Finite Group Databasebeta

← #11673182

Subgroups — #11673182

Order 768.

2068 conjugacy classes of subgroups.

The subgroup lattice has 1816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86961C211yesmaximal, characteristic, complemented
2#86737C211yesmaximal, characteristic, complemented
3C3×#3321C211yesmaximal, characteristic, complemented
4#83656C211yesmaximal, characteristic, complemented
5#83538C211yesmaximal, characteristic, complemented
6#81701C211yesmaximal, characteristic, complemented
7#81683C211yesmaximal, characteristic, complemented
8#81554C211yesmaximal, characteristic, complemented
9#81521C211yesmaximal, characteristic, complemented
10#81406C211yesmaximal, characteristic, complemented
11#81377C211yesmaximal, characteristic, complemented
12#81024C211yesmaximal, characteristic, complemented
13D3×#475C211yesmaximal, characteristic, complemented
14#80887C211yesmaximal, characteristic, complemented
15#80866C211yesmaximal, characteristic, complemented
16#80689C211yesmaximal, characteristic, complemented
17#80660C211yesmaximal, characteristic, complemented
18#80564C211yesmaximal, characteristic, complemented
19#80533C211yesmaximal, characteristic, complemented
20#80117C211yesmaximal, characteristic, complemented
21#80088C211yesmaximal, characteristic, complemented
22#80049C211yesmaximal, characteristic, complemented
23#80042C211yesmaximal, characteristic, complemented
24#79805C211yesmaximal, characteristic, complemented
25#79774C211yesmaximal, characteristic, complemented
26#79513C211yesmaximal, characteristic, complemented
27#79484C211yesmaximal, characteristic, complemented
28#78972C211yesmaximal, characteristic, complemented
29#78957C211yesmaximal, characteristic, complemented
30#78851C211yesmaximal, characteristic, complemented
31#78832C211yesmaximal, characteristic, complemented
32#61202—31nomaximal, Sylow
33C2×#1010C2211yescharacteristic
34C2×#1007C2211yescharacteristic
35C3×#555C2211yescharacteristic
36C3×#548C2211yescharacteristic
37#5834C2211yescharacteristic
38Q8×#67C2211yescharacteristic
39C2×#916C2211yescharacteristic
40C2×#915C2211yescharacteristic
41C2×#912C2211yescharacteristic
42C2×#907C2211yescharacteristic
43C2×#901C2211yescharacteristic
44#5730C2211yescharacteristic
45D3×C4⋊Q8C2211yescharacteristic
46#5677—21no—
47#5677—21no—
48#5677—21no—
49#5677C2211yescharacteristic
50#5669—21no—
51#5669—21no—
52#5668—21no—
53#5668C2211yescharacteristic
54#5632—21no—
55#5632C2211yescharacteristic
56#5629—21no—
57#5629C2211yescharacteristic
58#5614—21no—
59#5611C2211yescharacteristic
60#5611C2211yescharacteristic
61#5608—21no—
62#5608C2211yescharacteristic
63#5608C2211yescharacteristic
64#5608C2211yescharacteristic
65#5599—21no—
66#5599C2211yescharacteristic
67#5596—21no—
68#5576C2211yescharacteristic
69C4×D3×Q8C2211yescharacteristic
70#5563C2211yescharacteristic
71#5552—21no—
72#5552C2211yescharacteristic
73#5548—21no—
74#5548C2211yescharacteristic
75#5543C2211yescharacteristic
76C4×#237C2211yescharacteristic
77#5533C2211yescharacteristic
78#5533C2211yescharacteristic
79#5530—21no—
80#5523C2211yescharacteristic
81#5523C2211yescharacteristic
82#5517—21no—
83C3×#489C2211yescharacteristic
84C3×#485C2211yescharacteristic
85C3×#482C2211yescharacteristic
86C3×#475C2211yescharacteristic
87C3×#469C2211yescharacteristic
88C3×#465C2211yescharacteristic
89C3×#463C2211yescharacteristic
90C3×#449C2211yescharacteristic
91C3×#448C2211yescharacteristic
92C3×#440C2211yescharacteristic
93C3×#435C2211yescharacteristic
94C3×#419C2211yescharacteristic
95C3×#416C2211yescharacteristic
96#5239C2211yescharacteristic
97#5232C2211yescharacteristic
98#5228C2211yescharacteristic
99C2×#835C2211yescharacteristic
100#5172C2211yescharacteristic
101#5171C2211yescharacteristic
102#5170C2211yescharacteristic
103#5170C2211yescharacteristic
104#5162C2211yescharacteristic
105Dic3×SD16C2211yescharacteristic
106#5159C2211yescharacteristic
107#5158C2211yescharacteristic
108#5150C2211yescharacteristic
109#5137C2211yescharacteristic
110#5133C2211yescharacteristic
111#5128C2211yescharacteristic
112#5114C2211yescharacteristic
113C8×#67C2211yescharacteristic
114C2×#816C2211yescharacteristic
115#5094C2211yescharacteristic
116#5089C2211yescharacteristic
117#5055C2211yescharacteristic
118#5054C2211yescharacteristic
119#5052C2211yescharacteristic
120#5043C2211yescharacteristic
121#5041C2211yescharacteristic
122#5041C2211yescharacteristic
123#5040C2211yescharacteristic
124#5039C2211yescharacteristic
125#5037C2211yescharacteristic
126#5034C2211yescharacteristic
127#5030C2211yescharacteristic
128#5020C2211yescharacteristic
129#5018C2211yescharacteristic
130#5016C2211yescharacteristic
131#5011C2211yescharacteristic
132#5004C2211yescharacteristic
133#5003C2211yescharacteristic
134#5002C2211yescharacteristic
135#4996C2211yescharacteristic
136#4888C2211yescharacteristic
137#4885C2211yescharacteristic
138#4881C2211yescharacteristic
139#4873C2211yescharacteristic
140#4867C2211yescharacteristic
141#4864C2211yescharacteristic
142#4863C2211yescharacteristic
143#4862C2211yescharacteristic
144D3×#106C2211yescharacteristic
145D3×#106C2211yescharacteristic
146#4854C2211yescharacteristic
147#4854C2211yescharacteristic
148#4851C2211yescharacteristic
149#4845C2211yescharacteristic
150#4836C2211yescharacteristic
151D3×C4⋊C8C2211yescharacteristic
152#4816C2211yescharacteristic
153#4815C2211yescharacteristic
154#4809C2211yescharacteristic
155#4809C2211yescharacteristic
156#4808C2211yescharacteristic
157#4805C2211yescharacteristic
158#4804C2211yescharacteristic
159#4804C2211yescharacteristic
160#4803C2211yescharacteristic
161#4803C2211yescharacteristic
162#4803C2211yescharacteristic
163#4802C2211yescharacteristic
164#4802C2211yescharacteristic
165#4802C2211yescharacteristic
166D3×#103C2211yescharacteristic
167D3×#103C2211yescharacteristic
168D3×#103C2211yescharacteristic
169D3×#103C2211yescharacteristic
170#4795C2211yescharacteristic
171#4792C2211yescharacteristic
172#4792C2211yescharacteristic
173#4791C2211yescharacteristic
174#4791C2211yescharacteristic
175#4790C2211yescharacteristic
176#4783C2211yescharacteristic
177#4782C2211yescharacteristic
178#4779C2211yescharacteristic
179#4778C2211yescharacteristic
180#4778C2211yescharacteristic
181#4777C2211yescharacteristic
182#4772C2211yescharacteristic
183#4772C2211yescharacteristic
184#4771C2211yescharacteristic
185#4771C2211yescharacteristic
186#4771C2211yescharacteristic
187#4771C2211yescharacteristic
188#4762C2211yescharacteristic
189#4760C2211yescharacteristic
190#4760C2211yescharacteristic
191#4758C2211yescharacteristic
192#4739C2211yescharacteristic
193#4735C2211yescharacteristic
194#4733C2211yescharacteristic
195#4729C2211yescharacteristic
196#4727C2211yescharacteristic
197#4727C2211yescharacteristic
198#67⋊C8C2211yescharacteristic
199#4721C2211yescharacteristic
200#4716C2211yescharacteristic
201#4714C2211yescharacteristic
202#4707C2211yescharacteristic
203#4706C2211yescharacteristic
204#3511—31no—
205#3497—31no—
206#3332—31no—
207#3332—31no—
208#3328—31no—
209#3328—31no—
210#3321—31no—
211#3321—31no—
212#3321—31no—
213#3321D311yescharacteristic, complemented
214#3316—31no—
215#3316—31no—
216#3316—31no—
217#3316—31no—
218#3304—31no—
219#3304—31no—
220#3298—31no—
221#3298—31no—
222#3141—31no—
223#3099—31no—
224#3099—31no—
225C2×#475—31no—
226#3060—31no—
227#3060—31no—
228#3035—31no—
229#3013—31no—
230#3013—31no—
231C4×#137—31no—
232#2935—31no—
233#2898—31no—
234#2898—31no—
235C2×C3×#41C2311yescharacteristic
236C22×C3×Q8C2311yescharacteristic
237#1010—24no—
238#1010—42no—
239#1007—24no—
240#1007—42no—
241C2×#239—21no—
242C2×#239C2311yescharacteristic
243C2×#239C2311yescharacteristic
244C2×D3×Q8—21no—
245C2×D3×Q8—21no—
246C2×D3×Q8C2311yescharacteristic
247C2×D3×Q8C2311yescharacteristic
248C2×D3×Q8C2311yescharacteristic
249C2×#237—21no—
250C2×#237—21no—
251C2×#237—21no—
252C2×#237—21no—
253C2×#237C2311yescharacteristic
254C2×#237C2311yescharacteristic
255C2×#237C2311yescharacteristic
256C2×#235—21no—
257C2×#235—21no—
258C2×#235—21no—
259C2×#235C2311yescharacteristic
260C2×#235C2311yescharacteristic
261C2×#235C2311yescharacteristic
262C22×Dic6—21no—
263C22×Dic6C2311yescharacteristic
264C2×C3×SD16C2311yescharacteristic
265C2×C3×SD16C2311yescharacteristic
266C2×C3×D8C2311yescharacteristic
267C2×C3×M16C2311yescharacteristic
268C22×C3×C8C2311yescharacteristic
269C3×C4⋊Q8C2311yescharacteristic
270C3×#124—21no—
271C3×#124—21no—
272C3×#124—21no—
273C3×#124C2311yescharacteristic
274C3×C22⋊Q8—21no—
275C3×C22⋊Q8C2311yescharacteristic
276C3×#121—21no—
277C3×#121—21no—
278C3×#121C2311yescharacteristic
279C3×#121C2311yescharacteristic
280C3×#121C2311yescharacteristic
281C3×C4×Q8C2311yescharacteristic
282C3×C4×D4—21no—
283C3×C4×D4C2311yescharacteristic
284C3×C4×D4C2311yescharacteristic
285C3×#117—21no—
286C3×#117C2311yescharacteristic
287C3×#117C2311yescharacteristic
288#946—21no—
289#946—21no—
290#946—21no—
291#946C2311yescharacteristic
292Q8×Dic3C2311yescharacteristic
293#944—21no—
294#944—21no—
295#944C2311yescharacteristic
296C2×#216C2311yescharacteristic
297C2×#216C2311yescharacteristic
298#940—21no—
299#940—21no—
300#940D411yescharacteristic
301#940C2311yescharacteristic
302#939—21no—
303#939—21no—
304#939—21no—
305#939—21no—
306#939—21no—
307#938—21no—
308#938—21no—
309#938—21no—
310#938—21no—
311#938D411yescharacteristic
312#938C2311yescharacteristic
313#938C2311yescharacteristic
314#938C2311yescharacteristic
315#935—21no—
316#935—21no—
317D4×Dic3—21no—
318D4×Dic3C2311yescharacteristic
319C2×#214C2311yescharacteristic
320C2×#214C2311yescharacteristic
321C2×#214C2311yescharacteristic
322C2×#213C2311yescharacteristic
323#930—21no—
324#930—21no—
325#930C2311yescharacteristic
326C4×#67—21no—
327C4×#67—21no—
328C4×#67—21no—
329C4×#67C2311yescharacteristic
330C4×#67C2311yescharacteristic
331#926—21no—
332C2×C4⋊Dic3C2311yescharacteristic
333C2×C4⋊Dic3C2311yescharacteristic
334#924—21no—
335#924C2311yescharacteristic
336#924C2311yescharacteristic
337#924C2311yescharacteristic
338C2×C4×Dic3—21no—
339C2×#208C2311yescharacteristic
340C22×C3⋊C8C2311yescharacteristic
341#916—42no—
342#915—24no—
343#912—42no—
344#907—42no—
345C2×Dic12C2311yescharacteristic
346C2×Dic12C2311yescharacteristic
347C2×#204C2311yescharacteristic
348#901—42no—
349C2×ΓL(1,𝔽25)C2311yescharacteristic
350C2×ΓL(1,𝔽25)C2311yescharacteristic
351C2×ΓL(1,𝔽25)C2311yescharacteristic
352C2×ΓL(1,𝔽25)C2311yescharacteristic
353C2×D3×C8C2311yescharacteristic
354C2×D3×C8C2311yescharacteristic
355C2×D3×C8C2311yescharacteristic
356C2×D3×C8C2311yescharacteristic
357#897—21no—
358#897C2311yescharacteristic
359#897C2311yescharacteristic
360#897C2311yescharacteristic
361#896—21no—
362#896—21no—
363#896—21no—
364#895—21no—
365#895—21no—
366#895D411yescharacteristic
367#895C2311yescharacteristic
368#893—21no—
369#892C2311yescharacteristic
370#892C2311yescharacteristic
371#892C2311yescharacteristic
372D3×C4⋊C4—21no—
373D3×C4⋊C4—21no—
374D3×C4⋊C4C2311yescharacteristic
375D3×C4⋊C4C2311yescharacteristic
376D3×C4⋊C4C2311yescharacteristic
377D3×C4⋊C4C2311yescharacteristic
378D3×C4⋊C4C2311yescharacteristic
379#890—21no—
380#890—21no—
381#888—21no—
382#888—21no—
383#888D411yescharacteristic
384#888C2311yescharacteristic
385#888C2311yescharacteristic
386#887—21no—
387#887C2311yescharacteristic
388#887C2311yescharacteristic
389#885—21no—
390#885—21no—
391#885—21no—
392#885—21no—
393#885—21no—
394#885—21no—
395#885D411yescharacteristic
396#885D411yescharacteristic
397#884—21no—
398#884—21no—
399#884—21no—
400#884—21no—
401#884—21no—
402#884—21no—
403#884—21no—
404#884—21no—
405#884—21no—
406#884D411yescharacteristic
407#884D411yescharacteristic
408#883—21no—
409#883—21no—
410#67⋊C4—21no—
411#67⋊C4—21no—
412#67⋊C4—21no—
413#67⋊C4—21no—
414#67⋊C4—21no—
415#67⋊C4—21no—
416#67⋊C4—21no—
417#67⋊C4—21no—
418#67⋊C4—21no—
419#67⋊C4—21no—
420#67⋊C4—21no—
421#879—21no—
422#879—21no—
423#878—21no—
424#878—21no—
425#878—21no—
426#878—21no—
427#878—21no—
428#878—21no—
429#878—21no—
430#878—21no—
431#878—21no—
432#877—21no—
433#876—21no—
434#876—21no—
435#875—21no—
436#875C2311yescharacteristic
437C4×D12—21no—
438C4×D12—21no—
439C4×D12—21no—
440C4×D12C2311yescharacteristic
441C42×D3—21no—
442C42×D3C2311yescharacteristic
443#869C2311yescharacteristic
444C4×Dic6—21no—
445C4×Dic6—21no—
446C4×Dic6—21no—
447C4×Dic6—21no—
448C4×Dic6—21no—
449C4×Dic6C2311yescharacteristic
450C4×Dic6C2311yescharacteristic
451C3×#107C2311yescharacteristic
452C3×#106C2311yescharacteristic
453C3×#106C2311yescharacteristic
454C3×C4⋊C8C2311yescharacteristic
455C3×#103C2311yescharacteristic
456C3×#103C2311yescharacteristic
457C3×#103C2311yescharacteristic
458C3×#103C2311yescharacteristic
459C3×#103C2311yescharacteristic
460C3×#103C2311yescharacteristic
461C3×#102C2311yescharacteristic
462C3×#102C2311yescharacteristic
463C3×#102C2311yescharacteristic
464C3×#102C2311yescharacteristic
465C3×C22⋊C8C2311yescharacteristic
466C3×C22⋊C8C2311yescharacteristic
467C3×#97C2311yescharacteristic
468#835C2311yescharacteristic
469#835C2311yescharacteristic
470#835C2311yescharacteristic
471#835C2311yescharacteristic
472#835C2311yescharacteristic
473#835C2311yescharacteristic
474#832C2311yescharacteristic
475#832C2311yescharacteristic
476#832C2311yescharacteristic
477#832C2311yescharacteristic
478#830C2311yescharacteristic
479#830C2311yescharacteristic
480#821C2311yescharacteristic
481#821C2311yescharacteristic
482#821C2311yescharacteristic
483(C2×D3)⋊C8C2311yescharacteristic
484(C2×D3)⋊C8C2311yescharacteristic
485(C2×D3)⋊C8C2311yescharacteristic
486(C2×D3)⋊C8C2311yescharacteristic
487#817C2311yescharacteristic
488#817C2311yescharacteristic
489#817C2311yescharacteristic
490#816C2311yescharacteristic
491#816C2311yescharacteristic
492#816C2311yescharacteristic
493#816C2311yescharacteristic
494#816C2311yescharacteristic
495#816C2311yescharacteristic
496#816C2311yescharacteristic
497Dic3⋊C8C2311yescharacteristic
498Dic3⋊C8C2311yescharacteristic
499C8×Dic3C2311yescharacteristic
500C8×Dic3C2311yescharacteristic
501#810C2311yescharacteristic
502#810C2311yescharacteristic
503#810C2311yescharacteristic
504#810C2311yescharacteristic
505#810C2311yescharacteristic
506#810C2311yescharacteristic
507#810C2311yescharacteristic
508#809C2311yescharacteristic
509#809C2311yescharacteristic
510#809C2311yescharacteristic
511#808C2311yescharacteristic
512#808C2311yescharacteristic
513#808C2311yescharacteristic
514#808C2311yescharacteristic
515#808C2311yescharacteristic
516#807C2311yescharacteristic
517C4⋊(C3⋊C8)C2311yescharacteristic
518#803C2311yescharacteristic
519C2×2−1+4—31no—
520C2×2−1+4—31no—
521C2×#137—31no—
522C2×#135—31no—
523C2×#135—31no—
524C2×#131—31no—
525C2×#131—31no—
526#556—31no—
527#556—31no—
528#555—31no—
529#555C2×D311yescharacteristic
530#554—31no—
531#554—31no—
532#553—61no—
533#553—61no—
534#550—31no—
535#550—31no—
536#550—61no—
537D4×Q8—31no—
538D4×Q8—31no—
539D4×Q8—61no—
540#548—31no—
541#548—31no—
542#548—31no—
543#548—61no—
544#548—61no—
545#548—61no—
546#548—61no—
547#548C2×D311yescharacteristic
548#547—31no—
549#547—31no—
550#542—61no—
551#542—61no—
552#537—31no—
553#537—31no—
554#537—31no—
555#537—31no—
556#537—61no—
557#537—61no—
558#533—61no—
559#532—31no—
560#532—31no—
561#532—61no—
562#532—61no—
563#532—61no—
564C2×C4⋊Q8—31no—
565#520—31no—
566#520—31no—
567C4×#41—31no—
568C2×C4×Q8—31no—
569#489—31no—
570#489—31no—
571#489—31no—
572#489C2×D311yescharacteristic
573#487—31no—
574#487—31no—
575#486—31no—
576#486—31no—
577#485—31no—
578#485—31no—
579#485—31no—
580#485C2×D311yescharacteristic
581#483—31no—
582#483—31no—
583#483—31no—
584#483—31no—
585#482—31no—
586#482—31no—
587#482—31no—
588#482C2×D311yescharacteristic
589#481—31no—
590#481—31no—
591#481—31no—
592#481—31no—
593#475—31no—
594#475—31no—
595#475—31no—
596#475—31no—
597#475—31no—
598#475—31no—
599#475—31no—
600#475C2×D311yescharacteristic
601#470—31no—
602#470—31no—
603#470—31no—
604#470—31no—
605#469—31no—
606#469—31no—
607#469—31no—
608#469C2×D311yescharacteristic
609#465—31no—
610#465—31no—
611#465—31no—
612#465—31no—
613#465—31no—
614#465—31no—
615#465—31no—
616#465C2×D311yescharacteristic
617#464—31no—
618#464—31no—
619#463—31no—
620#463C2×D311yescharacteristic
621#462—31no—
622#461—31no—
623#460—31no—
624#459—31no—
625#452—31no—
626#452—31no—
627#452—31no—
628#452—31no—
629#451—31no—
630#451—31no—
631#451—31no—
632#451—31no—
633#449—31no—
634#449—31no—
635#449—31no—
636#449C2×D311yescharacteristic
637#448—31no—
638#448—31no—
639#448—31no—
640#448C2×D311yescharacteristic
641#441—31no—
642#441—31no—
643#440—31no—
644#440C2×D311yescharacteristic
645C4×Q16—31no—
646C4×Q16—31no—
647C4×SD16—31no—
648C4×SD16—31no—
649#436—31no—
650#436—31no—
651#435—31no—
652#435—31no—
653#435—31no—
654#435C2×D311yescharacteristic
655C8×D4—31no—
656C8×D4—31no—
657#428—31no—
658C2×#106—31no—
659C2×#106—31no—
660C2×C4⋊C8—31no—
661#419—31no—
662#419—31no—
663#419—31no—
664#419—31no—
665#419C2×D311yescharacteristic
666#417—31no—
667#417—31no—
668#417—31no—
669#417—31no—
670#417—31no—
671#417—31no—
672#417—31no—
673#417—31no—
674#417—31no—
675#416—31no—
676#416—31no—
677#416—31no—
678#416—31no—
679#416—31no—
680#416C2×D311yescharacteristic
681C2×#103—31no—
682C2×#103—31no—
683C2×#103—31no—
684C2×#103—31no—
685C2×#103—31no—
686C2×#103—31no—
687#408—31no—
688#408—31no—
689C4×M16—31no—
690C3×#41—22no—
691C3×#41—41no—
692C2×C3×Q8—21no—
693C2×C3×Q8—21no—
694C2×C3×Q8—22no—
695C2×C3×Q8—41no—
696C2×C3×Q8C2411yescharacteristic
697C2×C3×Q8C2411yescharacteristic
698C2×C3×D4—21no—
699C2×C3×D4—21no—
700C2×C3×D4—21no—
701C2×C3×D4—21no—
702C2×C3×D4C2×D411yescharacteristic
703C2×C3×D4C2411yescharacteristic
704C2×C3×D4C2411yescharacteristic
705C22×C3×C4—21no—
706C22×C3×C4—21no—
707C22×C3×C4—21no—
708C22×C3×C4C2411yescharacteristic
709C22×C3×C4C2411yescharacteristic
710C2×#67—21no—
711C2×#67—21no—
712C2×#67—21no—
713C2×#67—21no—
714C2×#67—21no—
715C2×#67—21no—
716C2×#67—21no—
717C2×#67—21no—
718C2×#67—21no—
719C2×#67—21no—
720C2×#67C2×D411yescharacteristic
721C2×#67C2×D411yescharacteristic
722C2×#67C2×D411yescharacteristic
723C2×#67C2×D411yescharacteristic
724C2×#67C2×D411yescharacteristic
725C2×#67C2×D411yescharacteristic
726C22×Dic3—21no—
727C22×Dic3—21no—
728C22×Dic3—21no—
729C22×Dic3—21no—
730C22×Dic3—21no—
731C22×Dic3—21no—
732C22×Dic3—21no—
733#239—22no—
734#239—22no—
735#239—22no—
736#239—41no—
737#239—44no—
738D3×Q8—22no—
739D3×Q8—22no—
740D3×Q8—22no—
741D3×Q8—44no—
742D3×Q8—41no—
743D3×Q8—41no—
744D3×Q8—82no—
745D3×Q8#4114yescomplemented
746#237—22no—
747#237—22no—
748#237—22no—
749#237—22no—
750#237—22no—
751#237—41no—
752#237—44no—
753#237—44no—
754#237—82no—
755#237—82no—
756#235—22no—
757#235—22no—
758#235—22no—
759#235—22no—
760#235—22no—
761#235—41no—
762#235—44no—
763#235—44no—
764#235—44no—
765C2×D12—21no—
766C2×D12—21no—
767C2×D12—21no—
768C2×D12C2×D411yescharacteristic
769C2×D12C2×D411yescharacteristic
770C2×D12C2×D411yescharacteristic
771C2×D12C2411yescharacteristic
772C2×C4×D3—21no—
773C2×C4×D3—21no—
774C2×C4×D3—21no—
775C2×C4×D3—21no—
776C2×C4×D3—21no—
777C2×C4×D3—21no—
778C2×C4×D3—21no—
779C2×C4×D3—21no—
780C2×C4×D3—21no—
781C2×C4×D3—21no—
782C2×C4×D3—21no—
783C2×C4×D3C2×D411yescharacteristic
784C2×C4×D3C2×D411yescharacteristic
785C2×C4×D3C2411yescharacteristic
786C2×C4×D3C2411yescharacteristic
787C2×C4×D3C2411yescharacteristic
788C2×Dic6—21no—
789C2×Dic6—22no—
790C2×Dic6—21no—
791C2×Dic6—21no—
792C2×Dic6—21no—
793C2×Dic6—21no—
794C2×Dic6—21no—
795C2×Dic6—21no—
796C2×Dic6—41no—
797C2×Dic6—44no—
798C2×Dic6C2×D411yescharacteristic
799C2×Dic6C2×D411yescharacteristic
800C2×Dic6C2411yescharacteristic
801C2×Dic6C2411yescharacteristic
802C2×Dic6C2411yescharacteristic
803C3×SD16—22no—
804C3×SD16—41no—
805C3×D8—41no—
806C3×M16—41no—
807C2×C3×C8—41no—
808C2×C3×C8C2411yescharacteristic
809C2×C3×C8C2411yescharacteristic
810C2×C3×C8C2411yescharacteristic
811C2×C3×C8C2411yescharacteristic
812C3×C4⋊C4—21no—
813C3×C4⋊C4—21no—
814C3×C4⋊C4—21no—
815C3×C4⋊C4C2×D411yescharacteristic
816C3×C4⋊C4C2411yescharacteristic
817C3×C4⋊C4C2411yescharacteristic
818C3×C4⋊C4C2411yescharacteristic
819C3×C4⋊C4C2411yescharacteristic
820C3×C22⋊C4—21no—
821C3×C22⋊C4—21no—
822C3×C22⋊C4—21no—
823C3×C22⋊C4—21no—
824C3×C22⋊C4—21no—
825C3×C22⋊C4—21no—
826C3×C22⋊C4—21no—
827C3×C22⋊C4—21no—
828C3×C22⋊C4—21no—
829C3×C22⋊C4C2×D411yescharacteristic
830C3×C22⋊C4C2×D411yescharacteristic
831C3×C42—21no—
832C3×C42—21no—
833C3×C42—21no—
834C3×C42C2411yescharacteristic
835#217—21no—
836#217—21no—
837#217—21no—
838#217—21no—
839#217—21no—
840#217—21no—
841#217—21no—
842#217C2×D411yescharacteristic
843#217C2×D411yescharacteristic
844#216—22no—
845#216—41no—
846#214—22no—
847#214—41no—
848#214—41no—
849#213—41no—
850(C2×D3)⋊C4—21no—
851(C2×D3)⋊C4—21no—
852(C2×D3)⋊C4—21no—
853(C2×D3)⋊C4—21no—
854(C2×D3)⋊C4—21no—
855(C2×D3)⋊C4—21no—
856(C2×D3)⋊C4—21no—
857(C2×D3)⋊C4—21no—
858(C2×D3)⋊C4—21no—
859(C2×D3)⋊C4—21no—
860(C2×D3)⋊C4—21no—
861(C2×D3)⋊C4C2×D411yescharacteristic
862(C2×D3)⋊C4C2×D411yescharacteristic
863(C2×D3)⋊C4C2×D411yescharacteristic
864(C2×D3)⋊C4C2×D411yescharacteristic
865C4⋊Dic3—21no—
866C4⋊Dic3—21no—
867C4⋊Dic3—21no—
868C4⋊Dic3—21no—
869C4⋊Dic3—21no—
870C4⋊Dic3—21no—
871C4⋊Dic3—21no—
872C4⋊Dic3C2×D411yescharacteristic
873C4⋊Dic3C2411yescharacteristic
874C4⋊Dic3C2411yescharacteristic
875C4⋊Dic3C2411yescharacteristic
876C4⋊Dic3C2411yescharacteristic
877Dic3⋊C4—21no—
878Dic3⋊C4—21no—
879Dic3⋊C4—21no—
880Dic3⋊C4—21no—
881Dic3⋊C4—21no—
882Dic3⋊C4—21no—
883Dic3⋊C4—21no—
884Dic3⋊C4—21no—
885Dic3⋊C4—21no—
886Dic3⋊C4—21no—
887Dic3⋊C4—21no—
888Dic3⋊C4—21no—
889Dic3⋊C4—21no—
890Dic3⋊C4—21no—
891Dic3⋊C4—21no—
892Dic3⋊C4—21no—
893Dic3⋊C4—21no—
894Dic3⋊C4C2×D411yescharacteristic
895Dic3⋊C4C2×D411yescharacteristic
896C4×Dic3—21no—
897C4×Dic3—21no—
898C4×Dic3—21no—
899C4×Dic3—21no—
900C4×Dic3—21no—
901C4×Dic3—21no—
902C4×Dic3—21no—
903C4×Dic3—21no—
904C4×Dic3C2×D411yescharacteristic
905C4×Dic3C2×D411yescharacteristic
906C4×Dic3C2411yescharacteristic
907#208—41no—
908C2×C3⋊C8—41no—
909C2×C3⋊C8C2411yescharacteristic
910C2×C3⋊C8C2411yescharacteristic
911C2×C3⋊C8C2411yescharacteristic
912C2×C3⋊C8C2411yescharacteristic
913Dic12—22no—
914Dic12—41no—
915#204—41no—
916ΓL(1,𝔽25)—22no—
917ΓL(1,𝔽25)—22no—
918ΓL(1,𝔽25)—41no—
919ΓL(1,𝔽25)—41no—
920D3×C8—22no—
921D3×C8—22no—
922D3×C8—41no—
923D3×C8—41no—
9242−1+4—64no—
9252−1+4—64no—
9262−1+4—122no—
9272−1+4—122no—
928C2×#41—31no—
929C2×#41—31no—
930C2×#41—31no—
931C2×#41—31no—
932C2×#41—31no—
933C2×#41—31no—
934C2×#41—31no—
935C2×#41—31no—
936C2×#41—61no—
937C2×#41—61no—
938C2×#41—61no—
939C2×#41—61no—
940C2×#41—61no—
941C2×#41—61no—
942C2×#41—61no—
943C2×#41—61no—
944C2×#41C22×D311yescharacteristic
945C22×Q8—31no—
946C22×Q8—31no—
947C22×Q8—31no—
948C22×Q8—31no—
949C22×Q8—61no—
950C22×Q8—61no—
951C22×Q8—61no—
952C22×Q8C22×D311yescharacteristic
953#137—64no—
954#135—122no—
955#135—122no—
956C2×Q16—31no—
957C2×Q16—31no—
958C2×Q16—31no—
959C2×Q16—31no—
960C2×SD16—31no—
961C2×SD16—31no—
962C2×SD16—31no—
963C2×SD16—31no—
964C2×SD16C22×D311yescharacteristic
965C2×SD16C22×D311yescharacteristic
966C2×D8—31no—
967C2×D8C22×D311yescharacteristic
968#131—122no—
969#131—122no—
970C2×M16—31no—
971C2×M16—31no—
972C2×M16—31no—
973C2×M16—31no—
974C2×M16—31no—
975C2×M16C22×D311yescharacteristic
976C22×C8—31no—
977C22×C8—31no—
978C22×C8—31no—
979C22×C8—31no—
980C22×C8—31no—
981C22×C8C22×D311yescharacteristic
982C4⋊Q8—31no—
983C4⋊Q8—31no—
984C4⋊Q8—31no—
985C4⋊Q8—31no—
986C4⋊Q8—31no—
987C4⋊Q8—61no—
988C4⋊Q8—61no—
989C4⋊Q8—61no—
990C4⋊Q8—61no—
991C4⋊Q8C22×D311yescharacteristic
992#127—31no—
993#127—31no—
994#127—61no—
995#127—61no—
996#126—61no—
997#126—61no—
998#126—61no—
999#126—61no—
1000#125—61no—
1001#125—61no—
1002#124—21no—
1003#124—21no—
1004#124—21no—
1005#124—31no—
1006#124—31no—
1007#124—31no—
1008#124—61no—
1009#124—61no—
1010#124—61no—
1011#124—61no—
1012#124—61no—
1013#124—61no—
1014#124—61no—
1015#124C22×D311yescharacteristic
1016#123—61no—
1017#123—61no—
1018#123—61no—
1019#123—61no—
1020C22⋊Q8—21no—
1021C22⋊Q8—31no—
1022C22⋊Q8—31no—
1023C22⋊Q8—31no—
1024C22⋊Q8—31no—
1025C22⋊Q8—31no—
1026C22⋊Q8—31no—
1027C22⋊Q8—31no—
1028C22⋊Q8—61no—
1029C22⋊Q8—61no—
1030C22⋊Q8—61no—
1031C22⋊Q8—61no—
1032C22⋊Q8—61no—
1033C22⋊Q8—61no—
1034C22⋊Q8—61no—
1035C22⋊Q8—61no—
1036C22⋊Q8—61no—
1037C22⋊Q8—61no—
1038C22⋊Q8—61no—
1039C22⋊Q8—61no—
1040C22⋊Q8—61no—
1041C22⋊Q8—61no—
1042C22⋊Q8—61no—
1043C22⋊Q8—61no—
1044C22⋊Q8—61no—
1045C22⋊Q8C22×D311yescharacteristic
1046#121—21no—
1047#121—21no—
1048#121—31no—
1049#121—31no—
1050#121—31no—
1051#121—31no—
1052#121—31no—
1053#121—31no—
1054#121—31no—
1055#121—31no—
1056#121—31no—
1057#121—61no—
1058#121—61no—
1059#121—61no—
1060#121—61no—
1061#121—61no—
1062#121—61no—
1063#121—61no—
1064#121—61no—
1065#121—61no—
1066#121—61no—
1067#121—61no—
1068#121—61no—
1069#121—61no—
1070#121—61no—
1071#121—61no—
1072#121—61no—
1073#121—61no—
1074#121—61no—
1075#121—61no—
1076#121—61no—
1077#121—61no—
1078#121—61no—
1079#121C22×D311yescharacteristic
1080#121C22×D311yescharacteristic
1081#121C22×D311yescharacteristic
1082C4×Q8—31no—
1083C4×Q8—31no—
1084C4×Q8—31no—
1085C4×Q8—31no—
1086C4×Q8—31no—
1087C4×Q8—61no—
1088C4×Q8—61no—
1089C4×Q8—61no—
1090C4×Q8—61no—
1091C4×Q8—61no—
1092C4×Q8—61no—
1093C4×Q8C22×D311yescharacteristic
1094C4×D4—21no—
1095C4×D4—31no—
1096C4×D4—31no—
1097C4×D4—31no—
1098C4×D4—31no—
1099C4×D4—61no—
1100C4×D4—61no—
1101C4×D4—61no—
1102C4×D4—61no—
1103C4×D4—61no—
1104C4×D4—61no—
1105C4×D4—61no—
1106C4×D4—61no—
1107C4×D4—61no—
1108C4×D4—61no—
1109C4×D4—61no—
1110C4×D4—61no—
1111C4×D4—61no—
1112C4×D4—61no—
1113C4×D4—61no—
1114C4×D4—61no—
1115C4×D4—61no—
1116C4×D4—61no—
1117C4×D4—61no—
1118C4×D4C22×D311yescharacteristic
1119C4×D4C22×D311yescharacteristic
1120#117—21no—
1121#117—31no—
1122#117—31no—
1123#117—31no—
1124#117—61no—
1125#117—61no—
1126#117C22×D311yescharacteristic
1127#117C22×D311yescharacteristic
1128C2×C4⋊C4—31no—
1129C2×C4⋊C4—31no—
1130C2×C4⋊C4—31no—
1131C2×C4⋊C4—31no—
1132C2×C4⋊C4—31no—
1133C2×C4⋊C4—31no—
1134C2×C4⋊C4—31no—
1135C2×C4⋊C4—61no—
1136C2×C4⋊C4—61no—
1137C2×C42—31no—
1138C2×C42—61no—
1139C2×C42—61no—
1140#107—31no—
1141#107C22×D311yescharacteristic
1142#106—31no—
1143#106—31no—
1144#106—31no—
1145#106—31no—
1146#106—31no—
1147#106—31no—
1148#106—31no—
1149#106—31no—
1150#106C22×D311yescharacteristic
1151#106C22×D311yescharacteristic
1152C4⋊C8—31no—
1153C4⋊C8—31no—
1154C4⋊C8—31no—
1155C4⋊C8C22×D311yescharacteristic
1156#103—31no—
1157#103—31no—
1158#103—31no—
1159#103—31no—
1160#103—31no—
1161#103—31no—
1162#103—31no—
1163#103—31no—
1164#103—31no—
1165#103—31no—
1166#103—31no—
1167#103—31no—
1168#103—31no—
1169#103—31no—
1170#103—31no—
1171#103—31no—
1172#103—31no—
1173#103—31no—
1174#103—31no—
1175#103—31no—
1176#103C22×D311yescharacteristic
1177#103C22×D311yescharacteristic
1178#103C22×D311yescharacteristic
1179#103C22×D311yescharacteristic
1180#103C22×D311yescharacteristic
1181#103C22×D311yescharacteristic
1182#102—31no—
1183#102—31no—
1184#102—31no—
1185#102—31no—
1186#102—31no—
1187#102—31no—
1188#102—31no—
1189#102—31no—
1190#102—31no—
1191#102—31no—
1192#102C22×D311yescharacteristic
1193#102C22×D311yescharacteristic
1194#102C22×D311yescharacteristic
1195#102C22×D311yescharacteristic
1196C22⋊C8—31no—
1197C22⋊C8—31no—
1198C22⋊C8—31no—
1199C22⋊C8—31no—
1200C22⋊C8—31no—
1201C22⋊C8—31no—
1202C22⋊C8C22×D311yescharacteristic
1203C22⋊C8C22×D311yescharacteristic
1204#97—31no—
1205#97C22×D311yescharacteristic
1206C4×C8—31no—
1207C4×C8—31no—
1208C23×C3—21no—
1209C23×C3—21no—
1210C23×C3C22×D411yescharacteristic
1211C23×C3C22×D411yescharacteristic
1212C22×D3—21no—
1213C22×D3C22×D411yescharacteristic
1214C22×D3C22×D411yescharacteristic
1215C22×D3C22×D411yescharacteristic
1216C3×Q8—21no—
1217C3×Q8—21no—
1218C3×Q8—21no—
1219C3×Q8—42no—
1220C3×Q8—81no—
1221C3×Q8C2×#4112yes—
1222C3×D4—21no—
1223C3×D4—21no—
1224C3×D4—21no—
1225C3×D4—21no—
1226C3×D4—41no—
1227C3×D4—42no—
1228C3×D4—81no—
1229C3×D4—81no—
1230C3×D4—81no—
1231C2×C3×C4—21no—
1232C2×C3×C4—21no—
1233C2×C3×C4—21no—
1234C2×C3×C4—21no—
1235C2×C3×C4—21no—
1236C2×C3×C4—21no—
1237C2×C3×C4—21no—
1238C2×C3×C4—21no—
1239C2×C3×C4—21no—
1240C2×C3×C4—21no—
1241C2×C3×C4—42no—
1242C2×C3×C4—42no—
1243C2×C3×C4—42no—
1244C2×C3×C4C22×D411yescharacteristic
1245C2×C3×C4C22×D411yescharacteristic
1246C2×C3×C4C22×D411yescharacteristic
1247C2×C3×C4C22×D411yescharacteristic
1248C2×C3×C4C2511yescharacteristic
1249#67—22no—
1250#67—22no—
1251#67—22no—
1252#67—22no—
1253#67—22no—
1254#67—22no—
1255#67—42no—
1256#67—42no—
1257#67—42no—
1258#67—42no—
1259#67—42no—
1260#67—81no—
1261#67—81no—
1262#67—81no—
1263#67—81no—
1264#67—81no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—21no—
1271C2×Dic3—21no—
1272C2×Dic3—42no—
1273C2×Dic3—42no—
1274C2×Dic3—42no—
1275C2×Dic3—42no—
1276C2×Dic3—42no—
1277C2×Dic3—81no—
1278C2×Dic3—81no—
1279C2×Dic3C22×D411yescharacteristic
1280C2×Dic3C22×D411yescharacteristic
1281C2×Dic3C22×D411yescharacteristic
1282C2×Dic3C22×D411yescharacteristic
1283C2×Dic3C22×D411yescharacteristic
1284D12—22no—
1285D12—22no—
1286D12—21no—
1287D12—21no—
1288D12—41no—
1289D12—42no—
1290D12—42no—
1291D12—81no—
1292C4×D3—24no—
1293C4×D3—21no—
1294C4×D3—21no—
1295C4×D3—21no—
1296C4×D3—21no—
1297C4×D3—22no—
1298C4×D3—41no—
1299C4×D3—42no—
1300C4×D3—42no—
1301C4×D3—42no—
1302C4×D3—42no—
1303C4×D3—42no—
1304C4×D3—81no—
1305C4×D3—81no—
1306C4×D3—81no—
1307C4×D3—81no—
1308C4×D3—81no—
1309C4×D3C2×#4112yes—
1310C4×D3H(5,𝔽2)12yes—
1311Dic6—21no—
1312Dic6—24no—
1313Dic6—22no—
1314Dic6—22no—
1315Dic6—21no—
1316Dic6—21no—
1317Dic6—21no—
1318Dic6—21no—
1319Dic6—42no—
1320Dic6—42no—
1321Dic6—42no—
1322Dic6—42no—
1323Dic6—42no—
1324Dic6—81no—
1325Dic6C2×#4112yes—
1326C3×C8—21no—
1327C3×C8—21no—
1328C3×C8—21no—
1329C3×C8—21no—
1330C3⋊C8—21no—
1331C3⋊C8—21no—
1332C3⋊C8—21no—
1333C3⋊C8—21no—
1334#41—22no—
1335#41—41no—
1336#41—62no—
1337#41—62no—
1338#41—62no—
1339#41—62no—
1340#41—62no—
1341#41—62no—
1342#41—62no—
1343#41—62no—
1344#41—62no—
1345#41—62no—
1346#41—62no—
1347#41—62no—
1348#41—62no—
1349#41—121no—
1350#41—124no—
1351#41—124no—
1352#41—124no—
1353#41—121no—
1354#41—124no—
1355#41—121no—
1356#41—124no—
1357#41—124no—
1358#41—242no—
1359#41—242no—
1360C2×Q8—21no—
1361C2×Q8—21no—
1362C2×Q8—22no—
1363C2×Q8—31no—
1364C2×Q8—31no—
1365C2×Q8—34no—
1366C2×Q8—31no—
1367C2×Q8—31no—
1368C2×Q8—31no—
1369C2×Q8—41no—
1370C2×Q8—61no—
1371C2×Q8—61no—
1372C2×Q8—61no—
1373C2×Q8—61no—
1374C2×Q8—61no—
1375C2×Q8—62no—
1376C2×Q8—62no—
1377C2×Q8—61no—
1378C2×Q8—61no—
1379C2×Q8—62no—
1380C2×Q8—62no—
1381C2×Q8—121no—
1382C2×Q8—124no—
1383C2×Q8—121no—
1384C2×Q8—121no—
1385C2×Q8—124no—
1386C2×Q8—242no—
1387C2×Q8C23×D311yescharacteristic
1388C2×Q8C23×D311yescharacteristic
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—31no—
1394C2×D4—31no—
1395C2×D4—31no—
1396C2×D4—31no—
1397C2×D4—31no—
1398C2×D4—31no—
1399C2×D4—31no—
1400C2×D4—31no—
1401C2×D4—31no—
1402C2×D4—31no—
1403C2×D4—61no—
1404C2×D4—61no—
1405C2×D4—61no—
1406C2×D4—61no—
1407C2×D4—61no—
1408C2×D4—61no—
1409C2×D4—61no—
1410C2×D4—61no—
1411C2×D4—61no—
1412C2×D4—61no—
1413C2×D4—61no—
1414C2×D4—61no—
1415C2×D4—61no—
1416C2×D4D3×D411yescharacteristic
1417C2×D4C23×D311yescharacteristic
1418C2×D4C23×D311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—31no—
1423C22×C4—31no—
1424C22×C4—31no—
1425C22×C4—31no—
1426C22×C4—31no—
1427C22×C4—61no—
1428C22×C4—61no—
1429C22×C4—61no—
1430C22×C4—61no—
1431C22×C4—61no—
1432C22×C4—61no—
1433C22×C4—61no—
1434C22×C4—61no—
1435C22×C4—61no—
1436C22×C4—61no—
1437C22×C4—61no—
1438C22×C4—61no—
1439C22×C4—61no—
1440C22×C4—61no—
1441C22×C4—61no—
1442C22×C4—61no—
1443C22×C4—61no—
1444C22×C4—61no—
1445C22×C4C23×D311yescharacteristic
1446C22×C4C23×D311yescharacteristic
1447Q16—62no—
1448Q16—62no—
1449Q16—121no—
1450Q16—121no—
1451SD16—22no—
1452SD16—41no—
1453SD16—62no—
1454SD16—121no—
1455SD16—121no—
1456SD16—121no—
1457D8—41no—
1458D8—121no—
1459M16—41no—
1460M16—62no—
1461M16—62no—
1462M16—121no—
1463M16—121no—
1464M16—121no—
1465C2×C8—31no—
1466C2×C8—31no—
1467C2×C8—31no—
1468C2×C8—31no—
1469C2×C8—41no—
1470C2×C8—62no—
1471C2×C8—62no—
1472C2×C8—121no—
1473C2×C8—121no—
1474C2×C8—121no—
1475C2×C8C23×D311yescharacteristic
1476C2×C8C23×D311yescharacteristic
1477C2×C8C23×D311yescharacteristic
1478C2×C8C23×D311yescharacteristic
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—31no—
1483C4⋊C4—31no—
1484C4⋊C4—31no—
1485C4⋊C4—31no—
1486C4⋊C4—31no—
1487C4⋊C4—31no—
1488C4⋊C4—31no—
1489C4⋊C4—61no—
1490C4⋊C4—61no—
1491C4⋊C4—61no—
1492C4⋊C4—61no—
1493C4⋊C4—61no—
1494C4⋊C4—61no—
1495C4⋊C4—61no—
1496C4⋊C4—61no—
1497C4⋊C4—61no—
1498C4⋊C4—61no—
1499C4⋊C4—61no—
1500C4⋊C4—61no—
1501C4⋊C4—61no—
1502C4⋊C4—61no—
1503C4⋊C4—61no—
1504C4⋊C4—61no—
1505C4⋊C4—61no—
1506C4⋊C4—61no—
1507C4⋊C4—61no—
1508C4⋊C4—61no—
1509C4⋊C4—61no—
1510C4⋊C4—61no—
1511C4⋊C4—61no—
1512C4⋊C4—61no—
1513C4⋊C4D3×D411yescharacteristic
1514C4⋊C4C23×D311yescharacteristic
1515C4⋊C4C23×D311yescharacteristic
1516C4⋊C4C23×D311yescharacteristic
1517C4⋊C4C23×D311yescharacteristic
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—31no—
1528C22⋊C4—31no—
1529C22⋊C4—31no—
1530C22⋊C4—31no—
1531C22⋊C4—31no—
1532C22⋊C4—31no—
1533C22⋊C4—61no—
1534C22⋊C4—61no—
1535C22⋊C4—61no—
1536C22⋊C4—61no—
1537C22⋊C4—61no—
1538C22⋊C4—61no—
1539C22⋊C4—61no—
1540C22⋊C4—61no—
1541C22⋊C4—61no—
1542C22⋊C4—61no—
1543C22⋊C4—61no—
1544C22⋊C4—61no—
1545C22⋊C4—61no—
1546C22⋊C4—61no—
1547C22⋊C4—61no—
1548C22⋊C4—61no—
1549C22⋊C4—61no—
1550C22⋊C4—61no—
1551C22⋊C4D3×D411yescharacteristic
1552C22⋊C4D3×D411yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—31no—
1557C42—31no—
1558C42—31no—
1559C42—61no—
1560C42—61no—
1561C42—61no—
1562C42—61no—
1563C42—61no—
1564C42—61no—
1565C42—61no—
1566C42—61no—
1567C42C23×D311yescharacteristic
1568C22×C3—21no—
1569C22×C3—21no—
1570C22×C3—21no—
1571C22×C3—21no—
1572C22×C3—21no—
1573C22×C3—21no—
1574C22×C3—41no—
1575C22×C3—41no—
1576C22×C3—41no—
1577C22×C3—41no—
1578C22×C3—41no—
1579C22×C3—41no—
1580C22×C3C23×D411yescharacteristic
1581C2×D3—21no—
1582C2×D3—21no—
1583C2×D3—21no—
1584C2×D3—21no—
1585C2×D3—21no—
1586C2×D3—21no—
1587C2×D3—21no—
1588C2×D3—21no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3#54612yes—
1593C3×C4—21no—
1594C3×C4—21no—
1595C3×C4—22no—
1596C3×C4—21no—
1597C3×C4—21no—
1598C3×C4—41no—
1599C3×C4—41no—
1600C3×C4—41no—
1601C3×C4—41no—
1602C3×C4—41no—
1603C3×C4C22×#4111yescharacteristic
1604C3×C4C2×H(5,𝔽2)11yescharacteristic
1605Dic3—21no—
1606Dic3—22no—
1607Dic3—21no—
1608Dic3—21no—
1609Dic3—41no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
1615Dic3#54612yes—
1616Dic3#57712yes—
1617C23—21no—
1618C23—21no—
1619C23—31no—
1620C23—31no—
1621C23—31no—
1622C23—61no—
1623C23C2×D3×D411yescharacteristic
1624C23C2×D3×D411yescharacteristic
1625Q8—21no—
1626Q8—21no—
1627Q8—21no—
1628Q8—32no—
1629Q8—42no—
1630Q8—64no—
1631Q8—62no—
1632Q8—62no—
1633Q8—61no—
1634Q8—61no—
1635Q8—61no—
1636Q8—61no—
1637Q8—61no—
1638Q8—81no—
1639Q8—122no—
1640Q8—122no—
1641Q8—122no—
1642Q8—122no—
1643Q8—122no—
1644Q8—241no—
1645Q8D3×#4112yes—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—41no—
1651D4—42no—
1652D4—62no—
1653D4—62no—
1654D4—62no—
1655D4—62no—
1656D4—62no—
1657D4—62no—
1658D4—62no—
1659D4—62no—
1660D4—61no—
1661D4—61no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—121no—
1666D4—122no—
1667D4—122no—
1668D4—122no—
1669D4—122no—
1670D4—122no—
1671D4—122no—
1672D4—122no—
1673D4—241no—
1674D4—241no—
1675D4—241no—
1676D4—241no—
1677D4—241no—
1678D4—241no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—31no—
1690C2×C4—31no—
1691C2×C4—32no—
1692C2×C4—32no—
1693C2×C4—31no—
1694C2×C4—31no—
1695C2×C4—31no—
1696C2×C4—42no—
1697C2×C4—42no—
1698C2×C4—42no—
1699C2×C4—62no—
1700C2×C4—64no—
1701C2×C4—61no—
1702C2×C4—61no—
1703C2×C4—61no—
1704C2×C4—61no—
1705C2×C4—61no—
1706C2×C4—61no—
1707C2×C4—61no—
1708C2×C4—61no—
1709C2×C4—61no—
1710C2×C4—61no—
1711C2×C4—61no—
1712C2×C4—121no—
1713C2×C4—122no—
1714C2×C4—122no—
1715C2×C4—122no—
1716C2×C4—122no—
1717C2×C4—122no—
1718C2×C4—122no—
1719C2×C4—122no—
1720C2×C4—122no—
1721C2×C4—122no—
1722C2×C4—122no—
1723C2×C4—241no—
1724C2×C4—241no—
1725C2×C4—241no—
1726C2×C4—241no—
1727C2×C4—241no—
1728C2×C4—241no—
1729C2×C4—241no—
1730C2×C4C2×D3×D411yescharacteristic
1731C2×C4C2×D3×D411yescharacteristic
1732C2×C4C2×D3×D411yescharacteristic
1733C2×C4C2×D3×D411yescharacteristic
1734C2×C4C24×D311yescharacteristic
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C8—21no—
1739C8—61no—
1740C8—61no—
1741C8—61no—
1742C8—61no—
1743C2×C3—41no—
1744C2×C3—41no—
1745C2×C3—81no—
1746C2×C3—81no—
1747C2×C3C2×#54611yescharacteristic
1748C2×C3C2×#57711yescharacteristic
1749C2×C3#358611yescharacteristic
1750D3—22no—
1751D3—41no—
1752D3—41no—
1753D3—81no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—32no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—61no—
1768C22—61no—
1769C22—61no—
1770C22—61no—
1771C22—61no—
1772C22—61no—
1773C22—61no—
1774C22—61no—
1775C22—121no—
1776C22—121no—
1777C22—121no—
1778C22C22×D3×D411yescharacteristic
1779C4—21no—
1780C4—21no—
1781C4—22no—
1782C4—21no—
1783C4—21no—
1784C4—32no—
1785C4—32no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—61no—
1792C4—61no—
1793C4—62no—
1794C4—61no—
1795C4—121no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C4C2×D3×#4111yescharacteristic
1802C4D3×H(5,𝔽2)11yescharacteristic
1803C3#6120211yescharacteristic, complemented, Sylow
1804C2—41no—
1805C2—41no—
1806C2—62no—
1807C2—81no—
1808C2—81no—
1809C2—121no—
1810C2—121no—
1811C2—241no—
1812C2D3×#54611yescharacteristic
1813C2#8720111yescharacteristic
1814C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3321C2
socleC22×C3C23×D4
hypercenter#3321D3
hypocenterC3#61202
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #86961C2semidirect
2. #86737C2semidirect
3. C3×#3321C2semidirect
4. #83656C2semidirect
5. #83538C2semidirect
6. #81701C2semidirect
7. #81683C2semidirect
8. #81554C2semidirect
9. #81521C2semidirect
10. #81406C2semidirect
11. #81377C2semidirect
12. #81024C2semidirect
13. D3×#475C2semidirect
14. #80887C2semidirect
15. #80866C2semidirect
16. #80689C2semidirect
17. #80660C2semidirect
18. #80564C2semidirect
19. #80533C2semidirect
20. #80117C2semidirect
21. #80088C2semidirect
22. #80049C2semidirect
23. #80042C2semidirect
24. #79805C2semidirect
25. #79774C2semidirect
26. #79513C2semidirect
27. #79484C2semidirect
28. #78972C2semidirect
29. #78957C2semidirect
30. #78851C2semidirect
31. #78832C2semidirect
213. #3321D3semidirect
745. D3×Q8#41semidirect
1803. C3#61202semidirect

Maximal subgroups

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

subgroupindex
#869612
#867372
C3×#33212
#836562
#835382
#817012
#816832
#815542
#815212
#814062
#813772
#810242
D3×#4752
#808872
#808662
#806892
#806602
#805642
#805332
#801172
#800882
#800492
#800422
#798052
#797742
#795132
#794842
#789722
#789572
#788512
#788322
#612023