—
1655#41—1724no—
1656#41—1728no—
1657#41—1728no—
1658#41—1728no—
1659#41—1728no—
1660#41—1724no—
1661#41—1728no—
1662#41—1728no—
1663#41—1724no—
1664C2×Q8—42no—
1665C2×Q8—434no—
1666C2×Q8—434no—
1667C2×Q8—434no—
1668C2×Q8—434no—
1669C2×Q8—432no—
1670C2×Q8—434no—
1671C2×Q8—432no—
1672C2×Q8—432no—
1673C2×Q8—432no—
1674C2×Q8—868no—
1675C2×Q8—1722no—
1676C2×Q8—1728no—
1677C2×Q8—1724no—
1678C2×Q8—1728no—
1679C2×Q8—1724no—
1680C2×Q8—1728no—
1681C2×Q8C23×D4312yes—
1682C2×Q8C23×D4312yes—
1683C2×Q8C23×D4311yescharacteristic
1684C2×Q8C23×D4312yes—
1685C2×Q8C23×D4311yescharacteristic
1686C2×D4—42no—
1687C2×D4—44no—
1688C2×D4—434no—
1689C2×D4—434no—
1690C2×D4—434no—
1691C2×D4—434no—
1692C2×D4—434no—
1693C2×D4—434no—
1694C2×D4—434no—
1695C2×D4—434no—
1696C2×D4—434no—
1697C2×D4—434no—
1698C2×D4—434no—
1699C2×D4—434no—
1700C2×D4—434no—
1701C2×D4—434no—
1702C2×D4—434no—
1703C2×D4—434no—
1704C2×D4—432no—
1705C2×D4—434no—
1706C2×D4—434no—
1707C2×D4—432no—
1708C2×D4—434no—
1709C2×D4—432no—
1710C2×D4—432no—
1711C2×D4—868no—
1712C2×D4—1722no—
1713C2×D4—1728no—
1714C2×D4—1724no—
1715C2×D4—1728no—
1716C2×D4—1724no—
1717C2×D4—1728no—
1718C2×D4—1728no—
1719C2×D4—1728no—
1720C2×D4—1728no—
1721C2×D4—1728no—
1722C2×D4—1724no—
1723C2×D4—1728no—
1724C2×D4C23×D4314yes—
1725C2×D4C23×D4314yes—
1726C2×D4C23×D4312yes—
1727C2×D4C23×D4314yes—
1728C2×D4C23×D4312yes—
1729C2×D4C23×D4314yes—
1730C2×D4C23×D4311yescharacteristic
1731C2×D4C23×D4312yes—
1732C2×D4C23×D4311yescharacteristic
1733C22×C4—431no—
1734C22×C4—434no—
1735C22×C4—432no—
1736C22×C4—432no—
1737C22×C4—434no—
1738C22×C4—434no—
1739C22×C4—434no—
1740C22×C4—432no—
1741C22×C4—432no—
1742C22×C4—432no—
1743C22×C4—432no—
1744C22×C4—432no—
1745C22×C4—434no—
1746C22×C4—432no—
1747C22×C4—432no—
1748C22×C4—434no—
1749C22×C4—434no—
1750C22×C4—434no—
1751C22×C4—434no—
1752C22×C4—434no—
1753C22×C4—434no—
1754C22×C4—434no—
1755C22×C4—434no—
1756C22×C4—434no—
1757C22×C4—864no—
1758C22×C4—1724no—
1759C22×C4—1724no—
1760C22×C4C23×D4311yescharacteristic
1761C22×C4C23×D4312yes—
1762C22×C4C23×D4312yes—
1763C22×C4C23×D4314yes—
1764C22×C4C23×D4312yes—
1765C22×C4C23×D4314yes—
1766C22×C4C23×D4314yes—
1767C4⋊C4—434no—
1768C4⋊C4—434no—
1769C4⋊C4—434no—
1770C4⋊C4—434no—
1771C4⋊C4—434no—
1772C4⋊C4—434no—
1773C4⋊C4—434no—
1774C4⋊C4—434no—
1775C4⋊C4—434no—
1776C4⋊C4—434no—
1777C4⋊C4—434no—
1778C4⋊C4—434no—
1779C4⋊C4—434no—
1780C4⋊C4—434no—
1781C4⋊C4—434no—
1782C4⋊C4—434no—
1783C4⋊C4—434no—
1784C4⋊C4—432no—
1785C4⋊C4—434no—
1786C4⋊C4—432no—
1787C4⋊C4—434no—
1788C4⋊C4—434no—
1789C4⋊C4—434no—
1790C4⋊C4C23×D4314yes—
1791C4⋊C4C23×D4314yes—
1792C4⋊C4C23×D4314yes—
1793C4⋊C4C23×D4312yes—
1794C4⋊C4C23×D4314yes—
1795C4⋊C4C23×D4312yes—
1796C4⋊C4C23×D4314yes—
1797C4⋊C4C23×D4314yes—
1798C4⋊C4C23×D4314yes—
1799C22⋊C4—434no—
1800C22⋊C4—434no—
1801C22⋊C4—434no—
1802C22⋊C4—434no—
1803C22⋊C4—434no—
1804C22⋊C4—434no—
1805C22⋊C4—434no—
1806C22⋊C4—434no—
1807C22⋊C4—432no—
1808C22⋊C4—432no—
1809C22⋊C4—434no—
1810C22⋊C4—434no—
1811C22⋊C4—434no—
1812C22⋊C4—434no—
1813C22⋊C4—434no—
1814C22⋊C4—434no—
1815C22⋊C4—434no—
1816C22⋊C4—434no—
1817C22⋊C4—434no—
1818C22⋊C4—434no—
1819C22⋊C4—434no—
1820C22⋊C4—434no—
1821C22⋊C4—434no—
1822C22⋊C4—434no—
1823C22⋊C4—434no—
1824C22⋊C4—434no—
1825C22⋊C4—434no—
1826C22⋊C4—434no—
1827C22⋊C4—434no—
1828C22⋊C4—434no—
1829C22⋊C4—434no—
1830C22⋊C4—434no—
1831C22⋊C4—434no—
1832C22⋊C4—434no—
1833C22⋊C4—434no—
1834C22⋊C4—434no—
1835C22⋊C4—434no—
1836C22⋊C4—434no—
1837C22⋊C4—434no—
1838C22⋊C4—434no—
1839C22⋊C4—434no—
1840C22⋊C4C23×D4314yes—
1841C22⋊C4C23×D4314yes—
1842C22⋊C4C23×D4314yes—
1843C22⋊C4C23×D4314yes—
1844C22⋊C4C23×D4314yes—
1845C22⋊C4C23×D4314yes—
1846C22⋊C4C23×D4314yes—
1847C22⋊C4C23×D4314yes—
1848C22⋊C4C23×D4314yes—
1849C22⋊C4C23×D4312yes—
1850C22⋊C4C23×D4312yes—
1851C22⋊C4C23×D4314yes—
1852C22⋊C4C23×D4314yes—
1853C22⋊C4C23×D4314yes—
1854C22⋊C4C23×D4314yes—
1855C42—432no—
1856C42—431no—
1857C42—432no—
1858C42—432no—
1859C42—432no—
1860C42—432no—
1861C42—431no—
1862C42—434no—
1863C42—434no—
1864C42—434no—
1865C42—434no—
1866C42—434no—
1867C42—432no—
1868C42—432no—
1869C42—434no—
1870C42—434no—
1871C42C23×D4311yescharacteristic
1872C42C23×D4312yes—
1873C42C23×D4311yescharacteristic
1874C42C23×D4314yes—
1875C42C23×D4312yes—
1876C42C23×D4312yes—
1877C23—24no—
1878C23—44no—
1879C23—42no—
1880C23—44no—
1881C23—432no—
1882C23—434no—
1883C23—434no—
1884C23—864no—
1885C23—868no—
1886C23—868no—
1887C23—862no—
1888C23—864no—
1889C23—34416no—
1890C23—1724no—
1891C23—1724no—
1892C23—1724no—
1893C23—1724no—
1894C23—1724no—
1895C23—1724no—
1896C23—1722no—
1897C23—1724no—
1898C23—1724no—
1899C23—1724no—
1900C23C24×D4312yes—
1901C23C24×D4312yes—
1902C23C24×D4314yes—
1903C23C24×D4311yescharacteristic
1904Q8—41no—
1905Q8—42no—
1906Q8—41no—
1907Q8—42no—
1908Q8—42no—
1909Q8—868no—
1910Q8—868no—
1911Q8—868no—
1912Q8—1722no—
1913Q8—1722no—
1914Q8—1722no—
1915Q8—1724no—
1916Q8—1724no—
1917Q8—1722no—
1918D4—28no—
1919D4—41no—
1920D4—42no—
1921D4—41no—
1922D4—44no—
1923D4—44no—
1924D4—44no—
1925D4—42no—
1926D4—42no—
1927D4—868no—
1928D4—868no—
1929D4—868no—
1930D4—868no—
1931D4—868no—
1932D4—868no—
1933D4—868no—
1934D4—868no—
1935D4—1722no—
1936D4—1722no—
1937D4—1724no—
1938D4—1724no—
1939D4—1724no—
1940D4—1722no—
1941D4—1722no—
1942D4—1724no—
1943D4—1724no—
1944D4—1724no—
1945D4—1724no—
1946D4—1724no—
1947D4—1724no—
1948D4—1724no—
1949D4—1724no—
1950C2×C4—22no—
1951C2×C4—24no—
1952C2×C4—42no—
1953C2×C4—42no—
1954C2×C4—44no—
1955C2×C4—44no—
1956C2×C4—44no—
1957C2×C4—434no—
1958C2×C4—432no—
1959C2×C4—432no—
1960C2×C4—432no—
1961C2×C4—434no—
1962C2×C4—434no—
1963C2×C4—434no—
1964C2×C4—434no—
1965C2×C4—864no—
1966C2×C4—864no—
1967C2×C4—868no—
1968C2×C4—864no—
1969C2×C4—864no—
1970C2×C4—868no—
1971C2×C4—864no—
1972C2×C4—1724no—
1973C2×C4—1724no—
1974C2×C4—1722no—
1975C2×C4—1722no—
1976C2×C4—1724no—
1977C2×C4—1724no—
1978C2×C4—1724no—
1979C2×C4—1724no—
1980C2×C4—1724no—
1981C2×C4—1724no—
1982C2×C4—1724no—
1983C2×C4—1722no—
1984C2×C4—1722no—
1985C2×C4—1724no—
1986C2×C4—1724no—
1987C2×C4—1724no—
1988C2×C4C24×D4312yes—
1989C2×C4C24×D4314yes—
1990C2×C4C24×D4312yes—
1991C2×C4C24×D4314yes—
1992C2×C4C24×D4311yescharacteristic
1993C2×C4C24×D4311yescharacteristic
1994C2×C4C24×D4312yes—
1995C2×C4C24×D4314yes—
1996C2×C4C24×D4312yes—
1997C22—22no—
1998C22—24no—
1999C22—22no—
2000C22—22no—
2001C22—24no—
2002C22—24no—
2003C22—24no—
2004C22—24no—
2005C22—84no—
2006C22—162no—
2007C22—434no—
2008C22—868no—
2009C22—862no—
2010C22—862no—
2011C22—864no—
2012C22—864no—
2013C22—864no—
2014C22—864no—
2015C22—864no—
2016C22—864no—
2017C22—3444no—
2018C22—3448no—
2019C22—3448no—
2020C22—6882no—
2021C22—6884no—
2022C22H(5,𝔽2)×D4312yes—
2023C22C25×D4311yescharacteristic
2024C4—22no—
2025C4—21no—
2026C4—21no—
2027C4—22no—
2028C4—24no—
2029C4—22no—
2030C4—24no—
2031C4—22no—
2032C4—24no—
2033C4—434no—
2034C4—864no—
2035C4—864no—
2036C4—862no—
2037C4—862no—
2038C4—864no—
2039C4—864no—
2040C2—22no—
2041C2—42no—
2042C2—42no—
2043C2—44no—
2044C2—864no—
2045C2—1724no—
2046C2—1724no—
2047C2C2×H(5,𝔽2)×D4311yescharacteristic
2048C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3545C2
hypercenter#3545D43
hypocenterC43#62824
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3545

Complements

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

NH ≅ G/Ntype
1. #19149163C2semidirect
2. #19149159C2semidirect
3. #19149157C2semidirect
4. #19149117C2semidirect
5. #19149108C2semidirect
6. #19149106C2semidirect
7. #19148952C2semidirect
8. #19148949C2semidirect
9. #19148947C2semidirect
10. #19148944C2semidirect
11. #19148554C2semidirect
12. #19148552C2semidirect
13. #19148548C2semidirect
14. #19148545C2semidirect
15. #19148483C2semidirect
16. #19148381C2semidirect
17. #19148279C2semidirect
18. #19148277C2semidirect
19. #19148244C2semidirect
20. #19148227C2semidirect
21. #19147889C2semidirect
22. C2×#124×D43C2semidirect
23. C43×#3545C2semidirect
24. C2×#13063372C22semidirect
25. C2×#13063370C22semidirect
26. C22×Q8×D43C22semidirect
28. #14583653C22semidirect
29. #14583652C22semidirect
30. #14583649C22semidirect
31. #14583648C22semidirect
32. #14583647C22semidirect
33. #14583645C22semidirect
34. #14583644C22semidirect
35. #14583643C22semidirect
36. #14583643C22semidirect
37. #14583642C22semidirect
38. #14583641C22semidirect
39. #14583641C22semidirect
40. #14583641C22semidirect
41. #14583633C22semidirect
42. #14583633C22semidirect
43. #14583632C22semidirect
44. #14583631C22semidirect
45. #14583620C22semidirect
46. #14583617C22semidirect
47. #14583616C22semidirect
48. #14583616C22semidirect
49. #14583615C22semidirect
50. #14583613C22semidirect
51. #14583612C22semidirect
52. #14583611C22semidirect
53. #14583611C22semidirect
54. #14583580C22semidirect
55. #14583580C22semidirect
56. #14583579C22semidirect
57. #14583579C22semidirect
58. #14583578C22semidirect
59. #14583578C22semidirect
60. #14583577C22semidirect
61. #14583577C22semidirect
62. #14583576C22semidirect
63. #14583576C22semidirect
64. #14583576C22semidirect
65. #14583575C22semidirect
66. #14583575C22semidirect
67. #14583574C22semidirect
68. #14583574C22semidirect
69. #14583573C22semidirect
70. #14583573C22semidirect
71. #14583573C22semidirect
72. #14583572C22semidirect
73. #14583572C22semidirect
74. #14583564C22semidirect
75. #14583564C22semidirect
76. #14583562C22semidirect
77. #14583562C22semidirect
78. #14583559C22semidirect
79. #14583559C22semidirect
80. #14583559C22semidirect
81. #14583558C22semidirect
82. #14583557C22semidirect
83. #14583557C22semidirect
84. #14583557C22semidirect
85. #14583555C22semidirect
86. #14583546C22semidirect
87. #14583545C22semidirect
88. #14583544C22semidirect
89. #14583543C22semidirect
90. #14583542C22semidirect
91. #14583541C22semidirect
92. #14583541C22semidirect
93. #14583541C22semidirect
94. #14583541C22semidirect
95. #14583541C22semidirect
96. #14583540C22semidirect
97. #14583539C22semidirect
98. #14583539C22semidirect
99. #14583539C22semidirect
100. #14583538C22semidirect
101. #14583538C22semidirect
102. #14583538C22semidirect
103. #14583538C22semidirect
104. #14583538C22semidirect
105. #14583537C22semidirect
106. #14583536C22semidirect
107. #14583536C22semidirect
108. #14583536C22semidirect
109. #14583533C22semidirect
110. #14583533C22semidirect
111. #14583531C22semidirect
112. #14583531C22semidirect
113. #14583524C22semidirect
114. #14583524C22semidirect
115. #14583523C22semidirect
116. #14583521C22semidirect
117. #14583519C22semidirect
118. #14583519C22semidirect
119. #14583517C22semidirect
120. #14583517C22semidirect
121. #14583516C22semidirect
122. #14583515C22semidirect
123. #14583515C22semidirect
124. #14583513C22semidirect
125. #14583513C22semidirect
126. #14583489C22semidirect
127. #14583488C22semidirect
128. #14583488C22semidirect
129. #14583488C22semidirect
130. #14583485C22semidirect
131. #14583485C22semidirect
132. #14583484C22semidirect
133. #14583483C22semidirect
134. #14583483C22semidirect
135. #14583483C22semidirect
136. #14583483C22semidirect
137. #14583482C22semidirect
138. #14583481C22semidirect
139. #14583481C22semidirect
140. #14583481C22semidirect
141. #14583473C22semidirect
142. #14583472C22semidirect
143. #14583471C22semidirect
144. #14583471C22semidirect
145. #14583471C22semidirect
146. #14583465C22semidirect
148. #14583464C22semidirect
149. #14583460C22semidirect
150. #14583460C22semidirect
151. #14583459C22semidirect
152. #14583458C22semidirect
153. #14583455C22semidirect
154. #14583453C22semidirect
155. #14583451C22semidirect
156. #14583448C22semidirect
157. #14583446C22semidirect
158. #14583446C22semidirect
159. #14583444C22semidirect
160. #14583444C22semidirect
161. #14583434C22semidirect
162. #14583433C22semidirect
163. #14583432C22semidirect
164. #14583432C22semidirect
165. #14583432C22semidirect
166. #14583429C22semidirect
167. #14583428C22semidirect
168. #14583427C22semidirect
169. #14583427C22semidirect
170. #14583426C22semidirect
171. #14583426C22semidirect
172. C2×#13063314C22semidirect
173. C2×#13063313C22semidirect
174. C2×#13063312C22semidirect
175. C2×#13063311C22semidirect
176. C2×#13063311C22semidirect
177. #124×D43C22semidirect
178. #124×D43C22semidirect
179. #124×D43C22semidirect
180. #124×D43C22semidirect
181. #124×D43C22semidirect
182. #124×D43C22semidirect
183. #124×D43C22semidirect
184. #14583412C22semidirect
185. #14583411C22semidirect
186. #14583409C22semidirect
187. #14583408C22semidirect
188. #14583407C22semidirect
189. #14583407C22semidirect
190. #14583406C22semidirect
191. C2×#13063295C22semidirect
192. C2×#13063293C22semidirect
193. #120×D43C22semidirect
194. #14583376C22semidirect
195. #14583373C22semidirect
196. #14583372C22semidirect
197. #14583372C22semidirect
198. #14583371C22semidirect
199. #14583371C22semidirect
200. C4×#10621902C22semidirect
201. #14583367C22semidirect
202. C4×#10621900C22semidirect
203. C4×#10621900C22semidirect
204. C2×C22⋊C4×D43C22semidirect
205. C2×C42×D43C22semidirect
206. C43×#563C22semidirect
207. C43×#562C22semidirect
208. C43×H(3,𝔽4)C22semidirect
209. C43×#555C22semidirect
210. C43×#551C22semidirect
211. C43×#551C22semidirect
212. C43×#546C22semidirect
213. C43×#542C22semidirect
214. C43×#538C22semidirect
215. C43×#536C22semidirect
216. C43×#534C22semidirect
217. C43×#529C22semidirect
218. C2×#124×C43C22semidirect
226. C2×#10621898C23semidirect
231. C2×#10621900C23semidirect
234. C22×Dic86C23semidirect
239. C2×Q8×D43C23semidirect
257. #13063324C23semidirect
258. #13063324C23semidirect
259. #13063324C23semidirect
260. #13063324C23semidirect
261. #13063324C23semidirect
262. #13063324C23semidirect
263. #13063323C23semidirect
264. #13063323C23semidirect
265. #13063323C23semidirect
268. #13063321C23semidirect
269. #13063320C23semidirect
270. #13063320C23semidirect
271. #13063320C23semidirect
272. #13063320C23semidirect
273. #13063320C23semidirect
274. #13063320C23semidirect
275. #13063320C23semidirect
276. #13063319C23semidirect
277. #13063319C23semidirect
278. #13063319C23semidirect
279. #13063318C23semidirect
280. #13063318C23semidirect
281. #13063318C23semidirect
282. #13063318C23semidirect
283. #13063318C23semidirect
284. #13063318C23semidirect
285. #13063318C23semidirect
286. #13063317C23semidirect
287. #13063315C23semidirect
288. #13063315C23semidirect
293. #13063314C23semidirect
294. #13063314C23semidirect
295. #13063314C23semidirect
296. #13063314C23semidirect
300. #13063313C23semidirect
301. #13063313C23semidirect
302. #13063313C23semidirect
307. #13063312C23semidirect
308. #13063312C23semidirect
319. #13063311C23semidirect
320. #13063311C23semidirect
321. #13063311C23semidirect
322. #13063311C23semidirect
323. #13063311C23semidirect
324. #13063311C23semidirect
325. #13063311C23semidirect
326. #13063311C23semidirect
327. #13063311C23semidirect
328. #13063311C23semidirect
329. #13063311C23semidirect
330. #13063311C23semidirect
331. #13063311C23semidirect
332. #13063311C23semidirect
337. #13063310C23semidirect
338. #13063310C23semidirect
339. #13063310C23semidirect
340. #13063310C23semidirect
341. #13063310C23semidirect
342. #13063310C23semidirect
344. #13063309C23semidirect
345. #13063309C23semidirect
346. #13063309C23semidirect
349. #13063308C23semidirect
350. #13063308C23semidirect
351. #13063308C23semidirect
354. #13063307C23semidirect
355. #13063307C23semidirect
356. #13063307C23semidirect
357. #13063307C23semidirect
358. #13063307C23semidirect
359. #13063307C23semidirect
363. #13063306C23semidirect
364. #13063306C23semidirect
365. #13063306C23semidirect
368. #13063305C23semidirect
369. #13063305C23semidirect
371. #13063304C23semidirect
372. #13063304C23semidirect
378. #13063303C23semidirect
379. #13063303C23semidirect
380. #13063303C23semidirect
381. #13063303C23semidirect
382. #13063303C23semidirect
383. #13063303C23semidirect
384. #13063303C23semidirect
385. #13063303C23semidirect
387. #13063302C23semidirect
388. #13063302C23semidirect
389. #13063302C23semidirect
390. #13063302C23semidirect
391. #13063302C23semidirect
392. #13063302C23semidirect
393. #13063302C23semidirect
394. #13063302C23semidirect
397. #13063301C23semidirect
398. #13063301C23semidirect
399. #13063301C23semidirect
400. #13063301C23semidirect
405. #13063300C23semidirect
406. #13063300C23semidirect
408. #13063299C23semidirect
409. #13063299C23semidirect
419. #13063298C23semidirect
420. #13063298C23semidirect
421. #13063298C23semidirect
422. #13063298C23semidirect
428. #13063297C23semidirect
429. #13063297C23semidirect
430. #13063297C23semidirect
431. #13063297C23semidirect
434. #13063296C23semidirect
435. #13063296C23semidirect
444. #13063295C23semidirect
445. #13063295C23semidirect
446. #13063295C23semidirect
448. #13063294C23semidirect
457. #13063293C23semidirect
458. #13063293C23semidirect
459. #13063293C23semidirect
460. Q8×Dic43C23semidirect
461. C4×Dic86C23semidirect
462. C4×Dic86C23semidirect
463. C4×Dic86C23semidirect
464. C4×Dic86C23semidirect
465. #13063290C23semidirect
466. #13063290C23semidirect
467. #13063290C23semidirect
468. #13063290C23semidirect
469. #13063290C23semidirect
470. #13063290C23semidirect
474. C4×D172C23semidirect
475. C4×D172C23semidirect
476. C4×D172C23semidirect
478. D4×Dic43C23semidirect
479. D4×Dic43C23semidirect
480. D4×Dic43C23semidirect
486. #13063287C23semidirect
487. #13063287C23semidirect
488. #13063287C23semidirect
495. C4×C22⋊D43C23semidirect
496. C4×C22⋊D43C23semidirect
497. C4×C22⋊D43C23semidirect
498. C4×C22⋊D43C23semidirect
499. C4×C22⋊D43C23semidirect
508. (C22⋊D43)⋊C4C23semidirect
509. (C22⋊D43)⋊C4C23semidirect
510. (C22⋊D43)⋊C4C23semidirect
511. (C22⋊D43)⋊C4C23semidirect
512. (C22⋊D43)⋊C4C23semidirect
513. (C22⋊D43)⋊C4C23semidirect
514. (C22⋊D43)⋊C4C23semidirect
516. #13063284C23semidirect
519. #13063283C23semidirect
520. #13063283C23semidirect
521. #13063283C23semidirect
522. #13063283C23semidirect
524. #13063282C23semidirect
525. #13063282C23semidirect
526. #13063282C23semidirect
529. #13063281C23semidirect
530. #13063281C23semidirect
531. #13063281C23semidirect
532. #13063281C23semidirect
535. C2×C22⋊Dic43C23semidirect
540. C2×(C2×D43)⋊C4C23semidirect
541. C2×(C2×D43)⋊C4C23semidirect
553. C22⋊C4×D43C23semidirect
554. C22⋊C4×D43C23semidirect
555. C22⋊C4×D43C23semidirect
556. C22⋊C4×D43C23semidirect
559. C2×C4×Dic43C23semidirect
564. C42×D43C23semidirect
569. C4⋊Q8×C43C23semidirect
570. C4⋊Q8×C43C23semidirect
571. #126×C43C23semidirect
572. #126×C43C23semidirect
573. #126×C43C23semidirect
574. #125×C43C23semidirect
580. #124×C43C23semidirect
581. #124×C43C23semidirect
582. #124×C43C23semidirect
583. #124×C43C23semidirect
584. #124×C43C23semidirect
589. #123×C43C23semidirect
590. #123×C43C23semidirect
591. #123×C43C23semidirect
593. C22⋊Q8×C43C23semidirect
594. C22⋊Q8×C43C23semidirect
595. C22⋊Q8×C43C23semidirect
596. C22⋊Q8×C43C23semidirect
600. #121×C43C23semidirect
601. #121×C43C23semidirect
605. #120×C43C23semidirect
606. C4×Q8×C43C23semidirect
608. C4×D4×C43C23semidirect
609. C4×D4×C43C23semidirect
610. C4×D4×C43C23semidirect
612. #117×C43C23semidirect
613. #117×C43C23semidirect
616. C2×C22⋊C4×C43C23semidirect
1026. #3545D43semidirect
1056. #563C2×D43semidirect
1062. #562C2×D43semidirect
1067. H(3,𝔽4)C2×D43semidirect
1081. #555C2×D43semidirect
1102. #551C2×D43semidirect
1103. #551C2×D43semidirect
1139. #546C2×D43semidirect
1157. #542C2×D43semidirect
1173. #538C2×D43semidirect
1179. #536C2×D43semidirect
1187. #534C2×D43semidirect
1207. #529C2×D43semidirect
1220. C2×#124C2×D43semidirect
1243. C43#62824semidirect
1295. C4⋊Q8C22×D43semidirect
1296. C4⋊Q8C22×D43semidirect
1317. #126C22×D43semidirect
1318. #126C22×D43semidirect
1319. #126C22×D43semidirect
1323. #125C22×D43semidirect
1373. #124C22×D43semidirect
1374. #124C22×D43semidirect
1375. #124C22×D43semidirect
1376. #124C22×D43semidirect
1377. #124C22×D43semidirect
1415. #123C22×D43semidirect
1416. #123C22×D43semidirect
1417. #123C22×D43semidirect
1454. C22⋊Q8C22×D43semidirect
1455. C22⋊Q8C22×D43semidirect
1456. C22⋊Q8C22×D43semidirect
1457. C22⋊Q8C22×D43semidirect
1496. #121C22×D43semidirect
1497. #121C22×D43semidirect
1525. #120C22×D43semidirect
1537. C4×Q8C22×D43semidirect
1583. C4×D4C22×D43semidirect
1584. C4×D4C22×D43semidirect
1585. C4×D4C22×D43semidirect
1605. #117C22×D43semidirect
1606. #117C22×D43semidirect
1633. C2×C22⋊C4C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191491632
#191491592
#191491572
#191491172
#191491082
#191491062
#191489522
#191489492
#191489472
#191489442
#191485542
#191485522
#191485482
#191485452
#191484832
#191483812
#191482792
#191482772
#191482442
#191482272
#191478892
C2×#124×D432
C43×#35452
#6282443