Finite Group Databasebeta

← #11673199

Subgroups — #11673199

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#86985C211yesmaximal, characteristic, complemented
2#86737C211yesmaximal, characteristic, complemented
3C3×#3313C211yesmaximal, characteristic, complemented
4#83674C211yesmaximal, characteristic, complemented
5#83536C211yesmaximal, characteristic, complemented
6#81697C211yesmaximal, characteristic, complemented
7#81683C211yesmaximal, characteristic, complemented
8#81555C211yesmaximal, characteristic, complemented
9#81520C211yesmaximal, characteristic, complemented
10#81407C211yesmaximal, characteristic, complemented
11#81376C211yesmaximal, characteristic, complemented
12#81121C211yesmaximal, characteristic, complemented
13D3×#477C211yesmaximal, characteristic, complemented
14#80847C211yesmaximal, characteristic, complemented
15#80808C211yesmaximal, characteristic, complemented
16#80781C211yesmaximal, characteristic, complemented
17#80761C211yesmaximal, characteristic, complemented
18#80618C211yesmaximal, characteristic, complemented
19#80597C211yesmaximal, characteristic, complemented
20#80261C211yesmaximal, characteristic, complemented
21#80232C211yesmaximal, characteristic, complemented
22#80193C211yesmaximal, characteristic, complemented
23#80186C211yesmaximal, characteristic, complemented
24#79842C211yesmaximal, characteristic, complemented
25#79829C211yesmaximal, characteristic, complemented
26#79509C211yesmaximal, characteristic, complemented
27#79484C211yesmaximal, characteristic, complemented
28#78973C211yesmaximal, characteristic, complemented
29#78957C211yesmaximal, characteristic, complemented
30#78852C211yesmaximal, characteristic, complemented
31#78832C211yesmaximal, characteristic, complemented
32#61203—31nomaximal, Sylow
33C2×#1010C2211yescharacteristic
34C2×#1007C2211yescharacteristic
35C3×#556C2211yescharacteristic
36C3×#548C2211yescharacteristic
37#5834C2211yescharacteristic
38Q8×#67C2211yescharacteristic
39C2×#919C2211yescharacteristic
40C2×#918C2211yescharacteristic
41C2×#916C2211yescharacteristic
42C2×#907C2211yescharacteristic
43C2×#901C2211yescharacteristic
44#5726C2211yescharacteristic
45D3×C4⋊Q8C2211yescharacteristic
46#5710—21no—
47#5710—21no—
48#5709—21no—
49#5709—21no—
50#5677—21no—
51#5677—21no—
52#5677C2211yescharacteristic
53#5668—21no—
54#5668—21no—
55#5668C2211yescharacteristic
56#5635C2211yescharacteristic
57#5635C2211yescharacteristic
58#5632—21no—
59#5632C2211yescharacteristic
60#5629—21no—
61#5629C2211yescharacteristic
62#5629C2211yescharacteristic
63#5629C2211yescharacteristic
64#5608—21no—
65#5608C2211yescharacteristic
66#5599—21no—
67#5599C2211yescharacteristic
68#5584C2211yescharacteristic
69#5578—21no—
70#5576—21no—
71#5576C2211yescharacteristic
72C4×#239C2211yescharacteristic
73C4×D3×Q8C2211yescharacteristic
74#5555C2211yescharacteristic
75#5552—21no—
76#5552C2211yescharacteristic
77#5548—21no—
78#5548C2211yescharacteristic
79#5532C2211yescharacteristic
80#5532C2211yescharacteristic
81#5523C2211yescharacteristic
82#5523C2211yescharacteristic
83C3×#489C2211yescharacteristic
84C3×#485C2211yescharacteristic
85C3×#482C2211yescharacteristic
86C3×#477C2211yescharacteristic
87C3×#468C2211yescharacteristic
88C3×#467C2211yescharacteristic
89C3×#464C2211yescharacteristic
90C3×#452C2211yescharacteristic
91C3×#451C2211yescharacteristic
92C3×#441C2211yescharacteristic
93C3×#435C2211yescharacteristic
94C3×#419C2211yescharacteristic
95C3×#416C2211yescharacteristic
96#5238C2211yescharacteristic
97#5232C2211yescharacteristic
98#5227C2211yescharacteristic
99C2×#835C2211yescharacteristic
100#5188C2211yescharacteristic
101#5187C2211yescharacteristic
102#5186C2211yescharacteristic
103#5186C2211yescharacteristic
104#5182C2211yescharacteristic
105Dic3×Q16C2211yescharacteristic
106#5174C2211yescharacteristic
107#5173C2211yescharacteristic
108#5163C2211yescharacteristic
109#5134C2211yescharacteristic
110#5133C2211yescharacteristic
111#5128C2211yescharacteristic
112#5115C2211yescharacteristic
113C8×#67C2211yescharacteristic
114C2×#816C2211yescharacteristic
115#5091C2211yescharacteristic
116#5089C2211yescharacteristic
117#5057C2211yescharacteristic
118#5055C2211yescharacteristic
119#5051C2211yescharacteristic
120#5050C2211yescharacteristic
121#5049C2211yescharacteristic
122#5049C2211yescharacteristic
123#5047C2211yescharacteristic
124#5044C2211yescharacteristic
125#5038C2211yescharacteristic
126#5033C2211yescharacteristic
127#5030C2211yescharacteristic
128#5028C2211yescharacteristic
129#5026C2211yescharacteristic
130#5021C2211yescharacteristic
131#5011C2211yescharacteristic
132#5004C2211yescharacteristic
133#5003C2211yescharacteristic
134#5002C2211yescharacteristic
135#4996C2211yescharacteristic
136#4886C2211yescharacteristic
137#4884C2211yescharacteristic
138#4883C2211yescharacteristic
139#4882C2211yescharacteristic
140D3×#107C2211yescharacteristic
141D3×#107C2211yescharacteristic
142#4875C2211yescharacteristic
143#4875C2211yescharacteristic
144#4868C2211yescharacteristic
145#4866C2211yescharacteristic
146#4861C2211yescharacteristic
147#4852C2211yescharacteristic
148#4850C2211yescharacteristic
149#4844C2211yescharacteristic
150#4836C2211yescharacteristic
151D3×C4⋊C8C2211yescharacteristic
152#4818C2211yescharacteristic
153#4814C2211yescharacteristic
154#4813C2211yescharacteristic
155#4812C2211yescharacteristic
156#4812C2211yescharacteristic
157#4811C2211yescharacteristic
158#4810C2211yescharacteristic
159#4806C2211yescharacteristic
160#4806C2211yescharacteristic
161#4804C2211yescharacteristic
162#4804C2211yescharacteristic
163#4803C2211yescharacteristic
164#4803C2211yescharacteristic
165#4803C2211yescharacteristic
166#4803C2211yescharacteristic
167#4802C2211yescharacteristic
168#4802C2211yescharacteristic
169#4802C2211yescharacteristic
170D3×#103C2211yescharacteristic
171D3×#103C2211yescharacteristic
172D3×#103C2211yescharacteristic
173D3×#103C2211yescharacteristic
174#4793C2211yescharacteristic
175#4793C2211yescharacteristic
176#4792C2211yescharacteristic
177#4792C2211yescharacteristic
178#4790C2211yescharacteristic
179#4788C2211yescharacteristic
180#4786C2211yescharacteristic
181#4784C2211yescharacteristic
182#4781C2211yescharacteristic
183#4775C2211yescharacteristic
184#4774C2211yescharacteristic
185#4772C2211yescharacteristic
186#4772C2211yescharacteristic
187#4771C2211yescharacteristic
188#4771C2211yescharacteristic
189#4771C2211yescharacteristic
190#4760C2211yescharacteristic
191#4760C2211yescharacteristic
192#4738C2211yescharacteristic
193#4736C2211yescharacteristic
194#4734C2211yescharacteristic
195#4729C2211yescharacteristic
196#4727C2211yescharacteristic
197#4727C2211yescharacteristic
198#67⋊C8C2211yescharacteristic
199#4722C2211yescharacteristic
200#4714C2211yescharacteristic
201#4710C2211yescharacteristic
202#4707C2211yescharacteristic
203#4706C2211yescharacteristic
204#3511—31no—
205#3497—31no—
206#3333—31no—
207#3333—31no—
208#3329—31no—
209#3329—31no—
210#3313—31no—
211#3313—31no—
212#3313—31no—
213#3313D311yescharacteristic, complemented
214#3308—31no—
215#3308—31no—
216#3308—31no—
217#3308—31no—
218#3305—31no—
219#3305—31no—
220#3299—31no—
221#3299—31no—
222#3141—31no—
223#3098—31no—
224#3098—31no—
225C2×#477—31no—
226#3061—31no—
227#3061—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×#239—21no—
243C2×#239C2311yescharacteristic
244C2×#239C2311yescharacteristic
245C2×#239C2311yescharacteristic
246C2×D3×Q8—21no—
247C2×D3×Q8—21no—
248C2×D3×Q8C2311yescharacteristic
249C2×D3×Q8C2311yescharacteristic
250C2×D3×Q8C2311yescharacteristic
251C2×#237—21no—
252C2×#237—21no—
253C2×#237—21no—
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×Q16C2311yescharacteristic
265C2×C3×Q16C2311yescharacteristic
266C2×C3×SD16C2311yescharacteristic
267C2×C3×M16C2311yescharacteristic
268C22×C3×C8C2311yescharacteristic
269C3×C4⋊Q8C2311yescharacteristic
270C3×#126—21no—
271C3×#126—21no—
272C3×#124—21no—
273C3×#124—21no—
274C3×#124C2311yescharacteristic
275C3×C22⋊Q8—21no—
276C3×C22⋊Q8C2311yescharacteristic
277C3×C22⋊Q8C2311yescharacteristic
278C3×C22⋊Q8C2311yescharacteristic
279C3×#121—21no—
280C3×#121C2311yescharacteristic
281C3×C4×Q8—21no—
282C3×C4×Q8C2311yescharacteristic
283C3×C4×Q8C2311yescharacteristic
284C3×C4×D4—21no—
285C3×C4×D4C2311yescharacteristic
286C3×#117C2311yescharacteristic
287C3×#117C2311yescharacteristic
288#946—21no—
289#946—21no—
290#946C2311yescharacteristic
291#946C2311yescharacteristic
292#946C2311yescharacteristic
293Q8×Dic3C2311yescharacteristic
294Q8×Dic3C2311yescharacteristic
295#944—21no—
296#944—21no—
297#944C2311yescharacteristic
298C2×#216C2311yescharacteristic
299C2×#216C2311yescharacteristic
300C2×#215C2311yescharacteristic
301C2×#215C2311yescharacteristic
302C2×#215C2311yescharacteristic
303#940—21no—
304#940—21no—
305#940D411yescharacteristic
306#940C2311yescharacteristic
307#939—21no—
308#939—21no—
309#939—21no—
310#938—21no—
311#938—21no—
312#938D411yescharacteristic
313#938C2311yescharacteristic
314C2×#213C2311yescharacteristic
315#930—21no—
316#930C2311yescharacteristic
317#930C2311yescharacteristic
318#930C2311yescharacteristic
319C4×#67—21no—
320C4×#67—21no—
321C4×#67C2311yescharacteristic
322C4×#67C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325#924—21no—
326#924C2311yescharacteristic
327C2×#208C2311yescharacteristic
328C22×C3⋊C8C2311yescharacteristic
329#919—42no—
330#918—24no—
331#916—42no—
332#907—42no—
333C2×D24C2311yescharacteristic
334C2×#204C2311yescharacteristic
335C2×#204C2311yescharacteristic
336#901—42no—
337C2×ΓL(1,𝔽25)C2311yescharacteristic
338C2×ΓL(1,𝔽25)C2311yescharacteristic
339C2×ΓL(1,𝔽25)C2311yescharacteristic
340C2×ΓL(1,𝔽25)C2311yescharacteristic
341C2×D3×C8C2311yescharacteristic
342C2×D3×C8C2311yescharacteristic
343C2×D3×C8C2311yescharacteristic
344C2×D3×C8C2311yescharacteristic
345#898—21no—
346#898—21no—
347#897—21no—
348#897—21no—
349#897—21no—
350#897—21no—
351#897C2311yescharacteristic
352#896—21no—
353#896—21no—
354#896—21no—
355#896—21no—
356#896—21no—
357#895—21no—
358#895—21no—
359#895—21no—
360#895—21no—
361#895D411yescharacteristic
362#895C2311yescharacteristic
363#895C2311yescharacteristic
364#895C2311yescharacteristic
365#894—21no—
366#894—21no—
367#893—21no—
368#893C2311yescharacteristic
369#892—21no—
370#892C2311yescharacteristic
371#892C2311yescharacteristic
372#892C2311yescharacteristic
373D3×C4⋊C4—21no—
374D3×C4⋊C4—21no—
375D3×C4⋊C4C2311yescharacteristic
376D3×C4⋊C4C2311yescharacteristic
377D3×C4⋊C4C2311yescharacteristic
378D3×C4⋊C4C2311yescharacteristic
379D3×C4⋊C4C2311yescharacteristic
380#889—21no—
381#889—21no—
382#888—21no—
383#888—21no—
384#888D411yescharacteristic
385#888C2311yescharacteristic
386#888C2311yescharacteristic
387#887—21no—
388#887C2311yescharacteristic
389#886—21no—
390#886—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#884—21no—
407#884—21no—
408#884—21no—
409#884—21no—
410#884D411yescharacteristic
411#884D411yescharacteristic
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#67⋊C4—21no—
422#67⋊C4—21no—
423#67⋊C4—21no—
424#878—21no—
425#878—21no—
426#878—21no—
427#878—21no—
428#878—21no—
429#875—21no—
430#875—21no—
431#875—21no—
432#875—21no—
433#875C2311yescharacteristic
434C4×D12—21no—
435C4×D12—21no—
436C4×D12—21no—
437C4×D12—21no—
438C4×D12C2311yescharacteristic
439C4×D12C2311yescharacteristic
440#872—21no—
441#872—21no—
442C42×D3—21no—
443C42×D3—21no—
444C42×D3C2311yescharacteristic
445#869C2311yescharacteristic
446C4×Dic6—21no—
447C4×Dic6—21no—
448C4×Dic6—21no—
449C4×Dic6—21no—
450C4×Dic6C2311yescharacteristic
451C3×#107C2311yescharacteristic
452C3×#107C2311yescharacteristic
453C3×#106C2311yescharacteristic
454C3×C4⋊C8C2311yescharacteristic
455C3×#103C2311yescharacteristic
456C3×#103C2311yescharacteristic
457C3×#103C2311yescharacteristic
458C3×#103C2311yescharacteristic
459C3×#103C2311yescharacteristic
460C3×#103C2311yescharacteristic
461C3×#103C2311yescharacteristic
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#835C2311yescharacteristic
475#832C2311yescharacteristic
476#832C2311yescharacteristic
477#832C2311yescharacteristic
478#830C2311yescharacteristic
479#830C2311yescharacteristic
480#821C2311yescharacteristic
481#821C2311yescharacteristic
482#821C2311yescharacteristic
483#821C2311yescharacteristic
484(C2×D3)⋊C8C2311yescharacteristic
485(C2×D3)⋊C8C2311yescharacteristic
486(C2×D3)⋊C8C2311yescharacteristic
487(C2×D3)⋊C8C2311yescharacteristic
488#818C2311yescharacteristic
489#818C2311yescharacteristic
490#818C2311yescharacteristic
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#809C2311yescharacteristic
508#809C2311yescharacteristic
509#809C2311yescharacteristic
510#809C2311yescharacteristic
511#808C2311yescharacteristic
512#807C2311yescharacteristic
513#807C2311yescharacteristic
514#807C2311yescharacteristic
515#807C2311yescharacteristic
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#556C2×D311yescharacteristic
528#555—31no—
529#555—31no—
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#484—31no—
582#484—31no—
583#484—31no—
584#484—31no—
585#482—31no—
586#482—31no—
587#482—31no—
588#482C2×D311yescharacteristic
589#480—31no—
590#480—31no—
591#480—31no—
592#480—31no—
593#477—31no—
594#477—31no—
595#477—31no—
596#477—31no—
597#477—31no—
598#477—31no—
599#477—31no—
600#477C2×D311yescharacteristic
601#468—31no—
602#468—31no—
603#468—31no—
604#468—31no—
605#468—31no—
606#468—31no—
607#468—31no—
608#468C2×D311yescharacteristic
609#467—31no—
610#467—31no—
611#467—31no—
612#467C2×D311yescharacteristic
613#466—31no—
614#466—31no—
615#466—31no—
616#466—31no—
617#464—31no—
618#464C2×D311yescharacteristic
619#463—31no—
620#463—31no—
621#462—31no—
622#461—31no—
623#460—31no—
624#459—31no—
625#452—31no—
626#452—31no—
627#452—31no—
628#452C2×D311yescharacteristic
629#451—31no—
630#451—31no—
631#451—31no—
632#451C2×D311yescharacteristic
633#449—31no—
634#449—31no—
635#449—31no—
636#449—31no—
637#448—31no—
638#448—31no—
639#448—31no—
640#448—31no—
641#441—31no—
642#441C2×D311yescharacteristic
643#440—31no—
644#440—31no—
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×#107—31no—
659C2×#107—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×Q8C2411yescharacteristic
699C2×C3×D4—21no—
700C2×C3×D4—21no—
701C2×C3×D4C2×D411yescharacteristic
702C2×C3×D4C2411yescharacteristic
703C22×C3×C4—21no—
704C22×C3×C4—21no—
705C22×C3×C4C2411yescharacteristic
706C22×C3×C4C2411yescharacteristic
707C2×#67—21no—
708C2×#67—21no—
709C2×#67—21no—
710C2×#67—21no—
711C2×#67—21no—
712C2×#67—21no—
713C2×#67—21no—
714C2×#67—21no—
715C2×#67—21no—
716C2×#67C2×D411yescharacteristic
717C2×#67C2×D411yescharacteristic
718C2×#67C2×D411yescharacteristic
719C2×#67C2×D411yescharacteristic
720C2×#67C2×D411yescharacteristic
721C2×#67C2×D411yescharacteristic
722C22×Dic3—21no—
723C22×Dic3—21no—
724C22×Dic3—21no—
725C22×Dic3—21no—
726C22×Dic3—21no—
727#239—22no—
728#239—22no—
729#239—22no—
730#239—22no—
731#239—22no—
732#239—41no—
733#239—44no—
734#239—82no—
735D3×Q8—22no—
736D3×Q8—22no—
737D3×Q8—22no—
738D3×Q8—44no—
739D3×Q8—41no—
740D3×Q8—41no—
741D3×Q8—82no—
742D3×Q8#4114yescomplemented
743#237—22no—
744#237—22no—
745#237—22no—
746#237—41no—
747#237—44no—
748#237—44no—
749#237—82no—
750#235—22no—
751#235—22no—
752#235—22no—
753#235—22no—
754#235—22no—
755#235—41no—
756#235—44no—
757#235—44no—
758#235—44no—
759C2×D12—21no—
760C2×D12—21no—
761C2×D12—21no—
762C2×D12—21no—
763C2×D12—21no—
764C2×D12—21no—
765C2×D12C2×D411yescharacteristic
766C2×D12C2×D411yescharacteristic
767C2×D12C2×D411yescharacteristic
768C2×D12C2411yescharacteristic
769C2×D12C2411yescharacteristic
770C2×C4×D3—21no—
771C2×C4×D3—21no—
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×D3—21no—
784C2×C4×D3C2×D411yescharacteristic
785C2×C4×D3C2×D411yescharacteristic
786C2×C4×D3C2411yescharacteristic
787C2×C4×D3C2411yescharacteristic
788C2×C4×D3C2411yescharacteristic
789C2×Dic6—21no—
790C2×Dic6—22no—
791C2×Dic6—21no—
792C2×Dic6—21no—
793C2×Dic6—21no—
794C2×Dic6—21no—
795C2×Dic6—21no—
796C2×Dic6—21no—
797C2×Dic6—41no—
798C2×Dic6—44no—
799C2×Dic6C2×D411yescharacteristic
800C2×Dic6C2×D411yescharacteristic
801C2×Dic6C2411yescharacteristic
802C2×Dic6C2411yescharacteristic
803C3×Q16—22no—
804C3×Q16—41no—
805C3×SD16—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⋊C4—21no—
816C3×C4⋊C4—21no—
817C3×C4⋊C4—21no—
818C3×C4⋊C4C2×D411yescharacteristic
819C3×C4⋊C4C2411yescharacteristic
820C3×C4⋊C4C2411yescharacteristic
821C3×C4⋊C4C2411yescharacteristic
822C3×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
830C3×C22⋊C4—21no—
831C3×C22⋊C4C2×D411yescharacteristic
832C3×C22⋊C4C2×D411yescharacteristic
833C3×C42—21no—
834C3×C42—21no—
835C3×C42—21no—
836C3×C42—21no—
837C3×C42C2411yescharacteristic
838#217—21no—
839#217—21no—
840#217C2×D411yescharacteristic
841#217C2×D411yescharacteristic
842#216—22no—
843#216—41no—
844#215—22no—
845#215—41no—
846#215—41no—
847#213—41no—
848(C2×D3)⋊C4—21no—
849(C2×D3)⋊C4—21no—
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)⋊C4—21no—
862(C2×D3)⋊C4—21no—
863(C2×D3)⋊C4—21no—
864(C2×D3)⋊C4—21no—
865(C2×D3)⋊C4C2×D411yescharacteristic
866(C2×D3)⋊C4C2×D411yescharacteristic
867(C2×D3)⋊C4C2×D411yescharacteristic
868(C2×D3)⋊C4C2×D411yescharacteristic
869C4⋊Dic3—21no—
870C4⋊Dic3—21no—
871C4⋊Dic3—21no—
872C4⋊Dic3—21no—
873C4⋊Dic3—21no—
874C4⋊Dic3—21no—
875C4⋊Dic3C2×D411yescharacteristic
876C4⋊Dic3C2411yescharacteristic
877C4⋊Dic3C2411yescharacteristic
878C4⋊Dic3C2411yescharacteristic
879C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
895Dic3⋊C4C2×D411yescharacteristic
896Dic3⋊C4C2×D411yescharacteristic
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
913D24—41no—
914#204—22no—
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×Q16C22×D311yescharacteristic
959C2×Q16C22×D311yescharacteristic
960C2×SD16—31no—
961C2×SD16—31no—
962C2×SD16—31no—
963C2×SD16—31no—
964C2×SD16—31no—
965C2×SD16C22×D311yescharacteristic
966C2×D8—31no—
967C2×D8—31no—
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—21no—
997#126—21no—
998#126—61no—
999#126—61no—
1000#125—61no—
1001#125—61no—
1002#124—21no—
1003#124—21no—
1004#124—31no—
1005#124—31no—
1006#124—31no—
1007#124—61no—
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—61no—
1027C22⋊Q8—61no—
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⋊Q8C22×D311yescharacteristic
1044C22⋊Q8C22×D311yescharacteristic
1045C22⋊Q8C22×D311yescharacteristic
1046#121—21no—
1047#121—31no—
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—31no—
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#121—61no—
1080#121—61no—
1081#121C22×D311yescharacteristic
1082C4×Q8—21no—
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×Q8C22×D311yescharacteristic
1093C4×Q8C22×D311yescharacteristic
1094C4×D4—21no—
1095C4×D4—31no—
1096C4×D4—31no—
1097C4×D4—31no—
1098C4×D4—31no—
1099C4×D4—31no—
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×D4—61no—
1119C4×D4C22×D311yescharacteristic
1120#117—31no—
1121#117—31no—
1122#117—31no—
1123#117—61no—
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#107—31no—
1142#107—31no—
1143#107—31no—
1144#107—31no—
1145#107—31no—
1146#107—31no—
1147#107—31no—
1148#107C22×D311yescharacteristic
1149#107C22×D311yescharacteristic
1150#106—31no—
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#103C22×D311yescharacteristic
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#102—31no—
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×C3C22×D411yescharacteristic
1210C23×C3C22×D411yescharacteristic
1211C22×D3—21no—
1212C22×D3—21no—
1213C22×D3C22×D411yescharacteristic
1214C22×D3C22×D411yescharacteristic
1215C22×D3C22×D411yescharacteristic
1216C3×Q8—21no—
1217C3×Q8—21no—
1218C3×Q8—21no—
1219C3×Q8—21no—
1220C3×Q8—21no—
1221C3×Q8—42no—
1222C3×Q8—42no—
1223C3×Q8C2×#4112yes—
1224C3×D4—21no—
1225C3×D4—21no—
1226C3×D4—41no—
1227C3×D4—42no—
1228C3×D4—81no—
1229C2×C3×C4—21no—
1230C2×C3×C4—21no—
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—42no—
1241C2×C3×C4—42no—
1242C2×C3×C4C22×D411yescharacteristic
1243C2×C3×C4C22×D411yescharacteristic
1244C2×C3×C4C22×D411yescharacteristic
1245C2×C3×C4C22×D411yescharacteristic
1246C2×C3×C4C2511yescharacteristic
1247#67—22no—
1248#67—22no—
1249#67—22no—
1250#67—22no—
1251#67—22no—
1252#67—22no—
1253#67—42no—
1254#67—42no—
1255#67—42no—
1256#67—42no—
1257#67—81no—
1258#67—81no—
1259#67—81no—
1260#67—81no—
1261#67—81no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—42no—
1269C2×Dic3—42no—
1270C2×Dic3—42no—
1271C2×Dic3—81no—
1272C2×Dic3—81no—
1273C2×Dic3C22×D411yescharacteristic
1274C2×Dic3C22×D411yescharacteristic
1275C2×Dic3C22×D411yescharacteristic
1276C2×Dic3C22×D411yescharacteristic
1277C2×Dic3C22×D411yescharacteristic
1278D12—22no—
1279D12—22no—
1280D12—21no—
1281D12—21no—
1282D12—21no—
1283D12—21no—
1284D12—41no—
1285D12—42no—
1286D12—42no—
1287D12—42no—
1288D12—81no—
1289D12—81no—
1290D12—81no—
1291C4×D3—24no—
1292C4×D3—21no—
1293C4×D3—21no—
1294C4×D3—21no—
1295C4×D3—21no—
1296C4×D3—22no—
1297C4×D3—41no—
1298C4×D3—42no—
1299C4×D3—42no—
1300C4×D3—42no—
1301C4×D3—42no—
1302C4×D3—42no—
1303C4×D3—42no—
1304C4×D3—42no—
1305C4×D3—42no—
1306C4×D3—81no—
1307C4×D3—81no—
1308C4×D3—81no—
1309C4×D3—81no—
1310C4×D3—81no—
1311C4×D3C2×#4112yes—
1312C4×D3H(5,𝔽2)12yes—
1313Dic6—21no—
1314Dic6—24no—
1315Dic6—22no—
1316Dic6—22no—
1317Dic6—21no—
1318Dic6—21no—
1319Dic6—42no—
1320Dic6—42no—
1321Dic6—42no—
1322Dic6—42no—
1323Dic6—81no—
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—41no—
1369C2×Q8—61no—
1370C2×Q8—61no—
1371C2×Q8—61no—
1372C2×Q8—61no—
1373C2×Q8—61no—
1374C2×Q8—62no—
1375C2×Q8—62no—
1376C2×Q8—61no—
1377C2×Q8—61no—
1378C2×Q8—62no—
1379C2×Q8—62no—
1380C2×Q8—121no—
1381C2×Q8—124no—
1382C2×Q8—121no—
1383C2×Q8—121no—
1384C2×Q8—124no—
1385C2×Q8—242no—
1386C2×Q8C23×D311yescharacteristic
1387C2×Q8C23×D311yescharacteristic
1388C2×Q8C23×D311yescharacteristic
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—31no—
1392C2×D4—31no—
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—61no—
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×D4—61no—
1417C2×D4D3×D411yescharacteristic
1418C2×D4C23×D311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—31no—
1422C22×C4—31no—
1423C22×C4—31no—
1424C22×C4—31no—
1425C22×C4—31no—
1426C22×C4—61no—
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—22no—
1448Q16—41no—
1449Q16—62no—
1450Q16—121no—
1451SD16—41no—
1452SD16—62no—
1453SD16—62no—
1454SD16—121no—
1455SD16—121no—
1456SD16—121no—
1457D8—121no—
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—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—31no—
1486C4⋊C4—31no—
1487C4⋊C4—31no—
1488C4⋊C4—31no—
1489C4⋊C4—31no—
1490C4⋊C4—31no—
1491C4⋊C4—31no—
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—31no—
1527C22⋊C4—31no—
1528C22⋊C4—31no—
1529C22⋊C4—31no—
1530C22⋊C4—31no—
1531C22⋊C4—31no—
1532C22⋊C4—61no—
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—21no—
1557C42—31no—
1558C42—31no—
1559C42—31no—
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×C3C23×D411yescharacteristic
1578C2×D3—21no—
1579C2×D3—21no—
1580C2×D3—21no—
1581C2×D3—21no—
1582C2×D3—21no—
1583C2×D3—21no—
1584C2×D3—21no—
1585C2×D3—21no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
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×C4—41no—
1604C3×C4C22×#4111yescharacteristic
1605C3×C4C2×H(5,𝔽2)11yescharacteristic
1606Dic3—21no—
1607Dic3—22no—
1608Dic3—21no—
1609Dic3—21no—
1610Dic3—41no—
1611Dic3—41no—
1612Dic3—41no—
1613Dic3—41no—
1614Dic3—41no—
1615Dic3#54612yes—
1616Dic3#57812yes—
1617C23—21no—
1618C23—31no—
1619C23—31no—
1620C23—31no—
1621C23—61no—
1622C23—61no—
1623C23C2×D3×D411yescharacteristic
1624C23C2×D3×D411yescharacteristic
1625Q8—21no—
1626Q8—21no—
1627Q8—21no—
1628Q8—21no—
1629Q8—21no—
1630Q8—32no—
1631Q8—42no—
1632Q8—42no—
1633Q8—64no—
1634Q8—62no—
1635Q8—62no—
1636Q8—61no—
1637Q8—61no—
1638Q8—61no—
1639Q8—122no—
1640Q8—122no—
1641Q8—122no—
1642Q8—122no—
1643Q8—241no—
1644Q8—241no—
1645Q8D3×#4112yes—
1646D4—21no—
1647D4—21no—
1648D4—41no—
1649D4—42no—
1650D4—62no—
1651D4—62no—
1652D4—62no—
1653D4—62no—
1654D4—62no—
1655D4—62no—
1656D4—62no—
1657D4—62no—
1658D4—61no—
1659D4—61no—
1660D4—61no—
1661D4—61no—
1662D4—81no—
1663D4—121no—
1664D4—122no—
1665D4—122no—
1666D4—122no—
1667D4—122no—
1668D4—122no—
1669D4—122no—
1670D4—122no—
1671D4—241no—
1672D4—241no—
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—21no—
1690C2×C4—31no—
1691C2×C4—31no—
1692C2×C4—32no—
1693C2×C4—32no—
1694C2×C4—31no—
1695C2×C4—31no—
1696C2×C4—31no—
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—121no—
1712C2×C4—122no—
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×C3C2×#54611yescharacteristic
1747C2×C3C2×#57811yescharacteristic
1748C2×C3#358511yescharacteristic
1749D3—22no—
1750D3—41no—
1751D3—41no—
1752D3—81no—
1753D3—81no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—32no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—61no—
1765C22—61no—
1766C22—61no—
1767C22—61no—
1768C22—61no—
1769C22—61no—
1770C22—61no—
1771C22—61no—
1772C22—121no—
1773C22—121no—
1774C22—121no—
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—41no—
1792C4—61no—
1793C4—61no—
1794C4—62no—
1795C4—61no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C4C2×D3×#4111yescharacteristic
1802C4D3×H(5,𝔽2)11yescharacteristic
1803C3#6120311yescharacteristic, complemented, Sylow
1804C2—41no—
1805C2—41no—
1806C2—62no—
1807C2—81no—
1808C2—121no—
1809C2—121no—
1810C2—241no—
1811C2—241no—
1812C2D3×#54611yescharacteristic
1813C2#8720011yescharacteristic
1814C2D3×#57811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3313C2
socleC22×C3C23×D4
hypercenter#3313D3
hypocenterC3#61203
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. #86985C2semidirect
2. #86737C2semidirect
3. C3×#3313C2semidirect
4. #83674C2semidirect
5. #83536C2semidirect
6. #81697C2semidirect
7. #81683C2semidirect
8. #81555C2semidirect
9. #81520C2semidirect
10. #81407C2semidirect
11. #81376C2semidirect
12. #81121C2semidirect
13. D3×#477C2semidirect
14. #80847C2semidirect
15. #80808C2semidirect
16. #80781C2semidirect
17. #80761C2semidirect
18. #80618C2semidirect
19. #80597C2semidirect
20. #80261C2semidirect
21. #80232C2semidirect
22. #80193C2semidirect
23. #80186C2semidirect
24. #79842C2semidirect
25. #79829C2semidirect
26. #79509C2semidirect
27. #79484C2semidirect
28. #78973C2semidirect
29. #78957C2semidirect
30. #78852C2semidirect
31. #78832C2semidirect
213. #3313D3semidirect
742. D3×Q8#41semidirect
1803. C3#61203semidirect

Maximal subgroups

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

subgroupindex
#869852
#867372
C3×#33132
#836742
#835362
#816972
#816832
#815552
#815202
#814072
#813762
#811212
D3×#4772
#808472
#808082
#807812
#807612
#806182
#805972
#802612
#802322
#801932
#801862
#798422
#798292
#795092
#794842
#789732
#789572
#788522
#788322
#612033