Finite Group Databasebeta

← #11682000

Subgroups — #11682000

Order 768.

2064 conjugacy classes of subgroups.

The subgroup lattice has 1860 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87292C211yesmaximal, characteristic, complemented
2#86374C211yesmaximal, characteristic, complemented
3C3×#3013C211yesmaximal, characteristic, complemented
4#84114C211yesmaximal, characteristic, complemented
5#83997C211yesmaximal, characteristic, complemented
6#83996C211yesmaximal, characteristic, complemented
7#83927C211yesmaximal, characteristic, complemented
8#83926C211yesmaximal, characteristic, complemented
9#83428C211yesmaximal, characteristic, complemented
10#80269C211yesmaximal, characteristic, complemented
11#80260C211yesmaximal, characteristic, complemented
12#80232C211yesmaximal, characteristic, complemented
13#80213C211yesmaximal, characteristic, complemented
14#80206C211yesmaximal, characteristic, complemented
15#80193C211yesmaximal, characteristic, complemented
16#80191C211yesmaximal, characteristic, complemented
17#80178C211yesmaximal, characteristic, complemented
18#80130C211yesmaximal, characteristic, complemented
19#80116C211yesmaximal, characteristic, complemented
20#80088C211yesmaximal, characteristic, complemented
21#80069C211yesmaximal, characteristic, complemented
22#80066C211yesmaximal, characteristic, complemented
23#80049C211yesmaximal, characteristic, complemented
24#80048C211yesmaximal, characteristic, complemented
25#80034C211yesmaximal, characteristic, complemented
26#78907C211yesmaximal, characteristic, complemented
27#78906C211yesmaximal, characteristic, complemented
28#78806C211yesmaximal, characteristic, complemented
29#78805C211yesmaximal, characteristic, complemented
30#78681C211yesmaximal, characteristic, complemented
31#78667C211yesmaximal, characteristic, complemented
32#61667—31nomaximal, Sylow
33C2×C3×2−1+4C2211yescharacteristic
34C2×#1010C2211yescharacteristic
35C2×C3×#137C2211yescharacteristic
36C2×C3×#135C2211yescharacteristic
37C3×#537C2211yescharacteristic
38#5834C2211yescharacteristic
39#5833C2211yescharacteristic
40#5832—21no—
41#5832C2211yescharacteristic
42Dic3×#41C2211yescharacteristic
43#5825—21no—
44#5825C2211yescharacteristic
45#5824—21no—
46#5824—21no—
47#5824—21no—
48#5824—21no—
49#5824C2211yescharacteristic
50#5824C2211yescharacteristic
51#5824C2211yescharacteristic
52#5824C2211yescharacteristic
53#5824C2211yescharacteristic
54C2×#950C2211yescharacteristic
55#5816—21no—
56#5816C2211yescharacteristic
57Q8×#67C2211yescharacteristic
58Q8×#67C2211yescharacteristic
59Q8×#67C2211yescharacteristic
60Q8×#67C2211yescharacteristic
61C2×#944—21no—
62C2×#944C2211yescharacteristic
63C2×#942C2211yescharacteristic
64C2×#918C2211yescharacteristic
65C2×#916C2211yescharacteristic
66C2×#915C2211yescharacteristic
67C2×#912C2211yescharacteristic
68#5647—21no—
69#5636—21no—
70#5635C2211yescharacteristic
71#5631C2211yescharacteristic
72#5629C2211yescharacteristic
73#5622C2211yescharacteristic
74#5621—21no—
75#5615—21no—
76#5615—21no—
77#5611C2211yescharacteristic
78#5608—21no—
79#5608C2211yescharacteristic
80#5599—21no—
81#5599C2211yescharacteristic
82#5597—21no—
83#5596C2211yescharacteristic
84#5511C2211yescharacteristic
85#5507C2211yescharacteristic
86C3×#452C2211yescharacteristic
87C3×#452C2211yescharacteristic
88C3×#451C2211yescharacteristic
89C3×#451C2211yescharacteristic
90C3×#449C2211yescharacteristic
91C3×#449C2211yescharacteristic
92C3×#448C2211yescharacteristic
93C3×#448C2211yescharacteristic
94C3×#417C2211yescharacteristic
95C2×C3×#103C2211yescharacteristic
96C3×#408C2211yescharacteristic
97#5239C2211yescharacteristic
98#5239C2211yescharacteristic
99#5239C2211yescharacteristic
100#5239C2211yescharacteristic
101#5238C2211yescharacteristic
102#5238C2211yescharacteristic
103#5234C2211yescharacteristic
104#5232C2211yescharacteristic
105#5228C2211yescharacteristic
106#5228C2211yescharacteristic
107#5227C2211yescharacteristic
108#5227C2211yescharacteristic
109C2×#835C2211yescharacteristic
110#5189C2211yescharacteristic
111#5188C2211yescharacteristic
112#5187C2211yescharacteristic
113#5187C2211yescharacteristic
114#5186C2211yescharacteristic
115#5183C2211yescharacteristic
116#5183C2211yescharacteristic
117#5182C2211yescharacteristic
118#5182C2211yescharacteristic
119#5182C2211yescharacteristic
120Dic3×Q16C2211yescharacteristic
121#5175C2211yescharacteristic
122#5175C2211yescharacteristic
123#5174C2211yescharacteristic
124#5173C2211yescharacteristic
125#5173C2211yescharacteristic
126#5173C2211yescharacteristic
127#5171C2211yescharacteristic
128#5170C2211yescharacteristic
129#5163C2211yescharacteristic
130#5162C2211yescharacteristic
131#5162C2211yescharacteristic
132#5162C2211yescharacteristic
133Dic3×SD16C2211yescharacteristic
134Dic3×SD16C2211yescharacteristic
135#5158C2211yescharacteristic
136#5150C2211yescharacteristic
137Dic3×D8C2211yescharacteristic
138#5137C2211yescharacteristic
139#5134C2211yescharacteristic
140#5128C2211yescharacteristic
141#5128C2211yescharacteristic
142#5116C2211yescharacteristic
143#5114C2211yescharacteristic
144C8×#67C2211yescharacteristic
145C8×#67C2211yescharacteristic
146#5052C2211yescharacteristic
147#5051C2211yescharacteristic
148#5050C2211yescharacteristic
149#5045C2211yescharacteristic
150#5042C2211yescharacteristic
151#5041C2211yescharacteristic
152#5040C2211yescharacteristic
153#5035C2211yescharacteristic
154#4971C2211yescharacteristic
155#4970C2211yescharacteristic
156#4818C2211yescharacteristic
157#4818C2211yescharacteristic
158#4816C2211yescharacteristic
159#4813C2211yescharacteristic
160#4812C2211yescharacteristic
161#4811C2211yescharacteristic
162#4811C2211yescharacteristic
163#4809C2211yescharacteristic
164#4807C2211yescharacteristic
165#4806C2211yescharacteristic
166#4805C2211yescharacteristic
167#4805C2211yescharacteristic
168D3×#103C2211yescharacteristic
169D3×#103C2211yescharacteristic
170#4795C2211yescharacteristic
171#4795C2211yescharacteristic
172#4793C2211yescharacteristic
173#4792C2211yescharacteristic
174#4792C2211yescharacteristic
175#4792C2211yescharacteristic
176#4792C2211yescharacteristic
177#4791C2211yescharacteristic
178#4790C2211yescharacteristic
179#4788C2211yescharacteristic
180#4783C2211yescharacteristic
181#4781C2211yescharacteristic
182#4771C2211yescharacteristic
183#4771C2211yescharacteristic
184#4761C2211yescharacteristic
185#4759C2211yescharacteristic
186#4758C2211yescharacteristic
187#4756C2211yescharacteristic
188#4739C2211yescharacteristic
189#4738C2211yescharacteristic
190#4737C2211yescharacteristic
191#4733C2211yescharacteristic
192#4733C2211yescharacteristic
193#4729C2211yescharacteristic
194#4729C2211yescharacteristic
195#4727C2211yescharacteristic
196#4727C2211yescharacteristic
197#67⋊C8C2211yescharacteristic
198#67⋊C8C2211yescharacteristic
199#4723C2211yescharacteristic
200#4722C2211yescharacteristic
201#4721C2211yescharacteristic
202#4718C2211yescharacteristic
203#4718C2211yescharacteristic
204#3548—31no—
205#3499—31no—
206#3331—31no—
207#3331—31no—
208#3330—31no—
209#3330—31no—
210#3299—31no—
211#3299—31no—
212#3298—31no—
213#3298—31no—
214#3284—31no—
215#3284—31no—
216#3283—31no—
217#3283—31no—
218#3278—31no—
219#3278—31no—
220#3276—31no—
221#3276—31no—
222#3209—31no—
223#3206—31no—
224#3201—31no—
225#3201—31no—
226#3201—31no—
227#3201—31no—
228#3107—31no—
229#3106—31no—
230#3013—31no—
231#3013—31no—
232#3013—31no—
233#3013D311yescharacteristic, complemented
234#2979—31no—
235C3×2−1+4—42no—
236C3×2−1+4—42no—
237C2×C3×#41—21no—
238C2×C3×#41—21no—
239C2×C3×#41—21no—
240C2×C3×#41C2311yescharacteristic
241C2×C3×#41C2311yescharacteristic
242C2×C3×#41C2311yescharacteristic
243C2×C3×#41C2311yescharacteristic
244C2×C3×#41C2311yescharacteristic
245C22×C3×Q8—21no—
246C22×C3×Q8C2311yescharacteristic
247C22×C3×Q8C2311yescharacteristic
248C22×C3×Q8C2311yescharacteristic
249#1010—42no—
250#1010—42no—
251C2×#239C2311yescharacteristic
252C2×D3×Q8C2311yescharacteristic
253C2×D3×Q8C2311yescharacteristic
254C2×#237—21no—
255C2×#237—21no—
256C2×#237—21no—
257C2×#237—21no—
258C2×#237C2311yescharacteristic
259C2×#237C2311yescharacteristic
260C2×#237C2311yescharacteristic
261C2×#235—21no—
262C2×#235—21no—
263C2×#235C2311yescharacteristic
264C2×#235C2311yescharacteristic
265C22×Dic6—21no—
266C22×Dic6C2311yescharacteristic
267C3×#137—42no—
268C3×#135—42no—
269C2×C3×Q16C2311yescharacteristic
270C2×C3×Q16C2311yescharacteristic
271C2×C3×Q16C2311yescharacteristic
272C2×C3×SD16C2311yescharacteristic
273C2×C3×SD16C2311yescharacteristic
274C2×C3×SD16C2311yescharacteristic
275C2×C3×SD16C2311yescharacteristic
276C2×C3×D8C2311yescharacteristic
277C2×C3×M16C2311yescharacteristic
278C22×C3×C8C2311yescharacteristic
279C3×C22⋊Q8—21no—
280C3×C22⋊Q8C2311yescharacteristic
281C3×C22⋊Q8C2311yescharacteristic
282C3×#121—21no—
283C3×#121—21no—
284C3×#121—21no—
285C3×#121C2311yescharacteristic
286C3×#121C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288#950—42no—
289#947—21no—
290#947D411yescharacteristic
291#946—21no—
292#946—21no—
293#946—21no—
294#946—21no—
295#946—21no—
296#946C2311yescharacteristic
297#946C2311yescharacteristic
298#946C2311yescharacteristic
299#946C2311yescharacteristic
300#946C2311yescharacteristic
301Q8×Dic3C2311yescharacteristic
302Q8×Dic3C2311yescharacteristic
303Q8×Dic3C2311yescharacteristic
304#944—21no—
305#944—21no—
306#944—21no—
307#944—21no—
308#944—21no—
309#944—21no—
310#944—21no—
311#944—21no—
312#944D411yescharacteristic
313#944C2311yescharacteristic
314#944C2311yescharacteristic
315#944C2311yescharacteristic
316#944C2311yescharacteristic
317#944C2311yescharacteristic
318C2×#216C2311yescharacteristic
319C2×#216C2311yescharacteristic
320C2×#216C2311yescharacteristic
321C2×#216C2311yescharacteristic
322C2×#216C2311yescharacteristic
323#942—42no—
324C2×#215C2311yescharacteristic
325C2×#215C2311yescharacteristic
326C2×#215C2311yescharacteristic
327#940—21no—
328#940—21no—
329#940D411yescharacteristic
330#940C2311yescharacteristic
331#939—21no—
332#939—21no—
333#939—21no—
334#939—21no—
335#939—21no—
336#939—21no—
337#939—21no—
338#939—21no—
339#939—21no—
340#939—21no—
341#939D411yescharacteristic
342#939D411yescharacteristic
343#939D411yescharacteristic
344#939D411yescharacteristic
345#938—21no—
346#938—21no—
347#938—21no—
348#938C2311yescharacteristic
349#936—21no—
350#936D411yescharacteristic
351#935—21no—
352#935—21no—
353#935—21no—
354#935—21no—
355#935—21no—
356#935—21no—
357#935—21no—
358#935—21no—
359D4×Dic3—21no—
360D4×Dic3—21no—
361D4×Dic3C2311yescharacteristic
362D4×Dic3C2311yescharacteristic
363D4×Dic3C2311yescharacteristic
364C2×#214C2311yescharacteristic
365C2×#214C2311yescharacteristic
366C2×#214C2311yescharacteristic
367C2×#213C2311yescharacteristic
368#930—21no—
369#930C2311yescharacteristic
370#930C2311yescharacteristic
371#929—21no—
372#929—21no—
373#929—21no—
374#929—21no—
375#929—21no—
376#929—21no—
377#929—21no—
378#929—21no—
379C4×#67—21no—
380C4×#67—21no—
381C4×#67—21no—
382C4×#67—21no—
383C4×#67—21no—
384C4×#67—21no—
385C4×#67C2311yescharacteristic
386C4×#67C2311yescharacteristic
387C4×#67C2311yescharacteristic
388C4×#67C2311yescharacteristic
389#926—21no—
390#926C2311yescharacteristic
391C2×C4⋊Dic3C2311yescharacteristic
392#924—21no—
393#924—21no—
394#924—21no—
395#924—21no—
396#924—21no—
397#924C2311yescharacteristic
398#924C2311yescharacteristic
399#924C2311yescharacteristic
400#924C2311yescharacteristic
401#924C2311yescharacteristic
402#924C2311yescharacteristic
403C2×Dic3⋊C4—21no—
404C2×Dic3⋊C4—21no—
405C2×Dic3⋊C4—21no—
406C2×Dic3⋊C4—21no—
407C2×Dic3⋊C4—21no—
408C2×Dic3⋊C4—21no—
409C2×Dic3⋊C4—21no—
410C2×C4×Dic3—21no—
411C2×C4×Dic3C2311yescharacteristic
412C2×#208C2311yescharacteristic
413C22×C3⋊C8C2311yescharacteristic
414#918—42no—
415#916—42no—
416#915—42no—
417#912—42no—
418C2×Dic12C2311yescharacteristic
419C2×Dic12C2311yescharacteristic
420C2×#204C2311yescharacteristic
421C2×#204C2311yescharacteristic
422C2×ΓL(1,𝔽25)C2311yescharacteristic
423C2×ΓL(1,𝔽25)C2311yescharacteristic
424C2×D3×C8C2311yescharacteristic
425C2×D3×C8C2311yescharacteristic
426#897—21no—
427#897C2311yescharacteristic
428#896—21no—
429#896—21no—
430#896—21no—
431#895—21no—
432#895C2311yescharacteristic
433#894—21no—
434#894—21no—
435#893C2311yescharacteristic
436D3×C4⋊C4—21no—
437D3×C4⋊C4C2311yescharacteristic
438D3×C4⋊C4C2311yescharacteristic
439#889—21no—
440#889—21no—
441#889—21no—
442#888C2311yescharacteristic
443#888C2311yescharacteristic
444#887—21no—
445#887C2311yescharacteristic
446#885—21no—
447#884—21no—
448#884—21no—
449#884—21no—
450#884—21no—
451#884—21no—
452#883—21no—
453#883—21no—
454#67⋊C4—21no—
455#67⋊C4—21no—
456#67⋊C4—21no—
457#878—21no—
458#878—21no—
459#878—21no—
460#878—21no—
461#877—21no—
462C3×#103C2311yescharacteristic
463C3×#103C2311yescharacteristic
464C3×#103C2311yescharacteristic
465C3×#103C2311yescharacteristic
466C3×#103C2311yescharacteristic
467C3×#103C2311yescharacteristic
468C3×#102C2311yescharacteristic
469C3×#102C2311yescharacteristic
470C3×C22⋊C8C2311yescharacteristic
471C3×C22⋊C8C2311yescharacteristic
472C3×C22⋊C8C2311yescharacteristic
473C3×C22⋊C8C2311yescharacteristic
474#835C2311yescharacteristic
475#835C2311yescharacteristic
476#835C2311yescharacteristic
477#835C2311yescharacteristic
478#835C2311yescharacteristic
479#835C2311yescharacteristic
480#835C2311yescharacteristic
481#835C2311yescharacteristic
482#832C2311yescharacteristic
483#832C2311yescharacteristic
484#832C2311yescharacteristic
485#832C2311yescharacteristic
486#830C2311yescharacteristic
487#830C2311yescharacteristic
488#830C2311yescharacteristic
489#830C2311yescharacteristic
490#821C2311yescharacteristic
491#821C2311yescharacteristic
492(C2×D3)⋊C8C2311yescharacteristic
493(C2×D3)⋊C8C2311yescharacteristic
494(C2×D3)⋊C8C2311yescharacteristic
495(C2×D3)⋊C8C2311yescharacteristic
496#818C2311yescharacteristic
497#818C2311yescharacteristic
498#817C2311yescharacteristic
499#817C2311yescharacteristic
500#816C2311yescharacteristic
501#816C2311yescharacteristic
502#816C2311yescharacteristic
503#816C2311yescharacteristic
504#816C2311yescharacteristic
505#816C2311yescharacteristic
506Dic3⋊C8C2311yescharacteristic
507Dic3⋊C8C2311yescharacteristic
508Dic3⋊C8C2311yescharacteristic
509Dic3⋊C8C2311yescharacteristic
510C8×Dic3C2311yescharacteristic
511C8×Dic3C2311yescharacteristic
512C8×Dic3C2311yescharacteristic
513C8×Dic3C2311yescharacteristic
514#810C2311yescharacteristic
515#810C2311yescharacteristic
516#810C2311yescharacteristic
517#810C2311yescharacteristic
518#808C2311yescharacteristic
519#808C2311yescharacteristic
520#807C2311yescharacteristic
521#807C2311yescharacteristic
522C2×2−1+4—31no—
523C2×2−1+4C2×D311yescharacteristic
524C2×#137—31no—
525C2×#137—31no—
526C2×#137—31no—
527C2×#137C2×D311yescharacteristic
528C2×#135—31no—
529C2×#135—31no—
530C2×#135—31no—
531C2×#135C2×D311yescharacteristic
532#562—61no—
533#562—61no—
534#554—31no—
535#554—31no—
536#554—61no—
537#550—31no—
538#550—31no—
539#550—61no—
540D4×Q8—31no—
541D4×Q8—31no—
542D4×Q8—31no—
543D4×Q8—31no—
544#547—31no—
545#547—31no—
546#547—31no—
547#547—31no—
548#547—31no—
549#547—31no—
550#547—31no—
551#547—31no—
552#547—61no—
553#547—61no—
554#547—61no—
555#547—61no—
556#540—61no—
557#540—61no—
558#537—31no—
559#537—31no—
560#537—31no—
561#537—61no—
562#537—61no—
563#537C2×D311yescharacteristic
564#536—31no—
565#536—31no—
566#536—61no—
567#536—61no—
568#533—31no—
569#532—31no—
570#532—31no—
571#532—61no—
572C2×C4⋊Q8—31no—
573C2×C4⋊Q8—61no—
574C4×#41—31no—
575#494—31no—
576#494—31no—
577#492—31no—
578#492—31no—
579#487—31no—
580#487—31no—
581#487—31no—
582#487—31no—
583#485—31no—
584#485—31no—
585#484—31no—
586#484—31no—
587#484—31no—
588#484—31no—
589#483—31no—
590#483—31no—
591#483—31no—
592#483—31no—
593#482—31no—
594#482—31no—
595#477—31no—
596#476—31no—
597#475—31no—
598#474—31no—
599#470—31no—
600#470—31no—
601#470—31no—
602#470—31no—
603#468—31no—
604#468—31no—
605#468—31no—
606#468—31no—
607#467—31no—
608#467—31no—
609#467—31no—
610#467—31no—
611#465—31no—
612#465—31no—
613#465—31no—
614#465—31no—
615#462—31no—
616#462—31no—
617#462—31no—
618#462—31no—
619#462—31no—
620#461—31no—
621#461—31no—
622#461—31no—
623#461—31no—
624#461—31no—
625#460—31no—
626#459—31no—
627#452—31no—
628#452—31no—
629#452—31no—
630#452—31no—
631#452—31no—
632#452—31no—
633#452—31no—
634#452—31no—
635#452—31no—
636#452—31no—
637#452—31no—
638#452—31no—
639#452C2×D311yescharacteristic
640#452C2×D311yescharacteristic
641#451—31no—
642#451—31no—
643#451—31no—
644#451—31no—
645#451—31no—
646#451—31no—
647#451C2×D311yescharacteristic
648#451C2×D311yescharacteristic
649#449—31no—
650#449—31no—
651#449—31no—
652#449—31no—
653#449C2×D311yescharacteristic
654#449C2×D311yescharacteristic
655#448—31no—
656#448—31no—
657#448—31no—
658#448—31no—
659#448—31no—
660#448—31no—
661#448C2×D311yescharacteristic
662#448C2×D311yescharacteristic
663C4×Q16—31no—
664C4×Q16—31no—
665C4×SD16—31no—
666C4×SD16—31no—
667C4×SD16—31no—
668C4×SD16—31no—
669C4×D8—31no—
670C4×D8—31no—
671#436—31no—
672#436—31no—
673#436—31no—
674#436—31no—
675C8×D4—31no—
676C8×D4—31no—
677C8×D4—31no—
678C8×D4—31no—
679#431—31no—
680#431—31no—
681#417—31no—
682#417—31no—
683#417—31no—
684#417C2×D311yescharacteristic
685C2×#103—31no—
686C2×#103—31no—
687C2×#103—31no—
688C2×#103C2×D311yescharacteristic
689#408—31no—
690#408—31no—
691#408—31no—
692#408C2×D311yescharacteristic
693C3×#41—22no—
694C3×#41—22no—
695C3×#41—22no—
696C3×#41—22no—
697C3×#41—41no—
698C3×#41—41no—
699C3×#41—41no—
700C3×#41—41no—
701C3×#41—44no—
702C3×#41—41no—
703C3×#41—41no—
704C3×#41—44no—
705C3×#41—44no—
706C2×C3×Q8—21no—
707C2×C3×Q8—21no—
708C2×C3×Q8—21no—
709C2×C3×Q8—22no—
710C2×C3×Q8—22no—
711C2×C3×Q8—41no—
712C2×C3×Q8—41no—
713C2×C3×Q8—41no—
714C2×C3×Q8—41no—
715C2×C3×Q8—44no—
716C2×C3×Q8C2×D411yescharacteristic
717C2×C3×Q8C2411yescharacteristic
718C2×C3×Q8C2411yescharacteristic
719C2×C3×Q8C2411yescharacteristic
720C2×C3×Q8C2411yescharacteristic
721C2×C3×D4—21no—
722C2×C3×D4—21no—
723C2×C3×D4—21no—
724C2×C3×D4—21no—
725C2×C3×D4—21no—
726C2×C3×D4—21no—
727C2×C3×D4C2×D411yescharacteristic
728C2×C3×D4C2×D411yescharacteristic
729C2×C3×D4C2×D411yescharacteristic
730C2×C3×D4C2411yescharacteristic
731C2×C3×D4C2411yescharacteristic
732C22×C3×C4—21no—
733C22×C3×C4—21no—
734C22×C3×C4—21no—
735C22×C3×C4—21no—
736C22×C3×C4—21no—
737C22×C3×C4—21no—
738C22×C3×C4—21no—
739C22×C3×C4—21no—
740C22×C3×C4C2411yescharacteristic
741C22×C3×C4C2411yescharacteristic
742C22×C3×C4C2411yescharacteristic
743C2×#67—21no—
744C2×#67—21no—
745C2×#67—21no—
746C2×#67—21no—
747C2×#67—21no—
748C2×#67—21no—
749C2×#67—21no—
750C2×#67—21no—
751C2×#67—21no—
752C2×#67C2×D411yescharacteristic
753C2×#67C2×D411yescharacteristic
754C2×#67C2×D411yescharacteristic
755C2×#67C2×D411yescharacteristic
756C2×#67C2×D411yescharacteristic
757C2×#67C2×D411yescharacteristic
758C22×Dic3—21no—
759C22×Dic3—21no—
760C22×Dic3—21no—
761C22×Dic3—21no—
762C22×Dic3—21no—
763C22×Dic3—21no—
764C22×Dic3—21no—
765C22×Dic3—21no—
766C22×Dic3C2×D411yescharacteristic
767C22×Dic3C2×D411yescharacteristic
768#239—41no—
769#239—41no—
770D3×Q8—22no—
771D3×Q8—22no—
772D3×Q8—41no—
773D3×Q8—41no—
774#237—22no—
775#237—22no—
776#237—41no—
777#237—41no—
778#237—41no—
779#237—41no—
780#237—44no—
781#237—44no—
782#237—82no—
783#237—82no—
784#235—41no—
785#235—41no—
786#235—41no—
787#235—41no—
788#235—44no—
789#235—82no—
790C2×D12—21no—
791C2×D12—21no—
792C2×D12C2×D411yescharacteristic
793C2×D12C2411yescharacteristic
794C2×C4×D3—21no—
795C2×C4×D3—21no—
796C2×C4×D3—21no—
797C2×C4×D3—21no—
798C2×C4×D3—21no—
799C2×C4×D3—21no—
800C2×C4×D3—21no—
801C2×C4×D3C2411yescharacteristic
802C2×C4×D3C2411yescharacteristic
803C2×Dic6—21no—
804C2×Dic6—21no—
805C2×Dic6—21no—
806C2×Dic6—21no—
807C2×Dic6—21no—
808C2×Dic6—41no—
809C2×Dic6—41no—
810C2×Dic6—44no—
811C2×Dic6C2×D411yescharacteristic
812C2×Dic6C2411yescharacteristic
813C2×Dic6C2411yescharacteristic
814C2×Dic6C2411yescharacteristic
815C3×Q16—22no—
816C3×Q16—41no—
817C3×Q16—41no—
818C3×SD16—22no—
819C3×SD16—22no—
820C3×SD16—41no—
821C3×SD16—41no—
822C3×D8—22no—
823C3×M16—41no—
824C2×C3×C8—41no—
825C2×C3×C8C2411yescharacteristic
826C2×C3×C8C2411yescharacteristic
827C2×C3×C8C2411yescharacteristic
828C2×C3×C8C2411yescharacteristic
829C3×C4⋊C4—21no—
830C3×C4⋊C4—21no—
831C3×C4⋊C4—21no—
832C3×C4⋊C4C2411yescharacteristic
833C3×C4⋊C4C2411yescharacteristic
834C3×C22⋊C4—21no—
835C3×C22⋊C4—21no—
836C3×C22⋊C4—21no—
837C3×C22⋊C4—21no—
838#217—21no—
839#217—21no—
840#217—21no—
841#217—21no—
842#217—21no—
843#217—21no—
844#217—21no—
845#217—21no—
846#217—21no—
847#217—21no—
848#217—21no—
849#217C2×D411yescharacteristic
850#217C2×D411yescharacteristic
851#217C2×D411yescharacteristic
852#217C2×D411yescharacteristic
853#216—22no—
854#216—41no—
855#216—41no—
856#216—41no—
857#216—41no—
858#215—22no—
859#215—41no—
860#215—41no—
861#214—22no—
862#214—41no—
863#214—41no—
864#213—22no—
865(C2×D3)⋊C4—21no—
866(C2×D3)⋊C4—21no—
867(C2×D3)⋊C4—21no—
868(C2×D3)⋊C4—21no—
869(C2×D3)⋊C4—21no—
870(C2×D3)⋊C4—21no—
871(C2×D3)⋊C4—21no—
872(C2×D3)⋊C4—21no—
873(C2×D3)⋊C4—21no—
874(C2×D3)⋊C4—21no—
875(C2×D3)⋊C4C2×D411yescharacteristic
876(C2×D3)⋊C4C2×D411yescharacteristic
877(C2×D3)⋊C4C2×D411yescharacteristic
878(C2×D3)⋊C4C2×D411yescharacteristic
879C4⋊Dic3—21no—
880C4⋊Dic3—21no—
881C4⋊Dic3—21no—
882C4⋊Dic3—21no—
883C4⋊Dic3—21no—
884C4⋊Dic3C2411yescharacteristic
885C4⋊Dic3C2411yescharacteristic
886C4⋊Dic3C2411yescharacteristic
887C4⋊Dic3C2411yescharacteristic
888Dic3⋊C4—21no—
889Dic3⋊C4—21no—
890Dic3⋊C4—21no—
891Dic3⋊C4—21no—
892Dic3⋊C4—21no—
893Dic3⋊C4—21no—
894Dic3⋊C4—21no—
895Dic3⋊C4—21no—
896Dic3⋊C4—21no—
897Dic3⋊C4—21no—
898Dic3⋊C4—21no—
899Dic3⋊C4—21no—
900Dic3⋊C4—21no—
901Dic3⋊C4—21no—
902Dic3⋊C4—21no—
903Dic3⋊C4—21no—
904Dic3⋊C4—21no—
905Dic3⋊C4—21no—
906Dic3⋊C4—21no—
907Dic3⋊C4—21no—
908Dic3⋊C4—21no—
909Dic3⋊C4—21no—
910Dic3⋊C4—21no—
911Dic3⋊C4—21no—
912Dic3⋊C4—21no—
913Dic3⋊C4—21no—
914Dic3⋊C4C2×D411yescharacteristic
915Dic3⋊C4C2×D411yescharacteristic
916Dic3⋊C4C2×D411yescharacteristic
917Dic3⋊C4C2×D411yescharacteristic
918C4×Dic3—21no—
919C4×Dic3—21no—
920C4×Dic3—21no—
921C4×Dic3—21no—
922C4×Dic3—21no—
923C4×Dic3C2×D411yescharacteristic
924C4×Dic3C2×D411yescharacteristic
925C4×Dic3C2411yescharacteristic
926C4×Dic3C2411yescharacteristic
927#208—41no—
928C2×C3⋊C8—41no—
929C2×C3⋊C8C2411yescharacteristic
930C2×C3⋊C8C2411yescharacteristic
931C2×C3⋊C8C2411yescharacteristic
932C2×C3⋊C8C2411yescharacteristic
933Dic12—41no—
934Dic12—41no—
935#204—41no—
936#204—41no—
937ΓL(1,𝔽25)—41no—
938ΓL(1,𝔽25)—41no—
939D3×C8—41no—
940D3×C8—41no—
9412−1+4—42no—
9422−1+4—42no—
9432−1+4—122no—
9442−1+4—122no—
945C2×#41—21no—
946C2×#41—21no—
947C2×#41—21no—
948C2×#41—31no—
949C2×#41—31no—
950C2×#41—31no—
951C2×#41—31no—
952C2×#41—31no—
953C2×#41—31no—
954C2×#41—61no—
955C2×#41—61no—
956C2×#41—61no—
957C2×#41—61no—
958C2×#41—61no—
959C2×#41—61no—
960C2×#41C22×D311yescharacteristic
961C2×#41C22×D311yescharacteristic
962C2×#41C22×D311yescharacteristic
963C2×#41C22×D311yescharacteristic
964C2×#41C22×D311yescharacteristic
965C22×Q8—21no—
966C22×Q8—31no—
967C22×Q8—31no—
968C22×Q8—31no—
969C22×Q8—61no—
970C22×Q8C22×D311yescharacteristic
971C22×Q8C22×D311yescharacteristic
972C22×Q8C22×D311yescharacteristic
973#137—42no—
974#137—122no—
975#137—122no—
976#137—122no—
977#135—42no—
978#135—122no—
979#135—122no—
980#135—122no—
981C2×Q16—31no—
982C2×Q16—31no—
983C2×Q16—31no—
984C2×Q16—31no—
985C2×Q16—31no—
986C2×Q16—31no—
987C2×Q16—31no—
988C2×Q16C22×D311yescharacteristic
989C2×Q16C22×D311yescharacteristic
990C2×Q16C22×D311yescharacteristic
991C2×SD16—31no—
992C2×SD16—31no—
993C2×SD16—31no—
994C2×SD16—31no—
995C2×SD16—31no—
996C2×SD16—31no—
997C2×SD16—31no—
998C2×SD16—31no—
999C2×SD16C22×D311yescharacteristic
1000C2×SD16C22×D311yescharacteristic
1001C2×SD16C22×D311yescharacteristic
1002C2×SD16C22×D311yescharacteristic
1003C2×D8—31no—
1004C2×D8C22×D311yescharacteristic
1005C2×M16—31no—
1006C2×M16—31no—
1007C2×M16—31no—
1008C2×M16C22×D311yescharacteristic
1009C22×C8—31no—
1010C22×C8—31no—
1011C22×C8—31no—
1012C22×C8C22×D311yescharacteristic
1013C4⋊Q8—31no—
1014C4⋊Q8—31no—
1015C4⋊Q8—31no—
1016C4⋊Q8—31no—
1017C4⋊Q8—31no—
1018C4⋊Q8—31no—
1019C4⋊Q8—31no—
1020C4⋊Q8—31no—
1021C4⋊Q8—61no—
1022C4⋊Q8—61no—
1023C4⋊Q8—61no—
1024C4⋊Q8—61no—
1025C4⋊Q8—61no—
1026C4⋊Q8—61no—
1027C4⋊Q8—61no—
1028C4⋊Q8—61no—
1029#127—31no—
1030#127—31no—
1031#127—61no—
1032#127—61no—
1033#125—61no—
1034#125—61no—
1035#125—61no—
1036#124—31no—
1037#124—31no—
1038#124—61no—
1039#124—61no—
1040#124—61no—
1041#123—61no—
1042#123—61no—
1043#123—61no—
1044#123—61no—
1045#123—61no—
1046#123—61no—
1047#123—61no—
1048#123—61no—
1049#123—61no—
1050#123—61no—
1051#123—61no—
1052#123—61no—
1053#123—61no—
1054#123—61no—
1055#123—61no—
1056#123—61no—
1057#123—61no—
1058#123—61no—
1059#123—61no—
1060#123—61no—
1061C22⋊Q8—21no—
1062C22⋊Q8—31no—
1063C22⋊Q8—31no—
1064C22⋊Q8—31no—
1065C22⋊Q8—31no—
1066C22⋊Q8—31no—
1067C22⋊Q8—31no—
1068C22⋊Q8—31no—
1069C22⋊Q8—31no—
1070C22⋊Q8—31no—
1071C22⋊Q8—31no—
1072C22⋊Q8—31no—
1073C22⋊Q8—31no—
1074C22⋊Q8—61no—
1075C22⋊Q8—61no—
1076C22⋊Q8—61no—
1077C22⋊Q8—61no—
1078C22⋊Q8—61no—
1079C22⋊Q8—61no—
1080C22⋊Q8—61no—
1081C22⋊Q8—61no—
1082C22⋊Q8—61no—
1083C22⋊Q8—61no—
1084C22⋊Q8—61no—
1085C22⋊Q8—61no—
1086C22⋊Q8—61no—
1087C22⋊Q8—61no—
1088C22⋊Q8—61no—
1089C22⋊Q8—61no—
1090C22⋊Q8—61no—
1091C22⋊Q8—61no—
1092C22⋊Q8C22×D311yescharacteristic
1093C22⋊Q8C22×D311yescharacteristic
1094#121—21no—
1095#121—21no—
1096#121—21no—
1097#121—31no—
1098#121—31no—
1099#121—31no—
1100#121—31no—
1101#121—31no—
1102#121—31no—
1103#121—31no—
1104#121—31no—
1105#121—61no—
1106#121—61no—
1107#121—61no—
1108#121—61no—
1109#121—61no—
1110#121—61no—
1111#121—61no—
1112#121—61no—
1113#121—61no—
1114#121—61no—
1115#121—61no—
1116#121—61no—
1117#121—61no—
1118#121—61no—
1119#121—61no—
1120#121—61no—
1121#121—61no—
1122#121—61no—
1123#121—61no—
1124#121—61no—
1125#121C22×D311yescharacteristic
1126#121C22×D311yescharacteristic
1127C4×Q8—31no—
1128C4×Q8—31no—
1129C4×Q8—31no—
1130C4×Q8—31no—
1131C4×Q8—61no—
1132C4×D4—31no—
1133C4×D4—31no—
1134C4×D4—31no—
1135C4×D4—31no—
1136C4×D4—31no—
1137C4×D4—31no—
1138C4×D4—31no—
1139C4×D4—31no—
1140C4×D4—61no—
1141C4×D4—61no—
1142C4×D4—61no—
1143C4×D4—61no—
1144C4×D4—61no—
1145C4×D4—61no—
1146C4×D4—61no—
1147C4×D4—61no—
1148C4×D4—61no—
1149C4×D4—61no—
1150C4×D4—61no—
1151#117—31no—
1152#117—61no—
1153#117—61no—
1154C2×C4⋊C4—31no—
1155C2×C4⋊C4—31no—
1156C2×C4⋊C4—31no—
1157C2×C4⋊C4—61no—
1158C2×C4⋊C4—61no—
1159C2×C4⋊C4—61no—
1160C2×C4⋊C4—61no—
1161C2×C4⋊C4—61no—
1162C2×C4⋊C4—61no—
1163C2×C4⋊C4—61no—
1164C2×C4⋊C4—61no—
1165C2×C4⋊C4C22×D311yescharacteristic
1166C2×C42—31no—
1167C2×C42—61no—
1168#107—31no—
1169#107—31no—
1170#107—31no—
1171#107—31no—
1172#106—31no—
1173#106—31no—
1174#106—31no—
1175#106—31no—
1176C4⋊C8—31no—
1177C4⋊C8—31no—
1178C4⋊C8—31no—
1179C4⋊C8—31no—
1180#103—31no—
1181#103—31no—
1182#103—31no—
1183#103—31no—
1184#103—31no—
1185#103—31no—
1186#103—31no—
1187#103—31no—
1188#103—31no—
1189#103—31no—
1190#103—31no—
1191#103—31no—
1192#103—31no—
1193#103—31no—
1194#103—31no—
1195#103—31no—
1196#103—31no—
1197#103—31no—
1198#103C22×D311yescharacteristic
1199#103C22×D311yescharacteristic
1200#103C22×D311yescharacteristic
1201#103C22×D311yescharacteristic
1202#103C22×D311yescharacteristic
1203#103C22×D311yescharacteristic
1204#102—31no—
1205#102—31no—
1206#102—31no—
1207#102—31no—
1208#102—31no—
1209#102—31no—
1210#102C22×D311yescharacteristic
1211#102C22×D311yescharacteristic
1212C22⋊C8—31no—
1213C22⋊C8—31no—
1214C22⋊C8—31no—
1215C22⋊C8—31no—
1216C22⋊C8—31no—
1217C22⋊C8—31no—
1218C22⋊C8—31no—
1219C22⋊C8—31no—
1220C22⋊C8C22×D311yescharacteristic
1221C22⋊C8C22×D311yescharacteristic
1222C22⋊C8C22×D311yescharacteristic
1223C22⋊C8C22×D311yescharacteristic
1224C4×C8—31no—
1225C4×C8—31no—
1226C4×C8—31no—
1227C4×C8—31no—
1228C23×C3—21no—
1229C23×C3—21no—
1230C23×C3C22×D411yescharacteristic
1231C23×C3C22×D411yescharacteristic
1232C23×C3C22×D411yescharacteristic
1233C22×D3—21no—
1234C22×D3C22×D411yescharacteristic
1235C22×D3C22×D411yescharacteristic
1236C3×Q8—21no—
1237C3×Q8—21no—
1238C3×Q8—21no—
1239C3×Q8—21no—
1240C3×Q8—21no—
1241C3×Q8—21no—
1242C3×Q8—21no—
1243C3×Q8—41no—
1244C3×Q8—42no—
1245C3×Q8—42no—
1246C3×Q8—42no—
1247C3×Q8H(5,𝔽2)12yes—
1248C3×D4—24no—
1249C3×D4—21no—
1250C3×D4—21no—
1251C3×D4—21no—
1252C3×D4—41no—
1253C3×D4—41no—
1254C3×D4—41no—
1255C3×D4—42no—
1256C3×D4—42no—
1257C3×D4—81no—
1258C3×D4—81no—
1259C3×D4—81no—
1260C3×D4H(5,𝔽2)12yes—
1261C2×C3×C4—24no—
1262C2×C3×C4—21no—
1263C2×C3×C4—21no—
1264C2×C3×C4—21no—
1265C2×C3×C4—21no—
1266C2×C3×C4—21no—
1267C2×C3×C4—21no—
1268C2×C3×C4—21no—
1269C2×C3×C4—21no—
1270C2×C3×C4—21no—
1271C2×C3×C4—21no—
1272C2×C3×C4—21no—
1273C2×C3×C4—21no—
1274C2×C3×C4—42no—
1275C2×C3×C4—42no—
1276C2×C3×C4—42no—
1277C2×C3×C4—42no—
1278C2×C3×C4—42no—
1279C2×C3×C4—81no—
1280C2×C3×C4—81no—
1281C2×C3×C4C22×D411yescharacteristic
1282C2×C3×C4C22×D411yescharacteristic
1283C2×C3×C4C22×D411yescharacteristic
1284C2×C3×C4C2511yescharacteristic
1285#67—22no—
1286#67—22no—
1287#67—22no—
1288#67—22no—
1289#67—41no—
1290#67—41no—
1291#67—42no—
1292#67—42no—
1293#67—42no—
1294#67—81no—
1295#67—81no—
1296#67—81no—
1297#67—81no—
1298#67—81no—
1299#67—81no—
1300C2×Dic3—22no—
1301C2×Dic3—22no—
1302C2×Dic3—21no—
1303C2×Dic3—21no—
1304C2×Dic3—21no—
1305C2×Dic3—21no—
1306C2×Dic3—21no—
1307C2×Dic3—21no—
1308C2×Dic3—21no—
1309C2×Dic3—42no—
1310C2×Dic3—42no—
1311C2×Dic3—42no—
1312C2×Dic3—42no—
1313C2×Dic3—42no—
1314C2×Dic3—42no—
1315C2×Dic3—81no—
1316C2×Dic3—81no—
1317C2×Dic3C22×D411yescharacteristic
1318C2×Dic3C22×D411yescharacteristic
1319C2×Dic3C22×D411yescharacteristic
1320C2×Dic3C22×D411yescharacteristic
1321C2×Dic3C22×D411yescharacteristic
1322C2×Dic3C22×D411yescharacteristic
1323D12—21no—
1324D12—21no—
1325D12—41no—
1326D12—81no—
1327D12—81no—
1328C4×D3—21no—
1329C4×D3—21no—
1330C4×D3—21no—
1331C4×D3—21no—
1332C4×D3—42no—
1333C4×D3—42no—
1334C4×D3—42no—
1335C4×D3—81no—
1336C4×D3—81no—
1337C4×D3—81no—
1338C4×D3—81no—
1339Dic6—21no—
1340Dic6—21no—
1341Dic6—21no—
1342Dic6—21no—
1343Dic6—21no—
1344Dic6—21no—
1345Dic6—41no—
1346Dic6—42no—
1347Dic6—42no—
1348Dic6—42no—
1349Dic6—42no—
1350Dic6—81no—
1351C3×C8—21no—
1352C3×C8—21no—
1353C3×C8—21no—
1354C3×C8—21no—
1355C3⋊C8—21no—
1356C3⋊C8—21no—
1357C3⋊C8—21no—
1358C3⋊C8—21no—
1359#41—22no—
1360#41—22no—
1361#41—22no—
1362#41—22no—
1363#41—41no—
1364#41—41no—
1365#41—41no—
1366#41—41no—
1367#41—44no—
1368#41—41no—
1369#41—41no—
1370#41—44no—
1371#41—44no—
1372#41—62no—
1373#41—62no—
1374#41—121no—
1375#41—121no—
1376#41—124no—
1377#41—121no—
1378#41—121no—
1379#41—121no—
1380#41—121no—
1381#41—121no—
1382#41—121no—
1383#41—121no—
1384#41—121no—
1385#41—124no—
1386#41—124no—
1387#41—242no—
1388#41—242no—
1389#41—242no—
1390C2×Q8—21no—
1391C2×Q8—21no—
1392C2×Q8—21no—
1393C2×Q8—22no—
1394C2×Q8—22no—
1395C2×Q8—31no—
1396C2×Q8—31no—
1397C2×Q8—31no—
1398C2×Q8—31no—
1399C2×Q8—41no—
1400C2×Q8—41no—
1401C2×Q8—41no—
1402C2×Q8—41no—
1403C2×Q8—44no—
1404C2×Q8—61no—
1405C2×Q8—61no—
1406C2×Q8—61no—
1407C2×Q8—61no—
1408C2×Q8—61no—
1409C2×Q8—62no—
1410C2×Q8—62no—
1411C2×Q8—121no—
1412C2×Q8—121no—
1413C2×Q8—124no—
1414C2×Q8—121no—
1415C2×Q8—121no—
1416C2×Q8D3×D411yescharacteristic
1417C2×Q8C23×D311yescharacteristic
1418C2×Q8C23×D311yescharacteristic
1419C2×Q8C23×D311yescharacteristic
1420C2×Q8C23×D311yescharacteristic
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—31no—
1428C2×D4—31no—
1429C2×D4—31no—
1430C2×D4—31no—
1431C2×D4—31no—
1432C2×D4—31no—
1433C2×D4—31no—
1434C2×D4—31no—
1435C2×D4—61no—
1436C2×D4—61no—
1437C2×D4—61no—
1438C2×D4—61no—
1439C2×D4—61no—
1440C2×D4—61no—
1441C2×D4—61no—
1442C2×D4—61no—
1443C2×D4—61no—
1444C2×D4—61no—
1445C2×D4—61no—
1446C2×D4D3×D411yescharacteristic
1447C2×D4D3×D411yescharacteristic
1448C2×D4D3×D411yescharacteristic
1449C2×D4C23×D311yescharacteristic
1450C2×D4C23×D311yescharacteristic
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—31no—
1460C22×C4—31no—
1461C22×C4—31no—
1462C22×C4—31no—
1463C22×C4—61no—
1464C22×C4—61no—
1465C22×C4—61no—
1466C22×C4—61no—
1467C22×C4—61no—
1468C22×C4—61no—
1469C22×C4—61no—
1470C22×C4—61no—
1471C22×C4—61no—
1472C22×C4—61no—
1473C22×C4—61no—
1474C22×C4—61no—
1475C22×C4—61no—
1476C22×C4—61no—
1477C22×C4—61no—
1478C22×C4C23×D311yescharacteristic
1479C22×C4C23×D311yescharacteristic
1480C22×C4C23×D311yescharacteristic
1481Q16—22no—
1482Q16—41no—
1483Q16—41no—
1484Q16—62no—
1485Q16—121no—
1486Q16—121no—
1487Q16—121no—
1488Q16—121no—
1489Q16—121no—
1490Q16—121no—
1491SD16—22no—
1492SD16—22no—
1493SD16—41no—
1494SD16—41no—
1495SD16—62no—
1496SD16—62no—
1497SD16—121no—
1498SD16—121no—
1499SD16—121no—
1500SD16—121no—
1501SD16—121no—
1502SD16—121no—
1503D8—22no—
1504D8—62no—
1505M16—41no—
1506M16—121no—
1507M16—121no—
1508M16—121no—
1509C2×C8—31no—
1510C2×C8—31no—
1511C2×C8—31no—
1512C2×C8—31no—
1513C2×C8—41no—
1514C2×C8—121no—
1515C2×C8—121no—
1516C2×C8—121no—
1517C2×C8C23×D311yescharacteristic
1518C2×C8C23×D311yescharacteristic
1519C2×C8C23×D311yescharacteristic
1520C2×C8C23×D311yescharacteristic
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—31no—
1525C4⋊C4—31no—
1526C4⋊C4—31no—
1527C4⋊C4—31no—
1528C4⋊C4—31no—
1529C4⋊C4—31no—
1530C4⋊C4—31no—
1531C4⋊C4—31no—
1532C4⋊C4—61no—
1533C4⋊C4—61no—
1534C4⋊C4—61no—
1535C4⋊C4—61no—
1536C4⋊C4—61no—
1537C4⋊C4—61no—
1538C4⋊C4—61no—
1539C4⋊C4—61no—
1540C4⋊C4—61no—
1541C4⋊C4—61no—
1542C4⋊C4—61no—
1543C4⋊C4—61no—
1544C4⋊C4—61no—
1545C4⋊C4—61no—
1546C4⋊C4—61no—
1547C4⋊C4—61no—
1548C4⋊C4—61no—
1549C4⋊C4—61no—
1550C4⋊C4—61no—
1551C4⋊C4—61no—
1552C4⋊C4—61no—
1553C4⋊C4—61no—
1554C4⋊C4—61no—
1555C4⋊C4—61no—
1556C4⋊C4—61no—
1557C4⋊C4—61no—
1558C4⋊C4—61no—
1559C4⋊C4—61no—
1560C4⋊C4—61no—
1561C4⋊C4—61no—
1562C4⋊C4—61no—
1563C4⋊C4C23×D311yescharacteristic
1564C4⋊C4C23×D311yescharacteristic
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—31no—
1570C22⋊C4—31no—
1571C22⋊C4—31no—
1572C22⋊C4—31no—
1573C22⋊C4—31no—
1574C22⋊C4—31no—
1575C22⋊C4—31no—
1576C22⋊C4—31no—
1577C22⋊C4—61no—
1578C22⋊C4—61no—
1579C22⋊C4—61no—
1580C22⋊C4—61no—
1581C22⋊C4—61no—
1582C22⋊C4—61no—
1583C22⋊C4—61no—
1584C22⋊C4—61no—
1585C22⋊C4—61no—
1586C22⋊C4—61no—
1587C22⋊C4—61no—
1588C22⋊C4—61no—
1589C22⋊C4—61no—
1590C22⋊C4—61no—
1591C22⋊C4—61no—
1592C22⋊C4—61no—
1593C22⋊C4—61no—
1594C22⋊C4—61no—
1595C22⋊C4—61no—
1596C22⋊C4—61no—
1597C22⋊C4—61no—
1598C42—31no—
1599C42—31no—
1600C42—31no—
1601C42—31no—
1602C42—61no—
1603C42—61no—
1604C42—61no—
1605C42—61no—
1606C42—61no—
1607C22×C3—21no—
1608C22×C3—22no—
1609C22×C3—21no—
1610C22×C3—21no—
1611C22×C3—21no—
1612C22×C3—21no—
1613C22×C3—21no—
1614C22×C3—21no—
1615C22×C3—21no—
1616C22×C3—21no—
1617C22×C3—41no—
1618C22×C3—41no—
1619C22×C3—41no—
1620C22×C3—41no—
1621C22×C3—41no—
1622C22×C3C23×D411yescharacteristic
1623C2×D3—21no—
1624C2×D3—21no—
1625C2×D3—21no—
1626C2×D3—21no—
1627C2×D3—21no—
1628C2×D3—21no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C3×C4—21no—
1633C3×C4—22no—
1634C3×C4—21no—
1635C3×C4—21no—
1636C3×C4—41no—
1637C3×C4—41no—
1638C3×C4—41no—
1639C3×C4—41no—
1640C3×C4—41no—
1641C3×C4C2×H(5,𝔽2)11yescharacteristic
1642C3×C4C2×H(5,𝔽2)11yescharacteristic
1643Dic3—21no—
1644Dic3—21no—
1645Dic3—21no—
1646Dic3—21no—
1647Dic3—41no—
1648Dic3—41no—
1649Dic3—41no—
1650Dic3—41no—
1651Dic3—41no—
1652Dic3—41no—
1653Dic3—41no—
1654Dic3#57712yes—
1655Dic3#57812yes—
1656C23—21no—
1657C23—21no—
1658C23—31no—
1659C23—31no—
1660C23—61no—
1661C23C2×D3×D411yescharacteristic
1662C23C2×D3×D411yescharacteristic
1663C23C2×D3×D411yescharacteristic
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—41no—
1672Q8—42no—
1673Q8—42no—
1674Q8—42no—
1675Q8—61no—
1676Q8—61no—
1677Q8—61no—
1678Q8—61no—
1679Q8—61no—
1680Q8—61no—
1681Q8—121no—
1682Q8—122no—
1683Q8—122no—
1684Q8—122no—
1685Q8—122no—
1686Q8—241no—
1687Q8#100412yes—
1688D4—24no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—41no—
1693D4—41no—
1694D4—41no—
1695D4—42no—
1696D4—42no—
1697D4—62no—
1698D4—62no—
1699D4—62no—
1700D4—62no—
1701D4—61no—
1702D4—61no—
1703D4—81no—
1704D4—81no—
1705D4—81no—
1706D4—121no—
1707D4—122no—
1708D4—121no—
1709D4—121no—
1710D4—122no—
1711D4—122no—
1712D4—241no—
1713D4—241no—
1714D4—241no—
1715D4—241no—
1716D4—241no—
1717D4—241no—
1718D4—241no—
1719D4—241no—
1720D4#100412yes—
1721C2×C4—24no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—31no—
1735C2×C4—31no—
1736C2×C4—31no—
1737C2×C4—31no—
1738C2×C4—31no—
1739C2×C4—31no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—42no—
1745C2×C4—62no—
1746C2×C4—62no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—81no—
1759C2×C4—81no—
1760C2×C4—122no—
1761C2×C4—122no—
1762C2×C4—122no—
1763C2×C4—122no—
1764C2×C4—122no—
1765C2×C4—122no—
1766C2×C4—122no—
1767C2×C4—122no—
1768C2×C4—122no—
1769C2×C4—241no—
1770C2×C4—241no—
1771C2×C4—241no—
1772C2×C4—241no—
1773C2×C4—241no—
1774C2×C4—241no—
1775C2×C4C2×D3×D411yescharacteristic
1776C2×C4C2×D3×D411yescharacteristic
1777C2×C4C2×D3×D411yescharacteristic
1778C2×C4C24×D311yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—61no—
1784C8—61no—
1785C8—61no—
1786C8—61no—
1787C2×C3—41no—
1788C2×C3—41no—
1789C2×C3—41no—
1790C2×C3—42no—
1791C2×C3—81no—
1792C2×C3#348411yescharacteristic
1793C2×C3C2×#57711yescharacteristic
1794C2×C3C2×#57811yescharacteristic
1795D3—41no—
1796D3—41no—
1797D3—81no—
1798C22—21no—
1799C22—22no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—61no—
1814C22—61no—
1815C22—61no—
1816C22—61no—
1817C22—61no—
1818C22—61no—
1819C22—121no—
1820C22—121no—
1821C22—121no—
1822C22C22×D3×D411yescharacteristic
1823C4—21no—
1824C4—22no—
1825C4—21no—
1826C4—21no—
1827C4—32no—
1828C4—32no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—61no—
1835C4—61no—
1836C4—61no—
1837C4—61no—
1838C4—121no—
1839C4—121no—
1840C4—121no—
1841C4—121no—
1842C4—121no—
1843C4—121no—
1844C4—121no—
1845C4C2×#100411yescharacteristic
1846C4C2×#100411yescharacteristic
1847C3#6166711yescharacteristic, complemented, Sylow
1848C2—41no—
1849C2—41no—
1850C2—41no—
1851C2—42no—
1852C2—81no—
1853C2—121no—
1854C2—121no—
1855C2—241no—
1856C2#8591911yescharacteristic
1857C2D3×#57711yescharacteristic
1858C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3013C2
socleC22×C3C23×D4
hypercenter#3013D3
hypocenterC3#61667
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3013

Complements

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

NH ≅ G/Ntype
1. #87292C2semidirect
2. #86374C2semidirect
3. C3×#3013C2semidirect
4. #84114C2semidirect
5. #83997C2semidirect
6. #83996C2semidirect
7. #83927C2semidirect
8. #83926C2semidirect
9. #83428C2semidirect
10. #80269C2semidirect
11. #80260C2semidirect
12. #80232C2semidirect
13. #80213C2semidirect
14. #80206C2semidirect
15. #80193C2semidirect
16. #80191C2semidirect
17. #80178C2semidirect
18. #80130C2semidirect
19. #80116C2semidirect
20. #80088C2semidirect
21. #80069C2semidirect
22. #80066C2semidirect
23. #80049C2semidirect
24. #80048C2semidirect
25. #80034C2semidirect
26. #78907C2semidirect
27. #78906C2semidirect
28. #78806C2semidirect
29. #78805C2semidirect
30. #78681C2semidirect
31. #78667C2semidirect
233. #3013D3semidirect
1847. C3#61667semidirect

Maximal subgroups

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

subgroupindex
#872922
#863742
C3×#30132
#841142
#839972
#839962
#839272
#839262
#834282
#802692
#802602
#802322
#802132
#802062
#801932
#801912
#801782
#801302
#801162
#800882
#800692
#800662
#800492
#800482
#800342
#789072
#789062
#788062
#788052
#786812
#786672
#616673