Finite Group Databasebeta

← #26005252

Subgroups — #26005252

Order 11008.

7382 conjugacy classes of subgroups.

The subgroup lattice has 2290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148796C214yesmaximal, complemented
2#19148794C214yesmaximal, complemented
3#19148777C214yesmaximal, complemented
4#19148775C214yesmaximal, complemented
5#19148765C214yesmaximal, complemented
6#19148754C214yesmaximal, complemented
7#19148530C214yesmaximal, complemented
8#19148528C214yesmaximal, complemented
9#19148527C214yesmaximal, complemented
10#19148521C214yesmaximal, complemented
11#19148297C214yesmaximal, complemented
12#19148292C211yesmaximal, characteristic, complemented
13#19148291C211yesmaximal, characteristic, complemented
14#19148291C211yesmaximal, characteristic, complemented
15#19148288C211yesmaximal, characteristic, complemented
16#19148283C211yesmaximal, characteristic, complemented
17#19148280C211yesmaximal, characteristic, complemented
18#19148277C214yesmaximal, complemented
19#19148239C211yesmaximal, characteristic, complemented
20#19148236C211yesmaximal, characteristic, complemented
21#19148235C211yesmaximal, characteristic, complemented
22#19148227C211yesmaximal, characteristic, complemented
23#19148226C211yesmaximal, characteristic, complemented
24C2×#14583407C211yesmaximal, characteristic, complemented
25C2×#14583406C211yesmaximal, characteristic, complemented
26C2×#123×D43C211yesmaximal, characteristic, complemented
27C43×#3485C211yesmaximal, characteristic, complemented
28C2×#13063370C2211yescharacteristic, complemented
29C22×#10621900C2211yescharacteristic, complemented
30C22×D4×D43C2211yescharacteristic
31C23×C4×D43C2211yescharacteristic, complemented
32#14583650C2214yescomplemented
33#14583648C2214yescomplemented
34#14583646C2214yescomplemented
35#14583645C2214yescomplemented
36#14583644C2214yescomplemented
37#14583643C2214yescomplemented
38#14583638C2214yescomplemented
39#14583637C2214yescomplemented
40#14583633C2214yescomplemented
41#14583632C2214yescomplemented
42#14583610C2214yescomplemented
43#14583604C2214yescomplemented
44#14583603C2214yescomplemented
45#14583603C2214yescomplemented
46#14583599C2214yescomplemented
47#14583598C2214yescomplemented
48#14583597C2214yescomplemented
49#14583596C2214yescomplemented
50#14583594C2214yescomplemented
51#14583594C2214yescomplemented
52#14583594C2214yescomplemented
53#14583592C2214yescomplemented
54#14583589C2214yescomplemented
55#14583586C2214yescomplemented
56#14583586C2214yescomplemented
57#14583586C2214yescomplemented
58#14583586C2214yescomplemented
59#14583584C2214yescomplemented
60#14583584C2214yescomplemented
61#14583582C2214yescomplemented
62#14583580C2214yescomplemented
63#14583580C2214yescomplemented
64#14583579C2214yescomplemented
65#14583578C2214yescomplemented
66#14583578C2214yescomplemented
67#14583578C2214yescomplemented
68#14583577C2214yescomplemented
69#14583576C2214yescomplemented
70#14583576C2214yescomplemented
71#14583575C2214yescomplemented
72#14583575C2214yescomplemented
73#14583575C2214yescomplemented
74#14583575C2214yescomplemented
75#14583573C2214yescomplemented
76#14583572C2214yescomplemented
77#14583572C2214yescomplemented
78#14583572C2214yescomplemented
79#14583572C2214yescomplemented
80#14583549C2214yescomplemented
81#14583548C2214yescomplemented
82#14583548C2214yescomplemented
83#14583548C2214yescomplemented
84#14583548C2214yescomplemented
85#14583547C2214yescomplemented
86#14583546C2214yescomplemented
87#14583545C2214yescomplemented
88#14583543C2214yescomplemented
89#14583543C2214yescomplemented
90#14583541C2214yescomplemented
91#14583539C2214yescomplemented
92#14583539C2214yescomplemented
93#14583538C2214yescomplemented
94#14583538C2214yescomplemented
95#14583538C2214yescomplemented
96#14583537C2214yescomplemented
97#14583537C2214yescomplemented
98#14583537C2214yescomplemented
99#14583537C2214yescomplemented
100#14583536C2214yescomplemented
101#14583536C2214yescomplemented
102#14583536C2214yescomplemented
103#14583536C2214yescomplemented
104#14583533C2214yescomplemented
105D4×C22⋊D43C2214yescomplemented
106D4×C22⋊D43C2214yescomplemented
107#14583531C2214yescomplemented
108#14583526C2214yescomplemented
109#14583525C2211yescharacteristic, complemented
110#14583525C2211yescharacteristic, complemented
111#14583524C2214yescomplemented
112#14583523C2214yescomplemented
113#14583519C2214yescomplemented
114#14583517C2214yescomplemented
115#14583513C2214yescomplemented
116#14583502C2214yescomplemented
117#14583501C2214yescomplemented
118#14583499C2214yescomplemented
119#14583499C2214yescomplemented
120#14583498C2214yescomplemented
121#14583496C2214yescomplemented
122#14583495C2214yescomplemented
123#14583495C2214yescomplemented
124#14583495C2214yescomplemented
125#14583494C2214yescomplemented
126#14583493C2214yescomplemented
127#14583493C2214yescomplemented
128#14583492C2214yescomplemented
129#14583492C2214yescomplemented
130#14583491C2214yescomplemented
131#14583491C2214yescomplemented
132#14583487C2214yescomplemented
133#14583486C2214yescomplemented
134#14583485C2214yescomplemented
135#14583485C2214yescomplemented
136#14583484C2214yescomplemented
137#14583483C2214yescomplemented
138#14583482C2214yescomplemented
139#14583482C2214yescomplemented
140#14583481C2214yescomplemented
141#14583481C2214yescomplemented
142#14583478C2214yescomplemented
143#14583473C2212yescomplemented
144#14583471C2212yescomplemented
145#14583470C2212yescomplemented
146#14583464C2212yescomplemented
147#14583463C2212yescomplemented
148#14583460C2212yescomplemented
149#14583459C2214yescomplemented
150#14583459C2212yescomplemented
151#14583458C2211yescharacteristic
152#14583458C2211yescharacteristic
153#14583458C2211yescharacteristic
154#14583458C2212yescomplemented
155#14583458C2211yescharacteristic, complemented
156#14583458C2212yescomplemented
157#14583458C2212yescomplemented
158#14583430C2214yescomplemented
159#14583429C2214yescomplemented
160#14583426C2214yescomplemented
161#14583426C2214yescomplemented
162#14583410C2212yescomplemented
163#14583409C2214yescomplemented
164#14583408C2214yescomplemented
165#14583407C2212yescomplemented
166#14583407C2214yescomplemented
167#14583407C2214yescomplemented
168#14583407C2214yescomplemented
169#14583407C2214yescomplemented
170#14583406C2212yescomplemented
171#14583406C2214yescomplemented
172#14583406C2214yescomplemented
173#14583406C2212yescomplemented
174#14583406C2214yescomplemented
175#14583406C2214yescomplemented
176#14583405C2212yescomplemented
177C2×#13063310C2212yescomplemented
178C2×#13063309C2211yescharacteristic, complemented
179C2×#13063308C2211yescharacteristic, complemented
180C2×#13063308C2211yescharacteristic, complemented
181C2×#13063308C2212yescomplemented
182C2×#13063307C2212yescomplemented
183C2×#13063306C2211yescharacteristic, complemented
184C2×#13063306C2211yescharacteristic, complemented
185C2×#13063306C2211yescharacteristic, complemented
186C2×#13063306C2212yescomplemented
187#123×D43C2214yescomplemented
188#123×D43C2214yescomplemented
189#123×D43C2214yescomplemented
190#123×D43C2214yescomplemented
191#123×D43C2212yescomplemented
192C2×#13063303C2212yescomplemented
193C2×#13063301C2212yescomplemented
194C2×#13063298C2212yescomplemented
195C2×#13063296C2212yescomplemented
196C2×#13063295C2211yescharacteristic, complemented
197C2×#13063293C2211yescharacteristic, complemented
198C2×#13063293C2211yescharacteristic, complemented
199C2×#13063293C2211yescharacteristic, complemented
200C2×#13063293C2212yescomplemented
201#120×D43C2212yescomplemented
202#14583380C2214yescomplemented
203#14583378C2214yescomplemented
204#14583374C2211yescharacteristic, complemented
205#14583374C2211yescharacteristic, complemented
206#14583374C2211yescharacteristic, complemented
207#14583372C2211yescharacteristic, complemented
208#14583372C2211yescharacteristic, complemented
209#14583372C2214yescomplemented
210#14583371C2214yescomplemented
211C2×#13063287C2212yescomplemented
212C2×C4×C22⋊D43C2212yescomplemented
213C2×C4×C22⋊D43C2212yescomplemented
214C2×(C22⋊D43)⋊C4C2212yescomplemented
215C2×#13063284C2211yescharacteristic, complemented
216C2×#13063281C2211yescharacteristic, complemented
217C2×C4⋊C4×D43C2212yescomplemented
218C2×C22⋊C4×D43C2212yescomplemented
219C2×C22⋊C4×D43C2211yescharacteristic, complemented
220C2×H(5,𝔽2)×C43C2211yescharacteristic, complemented
221C22×#41×C43C2211yescharacteristic, complemented
222C43×#547C2214yescomplemented
223C43×#547C2214yescomplemented
224C43×#546C2214yescomplemented
225C43×#546C2214yescomplemented
226C43×#536C2212yescomplemented
227C43×#534C2211yescharacteristic
228C43×#534C2211yescharacteristic, complemented
229C43×#534C2212yescomplemented
230C43×#525C2212yescomplemented
231C2×#123×C43C2211yescharacteristic, complemented
232C2×#123×C43C2211yescharacteristic, complemented
233C2×#123×C43C2212yescomplemented
234C43×#518C2211yescharacteristic, complemented
235C24×D43C2311yescharacteristic
236C24×D43C2311yescharacteristic
237#13063370—44no—
238C2×#10621898C2314yes—
239C2×#10621898C2312yes—
240C2×#10621900—44no—
241C2×#10621900C2314yes—
242C2×#10621900C2312yes—
243C2×#10621900C2314yes—
244C2×#10621900C2312yes—
245C2×#10621900C2314yescomplemented
246C22×Dic86C2311yescharacteristic, complemented
247C22×D172C2312yes—
248C22×D172C2311yescharacteristic
249C22×C22⋊D43C2311yescharacteristic
250C22×C22⋊D43C2311yescharacteristic
251C22×C22⋊D43C2312yes—
252C22×C22⋊D43C2312yes—
253C22×C22⋊D43C2312yes—
254C22×C22⋊D43C2314yes—
255C22×C22⋊D43C2311yescharacteristic
256C22×C22⋊D43C2312yes—
257C22×C22⋊D43C2311yescharacteristic, complemented
258C2×D4×D43—44no—
259C2×D4×D43C2314yes—
260C2×D4×D43C2312yes—
261C2×D4×D43C2314yes—
262C2×D4×D43C2314yes—
263C2×D4×D43C2312yes—
264C23×Dic43C2311yescharacteristic
265C23×Dic43C2311yescharacteristic, complemented
266C22×C4×D43—44no—
267C22×C4×D43C2312yes—
268C22×C4×D43C2312yes—
269C22×C4×D43C2311yescharacteristic
270C22×C4×D43C2312yes—
271C22×C4×D43C2312yes—
272C22×C4×D43C2312yes—
273C22×C4×D43C2312yes—
274C22×C4×D43C2312yes—
275C22×C4×D43C2311yescharacteristic, complemented
276#13063324C2314yescomplemented
277#13063323C2314yescomplemented
278#13063323C2314yescomplemented
279#13063321C2314yes—
280#13063321C2314yes—
281#13063320C2314yescomplemented
282#13063320C2314yescomplemented
283#13063320C2314yescomplemented
284#13063320C2314yescomplemented
285#13063320C2314yescomplemented
286#13063320C2314yescomplemented
287#13063320C2314yescomplemented
288#13063320C2314yescomplemented
289#13063319C2314yescomplemented
290#13063319C2314yescomplemented
291#13063318C2314yescomplemented
292#13063318C2314yescomplemented
293#13063318C2314yescomplemented
294#13063318C2314yescomplemented
295#13063318C2314yescomplemented
296#13063318C2314yescomplemented
297#13063318C2314yescomplemented
298#13063318C2314yescomplemented
299#13063318C2314yescomplemented
300#13063318C2314yescomplemented
301#13063317C2314yescomplemented
302#13063316C2314yescomplemented
303#13063316C2314yescomplemented
304#13063316C2314yescomplemented
305#13063315C2314yescomplemented
306#13063315C2314yescomplemented
307#13063315C2314yescomplemented
308#13063315C2314yescomplemented
309#13063315C2314yescomplemented
310#13063315C2314yescomplemented
311#13063315C2314yescomplemented
312#13063315C2314yescomplemented
313#13063314C2314yes—
314#13063314C2314yescomplemented
315#13063313C2314yescomplemented
316#13063312C2314yescomplemented
317#13063312C2314yescomplemented
318#13063311C2314yes—
319#13063311C2314yescomplemented
320#13063311C2314yescomplemented
321#13063311C2314yescomplemented
322#13063311C2314yescomplemented
323#13063311C2314yescomplemented
324#13063311C2314yescomplemented
325#13063311C2314yescomplemented
326#13063310C2314yes—
327#13063310C2314yes—
328#13063310C2314yes—
329#13063310C2314yes—
330#13063310C2314yes—
331#13063310C2314yes—
332#13063310C2314yescomplemented
333#13063310C2314yescomplemented
334#13063309C2314yes—
335#13063309C2312yes—
336#13063309C2312yes—
337#13063309C2314yescomplemented
338#13063309C2314yescomplemented
339#13063309C2314yescomplemented
340#13063309C2314yescomplemented
341#13063308C2314yes—
342#13063308C2314yes—
343#13063308C2312yes—
344#13063308C2312yes—
345#13063308C2312yes—
346#13063308C2314yes—
347#13063308C2312yes—
348#13063308C2312yes—
349#13063308C2312yescomplemented
350#13063308C2314yescomplemented
351#13063308C2314yescomplemented
352#13063308C2314yescomplemented
353#13063308C2314yescomplemented
354#13063308C2314yescomplemented
355#13063308C2312yescomplemented
356#13063308C2312yescomplemented
357#13063307C2314yes—
358#13063307C2314yes—
359#13063307C2314yes—
360#13063307C2314yes—
361#13063307C2314yes—
362#13063307C2314yes—
363#13063307C2314yes—
364#13063307C2314yescomplemented
365#13063307C2314yescomplemented
366#13063307C2314yescomplemented
367#13063307C2314yescomplemented
368#13063307C2314yescomplemented
369#13063306C2314yes—
370#13063306C2314yes—
371#13063306C2314yes—
372#13063306C2312yes—
373#13063306C2312yes—
374#13063306C2312yes—
375#13063306C2312yes—
376#13063306C2312yes—
377#13063306C2312yescomplemented
378#13063306C2314yescomplemented
379#13063306C2314yescomplemented
380#13063306C2314yescomplemented
381#13063306C2314yescomplemented
382#13063306C2314yescomplemented
383#13063306C2312yescomplemented
384#13063306C2312yescomplemented
385#13063306C2312yescomplemented
386#13063306C2312yescomplemented
387#13063305C2314yes—
388#13063305C2314yescomplemented
389#13063305C2314yescomplemented
390#13063304C2314yes—
391#13063304C2314yescomplemented
392#13063304C2314yescomplemented
393#13063304C2314yescomplemented
394#13063304C2314yescomplemented
395#13063304C2314yescomplemented
396#13063303C2314yes—
397#13063303C2314yes—
398#13063303C2314yes—
399#13063303C2314yes—
400#13063303C2314yescomplemented
401#13063303C2314yescomplemented
402#13063303C2314yescomplemented
403#13063303C2314yescomplemented
404#13063302C2314yes—
405#13063302C2314yescomplemented
406#13063302C2314yescomplemented
407#13063302C2314yescomplemented
408#13063302C2314yescomplemented
409#13063302C2314yescomplemented
410#13063302C2314yescomplemented
411#13063302C2314yescomplemented
412#13063302C2314yescomplemented
413#13063302C2314yescomplemented
414#13063301C2314yes—
415#13063301C2314yes—
416#13063301C2314yes—
417#13063301C2314yescomplemented
418#13063301C2314yescomplemented
419#13063301C2314yescomplemented
420#13063301C2314yescomplemented
421#13063301C2314yescomplemented
422#13063300C2314yes—
423#13063299C2314yes—
424#13063299C2314yes—
425#13063299C2314yescomplemented
426#13063299C2314yescomplemented
427#13063298C2314yes—
428#13063298C2314yes—
429#13063298C2314yes—
430#13063298C2314yes—
431#13063298C2314yes—
432#13063298C2314yes—
433#13063298C2314yescomplemented
434#13063298C2314yescomplemented
435#13063298C2314yescomplemented
436#13063298C2314yescomplemented
437#13063297C2314yes—
438#13063297C2314yes—
439#13063297C2314yes—
440#13063297C2314yes—
441#13063297C2314yes—
442#13063297C2314yes—
443#13063297C2314yes—
444#13063297C2314yescomplemented
445#13063297C2314yescomplemented
446#13063297C2314yescomplemented
447#13063297C2314yescomplemented
448#13063297C2314yescomplemented
449#13063297C2314yescomplemented
450#13063297C2314yescomplemented
451#13063296C2314yes—
452#13063296C2314yes—
453#13063296C2314yes—
454#13063296C2314yes—
455#13063296C2314yescomplemented
456#13063296C2314yescomplemented
457#13063296C2314yescomplemented
458#13063296C2314yescomplemented
459#13063295C2314yes—
460#13063295C2314yes—
461#13063295C2314yes—
462#13063295C2312yes—
463#13063295C2312yes—
464#13063294C2312yes—
465#13063294C2312yes—
466#13063294C2312yes—
467#13063294C2314yes—
468#13063294C2314yescomplemented
469#13063294C2312yescomplemented
470#13063293C2312yes—
471#13063293C2312yes—
472#13063293C2314yes—
473#13063293C2314yes—
474#13063293C2314yes—
475#13063293C2312yes—
476#13063293C2314yes—
477#13063293C2314yes—
478#13063293C2314yes—
479#13063293C2312yes—
480#13063293C2312yes—
481#13063293C2312yes—
482#13063293C2312yes—
483#13063293C2312yes—
484#13063293C2312yes—
485#13063293C2314yescomplemented
486#13063293C2314yescomplemented
487#13063293C2312yescomplemented
488C4×Dic86C2314yescomplemented
489#13063290C2314yescomplemented
490#13063290C2314yescomplemented
491#13063290C2314yescomplemented
492C4×D172C2314yes—
493D4×Dic43C2314yes—
494D4×Dic43C2314yes—
495D4×Dic43C2314yes—
496D4×Dic43C2314yes—
497D4×Dic43C2314yescomplemented
498D4×Dic43C2314yescomplemented
499D4×Dic43C2314yescomplemented
500D4×Dic43C2314yescomplemented
501#13063287C2314yes—
502#13063287C2314yes—
503#13063287C2314yes—
504#13063287C2314yescomplemented
505#13063287C2314yescomplemented
506C4×C22⋊D43C2314yes—
507C4×C22⋊D43C2314yes—
508C4×C22⋊D43C2314yes—
509C4×C22⋊D43C2314yes—
510C4×C22⋊D43C2314yes—
511C4×C22⋊D43C2314yes—
512C4×C22⋊D43C2314yes—
513C4×C22⋊D43C2314yes—
514C4×C22⋊D43C2314yes—
515C4×C22⋊D43C2314yescomplemented
516C4×C22⋊D43C2314yescomplemented
517C4×C22⋊D43C2314yescomplemented
518C4×C22⋊D43C2314yescomplemented
519C4×C22⋊D43C2314yescomplemented
520C4×C22⋊D43C2314yescomplemented
521C4×C22⋊D43C2314yescomplemented
522C4×C22⋊D43C2314yescomplemented
523C4×C22⋊D43C2314yescomplemented
524(C22⋊D43)⋊C4C2314yes—
525(C22⋊D43)⋊C4C2314yes—
526(C22⋊D43)⋊C4C2314yes—
527(C22⋊D43)⋊C4C2314yes—
528(C22⋊D43)⋊C4C2314yes—
529(C22⋊D43)⋊C4C2314yes—
530(C22⋊D43)⋊C4C2314yescomplemented
531(C22⋊D43)⋊C4C2314yescomplemented
532(C22⋊D43)⋊C4C2314yescomplemented
533(C22⋊D43)⋊C4C2314yescomplemented
534(C22⋊D43)⋊C4C2314yescomplemented
535(C22⋊D43)⋊C4C2314yescomplemented
536#13063284C2314yes—
537#13063284C2312yes—
538#13063284C2312yescomplemented
539#13063284C2312yescomplemented
540#13063284C2314yescomplemented
541#13063284C2314yescomplemented
542#13063283C2314yes—
543#13063283C2314yescomplemented
544#13063283C2314yescomplemented
545#13063282C2314yes—
546#13063282C2314yescomplemented
547#13063281C2314yes—
548#13063281C2312yes—
549#13063281C2314yescomplemented
550#13063281C2314yescomplemented
551#13063281C2314yescomplemented
552#13063281C2314yescomplemented
553#13063281C2314yescomplemented
554#13063281C2312yescomplemented
555C2×C4⋊Dic43C2312yes—
556C2×C4⋊Dic43C2312yescomplemented
557C2×Dic43⋊C4C2312yes—
558C2×Dic43⋊C4C2312yes—
559C2×Dic43⋊C4C2312yescomplemented
560C2×Dic43⋊C4C2312yescomplemented
561C2×Dic43⋊C4C2312yescomplemented
562C2×Dic43⋊C4C2314yescomplemented
563C2×Dic43⋊C4C2314yescomplemented
564C2×Dic43⋊C4C2312yescomplemented
565C4⋊C4×D43C2314yes—
566C4⋊C4×D43C2314yes—
567C4⋊C4×D43C2314yes—
568C4⋊C4×D43C2314yes—
569C4⋊C4×D43C2314yescomplemented
570C2×C22⋊Dic43C2312yes—
571C2×C22⋊Dic43C2312yes—
572C2×C22⋊Dic43C2311yescharacteristic
573C2×C22⋊Dic43C2311yescharacteristic
574C2×C22⋊Dic43C2311yescharacteristic
575C2×C22⋊Dic43C2311yescharacteristic
576C2×C22⋊Dic43C2312yescomplemented
577C2×C22⋊Dic43C2312yescomplemented
578C2×C22⋊Dic43C2314yescomplemented
579C2×C22⋊Dic43C2312yescomplemented
580C2×C22⋊Dic43C2312yescomplemented
581C2×(C2×D43)⋊C4C2312yes—
582C2×(C2×D43)⋊C4C2312yes—
583C2×(C2×D43)⋊C4C2312yes—
584C2×(C2×D43)⋊C4C2312yes—
585C2×(C2×D43)⋊C4C2314yes—
586C2×(C2×D43)⋊C4C2312yes—
587C2×(C2×D43)⋊C4C2312yes—
588C2×(C2×D43)⋊C4C2312yes—
589C2×(C2×D43)⋊C4C2312yescomplemented
590C2×(C2×D43)⋊C4C2314yescomplemented
591C22⋊C4×D43C2312yes—
592C22⋊C4×D43C2314yes—
593C22⋊C4×D43C2314yes—
594C22⋊C4×D43C2314yes—
595C22⋊C4×D43C2314yes—
596C22⋊C4×D43C2314yes—
597C22⋊C4×D43C2314yes—
598C22⋊C4×D43C2314yes—
599C22⋊C4×D43C2312yescomplemented
600C22⋊C4×D43C2314yescomplemented
601C2×C4×Dic43C2312yescomplemented
602C2×C4×Dic43C2312yescomplemented
603H(5,𝔽2)×C43—44no—
604C2×#41×C43—44no—
605C2×#41×C43C2312yes—
606C2×#41×C43C2314yes—
607C2×#41×C43C2312yes—
608C2×#41×C43C2312yes—
609C2×#41×C43C2314yescomplemented
610C22×Q8×C43C2311yescharacteristic, complemented
611C22×D4×C43C2311yescharacteristic
612C22×D4×C43C2311yescharacteristic
613C22×D4×C43C2311yescharacteristic
614C22×D4×C43C2311yescharacteristic
615C22×D4×C43C2312yes—
616C22×D4×C43C2312yes—
617C22×D4×C43C2312yes—
618C22×D4×C43C2311yescharacteristic, complemented
619C23×C4×C43C2311yescharacteristic
620C23×C4×C43C2311yescharacteristic, complemented
621C23×C4×C43C2311yescharacteristic, complemented
622C4⋊Q8×C43C2314yescomplemented
623#124×C43C2314yescomplemented
624#123×C43C2314yes—
625#123×C43C2314yes—
626#123×C43C2312yes—
627#123×C43C2312yes—
628#123×C43C2312yes—
629#123×C43C2312yes—
630#123×C43C2312yescomplemented
631#123×C43C2312yescomplemented
632#123×C43C2314yescomplemented
633#123×C43C2312yescomplemented
634#123×C43C2312yescomplemented
635#123×C43C2314yescomplemented
636#123×C43C2314yescomplemented
637C22⋊Q8×C43C2314yescomplemented
638C22⋊Q8×C43C2314yescomplemented
639C22⋊Q8×C43C2314yescomplemented
640#121×C43C2314yes—
641#121×C43C2314yes—
642#121×C43C2314yescomplemented
643#121×C43C2314yescomplemented
644#121×C43C2314yescomplemented
645#120×C43C2312yes—
646#120×C43C2312yes—
647#120×C43C2312yescomplemented
648#120×C43C2314yescomplemented
649#120×C43C2312yescomplemented
650C4×D4×C43C2314yes—
651C4×D4×C43C2314yescomplemented
652C4×D4×C43C2314yescomplemented
653C4×D4×C43C2314yescomplemented
654#117×C43C2312yescomplemented
655C2×C4⋊C4×C43C2312yes—
656C2×C4⋊C4×C43C2312yescomplemented
657C2×C4⋊C4×C43C2314yescomplemented
658C2×C22⋊C4×C43C2311yescharacteristic
659C2×C22⋊C4×C43C2311yescharacteristic
660C2×C22⋊C4×C43C2312yes—
661C2×C22⋊C4×C43C2312yescomplemented
662C2×C22⋊C4×C43C2312yescomplemented
663C2×C22⋊C4×C43C2314yescomplemented
664C24×C43C2411yescharacteristic
665C24×C43C2411yescharacteristic
666C24×C43C2411yescharacteristic
667C24×C43C2411yescharacteristic
668C24×C43C2412yes—
669C24×C43C2411yescharacteristic
670C23×D43—24no—
671C23×D43—44no—
672C23×D43—44no—
673C23×D43—42no—
674C23×D43C2411yescharacteristic
675C23×D43C2412yes—
676C23×D43C2412yes—
677C23×D43C2414yes—
678C23×D43C2411yescharacteristic
679C23×D43C2411yescharacteristic
680C23×D43C2411yescharacteristic
681C23×D43C2412yes—
682#41×C43—48no—
683#41×C43—48no—
684#41×C43—44no—
685#41×C43—44no—
686#41×C43—44no—
687C2×Q8×C43—42no—
688C2×Q8×C43C2414yes—
689C2×Q8×C43C2412yes—
690C2×D4×C43—24no—
691C2×D4×C43—24no—
692C2×D4×C43—24no—
693C2×D4×C43—24no—
694C2×D4×C43—42no—
695C2×D4×C43—44no—
696C2×D4×C43—44no—
697C2×D4×C43—44no—
698C2×D4×C43C2412yes—
699C2×D4×C43C2412yes—
700C2×D4×C43C2412yes—
701C2×D4×C43C2412yes—
702C2×D4×C43C2412yes—
703C2×D4×C43C2412yes—
704C2×D4×C43C2412yes—
705C2×D4×C43C2412yes—
706C2×D4×C43C2414yes—
707C2×D4×C43C2414yes—
708C2×D4×C43C2414yes—
709C2×D4×C43C2412yes—
710C2×D4×C43C2412yes—
711C2×D4×C43C2412yes—
712C22×C4×C43—24no—
713C22×C4×C43—42no—
714C22×C4×C43—42no—
715C22×C4×C43C2412yes—
716C22×C4×C43C2412yes—
717C22×C4×C43C2411yescharacteristic
718C22×C4×C43C2411yescharacteristic
719C22×C4×C43C2411yescharacteristic
720C22×C4×C43C2411yescharacteristic
721C22×C4×C43C2411yescharacteristic
722C22×C4×C43C2411yescharacteristic
723C22×C4×C43C2412yes—
724C22×C4×C43C2412yes—
725C22×C4×C43C2414yes—
726C22×C4×C43C2414yes—
727C22×C4×C43C2412yes—
728C22×C4×C43C2414yes—
729C22×C4×C43C2412yes—
730C22×C4×C43C2412yes—
731C2×C22⋊D43—24no—
732C2×C22⋊D43—24no—
733C2×C22⋊D43—42no—
734C2×C22⋊D43—42no—
735C2×C22⋊D43—44no—
736C2×C22⋊D43—44no—
737C2×C22⋊D43—44no—
738C2×C22⋊D43—48no—
739C2×C22⋊D43—44no—
740C2×C22⋊D43C2414yes—
741C2×C22⋊D43C2414yes—
742C2×C22⋊D43C2412yes—
743C2×C22⋊D43C2412yes—
744C2×C22⋊D43C2414yes—
745C2×C22⋊D43C2412yes—
746C2×C22⋊D43C2412yes—
747C2×C22⋊D43C2414yes—
748C2×C22⋊D43C2414yes—
749C2×C22⋊D43C2414yes—
750C2×C22⋊D43C2414yes—
751C2×C22⋊D43C2414yes—
752C2×C22⋊D43C2414yes—
753C2×C22⋊D43C2414yes—
754C2×C22⋊D43C2412yes—
755C2×C22⋊D43C2414yes—
756C2×C22⋊D43C2414yes—
757C2×C22⋊D43C2412yes—
758C22×Dic43—24no—
759C22×Dic43—42no—
760C22×Dic43C2411yescharacteristic
761C22×Dic43C2411yescharacteristic
762C22×Dic43C2412yes—
763C22×Dic43C2412yes—
764C22×Dic43C2411yescharacteristic
765C22×Dic43C2411yescharacteristic
766C22×Dic43C2412yes—
767C22×Dic43C2412yes—
768C22×Dic43C2412yes—
769C22×Dic43C2412yes—
770C22×Dic43C2414yes—
771C22×Dic43C2414yes—
772C22×Dic43C2414yes—
773C22×Dic43C2414yes—
774C22×Dic43C2412yes—
775#10621900—48no—
776#10621900—48no—
777#10621900—48no—
778#10621900—44no—
779#10621900—44no—
780D4×D43—48no—
781D4×D43—48no—
782D4×D43—48no—
783D4×D43—44no—
784D4×D43—44no—
785#10621898—48no—
786#10621898—44no—
787C2×D172—42no—
788C2×D172—44no—
789C2×D172C2414yes—
790C2×D172C2414yes—
791C2×D172C2412yes—
792C2×D172C2414yes—
793C2×C4×D43—44no—
794C2×C4×D43—44no—
795C2×C4×D43—44no—
796C2×C4×D43—44no—
797C2×C4×D43—44no—
798C2×C4×D43—44no—
799C2×C4×D43—44no—
800C2×C4×D43—42no—
801C2×C4×D43—42no—
802C2×C4×D43C2414yes—
803C2×C4×D43C2414yes—
804C2×C4×D43C2412yes—
805C2×C4×D43C2412yes—
806C2×C4×D43C2412yes—
807C2×C4×D43C2412yes—
808C2×C4×D43C2414yes—
809C2×C4×D43C2412yes—
810C2×C4×D43C2414yes—
811C2×C4×D43C2414yes—
812C2×C4×D43C2414yes—
813C2×C4×D43C2412yes—
814C2×C4×D43C2412yes—
815C2×C4×D43C2412yes—
816C2×C4×D43C2412yes—
817C2×C4×D43C2412yes—
818C2×Dic86—42no—
819C2×Dic86C2414yes—
820C2×Dic86C2414yes—
821C2×Dic86C2412yes—
822C2×Dic86C2414yes—
823C4⋊C4×C43C2414yes—
824C4⋊C4×C43C2414yes—
825C4⋊C4×C43C2414yes—
826C4⋊C4×C43C2414yes—
827C4⋊C4×C43C2414yes—
828C4⋊C4×C43C2414yes—
829C4⋊C4×C43C2414yes—
830C22⋊C4×C43C2412yes—
831C22⋊C4×C43C2412yes—
832C22⋊C4×C43C2414yes—
833C22⋊C4×C43C2412yes—
834C22⋊C4×C43C2412yes—
835C22⋊C4×C43C2414yes—
836C22⋊C4×C43C2414yes—
837C22⋊C4×C43C2414yes—
838C22⋊C4×C43C2414yes—
839C22⋊C4×C43C2414yes—
840C22⋊C4×C43C2414yes—
841C22⋊C4×C43C2414yes—
842C22⋊C4×C43C2414yes—
843C42×C43C2414yes—
844C22⋊Dic43C2414yes—
845C22⋊Dic43C2412yes—
846C22⋊Dic43C2412yes—
847C22⋊Dic43C2414yes—
848C22⋊Dic43C2412yes—
849C22⋊Dic43C2414yes—
850C22⋊Dic43C2412yes—
851C22⋊Dic43C2414yes—
852C22⋊Dic43C2412yes—
853C22⋊Dic43C2412yes—
854C22⋊Dic43C2412yes—
855C22⋊Dic43C2412yes—
856C22⋊Dic43C2414yes—
857C22⋊Dic43C2414yes—
858C22⋊Dic43C2414yes—
859C22⋊Dic43C2414yes—
860C22⋊Dic43C2414yes—
861C22⋊Dic43C2414yes—
862C22⋊Dic43C2414yes—
863C22⋊Dic43C2414yes—
864C22⋊Dic43C2414yes—
865(C2×D43)⋊C4C2414yes—
866(C2×D43)⋊C4C2414yes—
867(C2×D43)⋊C4C2414yes—
868(C2×D43)⋊C4C2414yes—
869(C2×D43)⋊C4C2414yes—
870(C2×D43)⋊C4C2414yes—
871(C2×D43)⋊C4C2414yes—
872(C2×D43)⋊C4C2414yes—
873(C2×D43)⋊C4C2414yes—
874(C2×D43)⋊C4C2414yes—
875(C2×D43)⋊C4C2414yes—
876(C2×D43)⋊C4C2414yes—
877(C2×D43)⋊C4C2414yes—
878(C2×D43)⋊C4C2414yes—
879(C2×D43)⋊C4C2414yes—
880(C2×D43)⋊C4C2414yes—
881(C2×D43)⋊C4C2414yes—
882(C2×D43)⋊C4C2414yes—
883(C2×D43)⋊C4C2414yes—
884(C2×D43)⋊C4C2414yes—
885(C2×D43)⋊C4C2414yes—
886(C2×D43)⋊C4C2414yes—
887C4⋊Dic43C2414yes—
888C4⋊Dic43C2414yes—
889C4⋊Dic43C2414yes—
890C4⋊Dic43C2414yes—
891C4⋊Dic43C2414yes—
892C4⋊Dic43C2414yes—
893C4⋊Dic43C2414yes—
894C4⋊Dic43C2414yes—
895C4⋊Dic43C2414yes—
896Dic43⋊C4C2414yes—
897Dic43⋊C4C2414yes—
898Dic43⋊C4C2414yes—
899Dic43⋊C4C2414yes—
900Dic43⋊C4C2414yes—
901Dic43⋊C4C2414yes—
902Dic43⋊C4C2414yes—
903Dic43⋊C4C2414yes—
904Dic43⋊C4C2414yes—
905Dic43⋊C4C2414yes—
906Dic43⋊C4C2414yes—
907Dic43⋊C4C2414yes—
908Dic43⋊C4C2414yes—
909Dic43⋊C4C2414yes—
910Dic43⋊C4C2414yes—
911Dic43⋊C4C2414yes—
912Dic43⋊C4C2414yes—
913Dic43⋊C4C2414yes—
914Dic43⋊C4C2414yes—
915Dic43⋊C4C2414yes—
916Dic43⋊C4C2414yes—
917Dic43⋊C4C2414yes—
918C4×Dic43C2414yes—
919C4×Dic43C2414yes—
920C4×Dic43C2414yes—
921C4×Dic43C2414yes—
922C4×Dic43C2414yes—
923C4×Dic43C2414yes—
924C4×Dic43C2414yes—
925C4×Dic43C2414yes—
926C4×Dic43C2414yes—
927C23×C43—22no—
928C23×C43—22no—
929C23×C43—22no—
930C23×C43—22no—
931C23×C43—42no—
932C23×C43—42no—
933C23×C43—42no—
934C23×C43—42no—
935C23×C43—42no—
936C23×C43—44no—
937C23×C43—42no—
938C23×C43H(5,𝔽2)14yes—
939C23×C43C2512yes—
940C23×C43C2512yes—
941C23×C43C2512yes—
942C23×C43C2512yes—
943C23×C43C2511yescharacteristic
944C23×C43C2511yescharacteristic
945C23×C43C2511yescharacteristic
946C22×D43—22no—
947C22×D43—24no—
948C22×D43—22no—
949C22×D43—24no—
950C22×D43—24no—
951C22×D43—22no—
952C22×D43—22no—
953C22×D43—24no—
954C22×D43—24no—
955C22×D43—28no—
956C22×D43—42no—
957C22×D43—42no—
958C22×D43—42no—
959C22×D43—42no—
960C22×D43—44no—
961C22×D43—44no—
962C22×D43—42no—
963C22×D43—42no—
964C22×D43—44no—
965C22×D43—416no—
966C22×D43—88no—
967C22×D43C2512yes—
968C22×D43C2512yes—
969C22×D43C2512yes—
970C22×D43C2512yes—
971Q8×C43—44no—
972Q8×C43—42no—
973D4×C43—24no—
974D4×C43—24no—
975D4×C43—24no—
976D4×C43—24no—
977D4×C43—24no—
978D4×C43—24no—
979D4×C43—24no—
980D4×C43—24no—
981D4×C43—44no—
982D4×C43—44no—
983D4×C43—42no—
984D4×C43—42no—
985D4×C43—42no—
986D4×C43—44no—
987C2×C4×C43—22no—
988C2×C4×C43—22no—
989C2×C4×C43—22no—
990C2×C4×C43—24no—
991C2×C4×C43—24no—
992C2×C4×C43—22no—
993C2×C4×C43—22no—
994C2×C4×C43—22no—
995C2×C4×C43—42no—
996C2×C4×C43—42no—
997C2×C4×C43—44no—
998C2×C4×C43—44no—
999C2×C4×C43—44no—
1000C2×C4×C43—42no—
1001C2×C4×C43—42no—
1002C2×C4×C43—42no—
1003C2×C4×C43C2512yes—
1004C2×C4×C43C2514yes—
1005C2×C4×C43C2512yes—
1006C2×C4×C43C2512yes—
1007C2×C4×C43C2512yes—
1008C2×C4×C43C2514yes—
1009C2×C4×C43C2512yes—
1010C2×C4×C43C2512yes—
1011C22⋊D43—24no—
1012C22⋊D43—24no—
1013C22⋊D43—24no—
1014C22⋊D43—24no—
1015C22⋊D43—28no—
1016C22⋊D43—28no—
1017C22⋊D43—28no—
1018C22⋊D43—44no—
1019C22⋊D43—44no—
1020C22⋊D43—42no—
1021C22⋊D43—42no—
1022C22⋊D43—44no—
1023C22⋊D43—44no—
1024C22⋊D43—44no—
1025C22⋊D43—44no—
1026C22⋊D43—44no—
1027C22⋊D43—44no—
1028C22⋊D43—44no—
1029C2×Dic43—22no—
1030C2×Dic43—22no—
1031C2×Dic43—22no—
1032C2×Dic43—24no—
1033C2×Dic43—24no—
1034C2×Dic43—22no—
1035C2×Dic43—42no—
1036C2×Dic43—44no—
1037C2×Dic43—42no—
1038C2×Dic43—44no—
1039C2×Dic43—44no—
1040C2×Dic43—42no—
1041C2×Dic43—42no—
1042C2×Dic43—44no—
1043C2×Dic43—42no—
1044C2×Dic43C2514yes—
1045C2×Dic43C2514yes—
1046C2×Dic43C2514yes—
1047C2×Dic43C2512yes—
1048C2×Dic43C2512yes—
1049C2×Dic43C2512yes—
1050C2×Dic43C2514yes—
1051C2×Dic43C2512yes—
1052D172—28no—
1053D172—44no—
1054D172—44no—
1055D172—42no—
1056C4×D43—28no—
1057C4×D43—42no—
1058C4×D43—42no—
1059C4×D43—42no—
1060C4×D43—42no—
1061C4×D43—42no—
1062C4×D43—42no—
1063C4×D43—42no—
1064C4×D43—42no—
1065C4×D43—44no—
1066C4×D43—44no—
1067C4×D43—44no—
1068C4×D43—44no—
1069C4×D43—42no—
1070C4×D43—42no—
1071C4×D43—44no—
1072Dic86—44no—
1073Dic86—44no—
1074Dic86—42no—
1075Dic86—44no—
1076#62820—431nomaximal, Sylow
1077C22×C43—22no—
1078C22×C43—22no—
1079C22×C43—22no—
1080C22×C43—22no—
1081C22×C43—22no—
1082C22×C43—22no—
1083C22×C43—22no—
1084C22×C43—24no—
1085C22×C43—24no—
1086C22×C43—24no—
1087C22×C43—24no—
1088C22×C43—44no—
1089C22×C43—82no—
1090C22×C43—82no—
1091C22×C43—82no—
1092C22×C43—82no—
1093C22×C43—162no—
1094C22×C43C2×H(5,𝔽2)12yes—
1095C22×C43C2×H(5,𝔽2)12yes—
1096C22×C43C2×H(5,𝔽2)12yes—
1097C22×C43C2611yescharacteristic
1098C2×D43—28no—
1099C2×D43—22no—
1100C2×D43—22no—
1101C2×D43—22no—
1102C2×D43—22no—
1103C2×D43—22no—
1104C2×D43—24no—
1105C2×D43—22no—
1106C2×D43—22no—
1107C2×D43—24no—
1108C2×D43—48no—
1109C2×D43—48no—
1110C2×D43—44no—
1111C2×D43—88no—
1112C2×D43—82no—
1113C2×D43—82no—
1114C2×D43—162no—
1115C2×D43#58514yes—
1116C4×C43—22no—
1117C4×C43—22no—
1118C4×C43—22no—
1119C4×C43—22no—
1120C4×C43—22no—
1121C4×C43—22no—
1122C4×C43—24no—
1123C4×C43—24no—
1124Dic43—22no—
1125Dic43—22no—
1126Dic43—22no—
1127Dic43—22no—
1128Dic43—24no—
1129Dic43—24no—
1130Dic43—24no—
1131Dic43—24no—
1132#3535—434no—
1133#3535—434no—
1134#3534—434no—
1135#3534—434no—
1136#3533—434no—
1137#3533—434no—
1138#3513—434no—
1139#3513—434no—
1140#3513—434no—
1141#3513—434no—
1142#3492—434no—
1143#3491—431no—
1144#3491—431no—
1145#3491—431no—
1146#3491—431no—
1147#3490—434no—
1148#3490—431no—
1149#3490—431no—
1150#3485—431no—
1151#3485—431no—
1152#3485—431no—
1153#3485D4311yescharacteristic, complemented
1154#3484—431no—
1155#3484—431no—
1156C2×#525—431no—
1157C2×#525—431no—
1158C22×#123—431no—
1159C2×C43—22no—
1160C2×C43—22no—
1161C2×C43—22no—
1162C2×C43—42no—
1163C2×C43—42no—
1164C2×C43—42no—
1165C2×C43—42no—
1166C2×C43C22×H(5,𝔽2)11yescharacteristic
1167C2×C43C2×#58512yes—
1168D43—24no—
1169D43—42no—
1170D43—42no—
1171D43—42no—
1172C2×H(5,𝔽2)—431no—
1173C2×H(5,𝔽2)C2×D4311yescharacteristic, complemented
1174C22×#41—431no—
1175C22×#41C2×D4311yescharacteristic, complemented
1176C23×D4—431no—
1177C24×C4—431no—
1178#563—434no—
1179#563—434no—
1180#562—434no—
1181#562—434no—
1182#562—434no—
1183#562—434no—
1184#560—434no—
1185#560—434no—
1186#559—434no—
1187#559—434no—
1188#554—434no—
1189#554—434no—
1190#554—434no—
1191#554—434no—
1192#553—434no—
1193#553—434no—
1194#553—434no—
1195#553—434no—
1196#553—434no—
1197#553—434no—
1198#553—434no—
1199#553—434no—
1200#552—434no—
1201#552—434no—
1202#552—434no—
1203#552—434no—
1204#552—434no—
1205#552—434no—
1206#552—434no—
1207#552—434no—
1208#551—434no—
1209#551—434no—
1210#551—434no—
1211#551—434no—
1212#551—434no—
1213#551—434no—
1214#551—434no—
1215#551—434no—
1216#551—434no—
1217#551—434no—
1218#551—434no—
1219#551—434no—
1220#551—434no—
1221#551—434no—
1222#551—434no—
1223#551—434no—
1224#551—434no—
1225#551—434no—
1226#547—434no—
1227#547—434no—
1228#547—434no—
1229#547—434no—
1230#547—434no—
1231#547—434no—
1232#547C2×D4314yescomplemented
1233#547C2×D4314yescomplemented
1234#546—434no—
1235#546—434no—
1236#546—434no—
1237#546—434no—
1238#546—434no—
1239#546—434no—
1240#546—434no—
1241#546—434no—
1242#546—434no—
1243#546—434no—
1244#546—434no—
1245#546—434no—
1246#546—434no—
1247#546—434no—
1248#546—434no—
1249#546—434no—
1250#546—434no—
1251#546—434no—
1252#546C2×D4314yescomplemented
1253#546C2×D4314yescomplemented
1254D42—434no—
1255D42—434no—
1256D42—434no—
1257D42—434no—
1258#544—434no—
1259#543—434no—
1260#543—431no—
1261#543—431no—
1262#542—434no—
1263#542—434no—
1264#542—434no—
1265#542—434no—
1266#540—434no—
1267#540—434no—
1268#540—434no—
1269#540—434no—
1270#539—434no—
1271#539—434no—
1272#539—434no—
1273#539—434no—
1274#539—434no—
1275#539—434no—
1276#539—434no—
1277#539—434no—
1278#539—434no—
1279#539—434no—
1280#539—434no—
1281#539—434no—
1282#538—434no—
1283#538—434no—
1284#538—434no—
1285#538—434no—
1286#538—434no—
1287#538—434no—
1288#538—434no—
1289#538—434no—
1290#538—434no—
1291#538—434no—
1292#537—434no—
1293#536—432no—
1294#536—432no—
1295#536—432no—
1296#536C2×D4312yescomplemented
1297#535—432no—
1298#535—432no—
1299#534—431no—
1300#534—431no—
1301#534—431no—
1302#534—432no—
1303#534—431no—
1304#534—432no—
1305#534—432no—
1306#534—432no—
1307#534—432no—
1308#534—434no—
1309#534C2×D4311yescharacteristic
1310#534C2×D4311yescharacteristic, complemented
1311#534C2×D4312yescomplemented
1312#529—434no—
1313#529—434no—
1314#529—434no—
1315#529—434no—
1316#525—434no—
1317#525—434no—
1318#525—432no—
1319#525—432no—
1320#525—434no—
1321#525—434no—
1322#525—432no—
1323#525—434no—
1324#525—434no—
1325#525—432no—
1326#525—434no—
1327#525—434no—
1328#525—434no—
1329#525—432no—
1330#525—434no—
1331#525C2×D4312yescomplemented
1332C2×#123—431no—
1333C2×#123—431no—
1334C2×#123—431no—
1335C2×#123—432no—
1336C2×#123—431no—
1337C2×#123—431no—
1338C2×#123—432no—
1339C2×#123—434no—
1340C2×#123—434no—
1341C2×#123—434no—
1342C2×#123—434no—
1343C2×#123—432no—
1344C2×#123—432no—
1345C2×#123—432no—
1346C2×#123—431no—
1347C2×#123C2×D4311yescharacteristic, complemented
1348C2×#123C2×D4311yescharacteristic, complemented
1349C2×#123C2×D4312yescomplemented
1350C2×C22⋊Q8—432no—
1351C2×C22⋊Q8—432no—
1352C2×#121—432no—
1353C2×#121—432no—
1354C2×#120—431no—
1355C2×#120—431no—
1356C2×#120—431no—
1357C2×#120—432no—
1358C2×#120—432no—
1359C2×#120—431no—
1360#520—434no—
1361#520—434no—
1362#518—431no—
1363#518—431no—
1364#518—431no—
1365#518—434no—
1366#518—431no—
1367#518—431no—
1368#518—434no—
1369#518C2×D4311yescharacteristic, complemented
1370C2×C4×D4—432no—
1371C2×C4×D4—432no—
1372C2×C4×D4—432no—
1373C2×C4×D4—432no—
1374C2×#117—431no—
1375C2×#117—431no—
1376C22×C4⋊C4—432no—
1377C22×C22⋊C4—431no—
1378C22×C22⋊C4—432no—
1379C43#6282011yescharacteristic, complemented, Sylow
1380C25—431no—
1381C25—431no—
1382H(5,𝔽2)—44no—
1383H(5,𝔽2)—1724no—
1384C2×#41—44no—
1385C2×#41—434no—
1386C2×#41—434no—
1387C2×#41—434no—
1388C2×#41—432no—
1389C2×#41—432no—
1390C2×#41—434no—
1391C2×#41—432no—
1392C2×#41—1724no—
1393C2×#41C22×D4314yes—
1394C2×#41C22×D4312yes—
1395C2×#41C22×D4312yes—
1396C2×#41C22×D4312yes—
1397C2×#41C22×D4314yescomplemented
1398C22×Q8—431no—
1399C22×Q8C22×D4311yescharacteristic, complemented
1400C22×D4—431no—
1401C22×D4—431no—
1402C22×D4—432no—
1403C22×D4—432no—
1404C22×D4—432no—
1405C22×D4—434no—
1406C22×D4—431no—
1407C22×D4—431no—
1408C22×D4—432no—
1409C22×D4—434no—
1410C22×D4—432no—
1411C22×D4—434no—
1412C22×D4—434no—
1413C22×D4—432no—
1414C22×D4—432no—
1415C22×D4—431no—
1416C22×D4—1724no—
1417C22×D4C22×D4311yescharacteristic
1418C22×D4C22×D4311yescharacteristic
1419C22×D4C22×D4311yescharacteristic
1420C22×D4C22×D4311yescharacteristic
1421C22×D4C22×D4312yes—
1422C22×D4C22×D4312yes—
1423C22×D4C22×D4312yes—
1424C22×D4C22×D4311yescharacteristic, complemented
1425C23×C4—431no—
1426C23×C4—431no—
1427C23×C4—432no—
1428C23×C4—432no—
1429C23×C4—431no—
1430C23×C4—432no—
1431C23×C4—432no—
1432C23×C4—431no—
1433C23×C4—432no—
1434C23×C4—432no—
1435C23×C4—432no—
1436C23×C4—1724no—
1437C23×C4C22×D4311yescharacteristic
1438C23×C4C22×D4311yescharacteristic, complemented
1439C23×C4C22×D4311yescharacteristic, complemented
1440C4⋊Q8—434no—
1441C4⋊Q8—434no—
1442C4⋊Q8—434no—
1443C4⋊Q8C22×D4314yescomplemented
1444#127—434no—
1445#127—434no—
1446#126—434no—
1447#126—434no—
1448#126—434no—
1449#126—434no—
1450#126—434no—
1451#126—434no—
1452#126—434no—
1453#126—434no—
1454#126—434no—
1455#126—434no—
1456#126—434no—
1457#126—434no—
1458#126—434no—
1459#126—434no—
1460#126—434no—
1461#126—434no—
1462#126—434no—
1463#126—434no—
1464#126—434no—
1465#126—434no—
1466#125—434no—
1467#125—434no—
1468#125—434no—
1469#125—434no—
1470#125—434no—
1471#125—434no—
1472#125—434no—
1473#125—434no—
1474#125—434no—
1475#125—434no—
1476#125—434no—
1477#125—434no—
1478#124—434no—
1479#124—434no—
1480#124—434no—
1481#124—434no—
1482#124—434no—
1483#124—434no—
1484#124—434no—
1485#124—434no—
1486#124—434no—
1487#124—434no—
1488#124—434no—
1489#124—434no—
1490#124—434no—
1491#124C22×D4314yescomplemented
1492#123—432no—
1493#123—432no—
1494#123—434no—
1495#123—432no—
1496#123—432no—
1497#123—432no—
1498#123—432no—
1499#123—434no—
1500#123—434no—
1501#123—432no—
1502#123—432no—
1503#123—434no—
1504#123—434no—
1505#123—432no—
1506#123—432no—
1507#123—434no—
1508#123—434no—
1509#123—434no—
1510#123—432no—
1511#123—432no—
1512#123—434no—
1513#123—432no—
1514#123—432no—
1515#123—434no—
1516#123—432no—
1517#123—432no—
1518#123—432no—
1519#123—434no—
1520#123—434no—
1521#123—432no—
1522#123—434no—
1523#123—434no—
1524#123—434no—
1525#123—434no—
1526#123—434no—
1527#123—434no—
1528#123—434no—
1529#123—434no—
1530#123—434no—
1531#123—434no—
1532#123—434no—
1533#123—434no—
1534#123—432no—
1535#123—432no—
1536#123—434no—
1537#123—434no—
1538#123—434no—
1539#123—434no—
1540#123—434no—
1541#123—434no—
1542#123—434no—
1543#123—434no—
1544#123—434no—
1545#123—434no—
1546#123—434no—
1547#123—434no—
1548#123—434no—
1549#123—434no—
1550#123—434no—
1551#123—434no—
1552#123—434no—
1553#123C22×D4312yes—
1554#123C22×D4312yes—
1555#123C22×D4314yes—
1556#123C22×D4314yes—
1557#123C22×D4312yes—
1558#123C22×D4312yes—
1559#123C22×D4312yescomplemented
1560#123C22×D4312yescomplemented
1561#123C22×D4312yescomplemented
1562#123C22×D4312yescomplemented
1563#123C22×D4314yescomplemented
1564#123C22×D4314yescomplemented
1565#123C22×D4314yescomplemented
1566C22⋊Q8—434no—
1567C22⋊Q8—434no—
1568C22⋊Q8—434no—
1569C22⋊Q8—434no—
1570C22⋊Q8—434no—
1571C22⋊Q8—434no—
1572C22⋊Q8—434no—
1573C22⋊Q8—434no—
1574C22⋊Q8—434no—
1575C22⋊Q8—434no—
1576C22⋊Q8—434no—
1577C22⋊Q8—434no—
1578C22⋊Q8—434no—
1579C22⋊Q8—434no—
1580C22⋊Q8—434no—
1581C22⋊Q8—434no—
1582C22⋊Q8—434no—
1583C22⋊Q8—434no—
1584C22⋊Q8—434no—
1585C22⋊Q8—434no—
1586C22⋊Q8—434no—
1587C22⋊Q8—434no—
1588C22⋊Q8—434no—
1589C22⋊Q8—434no—
1590C22⋊Q8—434no—
1591C22⋊Q8—434no—
1592C22⋊Q8—434no—
1593C22⋊Q8—434no—
1594C22⋊Q8—434no—
1595C22⋊Q8—434no—
1596C22⋊Q8—434no—
1597C22⋊Q8—434no—
1598C22⋊Q8—434no—
1599C22⋊Q8—434no—
1600C22⋊Q8—434no—
1601C22⋊Q8C22×D4314yescomplemented
1602C22⋊Q8C22×D4314yescomplemented
1603C22⋊Q8C22×D4314yescomplemented
1604#121—434no—
1605#121—434no—
1606#121—434no—
1607#121—434no—
1608#121—434no—
1609#121—434no—
1610#121—434no—
1611#121—434no—
1612#121—434no—
1613#121—434no—
1614#121—434no—
1615#121—434no—
1616#121—434no—
1617#121—434no—
1618#121—434no—
1619#121—434no—
1620#121—434no—
1621#121—434no—
1622#121—434no—
1623#121—434no—
1624#121—434no—
1625#121—434no—
1626#121—434no—
1627#121—434no—
1628#121—434no—
1629#121—434no—
1630#121—434no—
1631#121—434no—
1632#121—434no—
1633#121—434no—
1634#121—434no—
1635#121—434no—
1636#121—434no—
1637#121—434no—
1638#121—434no—
1639#121—434no—
1640#121—434no—
1641#121C22×D4314yes—
1642#121C22×D4314yes—
1643#121C22×D4314yescomplemented
1644#121C22×D4314yescomplemented
1645#121C22×D4314yescomplemented
1646#120—432no—
1647#120—432no—
1648#120—432no—
1649#120—432no—
1650#120—434no—
1651#120—434no—
1652#120—432no—
1653#120—432no—
1654#120—432no—
1655#120—432no—
1656#120—432no—
1657#120—432no—
1658#120—434no—
1659#120—434no—
1660#120—434no—
1661#120—432no—
1662#120—432no—
1663#120—434no—
1664#120—434no—
1665#120—434no—
1666#120—432no—
1667#120—432no—
1668#120—434no—
1669#120—434no—
1670#120—432no—
1671#120—432no—
1672#120—434no—
1673#120—434no—
1674#120—434no—
1675#120C22×D4312yes—
1676#120C22×D4312yes—
1677#120C22×D4312yescomplemented
1678#120C22×D4312yescomplemented
1679#120C22×D4314yescomplemented
1680C4×Q8—434no—
1681C4×Q8—434no—
1682C4×Q8—434no—
1683C4×Q8—434no—
1684C4×D4—434no—
1685C4×D4—434no—
1686C4×D4—434no—
1687C4×D4—434no—
1688C4×D4—434no—
1689C4×D4—434no—
1690C4×D4—434no—
1691C4×D4—434no—
1692C4×D4—434no—
1693C4×D4—434no—
1694C4×D4—434no—
1695C4×D4—434no—
1696C4×D4—434no—
1697C4×D4—434no—
1698C4×D4—434no—
1699C4×D4—434no—
1700C4×D4—434no—
1701C4×D4—434no—
1702C4×D4—434no—
1703C4×D4—434no—
1704C4×D4—434no—
1705C4×D4—434no—
1706C4×D4—434no—
1707C4×D4—434no—
1708C4×D4—434no—
1709C4×D4—434no—
1710C4×D4—434no—
1711C4×D4—434no—
1712C4×D4—434no—
1713C4×D4—434no—
1714C4×D4—434no—
1715C4×D4—434no—
1716C4×D4—434no—
1717C4×D4—434no—
1718C4×D4—434no—
1719C4×D4—434no—
1720C4×D4—434no—
1721C4×D4—434no—
1722C4×D4—434no—
1723C4×D4—434no—
1724C4×D4—434no—
1725C4×D4—434no—
1726C4×D4—434no—
1727C4×D4—434no—
1728C4×D4C22×D4314yes—
1729C4×D4C22×D4314yescomplemented
1730C4×D4C22×D4314yescomplemented
1731C4×D4C22×D4314yescomplemented
1732#117—434no—
1733#117—434no—
1734#117—432no—
1735#117—432no—
1736#117—432no—
1737#117—434no—
1738#117—434no—
1739#117—434no—
1740#117—434no—
1741#117—434no—
1742#117—434no—
1743#117—432no—
1744#117—432no—
1745#117—434no—
1746#117—434no—
1747#117—434no—
1748#117—434no—
1749#117—434no—
1750#117—434no—
1751#117C22×D4312yescomplemented
1752C2×C4⋊C4—432no—
1753C2×C4⋊C4—432no—
1754C2×C4⋊C4—432no—
1755C2×C4⋊C4—432no—
1756C2×C4⋊C4—432no—
1757C2×C4⋊C4—432no—
1758C2×C4⋊C4—432no—
1759C2×C4⋊C4—432no—
1760C2×C4⋊C4—434no—
1761C2×C4⋊C4—434no—
1762C2×C4⋊C4—434no—
1763C2×C4⋊C4—434no—
1764C2×C4⋊C4—434no—
1765C2×C4⋊C4—434no—
1766C2×C4⋊C4—434no—
1767C2×C4⋊C4C22×D4312yes—
1768C2×C4⋊C4C22×D4312yescomplemented
1769C2×C4⋊C4C22×D4314yescomplemented
1770C2×C22⋊C4—431no—
1771C2×C22⋊C4—432no—
1772C2×C22⋊C4—431no—
1773C2×C22⋊C4—431no—
1774C2×C22⋊C4—431no—
1775C2×C22⋊C4—432no—
1776C2×C22⋊C4—432no—
1777C2×C22⋊C4—432no—
1778C2×C22⋊C4—432no—
1779C2×C22⋊C4—432no—
1780C2×C22⋊C4—434no—
1781C2×C22⋊C4—432no—
1782C2×C22⋊C4—432no—
1783C2×C22⋊C4—432no—
1784C2×C22⋊C4—432no—
1785C2×C22⋊C4—432no—
1786C2×C22⋊C4—432no—
1787C2×C22⋊C4—432no—
1788C2×C22⋊C4—432no—
1789C2×C22⋊C4—434no—
1790C2×C22⋊C4—434no—
1791C2×C22⋊C4—434no—
1792C2×C22⋊C4—434no—
1793C2×C22⋊C4—434no—
1794C2×C22⋊C4—434no—
1795C2×C22⋊C4—434no—
1796C2×C22⋊C4—434no—
1797C2×C22⋊C4—432no—
1798C2×C22⋊C4—434no—
1799C2×C22⋊C4—432no—
1800C2×C22⋊C4—434no—
1801C2×C22⋊C4C22×D4311yescharacteristic
1802C2×C22⋊C4C22×D4312yes—
1803C2×C22⋊C4C22×D4311yescharacteristic
1804C2×C22⋊C4C22×D4312yescomplemented
1805C2×C22⋊C4C22×D4314yescomplemented
1806C2×C22⋊C4C22×D4312yescomplemented
1807C2×C42—432no—
1808C2×C42—432no—
1809C24—431no—
1810C24—432no—
1811C24—432no—
1812C24—434no—
1813C24—431no—
1814C24—431no—
1815C24—431no—
1816C24—432no—
1817C24—864no—
1818C24—1722no—
1819C24—1724no—
1820C24—1724no—
1821C24C23×D4311yescharacteristic
1822C24C23×D4311yescharacteristic
1823C24C23×D4311yescharacteristic
1824C24C23×D4311yescharacteristic
1825C24C23×D4312yes—
1826C24C23×D4311yescharacteristic
1827#41—48no—
1828#41—48no—
1829#41—44no—
1830#41—44no—
1831#41—44no—
1832#41—1724no—
1833#41—1728no—
1834#41—1728no—
1835#41—1728no—
1836#41—1724no—
1837#41—1724no—
1838#41—1728no—
1839C2×Q8—42no—
1840C2×Q8—434no—
1841C2×Q8—434no—
1842C2×Q8—434no—
1843C2×Q8—432no—
1844C2×Q8—1722no—
1845C2×Q8C23×D4314yes—
1846C2×Q8C23×D4312yes—
1847C2×D4—24no—
1848C2×D4—24no—
1849C2×D4—24no—
1850C2×D4—24no—
1851C2×D4—42no—
1852C2×D4—44no—
1853C2×D4—44no—
1854C2×D4—44no—
1855C2×D4—434no—
1856C2×D4—434no—
1857C2×D4—434no—
1858C2×D4—432no—
1859C2×D4—432no—
1860C2×D4—432no—
1861C2×D4—432no—
1862C2×D4—434no—
1863C2×D4—434no—
1864C2×D4—434no—
1865C2×D4—434no—
1866C2×D4—434no—
1867C2×D4—434no—
1868C2×D4—434no—
1869C2×D4—434no—
1870C2×D4—432no—
1871C2×D4—434no—
1872C2×D4—432no—
1873C2×D4—434no—
1874C2×D4—434no—
1875C2×D4—432no—
1876C2×D4—434no—
1877C2×D4—864no—
1878C2×D4—864no—
1879C2×D4—1722no—
1880C2×D4—1724no—
1881C2×D4—1722no—
1882C2×D4—1722no—
1883C2×D4—1728no—
1884C2×D4—1728no—
1885C2×D4—1724no—
1886C2×D4—1724no—
1887C2×D4—1728no—
1888C2×D4—1724no—
1889C2×D4—1724no—
1890C2×D4—1724no—
1891C2×D4—1724no—
1892C2×D4—1728no—
1893C2×D4C23×D4312yes—
1894C2×D4C23×D4312yes—
1895C2×D4C23×D4312yes—
1896C2×D4C23×D4312yes—
1897C2×D4C23×D4312yes—
1898C2×D4C23×D4312yes—
1899C2×D4C23×D4312yes—
1900C2×D4C23×D4312yes—
1901C2×D4C23×D4314yes—
1902C2×D4C23×D4314yes—
1903C2×D4C23×D4312yes—
1904C2×D4C23×D4312yes—
1905C2×D4C23×D4314yes—
1906C2×D4C23×D4312yes—
1907C22×C4—24no—
1908C22×C4—42no—
1909C22×C4—42no—
1910C22×C4—431no—
1911C22×C4—432no—
1912C22×C4—432no—
1913C22×C4—431no—
1914C22×C4—431no—
1915C22×C4—431no—
1916C22×C4—432no—
1917C22×C4—432no—
1918C22×C4—432no—
1919C22×C4—432no—
1920C22×C4—434no—
1921C22×C4—434no—
1922C22×C4—434no—
1923C22×C4—434no—
1924C22×C4—432no—
1925C22×C4—434no—
1926C22×C4—434no—
1927C22×C4—432no—
1928C22×C4—432no—
1929C22×C4—432no—
1930C22×C4—432no—
1931C22×C4—434no—
1932C22×C4—434no—
1933C22×C4—432no—
1934C22×C4—434no—
1935C22×C4—434no—
1936C22×C4—432no—
1937C22×C4—432no—
1938C22×C4—432no—
1939C22×C4—432no—
1940C22×C4—432no—
1941C22×C4—864no—
1942C22×C4—1724no—
1943C22×C4—1724no—
1944C22×C4—1724no—
1945C22×C4—1724no—
1946C22×C4—1724no—
1947C22×C4—1724no—
1948C22×C4—1722no—
1949C22×C4—1722no—
1950C22×C4—1724no—
1951C22×C4—1722no—
1952C22×C4C23×D4311yescharacteristic
1953C22×C4C23×D4311yescharacteristic
1954C22×C4C23×D4311yescharacteristic
1955C22×C4C23×D4311yescharacteristic
1956C22×C4C23×D4312yes—
1957C22×C4C23×D4312yes—
1958C22×C4C23×D4311yescharacteristic
1959C22×C4C23×D4311yescharacteristic
1960C22×C4C23×D4312yes—
1961C22×C4C23×D4312yes—
1962C22×C4C23×D4312yes—
1963C22×C4C23×D4314yes—
1964C22×C4C23×D4314yes—
1965C22×C4C23×D4314yes—
1966C22×C4C23×D4312yes—
1967C22×C4C23×D4312yes—
1968C4⋊C4—434no—
1969C4⋊C4—434no—
1970C4⋊C4—434no—
1971C4⋊C4—434no—
1972C4⋊C4—434no—
1973C4⋊C4—434no—
1974C4⋊C4—434no—
1975C4⋊C4—434no—
1976C4⋊C4—434no—
1977C4⋊C4—434no—
1978C4⋊C4—434no—
1979C4⋊C4—434no—
1980C4⋊C4—434no—
1981C4⋊C4—434no—
1982C4⋊C4—434no—
1983C4⋊C4—434no—
1984C4⋊C4—434no—
1985C4⋊C4—434no—
1986C4⋊C4—434no—
1987C4⋊C4—434no—
1988C4⋊C4—434no—
1989C4⋊C4—434no—
1990C4⋊C4—434no—
1991C4⋊C4—434no—
1992C4⋊C4—434no—
1993C4⋊C4—434no—
1994C4⋊C4—434no—
1995C4⋊C4—434no—
1996C4⋊C4—434no—
1997C4⋊C4—434no—
1998C4⋊C4—434no—
1999C4⋊C4C23×D4314yes—
2000C4⋊C4C23×D4314yes—
2001C4⋊C4C23×D4314yes—
2002C4⋊C4C23×D4314yes—
2003C4⋊C4C23×D4314yes—
2004C4⋊C4C23×D4314yes—
2005C4⋊C4C23×D4314yes—
2006C22⋊C4—432no—
2007C22⋊C4—432no—
2008C22⋊C4—434no—
2009C22⋊C4—434no—
2010C22⋊C4—432no—
2011C22⋊C4—432no—
2012C22⋊C4—432no—
2013C22⋊C4—432no—
2014C22⋊C4—432no—
2015C22⋊C4—432no—
2016C22⋊C4—434no—
2017C22⋊C4—434no—
2018C22⋊C4—434no—
2019C22⋊C4—434no—
2020C22⋊C4—434no—
2021C22⋊C4—434no—
2022C22⋊C4—434no—
2023C22⋊C4—434no—
2024C22⋊C4—434no—
2025C22⋊C4—434no—
2026C22⋊C4—434no—
2027C22⋊C4—434no—
2028C22⋊C4—434no—
2029C22⋊C4—434no—
2030C22⋊C4—434no—
2031C22⋊C4—434no—
2032C22⋊C4—434no—
2033C22⋊C4—434no—
2034C22⋊C4—434no—
2035C22⋊C4—434no—
2036C22⋊C4—434no—
2037C22⋊C4—434no—
2038C22⋊C4—434no—
2039C22⋊C4—434no—
2040C22⋊C4—434no—
2041C22⋊C4—434no—
2042C22⋊C4—434no—
2043C22⋊C4—434no—
2044C22⋊C4—434no—
2045C22⋊C4—434no—
2046C22⋊C4—434no—
2047C22⋊C4—434no—
2048C22⋊C4—434no—
2049C22⋊C4C23×D4312yes—
2050C22⋊C4C23×D4314yes—
2051C22⋊C4C23×D4312yes—
2052C22⋊C4C23×D4314yes—
2053C22⋊C4C23×D4312yes—
2054C22⋊C4C23×D4314yes—
2055C22⋊C4C23×D4314yes—
2056C22⋊C4C23×D4312yes—
2057C22⋊C4C23×D4314yes—
2058C22⋊C4C23×D4314yes—
2059C22⋊C4C23×D4314yes—
2060C22⋊C4C23×D4314yes—
2061C22⋊C4C23×D4314yes—
2062C42—434no—
2063C42—434no—
2064C42—434no—
2065C42—434no—
2066C42—434no—
2067C42—434no—
2068C42—434no—
2069C42—434no—
2070C42—434no—
2071C42C23×D4314yes—
2072C23—22no—
2073C23—22no—
2074C23—22no—
2075C23—22no—
2076C23—42no—
2077C23—42no—
2078C23—42no—
2079C23—42no—
2080C23—42no—
2081C23—42no—
2082C23—44no—
2083C23—432no—
2084C23—432no—
2085C23—432no—
2086C23—432no—
2087C23—864no—
2088C23—868no—
2089C23—864no—
2090C23—864no—
2091C23—862no—
2092C23—862no—
2093C23—862no—
2094C23—864no—
2095C23—864no—
2096C23—862no—
2097C23—3448no—
2098C23—1724no—
2099C23—1722no—
2100C23—1722no—
2101C23—1724no—
2102C23—1722no—
2103C23—1722no—
2104C23—1722no—
2105C23—1722no—
2106C23—1724no—
2107C23—17216no—
2108C23#1306337014yes—
2109C23C24×D4312yes—
2110C23C24×D4312yes—
2111C23C24×D4312yes—
2112C23C24×D4312yes—
2113C23C24×D4311yescharacteristic
2114C23C24×D4311yescharacteristic
2115C23C24×D4311yescharacteristic
2116Q8—44no—
2117Q8—42no—
2118Q8—1724no—
2119Q8—1722no—
2120Q8—1724no—
2121Q8—1724no—
2122D4—24no—
2123D4—24no—
2124D4—24no—
2125D4—24no—
2126D4—24no—
2127D4—24no—
2128D4—24no—
2129D4—24no—
2130D4—42no—
2131D4—42no—
2132D4—42no—
2133D4—44no—
2134D4—44no—
2135D4—44no—
2136D4—868no—
2137D4—868no—
2138D4—868no—
2139D4—868no—
2140D4—864no—
2141D4—864no—
2142D4—864no—
2143D4—864no—
2144D4—1724no—
2145D4—1722no—
2146D4—1724no—
2147D4—1724no—
2148D4—1722no—
2149D4—1722no—
2150D4—1724no—
2151D4—1724no—
2152D4—1724no—
2153D4—1724no—
2154D4—1724no—
2155D4—1724no—
2156D4—1724no—
2157D4—1724no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—24no—
2161C2×C4—24no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—44no—
2167C2×C4—44no—
2168C2×C4—42no—
2169C2×C4—42no—
2170C2×C4—42no—
2171C2×C4—42no—
2172C2×C4—42no—
2173C2×C4—44no—
2174C2×C4—434no—
2175C2×C4—434no—
2176C2×C4—434no—
2177C2×C4—432no—
2178C2×C4—434no—
2179C2×C4—432no—
2180C2×C4—432no—
2181C2×C4—432no—
2182C2×C4—868no—
2183C2×C4—862no—
2184C2×C4—862no—
2185C2×C4—864no—
2186C2×C4—864no—
2187C2×C4—862no—
2188C2×C4—862no—
2189C2×C4—1722no—
2190C2×C4—1722no—
2191C2×C4—1722no—
2192C2×C4—1722no—
2193C2×C4—1722no—
2194C2×C4—1722no—
2195C2×C4—1722no—
2196C2×C4—1722no—
2197C2×C4—1724no—
2198C2×C4—1724no—
2199C2×C4—1724no—
2200C2×C4—1722no—
2201C2×C4—1722no—
2202C2×C4—1724no—
2203C2×C4—1724no—
2204C2×C4—1724no—
2205C2×C4—1722no—
2206C2×C4—1722no—
2207C2×C4—1722no—
2208C2×C4—1722no—
2209C2×C4—1722no—
2210C2×C4—1724no—
2211C2×C4—1724no—
2212C2×C4—1724no—
2213C2×C4C24×D4312yes—
2214C2×C4C24×D4314yes—
2215C2×C4C24×D4312yes—
2216C2×C4C24×D4312yes—
2217C2×C4C24×D4312yes—
2218C2×C4C24×D4314yes—
2219C2×C4C24×D4312yes—
2220C2×C4C24×D4312yes—
2221C22—22no—
2222C22—22no—
2223C22—22no—
2224C22—22no—
2225C22—22no—
2226C22—22no—
2227C22—22no—
2228C22—24no—
2229C22—24no—
2230C22—24no—
2231C22—24no—
2232C22—44no—
2233C22—82no—
2234C22—82no—
2235C22—82no—
2236C22—82no—
2237C22—162no—
2238C22—434no—
2239C22—868no—
2240C22—862no—
2241C22—862no—
2242C22—862no—
2243C22—862no—
2244C22—862no—
2245C22—864no—
2246C22—864no—
2247C22—862no—
2248C22—862no—
2249C22—3442no—
2250C22—3442no—
2251C22—3448no—
2252C22—1728no—
2253C22—1728no—
2254C22—1724no—
2255C22—6882no—
2256C22C2×#1306337012yes—
2257C22C2×#1306337012yes—
2258C22C2×#1306337012yes—
2259C22C25×D4311yescharacteristic
2260C4—22no—
2261C4—22no—
2262C4—22no—
2263C4—22no—
2264C4—22no—
2265C4—22no—
2266C4—24no—
2267C4—24no—
2268C4—862no—
2269C4—862no—
2270C4—862no—
2271C4—862no—
2272C4—864no—
2273C4—864no—
2274C4—864no—
2275C4—864no—
2276C2—22no—
2277C2—22no—
2278C2—22no—
2279C2—42no—
2280C2—42no—
2281C2—42no—
2282C2—42no—
2283C2—864no—
2284C2—1722no—
2285C2—1722no—
2286C2—1722no—
2287C2C22×#1306337011yescharacteristic
2288C2#585×D4312yes—
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3485C2
hypercenter#3485D43
hypocenterC43#62820
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3485

Complements

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

NH ≅ G/Ntype
1. #19148796C2semidirect
2. #19148794C2semidirect
3. #19148777C2semidirect
4. #19148775C2semidirect
5. #19148765C2semidirect
6. #19148754C2semidirect
7. #19148530C2semidirect
8. #19148528C2semidirect
9. #19148527C2semidirect
10. #19148521C2semidirect
11. #19148297C2semidirect
12. #19148292C2semidirect
13. #19148291C2semidirect
14. #19148291C2semidirect
15. #19148288C2semidirect
16. #19148283C2semidirect
17. #19148280C2semidirect
18. #19148277C2semidirect
19. #19148239C2semidirect
20. #19148236C2semidirect
21. #19148235C2semidirect
22. #19148227C2semidirect
23. #19148226C2semidirect
24. C2×#14583407C2semidirect
25. C2×#14583406C2semidirect
26. C2×#123×D43C2semidirect
27. C43×#3485C2semidirect
28. C2×#13063370C22semidirect
29. C22×#10621900C22semidirect
31. C23×C4×D43C22semidirect
32. #14583650C22semidirect
33. #14583648C22semidirect
34. #14583646C22semidirect
35. #14583645C22semidirect
36. #14583644C22semidirect
37. #14583643C22semidirect
38. #14583638C22semidirect
39. #14583637C22semidirect
40. #14583633C22semidirect
41. #14583632C22semidirect
42. #14583610C22semidirect
43. #14583604C22semidirect
44. #14583603C22semidirect
45. #14583603C22semidirect
46. #14583599C22semidirect
47. #14583598C22semidirect
48. #14583597C22semidirect
49. #14583596C22semidirect
50. #14583594C22semidirect
51. #14583594C22semidirect
52. #14583594C22semidirect
53. #14583592C22semidirect
54. #14583589C22semidirect
55. #14583586C22semidirect
56. #14583586C22semidirect
57. #14583586C22semidirect
58. #14583586C22semidirect
59. #14583584C22semidirect
60. #14583584C22semidirect
61. #14583582C22semidirect
62. #14583580C22semidirect
63. #14583580C22semidirect
64. #14583579C22semidirect
65. #14583578C22semidirect
66. #14583578C22semidirect
67. #14583578C22semidirect
68. #14583577C22semidirect
69. #14583576C22semidirect
70. #14583576C22semidirect
71. #14583575C22semidirect
72. #14583575C22semidirect
73. #14583575C22semidirect
74. #14583575C22semidirect
75. #14583573C22semidirect
76. #14583572C22semidirect
77. #14583572C22semidirect
78. #14583572C22semidirect
79. #14583572C22semidirect
80. #14583549C22semidirect
81. #14583548C22semidirect
82. #14583548C22semidirect
83. #14583548C22semidirect
84. #14583548C22semidirect
85. #14583547C22semidirect
86. #14583546C22semidirect
87. #14583545C22semidirect
88. #14583543C22semidirect
89. #14583543C22semidirect
90. #14583541C22semidirect
91. #14583539C22semidirect
92. #14583539C22semidirect
93. #14583538C22semidirect
94. #14583538C22semidirect
95. #14583538C22semidirect
96. #14583537C22semidirect
97. #14583537C22semidirect
98. #14583537C22semidirect
99. #14583537C22semidirect
100. #14583536C22semidirect
101. #14583536C22semidirect
102. #14583536C22semidirect
103. #14583536C22semidirect
104. #14583533C22semidirect
105. D4×C22⋊D43C22semidirect
106. D4×C22⋊D43C22semidirect
107. #14583531C22semidirect
108. #14583526C22semidirect
109. #14583525C22semidirect
110. #14583525C22semidirect
111. #14583524C22semidirect
112. #14583523C22semidirect
113. #14583519C22semidirect
114. #14583517C22semidirect
115. #14583513C22semidirect
116. #14583502C22semidirect
117. #14583501C22semidirect
118. #14583499C22semidirect
119. #14583499C22semidirect
120. #14583498C22semidirect
121. #14583496C22semidirect
122. #14583495C22semidirect
123. #14583495C22semidirect
124. #14583495C22semidirect
125. #14583494C22semidirect
126. #14583493C22semidirect
127. #14583493C22semidirect
128. #14583492C22semidirect
129. #14583492C22semidirect
130. #14583491C22semidirect
131. #14583491C22semidirect
132. #14583487C22semidirect
133. #14583486C22semidirect
134. #14583485C22semidirect
135. #14583485C22semidirect
136. #14583484C22semidirect
137. #14583483C22semidirect
138. #14583482C22semidirect
139. #14583482C22semidirect
140. #14583481C22semidirect
141. #14583481C22semidirect
142. #14583478C22semidirect
143. #14583473C22semidirect
144. #14583471C22semidirect
145. #14583470C22semidirect
146. #14583464C22semidirect
147. #14583463C22semidirect
148. #14583460C22semidirect
149. #14583459C22semidirect
150. #14583459C22semidirect
154. #14583458C22semidirect
155. #14583458C22semidirect
156. #14583458C22semidirect
157. #14583458C22semidirect
158. #14583430C22semidirect
159. #14583429C22semidirect
160. #14583426C22semidirect
161. #14583426C22semidirect
162. #14583410C22semidirect
163. #14583409C22semidirect
164. #14583408C22semidirect
165. #14583407C22semidirect
166. #14583407C22semidirect
167. #14583407C22semidirect
168. #14583407C22semidirect
169. #14583407C22semidirect
170. #14583406C22semidirect
171. #14583406C22semidirect
172. #14583406C22semidirect
173. #14583406C22semidirect
174. #14583406C22semidirect
175. #14583406C22semidirect
176. #14583405C22semidirect
177. C2×#13063310C22semidirect
178. C2×#13063309C22semidirect
179. C2×#13063308C22semidirect
180. C2×#13063308C22semidirect
181. C2×#13063308C22semidirect
182. C2×#13063307C22semidirect
183. C2×#13063306C22semidirect
184. C2×#13063306C22semidirect
185. C2×#13063306C22semidirect
186. C2×#13063306C22semidirect
187. #123×D43C22semidirect
188. #123×D43C22semidirect
189. #123×D43C22semidirect
190. #123×D43C22semidirect
191. #123×D43C22semidirect
192. C2×#13063303C22semidirect
193. C2×#13063301C22semidirect
194. C2×#13063298C22semidirect
195. C2×#13063296C22semidirect
196. C2×#13063295C22semidirect
197. C2×#13063293C22semidirect
198. C2×#13063293C22semidirect
199. C2×#13063293C22semidirect
200. C2×#13063293C22semidirect
201. #120×D43C22semidirect
202. #14583380C22semidirect
203. #14583378C22semidirect
204. #14583374C22semidirect
205. #14583374C22semidirect
206. #14583374C22semidirect
207. #14583372C22semidirect
208. #14583372C22semidirect
209. #14583372C22semidirect
210. #14583371C22semidirect
211. C2×#13063287C22semidirect
212. C2×C4×C22⋊D43C22semidirect
213. C2×C4×C22⋊D43C22semidirect
214. C2×(C22⋊D43)⋊C4C22semidirect
215. C2×#13063284C22semidirect
216. C2×#13063281C22semidirect
217. C2×C4⋊C4×D43C22semidirect
218. C2×C22⋊C4×D43C22semidirect
219. C2×C22⋊C4×D43C22semidirect
220. C2×H(5,𝔽2)×C43C22semidirect
221. C22×#41×C43C22semidirect
222. C43×#547C22semidirect
223. C43×#547C22semidirect
224. C43×#546C22semidirect
225. C43×#546C22semidirect
226. C43×#536C22semidirect
228. C43×#534C22semidirect
229. C43×#534C22semidirect
230. C43×#525C22semidirect
231. C2×#123×C43C22semidirect
232. C2×#123×C43C22semidirect
233. C2×#123×C43C22semidirect
234. C43×#518C22semidirect
245. C2×#10621900C23semidirect
246. C22×Dic86C23semidirect
257. C22×C22⋊D43C23semidirect
265. C23×Dic43C23semidirect
275. C22×C4×D43C23semidirect
276. #13063324C23semidirect
277. #13063323C23semidirect
278. #13063323C23semidirect
281. #13063320C23semidirect
282. #13063320C23semidirect
283. #13063320C23semidirect
284. #13063320C23semidirect
285. #13063320C23semidirect
286. #13063320C23semidirect
287. #13063320C23semidirect
288. #13063320C23semidirect
289. #13063319C23semidirect
290. #13063319C23semidirect
291. #13063318C23semidirect
292. #13063318C23semidirect
293. #13063318C23semidirect
294. #13063318C23semidirect
295. #13063318C23semidirect
296. #13063318C23semidirect
297. #13063318C23semidirect
298. #13063318C23semidirect
299. #13063318C23semidirect
300. #13063318C23semidirect
301. #13063317C23semidirect
302. #13063316C23semidirect
303. #13063316C23semidirect
304. #13063316C23semidirect
305. #13063315C23semidirect
306. #13063315C23semidirect
307. #13063315C23semidirect
308. #13063315C23semidirect
309. #13063315C23semidirect
310. #13063315C23semidirect
311. #13063315C23semidirect
312. #13063315C23semidirect
314. #13063314C23semidirect
315. #13063313C23semidirect
316. #13063312C23semidirect
317. #13063312C23semidirect
319. #13063311C23semidirect
320. #13063311C23semidirect
321. #13063311C23semidirect
322. #13063311C23semidirect
323. #13063311C23semidirect
324. #13063311C23semidirect
325. #13063311C23semidirect
332. #13063310C23semidirect
333. #13063310C23semidirect
337. #13063309C23semidirect
338. #13063309C23semidirect
339. #13063309C23semidirect
340. #13063309C23semidirect
349. #13063308C23semidirect
350. #13063308C23semidirect
351. #13063308C23semidirect
352. #13063308C23semidirect
353. #13063308C23semidirect
354. #13063308C23semidirect
355. #13063308C23semidirect
356. #13063308C23semidirect
364. #13063307C23semidirect
365. #13063307C23semidirect
366. #13063307C23semidirect
367. #13063307C23semidirect
368. #13063307C23semidirect
377. #13063306C23semidirect
378. #13063306C23semidirect
379. #13063306C23semidirect
380. #13063306C23semidirect
381. #13063306C23semidirect
382. #13063306C23semidirect
383. #13063306C23semidirect
384. #13063306C23semidirect
385. #13063306C23semidirect
386. #13063306C23semidirect
388. #13063305C23semidirect
389. #13063305C23semidirect
391. #13063304C23semidirect
392. #13063304C23semidirect
393. #13063304C23semidirect
394. #13063304C23semidirect
395. #13063304C23semidirect
400. #13063303C23semidirect
401. #13063303C23semidirect
402. #13063303C23semidirect
403. #13063303C23semidirect
405. #13063302C23semidirect
406. #13063302C23semidirect
407. #13063302C23semidirect
408. #13063302C23semidirect
409. #13063302C23semidirect
410. #13063302C23semidirect
411. #13063302C23semidirect
412. #13063302C23semidirect
413. #13063302C23semidirect
417. #13063301C23semidirect
418. #13063301C23semidirect
419. #13063301C23semidirect
420. #13063301C23semidirect
421. #13063301C23semidirect
425. #13063299C23semidirect
426. #13063299C23semidirect
433. #13063298C23semidirect
434. #13063298C23semidirect
435. #13063298C23semidirect
436. #13063298C23semidirect
444. #13063297C23semidirect
445. #13063297C23semidirect
446. #13063297C23semidirect
447. #13063297C23semidirect
448. #13063297C23semidirect
449. #13063297C23semidirect
450. #13063297C23semidirect
455. #13063296C23semidirect
456. #13063296C23semidirect
457. #13063296C23semidirect
458. #13063296C23semidirect
468. #13063294C23semidirect
469. #13063294C23semidirect
485. #13063293C23semidirect
486. #13063293C23semidirect
487. #13063293C23semidirect
488. C4×Dic86C23semidirect
489. #13063290C23semidirect
490. #13063290C23semidirect
491. #13063290C23semidirect
497. D4×Dic43C23semidirect
498. D4×Dic43C23semidirect
499. D4×Dic43C23semidirect
500. D4×Dic43C23semidirect
504. #13063287C23semidirect
505. #13063287C23semidirect
515. C4×C22⋊D43C23semidirect
516. C4×C22⋊D43C23semidirect
517. C4×C22⋊D43C23semidirect
518. C4×C22⋊D43C23semidirect
519. C4×C22⋊D43C23semidirect
520. C4×C22⋊D43C23semidirect
521. C4×C22⋊D43C23semidirect
522. C4×C22⋊D43C23semidirect
523. C4×C22⋊D43C23semidirect
530. (C22⋊D43)⋊C4C23semidirect
531. (C22⋊D43)⋊C4C23semidirect
532. (C22⋊D43)⋊C4C23semidirect
533. (C22⋊D43)⋊C4C23semidirect
534. (C22⋊D43)⋊C4C23semidirect
535. (C22⋊D43)⋊C4C23semidirect
538. #13063284C23semidirect
539. #13063284C23semidirect
540. #13063284C23semidirect
541. #13063284C23semidirect
543. #13063283C23semidirect
544. #13063283C23semidirect
546. #13063282C23semidirect
549. #13063281C23semidirect
550. #13063281C23semidirect
551. #13063281C23semidirect
552. #13063281C23semidirect
553. #13063281C23semidirect
554. #13063281C23semidirect
556. C2×C4⋊Dic43C23semidirect
559. C2×Dic43⋊C4C23semidirect
560. C2×Dic43⋊C4C23semidirect
561. C2×Dic43⋊C4C23semidirect
562. C2×Dic43⋊C4C23semidirect
563. C2×Dic43⋊C4C23semidirect
564. C2×Dic43⋊C4C23semidirect
569. C4⋊C4×D43C23semidirect
576. C2×C22⋊Dic43C23semidirect
577. C2×C22⋊Dic43C23semidirect
578. C2×C22⋊Dic43C23semidirect
579. C2×C22⋊Dic43C23semidirect
580. C2×C22⋊Dic43C23semidirect
589. C2×(C2×D43)⋊C4C23semidirect
590. C2×(C2×D43)⋊C4C23semidirect
599. C22⋊C4×D43C23semidirect
600. C22⋊C4×D43C23semidirect
601. C2×C4×Dic43C23semidirect
602. C2×C4×Dic43C23semidirect
609. C2×#41×C43C23semidirect
610. C22×Q8×C43C23semidirect
618. C22×D4×C43C23semidirect
620. C23×C4×C43C23semidirect
621. C23×C4×C43C23semidirect
622. C4⋊Q8×C43C23semidirect
623. #124×C43C23semidirect
630. #123×C43C23semidirect
631. #123×C43C23semidirect
632. #123×C43C23semidirect
633. #123×C43C23semidirect
634. #123×C43C23semidirect
635. #123×C43C23semidirect
636. #123×C43C23semidirect
637. C22⋊Q8×C43C23semidirect
638. C22⋊Q8×C43C23semidirect
639. C22⋊Q8×C43C23semidirect
642. #121×C43C23semidirect
643. #121×C43C23semidirect
644. #121×C43C23semidirect
647. #120×C43C23semidirect
648. #120×C43C23semidirect
649. #120×C43C23semidirect
651. C4×D4×C43C23semidirect
652. C4×D4×C43C23semidirect
653. C4×D4×C43C23semidirect
654. #117×C43C23semidirect
656. C2×C4⋊C4×C43C23semidirect
657. C2×C4⋊C4×C43C23semidirect
661. C2×C22⋊C4×C43C23semidirect
662. C2×C22⋊C4×C43C23semidirect
663. C2×C22⋊C4×C43C23semidirect
1153. #3485D43semidirect
1173. C2×H(5,𝔽2)C2×D43semidirect
1175. C22×#41C2×D43semidirect
1232. #547C2×D43semidirect
1233. #547C2×D43semidirect
1252. #546C2×D43semidirect
1253. #546C2×D43semidirect
1296. #536C2×D43semidirect
1310. #534C2×D43semidirect
1311. #534C2×D43semidirect
1331. #525C2×D43semidirect
1347. C2×#123C2×D43semidirect
1348. C2×#123C2×D43semidirect
1349. C2×#123C2×D43semidirect
1369. #518C2×D43semidirect
1379. C43#62820semidirect
1397. C2×#41C22×D43semidirect
1399. C22×Q8C22×D43semidirect
1424. C22×D4C22×D43semidirect
1438. C23×C4C22×D43semidirect
1439. C23×C4C22×D43semidirect
1443. C4⋊Q8C22×D43semidirect
1491. #124C22×D43semidirect
1559. #123C22×D43semidirect
1560. #123C22×D43semidirect
1561. #123C22×D43semidirect
1562. #123C22×D43semidirect
1563. #123C22×D43semidirect
1564. #123C22×D43semidirect
1565. #123C22×D43semidirect
1601. C22⋊Q8C22×D43semidirect
1602. C22⋊Q8C22×D43semidirect
1603. C22⋊Q8C22×D43semidirect
1643. #121C22×D43semidirect
1644. #121C22×D43semidirect
1645. #121C22×D43semidirect
1677. #120C22×D43semidirect
1678. #120C22×D43semidirect
1679. #120C22×D43semidirect
1729. C4×D4C22×D43semidirect
1730. C4×D4C22×D43semidirect
1731. C4×D4C22×D43semidirect
1751. #117C22×D43semidirect
1768. C2×C4⋊C4C22×D43semidirect
1769. C2×C4⋊C4C22×D43semidirect
1804. C2×C22⋊C4C22×D43semidirect
1805. C2×C22⋊C4C22×D43semidirect
1806. C2×C22⋊C4C22×D43semidirect

Maximal subgroups

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

subgroupindex
#191487962
#191487942
#191487772
#191487752
#191487652
#191487542
#191485302
#191485282
#191485272
#191485212
#191482972
#191482922
#191482912
#191482882
#191482832
#191482802
#191482772
#191482392
#191482362
#191482352
#191482272
#191482262
C2×#145834072
C2×#145834062
C2×#123×D432
C43×#34852
#6282043