Finite Group Databasebeta

← #11675941

Subgroups — #11675941

Order 768.

1734 conjugacy classes of subgroups.

The subgroup lattice has 1596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86927C211yesmaximal, characteristic, complemented
2#86926C211yesmaximal, characteristic, complemented
3C3×#3389C211yesmaximal, characteristic, complemented
4#83632C211yesmaximal, characteristic, complemented
5#83631C211yesmaximal, characteristic, complemented
6#81975C211yesmaximal, characteristic, complemented
7D3×#501C211yesmaximal, characteristic, complemented
8#81971C211yesmaximal, characteristic, complemented
9#81967C211yesmaximal, characteristic, complemented
10#81932C211yesmaximal, characteristic, complemented
11#81917C211yesmaximal, characteristic, complemented
12#81171C211yesmaximal, characteristic, complemented
13#81171C211yesmaximal, characteristic, complemented
14#81170C211yesmaximal, characteristic, complemented
15#81167C211yesmaximal, characteristic, complemented
16#81161C211yesmaximal, characteristic, complemented
17#81161C211yesmaximal, characteristic, complemented
18#81160C211yesmaximal, characteristic, complemented
19#81159C211yesmaximal, characteristic, complemented
20#80968C211yesmaximal, characteristic, complemented
21#80966C211yesmaximal, characteristic, complemented
22#80961C211yesmaximal, characteristic, complemented
23#80960C211yesmaximal, characteristic, complemented
24#79986C211yesmaximal, characteristic, complemented
25#79959C211yesmaximal, characteristic, complemented
26#79868C211yesmaximal, characteristic
27#79864C211yesmaximal, characteristic
28#79856C211yesmaximal, characteristic, complemented
29#79855C211yesmaximal, characteristic, complemented
30#79589C211yesmaximal, characteristic
31#79576C211yesmaximal, characteristic, complemented
32#61380—31nomaximal, Sylow
33C3×#554C2211yescharacteristic
34C3×#554C2211yescharacteristic
35C2×#912C2211yescharacteristic
36#5729C2211yescharacteristic
37D3×C4⋊Q8C2211yescharacteristic
38#5722C2211yescharacteristic
39#5721C2211yescharacteristic
40#5689C2211yescharacteristic
41#5689C2211yescharacteristic
42#5689C2211yescharacteristic
43D3×#125C2211yescharacteristic
44#5685C2211yescharacteristic
45#5685C2211yescharacteristic
46#5685C2211yescharacteristic
47#5685C2211yescharacteristic
48#5636—21no—
49#5636—21no—
50#5635—21no—
51#5635—21no—
52#5632—21no—
53#5632—21no—
54#5623—21no—
55#5623—21no—
56#5623—21no—
57#5623—21no—
58#5622—21no—
59#5622—21no—
60#5578C2211yescharacteristic
61#5567C2211yescharacteristic
62Q8×Dic6C2211yescharacteristic
63#5546C2211yescharacteristic
64#5546C2211yescharacteristic
65#5546C2211yescharacteristic
66#5546C2211yescharacteristic
67#5543C2211yescharacteristic
68#5543C2211yescharacteristic
69#5539C2211yescharacteristic
70#5539C2211yescharacteristic
71D4×Dic6C2211yescharacteristic
72D4×Dic6C2211yescharacteristic
73C4×#237C2211yescharacteristic
74C4×#237C2211yescharacteristic
75#5511—21no—
76#5511—21no—
77C2×#889—21no—
78C2×#888—21no—
79C3×#501C2211yescharacteristic
80C3×#501C2211yescharacteristic
81C3×#499C2211yescharacteristic
82C3×#478C2211yescharacteristic
83C3×#478C2211yescharacteristic
84C3×#478C2211yescharacteristic
85C3×#478C2211yescharacteristic
86C3×#474C2211yescharacteristic
87C3×#474C2211yescharacteristic
88C3×#446C2211yescharacteristic
89C3×#442C2211yescharacteristic
90C3×#442C2211yescharacteristic
91C3×C4×D8C2211yescharacteristic
92#5152C2211yescharacteristic
93#5152C2211yescharacteristic
94Dic3×D8C2211yescharacteristic
95#5094C2211yescharacteristic
96#5091C2211yescharacteristic
97#5081C2211yescharacteristic
98#5078C2211yescharacteristic
99#5065C2211yescharacteristic
100#5064C2211yescharacteristic
101#5064C2211yescharacteristic
102#5064C2211yescharacteristic
103#5063C2211yescharacteristic
104#5063C2211yescharacteristic
105#5063C2211yescharacteristic
106#5063C2211yescharacteristic
107#5024C2211yescharacteristic
108#5018C2211yescharacteristic
109#5018C2211yescharacteristic
110#5018C2211yescharacteristic
111#5018C2211yescharacteristic
112C4×#214C2211yescharacteristic
113C4×#214C2211yescharacteristic
114#5009C2211yescharacteristic
115#5009C2211yescharacteristic
116#5008C2211yescharacteristic
117#5008C2211yescharacteristic
118#5007C2211yescharacteristic
119#5007C2211yescharacteristic
120#4881C2211yescharacteristic
121#4881C2211yescharacteristic
122#4881C2211yescharacteristic
123D3×#107C2211yescharacteristic
124D3×#107C2211yescharacteristic
125#4877C2211yescharacteristic
126#4877C2211yescharacteristic
127#4877C2211yescharacteristic
128#4877C2211yescharacteristic
129#4876C2211yescharacteristic
130#4876C2211yescharacteristic
131#4876C2211yescharacteristic
132#4876C2211yescharacteristic
133#4876C2211yescharacteristic
134#4875C2211yescharacteristic
135#4875C2211yescharacteristic
136#4875C2211yescharacteristic
137#4875C2211yescharacteristic
138#4874C2211yescharacteristic
139#4873C2211yescharacteristic
140#4861C2211yescharacteristic
141#4860C2211yescharacteristic
142D3×#106C2211yescharacteristic
143D3×#106C2211yescharacteristic
144#4858C2211yescharacteristic
145#4858C2211yescharacteristic
146#4857C2211yescharacteristic
147#4857C2211yescharacteristic
148#4856C2211yescharacteristic
149#4856C2211yescharacteristic
150#4856C2211yescharacteristic
151#4855C2211yescharacteristic
152#4854C2211yescharacteristic
153#4854C2211yescharacteristic
154#4853C2211yescharacteristic
155#4853C2211yescharacteristic
156#4851C2211yescharacteristic
157#4851C2211yescharacteristic
158#4851C2211yescharacteristic
159#4850C2211yescharacteristic
160#4839C2211yescharacteristic
161#4839C2211yescharacteristic
162#4837C2211yescharacteristic
163#4831C2211yescharacteristic
164#4829C2211yescharacteristic
165#4829C2211yescharacteristic
166#4828C2211yescharacteristic
167#4828C2211yescharacteristic
168#4772C2211yescharacteristic
169#4772C2211yescharacteristic
170#4771C2211yescharacteristic
171#4771C2211yescharacteristic
172#4771C2211yescharacteristic
173#4771C2211yescharacteristic
174#4766C2211yescharacteristic
175#4766C2211yescharacteristic
176#4763C2211yescharacteristic
177#4763C2211yescharacteristic
178#4763C2211yescharacteristic
179#4763C2211yescharacteristic
180#4761C2211yescharacteristic
181#4761C2211yescharacteristic
182#4761C2211yescharacteristic
183#4761C2211yescharacteristic
184#4759C2211yescharacteristic
185#4759C2211yescharacteristic
186#4758C2211yescharacteristic
187#4758C2211yescharacteristic
188#4757C2211yescharacteristic
189#4757C2211yescharacteristic
190#4757C2211yescharacteristic
191#4757C2211yescharacteristic
192#4716C2211yescharacteristic
193#4716C2211yescharacteristic
194#4708C2211yescharacteristic
195D3×#97C2211yescharacteristic
196#4702C2211yescharacteristic
197#4702C2211yescharacteristic
198#4701C2211yescharacteristic
199#4701C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201#4689C2211yescharacteristic
202#4680C2211yescharacteristic
203#4679C2211yescharacteristic
204#3504—31no—
205#3503—31no—
206#3390—31no—
207#3390—31no—
208#3389—31no—
209#3389D311yescharacteristic, complemented
210#3388—31no—
211#3388—31no—
212#3388—31no—
213#3388—31no—
214#3387—31no—
215#3387—31no—
216#3386—31no—
217#3386—31no—
218#3385—31no—
219#3385—31no—
220#3384—31no—
221#3384—31no—
222#3164—31no—
223#3163—31no—
224C2×#501—31no—
225#3084—31no—
226#3084—31no—
227#3083—31no—
228#3083—31no—
229#3080—31no—
230#3079—31no—
231#2961—31no—
232#2952—31no—
233#2951—31no—
234#2943—31no—
235C2×D3×Q8—21no—
236C2×#237C2311yescharacteristic
237C2×#237C2311yescharacteristic
238C22×Dic6—21no—
239C22×Dic6—21no—
240C2×C3×D8C2311yescharacteristic
241C3×C4⋊Q8C2311yescharacteristic
242C3×C4⋊Q8C2311yescharacteristic
243C3×#125C2311yescharacteristic
244C3×#125C2311yescharacteristic
245C3×#125C2311yescharacteristic
246C3×#125C2311yescharacteristic
247C3×C22⋊Q8—21no—
248C3×C22⋊Q8—21no—
249C3×C22⋊Q8—21no—
250C3×C22⋊Q8—21no—
251C3×C22⋊Q8—21no—
252C3×C22⋊Q8—21no—
253C3×C4×Q8C2311yescharacteristic
254C3×C4×D4C2311yescharacteristic
255C3×C4×D4C2311yescharacteristic
256C3×C4×D4C2311yescharacteristic
257C3×C4×D4C2311yescharacteristic
258C3×C4×D4C2311yescharacteristic
259C3×C4×D4C2311yescharacteristic
260C2×C3×C4⋊C4—21no—
261C2×C3×C4⋊C4—21no—
262#946—21no—
263#946D411yescharacteristic
264Q8×Dic3—21no—
265Q8×Dic3—21no—
266#944—21no—
267#944—21no—
268#944—21no—
269#944—21no—
270#944—21no—
271#944—21no—
272#944D411yescharacteristic
273D4×Dic3C2311yescharacteristic
274D4×Dic3C2311yescharacteristic
275D4×Dic3C2311yescharacteristic
276D4×Dic3C2311yescharacteristic
277D4×Dic3C2311yescharacteristic
278D4×Dic3C2311yescharacteristic
279C2×#214C2311yescharacteristic
280C2×#214C2311yescharacteristic
281C4×#67—21no—
282C4×#67—21no—
283C4×#67—21no—
284C4×#67—21no—
285C4×#67—21no—
286C4×#67—21no—
287C2×C4⋊Dic3—21no—
288C2×C4⋊Dic3—21no—
289#924—21no—
290#924—21no—
291#924—21no—
292#924—21no—
293#924—21no—
294#924—21no—
295C2×Dic3⋊C4—21no—
296C2×Dic3⋊C4—21no—
297C2×Dic3⋊C4—21no—
298C2×Dic3⋊C4—21no—
299C2×Dic3⋊C4—21no—
300C2×Dic3⋊C4—21no—
301C2×C4×Dic3—21no—
302C2×C4×Dic3—21no—
303#912Q818yescomplemented
304C2×Dic12C2311yescharacteristic
305C2×ΓL(1,𝔽25)C2311yescharacteristic
306C2×ΓL(1,𝔽25)C2311yescharacteristic
307C2×D3×C8C2311yescharacteristic
308C2×D3×C8C2311yescharacteristic
309#897—21no—
310#897—21no—
311#897—21no—
312#897D411yescharacteristic
313#896—21no—
314#896—21no—
315#896—21no—
316#896—21no—
317#896D411yescharacteristic
318#896D411yescharacteristic
319#892C2311yescharacteristic
320#892C2311yescharacteristic
321D3×C4⋊C4—21no—
322D3×C4⋊C4—21no—
323D3×C4⋊C4—21no—
324D3×C4⋊C4C2311yescharacteristic
325D3×C4⋊C4C2311yescharacteristic
326D3×C4⋊C4C2311yescharacteristic
327D3×C4⋊C4C2311yescharacteristic
328#890C2311yescharacteristic
329#890C2311yescharacteristic
330#890C2311yescharacteristic
331#890C2311yescharacteristic
332#890C2311yescharacteristic
333#890C2311yescharacteristic
334#889—21no—
335#889—21no—
336#889—21no—
337#889—21no—
338#889—21no—
339#889—21no—
340#889—21no—
341#889—21no—
342#889—21no—
343#889—21no—
344#889—21no—
345#889—21no—
346#889—21no—
347#889—21no—
348#889—21no—
349#889—21no—
350#889—21no—
351#889—21no—
352#889D411yescharacteristic
353#889D411yescharacteristic
354#888—21no—
355#888—21no—
356#888—21no—
357#888—21no—
358#888—21no—
359#888—21no—
360#888—21no—
361#888—21no—
362#888—21no—
363#888—21no—
364#888—21no—
365#888—21no—
366#888D411yescharacteristic
367#888C2311yescharacteristic
368#888C2311yescharacteristic
369#888C2311yescharacteristic
370#888C2311yescharacteristic
371#888C2311yescharacteristic
372#888C2311yescharacteristic
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#67⋊C4—21no—
389#67⋊C4—21no—
390#67⋊C4—21no—
391#878—21no—
392#878—21no—
393#878—21no—
394#878—21no—
395#878—21no—
396#878—21no—
397#878—21no—
398#878—21no—
399#878—21no—
400#878—21no—
401#878—21no—
402#878—21no—
403#877—21no—
404#877—21no—
405#877—21no—
406#877—21no—
407#877—21no—
408#877—21no—
409#872C2311yescharacteristic
410#872C2311yescharacteristic
411C42×D3C2311yescharacteristic
412#870C2311yescharacteristic
413#870C2311yescharacteristic
414#869C2311yescharacteristic
415#869C2311yescharacteristic
416#869C2311yescharacteristic
417#869C2311yescharacteristic
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×#107C2311yescharacteristic
432C3×#106C2311yescharacteristic
433C3×#106C2311yescharacteristic
434C3×#106C2311yescharacteristic
435C3×#106C2311yescharacteristic
436C3×C4⋊C8C2311yescharacteristic
437C3×C4⋊C8C2311yescharacteristic
438C3×C4⋊C8C2311yescharacteristic
439C3×#102C2311yescharacteristic
440C3×#102C2311yescharacteristic
441C3×#102C2311yescharacteristic
442C3×#102C2311yescharacteristic
443C3×#102C2311yescharacteristic
444C3×#102C2311yescharacteristic
445C3×#97C2311yescharacteristic
446C3×#97C2311yescharacteristic
447C3×C4×C8C2311yescharacteristic
448#832C2311yescharacteristic
449#832C2311yescharacteristic
450#832C2311yescharacteristic
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
471#815C2311yescharacteristic
472#815C2311yescharacteristic
473Dic3⋊C8C2311yescharacteristic
474Dic3⋊C8C2311yescharacteristic
475Dic3⋊C8C2311yescharacteristic
476Dic3⋊C8C2311yescharacteristic
477Dic3⋊C8C2311yescharacteristic
478Dic3⋊C8C2311yescharacteristic
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#807C2311yescharacteristic
496#807C2311yescharacteristic
497#807C2311yescharacteristic
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×#135—31no—
512Q82—31no—
513Q82—31no—
514#557—31no—
515#557—31no—
516#557—31no—
517#557—31no—
518#557—31no—
519#557—31no—
520#554—31no—
521#554—31no—
522#554—31no—
523#554—31no—
524#554—61no—
525#554—61no—
526#554—61no—
527#554—61no—
528#554—61no—
529#554—61no—
530#554C2×D311yescharacteristic
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—61no—
546#533—61no—
547C2×C4⋊Q8—31no—
548C2×C4⋊Q8—61no—
549C2×#125—31no—
550C2×#125—61no—
551#520—31no—
552#520—31no—
553#520—31no—
554#520—31no—
555C4×#41—31no—
556C4×#41—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#501—31no—
568#501—31no—
569#501—31no—
570#501—31no—
571#501C2×D311yescharacteristic
572#501C2×D311yescharacteristic
573#500—31no—
574#500—31no—
575#499—31no—
576#499—31no—
577#499—31no—
578#499C2×D311yescharacteristic
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#478—31no—
594#478—31no—
595#478—31no—
596#478—31no—
597#478—31no—
598#478—31no—
599#478—31no—
600#478—31no—
601#478C2×D311yescharacteristic
602#478C2×D311yescharacteristic
603#478C2×D311yescharacteristic
604#478C2×D311yescharacteristic
605#477—31no—
606#477—31no—
607#477—31no—
608#477—31no—
609#477—31no—
610#477—31no—
611#476—31no—
612#476—31no—
613#476—31no—
614#476—31no—
615#476—31no—
616#476—31no—
617#475—31no—
618#475—31no—
619#475—31no—
620#475—31no—
621#475—31no—
622#475—31no—
623#474—31no—
624#474—31no—
625#474—31no—
626#474—31no—
627#474C2×D311yescharacteristic
628#474C2×D311yescharacteristic
629#446—31no—
630#446—31no—
631#446—31no—
632#446—31no—
633#446—31no—
634#446—31no—
635#446—31no—
636#446C2×D311yescharacteristic
637#442—31no—
638#442—31no—
639#442C2×D311yescharacteristic
640#442C2×D311yescharacteristic
641#441—31no—
642#441—31no—
643#441—31no—
644#441—31no—
645#440—31no—
646#440—31no—
647#440—31no—
648#440—31no—
649#440—31no—
650#440—31no—
651#440—31no—
652#440—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×SD16—31no—
656C4×SD16—31no—
657C4×SD16—31no—
658C4×SD16—31no—
659C4×D8—31no—
660C4×D8C2×D311yescharacteristic
661#428—31no—
662#428—31no—
663#428—31no—
664#428—31no—
665#427—31no—
666C2×#107—31no—
667C2×#107—31no—
668C2×#106—31no—
669C2×#106—31no—
670#424—31no—
671#424—31no—
672#423—31no—
673#417—31no—
674#417—31no—
675#417—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679#405—31no—
680#405—31no—
681C2×#97—31no—
682C2×C3×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8C2×D411yescharacteristic
685C2×C3×D4C2411yescharacteristic
686C2×C3×D4C2411yescharacteristic
687C22×C3×C4—21no—
688C22×C3×C4—21no—
689C22×C3×C4—21no—
690C22×C3×C4—21no—
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C2×#67—21no—
694C2×#67—21no—
695C22×Dic3—21no—
696C22×Dic3—21no—
697C22×Dic3—21no—
698C22×Dic3—21no—
699C22×Dic3—21no—
700C22×Dic3—21no—
701C22×Dic3—21no—
702C22×Dic3—21no—
703D3×Q8—82no—
704#237—22no—
705#237—22no—
706#237C2×Q814yes—
707#237C2×Q814yescomplemented
708C2×C4×D3—21no—
709C2×C4×D3—21no—
710C2×C4×D3—21no—
711C2×C4×D3—21no—
712C2×C4×D3C2×D411yescharacteristic
713C2×C4×D3C2×D411yescharacteristic
714C2×C4×D3C2411yescharacteristic
715C2×Dic6—21no—
716C2×Dic6—21no—
717C2×Dic6—21no—
718C2×Dic6—21no—
719C2×Dic6—21no—
720C2×Dic6—21no—
721C2×Dic6—21no—
722C2×Dic6—21no—
723C2×Dic6—21no—
724C2×Dic6—21no—
725C2×Dic6—82no—
726C2×Dic6—82no—
727C2×Dic6C2×D411yescharacteristic
728C2×Dic6C2×D411yescharacteristic
729C2×Dic6C2×D411yescharacteristic
730C2×Dic6C2411yescharacteristic
731C2×Dic6C2411yescharacteristic
732C3×D8C2×Q814yescomplemented
733C2×C3×C8C2411yescharacteristic
734C2×C3×C8C2411yescharacteristic
735C2×C3×C8C2411yescharacteristic
736C2×C3×C8C2411yescharacteristic
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⋊C4—21no—
746C3×C4⋊C4—21no—
747C3×C4⋊C4C2×D411yescharacteristic
748C3×C4⋊C4C2×D411yescharacteristic
749C3×C4⋊C4C2×D411yescharacteristic
750C3×C4⋊C4C2411yescharacteristic
751C3×C4⋊C4C2411yescharacteristic
752C3×C4⋊C4C2411yescharacteristic
753C3×C4⋊C4C2411yescharacteristic
754C3×C4⋊C4C2411yescharacteristic
755C3×C4⋊C4C2411yescharacteristic
756C3×C22⋊C4—21no—
757C3×C22⋊C4—21no—
758C3×C22⋊C4—21no—
759C3×C22⋊C4—21no—
760C3×C22⋊C4—21no—
761C3×C22⋊C4—21no—
762C3×C42C2411yescharacteristic
763C3×C42C2411yescharacteristic
764C3×C42C2411yescharacteristic
765#217—21no—
766#217—21no—
767#217—21no—
768#217—21no—
769#217—21no—
770#217—21no—
771#214C2×Q814yescomplemented
772#214C2×Q814yescomplemented
773(C2×D3)⋊C4—21no—
774(C2×D3)⋊C4—21no—
775(C2×D3)⋊C4C2×D411yescharacteristic
776(C2×D3)⋊C4C2×D411yescharacteristic
777(C2×D3)⋊C4C2×D411yescharacteristic
778(C2×D3)⋊C4C2×D411yescharacteristic
779C4⋊Dic3—21no—
780C4⋊Dic3—21no—
781C4⋊Dic3—21no—
782C4⋊Dic3—21no—
783C4⋊Dic3—21no—
784C4⋊Dic3—21no—
785C4⋊Dic3—21no—
786C4⋊Dic3—21no—
787C4⋊Dic3—21no—
788C4⋊Dic3—21no—
789C4⋊Dic3C2×D411yescharacteristic
790C4⋊Dic3C2×D411yescharacteristic
791C4⋊Dic3C2×D411yescharacteristic
792C4⋊Dic3C2411yescharacteristic
793C4⋊Dic3C2411yescharacteristic
794C4⋊Dic3C2411yescharacteristic
795C4⋊Dic3C2411yescharacteristic
796C4⋊Dic3C2411yescharacteristic
797C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
827Dic3⋊C4—21no—
828Dic3⋊C4—21no—
829Dic3⋊C4—21no—
830Dic3⋊C4C2×D411yescharacteristic
831Dic3⋊C4C2×D411yescharacteristic
832Dic3⋊C4C2×D411yescharacteristic
833Dic3⋊C4C2×D411yescharacteristic
834Dic3⋊C4C2×D411yescharacteristic
835Dic3⋊C4C2×D411yescharacteristic
836Dic3⋊C4C2×D411yescharacteristic
837Dic3⋊C4C2×D411yescharacteristic
838Dic3⋊C4C2×D411yescharacteristic
839Dic3⋊C4C2×D411yescharacteristic
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)—22no—
866D3×C8—22no—
867D3×C8C2×Q814yescomplemented
868C2×#41—31no—
869C2×#41—31no—
870C22×Q8—61no—
871C22×Q8—61no—
872C22×Q8—61no—
873#135—38no—
874C2×Q16—31no—
875C2×SD16—31no—
876C2×SD16—31no—
877C2×D8C22×D311yescharacteristic
878C2×M16—31no—
879C2×M16—31no—
880C22×C8—31no—
881C22×C8—31no—
882C4⋊Q8—31no—
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—61no—
895C4⋊Q8—61no—
896C4⋊Q8—61no—
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⋊Q8C22×D311yescharacteristic
913C4⋊Q8C22×D311yescharacteristic
914#125—31no—
915#125—31no—
916#125—31no—
917#125—31no—
918#125—31no—
919#125—31no—
920#125—31no—
921#125—31no—
922#125—31no—
923#125—31no—
924#125—61no—
925#125—61no—
926#125—61no—
927#125—61no—
928#125—61no—
929#125—61no—
930#125—61no—
931#125—61no—
932#125—61no—
933#125—61no—
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#125C22×D311yescharacteristic
943#125C22×D311yescharacteristic
944#125C22×D311yescharacteristic
945#125C22×D311yescharacteristic
946C22⋊Q8—21no—
947C22⋊Q8—21no—
948C22⋊Q8—21no—
949C22⋊Q8—21no—
950C22⋊Q8—21no—
951C22⋊Q8—21no—
952C22⋊Q8—31no—
953C22⋊Q8—31no—
954C22⋊Q8—31no—
955C22⋊Q8—31no—
956C22⋊Q8—61no—
957C22⋊Q8—61no—
958C22⋊Q8—61no—
959C22⋊Q8—61no—
960C22⋊Q8—61no—
961C22⋊Q8—61no—
962C22⋊Q8—61no—
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—31no—
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—61no—
998C4×Q8—61no—
999C4×Q8—61no—
1000C4×Q8—61no—
1001C4×Q8—61no—
1002C4×Q8—61no—
1003C4×Q8—61no—
1004C4×Q8—61no—
1005C4×Q8C22×D311yescharacteristic
1006C4×D4—31no—
1007C4×D4—31no—
1008C4×D4—31no—
1009C4×D4—31no—
1010C4×D4—31no—
1011C4×D4—31no—
1012C4×D4—61no—
1013C4×D4—61no—
1014C4×D4—61no—
1015C4×D4—61no—
1016C4×D4—61no—
1017C4×D4—61no—
1018C4×D4—61no—
1019C4×D4—61no—
1020C4×D4—61no—
1021C4×D4—61no—
1022C4×D4—61no—
1023C4×D4—61no—
1024C4×D4C22×D311yescharacteristic
1025C4×D4C22×D311yescharacteristic
1026C4×D4C22×D311yescharacteristic
1027C4×D4C22×D311yescharacteristic
1028C4×D4C22×D311yescharacteristic
1029C4×D4C22×D311yescharacteristic
1030#117—31no—
1031#117—31no—
1032#117—31no—
1033#117—31no—
1034#117—61no—
1035#117—61no—
1036#117—61no—
1037#117—61no—
1038#117—61no—
1039#117—61no—
1040C2×C4⋊C4—21no—
1041C2×C4⋊C4—21no—
1042C2×C4⋊C4—31no—
1043C2×C4⋊C4—31no—
1044C2×C4⋊C4—31no—
1045C2×C4⋊C4—31no—
1046C2×C4⋊C4—61no—
1047C2×C4⋊C4—61no—
1048C2×C4⋊C4—61no—
1049C2×C4⋊C4—61no—
1050C2×C4⋊C4—61no—
1051C2×C4⋊C4—61no—
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#107—31no—
1071#107—31no—
1072#107—31no—
1073#107C22×D311yescharacteristic
1074#107C22×D311yescharacteristic
1075#107C22×D311yescharacteristic
1076#107C22×D311yescharacteristic
1077#107C22×D311yescharacteristic
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#106—31no—
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#102—31no—
1121#102—31no—
1122#102—31no—
1123#102—31no—
1124#102—31no—
1125#102—31no—
1126#102C22×D311yescharacteristic
1127#102C22×D311yescharacteristic
1128#102C22×D311yescharacteristic
1129#102C22×D311yescharacteristic
1130#102C22×D311yescharacteristic
1131#102C22×D311yescharacteristic
1132#97—31no—
1133#97—31no—
1134#97—31no—
1135#97—31no—
1136#97—31no—
1137#97—31no—
1138#97C22×D311yescharacteristic
1139#97C22×D311yescharacteristic
1140C4×C8—31no—
1141C4×C8—31no—
1142C4×C8—31no—
1143C4×C8C22×D311yescharacteristic
1144C23×C3—21no—
1145C23×C3—21no—
1146C22×D3C22×D411yescharacteristic
1147C3×Q8—41no—
1148C3×Q8—81no—
1149C3×Q8—81no—
1150C3×D4—21no—
1151C3×D4—21no—
1152C3×D4C22×Q812yes—
1153C3×D4C22×Q812yes—
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×C4—81no—
1164C2×C3×C4—81no—
1165C2×C3×C4—81no—
1166C2×C3×C4C22×D411yescharacteristic
1167C2×C3×C4C22×D411yescharacteristic
1168C2×C3×C4C22×D411yescharacteristic
1169C2×C3×C4C22×D411yescharacteristic
1170C2×C3×C4C22×D411yescharacteristic
1171C2×C3×C4C22×D411yescharacteristic
1172C2×C3×C4C2511yescharacteristic
1173#67—24no—
1174#67—24no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—24no—
1178C2×Dic3—24no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—21no—
1185C2×Dic3—42no—
1186C2×Dic3—81no—
1187C2×Dic3—81no—
1188C2×Dic3—81no—
1189C2×Dic3—81no—
1190C2×Dic3—81no—
1191C2×Dic3C22×D411yescharacteristic
1192C2×Dic3C22×D411yescharacteristic
1193C2×Dic3C22×D411yescharacteristic
1194C2×Dic3C22×D411yescharacteristic
1195C2×Dic3C22×D411yescharacteristic
1196C2×Dic3C22×D411yescharacteristic
1197C2×Dic3C22×D411yescharacteristic
1198C4×D3—41no—
1199C4×D3—41no—
1200C4×D3—81no—
1201C4×D3—81no—
1202C4×D3—81no—
1203C4×D3—81no—
1204C4×D3C22×Q812yes—
1205C4×D32−1+412yes—
1206Dic6—21no—
1207Dic6—21no—
1208Dic6—41no—
1209Dic6—41no—
1210Dic6—41no—
1211Dic6—42no—
1212Dic6—42no—
1213Dic6—81no—
1214Dic6—81no—
1215Dic6—81no—
1216Dic6—81no—
1217Dic6—81no—
1218Dic6—81no—
1219Dic6—81no—
1220Dic6—81no—
1221Dic6C22×Q812yes—
1222Dic6C22×Q812yes—
1223C3×C8—21no—
1224C3×C8—21no—
1225C3×C8—21no—
1226C3×C8C22×Q812yes—
1227C3⋊C8—21no—
1228C3⋊C8—21no—
1229C3⋊C8—21no—
1230C3⋊C8C22×Q812yes—
1231#41—34no—
1232#41—34no—
1233#41—62no—
1234#41—62no—
1235C2×Q8—21no—
1236C2×Q8—21no—
1237C2×Q8—31no—
1238C2×Q8—31no—
1239C2×Q8—31no—
1240C2×Q8—31no—
1241C2×Q8—31no—
1242C2×Q8—61no—
1243C2×Q8—61no—
1244C2×Q8—61no—
1245C2×Q8—61no—
1246C2×Q8—61no—
1247C2×Q8—61no—
1248C2×Q8—61no—
1249C2×Q8—61no—
1250C2×Q8—61no—
1251C2×Q8—61no—
1252C2×Q8—242no—
1253C2×Q8—242no—
1254C2×Q8—242no—
1255C2×Q8D3×D411yescharacteristic
1256C2×D4—61no—
1257C2×D4—61no—
1258C2×D4C23×D311yescharacteristic
1259C2×D4C23×D311yescharacteristic
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—31no—
1267C22×C4—31no—
1268C22×C4—31no—
1269C22×C4—61no—
1270C22×C4—61no—
1271C22×C4—61no—
1272C22×C4—61no—
1273C22×C4—61no—
1274C22×C4—61no—
1275C22×C4—61no—
1276C22×C4—61no—
1277C22×C4—61no—
1278C22×C4—61no—
1279C22×C4—61no—
1280C22×C4—61no—
1281Q16—34no—
1282SD16—34no—
1283SD16—34no—
1284D8D3×Q814yescomplemented
1285M16—62no—
1286M16—62no—
1287C2×C8—31no—
1288C2×C8—34no—
1289C2×C8—31no—
1290C2×C8—31no—
1291C2×C8—31no—
1292C2×C8—62no—
1293C2×C8C23×D311yescharacteristic
1294C2×C8C23×D311yescharacteristic
1295C2×C8C23×D311yescharacteristic
1296C2×C8C23×D311yescharacteristic
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
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—31no—
1320C4⋊C4—31no—
1321C4⋊C4—31no—
1322C4⋊C4—31no—
1323C4⋊C4—31no—
1324C4⋊C4—31no—
1325C4⋊C4—31no—
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⋊C4—61no—
1362C4⋊C4—61no—
1363C4⋊C4—61no—
1364C4⋊C4—61no—
1365C4⋊C4—61no—
1366C4⋊C4—61no—
1367C4⋊C4—61no—
1368C4⋊C4D3×D411yescharacteristic
1369C4⋊C4D3×D411yescharacteristic
1370C4⋊C4D3×D411yescharacteristic
1371C4⋊C4C23×D311yescharacteristic
1372C4⋊C4C23×D311yescharacteristic
1373C4⋊C4C23×D311yescharacteristic
1374C4⋊C4C23×D311yescharacteristic
1375C4⋊C4C23×D311yescharacteristic
1376C4⋊C4C23×D311yescharacteristic
1377C22⋊C4—21no—
1378C22⋊C4—21no—
1379C22⋊C4—21no—
1380C22⋊C4—21no—
1381C22⋊C4—21no—
1382C22⋊C4—21no—
1383C22⋊C4—31no—
1384C22⋊C4—31no—
1385C22⋊C4—31no—
1386C22⋊C4—31no—
1387C22⋊C4—61no—
1388C22⋊C4—61no—
1389C22⋊C4—61no—
1390C22⋊C4—61no—
1391C22⋊C4—61no—
1392C22⋊C4—61no—
1393C22⋊C4—61no—
1394C22⋊C4—61no—
1395C42—31no—
1396C42—31no—
1397C42—31no—
1398C42—31no—
1399C42—31no—
1400C42—61no—
1401C42—61no—
1402C42—61no—
1403C42—61no—
1404C42—61no—
1405C42—61no—
1406C42—61no—
1407C42—61no—
1408C42—61no—
1409C42—61no—
1410C42—61no—
1411C42—61no—
1412C42—61no—
1413C42—61no—
1414C42C23×D311yescharacteristic
1415C42C23×D311yescharacteristic
1416C42C23×D311yescharacteristic
1417C22×C3—22no—
1418C22×C3—22no—
1419C22×C3—41no—
1420C22×C3—41no—
1421C22×C3—41no—
1422C22×C3—41no—
1423C22×C3C23×D411yescharacteristic
1424C2×D3—21no—
1425C2×D3—21no—
1426C2×D3D4×Q812yes—
1427C3×C4—21no—
1428C3×C4—21no—
1429C3×C4—21no—
1430C3×C4—21no—
1431C3×C4—21no—
1432C3×C4—21no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4—41no—
1439C3×C4C23×Q811yescharacteristic
1440C3×C4C2×2−1+411yescharacteristic
1441Dic3—21no—
1442Dic3—21no—
1443Dic3—21no—
1444Dic3—21no—
1445Dic3—21no—
1446Dic3—21no—
1447Dic3—22no—
1448Dic3—22no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455Dic3D4×Q812yes—
1456C23—21no—
1457C23—21no—
1458C23—31no—
1459Q8—32no—
1460Q8—32no—
1461Q8—41no—
1462Q8—61no—
1463Q8—61no—
1464Q8—81no—
1465Q8—81no—
1466Q8—121no—
1467Q8—121no—
1468Q8—121no—
1469Q8—122no—
1470Q8—122no—
1471Q8—241no—
1472Q8—241no—
1473Q8—241no—
1474Q8—241no—
1475Q8—241no—
1476Q8—241no—
1477Q8—241no—
1478Q8—241no—
1479D4—21no—
1480D4—21no—
1481D4—64no—
1482D4—64no—
1483D4C2×D3×Q812yes—
1484D4C2×D3×Q812yes—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—31no—
1492C2×C4—32no—
1493C2×C4—32no—
1494C2×C4—31no—
1495C2×C4—31no—
1496C2×C4—31no—
1497C2×C4—31no—
1498C2×C4—31no—
1499C2×C4—31no—
1500C2×C4—42no—
1501C2×C4—64no—
1502C2×C4—64no—
1503C2×C4—61no—
1504C2×C4—61no—
1505C2×C4—61no—
1506C2×C4—61no—
1507C2×C4—61no—
1508C2×C4—61no—
1509C2×C4—61no—
1510C2×C4—61no—
1511C2×C4—81no—
1512C2×C4—81no—
1513C2×C4—81no—
1514C2×C4—81no—
1515C2×C4—81no—
1516C2×C4—121no—
1517C2×C4—121no—
1518C2×C4—122no—
1519C2×C4—241no—
1520C2×C4—241no—
1521C2×C4—241no—
1522C2×C4—241no—
1523C2×C4—241no—
1524C2×C4—241no—
1525C2×C4—241no—
1526C2×C4—241no—
1527C2×C4—241no—
1528C2×C4C2×D3×D411yescharacteristic
1529C2×C4C2×D3×D411yescharacteristic
1530C2×C4C2×D3×D411yescharacteristic
1531C2×C4C2×D3×D411yescharacteristic
1532C2×C4C2×D3×D411yescharacteristic
1533C2×C4C2×D3×D411yescharacteristic
1534C2×C4C24×D311yescharacteristic
1535C8—21no—
1536C8—21no—
1537C8—21no—
1538C8—32no—
1539C8—61no—
1540C8—61no—
1541C8—61no—
1542C8C2×D3×Q812yes—
1543C2×C3—42no—
1544C2×C3—42no—
1545C2×C3C2×D4×Q811yescharacteristic
1546C2×C3#358511yescharacteristic
1547C2×C3#358611yescharacteristic
1548D3—22no—
1549C22—22no—
1550C22—22no—
1551C22—32no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—61no—
1557C22—61no—
1558C22C22×D3×D411yescharacteristic
1559C4—21no—
1560C4—21no—
1561C4—21no—
1562C4—21no—
1563C4—21no—
1564C4—21no—
1565C4—32no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—61no—
1573C4—61no—
1574C4—61no—
1575C4—61no—
1576C4—61no—
1577C4—61no—
1578C4—62no—
1579C4—62no—
1580C4—121no—
1581C4—121no—
1582C4—121no—
1583C4—121no—
1584C4—121no—
1585C4—121no—
1586C4C22×D3×Q811yescharacteristic
1587C4D3×2−1+411yescharacteristic
1588C3#6138011yescharacteristic, complemented, Sylow
1589C2—42no—
1590C2—42no—
1591C2—62no—
1592C2D3×D4×Q811yescharacteristic
1593C2#8720111yescharacteristic
1594C2#8720411yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3389C2
socleC22×C3C23×D4
prime radicalC2×#912C22
hypercenter#3389D3
hypocenterC3#61380
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

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

NH ≅ G/Ntype
1. #86927C2semidirect
2. #86926C2semidirect
3. C3×#3389C2semidirect
4. #83632C2semidirect
5. #83631C2semidirect
6. #81975C2semidirect
7. D3×#501C2semidirect
8. #81971C2semidirect
9. #81967C2semidirect
10. #81932C2semidirect
11. #81917C2semidirect
12. #81171C2semidirect
13. #81171C2semidirect
14. #81170C2semidirect
15. #81167C2semidirect
16. #81161C2semidirect
17. #81161C2semidirect
18. #81160C2semidirect
19. #81159C2semidirect
20. #80968C2semidirect
21. #80966C2semidirect
22. #80961C2semidirect
23. #80960C2semidirect
24. #79986C2semidirect
25. #79959C2semidirect
28. #79856C2semidirect
29. #79855C2semidirect
31. #79576C2semidirect
209. #3389D3semidirect
303. #912Q8semidirect
707. #237C2×Q8semidirect
732. C3×D8C2×Q8semidirect
771. #214C2×Q8semidirect
772. #214C2×Q8semidirect
863. Dic12C2×Q8semidirect
867. D3×C8C2×Q8semidirect
1284. D8D3×Q8semidirect
1588. C3#61380semidirect

Maximal subgroups

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

subgroupindex
#869272
#869262
C3×#33892
#836322
#836312
#819752
D3×#5012
#819712
#819672
#819322
#819172
#811712
#811702
#811672
#811612
#811602
#811592
#809682
#809662
#809612
#809602
#799862
#799592
#798682
#798642
#798562
#798552
#795892
#795762
#613803