Finite Group Databasebeta

← #11675371

Subgroups — #11675371

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#86949C211yesmaximal, characteristic, complemented
2#86771C211yesmaximal, characteristic, complemented
3C3×#3366C211yesmaximal, characteristic, complemented
4#83639C211yesmaximal, characteristic, complemented
5#83581C211yesmaximal, characteristic, complemented
6#81715C211yesmaximal, characteristic, complemented
7#81714C211yesmaximal, characteristic, complemented
8#81710C211yesmaximal, characteristic, complemented
9#81708C211yesmaximal, characteristic, complemented
10#81584C211yesmaximal, characteristic, complemented
11#81563C211yesmaximal, characteristic, complemented
12#81169C211yesmaximal, characteristic, complemented
13#81165C211yesmaximal, characteristic, complemented
14#81152C211yesmaximal, characteristic, complemented
15#81150C211yesmaximal, characteristic, complemented
16#81062C211yesmaximal, characteristic, complemented
17#81052C211yesmaximal, characteristic, complemented
18#80334C211yesmaximal, characteristic, complemented
19#80334C211yesmaximal, characteristic, complemented
20D3×#459C211yesmaximal, characteristic, complemented
21#80322C211yesmaximal, characteristic, complemented
22#80321C211yesmaximal, characteristic, complemented
23#80318C211yesmaximal, characteristic, complemented
24#79971C211yesmaximal, characteristic, complemented
25#79961C211yesmaximal, characteristic, complemented
26#79867C211yesmaximal, characteristic, complemented
27#79865C211yesmaximal, characteristic, complemented
28#79853C211yesmaximal, characteristic, complemented
29#79851C211yesmaximal, characteristic, complemented
30#79588C211yesmaximal, characteristic, complemented
31#79569C211yesmaximal, characteristic, complemented
32#61339—31nomaximal, Sylow
33C3×#554C2211yescharacteristic, complemented
34C3×#550C2211yescharacteristic, complemented
35#5832—21no—
36#5829—21no—
37C2×#911C2211yescharacteristic
38C2×D3×D8C2211yescharacteristic
39C2×D3×D8C2211yescharacteristic
40#5729C2211yescharacteristic
41#5727C2211yescharacteristic, complemented
42#5718C2211yescharacteristic, complemented
43#5718C2211yescharacteristic, complemented
44#5715C2211yescharacteristic
45#5715C2211yescharacteristic
46D3×#127C2211yescharacteristic
47#5713C2211yescharacteristic, complemented
48#5690C2211yescharacteristic, complemented
49#5690C2211yescharacteristic, complemented
50#5689C2211yescharacteristic
51#5688C2211yescharacteristic
52#5636—21no—
53#5636—21no—
54#5634—21no—
55#5634—21no—
56#5632—21no—
57D3×C22⋊Q8—21no—
58#5615—21no—
59#5615—21no—
60#5612—21no—
61#5610—21no—
62#5610—21no—
63#5596—21no—
64#5585C2211yescharacteristic, complemented
65#5579C2211yescharacteristic, complemented
66#5578C2211yescharacteristic
67#5559C2211yescharacteristic, complemented
68#5559C2211yescharacteristic, complemented
69#5553C2211yescharacteristic, complemented
70#5545C2211yescharacteristic
71#5545C2211yescharacteristic
72#5545C2211yescharacteristic
73#5545C2211yescharacteristic
74C4×D3×D4C2211yescharacteristic
75#5539C2211yescharacteristic, complemented
76#5539C2211yescharacteristic, complemented
77D4×Dic6C2211yescharacteristic, complemented
78C4×#237C2211yescharacteristic
79#5511—21no—
80C2×#896—21no—
81C3×#490C2211yescharacteristic, complemented
82C3×#490C2211yescharacteristic, complemented
83C3×#486C2211yescharacteristic, complemented
84C3×#478C2211yescharacteristic, complemented
85C3×#478C2211yescharacteristic, complemented
86C3×#476C2211yescharacteristic, complemented
87C3×#459C2211yescharacteristic
88C3×#459C2211yescharacteristic, complemented
89C3×#459C2211yescharacteristic, complemented
90C3×#446C2211yescharacteristic, complemented
91C3×#442C2211yescharacteristic, complemented
92C3×#442C2211yescharacteristic, complemented
93C3×C4×D8C2211yescharacteristic, complemented
94#5153C2211yescharacteristic, complemented
95#5153C2211yescharacteristic, complemented
96#5152C2211yescharacteristic, complemented
97#5150C2211yescharacteristic
98#5150C2211yescharacteristic
99#5150C2211yescharacteristic, complemented
100#5150C2211yescharacteristic, complemented
101Dic3×D8C2211yescharacteristic, complemented
102Dic3×D8C2211yescharacteristic, complemented
103#5089C2211yescharacteristic, complemented
104#5087C2211yescharacteristic, complemented
105#5072C2211yescharacteristic
106#5072C2211yescharacteristic, complemented
107#5072C2211yescharacteristic, complemented
108#5071C2211yescharacteristic, complemented
109#5071C2211yescharacteristic, complemented
110#5070C2211yescharacteristic, complemented
111#5068C2211yescharacteristic, complemented
112#5067C2211yescharacteristic, complemented
113#5066C2211yescharacteristic, complemented
114#5063C2211yescharacteristic, complemented
115#5024C2211yescharacteristic, complemented
116#5018C2211yescharacteristic, complemented
117#5016C2211yescharacteristic, complemented
118#5016C2211yescharacteristic, complemented
119#5015C2211yescharacteristic
120#5014C2211yescharacteristic, complemented
121#5014C2211yescharacteristic, complemented
122#5014C2211yescharacteristic, complemented
123C4×#213C2211yescharacteristic, complemented
124C4×#213C2211yescharacteristic, complemented
125#5009C2211yescharacteristic, complemented
126#5009C2211yescharacteristic, complemented
127#5008C2211yescharacteristic, complemented
128#4891C2211yescharacteristic, complemented
129#4880C2211yescharacteristic
130#4875C2211yescharacteristic, complemented
131#4872C2211yescharacteristic, complemented
132#4871C2211yescharacteristic, complemented
133#4870C2211yescharacteristic, complemented
134#4870C2211yescharacteristic, complemented
135#4869C2211yescharacteristic, complemented
136#4861C2211yescharacteristic
137#4860C2211yescharacteristic
138#4854C2211yescharacteristic, complemented
139#4852C2211yescharacteristic, complemented
140#4847C2211yescharacteristic, complemented
141#4846C2211yescharacteristic, complemented
142#4844C2211yescharacteristic, complemented
143#4844C2211yescharacteristic, complemented
144#4843C2211yescharacteristic
145#4839C2211yescharacteristic
146#4839C2211yescharacteristic
147D3×C4⋊C8C2211yescharacteristic
148#4830C2211yescharacteristic, complemented
149#4829C2211yescharacteristic, complemented
150#4828C2211yescharacteristic, complemented
151#4828C2211yescharacteristic, complemented
152#4787C2211yescharacteristic, complemented
153#4787C2211yescharacteristic, complemented
154#4786C2211yescharacteristic
155#4786C2211yescharacteristic
156#4786C2211yescharacteristic, complemented
157#4786C2211yescharacteristic, complemented
158#4785C2211yescharacteristic, complemented
159#4785C2211yescharacteristic, complemented
160#4772C2211yescharacteristic
161#4772C2211yescharacteristic
162#4771C2211yescharacteristic
163#4770C2211yescharacteristic
164#4770C2211yescharacteristic
165#4770C2211yescharacteristic
166#4770C2211yescharacteristic
167#4770C2211yescharacteristic
168D3×#102C2211yescharacteristic
169D3×#102C2211yescharacteristic
170#4768C2211yescharacteristic, complemented
171#4768C2211yescharacteristic, complemented
172#4766C2211yescharacteristic, complemented
173#4765C2211yescharacteristic, complemented
174#4765C2211yescharacteristic, complemented
175#4764C2211yescharacteristic, complemented
176#4764C2211yescharacteristic, complemented
177#4763C2211yescharacteristic, complemented
178#4761C2211yescharacteristic, complemented
179#4760C2211yescharacteristic, complemented
180#4760C2211yescharacteristic, complemented
181#4760C2211yescharacteristic, complemented
182#4760C2211yescharacteristic, complemented
183#4760C2211yescharacteristic, complemented
184#4760C2211yescharacteristic, complemented
185#4759C2211yescharacteristic, complemented
186#4759C2211yescharacteristic, complemented
187#4759C2211yescharacteristic, complemented
188#4758C2211yescharacteristic, complemented
189#4756C2211yescharacteristic, complemented
190#4756C2211yescharacteristic, complemented
191#4756C2211yescharacteristic, complemented
192#4714C2211yescharacteristic, complemented
193#4713C2211yescharacteristic, complemented
194#4711C2211yescharacteristic, complemented
195#4710C2211yescharacteristic, complemented
196#4708C2211yescharacteristic
197#4707C2211yescharacteristic
198#4701C2211yescharacteristic, complemented
199#4701C2211yescharacteristic, complemented
200#4697C2211yescharacteristic, 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#3370—31no—
212#3366—31no—
213#3366—31no—
214#3366—31no—
215#3366—31no—
216#3366—31no—
217#3366D311yescharacteristic, complemented
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×C3×#41—21no—
236C2×D3×Q8—21no—
237C2×#237—21no—
238C2×#237—21no—
239C2×#237C2311yescharacteristic
240C2×D3×D4—21no—
241C2×D3×D4—21no—
242C2×D3×D4C2311yescharacteristic
243C2×D3×D4C2311yescharacteristic
244C2×D3×D4C2311yescharacteristic
245C2×#235—21no—
246C22×C4×D3—21no—
247C22×Dic6—21no—
248C2×C3×D8C2311yescharacteristic
249C2×C3×D8C2311yescharacteristic
250C2×C3×D8C2311yescharacteristic
251C3×C4⋊Q8C2311yescharacteristic
252C3×#127C2311yescharacteristic
253C3×#127C2311yescharacteristic
254C3×#127C2311yescharacteristic
255C3×#125C2311yescharacteristic
256C3×#125C2311yescharacteristic
257C3×C22⋊Q8—21no—
258C3×C22⋊Q8—21no—
259C3×C22⋊Q8—21no—
260C3×#121—21no—
261C3×#121—21no—
262C3×#121—21no—
263C3×C4×Q8C2311yescharacteristic
264C3×C4×D4C2311yescharacteristic
265C3×C4×D4C2311yescharacteristic
266C3×C4×D4C2311yescharacteristic
267C3×C4×D4C2311yescharacteristic
268C3×C4×D4C2311yescharacteristic
269C3×C4×D4C2311yescharacteristic
270C2×C3×C4⋊C4—21no—
271#947—21no—
272#946—21no—
273#946—21no—
274#946—21no—
275#946D411yescharacteristic
276#944—21no—
277#944D411yescharacteristic
278#940—21no—
279#940—21no—
280#940C2311yescharacteristic
281#940C2311yescharacteristic
282#940C2311yescharacteristic
283#940C2311yescharacteristic
284#939—21no—
285#939—21no—
286#939—21no—
287#939—21no—
288#939—21no—
289#939—21no—
290#939—21no—
291#939—21no—
292#938—21no—
293#938—21no—
294#937—21no—
295#937—21no—
296#937—21no—
297#937—21no—
298#936—21no—
299#936C2311yescharacteristic
300#936C2311yescharacteristic
301#935—21no—
302#935—21no—
303D4×Dic3—21no—
304D4×Dic3C2311yescharacteristic
305D4×Dic3C2311yescharacteristic
306D4×Dic3C2311yescharacteristic
307D4×Dic3C2311yescharacteristic
308D4×Dic3C2311yescharacteristic
309D4×Dic3C2311yescharacteristic
310C2×#214C2311yescharacteristic
311C2×#213C2311yescharacteristic
312C2×#213C2311yescharacteristic
313C2×#213C2311yescharacteristic
314C2×#213C2311yescharacteristic
315C2×#213C2311yescharacteristic
316#930—21no—
317#929—21no—
318#929—21no—
319C4×#67—21no—
320C4×#67—21no—
321C4×#67—21no—
322C4×#67—21no—
323C4×#67—21no—
324C4×#67—21no—
325C4×#67—21no—
326C4×#67—21no—
327C2×(C2×D3)⋊C4—21no—
328C2×(C2×D3)⋊C4—21no—
329C2×(C2×D3)⋊C4—21no—
330C2×(C2×D3)⋊C4—21no—
331#924—21no—
332#924—21no—
333#924—21no—
334C2×Dic3⋊C4—21no—
335C2×Dic3⋊C4—21no—
336C2×C4×Dic3—21no—
337#911—24no—
338D3×D8—24no—
339D3×D8—24no—
340C2×D24C2311yescharacteristic
341C2×D24C2311yescharacteristic
342C2×#204C2311yescharacteristic
343C2×ΓL(1,𝔽25)C2311yescharacteristic
344C2×ΓL(1,𝔽25)C2311yescharacteristic
345C2×D3×C8C2311yescharacteristic
346C2×D3×C8C2311yescharacteristic
347#897—21no—
348#897—21no—
349#897—21no—
350#897D411yescharacteristic
351#896—21no—
352#896—21no—
353#896—21no—
354#896—21no—
355#896—21no—
356#896—21no—
357#896—21no—
358#896—21no—
359#896—21no—
360#896—21no—
361#896—21no—
362#896—21no—
363#896D411yescharacteristic
364#896D411yescharacteristic
365#894—21no—
366#894—21no—
367#893—21no—
368#893C2311yescharacteristic
369#893C2311yescharacteristic
370#893C2311yescharacteristic
371#893C2311yescharacteristic
372#893C2311yescharacteristic
373#892C2311yescharacteristic
374#892C2311yescharacteristic
375#892C2311yescharacteristic
376D3×C4⋊C4—21no—
377D3×C4⋊C4—21no—
378D3×C4⋊C4—21no—
379D3×C4⋊C4C2311yescharacteristic
380#890C2311yescharacteristic
381#890C2311yescharacteristic
382#889—21no—
383#889—21no—
384#889D411yescharacteristic
385#889D411yescharacteristic
386#888—21no—
387#888D411yescharacteristic
388#888C2311yescharacteristic
389#888C2311yescharacteristic
390#888C2311yescharacteristic
391#888C2311yescharacteristic
392#887—21no—
393#887—21no—
394#887C2311yescharacteristic
395#885—21no—
396#885—21no—
397#884—21no—
398#884—21no—
399#883—21no—
400#883—21no—
401#67⋊C4—21no—
402#67⋊C4—21no—
403#67⋊C4—21no—
404#67⋊C4—21no—
405#67⋊C4—21no—
406#67⋊C4—21no—
407D3×C22⋊C4—21no—
408D3×C22⋊C4—21no—
409D3×C22⋊C4—21no—
410D3×C22⋊C4—21no—
411D3×C22⋊C4—21no—
412#878—21no—
413#878—21no—
414#878—21no—
415#878—21no—
416#878—21no—
417#878—21no—
418#877—21no—
419#875C2311yescharacteristic
420#875C2311yescharacteristic
421#874C2311yescharacteristic
422C4×D12C2311yescharacteristic
423C4×D12C2311yescharacteristic
424C4×D12C2311yescharacteristic
425C4×D12C2311yescharacteristic
426C4×D12C2311yescharacteristic
427#872C2311yescharacteristic
428#872C2311yescharacteristic
429C42×D3C2311yescharacteristic
430#870C2311yescharacteristic
431#870C2311yescharacteristic
432#869C2311yescharacteristic
433C4×Dic6C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C4×Dic6C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#102C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#102C2311yescharacteristic
446C3×#102C2311yescharacteristic
447C3×#102C2311yescharacteristic
448C3×#102C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#102C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×#97C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#832C2311yescharacteristic
457#832C2311yescharacteristic
458#832C2311yescharacteristic
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#818C2311yescharacteristic
474#818C2311yescharacteristic
475#817C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
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#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
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#559—31no—
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#550C2×D311yescharacteristic, complemented
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#490C2×D311yescharacteristic, complemented
568#490C2×D311yescharacteristic, complemented
569#489—31no—
570#489—31no—
571#489—31no—
572#489—31no—
573#488—31no—
574#488—31no—
575#488—31no—
576#488—31no—
577#486—31no—
578#486—31no—
579#486—31no—
580#486—31no—
581#486—31no—
582#486—31no—
583#486—31no—
584#486C2×D311yescharacteristic, complemented
585#479—31no—
586#479—31no—
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#478C2×D311yescharacteristic, complemented
596#478C2×D311yescharacteristic, complemented
597#477—31no—
598#476—31no—
599#476—31no—
600#476—31no—
601#476—31no—
602#476C2×D311yescharacteristic, complemented
603#475—31no—
604#474—31no—
605#474—31no—
606#474—31no—
607#474—31no—
608#474—31no—
609#463—31no—
610#463—31no—
611#463—31no—
612#463—31no—
613#463—31no—
614#463—31no—
615#463—31no—
616#463—31no—
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#459C2×D311yescharacteristic
631#459C2×D311yescharacteristic, complemented
632#459C2×D311yescharacteristic, complemented
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#442C2×D311yescharacteristic, complemented
650#442C2×D311yescharacteristic, complemented
651#440—31no—
652#440—31no—
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—
687C3×#41—82no—
688C2×C3×Q8—21no—
689C2×C3×Q8C2×D411yescharacteristic
690C2×C3×D4—21no—
691C2×C3×D4—21no—
692C2×C3×D4—21no—
693C2×C3×D4—21no—
694C2×C3×D4—21no—
695C2×C3×D4—21no—
696C2×C3×D4C2411yescharacteristic
697C2×C3×D4C2411yescharacteristic
698C2×C3×D4C2411yescharacteristic
699C2×C3×D4C2411yescharacteristic
700C22×C3×C4—21no—
701C22×C3×C4—21no—
702C22×C3×C4—21no—
703C22×C3×C4—21no—
704C22×C3×C4—21no—
705C22×C3×C4—21no—
706C2×#67—21no—
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×#67—21no—
717C2×#67—21no—
718C22×Dic3—21no—
719C22×Dic3—21no—
720C22×Dic3—21no—
721C22×Dic3—21no—
722C22×Dic3—21no—
723C22×Dic3—21no—
724C22×Dic3—21no—
725D3×Q8—82no—
726#237—22no—
727#237—22no—
728#237—82no—
729#237—82no—
730D3×D4—22no—
731D3×D4—22no—
732D3×D4—22no—
733D3×D4—22no—
734D3×D4—22no—
735D3×D4—82no—
736D3×D4—82no—
737D3×D4#4114yescomplemented
738#235—82no—
739C2×D12—21no—
740C2×D12—21no—
741C2×D12C2411yescharacteristic
742C2×D12C2411yescharacteristic
743C2×D12C2411yescharacteristic
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—82no—
756C2×C4×D3C2×D411yescharacteristic
757C2×C4×D3C2×D411yescharacteristic
758C2×C4×D3C2411yescharacteristic
759C2×Dic6—21no—
760C2×Dic6—21no—
761C2×Dic6—21no—
762C2×Dic6—21no—
763C2×Dic6—21no—
764C2×Dic6—82no—
765C2×Dic6C2×D411yescharacteristic
766C2×Dic6C2×D411yescharacteristic
767C2×Dic6C2×D411yescharacteristic
768C2×Dic6C2411yescharacteristic
769C3×D8—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⋊C4C2×D411yescharacteristic
782C3×C4⋊C4C2×D411yescharacteristic
783C3×C4⋊C4C2×D411yescharacteristic
784C3×C4⋊C4C2411yescharacteristic
785C3×C4⋊C4C2411yescharacteristic
786C3×C4⋊C4C2411yescharacteristic
787C3×C4⋊C4C2411yescharacteristic
788C3×C22⋊C4—21no—
789C3×C22⋊C4—21no—
790C3×C22⋊C4—21no—
791C3×C22⋊C4—21no—
792C3×C22⋊C4—21no—
793C3×C22⋊C4—21no—
794C3×C42C2411yescharacteristic
795C3×C42C2411yescharacteristic
796C3×C42C2411yescharacteristic
797#217—21no—
798#217—21no—
799#217—21no—
800#217—21no—
801#217—21no—
802#217—21no—
803#217—21no—
804#217—21no—
805#217—21no—
806#217—21no—
807#214—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)⋊C4C2×D411yescharacteristic
831(C2×D3)⋊C4C2×D411yescharacteristic
832(C2×D3)⋊C4C2×D411yescharacteristic
833(C2×D3)⋊C4C2×D411yescharacteristic
834C4⋊Dic3—21no—
835C4⋊Dic3—21no—
836C4⋊Dic3—21no—
837C4⋊Dic3C2×D411yescharacteristic
838C4⋊Dic3C2×D411yescharacteristic
839C4⋊Dic3C2×D411yescharacteristic
840C4⋊Dic3C2411yescharacteristic
841C4⋊Dic3C2411yescharacteristic
842C4⋊Dic3C2411yescharacteristic
843C4⋊Dic3C2411yescharacteristic
844Dic3⋊C4—21no—
845Dic3⋊C4—21no—
846Dic3⋊C4—21no—
847Dic3⋊C4—21no—
848Dic3⋊C4—21no—
849Dic3⋊C4—21no—
850Dic3⋊C4—21no—
851Dic3⋊C4—21no—
852Dic3⋊C4—21no—
853Dic3⋊C4—21no—
854Dic3⋊C4—21no—
855Dic3⋊C4—21no—
856Dic3⋊C4—21no—
857Dic3⋊C4C2×D411yescharacteristic
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
867C4×Dic3—21no—
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—
883#204—22no—
884ΓL(1,𝔽25)—22no—
885ΓL(1,𝔽25)—22no—
886D3×C8—22no—
887D3×C8—22no—
888C2×#41—21no—
889C2×#41—31no—
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×SD16—31no—
904C2×D8—31no—
905C2×D8—31no—
906C2×D8—31no—
907C2×D8—31no—
908C2×D8—31no—
909C2×D8—31no—
910C2×D8—31no—
911C2×D8—64no—
912C2×D8—64no—
913C2×D8C22×D311yescharacteristic
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—61no—
936#127—61no—
937#127C22×D311yescharacteristic
938#127C22×D311yescharacteristic
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—31no—
951#124—31no—
952#124—31no—
953#124—31no—
954#124—61no—
955#124—61no—
956#124—61no—
957#124—61no—
958#123—61no—
959#123—61no—
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—21no—
1001#121—21no—
1002#121—21no—
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—31no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8C22×D311yescharacteristic
1028C4×D4—31no—
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—61no—
1045C4×D4—61no—
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×D4C22×D311yescharacteristic
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#107—31no—
1095#107C22×D311yescharacteristic
1096#106—31no—
1097#106—31no—
1098#106—31no—
1099#106—31no—
1100#106C22×D311yescharacteristic
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#103—31no—
1118#103—31no—
1119#103—31no—
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#102C22×D311yescharacteristic
1145#102C22×D311yescharacteristic
1146#102C22×D311yescharacteristic
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—
1169C23×C3—21no—
1170C22×D3—21no—
1171C22×D3—24no—
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—41no—
1184C3×Q8—81no—
1185C3×D4—21no—
1186C3×D4—21no—
1187C3×D4—21no—
1188C3×D4—21no—
1189C3×D4—21no—
1190C3×D4—21no—
1191C3×D4—21no—
1192C3×D4—42no—
1193C3×D4—81no—
1194C3×D4—81no—
1195C3×D4—81no—
1196C3×D4—81no—
1197C3×D4—81no—
1198C3×D4C2×#4112yes—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—42no—
1204C2×C3×C4—81no—
1205C2×C3×C4—81no—
1206C2×C3×C4—81no—
1207C2×C3×C4—81no—
1208C2×C3×C4—81no—
1209C2×C3×C4C22×D411yescharacteristic
1210C2×C3×C4C22×D411yescharacteristic
1211C2×C3×C4C22×D411yescharacteristic
1212C2×C3×C4C22×D411yescharacteristic
1213C2×C3×C4C22×D411yescharacteristic
1214C2×C3×C4C22×D411yescharacteristic
1215C2×C3×C4C2511yescharacteristic
1216#67—24no—
1217#67—42no—
1218#67—42no—
1219#67—42no—
1220#67—42no—
1221#67—42no—
1222#67—81no—
1223#67—81no—
1224#67—81no—
1225#67—81no—
1226#67—81no—
1227#67—81no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—42no—
1234C2×Dic3—42no—
1235C2×Dic3—42no—
1236C2×Dic3—81no—
1237C2×Dic3—81no—
1238C2×Dic3—81no—
1239C2×Dic3—81no—
1240C2×Dic3C22×D411yescharacteristic
1241C2×Dic3C22×D411yescharacteristic
1242C2×Dic3C22×D411yescharacteristic
1243C2×Dic3C22×D411yescharacteristic
1244C2×Dic3C22×D411yescharacteristic
1245C2×Dic3C22×D411yescharacteristic
1246C2×Dic3C22×D411yescharacteristic
1247D12—21no—
1248D12—21no—
1249D12—21no—
1250D12—21no—
1251D12—21no—
1252D12—42no—
1253D12—81no—
1254D12C2×#4112yes—
1255C4×D3—22no—
1256C4×D3—41no—
1257C4×D3—42no—
1258C4×D3—81no—
1259C4×D3—81no—
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×D3C2×#4112yes—
1269C4×D32−1+412yes—
1270Dic6—22no—
1271Dic6—22no—
1272Dic6—21no—
1273Dic6—21no—
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—82no—
1294#41—242no—
1295#41—242no—
1296#41—242no—
1297C2×Q8—21no—
1298C2×Q8—31no—
1299C2×Q8—31no—
1300C2×Q8—31no—
1301C2×Q8—31no—
1302C2×Q8—61no—
1303C2×Q8—61no—
1304C2×Q8—61no—
1305C2×Q8—61no—
1306C2×Q8—61no—
1307C2×Q8—242no—
1308C2×Q8—242no—
1309C2×Q8D3×D411yescharacteristic
1310C2×D4—21no—
1311C2×D4—21no—
1312C2×D4—21no—
1313C2×D4—21no—
1314C2×D4—21no—
1315C2×D4—21no—
1316C2×D4—34no—
1317C2×D4—31no—
1318C2×D4—31no—
1319C2×D4—31no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
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—242no—
1340C2×D4—242no—
1341C2×D4C23×D311yescharacteristic
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—21no—
1351C22×C4—31no—
1352C22×C4—31no—
1353C22×C4—31no—
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—62no—
1374SD16—62no—
1375D8—22no—
1376D8—22no—
1377D8—22no—
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—31no—
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—61no—
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—31no—
1449C22⋊C4—31no—
1450C22⋊C4—31no—
1451C22⋊C4—31no—
1452C22⋊C4—61no—
1453C22⋊C4—61no—
1454C22⋊C4—61no—
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—31no—
1480C42—31no—
1481C42—31no—
1482C42—31no—
1483C42—31no—
1484C42—61no—
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×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3C23×D411yescharacteristic
1505C2×D3—21no—
1506C2×D3—21no—
1507C2×D3—22no—
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×C4C22×#4111yescharacteristic
1531C3×C4C2×2−1+411yescharacteristic
1532Dic3—21no—
1533Dic3—21no—
1534Dic3—21no—
1535Dic3—21no—
1536Dic3—21no—
1537Dic3—41no—
1538Dic3—41no—
1539Dic3—41no—
1540Dic3—41no—
1541Dic3—41no—
1542Dic3#54812yes—
1543Dic3#57612yes—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—31no—
1549C23—64no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—122no—
1554C23—122no—
1555C23—241no—
1556C23—241no—
1557C23—241no—
1558C23—241no—
1559C23—241no—
1560C23—241no—
1561Q8—41no—
1562Q8—62no—
1563Q8—62no—
1564Q8—61no—
1565Q8—61no—
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—21no—
1579D4—21no—
1580D4—32no—
1581D4—42no—
1582D4—64no—
1583D4—61no—
1584D4—61no—
1585D4—61no—
1586D4—61no—
1587D4—61no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—122no—
1594D4—122no—
1595D4—122no—
1596D4—122no—
1597D4—122no—
1598D4—122no—
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—31no—
1612C2×C4—31no—
1613C2×C4—32no—
1614C2×C4—32no—
1615C2×C4—31no—
1616C2×C4—31no—
1617C2×C4—31no—
1618C2×C4—31no—
1619C2×C4—31no—
1620C2×C4—42no—
1621C2×C4—62no—
1622C2×C4—61no—
1623C2×C4—61no—
1624C2×C4—61no—
1625C2×C4—61no—
1626C2×C4—61no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—121no—
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×C3—81no—
1670C2×C3C2×#54811yescharacteristic
1671C2×C3C2×#57611yescharacteristic
1672C2×C3#358511yescharacteristic
1673D3—22no—
1674D3—42no—
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—41no—
1688C22—41no—
1689C22—41no—
1690C22—61no—
1691C22—61no—
1692C22—62no—
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—61no—
1718C4—61no—
1719C4—61no—
1720C4—61no—
1721C4—61no—
1722C4—121no—
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—81no—
1735C2—122no—
1736C2—241no—
1737C2—241no—
1738C2D3×#54811yescharacteristic
1739C2#8719211yescharacteristic
1740C2D3×#57611yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3366C2
socleC22×C3C23×D4
hypercenter#3366D3
hypocenterC3#61339
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3366

Complements

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

NH ≅ G/Ntype
1. #86949C2semidirect
2. #86771C2semidirect
3. C3×#3366C2semidirect
4. #83639C2semidirect
5. #83581C2semidirect
6. #81715C2semidirect
7. #81714C2semidirect
8. #81710C2semidirect
9. #81708C2semidirect
10. #81584C2semidirect
11. #81563C2semidirect
12. #81169C2semidirect
13. #81165C2semidirect
14. #81152C2semidirect
15. #81150C2semidirect
16. #81062C2semidirect
17. #81052C2semidirect
18. #80334C2semidirect
19. #80334C2semidirect
20. D3×#459C2semidirect
21. #80322C2semidirect
22. #80321C2semidirect
23. #80318C2semidirect
24. #79971C2semidirect
25. #79961C2semidirect
26. #79867C2semidirect
27. #79865C2semidirect
28. #79853C2semidirect
29. #79851C2semidirect
30. #79588C2semidirect
31. #79569C2semidirect
33. C3×#554C22semidirect
34. C3×#550C22semidirect
41. #5727C22semidirect
42. #5718C22semidirect
43. #5718C22semidirect
47. #5713C22semidirect
48. #5690C22semidirect
49. #5690C22semidirect
64. #5585C22semidirect
65. #5579C22semidirect
67. #5559C22semidirect
68. #5559C22semidirect
69. #5553C22semidirect
75. #5539C22semidirect
76. #5539C22semidirect
77. D4×Dic6C22semidirect
81. C3×#490C22semidirect
82. C3×#490C22semidirect
83. C3×#486C22semidirect
84. C3×#478C22semidirect
85. C3×#478C22semidirect
86. C3×#476C22semidirect
88. C3×#459C22semidirect
89. C3×#459C22semidirect
90. C3×#446C22semidirect
91. C3×#442C22semidirect
92. C3×#442C22semidirect
93. C3×C4×D8C22semidirect
94. #5153C22semidirect
95. #5153C22semidirect
96. #5152C22semidirect
99. #5150C22semidirect
100. #5150C22semidirect
101. Dic3×D8C22semidirect
102. Dic3×D8C22semidirect
103. #5089C22semidirect
104. #5087C22semidirect
106. #5072C22semidirect
107. #5072C22semidirect
108. #5071C22semidirect
109. #5071C22semidirect
110. #5070C22semidirect
111. #5068C22semidirect
112. #5067C22semidirect
113. #5066C22semidirect
114. #5063C22semidirect
115. #5024C22semidirect
116. #5018C22semidirect
117. #5016C22semidirect
118. #5016C22semidirect
120. #5014C22semidirect
121. #5014C22semidirect
122. #5014C22semidirect
123. C4×#213C22semidirect
124. C4×#213C22semidirect
125. #5009C22semidirect
126. #5009C22semidirect
127. #5008C22semidirect
128. #4891C22semidirect
130. #4875C22semidirect
131. #4872C22semidirect
132. #4871C22semidirect
133. #4870C22semidirect
134. #4870C22semidirect
135. #4869C22semidirect
138. #4854C22semidirect
139. #4852C22semidirect
140. #4847C22semidirect
141. #4846C22semidirect
142. #4844C22semidirect
143. #4844C22semidirect
148. #4830C22semidirect
149. #4829C22semidirect
150. #4828C22semidirect
151. #4828C22semidirect
152. #4787C22semidirect
153. #4787C22semidirect
156. #4786C22semidirect
157. #4786C22semidirect
158. #4785C22semidirect
159. #4785C22semidirect
170. #4768C22semidirect
171. #4768C22semidirect
172. #4766C22semidirect
173. #4765C22semidirect
174. #4765C22semidirect
175. #4764C22semidirect
176. #4764C22semidirect
177. #4763C22semidirect
178. #4761C22semidirect
179. #4760C22semidirect
180. #4760C22semidirect
181. #4760C22semidirect
182. #4760C22semidirect
183. #4760C22semidirect
184. #4760C22semidirect
185. #4759C22semidirect
186. #4759C22semidirect
187. #4759C22semidirect
188. #4758C22semidirect
189. #4756C22semidirect
190. #4756C22semidirect
191. #4756C22semidirect
192. #4714C22semidirect
193. #4713C22semidirect
194. #4711C22semidirect
195. #4710C22semidirect
198. #4701C22semidirect
199. #4701C22semidirect
200. #4697C22semidirect
201. C4×D24C22semidirect
203. C8×Dic6C22semidirect
217. #3366D3semidirect
528. #554C2×D3semidirect
532. #550C2×D3semidirect
567. #490C2×D3semidirect
568. #490C2×D3semidirect
584. #486C2×D3semidirect
595. #478C2×D3semidirect
596. #478C2×D3semidirect
602. #476C2×D3semidirect
631. #459C2×D3semidirect
632. #459C2×D3semidirect
638. #446C2×D3semidirect
649. #442C2×D3semidirect
650. #442C2×D3semidirect
664. C4×D8C2×D3semidirect
737. 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
#869492
#867712
C3×#33662
#836392
#835812
#817152
#817142
#817102
#817082
#815842
#815632
#811692
#811652
#811522
#811502
#810622
#810522
#803342
D3×#4592
#803222
#803212
#803182
#799712
#799612
#798672
#798652
#798532
#798512
#795882
#795692
#613393