Finite Group Databasebeta

← #11664221

Subgroups — #11664221

Order 768.

1990 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86510C211yesmaximal, characteristic, complemented
2#85887C211yesmaximal, characteristic
3C3×#3120C211yesmaximal, characteristic, complemented
4#83451C211yesmaximal, characteristic, complemented
5#82575C211yesmaximal, characteristic, complemented
6#81470C211yesmaximal, characteristic, complemented
7#81452C211yesmaximal, characteristic, complemented
8#81429C211yesmaximal, characteristic, complemented
9#81414C211yesmaximal, characteristic, complemented
10#81230C211yesmaximal, characteristic, complemented
11#81211C211yesmaximal, characteristic, complemented
12#81165C211yesmaximal, characteristic, complemented
13#81145C211yesmaximal, characteristic, complemented
14D3×#462C211yesmaximal, characteristic, complemented
15#80461C211yesmaximal, characteristic, complemented
16#80429C211yesmaximal, characteristic, complemented
17#80412C211yesmaximal, characteristic, complemented
18#80230C211yesmaximal, characteristic
19#80230C211yesmaximal, characteristic
20#80215C211yesmaximal, characteristic, complemented
21#80213C211yesmaximal, characteristic, complemented
22#79833C211yesmaximal, characteristic, complemented
23#79831C211yesmaximal, characteristic, complemented
24#79783C211yesmaximal, characteristic, complemented
25#79776C211yesmaximal, characteristic, complemented
26#79722C211yesmaximal, characteristic, complemented
27#79720C211yesmaximal, characteristic, complemented
28#79655C211yesmaximal, characteristic, complemented
29#79648C211yesmaximal, characteristic, complemented
30#79396C211yesmaximal, characteristic, complemented
31#79375C211yesmaximal, characteristic, complemented
32#60594—31nomaximal, Sylow
33C2×#1010C2211yescharacteristic
34C3×#541C2211yescharacteristic
35C3×#520C2211yescharacteristic
36Dic3×#41C2211yescharacteristic
37C2×D3×Q16C2211yescharacteristic
38C2×D3×Q16C2211yescharacteristic
39C2×#915C2211yescharacteristic
40C2×#915C2211yescharacteristic
41#5731C2211yescharacteristic
42D3×C4⋊Q8C2211yescharacteristic
43#5708—21no—
44#5708—21no—
45#5702—21no—
46#5702—21no—
47#5698C2211yescharacteristic
48#5693—21no—
49#5693—21no—
50#5688C2211yescharacteristic
51#5685—21no—
52#5685—21no—
53#5628C2211yescharacteristic
54#5628C2211yescharacteristic
55#5622C2211yescharacteristic
56#5622C2211yescharacteristic
57#5578C2211yescharacteristic
58#5578C2211yescharacteristic
59#5572C2211yescharacteristic
60#5572C2211yescharacteristic
61#5572C2211yescharacteristic
62#5572C2211yescharacteristic
63C4×D3×Q8C2211yescharacteristic
64C4×D3×Q8C2211yescharacteristic
65#5546—21no—
66#5546—21no—
67#5546C2211yescharacteristic
68#5546C2211yescharacteristic
69C4×#237—21no—
70C4×#237—21no—
71C4×#237C2211yescharacteristic
72C4×#237C2211yescharacteristic
73#5522—21no—
74#5522C2211yescharacteristic
75#5518C2211yescharacteristic
76#5516—21no—
77#5516C2211yescharacteristic
78#5504—21no—
79#5504C2211yescharacteristic
80C2×#887—21no—
81C2×#887C2211yescharacteristic
82C3×#484C2211yescharacteristic
83C3×#483C2211yescharacteristic
84C3×#479C2211yescharacteristic
85C3×#478C2211yescharacteristic
86C3×#462C2211yescharacteristic
87C3×#461C2211yescharacteristic
88C3×#452C2211yescharacteristic
89C3×#452C2211yescharacteristic
90C3×#441C2211yescharacteristic
91C3×#440C2211yescharacteristic
92C3×C4×Q16C2211yescharacteristic
93C3×C4×SD16C2211yescharacteristic
94C3×#433C2211yescharacteristic
95#5239C2211yescharacteristic
96#5239C2211yescharacteristic
97#5186C2211yescharacteristic
98#5186C2211yescharacteristic
99#5184C2211yescharacteristic
100#5182C2211yescharacteristic
101#5182C2211yescharacteristic
102Dic3×Q16C2211yescharacteristic
103#5173C2211yescharacteristic
104#5173C2211yescharacteristic
105#5164C2211yescharacteristic
106#5162C2211yescharacteristic
107#5162C2211yescharacteristic
108Dic3×SD16C2211yescharacteristic
109#5090C2211yescharacteristic
110#5090C2211yescharacteristic
111#5063C2211yescharacteristic
112#5063C2211yescharacteristic
113#5050C2211yescharacteristic
114#5050C2211yescharacteristic
115#5045C2211yescharacteristic
116#5045C2211yescharacteristic
117#5031C2211yescharacteristic
118#5030C2211yescharacteristic
119#5030C2211yescharacteristic
120#5030C2211yescharacteristic
121C4×#216C2211yescharacteristic
122C4×#216C2211yescharacteristic
123C4×#216C2211yescharacteristic
124#5022C2211yescharacteristic
125#5019C2211yescharacteristic
126#5018C2211yescharacteristic
127C4×#214C2211yescharacteristic
128#5009C2211yescharacteristic
129#5000C2211yescharacteristic
130#4971C2211yescharacteristic
131#4970C2211yescharacteristic
132#4888C2211yescharacteristic
133#4884C2211yescharacteristic
134#4881C2211yescharacteristic
135#4880C2211yescharacteristic
136#4875C2211yescharacteristic
137#4875C2211yescharacteristic
138#4873C2211yescharacteristic
139#4873C2211yescharacteristic
140#4868C2211yescharacteristic
141#4862C2211yescharacteristic
142#4861C2211yescharacteristic
143#4860C2211yescharacteristic
144#4854C2211yescharacteristic
145#4854C2211yescharacteristic
146#4853C2211yescharacteristic
147#4853C2211yescharacteristic
148#4849C2211yescharacteristic
149#4849C2211yescharacteristic
150#4840C2211yescharacteristic
151#4840C2211yescharacteristic
152#4837C2211yescharacteristic
153D3×C4⋊C8C2211yescharacteristic
154#4829C2211yescharacteristic
155#4829C2211yescharacteristic
156#4815C2211yescharacteristic
157#4814C2211yescharacteristic
158#4811C2211yescharacteristic
159#4809C2211yescharacteristic
160#4809C2211yescharacteristic
161#4805C2211yescharacteristic
162#4802C2211yescharacteristic
163#4802C2211yescharacteristic
164#4802C2211yescharacteristic
165#4802C2211yescharacteristic
166D3×#103C2211yescharacteristic
167D3×#103C2211yescharacteristic
168#4795C2211yescharacteristic
169#4795C2211yescharacteristic
170#4795C2211yescharacteristic
171#4795C2211yescharacteristic
172#4793C2211yescharacteristic
173#4791C2211yescharacteristic
174#4790C2211yescharacteristic
175#4790C2211yescharacteristic
176#4790C2211yescharacteristic
177#4789C2211yescharacteristic
178#4789C2211yescharacteristic
179#4789C2211yescharacteristic
180#4783C2211yescharacteristic
181#4783C2211yescharacteristic
182#4772C2211yescharacteristic
183#4772C2211yescharacteristic
184#4761C2211yescharacteristic
185#4759C2211yescharacteristic
186#4758C2211yescharacteristic
187#4757C2211yescharacteristic
188#4739C2211yescharacteristic
189#4739C2211yescharacteristic
190#4727C2211yescharacteristic
191#4727C2211yescharacteristic
192#4723C2211yescharacteristic
193#4723C2211yescharacteristic
194#4719C2211yescharacteristic
195#4718C2211yescharacteristic
196#4716C2211yescharacteristic
197#4716C2211yescharacteristic
198#4708C2211yescharacteristic
199#4705C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201C4×Dic12C2211yescharacteristic
202#4689C2211yescharacteristic
203#4685C2211yescharacteristic
204#3509—31no—
205C4×2−1+4—31no—
206#3127—31no—
207#3127—31no—
208#3127—31no—
209#3127—31no—
210#3120—31no—
211#3120—31no—
212#3120—31no—
213#3120D311yescharacteristic, complemented
214#3116—31no—
215#3116—31no—
216#3113—31no—
217#3113—31no—
218#3107—31no—
219#3107—31no—
220#3104—31no—
221#3104—31no—
222#3097—31no—
223#3097—31no—
224#3078—31no—
225#3076—31no—
226#3039—31no—
227C2×#462—31no—
228#3011—31no—
229#3011—31no—
230#2950—31no—
231#2950—31no—
232#2947—31no—
233#2947—31no—
234#2925—31no—
235C2×C3×#41C2311yescharacteristic
236#1010—24no—
237#1010—24no—
238C2×D3×Q8C2311yescharacteristic
239C2×D3×Q8C2311yescharacteristic
240C2×D3×Q8C2311yescharacteristic
241C2×D3×Q8C2311yescharacteristic
242C2×#237—21no—
243C2×#237—21no—
244C2×#237C2311yescharacteristic
245C2×#237C2311yescharacteristic
246C2×#235—21no—
247C2×#235C2311yescharacteristic
248C22×Dic6—21no—
249C22×Dic6C2311yescharacteristic
250C2×C3×Q16C2311yescharacteristic
251C2×C3×Q16C2311yescharacteristic
252C2×C3×SD16C2311yescharacteristic
253C2×C3×SD16C2311yescharacteristic
254C3×C4⋊Q8C2311yescharacteristic
255C3×#126—21no—
256C3×#126—21no—
257C3×#125—21no—
258C3×#125—21no—
259C3×#125C2311yescharacteristic
260C3×C22⋊Q8C2311yescharacteristic
261C3×C22⋊Q8C2311yescharacteristic
262C3×C4×Q8C2311yescharacteristic
263C3×C4×Q8C2311yescharacteristic
264C3×C4×Q8C2311yescharacteristic
265C3×C4×Q8C2311yescharacteristic
266C3×C4×D4—21no—
267C3×C4×D4—21no—
268C3×C4×D4C2311yescharacteristic
269C3×C4×D4C2311yescharacteristic
270C3×#117—21no—
271C3×#117C2311yescharacteristic
272C2×C3×C4⋊C4—21no—
273C2×C3×C4⋊C4C2311yescharacteristic
274#946C2311yescharacteristic
275#946C2311yescharacteristic
276Q8×Dic3C2311yescharacteristic
277Q8×Dic3C2311yescharacteristic
278Q8×Dic3C2311yescharacteristic
279Q8×Dic3C2311yescharacteristic
280#944C2311yescharacteristic
281#944C2311yescharacteristic
282C2×#216C2311yescharacteristic
283C2×#216C2311yescharacteristic
284C2×#216C2311yescharacteristic
285C2×#216C2311yescharacteristic
286C2×#216C2311yescharacteristic
287C2×#216C2311yescharacteristic
288D4×Dic3—21no—
289D4×Dic3—21no—
290D4×Dic3C2311yescharacteristic
291D4×Dic3C2311yescharacteristic
292C2×#214C2311yescharacteristic
293C2×#214C2311yescharacteristic
294C4×#67—21no—
295C4×#67—21no—
296C4×#67—21no—
297C4×#67—21no—
298C4×#67—21no—
299C4×#67—21no—
300#926—21no—
301#926C2311yescharacteristic
302#924C2311yescharacteristic
303#924C2311yescharacteristic
304C2×Dic3⋊C4—21no—
305C2×Dic3⋊C4—21no—
306C2×Dic3⋊C4—21no—
307C2×C4×Dic3—21no—
308C2×C4×Dic3—21no—
309C2×C4×Dic3—21no—
310C2×C4×Dic3—21no—
311C2×C4×Dic3C2311yescharacteristic
312D3×Q16—24no—
313D3×Q16—24no—
314#915—24no—
315#915—24no—
316C2×Dic12C2311yescharacteristic
317C2×Dic12C2311yescharacteristic
318C2×Dic12C2311yescharacteristic
319C2×Dic12C2311yescharacteristic
320C2×ΓL(1,𝔽25)C2311yescharacteristic
321C2×ΓL(1,𝔽25)C2311yescharacteristic
322C2×D3×C8C2311yescharacteristic
323C2×D3×C8C2311yescharacteristic
324#898—21no—
325#898—21no—
326#898—21no—
327#898—21no—
328#897C2311yescharacteristic
329#897C2311yescharacteristic
330#896—21no—
331#896—21no—
332#896—21no—
333#896—21no—
334#894—21no—
335#894—21no—
336#893—21no—
337#893D411yescharacteristic
338#893D411yescharacteristic
339#892—21no—
340#892—21no—
341#892—21no—
342#892—21no—
343#892C2311yescharacteristic
344#892C2311yescharacteristic
345#892C2311yescharacteristic
346#892C2311yescharacteristic
347D3×C4⋊C4—21no—
348D3×C4⋊C4—21no—
349D3×C4⋊C4—21no—
350D3×C4⋊C4—21no—
351D3×C4⋊C4C2311yescharacteristic
352D3×C4⋊C4C2311yescharacteristic
353#890—21no—
354#890—21no—
355#889—21no—
356#889—21no—
357#889—21no—
358#889—21no—
359#889—21no—
360#889—21no—
361#889—21no—
362#889—21no—
363#888—21no—
364#888—21no—
365#888—21no—
366#888—21no—
367#888C2311yescharacteristic
368#888C2311yescharacteristic
369#887—21no—
370#887—21no—
371#887—21no—
372#887—21no—
373#887—21no—
374#887—21no—
375#887—21no—
376#887—21no—
377#887—21no—
378#887—21no—
379#887—21no—
380#887—21no—
381#887—21no—
382#887—21no—
383#887—21no—
384#887D411yescharacteristic
385#887D411yescharacteristic
386#887C2311yescharacteristic
387#887C2311yescharacteristic
388#887C2311yescharacteristic
389#887C2311yescharacteristic
390#887C2311yescharacteristic
391#887C2311yescharacteristic
392#885—21no—
393#885—21no—
394#883—21no—
395#883—21no—
396#67⋊C4—21no—
397#67⋊C4—21no—
398#67⋊C4—21no—
399#67⋊C4—21no—
400#67⋊C4D411yescharacteristic
401#67⋊C4D411yescharacteristic
402#67⋊C4D411yescharacteristic
403#67⋊C4D411yescharacteristic
404#879—21no—
405#879—21no—
406#878—21no—
407#878—21no—
408#877—21no—
409#877—21no—
410#877—21no—
411#877—21no—
412#877—21no—
413#877—21no—
414#877—21no—
415#877—21no—
416#872—21no—
417#872—21no—
418#872—21no—
419#872—21no—
420#872—21no—
421#872—21no—
422#872C2311yescharacteristic
423#872C2311yescharacteristic
424C42×D3—21no—
425C42×D3—21no—
426C42×D3C2311yescharacteristic
427C42×D3C2311yescharacteristic
428#870C2311yescharacteristic
429#869C2311yescharacteristic
430C4×Dic6—21no—
431C4×Dic6—21no—
432C4×Dic6—21no—
433C4×Dic6—21no—
434C4×Dic6—21no—
435C4×Dic6—21no—
436C4×Dic6—21no—
437C4×Dic6—21no—
438C4×Dic6C2311yescharacteristic
439C4×Dic6C2311yescharacteristic
440C4×Dic6C2311yescharacteristic
441C4×Dic6C2311yescharacteristic
442C4×Dic6C2311yescharacteristic
443C4×Dic6C2311yescharacteristic
444C3×#107C2311yescharacteristic
445C3×#107C2311yescharacteristic
446C3×#106C2311yescharacteristic
447C3×#106C2311yescharacteristic
448C3×C4⋊C8C2311yescharacteristic
449C3×C4⋊C8C2311yescharacteristic
450C3×#103C2311yescharacteristic
451C3×#103C2311yescharacteristic
452C3×#103C2311yescharacteristic
453C3×#103C2311yescharacteristic
454C3×#103C2311yescharacteristic
455C3×#103C2311yescharacteristic
456C3×#102C2311yescharacteristic
457C3×#102C2311yescharacteristic
458C3×C22⋊C8C2311yescharacteristic
459C3×C22⋊C8C2311yescharacteristic
460C3×#97C2311yescharacteristic
461C3×C4×C8C2311yescharacteristic
462#835C2311yescharacteristic
463#835C2311yescharacteristic
464#835C2311yescharacteristic
465#835C2311yescharacteristic
466#835C2311yescharacteristic
467#835C2311yescharacteristic
468#832C2311yescharacteristic
469#832C2311yescharacteristic
470#830C2311yescharacteristic
471#830C2311yescharacteristic
472(C2×D3)⋊C8C2311yescharacteristic
473(C2×D3)⋊C8C2311yescharacteristic
474(C2×D3)⋊C8C2311yescharacteristic
475(C2×D3)⋊C8C2311yescharacteristic
476#818C2311yescharacteristic
477#818C2311yescharacteristic
478#817C2311yescharacteristic
479#817C2311yescharacteristic
480#816C2311yescharacteristic
481#816C2311yescharacteristic
482#816C2311yescharacteristic
483#816C2311yescharacteristic
484#816C2311yescharacteristic
485#816C2311yescharacteristic
486#816C2311yescharacteristic
487#816C2311yescharacteristic
488#815C2311yescharacteristic
489#815C2311yescharacteristic
490Dic3⋊C8C2311yescharacteristic
491Dic3⋊C8C2311yescharacteristic
492Dic3⋊C8C2311yescharacteristic
493Dic3⋊C8C2311yescharacteristic
494C8×Dic3C2311yescharacteristic
495C8×Dic3C2311yescharacteristic
496#810C2311yescharacteristic
497#810C2311yescharacteristic
498#810C2311yescharacteristic
499#810C2311yescharacteristic
500#810C2311yescharacteristic
501#810C2311yescharacteristic
502#810C2311yescharacteristic
503#810C2311yescharacteristic
504#808C2311yescharacteristic
505#808C2311yescharacteristic
506#808C2311yescharacteristic
507#808C2311yescharacteristic
508#807C2311yescharacteristic
509#807C2311yescharacteristic
510#807C2311yescharacteristic
511#807C2311yescharacteristic
512C4⋊(C3⋊C8)C2311yescharacteristic
513C4⋊(C3⋊C8)C2311yescharacteristic
514#803C2311yescharacteristic
515C4×C3⋊C8C2311yescharacteristic
516C2×2−1+4—31no—
517C2×#137—31no—
518C2×#137—31no—
519C22×Q16—31no—
520C22×Q16—31no—
521#557—61no—
522#557—61no—
523#556—61no—
524#556—61no—
525#552—61no—
526#552—61no—
527#552—61no—
528#552—61no—
529#541—31no—
530#541—31no—
531#541—31no—
532#541C2×D311yescharacteristic
533#536—31no—
534#536—31no—
535#533—31no—
536#533—31no—
537#533—31no—
538#533—31no—
539#533—31no—
540C2×C4⋊Q8—31no—
541#520—31no—
542#520—31no—
543#520—31no—
544#520—61no—
545#520—61no—
546#520—61no—
547#520C2×D311yescharacteristic
548#519—31no—
549#519—31no—
550#519—31no—
551#519—31no—
552#519—31no—
553#519—61no—
554C4×#41—31no—
555C4×#41—31no—
556C4×#41—31no—
557C4×#41—31no—
558C4×#41—61no—
559C4×#41—61no—
560C4×#41—61no—
561C2×C4×Q8—31no—
562C2×C4×Q8—31no—
563C2×C4×Q8—31no—
564C2×C4×Q8—61no—
565#485—31no—
566#485—31no—
567#485—31no—
568#485—31no—
569#485—31no—
570#485—31no—
571#485—31no—
572#485—31no—
573#484—31no—
574#484—31no—
575#484—31no—
576#484C2×D311yescharacteristic
577#483—31no—
578#483—31no—
579#483—31no—
580#483C2×D311yescharacteristic
581#479—31no—
582#479—31no—
583#479—31no—
584#479—31no—
585#479—31no—
586#479C2×D311yescharacteristic
587#478—31no—
588#478C2×D311yescharacteristic
589#477—31no—
590#477—31no—
591#477—31no—
592#476—31no—
593#475—31no—
594#475—31no—
595#475—31no—
596#474—31no—
597#462—31no—
598#462—31no—
599#462—31no—
600#462—31no—
601#462—31no—
602#462—31no—
603#462—31no—
604#462—31no—
605#462—31no—
606#462—31no—
607#462—31no—
608#462C2×D311yescharacteristic
609#461—31no—
610#461—31no—
611#461—31no—
612#461C2×D311yescharacteristic
613#452—31no—
614#452—31no—
615#452—31no—
616#452—31no—
617#452—31no—
618#452—31no—
619#452C2×D311yescharacteristic
620#452C2×D311yescharacteristic
621#451—31no—
622#451—31no—
623#451—31no—
624#451—31no—
625#451—31no—
626#451—31no—
627#451—31no—
628#451—31no—
629#441—31no—
630#441—31no—
631#441—31no—
632#441—31no—
633#441—31no—
634#441—31no—
635#441—31no—
636#441—31no—
637#441—31no—
638#441—31no—
639#441—31no—
640#441C2×D311yescharacteristic
641#440—31no—
642#440—31no—
643#440—31no—
644#440C2×D311yescharacteristic
645C4×Q16—31no—
646C4×Q16—31no—
647C4×Q16—31no—
648C4×Q16—31no—
649C4×Q16—31no—
650C4×Q16—31no—
651C4×Q16—31no—
652C4×Q16—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×Q16—31no—
656C4×Q16C2×D311yescharacteristic
657C4×SD16—31no—
658C4×SD16—31no—
659C4×SD16—31no—
660C4×SD16C2×D311yescharacteristic
661#433—31no—
662#433—31no—
663#433—31no—
664#433C2×D311yescharacteristic
665#432—31no—
666#432—31no—
667#431—31no—
668#431—31no—
669#428—31no—
670#428—31no—
671#427—31no—
672#427—31no—
673#423—31no—
674C2×C4⋊C8—31no—
675#419—31no—
676#419—31no—
677#419—31no—
678#419—31no—
679#416—31no—
680#416—31no—
681C2×#103—31no—
682C2×#103—31no—
683#408—31no—
684#408—31no—
685#405—31no—
686#405—31no—
687C3×#41—22no—
688C3×#41—22no—
689C2×C3×Q8C2411yescharacteristic
690C2×C3×Q8C2411yescharacteristic
691C2×C3×Q8C2411yescharacteristic
692C2×C3×D4—21no—
693C2×C3×D4C2411yescharacteristic
694C22×C3×C4—21no—
695C22×C3×C4—21no—
696C22×C3×C4—21no—
697C22×C3×C4—21no—
698C22×C3×C4C2411yescharacteristic
699C2×#67—21no—
700C2×#67—21no—
701C2×#67C2×D411yescharacteristic
702C2×#67C2×D411yescharacteristic
703C22×Dic3—21no—
704C22×Dic3—21no—
705C22×Dic3—21no—
706C22×Dic3—21no—
707C22×Dic3—21no—
708C22×Dic3C2×D411yescharacteristic
709C22×Dic3C2×D411yescharacteristic
710D3×Q8—22no—
711D3×Q8—22no—
712D3×Q8—22no—
713D3×Q8—22no—
714D3×Q8—22no—
715D3×Q8—22no—
716D3×Q8—22no—
717D3×Q8#4114yes—
718#237—28no—
719#237—28no—
720#237—22no—
721#237—22no—
722#237—22no—
723#237#4114yes—
724#235—28no—
725#235—22no—
726#235—22no—
727C2×D12C2×D411yescharacteristic
728C2×C4×D3—21no—
729C2×C4×D3—21no—
730C2×C4×D3—21no—
731C2×C4×D3—21no—
732C2×C4×D3—21no—
733C2×C4×D3—21no—
734C2×C4×D3C2×D411yescharacteristic
735C2×C4×D3C2×D411yescharacteristic
736C2×C4×D3C2×D411yescharacteristic
737C2×C4×D3C2×D411yescharacteristic
738C2×C4×D3C2411yescharacteristic
739C2×C4×D3C2411yescharacteristic
740C2×Dic6—28no—
741C2×Dic6—21no—
742C2×Dic6—21no—
743C2×Dic6—21no—
744C2×Dic6—22no—
745C2×Dic6—22no—
746C2×Dic6—21no—
747C2×Dic6—21no—
748C2×Dic6—21no—
749C2×Dic6—21no—
750C2×Dic6C2×D411yescharacteristic
751C2×Dic6C2411yescharacteristic
752C2×Dic6C2411yescharacteristic
753C2×Dic6C2411yescharacteristic
754C2×Dic6C2411yescharacteristic
755C3×Q16—22no—
756C3×Q16—22no—
757C3×SD16—22no—
758C3×SD16—22no—
759C2×C3×C8C2411yescharacteristic
760C2×C3×C8C2411yescharacteristic
761C2×C3×C8C2411yescharacteristic
762C2×C3×C8C2411yescharacteristic
763C3×C4⋊C4—21no—
764C3×C4⋊C4—21no—
765C3×C4⋊C4—21no—
766C3×C4⋊C4—21no—
767C3×C4⋊C4—21no—
768C3×C4⋊C4—21no—
769C3×C4⋊C4—21no—
770C3×C4⋊C4—21no—
771C3×C4⋊C4—21no—
772C3×C4⋊C4—21no—
773C3×C4⋊C4—21no—
774C3×C4⋊C4C2×D411yescharacteristic
775C3×C4⋊C4C2×D411yescharacteristic
776C3×C4⋊C4C2411yescharacteristic
777C3×C4⋊C4C2411yescharacteristic
778C3×C4⋊C4C2411yescharacteristic
779C3×C4⋊C4C2411yescharacteristic
780C3×C22⋊C4—21no—
781C3×C22⋊C4—21no—
782C3×C22⋊C4—21no—
783C3×C22⋊C4—21no—
784C3×C22⋊C4C2×D411yescharacteristic
785C3×C22⋊C4C2×D411yescharacteristic
786C3×C42—21no—
787C3×C42—21no—
788C3×C42—21no—
789C3×C42—21no—
790C3×C42C2411yescharacteristic
791C3×C42C2411yescharacteristic
792#217—21no—
793#217—21no—
794#217—21no—
795#217—21no—
796#217—21no—
797#216—22no—
798#216—22no—
799#216—22no—
800#216—22no—
801#216—22no—
802#216—22no—
803#214—22no—
804#214—22no—
805(C2×D3)⋊C4—21no—
806(C2×D3)⋊C4—21no—
807(C2×D3)⋊C4—21no—
808(C2×D3)⋊C4—21no—
809(C2×D3)⋊C4—21no—
810(C2×D3)⋊C4—21no—
811(C2×D3)⋊C4—21no—
812(C2×D3)⋊C4—21no—
813(C2×D3)⋊C4C2×D411yescharacteristic
814(C2×D3)⋊C4C2×D411yescharacteristic
815(C2×D3)⋊C4C2×D411yescharacteristic
816(C2×D3)⋊C4C2×D411yescharacteristic
817C4⋊Dic3—21no—
818C4⋊Dic3—21no—
819C4⋊Dic3—21no—
820C4⋊Dic3—21no—
821C4⋊Dic3—21no—
822C4⋊Dic3—21no—
823C4⋊Dic3—21no—
824C4⋊Dic3—21no—
825C4⋊Dic3C2411yescharacteristic
826C4⋊Dic3C2411yescharacteristic
827C4⋊Dic3C2411yescharacteristic
828C4⋊Dic3C2411yescharacteristic
829Dic3⋊C4—21no—
830Dic3⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4—21no—
847Dic3⋊C4—21no—
848Dic3⋊C4—21no—
849Dic3⋊C4—21no—
850Dic3⋊C4—21no—
851Dic3⋊C4—21no—
852Dic3⋊C4—21no—
853Dic3⋊C4—21no—
854Dic3⋊C4—21no—
855Dic3⋊C4C2×D411yescharacteristic
856Dic3⋊C4C2×D411yescharacteristic
857Dic3⋊C4C2×D411yescharacteristic
858Dic3⋊C4C2×D411yescharacteristic
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3—21no—
863C4×Dic3—21no—
864C4×Dic3—21no—
865C4×Dic3—21no—
866C4×Dic3—21no—
867C4×Dic3—21no—
868C4×Dic3—21no—
869C4×Dic3—21no—
870C4×Dic3—21no—
871C4×Dic3—21no—
872C4×Dic3—21no—
873C4×Dic3—21no—
874C4×Dic3—21no—
875C4×Dic3—21no—
876C4×Dic3—21no—
877C4×Dic3—21no—
878C4×Dic3—21no—
879C4×Dic3—21no—
880C4×Dic3C2×D411yescharacteristic
881C4×Dic3C2×D411yescharacteristic
882C4×Dic3C2×D411yescharacteristic
883C4×Dic3C2×D411yescharacteristic
884C4×Dic3C2×D411yescharacteristic
885C4×Dic3C2×D411yescharacteristic
886C4×Dic3C2411yescharacteristic
887C4×Dic3C2411yescharacteristic
888C2×C3⋊C8C2411yescharacteristic
889C2×C3⋊C8C2411yescharacteristic
890C2×C3⋊C8C2411yescharacteristic
891C2×C3⋊C8C2411yescharacteristic
892Dic12—22no—
893Dic12—22no—
894Dic12—22no—
895Dic12—22no—
896ΓL(1,𝔽25)—22no—
897ΓL(1,𝔽25)—22no—
898D3×C8—22no—
899D3×C8—22no—
9002−1+4—64no—
9012−1+4—64no—
902C2×#41—31no—
903C2×#41—31no—
904C2×#41—31no—
905C2×#41—61no—
906C2×#41—61no—
907C2×#41—61no—
908C2×#41C22×D311yescharacteristic
909C22×Q8—31no—
910C22×Q8—31no—
911C22×Q8—31no—
912C22×Q8—31no—
913C22×Q8—31no—
914C22×Q8—61no—
915#137—64no—
916#137—64no—
917C2×Q16—31no—
918C2×Q16—31no—
919C2×Q16—31no—
920C2×Q16—31no—
921C2×Q16—31no—
922C2×Q16—31no—
923C2×Q16—31no—
924C2×Q16—31no—
925C2×Q16—31no—
926C2×Q16—31no—
927C2×Q16—64no—
928C2×Q16—64no—
929C2×Q16C22×D311yescharacteristic
930C2×Q16C22×D311yescharacteristic
931C2×SD16—31no—
932C2×SD16—31no—
933C2×SD16C22×D311yescharacteristic
934C2×SD16C22×D311yescharacteristic
935C2×M16—31no—
936C2×M16—31no—
937C22×C8—31no—
938C22×C8—31no—
939C4⋊Q8—31no—
940C4⋊Q8—31no—
941C4⋊Q8—31no—
942C4⋊Q8—31no—
943C4⋊Q8—31no—
944C4⋊Q8—61no—
945C4⋊Q8—61no—
946C4⋊Q8—61no—
947C4⋊Q8—61no—
948C4⋊Q8C22×D311yescharacteristic
949#126—21no—
950#126—21no—
951#126—61no—
952#126—61no—
953#126—61no—
954#126—61no—
955#126—61no—
956#126—61no—
957#125—21no—
958#125—21no—
959#125—31no—
960#125—61no—
961#125—61no—
962#125—61no—
963#125—61no—
964#125—61no—
965#125—61no—
966#125—61no—
967#125—61no—
968#125—61no—
969#125—61no—
970#125C22×D311yescharacteristic
971#124—61no—
972#124—61no—
973#123—61no—
974#123—61no—
975#123—61no—
976#123—61no—
977C22⋊Q8—31no—
978C22⋊Q8—31no—
979C22⋊Q8—31no—
980C22⋊Q8—31no—
981C22⋊Q8—31no—
982C22⋊Q8—31no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8C22×D311yescharacteristic
990C22⋊Q8C22×D311yescharacteristic
991C4×Q8—31no—
992C4×Q8—31no—
993C4×Q8—31no—
994C4×Q8—31no—
995C4×Q8—31no—
996C4×Q8—31no—
997C4×Q8—31no—
998C4×Q8—31no—
999C4×Q8—31no—
1000C4×Q8—31no—
1001C4×Q8—31no—
1002C4×Q8—31no—
1003C4×Q8—31no—
1004C4×Q8—31no—
1005C4×Q8—31no—
1006C4×Q8—31no—
1007C4×Q8—31no—
1008C4×Q8—31no—
1009C4×Q8—61no—
1010C4×Q8—61no—
1011C4×Q8—61no—
1012C4×Q8—61no—
1013C4×Q8—61no—
1014C4×Q8—61no—
1015C4×Q8—61no—
1016C4×Q8—61no—
1017C4×Q8—61no—
1018C4×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8—61no—
1028C4×Q8—61no—
1029C4×Q8—61no—
1030C4×Q8—61no—
1031C4×Q8—61no—
1032C4×Q8C22×D311yescharacteristic
1033C4×Q8C22×D311yescharacteristic
1034C4×Q8C22×D311yescharacteristic
1035C4×Q8C22×D311yescharacteristic
1036C4×D4—21no—
1037C4×D4—21no—
1038C4×D4—31no—
1039C4×D4—31no—
1040C4×D4—31no—
1041C4×D4—31no—
1042C4×D4—31no—
1043C4×D4—31no—
1044C4×D4—31no—
1045C4×D4—31no—
1046C4×D4—61no—
1047C4×D4—61no—
1048C4×D4—61no—
1049C4×D4—61no—
1050C4×D4—61no—
1051C4×D4—61no—
1052C4×D4—61no—
1053C4×D4—61no—
1054C4×D4—61no—
1055C4×D4—61no—
1056C4×D4—61no—
1057C4×D4—61no—
1058C4×D4—61no—
1059C4×D4C22×D311yescharacteristic
1060C4×D4C22×D311yescharacteristic
1061#117—21no—
1062#117—31no—
1063#117—31no—
1064#117—31no—
1065#117—31no—
1066#117—31no—
1067#117—31no—
1068#117—31no—
1069#117—61no—
1070#117—61no—
1071#117—61no—
1072#117—61no—
1073#117—61no—
1074#117—61no—
1075#117—61no—
1076#117—61no—
1077#117—61no—
1078#117—61no—
1079#117—61no—
1080#117—61no—
1081#117—61no—
1082#117—61no—
1083#117—61no—
1084#117—61no—
1085#117—61no—
1086#117—61no—
1087#117—61no—
1088#117C22×D311yescharacteristic
1089C2×C4⋊C4—21no—
1090C2×C4⋊C4—31no—
1091C2×C4⋊C4—31no—
1092C2×C4⋊C4—61no—
1093C2×C4⋊C4—61no—
1094C2×C4⋊C4—61no—
1095C2×C4⋊C4—61no—
1096C2×C4⋊C4—61no—
1097C2×C4⋊C4—61no—
1098C2×C4⋊C4—61no—
1099C2×C4⋊C4C22×D311yescharacteristic
1100C2×C42—31no—
1101C2×C42—31no—
1102C2×C42—31no—
1103C2×C42—61no—
1104C2×C42—61no—
1105C2×C42—61no—
1106C2×C42—61no—
1107C2×C42—61no—
1108C2×C42—61no—
1109#107—31no—
1110#107—31no—
1111#107—31no—
1112#107—31no—
1113#107—31no—
1114#107—31no—
1115#107C22×D311yescharacteristic
1116#107C22×D311yescharacteristic
1117#106—31no—
1118#106—31no—
1119#106—31no—
1120#106—31no—
1121#106—31no—
1122#106—31no—
1123#106C22×D311yescharacteristic
1124#106C22×D311yescharacteristic
1125C4⋊C8—31no—
1126C4⋊C8—31no—
1127C4⋊C8—31no—
1128C4⋊C8—31no—
1129C4⋊C8—31no—
1130C4⋊C8—31no—
1131C4⋊C8C22×D311yescharacteristic
1132C4⋊C8C22×D311yescharacteristic
1133#103—31no—
1134#103—31no—
1135#103—31no—
1136#103—31no—
1137#103—31no—
1138#103—31no—
1139#103—31no—
1140#103—31no—
1141#103—31no—
1142#103—31no—
1143#103—31no—
1144#103—31no—
1145#103—31no—
1146#103—31no—
1147#103—31no—
1148#103—31no—
1149#103—31no—
1150#103—31no—
1151#103—31no—
1152#103—31no—
1153#103—31no—
1154#103—31no—
1155#103C22×D311yescharacteristic
1156#103C22×D311yescharacteristic
1157#103C22×D311yescharacteristic
1158#103C22×D311yescharacteristic
1159#103C22×D311yescharacteristic
1160#103C22×D311yescharacteristic
1161#102—31no—
1162#102—31no—
1163#102C22×D311yescharacteristic
1164#102C22×D311yescharacteristic
1165C22⋊C8—31no—
1166C22⋊C8—31no—
1167C22⋊C8—31no—
1168C22⋊C8—31no—
1169C22⋊C8—31no—
1170C22⋊C8—31no—
1171C22⋊C8C22×D311yescharacteristic
1172C22⋊C8C22×D311yescharacteristic
1173#97—31no—
1174#97—31no—
1175#97—31no—
1176#97C22×D311yescharacteristic
1177C4×C8—31no—
1178C4×C8—31no—
1179C4×C8—31no—
1180C4×C8C22×D311yescharacteristic
1181C23×C3—21no—
1182C23×C3C22×D411yescharacteristic
1183C22×D3C22×D411yescharacteristic
1184C22×D3C22×D411yescharacteristic
1185C3×Q8—21no—
1186C3×Q8—21no—
1187C3×Q8—21no—
1188C3×Q8—21no—
1189C3×Q8—21no—
1190C3×Q8C2×#4112yes—
1191C3×D4—24no—
1192C3×D4—21no—
1193C3×D4C2×#4112yes—
1194C2×C3×C4—24no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—81no—
1205C2×C3×C4—81no—
1206C2×C3×C4—81no—
1207C2×C3×C4C22×D411yescharacteristic
1208C2×C3×C4C22×D411yescharacteristic
1209C2×C3×C4C22×D411yescharacteristic
1210C2×C3×C4C22×D411yescharacteristic
1211C2×C3×C4C22×D411yescharacteristic
1212C2×C3×C4C2511yescharacteristic
1213#67—24no—
1214#67—22no—
1215#67—24no—
1216#67—22no—
1217C2×Dic3—24no—
1218C2×Dic3—24no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—24no—
1222C2×Dic3—22no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—41no—
1230C2×Dic3—42no—
1231C2×Dic3—81no—
1232C2×Dic3C22×D411yescharacteristic
1233C2×Dic3C22×D411yescharacteristic
1234C2×Dic3C22×D411yescharacteristic
1235C2×Dic3C22×D411yescharacteristic
1236C2×Dic3C22×D411yescharacteristic
1237C2×Dic3C22×D411yescharacteristic
1238D12—22no—
1239C4×D3—24no—
1240C4×D3—24no—
1241C4×D3—21no—
1242C4×D3—21no—
1243C4×D3—22no—
1244C4×D3—22no—
1245C4×D3—41no—
1246C4×D3—41no—
1247C4×D3—42no—
1248C4×D3—42no—
1249C4×D3—81no—
1250C4×D3—81no—
1251C4×D3C2×#4112yes—
1252C4×D3C2×#4112yes—
1253Dic6—24no—
1254Dic6—24no—
1255Dic6—21no—
1256Dic6—21no—
1257Dic6—22no—
1258Dic6—24no—
1259Dic6—21no—
1260Dic6—21no—
1261Dic6—21no—
1262Dic6—21no—
1263Dic6—42no—
1264Dic6—42no—
1265Dic6—42no—
1266Dic6—42no—
1267Dic6C2×#4112yes—
1268Dic6C2×#4112yes—
1269C3×C8—21no—
1270C3×C8—21no—
1271C3×C8—21no—
1272C3×C8—21no—
1273C3⋊C8—21no—
1274C3⋊C8—21no—
1275C3⋊C8—21no—
1276C3⋊C8—21no—
1277#41—22no—
1278#41—22no—
1279#41—34no—
1280#41—62no—
1281#41—62no—
1282#41—68no—
1283#41—62no—
1284#41—62no—
1285#41—68no—
1286#41—68no—
1287#41—62no—
1288C2×Q8—31no—
1289C2×Q8—34no—
1290C2×Q8—31no—
1291C2×Q8—31no—
1292C2×Q8—31no—
1293C2×Q8—31no—
1294C2×Q8—61no—
1295C2×Q8—61no—
1296C2×Q8—61no—
1297C2×Q8—61no—
1298C2×Q8—61no—
1299C2×Q8—61no—
1300C2×Q8—62no—
1301C2×Q8—62no—
1302C2×Q8—68no—
1303C2×Q8—62no—
1304C2×Q8—62no—
1305C2×Q8—62no—
1306C2×Q8—62no—
1307C2×Q8—62no—
1308C2×Q8—62no—
1309C2×Q8—62no—
1310C2×Q8—61no—
1311C2×Q8C23×D311yescharacteristic
1312C2×Q8C23×D311yescharacteristic
1313C2×Q8C23×D311yescharacteristic
1314C2×D4—21no—
1315C2×D4—31no—
1316C2×D4—31no—
1317C2×D4—31no—
1318C2×D4—61no—
1319C2×D4—61no—
1320C2×D4C23×D311yescharacteristic
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—31no—
1326C22×C4—31no—
1327C22×C4—31no—
1328C22×C4—31no—
1329C22×C4—31no—
1330C22×C4—31no—
1331C22×C4—31no—
1332C22×C4—31no—
1333C22×C4—61no—
1334C22×C4—61no—
1335C22×C4—61no—
1336C22×C4—61no—
1337C22×C4—61no—
1338C22×C4—61no—
1339C22×C4—61no—
1340C22×C4—61no—
1341C22×C4—61no—
1342C22×C4—61no—
1343C22×C4—61no—
1344C22×C4C23×D311yescharacteristic
1345Q16—22no—
1346Q16—22no—
1347Q16—62no—
1348Q16—62no—
1349Q16—62no—
1350Q16—62no—
1351Q16—62no—
1352Q16—62no—
1353Q16—62no—
1354Q16—62no—
1355Q16—62no—
1356Q16—62no—
1357SD16—22no—
1358SD16—22no—
1359SD16—62no—
1360SD16—62no—
1361M16—62no—
1362M16—62no—
1363C2×C8—31no—
1364C2×C8—31no—
1365C2×C8—31no—
1366C2×C8—31no—
1367C2×C8—62no—
1368C2×C8—62no—
1369C2×C8C23×D311yescharacteristic
1370C2×C8C23×D311yescharacteristic
1371C2×C8C23×D311yescharacteristic
1372C2×C8C23×D311yescharacteristic
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—31no—
1385C4⋊C4—31no—
1386C4⋊C4—31no—
1387C4⋊C4—31no—
1388C4⋊C4—31no—
1389C4⋊C4—31no—
1390C4⋊C4—31no—
1391C4⋊C4—31no—
1392C4⋊C4—61no—
1393C4⋊C4—61no—
1394C4⋊C4—61no—
1395C4⋊C4—61no—
1396C4⋊C4—61no—
1397C4⋊C4—61no—
1398C4⋊C4—61no—
1399C4⋊C4—61no—
1400C4⋊C4—61no—
1401C4⋊C4—61no—
1402C4⋊C4—61no—
1403C4⋊C4—61no—
1404C4⋊C4—61no—
1405C4⋊C4—61no—
1406C4⋊C4—61no—
1407C4⋊C4—61no—
1408C4⋊C4—61no—
1409C4⋊C4—61no—
1410C4⋊C4—61no—
1411C4⋊C4—61no—
1412C4⋊C4—61no—
1413C4⋊C4—61no—
1414C4⋊C4—61no—
1415C4⋊C4—61no—
1416C4⋊C4—61no—
1417C4⋊C4—61no—
1418C4⋊C4—61no—
1419C4⋊C4—61no—
1420C4⋊C4—61no—
1421C4⋊C4—61no—
1422C4⋊C4—61no—
1423C4⋊C4—61no—
1424C4⋊C4—61no—
1425C4⋊C4—61no—
1426C4⋊C4D3×D411yescharacteristic
1427C4⋊C4D3×D411yescharacteristic
1428C4⋊C4C23×D311yescharacteristic
1429C4⋊C4C23×D311yescharacteristic
1430C4⋊C4C23×D311yescharacteristic
1431C4⋊C4C23×D311yescharacteristic
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—31no—
1437C22⋊C4—31no—
1438C22⋊C4—31no—
1439C22⋊C4—31no—
1440C22⋊C4—61no—
1441C22⋊C4—61no—
1442C22⋊C4—61no—
1443C22⋊C4—61no—
1444C22⋊C4—61no—
1445C22⋊C4—61no—
1446C22⋊C4—61no—
1447C22⋊C4—61no—
1448C22⋊C4—61no—
1449C22⋊C4—61no—
1450C22⋊C4—61no—
1451C22⋊C4—61no—
1452C22⋊C4—61no—
1453C22⋊C4D3×D411yescharacteristic
1454C22⋊C4D3×D411yescharacteristic
1455C42—21no—
1456C42—21no—
1457C42—21no—
1458C42—21no—
1459C42—31no—
1460C42—31no—
1461C42—31no—
1462C42—31no—
1463C42—31no—
1464C42—31no—
1465C42—31no—
1466C42—31no—
1467C42—61no—
1468C42—61no—
1469C42—61no—
1470C42—61no—
1471C42—61no—
1472C42—61no—
1473C42—61no—
1474C42—61no—
1475C42—61no—
1476C42—61no—
1477C42—61no—
1478C42—61no—
1479C42—61no—
1480C42—61no—
1481C42—61no—
1482C42—61no—
1483C42—61no—
1484C42—61no—
1485C42—61no—
1486C42—61no—
1487C42—61no—
1488C42C23×D311yescharacteristic
1489C42C23×D311yescharacteristic
1490C22×C3—21no—
1491C22×C3—21no—
1492C22×C3—22no—
1493C22×C3—21no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3C23×D411yescharacteristic
1497C2×D3—21no—
1498C2×D3—21no—
1499C2×D3—21no—
1500C2×D3—21no—
1501C2×D3—21no—
1502C2×D3#52512yes—
1503C3×C4—21no—
1504C3×C4—21no—
1505C3×C4—21no—
1506C3×C4—22no—
1507C3×C4—21no—
1508C3×C4—21no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4C22×#4111yescharacteristic
1516C3×C4C22×#4111yescharacteristic
1517Dic3—21no—
1518Dic3—21no—
1519Dic3—21no—
1520Dic3—22no—
1521Dic3—22no—
1522Dic3—21no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527Dic3—41no—
1528Dic3—41no—
1529Dic3#52512yes—
1530Dic3#57812yes—
1531C23—21no—
1532C23—31no—
1533C23—31no—
1534C23C2×D3×D411yescharacteristic
1535Q8—21no—
1536Q8—21no—
1537Q8—21no—
1538Q8—21no—
1539Q8—21no—
1540Q8—32no—
1541Q8—32no—
1542Q8—62no—
1543Q8—64no—
1544Q8—64no—
1545Q8—64no—
1546Q8—61no—
1547Q8—61no—
1548Q8—61no—
1549Q8—61no—
1550Q8—61no—
1551Q8—61no—
1552Q8—122no—
1553Q8—122no—
1554Q8—122no—
1555Q8—122no—
1556Q8D3×#4112yes—
1557D4—24no—
1558D4—21no—
1559D4—62no—
1560D4—62no—
1561D4—62no—
1562D4—64no—
1563D4—64no—
1564D4D3×#4112yes—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—31no—
1576C2×C4—31no—
1577C2×C4—32no—
1578C2×C4—32no—
1579C2×C4—31no—
1580C2×C4—31no—
1581C2×C4—31no—
1582C2×C4—31no—
1583C2×C4—62no—
1584C2×C4—62no—
1585C2×C4—64no—
1586C2×C4—64no—
1587C2×C4—62no—
1588C2×C4—64no—
1589C2×C4—64no—
1590C2×C4—64no—
1591C2×C4—61no—
1592C2×C4—61no—
1593C2×C4—61no—
1594C2×C4—61no—
1595C2×C4—61no—
1596C2×C4—61no—
1597C2×C4—61no—
1598C2×C4—61no—
1599C2×C4—61no—
1600C2×C4—61no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—121no—
1605C2×C4—121no—
1606C2×C4—122no—
1607C2×C4—122no—
1608C2×C4—122no—
1609C2×C4—121no—
1610C2×C4—241no—
1611C2×C4—241no—
1612C2×C4—241no—
1613C2×C4C2×D3×D411yescharacteristic
1614C2×C4C2×D3×D411yescharacteristic
1615C2×C4C2×D3×D411yescharacteristic
1616C2×C4C2×D3×D411yescharacteristic
1617C2×C4C2×D3×D411yescharacteristic
1618C2×C4C24×D311yescharacteristic
1619C8—21no—
1620C8—21no—
1621C8—21no—
1622C8—21no—
1623C8—61no—
1624C8—61no—
1625C8—61no—
1626C8—61no—
1627C2×C3—41no—
1628C2×C3—42no—
1629C2×C3C2×#52511yescharacteristic
1630C2×C3C2×#57811yescharacteristic
1631C2×C3#358611yescharacteristic
1632D3—22no—
1633D3—41no—
1634C22—21no—
1635C22—22no—
1636C22—21no—
1637C22—21no—
1638C22—32no—
1639C22—41no—
1640C22—41no—
1641C22—61no—
1642C22—61no—
1643C22—61no—
1644C22—61no—
1645C22—61no—
1646C22C22×D3×D411yescharacteristic
1647C4—21no—
1648C4—22no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—32no—
1654C4—32no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—61no—
1662C4—62no—
1663C4—62no—
1664C4—61no—
1665C4—61no—
1666C4—61no—
1667C4—121no—
1668C4—121no—
1669C4—121no—
1670C4—121no—
1671C4—121no—
1672C4—121no—
1673C4C2×D3×#4111yescharacteristic
1674C4C2×D3×#4111yescharacteristic
1675C3#6059411yescharacteristic, complemented, Sylow
1676C2—41no—
1677C2—42no—
1678C2—62no—
1679C2—121no—
1680C2D3×#52511yescharacteristic
1681C2#8720811yescharacteristic
1682C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3120C2
socleC22×C3C23×D4
prime radicalC2×#1010C22
hypercenter#3120D3
hypocenterC3#60594
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #86510C2semidirect
3. C3×#3120C2semidirect
4. #83451C2semidirect
5. #82575C2semidirect
6. #81470C2semidirect
7. #81452C2semidirect
8. #81429C2semidirect
9. #81414C2semidirect
10. #81230C2semidirect
11. #81211C2semidirect
12. #81165C2semidirect
13. #81145C2semidirect
14. D3×#462C2semidirect
15. #80461C2semidirect
16. #80429C2semidirect
17. #80412C2semidirect
20. #80215C2semidirect
21. #80213C2semidirect
22. #79833C2semidirect
23. #79831C2semidirect
24. #79783C2semidirect
25. #79776C2semidirect
26. #79722C2semidirect
27. #79720C2semidirect
28. #79655C2semidirect
29. #79648C2semidirect
30. #79396C2semidirect
31. #79375C2semidirect
213. #3120D3semidirect
1675. C3#60594semidirect

Maximal subgroups

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

subgroupindex
#865102
#858872
C3×#31202
#834512
#825752
#814702
#814522
#814292
#814142
#812302
#812112
#811652
#811452
D3×#4622
#804612
#804292
#804122
#802302
#802152
#802132
#798332
#798312
#797832
#797762
#797222
#797202
#796552
#796482
#793962
#793752
#605943