Finite Group Databasebeta

← #11675380

Subgroups — #11675380

Order 768.

1912 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87051C211yesmaximal, characteristic, complemented
2#86949C211yesmaximal, characteristic, complemented
3C3×#3370C211yesmaximal, characteristic, complemented
4#83714C211yesmaximal, characteristic, complemented
5#83638C211yesmaximal, characteristic, complemented
6#81715C211yesmaximal, characteristic, complemented
7#81708C211yesmaximal, characteristic, complemented
8#81680C211yesmaximal, characteristic, complemented
9#81674C211yesmaximal, characteristic, complemented
10#81638C211yesmaximal, characteristic, complemented
11#81633C211yesmaximal, characteristic, complemented
12#81229C211yesmaximal, characteristic, complemented
13#81217C211yesmaximal, characteristic, complemented
14#81168C211yesmaximal, characteristic, complemented
15#81152C211yesmaximal, characteristic, complemented
16#80992C211yesmaximal, characteristic, complemented
17#80967C211yesmaximal, characteristic, complemented
18#80536C211yesmaximal, characteristic, complemented
19#80536C211yesmaximal, characteristic, complemented
20#80521C211yesmaximal, characteristic, complemented
21#80517C211yesmaximal, characteristic, complemented
22D3×#459C211yesmaximal, characteristic, complemented
23#80321C211yesmaximal, characteristic, complemented
24#79969C211yesmaximal, characteristic, complemented
25#79961C211yesmaximal, characteristic, complemented
26#79867C211yesmaximal, characteristic, complemented
27#79851C211yesmaximal, characteristic, complemented
28#79773C211yesmaximal, characteristic, complemented
29#79753C211yesmaximal, characteristic, complemented
30#79588C211yesmaximal, characteristic, complemented
31#79567C211yesmaximal, characteristic, complemented
32#61339—31nomaximal, Sylow
33C3×#559C2211yescharacteristic, complemented
34C3×#554C2211yescharacteristic, complemented
35C2×#914C2211yescharacteristic
36C2×D3×D8C2211yescharacteristic
37C2×D3×D8C2211yescharacteristic
38#5729C2211yescharacteristic
39#5727C2211yescharacteristic, complemented
40#5718C2211yescharacteristic, complemented
41D3×#127C2211yescharacteristic
42#5690C2211yescharacteristic, complemented
43#5690C2211yescharacteristic, complemented
44#5689C2211yescharacteristic
45#5688C2211yescharacteristic
46#5681C2211yescharacteristic, complemented
47#5681C2211yescharacteristic, complemented
48#5676—21no—
49#5674C2211yescharacteristic
50#5674C2211yescharacteristic
51#5668—21no—
52#5663—21no—
53#5663—21no—
54#5654—21no—
55#5654—21no—
56#5636—21no—
57#5636—21no—
58#5634—21no—
59#5634—21no—
60#5632—21no—
61D3×C22⋊Q8—21no—
62#5585C2211yescharacteristic, complemented
63#5579C2211yescharacteristic, complemented
64#5578C2211yescharacteristic
65#5577C2211yescharacteristic, complemented
66C4×#239C2211yescharacteristic
67#5554—21no—
68#5553C2211yescharacteristic, complemented
69#5553C2211yescharacteristic, complemented
70#5548—21no—
71#5545C2211yescharacteristic
72#5545C2211yescharacteristic
73#5545C2211yescharacteristic
74#5545C2211yescharacteristic
75C4×D3×D4C2211yescharacteristic
76#5539C2211yescharacteristic, complemented
77#5539C2211yescharacteristic, complemented
78D4×Dic6C2211yescharacteristic, complemented
79#5511—21no—
80C2×#896—21no—
81C3×#490C2211yescharacteristic, complemented
82C3×#489C2211yescharacteristic, complemented
83C3×#488C2211yescharacteristic, complemented
84C3×#479C2211yescharacteristic, complemented
85C3×#478C2211yescharacteristic, complemented
86C3×#474C2211yescharacteristic, complemented
87C3×#463C2211yescharacteristic, complemented
88C3×#463C2211yescharacteristic, complemented
89C3×#459C2211yescharacteristic
90C3×#446C2211yescharacteristic, complemented
91C3×#442C2211yescharacteristic, complemented
92C3×#440C2211yescharacteristic, complemented
93C3×C4×D8C2211yescharacteristic, complemented
94#5165C2211yescharacteristic, complemented
95#5165C2211yescharacteristic, complemented
96Dic3×SD16C2211yescharacteristic, complemented
97#5152C2211yescharacteristic, complemented
98#5150C2211yescharacteristic
99#5150C2211yescharacteristic
100#5150C2211yescharacteristic, complemented
101#5150C2211yescharacteristic, complemented
102Dic3×D8C2211yescharacteristic, complemented
103#5088C2211yescharacteristic, complemented
104#5084C2211yescharacteristic, complemented
105#5072C2211yescharacteristic
106#5071C2211yescharacteristic, complemented
107#5067C2211yescharacteristic, complemented
108#5067C2211yescharacteristic, complemented
109#5066C2211yescharacteristic, complemented
110#5066C2211yescharacteristic, complemented
111#5057C2211yescharacteristic, complemented
112#5057C2211yescharacteristic, complemented
113#5056C2211yescharacteristic, complemented
114#5055C2211yescharacteristic, complemented
115#5026C2211yescharacteristic, complemented
116#5024C2211yescharacteristic, complemented
117#5022C2211yescharacteristic, complemented
118#5015C2211yescharacteristic
119#5015C2211yescharacteristic, complemented
120#5015C2211yescharacteristic, complemented
121#5014C2211yescharacteristic, complemented
122#5014C2211yescharacteristic, complemented
123#5014C2211yescharacteristic, complemented
124C4×#213C2211yescharacteristic, complemented
125C4×#213C2211yescharacteristic, complemented
126#5009C2211yescharacteristic, complemented
127#5007C2211yescharacteristic, complemented
128#4891C2211yescharacteristic, complemented
129#4890C2211yescharacteristic, complemented
130#4890C2211yescharacteristic, complemented
131#4890C2211yescharacteristic, complemented
132#4881C2211yescharacteristic
133#4880C2211yescharacteristic
134#4872C2211yescharacteristic, complemented
135#4872C2211yescharacteristic, complemented
136#4871C2211yescharacteristic, complemented
137#4870C2211yescharacteristic, complemented
138#4869C2211yescharacteristic, complemented
139#4860C2211yescharacteristic
140#4847C2211yescharacteristic, complemented
141#4847C2211yescharacteristic, complemented
142#4843C2211yescharacteristic
143#4843C2211yescharacteristic, complemented
144#4843C2211yescharacteristic, complemented
145#4842C2211yescharacteristic, complemented
146#4839C2211yescharacteristic
147#4839C2211yescharacteristic
148D3×C4⋊C8C2211yescharacteristic
149#4830C2211yescharacteristic, complemented
150#4828C2211yescharacteristic, complemented
151#4828C2211yescharacteristic, complemented
152#4819C2211yescharacteristic, complemented
153#4819C2211yescharacteristic, complemented
154#4804C2211yescharacteristic
155#4804C2211yescharacteristic
156#4803C2211yescharacteristic
157#4800C2211yescharacteristic, complemented
158#4800C2211yescharacteristic, complemented
159#4794C2211yescharacteristic, complemented
160#4794C2211yescharacteristic, complemented
161#4793C2211yescharacteristic, complemented
162#4791C2211yescharacteristic, complemented
163#4788C2211yescharacteristic, complemented
164#4786C2211yescharacteristic
165#4786C2211yescharacteristic
166#4786C2211yescharacteristic, complemented
167#4786C2211yescharacteristic, complemented
168#4785C2211yescharacteristic, complemented
169#4785C2211yescharacteristic, complemented
170#4770C2211yescharacteristic
171#4770C2211yescharacteristic
172#4770C2211yescharacteristic
173#4770C2211yescharacteristic
174#4770C2211yescharacteristic
175D3×#102C2211yescharacteristic
176D3×#102C2211yescharacteristic
177#4766C2211yescharacteristic, complemented
178#4764C2211yescharacteristic, complemented
179#4764C2211yescharacteristic, complemented
180#4763C2211yescharacteristic, complemented
181#4761C2211yescharacteristic, complemented
182#4761C2211yescharacteristic, complemented
183#4760C2211yescharacteristic, complemented
184#4760C2211yescharacteristic, complemented
185#4760C2211yescharacteristic, complemented
186#4760C2211yescharacteristic, complemented
187#4760C2211yescharacteristic, complemented
188#4760C2211yescharacteristic, complemented
189#4756C2211yescharacteristic, complemented
190#4756C2211yescharacteristic, complemented
191#4756C2211yescharacteristic, complemented
192#4713C2211yescharacteristic, complemented
193#4713C2211yescharacteristic, complemented
194#4711C2211yescharacteristic, complemented
195#4711C2211yescharacteristic, complemented
196#4708C2211yescharacteristic
197#4707C2211yescharacteristic
198#4701C2211yescharacteristic, complemented
199#4701C2211yescharacteristic, complemented
200#4694C2211yescharacteristic, complemented
201C4×D24C2211yescharacteristic, complemented
202#4689C2211yescharacteristic
203C8×Dic6C2211yescharacteristic, complemented
204#3508—31no—
205#3501—31no—
206#3373—31no—
207#3373—31no—
208#3370—31no—
209#3370—31no—
210#3370—31no—
211#3370D311yescharacteristic, complemented
212#3366—31no—
213#3366—31no—
214#3366—31no—
215#3366—31no—
216#3366—31no—
217#3366—31no—
218#3361—31no—
219#3361—31no—
220#3358—31no—
221#3358—31no—
222#3138—31no—
223#3136—31no—
224#3136—31no—
225#3081—31no—
226#3081—31no—
227#3076—31no—
228#3041—31no—
229#3041—31no—
230C2×#459—31no—
231#2962—31no—
232#2948—31no—
233#2948—31no—
234C4×AGL(1,ℤ/8)—31no—
235C2×#239—21no—
236C2×#239C2311yescharacteristic
237C2×D3×Q8—21no—
238C2×#237—21no—
239C2×D3×D4—21no—
240C2×D3×D4—21no—
241C2×D3×D4C2311yescharacteristic
242C2×D3×D4C2311yescharacteristic
243C2×D3×D4C2311yescharacteristic
244C2×#235—21no—
245C2×#235—21no—
246C22×C4×D3—21no—
247C22×Dic6—21no—
248C2×C3×SD16C2311yescharacteristic
249C2×C3×D8C2311yescharacteristic
250C2×C3×D8C2311yescharacteristic
251C3×C4⋊Q8C2311yescharacteristic
252C3×#127C2311yescharacteristic
253C3×#125C2311yescharacteristic
254C3×#125C2311yescharacteristic
255C3×#124—21no—
256C3×#124C2311yescharacteristic
257C3×#124C2311yescharacteristic
258C3×#123—21no—
259C3×#123—21no—
260C3×C22⋊Q8—21no—
261C3×C22⋊Q8—21no—
262C3×C22⋊Q8—21no—
263C3×C4×Q8C2311yescharacteristic
264C3×C4×Q8C2311yescharacteristic
265C3×C4×D4—21no—
266C3×C4×D4C2311yescharacteristic
267C3×C4×D4C2311yescharacteristic
268C3×C4×D4C2311yescharacteristic
269C3×C4×D4C2311yescharacteristic
270C3×C4×D4C2311yescharacteristic
271C2×C3×C4⋊C4—21no—
272#947C2311yescharacteristic
273#947C2311yescharacteristic
274#946—21no—
275#946—21no—
276#946—21no—
277#946D411yescharacteristic
278Q8×Dic3C2311yescharacteristic
279#944—21no—
280#944D411yescharacteristic
281C2×#215C2311yescharacteristic
282#940—21no—
283#940—21no—
284#940C2311yescharacteristic
285#940C2311yescharacteristic
286#940C2311yescharacteristic
287#940C2311yescharacteristic
288#939—21no—
289#939—21no—
290#938—21no—
291D4×Dic3C2311yescharacteristic
292D4×Dic3C2311yescharacteristic
293D4×Dic3C2311yescharacteristic
294D4×Dic3C2311yescharacteristic
295D4×Dic3C2311yescharacteristic
296C2×#213C2311yescharacteristic
297C2×#213C2311yescharacteristic
298C2×#213C2311yescharacteristic
299C2×#213C2311yescharacteristic
300C2×#213C2311yescharacteristic
301#930—21no—
302#930—21no—
303C4×#67—21no—
304C4×#67—21no—
305C4×#67—21no—
306C4×#67—21no—
307C4×#67—21no—
308C2×(C2×D3)⋊C4—21no—
309C2×(C2×D3)⋊C4—21no—
310C2×(C2×D3)⋊C4—21no—
311C2×(C2×D3)⋊C4—21no—
312#924—21no—
313#924—21no—
314#924—21no—
315C2×Dic3⋊C4—21no—
316C2×Dic3⋊C4—21no—
317#914—24no—
318D3×D8—24no—
319D3×D8—24no—
320C2×D24C2311yescharacteristic
321C2×D24C2311yescharacteristic
322C2×D24C2311yescharacteristic
323C2×ΓL(1,𝔽25)C2311yescharacteristic
324C2×ΓL(1,𝔽25)C2311yescharacteristic
325C2×D3×C8C2311yescharacteristic
326C2×D3×C8C2311yescharacteristic
327#897—21no—
328#897—21no—
329#897—21no—
330#897D411yescharacteristic
331#896—21no—
332#896—21no—
333#896—21no—
334#896—21no—
335#896—21no—
336#896—21no—
337#896—21no—
338#896—21no—
339#896—21no—
340#896—21no—
341#896—21no—
342#896—21no—
343#896D411yescharacteristic
344#896D411yescharacteristic
345#895—21no—
346#895—21no—
347#895—21no—
348#894—21no—
349#894—21no—
350#893—21no—
351#893C2311yescharacteristic
352#893C2311yescharacteristic
353#893C2311yescharacteristic
354#893C2311yescharacteristic
355#893C2311yescharacteristic
356#893C2311yescharacteristic
357#892—21no—
358#892C2311yescharacteristic
359#892C2311yescharacteristic
360#892C2311yescharacteristic
361D3×C4⋊C4—21no—
362D3×C4⋊C4—21no—
363D3×C4⋊C4—21no—
364D3×C4⋊C4C2311yescharacteristic
365#890C2311yescharacteristic
366#890C2311yescharacteristic
367#889—21no—
368#889—21no—
369#889D411yescharacteristic
370#889D411yescharacteristic
371#888—21no—
372#888D411yescharacteristic
373#888C2311yescharacteristic
374#888C2311yescharacteristic
375#888C2311yescharacteristic
376#888C2311yescharacteristic
377#887—21no—
378#887—21no—
379#886—21no—
380#886—21no—
381#885—21no—
382#885—21no—
383#884—21no—
384#884—21no—
385#884—21no—
386#884—21no—
387#884—21no—
388#884—21no—
389#884—21no—
390#884—21no—
391#883—21no—
392#883—21no—
393#882—21no—
394#882—21no—
395#882—21no—
396#882—21no—
397#67⋊C4—21no—
398#67⋊C4—21no—
399#67⋊C4—21no—
400#67⋊C4—21no—
401#67⋊C4—21no—
402#67⋊C4—21no—
403#67⋊C4—21no—
404D3×C22⋊C4—21no—
405D3×C22⋊C4—21no—
406D3×C22⋊C4—21no—
407D3×C22⋊C4—21no—
408D3×C22⋊C4—21no—
409#878—21no—
410#878—21no—
411#878—21no—
412#878—21no—
413#878—21no—
414#878—21no—
415#875—21no—
416#874C2311yescharacteristic
417#874C2311yescharacteristic
418#874C2311yescharacteristic
419C4×D12—21no—
420C4×D12—21no—
421C4×D12C2311yescharacteristic
422C4×D12C2311yescharacteristic
423C4×D12C2311yescharacteristic
424C4×D12C2311yescharacteristic
425C4×D12C2311yescharacteristic
426C4×D12C2311yescharacteristic
427#872C2311yescharacteristic
428#872C2311yescharacteristic
429C42×D3—21no—
430C42×D3C2311yescharacteristic
431#870C2311yescharacteristic
432#870C2311yescharacteristic
433#869C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C4×Dic6C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#107C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×#102C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#102C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×#97C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#832C2311yescharacteristic
460#832C2311yescharacteristic
461#832C2311yescharacteristic
462#832C2311yescharacteristic
463#832C2311yescharacteristic
464#832C2311yescharacteristic
465#832C2311yescharacteristic
466#821C2311yescharacteristic
467#821C2311yescharacteristic
468#821C2311yescharacteristic
469#821C2311yescharacteristic
470#821C2311yescharacteristic
471#821C2311yescharacteristic
472#821C2311yescharacteristic
473#821C2311yescharacteristic
474#821C2311yescharacteristic
475#821C2311yescharacteristic
476#818C2311yescharacteristic
477#817C2311yescharacteristic
478#817C2311yescharacteristic
479#815C2311yescharacteristic
480#815C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490C8×Dic3C2311yescharacteristic
491#809C2311yescharacteristic
492#809C2311yescharacteristic
493#809C2311yescharacteristic
494#809C2311yescharacteristic
495#809C2311yescharacteristic
496#809C2311yescharacteristic
497#809C2311yescharacteristic
498#809C2311yescharacteristic
499#809C2311yescharacteristic
500#809C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4⋊(C3⋊C8)C2311yescharacteristic
510#803C2311yescharacteristic
511#803C2311yescharacteristic
512C4×C3⋊C8C2311yescharacteristic
513C2×AGL(1,ℤ/8)—31no—
514C22×D8—31no—
515C22×D8—31no—
516#559—31no—
517#559—31no—
518#559—31no—
519#559C2×D311yescharacteristic, complemented
520#554—31no—
521#554—31no—
522#554—31no—
523#554—31no—
524#554—31no—
525#554—61no—
526#554—61no—
527#554—61no—
528#554C2×D311yescharacteristic, complemented
529#550—31no—
530#550—31no—
531#550—31no—
532#550—31no—
533D4×Q8—31no—
534D4×Q8—31no—
535D4×Q8—61no—
536#546—61no—
537#546—61no—
538#546—61no—
539#546—61no—
540#544—31no—
541#544—31no—
542#543—61no—
543#543—61no—
544#540—61no—
545#540—61no—
546#535—31no—
547#535—31no—
548#533—31no—
549#533—31no—
550#532—61no—
551#532—61no—
552C2×#127—31no—
553C2×C22⋊Q8—61no—
554C2×C22⋊Q8—61no—
555#518—31no—
556#518—31no—
557#518—31no—
558#518—31no—
559C4×#41—31no—
560C2×C4×D4—31no—
561#490—31no—
562#490—31no—
563#490—31no—
564#490—31no—
565#490—31no—
566#490—31no—
567#490—31no—
568#490C2×D311yescharacteristic, complemented
569#489—31no—
570#489—31no—
571#489—31no—
572#489C2×D311yescharacteristic, complemented
573#488—31no—
574#488—31no—
575#488—31no—
576#488C2×D311yescharacteristic, complemented
577#486—31no—
578#486—31no—
579#486—31no—
580#486—31no—
581#486—31no—
582#486—31no—
583#486—31no—
584#486—31no—
585#479—31no—
586#479C2×D311yescharacteristic, complemented
587#478—31no—
588#478—31no—
589#478—31no—
590#478—31no—
591#478—31no—
592#478—31no—
593#478—31no—
594#478—31no—
595#478—31no—
596#478C2×D311yescharacteristic, complemented
597#477—31no—
598#476—31no—
599#476—31no—
600#476—31no—
601#476—31no—
602#476—31no—
603#475—31no—
604#474—31no—
605#474—31no—
606#474—31no—
607#474—31no—
608#474C2×D311yescharacteristic, complemented
609#463—31no—
610#463—31no—
611#463—31no—
612#463—31no—
613#463—31no—
614#463—31no—
615#463C2×D311yescharacteristic, complemented
616#463C2×D311yescharacteristic, complemented
617#459—31no—
618#459—31no—
619#459—31no—
620#459—31no—
621#459—31no—
622#459—31no—
623#459—31no—
624#459—31no—
625#459—31no—
626#459—31no—
627#459—31no—
628#459—31no—
629#459—31no—
630#459—31no—
631#459—31no—
632#459C2×D311yescharacteristic
633#446—31no—
634#446—31no—
635#446—31no—
636#446—31no—
637#446—31no—
638#446C2×D311yescharacteristic, complemented
639C8×Q8—31no—
640C8×Q8—31no—
641#442—31no—
642#442—31no—
643#442—31no—
644#442—31no—
645#442—31no—
646#442—31no—
647#442—31no—
648#442—31no—
649#442—31no—
650#442C2×D311yescharacteristic, complemented
651#440—31no—
652#440C2×D311yescharacteristic, complemented
653C4×SD16—31no—
654C4×SD16—31no—
655C4×D8—31no—
656C4×D8—31no—
657C4×D8—31no—
658C4×D8—31no—
659C4×D8—31no—
660C4×D8—31no—
661C4×D8—31no—
662C4×D8—31no—
663C4×D8—31no—
664C4×D8C2×D311yescharacteristic, complemented
665#428—31no—
666#427—31no—
667#427—31no—
668#424—31no—
669#424—31no—
670C2×C4⋊C8—31no—
671#418—31no—
672#418—31no—
673#418—31no—
674#418—31no—
675#418—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679C2×#102—31no—
680C2×#102—31no—
681#405—31no—
682#405—31no—
683C4×M16—31no—
684C23×D3—21no—
685C23×D3—21no—
686C23×D3—21no—
687C2×C3×Q8—21no—
688C2×C3×Q8C2×D411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690C2×C3×D4—21no—
691C2×C3×D4—21no—
692C2×C3×D4C2411yescharacteristic
693C2×C3×D4C2411yescharacteristic
694C2×C3×D4C2411yescharacteristic
695C22×C3×C4—21no—
696C22×C3×C4—21no—
697C22×C3×C4—21no—
698C22×C3×C4—21no—
699C22×C3×C4—21no—
700C2×#67—21no—
701C2×#67—21no—
702C2×#67—21no—
703C2×#67—21no—
704C2×#67—21no—
705C2×#67—21no—
706C2×#67—21no—
707C2×#67—21no—
708C2×#67—21no—
709C2×#67—21no—
710C2×#67—21no—
711C22×Dic3—21no—
712C22×Dic3—21no—
713C22×Dic3—21no—
714C22×Dic3—21no—
715C22×Dic3—21no—
716#239—22no—
717#239—22no—
718#239—82no—
719D3×Q8—82no—
720#237—82no—
721D3×D4—22no—
722D3×D4—22no—
723D3×D4—22no—
724D3×D4—22no—
725D3×D4—22no—
726D3×D4—82no—
727D3×D4—82no—
728D3×D4#4114yescomplemented
729#235—82no—
730#235—82no—
731C2×D12—21no—
732C2×D12—21no—
733C2×D12—21no—
734C2×D12—21no—
735C2×D12—21no—
736C2×D12—21no—
737C2×D12—21no—
738C2×D12C2411yescharacteristic
739C2×D12C2411yescharacteristic
740C2×D12C2411yescharacteristic
741C2×D12C2411yescharacteristic
742C2×C4×D3—21no—
743C2×C4×D3—21no—
744C2×C4×D3—21no—
745C2×C4×D3—21no—
746C2×C4×D3—21no—
747C2×C4×D3—21no—
748C2×C4×D3—21no—
749C2×C4×D3—21no—
750C2×C4×D3—21no—
751C2×C4×D3—21no—
752C2×C4×D3—21no—
753C2×C4×D3—21no—
754C2×C4×D3—21no—
755C2×C4×D3—21no—
756C2×C4×D3—82no—
757C2×C4×D3C2×D411yescharacteristic
758C2×C4×D3C2×D411yescharacteristic
759C2×C4×D3C2411yescharacteristic
760C2×Dic6—21no—
761C2×Dic6—21no—
762C2×Dic6—21no—
763C2×Dic6—21no—
764C2×Dic6—21no—
765C2×Dic6—82no—
766C2×Dic6C2×D411yescharacteristic
767C2×Dic6C2×D411yescharacteristic
768C2×Dic6C2×D411yescharacteristic
769C3×SD16—22no—
770C3×D8—22no—
771C3×D8—22no—
772C2×C3×C8C2411yescharacteristic
773C2×C3×C8C2411yescharacteristic
774C2×C3×C8C2411yescharacteristic
775C2×C3×C8C2411yescharacteristic
776C3×C4⋊C4—21no—
777C3×C4⋊C4—21no—
778C3×C4⋊C4—21no—
779C3×C4⋊C4—21no—
780C3×C4⋊C4—21no—
781C3×C4⋊C4—21no—
782C3×C4⋊C4C2×D411yescharacteristic
783C3×C4⋊C4C2×D411yescharacteristic
784C3×C4⋊C4C2×D411yescharacteristic
785C3×C4⋊C4C2411yescharacteristic
786C3×C4⋊C4C2411yescharacteristic
787C3×C4⋊C4C2411yescharacteristic
788C3×C4⋊C4C2411yescharacteristic
789C3×C22⋊C4—21no—
790C3×C22⋊C4—21no—
791C3×C22⋊C4—21no—
792C3×C22⋊C4—21no—
793C3×C22⋊C4—21no—
794C3×C22⋊C4—21no—
795C3×C22⋊C4—21no—
796C3×C22⋊C4—21no—
797C3×C22⋊C4—21no—
798C3×C42—21no—
799C3×C42C2411yescharacteristic
800C3×C42C2411yescharacteristic
801C3×C42C2411yescharacteristic
802#217—21no—
803#217—21no—
804#217—21no—
805#217—21no—
806#217—21no—
807#215—22no—
808#213—22no—
809#213—22no—
810#213—22no—
811#213—22no—
812#213—22no—
813(C2×D3)⋊C4—21no—
814(C2×D3)⋊C4—21no—
815(C2×D3)⋊C4—21no—
816(C2×D3)⋊C4—21no—
817(C2×D3)⋊C4—21no—
818(C2×D3)⋊C4—21no—
819(C2×D3)⋊C4—21no—
820(C2×D3)⋊C4—21no—
821(C2×D3)⋊C4—21no—
822(C2×D3)⋊C4—21no—
823(C2×D3)⋊C4—21no—
824(C2×D3)⋊C4—21no—
825(C2×D3)⋊C4—21no—
826(C2×D3)⋊C4—21no—
827(C2×D3)⋊C4—21no—
828(C2×D3)⋊C4—21no—
829(C2×D3)⋊C4—21no—
830(C2×D3)⋊C4—21no—
831(C2×D3)⋊C4—21no—
832(C2×D3)⋊C4C2×D411yescharacteristic
833(C2×D3)⋊C4C2×D411yescharacteristic
834(C2×D3)⋊C4C2×D411yescharacteristic
835(C2×D3)⋊C4C2×D411yescharacteristic
836C4⋊Dic3—21no—
837C4⋊Dic3—21no—
838C4⋊Dic3—21no—
839C4⋊Dic3—21no—
840C4⋊Dic3C2×D411yescharacteristic
841C4⋊Dic3C2×D411yescharacteristic
842C4⋊Dic3C2×D411yescharacteristic
843C4⋊Dic3C2411yescharacteristic
844C4⋊Dic3C2411yescharacteristic
845C4⋊Dic3C2411yescharacteristic
846C4⋊Dic3C2411yescharacteristic
847Dic3⋊C4—21no—
848Dic3⋊C4—21no—
849Dic3⋊C4—21no—
850Dic3⋊C4—21no—
851Dic3⋊C4—21no—
852Dic3⋊C4—21no—
853Dic3⋊C4—21no—
854Dic3⋊C4—21no—
855Dic3⋊C4—21no—
856Dic3⋊C4—21no—
857Dic3⋊C4—21no—
858Dic3⋊C4C2×D411yescharacteristic
859Dic3⋊C4C2×D411yescharacteristic
860Dic3⋊C4C2×D411yescharacteristic
861Dic3⋊C4C2×D411yescharacteristic
862Dic3⋊C4C2×D411yescharacteristic
863Dic3⋊C4C2×D411yescharacteristic
864Dic3⋊C4C2×D411yescharacteristic
865Dic3⋊C4C2×D411yescharacteristic
866Dic3⋊C4C2×D411yescharacteristic
867Dic3⋊C4C2×D411yescharacteristic
868C4×Dic3—21no—
869C4×Dic3—21no—
870C4×Dic3—21no—
871C4×Dic3—21no—
872C4×Dic3C2×D411yescharacteristic
873C4×Dic3C2×D411yescharacteristic
874C4×Dic3C2411yescharacteristic
875C4×Dic3C2411yescharacteristic
876C4×Dic3C2411yescharacteristic
877C2×C3⋊C8C2411yescharacteristic
878C2×C3⋊C8C2411yescharacteristic
879C2×C3⋊C8C2411yescharacteristic
880C2×C3⋊C8C2411yescharacteristic
881D24—22no—
882D24—22no—
883D24—22no—
884ΓL(1,𝔽25)—22no—
885ΓL(1,𝔽25)—22no—
886D3×C8—22no—
887D3×C8—22no—
888C2×#41—31no—
889C2×#41—61no—
890C2×#41—61no—
891C2×#41—61no—
892C2×#41—61no—
893C22×Q8—61no—
894C22×Q8—61no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—61no—
899C22×D4—61no—
900C23×C4—61no—
901AGL(1,ℤ/8)—64no—
902C2×SD16—31no—
903C2×SD16C22×D311yescharacteristic
904C2×D8—31no—
905C2×D8—31no—
906C2×D8—31no—
907C2×D8—31no—
908C2×D8—31no—
909C2×D8—31no—
910C2×D8—31no—
911C2×D8—31no—
912C2×D8—64no—
913C2×D8—64no—
914C2×D8C22×D311yescharacteristic
915C2×D8C22×D311yescharacteristic
916C2×M16—31no—
917C2×M16—31no—
918C22×C8—31no—
919C22×C8—31no—
920C4⋊Q8—31no—
921C4⋊Q8—31no—
922C4⋊Q8—31no—
923C4⋊Q8—31no—
924C4⋊Q8—31no—
925C4⋊Q8—31no—
926C4⋊Q8—31no—
927C4⋊Q8—61no—
928C4⋊Q8—61no—
929C4⋊Q8C22×D311yescharacteristic
930#127—31no—
931#127—31no—
932#127—31no—
933#127—31no—
934#127—31no—
935#127—31no—
936#127—31no—
937#127—61no—
938#127—61no—
939#127C22×D311yescharacteristic
940#125—31no—
941#125—31no—
942#125—31no—
943#125—31no—
944#125—31no—
945#125—31no—
946#125—61no—
947#125—61no—
948#125C22×D311yescharacteristic
949#125C22×D311yescharacteristic
950#124—21no—
951#124—31no—
952#124—31no—
953#124—61no—
954#124—61no—
955#124—61no—
956#124C22×D311yescharacteristic
957#124C22×D311yescharacteristic
958#123—21no—
959#123—21no—
960#123—61no—
961#123—61no—
962#123—61no—
963#123—61no—
964#123—61no—
965#123—61no—
966C22⋊Q8—21no—
967C22⋊Q8—21no—
968C22⋊Q8—21no—
969C22⋊Q8—31no—
970C22⋊Q8—31no—
971C22⋊Q8—31no—
972C22⋊Q8—31no—
973C22⋊Q8—61no—
974C22⋊Q8—61no—
975C22⋊Q8—61no—
976C22⋊Q8—61no—
977C22⋊Q8—61no—
978C22⋊Q8—61no—
979C22⋊Q8—61no—
980C22⋊Q8—61no—
981C22⋊Q8—61no—
982C22⋊Q8—61no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994C22⋊Q8—61no—
995C22⋊Q8—61no—
996C22⋊Q8—61no—
997C22⋊Q8—61no—
998C22⋊Q8—61no—
999C22⋊Q8—61no—
1000#121—61no—
1001#121—61no—
1002#121—61no—
1003#121—61no—
1004#121—61no—
1005#121—61no—
1006#121—61no—
1007#121—61no—
1008#121—61no—
1009#121—61no—
1010#121—61no—
1011#121—61no—
1012#121—61no—
1013#121—61no—
1014#121—61no—
1015#121—61no—
1016#120—61no—
1017#120—61no—
1018#120—61no—
1019#120—61no—
1020C4×Q8—31no—
1021C4×Q8—31no—
1022C4×Q8—31no—
1023C4×Q8—31no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8C22×D311yescharacteristic
1027C4×Q8C22×D311yescharacteristic
1028C4×D4—21no—
1029C4×D4—31no—
1030C4×D4—31no—
1031C4×D4—31no—
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—31no—
1035C4×D4—31no—
1036C4×D4—31no—
1037C4×D4—31no—
1038C4×D4—31no—
1039C4×D4—31no—
1040C4×D4—31no—
1041C4×D4—31no—
1042C4×D4—31no—
1043C4×D4—31no—
1044C4×D4—31no—
1045C4×D4—31no—
1046C4×D4—61no—
1047C4×D4—61no—
1048C4×D4—61no—
1049C4×D4—61no—
1050C4×D4—61no—
1051C4×D4—61no—
1052C4×D4—61no—
1053C4×D4—61no—
1054C4×D4—61no—
1055C4×D4—61no—
1056C4×D4—61no—
1057C4×D4—61no—
1058C4×D4—61no—
1059C4×D4—61no—
1060C4×D4—61no—
1061C4×D4C22×D311yescharacteristic
1062C4×D4C22×D311yescharacteristic
1063C4×D4C22×D311yescharacteristic
1064C4×D4C22×D311yescharacteristic
1065C4×D4C22×D311yescharacteristic
1066#117—31no—
1067#117—31no—
1068#117—31no—
1069#117—31no—
1070#117—31no—
1071#117—61no—
1072C2×C4⋊C4—21no—
1073C2×C4⋊C4—31no—
1074C2×C4⋊C4—61no—
1075C2×C4⋊C4—61no—
1076C2×C4⋊C4—61no—
1077C2×C4⋊C4—61no—
1078C2×C4⋊C4—61no—
1079C2×C22⋊C4—61no—
1080C2×C22⋊C4—61no—
1081C2×C22⋊C4—61no—
1082C2×C22⋊C4—61no—
1083C2×C22⋊C4—61no—
1084C2×C22⋊C4—61no—
1085C2×C22⋊C4—61no—
1086C2×C22⋊C4—61no—
1087C2×C22⋊C4—61no—
1088C2×C42—31no—
1089C2×C42—61no—
1090#107—31no—
1091#107—31no—
1092#107—31no—
1093#107—31no—
1094#107C22×D311yescharacteristic
1095#107C22×D311yescharacteristic
1096#106—31no—
1097#106—31no—
1098#106—31no—
1099#106—31no—
1100#106—31no—
1101#106C22×D311yescharacteristic
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104C4⋊C8—31no—
1105C4⋊C8—31no—
1106C4⋊C8—31no—
1107C4⋊C8—31no—
1108C4⋊C8—31no—
1109C4⋊C8—31no—
1110C4⋊C8—31no—
1111C4⋊C8C22×D311yescharacteristic
1112C4⋊C8C22×D311yescharacteristic
1113C4⋊C8C22×D311yescharacteristic
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103C22×D311yescharacteristic
1118#103C22×D311yescharacteristic
1119#103C22×D311yescharacteristic
1120#102—31no—
1121#102—31no—
1122#102—31no—
1123#102—31no—
1124#102—31no—
1125#102—31no—
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102—31no—
1130#102—31no—
1131#102—31no—
1132#102—31no—
1133#102—31no—
1134#102—31no—
1135#102—31no—
1136#102—31no—
1137#102—31no—
1138#102—31no—
1139#102—31no—
1140#102—31no—
1141#102—31no—
1142#102—31no—
1143#102—31no—
1144#102—31no—
1145#102—31no—
1146#102—31no—
1147#102C22×D311yescharacteristic
1148#102C22×D311yescharacteristic
1149#102C22×D311yescharacteristic
1150#102C22×D311yescharacteristic
1151#102C22×D311yescharacteristic
1152#102C22×D311yescharacteristic
1153#102C22×D311yescharacteristic
1154#97—31no—
1155#97—31no—
1156#97—31no—
1157#97—31no—
1158#97C22×D311yescharacteristic
1159#97C22×D311yescharacteristic
1160C4×C8—31no—
1161C4×C8—31no—
1162C4×C8—31no—
1163C4×C8—31no—
1164C4×C8—31no—
1165C4×C8C22×D311yescharacteristic
1166C23×C3—21no—
1167C23×C3—21no—
1168C23×C3—21no—
1169C22×D3—21no—
1170C22×D3—24no—
1171C22×D3—21no—
1172C22×D3—21no—
1173C22×D3—21no—
1174C22×D3—42no—
1175C22×D3—42no—
1176C22×D3—81no—
1177C22×D3—81no—
1178C22×D3—81no—
1179C22×D3—81no—
1180C22×D3—81no—
1181C22×D3—81no—
1182C22×D3C22×D411yescharacteristic
1183C3×Q8—21no—
1184C3×Q8—21no—
1185C3×Q8—41no—
1186C3×Q8—81no—
1187C3×D4—21no—
1188C3×D4—21no—
1189C3×D4—21no—
1190C3×D4—21no—
1191C3×D4—21no—
1192C3×D4—42no—
1193C3×D4—81no—
1194C3×D4C2×#4112yes—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—81no—
1201C2×C3×C4—81no—
1202C2×C3×C4—81no—
1203C2×C3×C4—81no—
1204C2×C3×C4—81no—
1205C2×C3×C4C22×D411yescharacteristic
1206C2×C3×C4C22×D411yescharacteristic
1207C2×C3×C4C22×D411yescharacteristic
1208C2×C3×C4C22×D411yescharacteristic
1209C2×C3×C4C22×D411yescharacteristic
1210C2×C3×C4C22×D411yescharacteristic
1211C2×C3×C4C2511yescharacteristic
1212#67—24no—
1213#67—42no—
1214#67—42no—
1215#67—42no—
1216#67—42no—
1217#67—81no—
1218#67—81no—
1219#67—81no—
1220#67—81no—
1221#67—81no—
1222#67—81no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—42no—
1228C2×Dic3—81no—
1229C2×Dic3—81no—
1230C2×Dic3—81no—
1231C2×Dic3—81no—
1232C2×Dic3C22×D411yescharacteristic
1233C2×Dic3C22×D411yescharacteristic
1234C2×Dic3C22×D411yescharacteristic
1235C2×Dic3C22×D411yescharacteristic
1236C2×Dic3C22×D411yescharacteristic
1237C2×Dic3C22×D411yescharacteristic
1238C2×Dic3C22×D411yescharacteristic
1239D12—21no—
1240D12—21no—
1241D12—21no—
1242D12—21no—
1243D12—21no—
1244D12—21no—
1245D12—21no—
1246D12—42no—
1247D12—42no—
1248D12—81no—
1249D12—81no—
1250D12—81no—
1251D12—81no—
1252D12—81no—
1253D12C2×#4112yes—
1254C4×D3—22no—
1255C4×D3—41no—
1256C4×D3—42no—
1257C4×D3—42no—
1258C4×D3—42no—
1259C4×D3—42no—
1260C4×D3—81no—
1261C4×D3—81no—
1262C4×D3—81no—
1263C4×D3—81no—
1264C4×D3—81no—
1265C4×D3—81no—
1266C4×D3—81no—
1267C4×D3—81no—
1268C4×D3—81no—
1269C4×D3—81no—
1270C4×D3C2×#4112yes—
1271C4×D32−1+412yes—
1272Dic6—22no—
1273Dic6—22no—
1274Dic6—41no—
1275Dic6—42no—
1276Dic6—81no—
1277Dic6—81no—
1278Dic6—81no—
1279Dic6—81no—
1280C3×C8—21no—
1281C3×C8—21no—
1282C3×C8—21no—
1283C3×C8—21no—
1284C3⋊C8—21no—
1285C3⋊C8—21no—
1286C3⋊C8—21no—
1287C3⋊C8—21no—
1288C24—61no—
1289C24—61no—
1290C24—61no—
1291#41—62no—
1292#41—62no—
1293#41—242no—
1294#41—242no—
1295#41—242no—
1296#41—242no—
1297C2×Q8—21no—
1298C2×Q8—31no—
1299C2×Q8—31no—
1300C2×Q8—31no—
1301C2×Q8—61no—
1302C2×Q8—61no—
1303C2×Q8—61no—
1304C2×Q8—61no—
1305C2×Q8—61no—
1306C2×Q8—242no—
1307C2×Q8—242no—
1308C2×Q8D3×D411yescharacteristic
1309C2×Q8C23×D311yescharacteristic
1310C2×D4—21no—
1311C2×D4—21no—
1312C2×D4—34no—
1313C2×D4—31no—
1314C2×D4—31no—
1315C2×D4—31no—
1316C2×D4—31no—
1317C2×D4—61no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—61no—
1324C2×D4—61no—
1325C2×D4—61no—
1326C2×D4—61no—
1327C2×D4—61no—
1328C2×D4—61no—
1329C2×D4—61no—
1330C2×D4—61no—
1331C2×D4—61no—
1332C2×D4—61no—
1333C2×D4—61no—
1334C2×D4—61no—
1335C2×D4—61no—
1336C2×D4—61no—
1337C2×D4—61no—
1338C2×D4—61no—
1339C2×D4—61no—
1340C2×D4—242no—
1341C2×D4—242no—
1342C2×D4C23×D311yescharacteristic
1343C2×D4C23×D311yescharacteristic
1344C2×D4C23×D311yescharacteristic
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—31no—
1351C22×C4—31no—
1352C22×C4—31no—
1353C22×C4—61no—
1354C22×C4—61no—
1355C22×C4—61no—
1356C22×C4—61no—
1357C22×C4—61no—
1358C22×C4—61no—
1359C22×C4—61no—
1360C22×C4—61no—
1361C22×C4—61no—
1362C22×C4—61no—
1363C22×C4—61no—
1364C22×C4—61no—
1365C22×C4—61no—
1366C22×C4—61no—
1367C22×C4—61no—
1368C22×C4—61no—
1369C22×C4—61no—
1370C22×C4—61no—
1371C22×C4—61no—
1372C22×C4—242no—
1373SD16—22no—
1374SD16—62no—
1375D8—22no—
1376D8—22no—
1377D8—62no—
1378D8—62no—
1379D8—62no—
1380D8—62no—
1381D8—62no—
1382D8—62no—
1383D8—62no—
1384D8—62no—
1385M16—62no—
1386M16—62no—
1387C2×C8—31no—
1388C2×C8—31no—
1389C2×C8—31no—
1390C2×C8—31no—
1391C2×C8—62no—
1392C2×C8—62no—
1393C2×C8C23×D311yescharacteristic
1394C2×C8C23×D311yescharacteristic
1395C2×C8C23×D311yescharacteristic
1396C2×C8C23×D311yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—31no—
1404C4⋊C4—31no—
1405C4⋊C4—31no—
1406C4⋊C4—31no—
1407C4⋊C4—31no—
1408C4⋊C4—31no—
1409C4⋊C4—31no—
1410C4⋊C4—31no—
1411C4⋊C4—31no—
1412C4⋊C4—31no—
1413C4⋊C4—31no—
1414C4⋊C4—31no—
1415C4⋊C4—31no—
1416C4⋊C4—31no—
1417C4⋊C4—31no—
1418C4⋊C4—31no—
1419C4⋊C4—31no—
1420C4⋊C4—61no—
1421C4⋊C4—61no—
1422C4⋊C4—61no—
1423C4⋊C4—61no—
1424C4⋊C4—61no—
1425C4⋊C4—61no—
1426C4⋊C4—61no—
1427C4⋊C4—61no—
1428C4⋊C4—61no—
1429C4⋊C4—61no—
1430C4⋊C4—61no—
1431C4⋊C4—61no—
1432C4⋊C4—61no—
1433C4⋊C4—61no—
1434C4⋊C4—61no—
1435C4⋊C4D3×D411yescharacteristic
1436C4⋊C4D3×D411yescharacteristic
1437C4⋊C4D3×D411yescharacteristic
1438C4⋊C4C23×D311yescharacteristic
1439C4⋊C4C23×D311yescharacteristic
1440C4⋊C4C23×D311yescharacteristic
1441C4⋊C4C23×D311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—31no—
1452C22⋊C4—31no—
1453C22⋊C4—31no—
1454C22⋊C4—31no—
1455C22⋊C4—61no—
1456C22⋊C4—61no—
1457C22⋊C4—61no—
1458C22⋊C4—61no—
1459C22⋊C4—61no—
1460C22⋊C4—61no—
1461C22⋊C4—61no—
1462C22⋊C4—61no—
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⋊C4—61no—
1479C42—21no—
1480C42—31no—
1481C42—31no—
1482C42—31no—
1483C42—31no—
1484C42—31no—
1485C42—61no—
1486C42—61no—
1487C42—61no—
1488C42—61no—
1489C42C23×D311yescharacteristic
1490C42C23×D311yescharacteristic
1491C42C23×D311yescharacteristic
1492C22×C3—22no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3C23×D411yescharacteristic
1502C2×D3—21no—
1503C2×D3—21no—
1504C2×D3—22no—
1505C2×D3—41no—
1506C2×D3—41no—
1507C2×D3—41no—
1508C2×D3—41no—
1509C2×D3—41no—
1510C2×D3—41no—
1511C2×D3—41no—
1512C2×D3—41no—
1513C2×D3—41no—
1514C2×D3—41no—
1515C2×D3—41no—
1516C2×D3—84no—
1517C2×D3—162no—
1518C2×D3—162no—
1519C2×D3#54812yes—
1520C3×C4—21no—
1521C3×C4—21no—
1522C3×C4—21no—
1523C3×C4—21no—
1524C3×C4—21no—
1525C3×C4—21no—
1526C3×C4—41no—
1527C3×C4—41no—
1528C3×C4—41no—
1529C3×C4—41no—
1530C3×C4—41no—
1531C3×C4C22×#4111yescharacteristic
1532C3×C4C2×2−1+411yescharacteristic
1533Dic3—21no—
1534Dic3—21no—
1535Dic3—21no—
1536Dic3—21no—
1537Dic3—21no—
1538Dic3—41no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3#54812yes—
1543Dic3#57612yes—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—31no—
1548C23—64no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—122no—
1554C23—122no—
1555C23—241no—
1556C23—241no—
1557C23—241no—
1558C23—241no—
1559C23—241no—
1560C23—241no—
1561Q8—21no—
1562Q8—21no—
1563Q8—41no—
1564Q8—62no—
1565Q8—62no—
1566Q8—81no—
1567Q8—121no—
1568Q8—122no—
1569Q8—241no—
1570Q8—241no—
1571Q8—241no—
1572Q8—241no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—32no—
1579D4—42no—
1580D4—64no—
1581D4—61no—
1582D4—61no—
1583D4—61no—
1584D4—61no—
1585D4—61no—
1586D4—61no—
1587D4—61no—
1588D4—81no—
1589D4—122no—
1590D4—122no—
1591D4—122no—
1592D4—122no—
1593D4—122no—
1594D4—122no—
1595D4—241no—
1596D4—241no—
1597D4—241no—
1598D4—241no—
1599D4—241no—
1600D4—241no—
1601D4—241no—
1602D4—241no—
1603D4—241no—
1604D4—241no—
1605D4—241no—
1606D4D3×#4112yes—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—31no—
1613C2×C4—31no—
1614C2×C4—32no—
1615C2×C4—32no—
1616C2×C4—31no—
1617C2×C4—31no—
1618C2×C4—31no—
1619C2×C4—31no—
1620C2×C4—31no—
1621C2×C4—62no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—121no—
1632C2×C4—122no—
1633C2×C4—122no—
1634C2×C4—122no—
1635C2×C4—122no—
1636C2×C4—122no—
1637C2×C4—241no—
1638C2×C4—241no—
1639C2×C4—241no—
1640C2×C4—241no—
1641C2×C4—241no—
1642C2×C4—241no—
1643C2×C4—241no—
1644C2×C4—241no—
1645C2×C4—241no—
1646C2×C4—241no—
1647C2×C4—241no—
1648C2×C4—241no—
1649C2×C4—241no—
1650C2×C4—241no—
1651C2×C4C2×D3×D411yescharacteristic
1652C2×C4C2×D3×D411yescharacteristic
1653C2×C4C2×D3×D411yescharacteristic
1654C2×C4C2×D3×D411yescharacteristic
1655C2×C4C2×D3×D411yescharacteristic
1656C2×C4C2×D3×D411yescharacteristic
1657C2×C4C24×D311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—61no—
1663C8—61no—
1664C8—61no—
1665C8—61no—
1666C2×C3—42no—
1667C2×C3—81no—
1668C2×C3—81no—
1669C2×C3C2×#54811yescharacteristic
1670C2×C3C2×#57611yescharacteristic
1671C2×C3#358511yescharacteristic
1672D3—22no—
1673D3—42no—
1674D3—81no—
1675D3—81no—
1676D3—81no—
1677C22—22no—
1678C22—32no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—61no—
1688C22—61no—
1689C22—62no—
1690C22—121no—
1691C22—121no—
1692C22—121no—
1693C22—121no—
1694C22—121no—
1695C22—121no—
1696C22—121no—
1697C22—121no—
1698C22—121no—
1699C22—121no—
1700C22—121no—
1701C22—244no—
1702C22—482no—
1703C22—482no—
1704C22C22×D3×D411yescharacteristic
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—32no—
1712C4—32no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—61no—
1719C4—61no—
1720C4—61no—
1721C4—61no—
1722C4—61no—
1723C4—121no—
1724C4—121no—
1725C4—121no—
1726C4—121no—
1727C4C2×D3×#4111yescharacteristic
1728C4D3×2−1+411yescharacteristic
1729C3#6133911yescharacteristic, complemented, Sylow
1730C2—42no—
1731C2—62no—
1732C2—81no—
1733C2—81no—
1734C2—122no—
1735C2—241no—
1736C2—241no—
1737C2—241no—
1738C2D3×#54811yescharacteristic
1739C2#8720011yescharacteristic
1740C2D3×#57611yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3370C2
socleC22×C3C23×D4
hypercenter#3370D3
hypocenterC3#61339
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #87051C2semidirect
2. #86949C2semidirect
3. C3×#3370C2semidirect
4. #83714C2semidirect
5. #83638C2semidirect
6. #81715C2semidirect
7. #81708C2semidirect
8. #81680C2semidirect
9. #81674C2semidirect
10. #81638C2semidirect
11. #81633C2semidirect
12. #81229C2semidirect
13. #81217C2semidirect
14. #81168C2semidirect
15. #81152C2semidirect
16. #80992C2semidirect
17. #80967C2semidirect
18. #80536C2semidirect
19. #80536C2semidirect
20. #80521C2semidirect
21. #80517C2semidirect
22. D3×#459C2semidirect
23. #80321C2semidirect
24. #79969C2semidirect
25. #79961C2semidirect
26. #79867C2semidirect
27. #79851C2semidirect
28. #79773C2semidirect
29. #79753C2semidirect
30. #79588C2semidirect
31. #79567C2semidirect
33. C3×#559C22semidirect
34. C3×#554C22semidirect
39. #5727C22semidirect
40. #5718C22semidirect
42. #5690C22semidirect
43. #5690C22semidirect
46. #5681C22semidirect
47. #5681C22semidirect
62. #5585C22semidirect
63. #5579C22semidirect
65. #5577C22semidirect
68. #5553C22semidirect
69. #5553C22semidirect
76. #5539C22semidirect
77. #5539C22semidirect
78. D4×Dic6C22semidirect
81. C3×#490C22semidirect
82. C3×#489C22semidirect
83. C3×#488C22semidirect
84. C3×#479C22semidirect
85. C3×#478C22semidirect
86. C3×#474C22semidirect
87. C3×#463C22semidirect
88. C3×#463C22semidirect
90. C3×#446C22semidirect
91. C3×#442C22semidirect
92. C3×#440C22semidirect
93. C3×C4×D8C22semidirect
94. #5165C22semidirect
95. #5165C22semidirect
96. Dic3×SD16C22semidirect
97. #5152C22semidirect
100. #5150C22semidirect
101. #5150C22semidirect
102. Dic3×D8C22semidirect
103. #5088C22semidirect
104. #5084C22semidirect
106. #5071C22semidirect
107. #5067C22semidirect
108. #5067C22semidirect
109. #5066C22semidirect
110. #5066C22semidirect
111. #5057C22semidirect
112. #5057C22semidirect
113. #5056C22semidirect
114. #5055C22semidirect
115. #5026C22semidirect
116. #5024C22semidirect
117. #5022C22semidirect
119. #5015C22semidirect
120. #5015C22semidirect
121. #5014C22semidirect
122. #5014C22semidirect
123. #5014C22semidirect
124. C4×#213C22semidirect
125. C4×#213C22semidirect
126. #5009C22semidirect
127. #5007C22semidirect
128. #4891C22semidirect
129. #4890C22semidirect
130. #4890C22semidirect
131. #4890C22semidirect
134. #4872C22semidirect
135. #4872C22semidirect
136. #4871C22semidirect
137. #4870C22semidirect
138. #4869C22semidirect
140. #4847C22semidirect
141. #4847C22semidirect
143. #4843C22semidirect
144. #4843C22semidirect
145. #4842C22semidirect
149. #4830C22semidirect
150. #4828C22semidirect
151. #4828C22semidirect
152. #4819C22semidirect
153. #4819C22semidirect
157. #4800C22semidirect
158. #4800C22semidirect
159. #4794C22semidirect
160. #4794C22semidirect
161. #4793C22semidirect
162. #4791C22semidirect
163. #4788C22semidirect
166. #4786C22semidirect
167. #4786C22semidirect
168. #4785C22semidirect
169. #4785C22semidirect
177. #4766C22semidirect
178. #4764C22semidirect
179. #4764C22semidirect
180. #4763C22semidirect
181. #4761C22semidirect
182. #4761C22semidirect
183. #4760C22semidirect
184. #4760C22semidirect
185. #4760C22semidirect
186. #4760C22semidirect
187. #4760C22semidirect
188. #4760C22semidirect
189. #4756C22semidirect
190. #4756C22semidirect
191. #4756C22semidirect
192. #4713C22semidirect
193. #4713C22semidirect
194. #4711C22semidirect
195. #4711C22semidirect
198. #4701C22semidirect
199. #4701C22semidirect
200. #4694C22semidirect
201. C4×D24C22semidirect
203. C8×Dic6C22semidirect
211. #3370D3semidirect
519. #559C2×D3semidirect
528. #554C2×D3semidirect
568. #490C2×D3semidirect
572. #489C2×D3semidirect
576. #488C2×D3semidirect
586. #479C2×D3semidirect
596. #478C2×D3semidirect
608. #474C2×D3semidirect
615. #463C2×D3semidirect
616. #463C2×D3semidirect
638. #446C2×D3semidirect
650. #442C2×D3semidirect
652. #440C2×D3semidirect
664. C4×D8C2×D3semidirect
728. D3×D4#41semidirect
1729. C3#61339semidirect

Maximal subgroups

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

subgroupindex
#870512
#869492
C3×#33702
#837142
#836382
#817152
#817082
#816802
#816742
#816382
#816332
#812292
#812172
#811682
#811522
#809922
#809672
#805362
#805212
#805172
D3×#4592
#803212
#799692
#799612
#798672
#798512
#797732
#797532
#795882
#795672
#613393