Finite Group Databasebeta

← #11676007

Subgroups — #11676007

Order 768.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#87032C211yesmaximal, characteristic, complemented
2#86926C211yesmaximal, characteristic
3C3×#3388C211yesmaximal, characteristic, complemented
4#83683C211yesmaximal, characteristic, complemented
5#83632C211yesmaximal, characteristic, complemented
6#81976C211yesmaximal, characteristic, complemented
7#81974C211yesmaximal, characteristic, complemented
8#81967C211yesmaximal, characteristic, complemented
9#81967C211yesmaximal, characteristic, complemented
10#81917C211yesmaximal, characteristic, complemented
11#81914C211yesmaximal, characteristic, complemented
12#81233C211yesmaximal, characteristic, complemented
13#81232C211yesmaximal, characteristic, complemented
14#81224C211yesmaximal, characteristic, complemented
15#81222C211yesmaximal, characteristic, complemented
16#81171C211yesmaximal, characteristic
17#81165C211yesmaximal, characteristic
18#81161C211yesmaximal, characteristic, complemented
19#81159C211yesmaximal, characteristic, complemented
20#81063C211yesmaximal, characteristic
21#81053C211yesmaximal, characteristic, complemented
22D3×#475C211yesmaximal, characteristic, complemented
23#81007C211yesmaximal, characteristic, complemented
24#79986C211yesmaximal, characteristic, complemented
25#79961C211yesmaximal, characteristic, complemented
26#79776C211yesmaximal, characteristic
27#79774C211yesmaximal, characteristic
28#79762C211yesmaximal, characteristic, complemented
29#79760C211yesmaximal, characteristic, complemented
30#79648C211yesmaximal, characteristic
31SD16×Dic6C211yesmaximal, characteristic, complemented
32#61383—31nomaximal, Sylow
33C3×#557C2211yescharacteristic
34C3×#554C2211yescharacteristic
35C2×#915C2211yescharacteristic
36#5729—21no—
37#5729C2211yescharacteristic
38D3×C4⋊Q8C2211yescharacteristic
39#5722—21no—
40#5722C2211yescharacteristic
41#5722C2211yescharacteristic
42#5689—21no—
43#5689C2211yescharacteristic
44#5689C2211yescharacteristic
45#5689C2211yescharacteristic
46#5688—21no—
47#5688C2211yescharacteristic
48#5685—21no—
49#5685—21no—
50#5685C2211yescharacteristic
51#5685C2211yescharacteristic
52#5685C2211yescharacteristic
53#5685C2211yescharacteristic
54#5635—21no—
55#5632—21no—
56#5632—21no—
57#5623—21no—
58#5623—21no—
59#5622—21no—
60#5578—21no—
61#5578C2211yescharacteristic
62#5572C2211yescharacteristic
63#5572C2211yescharacteristic
64C4×D3×Q8C2211yescharacteristic
65#5569C2211yescharacteristic
66#5569C2211yescharacteristic
67#5567—21no—
68#5567C2211yescharacteristic
69Q8×Dic6C2211yescharacteristic
70Q8×Dic6C2211yescharacteristic
71#5546C2211yescharacteristic
72#5546C2211yescharacteristic
73#5543C2211yescharacteristic
74D4×Dic6C2211yescharacteristic
75D4×Dic6C2211yescharacteristic
76C4×#237C2211yescharacteristic
77#5511—21no—
78C2×#888—21no—
79C3×#501C2211yescharacteristic
80C3×#501C2211yescharacteristic
81C3×#499C2211yescharacteristic
82C3×#479C2211yescharacteristic
83C3×#479C2211yescharacteristic
84C3×#478C2211yescharacteristic
85C3×#478C2211yescharacteristic
86C3×#476C2211yescharacteristic
87C3×#475C2211yescharacteristic
88C3×#446C2211yescharacteristic
89C3×#440C2211yescharacteristic
90C3×#440C2211yescharacteristic
91C3×C4×SD16C2211yescharacteristic
92#5164C2211yescharacteristic
93Dic3×SD16C2211yescharacteristic
94Dic3×SD16C2211yescharacteristic
95#5094C2211yescharacteristic
96#5094C2211yescharacteristic
97#5081C2211yescharacteristic
98#5080C2211yescharacteristic
99#5065C2211yescharacteristic
100#5064C2211yescharacteristic
101#5064C2211yescharacteristic
102#5064C2211yescharacteristic
103#5063C2211yescharacteristic
104#5063C2211yescharacteristic
105#5063C2211yescharacteristic
106#5063C2211yescharacteristic
107#5030C2211yescharacteristic
108#5030C2211yescharacteristic
109C4×#216C2211yescharacteristic
110#5024C2211yescharacteristic
111#5021C2211yescharacteristic
112#5020C2211yescharacteristic
113#5020C2211yescharacteristic
114#5018C2211yescharacteristic
115#5018C2211yescharacteristic
116C4×#214C2211yescharacteristic
117#5009C2211yescharacteristic
118#5009C2211yescharacteristic
119#5008C2211yescharacteristic
120#4881C2211yescharacteristic
121#4881C2211yescharacteristic
122#4881C2211yescharacteristic
123#4880C2211yescharacteristic
124#4878C2211yescharacteristic
125#4877C2211yescharacteristic
126#4877C2211yescharacteristic
127#4876C2211yescharacteristic
128#4876C2211yescharacteristic
129#4876C2211yescharacteristic
130#4875C2211yescharacteristic
131#4875C2211yescharacteristic
132#4874C2211yescharacteristic
133#4874C2211yescharacteristic
134#4873C2211yescharacteristic
135#4873C2211yescharacteristic
136#4861C2211yescharacteristic
137#4861C2211yescharacteristic
138#4860C2211yescharacteristic
139D3×#106C2211yescharacteristic
140D3×#106C2211yescharacteristic
141#4858C2211yescharacteristic
142#4857C2211yescharacteristic
143#4857C2211yescharacteristic
144#4856C2211yescharacteristic
145#4855C2211yescharacteristic
146#4855C2211yescharacteristic
147#4855C2211yescharacteristic
148#4855C2211yescharacteristic
149#4854C2211yescharacteristic
150#4854C2211yescharacteristic
151#4854C2211yescharacteristic
152#4854C2211yescharacteristic
153#4854C2211yescharacteristic
154#4854C2211yescharacteristic
155#4853C2211yescharacteristic
156#4851C2211yescharacteristic
157#4851C2211yescharacteristic
158#4851C2211yescharacteristic
159#4850C2211yescharacteristic
160#4839C2211yescharacteristic
161#4839C2211yescharacteristic
162D3×C4⋊C8C2211yescharacteristic
163#4830C2211yescharacteristic
164#4829C2211yescharacteristic
165#4829C2211yescharacteristic
166#4828C2211yescharacteristic
167#4828C2211yescharacteristic
168#4802C2211yescharacteristic
169D3×#103C2211yescharacteristic
170D3×#103C2211yescharacteristic
171#4799C2211yescharacteristic
172#4796C2211yescharacteristic
173#4793C2211yescharacteristic
174#4791C2211yescharacteristic
175#4791C2211yescharacteristic
176#4791C2211yescharacteristic
177#4790C2211yescharacteristic
178#4790C2211yescharacteristic
179#4789C2211yescharacteristic
180#4772C2211yescharacteristic
181#4772C2211yescharacteristic
182#4771C2211yescharacteristic
183#4766C2211yescharacteristic
184#4763C2211yescharacteristic
185#4761C2211yescharacteristic
186#4761C2211yescharacteristic
187#4761C2211yescharacteristic
188#4759C2211yescharacteristic
189#4758C2211yescharacteristic
190#4758C2211yescharacteristic
191#4757C2211yescharacteristic
192#4716C2211yescharacteristic
193#4716C2211yescharacteristic
194#4708C2211yescharacteristic
195#4707C2211yescharacteristic
196#4702C2211yescharacteristic
197#4702C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201#4689C2211yescharacteristic
202#4680C2211yescharacteristic
203C8×Dic6C2211yescharacteristic
204#3503—31no—
205#3502—31no—
206#3388—31no—
207#3388—31no—
208#3388—31no—
209#3388D311yescharacteristic, complemented
210#3387—31no—
211#3387—31no—
212#3387—31no—
213#3387—31no—
214#3387—31no—
215#3387—31no—
216#3386—31no—
217#3386—31no—
218#3383—31no—
219#3383—31no—
220Q8×SD16—31no—
221Q8×SD16—31no—
222#3165—31no—
223#3163—31no—
224#3163—31no—
225#3084—31no—
226#3084—31no—
227#3082—31no—
228#3082—31no—
229#3076—31no—
230C2×#475—31no—
231#2962—31no—
232#2947—31no—
233#2947—31no—
234C4×#137—31no—
235C2×D3×Q8—21no—
236C2×D3×Q8C2311yescharacteristic
237C2×#237C2311yescharacteristic
238C22×Dic6—21no—
239C22×Dic6—21no—
240C2×C3×SD16C2311yescharacteristic
241C3×C4⋊Q8—21no—
242C3×C4⋊Q8C2311yescharacteristic
243C3×C4⋊Q8C2311yescharacteristic
244C3×#125—21no—
245C3×#125—21no—
246C3×#125C2311yescharacteristic
247C3×#125C2311yescharacteristic
248C3×#125C2311yescharacteristic
249C3×#125C2311yescharacteristic
250C3×C22⋊Q8—21no—
251C3×C22⋊Q8—21no—
252C3×C22⋊Q8—21no—
253C3×C4×Q8—21no—
254C3×C4×Q8C2311yescharacteristic
255C3×C4×Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×Q8C2311yescharacteristic
258C3×C4×D4C2311yescharacteristic
259C3×C4×D4C2311yescharacteristic
260C3×C4×D4C2311yescharacteristic
261C2×C3×C4⋊C4—21no—
262#946—21no—
263#946D411yescharacteristic
264Q8×Dic3—21no—
265Q8×Dic3C2311yescharacteristic
266Q8×Dic3C2311yescharacteristic
267Q8×Dic3C2311yescharacteristic
268#944—21no—
269#944—21no—
270#944—21no—
271#944—21no—
272#944—21no—
273#944—21no—
274#944—21no—
275#944D411yescharacteristic
276C2×#216C2311yescharacteristic
277D4×Dic3C2311yescharacteristic
278D4×Dic3C2311yescharacteristic
279D4×Dic3C2311yescharacteristic
280C2×#214C2311yescharacteristic
281C4×#67—21no—
282C4×#67—21no—
283C4×#67—21no—
284C2×C4⋊Dic3—21no—
285#924—21no—
286#924—21no—
287#924—21no—
288C2×Dic3⋊C4—21no—
289C2×Dic3⋊C4—21no—
290C2×C4×Dic3—21no—
291#915Q818yescomplemented
292C2×Dic12C2311yescharacteristic
293C2×ΓL(1,𝔽25)C2311yescharacteristic
294C2×ΓL(1,𝔽25)C2311yescharacteristic
295C2×D3×C8C2311yescharacteristic
296C2×D3×C8C2311yescharacteristic
297#897—21no—
298#897—21no—
299#897—21no—
300#897D411yescharacteristic
301#896—21no—
302#896—21no—
303#896—21no—
304#896—21no—
305#896—21no—
306#896—21no—
307#896D411yescharacteristic
308#896D411yescharacteristic
309#892—21no—
310#892—21no—
311#892C2311yescharacteristic
312#892C2311yescharacteristic
313#892C2311yescharacteristic
314D3×C4⋊C4—21no—
315D3×C4⋊C4—21no—
316D3×C4⋊C4C2311yescharacteristic
317D3×C4⋊C4C2311yescharacteristic
318D3×C4⋊C4C2311yescharacteristic
319#890—21no—
320#890—21no—
321#890C2311yescharacteristic
322#890C2311yescharacteristic
323#890C2311yescharacteristic
324#890C2311yescharacteristic
325#889—21no—
326#889—21no—
327#889—21no—
328#889—21no—
329#889—21no—
330#889—21no—
331#889—21no—
332#889—21no—
333#889—21no—
334#889—21no—
335#889—21no—
336#889—21no—
337#889—21no—
338#889—21no—
339#889D411yescharacteristic
340#889D411yescharacteristic
341#888—21no—
342#888—21no—
343#888—21no—
344#888—21no—
345#888—21no—
346#888—21no—
347#888—21no—
348#888—21no—
349#888—21no—
350#888—21no—
351#888—21no—
352#888—21no—
353#888—21no—
354#888—21no—
355#888—21no—
356#888—21no—
357#888—21no—
358#888D411yescharacteristic
359#888C2311yescharacteristic
360#888C2311yescharacteristic
361#888C2311yescharacteristic
362#888C2311yescharacteristic
363#888C2311yescharacteristic
364#888C2311yescharacteristic
365#888C2311yescharacteristic
366#888C2311yescharacteristic
367#887—21no—
368#887—21no—
369#887—21no—
370#887—21no—
371#887—21no—
372#887—21no—
373#887—21no—
374#887—21no—
375#887—21no—
376#887—21no—
377#887—21no—
378#887—21no—
379#887C2311yescharacteristic
380#887C2311yescharacteristic
381#887C2311yescharacteristic
382#887C2311yescharacteristic
383#887C2311yescharacteristic
384#887C2311yescharacteristic
385#67⋊C4—21no—
386#67⋊C4—21no—
387#67⋊C4—21no—
388#878—21no—
389#878—21no—
390#878—21no—
391#878—21no—
392#878—21no—
393#878—21no—
394#877—21no—
395#877—21no—
396#877—21no—
397#872—21no—
398#872—21no—
399#872C2311yescharacteristic
400#872C2311yescharacteristic
401C42×D3—21no—
402C42×D3C2311yescharacteristic
403#870—21no—
404#870—21no—
405#870C2311yescharacteristic
406#870C2311yescharacteristic
407#869—21no—
408#869C2311yescharacteristic
409#869C2311yescharacteristic
410#869C2311yescharacteristic
411#869C2311yescharacteristic
412C4×Dic6—21no—
413C4×Dic6—21no—
414C4×Dic6—21no—
415C4×Dic6—21no—
416C4×Dic6—21no—
417C4×Dic6—21no—
418C4×Dic6C2311yescharacteristic
419C4×Dic6C2311yescharacteristic
420C4×Dic6C2311yescharacteristic
421C4×Dic6C2311yescharacteristic
422C4×Dic6C2311yescharacteristic
423C4×Dic6C2311yescharacteristic
424C4×Dic6C2311yescharacteristic
425C4×Dic6C2311yescharacteristic
426C4×Dic6C2311yescharacteristic
427C3×#107C2311yescharacteristic
428C3×#107C2311yescharacteristic
429C3×#107C2311yescharacteristic
430C3×#107C2311yescharacteristic
431C3×#106C2311yescharacteristic
432C3×#106C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×C4⋊C8C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#102C2311yescharacteristic
443C3×#102C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#97C2311yescharacteristic
446C3×#97C2311yescharacteristic
447C3×C4×C8C2311yescharacteristic
448#835C2311yescharacteristic
449#835C2311yescharacteristic
450#835C2311yescharacteristic
451#832C2311yescharacteristic
452#832C2311yescharacteristic
453#832C2311yescharacteristic
454#818C2311yescharacteristic
455#818C2311yescharacteristic
456#818C2311yescharacteristic
457#817C2311yescharacteristic
458#817C2311yescharacteristic
459#817C2311yescharacteristic
460#817C2311yescharacteristic
461#817C2311yescharacteristic
462#817C2311yescharacteristic
463#816C2311yescharacteristic
464#816C2311yescharacteristic
465#816C2311yescharacteristic
466#816C2311yescharacteristic
467#816C2311yescharacteristic
468#816C2311yescharacteristic
469#815C2311yescharacteristic
470#815C2311yescharacteristic
471Dic3⋊C8C2311yescharacteristic
472Dic3⋊C8C2311yescharacteristic
473Dic3⋊C8C2311yescharacteristic
474Dic3⋊C8C2311yescharacteristic
475Dic3⋊C8C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477C8×Dic3C2311yescharacteristic
478C8×Dic3C2311yescharacteristic
479C8×Dic3C2311yescharacteristic
480C8×Dic3C2311yescharacteristic
481#810C2311yescharacteristic
482#810C2311yescharacteristic
483#810C2311yescharacteristic
484#810C2311yescharacteristic
485#810C2311yescharacteristic
486#810C2311yescharacteristic
487#808C2311yescharacteristic
488#808C2311yescharacteristic
489#808C2311yescharacteristic
490#808C2311yescharacteristic
491#808C2311yescharacteristic
492#808C2311yescharacteristic
493#808C2311yescharacteristic
494#808C2311yescharacteristic
495#808C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#807C2311yescharacteristic
499#807C2311yescharacteristic
500#807C2311yescharacteristic
501#807C2311yescharacteristic
502#807C2311yescharacteristic
503#807C2311yescharacteristic
504#807C2311yescharacteristic
505C4⋊(C3⋊C8)C2311yescharacteristic
506C4⋊(C3⋊C8)C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508#803C2311yescharacteristic
509#803C2311yescharacteristic
510C4×C3⋊C8C2311yescharacteristic
511C2×#137—31no—
512Q82—31no—
513Q82—31no—
514Q82—31no—
515Q82—31no—
516Q82—61no—
517#557—31no—
518#557—31no—
519#557—31no—
520#557—31no—
521#557—31no—
522#557—31no—
523#557—31no—
524#557—61no—
525#557—61no—
526#557—61no—
527#557C2×D311yescharacteristic
528#554—31no—
529#554—61no—
530#554—61no—
531#554C2×D311yescharacteristic
532D4×Q8—31no—
533D4×Q8—31no—
534D4×Q8—61no—
535D4×Q8—61no—
536#544—31no—
537#544—31no—
538#544—31no—
539#544—31no—
540#544—61no—
541#544—61no—
542#544—61no—
543#544—61no—
544#533—31no—
545#533—31no—
546#533—61no—
547#533—61no—
548#533—61no—
549C2×C4⋊Q8—31no—
550C2×C4⋊Q8—61no—
551#520—31no—
552#520—31no—
553#519—31no—
554#519—31no—
555C4×#41—31no—
556C2×C4×Q8—31no—
557#501—31no—
558#501—31no—
559#501—31no—
560#501—31no—
561#501—31no—
562#501—31no—
563#501—31no—
564#501—31no—
565#501—31no—
566#501—31no—
567#501C2×D311yescharacteristic
568#501C2×D311yescharacteristic
569#500—31no—
570#500—31no—
571#499—31no—
572#499—31no—
573#499—31no—
574#499C2×D311yescharacteristic
575#498—31no—
576#498—31no—
577#498—31no—
578#498—31no—
579#498—31no—
580#498—31no—
581#479—31no—
582#479—31no—
583#479—31no—
584#479—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
591#479—31no—
592#479—31no—
593#479C2×D311yescharacteristic
594#479C2×D311yescharacteristic
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478C2×D311yescharacteristic
600#478C2×D311yescharacteristic
601#477—31no—
602#477—31no—
603#477—31no—
604#477—31no—
605#477—31no—
606#476—31no—
607#476—31no—
608#476—31no—
609#476—31no—
610#476C2×D311yescharacteristic
611#475—31no—
612#475—31no—
613#475—31no—
614#475—31no—
615#475—31no—
616#475—31no—
617#475—31no—
618#475—31no—
619#475—31no—
620#475—31no—
621#475—31no—
622#475—31no—
623#475—31no—
624#475—31no—
625#475—31no—
626#475—31no—
627#475C2×D311yescharacteristic
628#474—31no—
629#446—31no—
630#446—31no—
631#446—31no—
632#446—31no—
633#446—31no—
634#446C2×D311yescharacteristic
635C8×Q8—31no—
636C8×Q8—31no—
637#441—31no—
638#441—31no—
639#441—31no—
640#441—31no—
641#441—31no—
642#441—31no—
643#440—31no—
644#440—31no—
645#440—31no—
646#440—31no—
647#440C2×D311yescharacteristic
648#440C2×D311yescharacteristic
649C4×Q16—31no—
650C4×Q16—31no—
651C4×Q16—31no—
652C4×Q16—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×SD16—31no—
656C4×SD16—31no—
657C4×SD16—31no—
658C4×SD16—31no—
659C4×SD16—31no—
660C4×SD16C2×D311yescharacteristic
661#428—31no—
662#428—31no—
663#428—31no—
664#428—31no—
665#428—31no—
666#427—31no—
667#427—31no—
668C2×#106—31no—
669C2×#106—31no—
670#424—31no—
671#424—31no—
672C2×C4⋊C8—31no—
673#419—31no—
674#417—31no—
675#416—31no—
676#416—31no—
677C2×#103—31no—
678C2×#103—31no—
679#405—31no—
680#405—31no—
681C4×M16—31no—
682C2×C3×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2×D411yescharacteristic
685C2×C3×Q8C2411yescharacteristic
686C2×C3×D4C2411yescharacteristic
687C22×C3×C4—21no—
688C22×C3×C4—21no—
689C22×C3×C4—21no—
690C2×#67—21no—
691C22×Dic3—21no—
692C22×Dic3—21no—
693C22×Dic3—21no—
694C22×Dic3—21no—
695D3×Q8—22no—
696D3×Q8—82no—
697D3×Q8C2×Q814yescomplemented
698#237—22no—
699#237C2×Q814yes—
700C2×C4×D3—21no—
701C2×C4×D3—21no—
702C2×C4×D3—21no—
703C2×C4×D3—21no—
704C2×C4×D3C2×D411yescharacteristic
705C2×C4×D3C2×D411yescharacteristic
706C2×C4×D3C2411yescharacteristic
707C2×Dic6—21no—
708C2×Dic6—21no—
709C2×Dic6—21no—
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6—21no—
714C2×Dic6—21no—
715C2×Dic6—21no—
716C2×Dic6—21no—
717C2×Dic6—21no—
718C2×Dic6—21no—
719C2×Dic6—21no—
720C2×Dic6—82no—
721C2×Dic6—82no—
722C2×Dic6C2×D411yescharacteristic
723C2×Dic6C2×D411yescharacteristic
724C2×Dic6C2×D411yescharacteristic
725C2×Dic6C2411yescharacteristic
726C2×Dic6C2411yescharacteristic
727C3×SD16C2×Q814yescomplemented
728C2×C3×C8C2411yescharacteristic
729C2×C3×C8C2411yescharacteristic
730C2×C3×C8C2411yescharacteristic
731C2×C3×C8C2411yescharacteristic
732C3×C4⋊C4—21no—
733C3×C4⋊C4—21no—
734C3×C4⋊C4—21no—
735C3×C4⋊C4—21no—
736C3×C4⋊C4—21no—
737C3×C4⋊C4—21no—
738C3×C4⋊C4—21no—
739C3×C4⋊C4—21no—
740C3×C4⋊C4—21no—
741C3×C4⋊C4—21no—
742C3×C4⋊C4—21no—
743C3×C4⋊C4—21no—
744C3×C4⋊C4—21no—
745C3×C4⋊C4C2×D411yescharacteristic
746C3×C4⋊C4C2×D411yescharacteristic
747C3×C4⋊C4C2×D411yescharacteristic
748C3×C4⋊C4C2411yescharacteristic
749C3×C4⋊C4C2411yescharacteristic
750C3×C4⋊C4C2411yescharacteristic
751C3×C4⋊C4C2411yescharacteristic
752C3×C4⋊C4C2411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C22⋊C4—21no—
755C3×C22⋊C4—21no—
756C3×C22⋊C4—21no—
757C3×C42—21no—
758C3×C42—21no—
759C3×C42—21no—
760C3×C42C2411yescharacteristic
761C3×C42C2411yescharacteristic
762C3×C42C2411yescharacteristic
763#217—21no—
764#217—21no—
765#217—21no—
766#216C2×Q814yescomplemented
767#214C2×Q814yescomplemented
768(C2×D3)⋊C4—21no—
769(C2×D3)⋊C4—21no—
770(C2×D3)⋊C4—21no—
771(C2×D3)⋊C4C2×D411yescharacteristic
772(C2×D3)⋊C4C2×D411yescharacteristic
773(C2×D3)⋊C4C2×D411yescharacteristic
774(C2×D3)⋊C4C2×D411yescharacteristic
775C4⋊Dic3—21no—
776C4⋊Dic3—21no—
777C4⋊Dic3—21no—
778C4⋊Dic3—21no—
779C4⋊Dic3—21no—
780C4⋊Dic3—21no—
781C4⋊Dic3—21no—
782C4⋊Dic3—21no—
783C4⋊Dic3—21no—
784C4⋊Dic3—21no—
785C4⋊Dic3—21no—
786C4⋊Dic3C2×D411yescharacteristic
787C4⋊Dic3C2×D411yescharacteristic
788C4⋊Dic3C2×D411yescharacteristic
789C4⋊Dic3C2411yescharacteristic
790C4⋊Dic3C2411yescharacteristic
791C4⋊Dic3C2411yescharacteristic
792C4⋊Dic3C2411yescharacteristic
793C4⋊Dic3C2411yescharacteristic
794C4⋊Dic3C2411yescharacteristic
795Dic3⋊C4—21no—
796Dic3⋊C4—21no—
797Dic3⋊C4—21no—
798Dic3⋊C4—21no—
799Dic3⋊C4—21no—
800Dic3⋊C4—21no—
801Dic3⋊C4—21no—
802Dic3⋊C4—21no—
803Dic3⋊C4—21no—
804Dic3⋊C4—21no—
805Dic3⋊C4—21no—
806Dic3⋊C4—21no—
807Dic3⋊C4—21no—
808Dic3⋊C4—21no—
809Dic3⋊C4—21no—
810Dic3⋊C4—21no—
811Dic3⋊C4—21no—
812Dic3⋊C4—21no—
813Dic3⋊C4—21no—
814Dic3⋊C4—21no—
815Dic3⋊C4—21no—
816Dic3⋊C4—21no—
817Dic3⋊C4—21no—
818Dic3⋊C4—21no—
819Dic3⋊C4—21no—
820Dic3⋊C4—21no—
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4C2×D411yescharacteristic
827Dic3⋊C4C2×D411yescharacteristic
828Dic3⋊C4C2×D411yescharacteristic
829Dic3⋊C4C2×D411yescharacteristic
830Dic3⋊C4C2×D411yescharacteristic
831Dic3⋊C4C2×D411yescharacteristic
832Dic3⋊C4C2×D411yescharacteristic
833Dic3⋊C4C2×D411yescharacteristic
834Dic3⋊C4C2×D411yescharacteristic
835Dic3⋊C4C2×D411yescharacteristic
836C4×Dic3—21no—
837C4×Dic3—21no—
838C4×Dic3—21no—
839C4×Dic3—21no—
840C4×Dic3—21no—
841C4×Dic3—21no—
842C4×Dic3—21no—
843C4×Dic3—21no—
844C4×Dic3—21no—
845C4×Dic3—21no—
846C4×Dic3—21no—
847C4×Dic3—21no—
848C4×Dic3—21no—
849C4×Dic3—21no—
850C4×Dic3—21no—
851C4×Dic3—21no—
852C4×Dic3—21no—
853C4×Dic3—21no—
854C4×Dic3C2×D411yescharacteristic
855C4×Dic3C2×D411yescharacteristic
856C4×Dic3C2411yescharacteristic
857C4×Dic3C2411yescharacteristic
858C4×Dic3C2411yescharacteristic
859C2×C3⋊C8C2411yescharacteristic
860C2×C3⋊C8C2411yescharacteristic
861C2×C3⋊C8C2411yescharacteristic
862C2×C3⋊C8C2411yescharacteristic
863Dic12C2×Q814yescomplemented
864ΓL(1,𝔽25)—22no—
865ΓL(1,𝔽25)C2×Q814yescomplemented
866D3×C8—22no—
867D3×C8—22no—
868C2×#41—31no—
869C22×Q8—31no—
870C22×Q8—61no—
871C22×Q8—61no—
872C22×Q8—61no—
873#137—38no—
874C2×Q16—31no—
875C2×Q16—31no—
876C2×SD16—31no—
877C2×SD16C22×D311yescharacteristic
878C2×M16—31no—
879C2×M16—31no—
880C22×C8—31no—
881C22×C8—31no—
882C4⋊Q8—21no—
883C4⋊Q8—31no—
884C4⋊Q8—31no—
885C4⋊Q8—31no—
886C4⋊Q8—31no—
887C4⋊Q8—31no—
888C4⋊Q8—31no—
889C4⋊Q8—31no—
890C4⋊Q8—31no—
891C4⋊Q8—31no—
892C4⋊Q8—31no—
893C4⋊Q8—31no—
894C4⋊Q8—31no—
895C4⋊Q8—31no—
896C4⋊Q8—31no—
897C4⋊Q8—61no—
898C4⋊Q8—61no—
899C4⋊Q8—61no—
900C4⋊Q8—61no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8—61no—
904C4⋊Q8—61no—
905C4⋊Q8—61no—
906C4⋊Q8—61no—
907C4⋊Q8—61no—
908C4⋊Q8—61no—
909C4⋊Q8—61no—
910C4⋊Q8—61no—
911C4⋊Q8—61no—
912C4⋊Q8—61no—
913C4⋊Q8—61no—
914C4⋊Q8—61no—
915C4⋊Q8—61no—
916C4⋊Q8—61no—
917C4⋊Q8—61no—
918C4⋊Q8—61no—
919C4⋊Q8—61no—
920C4⋊Q8—61no—
921C4⋊Q8—61no—
922C4⋊Q8C22×D311yescharacteristic
923C4⋊Q8C22×D311yescharacteristic
924#125—21no—
925#125—21no—
926#125—31no—
927#125—31no—
928#125—31no—
929#125—31no—
930#125—31no—
931#125—31no—
932#125—31no—
933#125—31no—
934#125—61no—
935#125—61no—
936#125—61no—
937#125—61no—
938#125—61no—
939#125—61no—
940#125—61no—
941#125—61no—
942#125—61no—
943#125—61no—
944#125—61no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#125—61no—
951#125—61no—
952#125C22×D311yescharacteristic
953#125C22×D311yescharacteristic
954#125C22×D311yescharacteristic
955#125C22×D311yescharacteristic
956C22⋊Q8—21no—
957C22⋊Q8—21no—
958C22⋊Q8—21no—
959C22⋊Q8—31no—
960C22⋊Q8—31no—
961C22⋊Q8—31no—
962C22⋊Q8—31no—
963C22⋊Q8—61no—
964C22⋊Q8—61no—
965C22⋊Q8—61no—
966C22⋊Q8—61no—
967C22⋊Q8—61no—
968C22⋊Q8—61no—
969C22⋊Q8—61no—
970C22⋊Q8—61no—
971C22⋊Q8—61no—
972C22⋊Q8—61no—
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—
982C4×Q8—21no—
983C4×Q8—31no—
984C4×Q8—31no—
985C4×Q8—31no—
986C4×Q8—31no—
987C4×Q8—31no—
988C4×Q8—31no—
989C4×Q8—31no—
990C4×Q8—31no—
991C4×Q8—31no—
992C4×Q8—31no—
993C4×Q8—31no—
994C4×Q8—31no—
995C4×Q8—31no—
996C4×Q8—31no—
997C4×Q8—31no—
998C4×Q8—31no—
999C4×Q8—31no—
1000C4×Q8—31no—
1001C4×Q8—61no—
1002C4×Q8—61no—
1003C4×Q8—61no—
1004C4×Q8—61no—
1005C4×Q8—61no—
1006C4×Q8—61no—
1007C4×Q8—61no—
1008C4×Q8—61no—
1009C4×Q8—61no—
1010C4×Q8—61no—
1011C4×Q8—61no—
1012C4×Q8—61no—
1013C4×Q8—61no—
1014C4×Q8—61no—
1015C4×Q8—61no—
1016C4×Q8—61no—
1017C4×Q8—61no—
1018C4×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8C22×D311yescharacteristic
1021C4×Q8C22×D311yescharacteristic
1022C4×Q8C22×D311yescharacteristic
1023C4×Q8C22×D311yescharacteristic
1024C4×D4—31no—
1025C4×D4—31no—
1026C4×D4—31no—
1027C4×D4—61no—
1028C4×D4—61no—
1029C4×D4—61no—
1030C4×D4—61no—
1031C4×D4—61no—
1032C4×D4—61no—
1033C4×D4C22×D311yescharacteristic
1034C4×D4C22×D311yescharacteristic
1035C4×D4C22×D311yescharacteristic
1036#117—31no—
1037#117—31no—
1038#117—31no—
1039#117—31no—
1040#117—31no—
1041#117—61no—
1042#117—61no—
1043#117—61no—
1044#117—61no—
1045#117—61no—
1046#117—61no—
1047#117—61no—
1048C2×C4⋊C4—21no—
1049C2×C4⋊C4—31no—
1050C2×C4⋊C4—31no—
1051C2×C4⋊C4—31no—
1052C2×C4⋊C4—61no—
1053C2×C4⋊C4—61no—
1054C2×C4⋊C4—61no—
1055C2×C4⋊C4—61no—
1056C2×C4⋊C4—61no—
1057C2×C42—31no—
1058C2×C42—61no—
1059C2×C42—61no—
1060#107—31no—
1061#107—31no—
1062#107—31no—
1063#107—31no—
1064#107—31no—
1065#107—31no—
1066#107—31no—
1067#107—31no—
1068#107—31no—
1069#107—31no—
1070#107C22×D311yescharacteristic
1071#107C22×D311yescharacteristic
1072#107C22×D311yescharacteristic
1073#107C22×D311yescharacteristic
1074#106—31no—
1075#106—31no—
1076#106—31no—
1077#106—31no—
1078#106—31no—
1079#106—31no—
1080#106—31no—
1081#106—31no—
1082#106—31no—
1083#106—31no—
1084#106—31no—
1085#106—31no—
1086#106—31no—
1087#106—31no—
1088#106—31no—
1089#106—31no—
1090#106—31no—
1091#106C22×D311yescharacteristic
1092#106C22×D311yescharacteristic
1093#106C22×D311yescharacteristic
1094#106C22×D311yescharacteristic
1095#106C22×D311yescharacteristic
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104C4⋊C8—31no—
1105C4⋊C8C22×D311yescharacteristic
1106C4⋊C8C22×D311yescharacteristic
1107C4⋊C8C22×D311yescharacteristic
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103—31no—
1122#103—31no—
1123#103C22×D311yescharacteristic
1124#103C22×D311yescharacteristic
1125#103C22×D311yescharacteristic
1126#102—31no—
1127#102—31no—
1128#102—31no—
1129#102C22×D311yescharacteristic
1130#102C22×D311yescharacteristic
1131#102C22×D311yescharacteristic
1132#97—31no—
1133#97—31no—
1134#97—31no—
1135#97—31no—
1136#97C22×D311yescharacteristic
1137#97C22×D311yescharacteristic
1138C4×C8—31no—
1139C4×C8—31no—
1140C4×C8—31no—
1141C4×C8—31no—
1142C4×C8—31no—
1143C4×C8C22×D311yescharacteristic
1144C23×C3—21no—
1145C22×D3C22×D411yescharacteristic
1146C3×Q8—21no—
1147C3×Q8—41no—
1148C3×Q8—81no—
1149C3×Q8—81no—
1150C3×Q8C22×Q812yes—
1151C3×D4—21no—
1152C3×D4C22×Q812yes—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—42no—
1161C2×C3×C4—81no—
1162C2×C3×C4—81no—
1163C2×C3×C4C22×D411yescharacteristic
1164C2×C3×C4C22×D411yescharacteristic
1165C2×C3×C4C22×D411yescharacteristic
1166C2×C3×C4C22×D411yescharacteristic
1167C2×C3×C4C22×D411yescharacteristic
1168C2×C3×C4C22×D411yescharacteristic
1169C2×C3×C4C2511yescharacteristic
1170#67—24no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—24no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—42no—
1181C2×Dic3—81no—
1182C2×Dic3—81no—
1183C2×Dic3C22×D411yescharacteristic
1184C2×Dic3C22×D411yescharacteristic
1185C2×Dic3C22×D411yescharacteristic
1186C2×Dic3C22×D411yescharacteristic
1187C2×Dic3C22×D411yescharacteristic
1188C2×Dic3C22×D411yescharacteristic
1189C2×Dic3C22×D411yescharacteristic
1190C4×D3—24no—
1191C4×D3—22no—
1192C4×D3—41no—
1193C4×D3—81no—
1194C4×D3—81no—
1195C4×D3—81no—
1196C4×D3C22×Q812yes—
1197C4×D32−1+412yes—
1198Dic6—21no—
1199Dic6—21no—
1200Dic6—24no—
1201Dic6—22no—
1202Dic6—22no—
1203Dic6—41no—
1204Dic6—42no—
1205Dic6—42no—
1206Dic6—42no—
1207Dic6—81no—
1208Dic6—81no—
1209Dic6—81no—
1210Dic6—81no—
1211Dic6—81no—
1212Dic6—81no—
1213Dic6—81no—
1214Dic6—81no—
1215Dic6—81no—
1216Dic6C22×Q812yes—
1217Dic6C22×Q812yes—
1218C3×C8—21no—
1219C3×C8—21no—
1220C3×C8—21no—
1221C3×C8C22×Q812yes—
1222C3⋊C8—21no—
1223C3⋊C8—21no—
1224C3⋊C8—21no—
1225C3⋊C8C22×Q812yes—
1226#41—34no—
1227#41—62no—
1228C2×Q8—21no—
1229C2×Q8—21no—
1230C2×Q8—31no—
1231C2×Q8—31no—
1232C2×Q8—31no—
1233C2×Q8—34no—
1234C2×Q8—31no—
1235C2×Q8—31no—
1236C2×Q8—61no—
1237C2×Q8—61no—
1238C2×Q8—61no—
1239C2×Q8—61no—
1240C2×Q8—61no—
1241C2×Q8—61no—
1242C2×Q8—61no—
1243C2×Q8—61no—
1244C2×Q8—61no—
1245C2×Q8—62no—
1246C2×Q8—61no—
1247C2×Q8—61no—
1248C2×Q8—61no—
1249C2×Q8—61no—
1250C2×Q8—242no—
1251C2×Q8—242no—
1252C2×Q8—242no—
1253C2×Q8D3×D411yescharacteristic
1254C2×Q8C23×D311yescharacteristic
1255C2×D4—61no—
1256C2×D4C23×D311yescharacteristic
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—31no—
1261C22×C4—31no—
1262C22×C4—31no—
1263C22×C4—61no—
1264C22×C4—61no—
1265C22×C4—61no—
1266C22×C4—61no—
1267C22×C4—61no—
1268C22×C4—61no—
1269C22×C4—61no—
1270C22×C4—61no—
1271Q16—34no—
1272Q16—34no—
1273SD16—34no—
1274SD16D3×Q814yescomplemented
1275M16—34no—
1276M16—62no—
1277C2×C8—31no—
1278C2×C8—31no—
1279C2×C8—31no—
1280C2×C8—31no—
1281C2×C8—62no—
1282C2×C8—62no—
1283C2×C8C23×D311yescharacteristic
1284C2×C8C23×D311yescharacteristic
1285C2×C8C23×D311yescharacteristic
1286C2×C8C23×D311yescharacteristic
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—31no—
1301C4⋊C4—31no—
1302C4⋊C4—31no—
1303C4⋊C4—31no—
1304C4⋊C4—31no—
1305C4⋊C4—31no—
1306C4⋊C4—31no—
1307C4⋊C4—31no—
1308C4⋊C4—31no—
1309C4⋊C4—31no—
1310C4⋊C4—31no—
1311C4⋊C4—31no—
1312C4⋊C4—31no—
1313C4⋊C4—31no—
1314C4⋊C4—31no—
1315C4⋊C4—31no—
1316C4⋊C4—31no—
1317C4⋊C4—31no—
1318C4⋊C4—31no—
1319C4⋊C4—61no—
1320C4⋊C4—61no—
1321C4⋊C4—61no—
1322C4⋊C4—61no—
1323C4⋊C4—61no—
1324C4⋊C4—61no—
1325C4⋊C4—61no—
1326C4⋊C4—61no—
1327C4⋊C4—61no—
1328C4⋊C4—61no—
1329C4⋊C4—61no—
1330C4⋊C4—61no—
1331C4⋊C4—61no—
1332C4⋊C4—61no—
1333C4⋊C4—61no—
1334C4⋊C4—61no—
1335C4⋊C4—61no—
1336C4⋊C4—61no—
1337C4⋊C4—61no—
1338C4⋊C4—61no—
1339C4⋊C4—61no—
1340C4⋊C4—61no—
1341C4⋊C4—61no—
1342C4⋊C4—61no—
1343C4⋊C4—61no—
1344C4⋊C4—61no—
1345C4⋊C4—61no—
1346C4⋊C4—61no—
1347C4⋊C4—61no—
1348C4⋊C4—61no—
1349C4⋊C4—61no—
1350C4⋊C4—61no—
1351C4⋊C4—61no—
1352C4⋊C4—61no—
1353C4⋊C4—61no—
1354C4⋊C4—61no—
1355C4⋊C4—61no—
1356C4⋊C4—61no—
1357C4⋊C4—61no—
1358C4⋊C4—61no—
1359C4⋊C4—61no—
1360C4⋊C4—61no—
1361C4⋊C4D3×D411yescharacteristic
1362C4⋊C4D3×D411yescharacteristic
1363C4⋊C4D3×D411yescharacteristic
1364C4⋊C4C23×D311yescharacteristic
1365C4⋊C4C23×D311yescharacteristic
1366C4⋊C4C23×D311yescharacteristic
1367C4⋊C4C23×D311yescharacteristic
1368C4⋊C4C23×D311yescharacteristic
1369C4⋊C4C23×D311yescharacteristic
1370C22⋊C4—21no—
1371C22⋊C4—21no—
1372C22⋊C4—21no—
1373C22⋊C4—31no—
1374C22⋊C4—31no—
1375C22⋊C4—31no—
1376C22⋊C4—31no—
1377C22⋊C4—61no—
1378C22⋊C4—61no—
1379C22⋊C4—61no—
1380C22⋊C4—61no—
1381C22⋊C4—61no—
1382C22⋊C4—61no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—31no—
1387C42—31no—
1388C42—31no—
1389C42—31no—
1390C42—31no—
1391C42—61no—
1392C42—61no—
1393C42—61no—
1394C42—61no—
1395C42—61no—
1396C42—61no—
1397C42—61no—
1398C42—61no—
1399C42—61no—
1400C42—61no—
1401C42—61no—
1402C42—61no—
1403C42—61no—
1404C42—61no—
1405C42—61no—
1406C42—61no—
1407C42—61no—
1408C42—61no—
1409C42C23×D311yescharacteristic
1410C42C23×D311yescharacteristic
1411C42C23×D311yescharacteristic
1412C22×C3—22no—
1413C22×C3—41no—
1414C22×C3—41no—
1415C22×C3C23×D411yescharacteristic
1416C2×D3—21no—
1417C2×D3—21no—
1418C2×D3D4×Q812yes—
1419C3×C4—21no—
1420C3×C4—21no—
1421C3×C4—21no—
1422C3×C4—22no—
1423C3×C4—21no—
1424C3×C4—21no—
1425C3×C4—21no—
1426C3×C4—41no—
1427C3×C4—41no—
1428C3×C4—41no—
1429C3×C4—41no—
1430C3×C4—41no—
1431C3×C4—41no—
1432C3×C4C23×Q811yescharacteristic
1433C3×C4C2×2−1+411yescharacteristic
1434Dic3—21no—
1435Dic3—21no—
1436Dic3—21no—
1437Dic3—22no—
1438Dic3—22no—
1439Dic3—21no—
1440Dic3—21no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3—41no—
1444Dic3—41no—
1445Dic3—41no—
1446Dic3—41no—
1447Dic3D4×Q812yes—
1448Dic3#57712yes—
1449C23—21no—
1450C23—31no—
1451Q8—21no—
1452Q8—32no—
1453Q8—32no—
1454Q8—41no—
1455Q8—64no—
1456Q8—62no—
1457Q8—62no—
1458Q8—61no—
1459Q8—61no—
1460Q8—81no—
1461Q8—81no—
1462Q8—121no—
1463Q8—122no—
1464Q8—122no—
1465Q8—122no—
1466Q8—241no—
1467Q8—241no—
1468Q8—241no—
1469Q8—241no—
1470Q8—241no—
1471Q8—241no—
1472Q8—241no—
1473Q8—241no—
1474Q8—241no—
1475Q8C2×D3×Q812yes—
1476D4—21no—
1477D4—64no—
1478D4C2×D3×Q812yes—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—31no—
1487C2×C4—31no—
1488C2×C4—32no—
1489C2×C4—32no—
1490C2×C4—31no—
1491C2×C4—31no—
1492C2×C4—31no—
1493C2×C4—31no—
1494C2×C4—31no—
1495C2×C4—42no—
1496C2×C4—62no—
1497C2×C4—64no—
1498C2×C4—64no—
1499C2×C4—61no—
1500C2×C4—61no—
1501C2×C4—61no—
1502C2×C4—61no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—81no—
1508C2×C4—81no—
1509C2×C4—121no—
1510C2×C4—122no—
1511C2×C4—241no—
1512C2×C4—241no—
1513C2×C4—241no—
1514C2×C4—241no—
1515C2×C4—241no—
1516C2×C4C2×D3×D411yescharacteristic
1517C2×C4C2×D3×D411yescharacteristic
1518C2×C4C2×D3×D411yescharacteristic
1519C2×C4C2×D3×D411yescharacteristic
1520C2×C4C2×D3×D411yescharacteristic
1521C2×C4C2×D3×D411yescharacteristic
1522C2×C4C24×D311yescharacteristic
1523C8—21no—
1524C8—21no—
1525C8—21no—
1526C8—32no—
1527C8—61no—
1528C8—61no—
1529C8—61no—
1530C8C2×D3×Q812yes—
1531C2×C3—42no—
1532C2×C3C2×D4×Q811yescharacteristic
1533C2×C3C2×#57711yescharacteristic
1534C2×C3#358611yescharacteristic
1535D3—22no—
1536C22—22no—
1537C22—32no—
1538C22—41no—
1539C22—41no—
1540C22—61no—
1541C22—61no—
1542C22C22×D3×D411yescharacteristic
1543C4—21no—
1544C4—21no—
1545C4—21no—
1546C4—21no—
1547C4—21no—
1548C4—21no—
1549C4—22no—
1550C4—32no—
1551C4—32no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—61no—
1559C4—61no—
1560C4—61no—
1561C4—61no—
1562C4—61no—
1563C4—62no—
1564C4—62no—
1565C4—121no—
1566C4—121no—
1567C4—121no—
1568C4—121no—
1569C4—121no—
1570C4—121no—
1571C4C22×D3×Q811yescharacteristic
1572C4D3×2−1+411yescharacteristic
1573C3#6138311yescharacteristic, complemented, Sylow
1574C2—42no—
1575C2—62no—
1576C2D3×D4×Q811yescharacteristic
1577C2#8720111yescharacteristic
1578C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3388C2
socleC22×C3C23×D4
prime radicalC2×#237C23
hypercenter#3388D3
hypocenterC3#61383
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #87032C2semidirect
3. C3×#3388C2semidirect
4. #83683C2semidirect
5. #83632C2semidirect
6. #81976C2semidirect
7. #81974C2semidirect
8. #81967C2semidirect
9. #81967C2semidirect
10. #81917C2semidirect
11. #81914C2semidirect
12. #81233C2semidirect
13. #81232C2semidirect
14. #81224C2semidirect
15. #81222C2semidirect
18. #81161C2semidirect
19. #81159C2semidirect
21. #81053C2semidirect
22. D3×#475C2semidirect
23. #81007C2semidirect
24. #79986C2semidirect
25. #79961C2semidirect
28. #79762C2semidirect
29. #79760C2semidirect
31. SD16×Dic6C2semidirect
209. #3388D3semidirect
291. #915Q8semidirect
697. D3×Q8C2×Q8semidirect
727. C3×SD16C2×Q8semidirect
766. #216C2×Q8semidirect
767. #214C2×Q8semidirect
863. Dic12C2×Q8semidirect
865. ΓL(1,𝔽25)C2×Q8semidirect
1274. SD16D3×Q8semidirect
1573. C3#61383semidirect

Maximal subgroups

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

subgroupindex
#870322
#869262
C3×#33882
#836832
#836322
#819762
#819742
#819672
#819172
#819142
#812332
#812322
#812242
#812222
#811712
#811652
#811612
#811592
#810632
#810532
D3×#4752
#810072
#799862
#799612
#797762
#797742
#797622
#797602
#796482
SD16×Dic62
#613833