Finite Group Databasebeta

← #11692206

Subgroups — #11692206

Order 768.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86943C211yesmaximal, characteristic
2#86752C211yesmaximal, characteristic
3C3×#3299C211yesmaximal, characteristic, complemented
4#83624C211yesmaximal, characteristic, complemented
5#83552C211yesmaximal, characteristic, complemented
6#81627C211yesmaximal, characteristic, complemented
7#81611C211yesmaximal, characteristic, complemented
8#81479C211yesmaximal, characteristic, complemented
9#81465C211yesmaximal, characteristic, complemented
10#81463C211yesmaximal, characteristic, complemented
11#81460C211yesmaximal, characteristic, complemented
12#81110C211yesmaximal, characteristic, complemented
13#81105C211yesmaximal, characteristic, complemented
14#80756C211yesmaximal, characteristic, complemented
15#80752C211yesmaximal, characteristic, complemented
16#80750C211yesmaximal, characteristic, complemented
17#80747C211yesmaximal, characteristic, complemented
18#80488C211yesmaximal, characteristic, complemented
19#80466C211yesmaximal, characteristic, complemented
20#80196C211yesmaximal, characteristic, complemented
21#80195C211yesmaximal, characteristic, complemented
22#80177C211yesmaximal, characteristic, complemented
23#80174C211yesmaximal, characteristic, complemented
24#79724C211yesmaximal, characteristic, complemented
25#79709C211yesmaximal, characteristic, complemented
26#79413C211yesmaximal, characteristic, complemented
27#79407C211yesmaximal, characteristic
28#78810C211yesmaximal, characteristic, complemented
29#78806C211yesmaximal, characteristic, complemented
30#78779C211yesmaximal, characteristic, complemented
31C2×#4796C211yesmaximal, characteristic, complemented
32#62168—31nomaximal, Sylow
33C3×#554C2211yescharacteristic
34C3×D4×Q8C2211yescharacteristic
35Q8×#67C2211yescharacteristic
36Q8×#67C2211yescharacteristic
37#5812C2211yescharacteristic
38C2×Q8×Dic3C2211yescharacteristic
39#5731—21no—
40#5731C2211yescharacteristic
41#5729C2211yescharacteristic
42#5721—21no—
43#5721C2211yescharacteristic
44#5721C2211yescharacteristic
45#5696—21no—
46C3⋊#564—21no—
47#5646—21no—
48#5642—21no—
49#5642—21no—
50#5642C2211yescharacteristic
51#5642C2211yescharacteristic
52#5641—21no—
53#5641C2211yescharacteristic
54#5639C2211yescharacteristic
55#5625—21no—
56#5625—21no—
57#5625C2211yescharacteristic
58#5625C2211yescharacteristic
59#5623—21no—
60#5622—21no—
61#5622C2211yescharacteristic
62#5622C2211yescharacteristic
63#5583C2211yescharacteristic
64#5572C2211yescharacteristic
65#5569C2211yescharacteristic
66#5569C2211yescharacteristic
67#5564—21no—
68#5541—21no—
69#5541—21no—
70#5541C2211yescharacteristic
71#5541C2211yescharacteristic
72#5538—21no—
73#5538C2211yescharacteristic
74#5513C2211yescharacteristic
75#5511C2211yescharacteristic
76#5500C2211yescharacteristic
77C2×#890C2211yescharacteristic
78C3×#487C2211yescharacteristic
79C3×#484C2211yescharacteristic
80C3×#484C2211yescharacteristic
81C3×#477C2211yescharacteristic
82C3×#467C2211yescharacteristic
83C3×#467C2211yescharacteristic
84C3×#462C2211yescharacteristic
85C3×#451C2211yescharacteristic
86C3×#451C2211yescharacteristic
87C3×C4×Q16C2211yescharacteristic
88C3×C8×D4C2211yescharacteristic
89C2×C3×#103C2211yescharacteristic
90C2×C3×#103C2211yescharacteristic
91#5228C2211yescharacteristic
92#5228C2211yescharacteristic
93#5225C2211yescharacteristic
94C2×#835C2211yescharacteristic
95#5189C2211yescharacteristic
96#5188C2211yescharacteristic
97#5186C2211yescharacteristic
98#5184C2211yescharacteristic
99#5184C2211yescharacteristic
100#5184C2211yescharacteristic
101#5182C2211yescharacteristic
102#5182C2211yescharacteristic
103#5182C2211yescharacteristic
104#5182C2211yescharacteristic
105#5182C2211yescharacteristic
106Dic3×Q16C2211yescharacteristic
107#5116C2211yescharacteristic
108#5116C2211yescharacteristic
109#5111C2211yescharacteristic
110C8×#67C2211yescharacteristic
111#5106C2211yescharacteristic
112C2×#818C2211yescharacteristic
113#5102C2211yescharacteristic
114C2×Dic3⋊C8C2211yescharacteristic
115#5094C2211yescharacteristic
116#5090C2211yescharacteristic
117#5082C2211yescharacteristic
118#5081C2211yescharacteristic
119#5052C2211yescharacteristic
120#5052C2211yescharacteristic
121#5051C2211yescharacteristic
122#5051C2211yescharacteristic
123#5045C2211yescharacteristic
124#5045C2211yescharacteristic
125#5043C2211yescharacteristic
126#5043C2211yescharacteristic
127#5030C2211yescharacteristic
128#5030C2211yescharacteristic
129#5022C2211yescharacteristic
130#5022C2211yescharacteristic
131#5011C2211yescharacteristic
132#4971C2211yescharacteristic
133#4970C2211yescharacteristic
134#4964C2211yescharacteristic
135C2×#808C2211yescharacteristic
136#4888C2211yescharacteristic
137#4881C2211yescharacteristic
138#4880C2211yescharacteristic
139#4878C2211yescharacteristic
140#4877C2211yescharacteristic
141#4877C2211yescharacteristic
142#4877C2211yescharacteristic
143#4876C2211yescharacteristic
144#4876C2211yescharacteristic
145#4876C2211yescharacteristic
146#4875C2211yescharacteristic
147#4875C2211yescharacteristic
148#4839C2211yescharacteristic
149#4829C2211yescharacteristic
150#4829C2211yescharacteristic
151#4828C2211yescharacteristic
152#4816C2211yescharacteristic
153#4815C2211yescharacteristic
154#4814C2211yescharacteristic
155#4814C2211yescharacteristic
156#4813C2211yescharacteristic
157#4811C2211yescharacteristic
158#4809C2211yescharacteristic
159#4805C2211yescharacteristic
160#4802C2211yescharacteristic
161D3×#103C2211yescharacteristic
162#4799C2211yescharacteristic
163#4799C2211yescharacteristic
164#4799C2211yescharacteristic
165#4797C2211yescharacteristic
166#4797C2211yescharacteristic
167#4797C2211yescharacteristic
168#4796C2211yescharacteristic
169#4796C2211yescharacteristic
170#4796C2211yescharacteristic
171#4796C2211yescharacteristic
172#4796C2211yescharacteristic
173#4796C2211yescharacteristic
174#4796C2211yescharacteristic
175#4796C2211yescharacteristic
176#4796C2211yescharacteristic
177#4796C2211yescharacteristic
178#4795C2211yescharacteristic
179#4795C2211yescharacteristic
180#4795C2211yescharacteristic
181#4793C2211yescharacteristic
182#4793C2211yescharacteristic
183#4793C2211yescharacteristic
184#4792C2211yescharacteristic
185#4791C2211yescharacteristic
186#4791C2211yescharacteristic
187#4791C2211yescharacteristic
188#4790C2211yescharacteristic
189#4789C2211yescharacteristic
190#4789C2211yescharacteristic
191#4789C2211yescharacteristic
192#4730C2211yescharacteristic
193#4728C2211yescharacteristic
194#4723C2211yescharacteristic
195#4723C2211yescharacteristic
196#4721C2211yescharacteristic
197#4721C2211yescharacteristic
198#4720C2211yescharacteristic
199#4719C2211yescharacteristic
200C4×Dic12C2211yescharacteristic
201#4690C2211yescharacteristic
202#4683C2211yescharacteristic
203#4679C2211yescharacteristic
204#3563—31no—
205#3523—31no—
206#3390—31no—
207#3390—31no—
208#3374—31no—
209#3374—31no—
210#3349—31no—
211#3349—31no—
212#3344—31no—
213#3344—31no—
214#3336—31no—
215#3336—31no—
216#3312—31no—
217#3312—31no—
218#3312—31no—
219#3312—31no—
220#3299—31no—
221#3299D311yescharacteristic, complemented
222#3261—31no—
223#3261—31no—
224#3249—31no—
225#3242—31no—
226#3242—31no—
227#3236—31no—
228#3127—31no—
229#3127—31no—
230#3113—31no—
231#3082—31no—
232#3082—31no—
233C2×#479—31no—
234#2992—31no—
235C22×C3×Q8C2311yescharacteristic
236C22×C3×Q8C2311yescharacteristic
237C2×D3×Q8C2311yescharacteristic
238C2×C3×Q16C2311yescharacteristic
239C2×C3×Q16C2311yescharacteristic
240C2×C3×Q16C2311yescharacteristic
241C22×C3×C8C2311yescharacteristic
242C22×C3×C8C2311yescharacteristic
243C3×C4⋊Q8—21no—
244C3×C4⋊Q8C2311yescharacteristic
245C3×C4⋊Q8C2311yescharacteristic
246C3×#125—21no—
247C3×C22⋊Q8—21no—
248C3×C22⋊Q8—21no—
249C3×C22⋊Q8—21no—
250C3×C22⋊Q8—21no—
251C3×C22⋊Q8C2311yescharacteristic
252C3×C22⋊Q8C2311yescharacteristic
253C3×C22⋊Q8C2311yescharacteristic
254C3×C22⋊Q8C2311yescharacteristic
255C3×C4×Q8C2311yescharacteristic
256C3×C4×Q8C2311yescharacteristic
257C3×C4×D4—21no—
258C3×C4×D4—21no—
259C3×C4×D4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262#946—21no—
263#946—21no—
264#946—21no—
265#946C2311yescharacteristic
266#946C2311yescharacteristic
267#946C2311yescharacteristic
268Q8×Dic3—21no—
269Q8×Dic3—21no—
270Q8×Dic3—21no—
271Q8×Dic3—21no—
272Q8×Dic3—21no—
273Q8×Dic3C2311yescharacteristic
274Q8×Dic3C2311yescharacteristic
275Q8×Dic3C2311yescharacteristic
276Q8×Dic3C2311yescharacteristic
277Q8×Dic3C2311yescharacteristic
278Q8×Dic3C2311yescharacteristic
279Q8×Dic3C2311yescharacteristic
280Q8×Dic3C2311yescharacteristic
281Q8×Dic3C2311yescharacteristic
282#944—21no—
283#944—21no—
284#944—21no—
285#944—21no—
286#944C2311yescharacteristic
287#944C2311yescharacteristic
288#944C2311yescharacteristic
289C2×#216C2311yescharacteristic
290C2×#216C2311yescharacteristic
291C2×#216C2311yescharacteristic
292C2×#216C2311yescharacteristic
293#939D411yescharacteristic
294#935—21no—
295#935—21no—
296#935D411yescharacteristic
297#929—21no—
298C4×#67—21no—
299C4×#67—21no—
300C4×#67—21no—
301C4×#67C2311yescharacteristic
302C4×#67C2311yescharacteristic
303#926—21no—
304#926—21no—
305#926—21no—
306#926C2311yescharacteristic
307#926C2311yescharacteristic
308#926C2311yescharacteristic
309C2×C4⋊Dic3—21no—
310C2×C4⋊Dic3—21no—
311C2×C4⋊Dic3C2311yescharacteristic
312C2×C4⋊Dic3C2311yescharacteristic
313#924—21no—
314#924—21no—
315#924—21no—
316#924—21no—
317#924—21no—
318#924C2311yescharacteristic
319#924C2311yescharacteristic
320#924C2311yescharacteristic
321#924C2311yescharacteristic
322C2×Dic3⋊C4—21no—
323C2×C4×Dic3—21no—
324C2×C4×Dic3C2311yescharacteristic
325C2×#208C2311yescharacteristic
326C22×C3⋊C8C2311yescharacteristic
327C2×Dic12C2311yescharacteristic
328C2×ΓL(1,𝔽25)C2311yescharacteristic
329C2×D3×C8C2311yescharacteristic
330#898—21no—
331#898—21no—
332#898—21no—
333#898—21no—
334#898—21no—
335#898—21no—
336#898—21no—
337#898D411yescharacteristic
338#897C2311yescharacteristic
339#896—21no—
340#896—21no—
341#892—21no—
342#892—21no—
343#892C2311yescharacteristic
344#892C2311yescharacteristic
345D3×C4⋊C4C2311yescharacteristic
346#890—21no—
347#890—21no—
348#890—21no—
349#890—21no—
350#890—21no—
351#890—21no—
352#890—21no—
353#890—21no—
354#890—21no—
355#890—21no—
356#890C2311yescharacteristic
357#890C2311yescharacteristic
358#890C2311yescharacteristic
359#890C2311yescharacteristic
360#890C2311yescharacteristic
361#890C2311yescharacteristic
362#889—21no—
363#889—21no—
364#889—21no—
365#889—21no—
366#889—21no—
367#889—21no—
368#889—21no—
369#889—21no—
370#889—21no—
371#889—21no—
372#889—21no—
373#889—21no—
374#889—21no—
375#889—21no—
376#889—21no—
377#889—21no—
378#889—21no—
379#889D411yescharacteristic
380#888—21no—
381#888—21no—
382#888—21no—
383#888C2311yescharacteristic
384#888C2311yescharacteristic
385#888C2311yescharacteristic
386#887—21no—
387#887—21no—
388#887—21no—
389#887—21no—
390#887—21no—
391#887C2311yescharacteristic
392#887C2311yescharacteristic
393#887C2311yescharacteristic
394#886—21no—
395#886—21no—
396#886D411yescharacteristic
397#885—21no—
398#885D411yescharacteristic
399#883—21no—
400#879—21no—
401#879—21no—
402#879—21no—
403#879—21no—
404#879—21no—
405#879—21no—
406#879—21no—
407#879—21no—
408#879D411yescharacteristic
409#878—21no—
410#878—21no—
411#878D411yescharacteristic
412#877—21no—
413#877—21no—
414#877—21no—
415#877—21no—
416#877—21no—
417#877—21no—
418#876—21no—
419#872—21no—
420#872C2311yescharacteristic
421#870—21no—
422#870—21no—
423#870—21no—
424#870C2311yescharacteristic
425#870C2311yescharacteristic
426C4×Dic6—21no—
427C4×Dic6—21no—
428C4×Dic6—21no—
429C4×Dic6C2311yescharacteristic
430C4×Dic6C2311yescharacteristic
431C4×Dic6C2311yescharacteristic
432C3×#107C2311yescharacteristic
433C3×#107C2311yescharacteristic
434C3×#107C2311yescharacteristic
435C3×C4⋊C8C2311yescharacteristic
436C3×#103C2311yescharacteristic
437C3×#103C2311yescharacteristic
438C3×#103C2311yescharacteristic
439C3×#103C2311yescharacteristic
440C3×#103C2311yescharacteristic
441C3×#103C2311yescharacteristic
442C3×#103C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×C22⋊C8C2311yescharacteristic
447C3×C22⋊C8C2311yescharacteristic
448C3×C4×C8C2311yescharacteristic
449#835C2311yescharacteristic
450#835C2311yescharacteristic
451#835C2311yescharacteristic
452#835C2311yescharacteristic
453#835C2311yescharacteristic
454#835C2311yescharacteristic
455#835C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#830C2311yescharacteristic
462#830C2311yescharacteristic
463(C2×D3)⋊C8C2311yescharacteristic
464(C2×D3)⋊C8C2311yescharacteristic
465#818C2311yescharacteristic
466#818C2311yescharacteristic
467#818C2311yescharacteristic
468#818C2311yescharacteristic
469#818C2311yescharacteristic
470#817C2311yescharacteristic
471#817C2311yescharacteristic
472#817C2311yescharacteristic
473#817C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#816C2311yescharacteristic
480#815C2311yescharacteristic
481#815C2311yescharacteristic
482#815C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487Dic3⋊C8C2311yescharacteristic
488Dic3⋊C8C2311yescharacteristic
489Dic3⋊C8C2311yescharacteristic
490Dic3⋊C8C2311yescharacteristic
491C8×Dic3C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#808C2311yescharacteristic
497#808C2311yescharacteristic
498#808C2311yescharacteristic
499#808C2311yescharacteristic
500#808C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507#807C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509#803C2311yescharacteristic
510#564—61no—
511#563—61no—
512#557—31no—
513#557—31no—
514#557—31no—
515#557—31no—
516#557—61no—
517#556—31no—
518#556—61no—
519#554—31no—
520#554C2×D311yescharacteristic
521#552—31no—
522#552—31no—
523#552—31no—
524#552—31no—
525#552—31no—
526#552—31no—
527#552—61no—
528#552—61no—
529#552—61no—
530#552—61no—
531D4×Q8—31no—
532D4×Q8—31no—
533D4×Q8C2×D311yescharacteristic
534#544—31no—
535#544—31no—
536#544—61no—
537#541—31no—
538#541—31no—
539#541—31no—
540#541—31no—
541#541—61no—
542#541—61no—
543#541—61no—
544#541—61no—
545#539—61no—
546#533—31no—
547#533—31no—
548#533—61no—
549#529—31no—
550#529—61no—
551C2×#125—31no—
552#519—31no—
553#519—31no—
554C2×C4×Q8—31no—
555#501—31no—
556#501—31no—
557#501—31no—
558#501—31no—
559#499—31no—
560#499—31no—
561#491—31no—
562#491—31no—
563#491—31no—
564#491—31no—
565#487—31no—
566#487C2×D311yescharacteristic
567#485—31no—
568#485—31no—
569#485—31no—
570#485—31no—
571#485—31no—
572#485—31no—
573#485—31no—
574#485—31no—
575#484—31no—
576#484—31no—
577#484C2×D311yescharacteristic
578#484C2×D311yescharacteristic
579#483—31no—
580#483—31no—
581#483—31no—
582#483—31no—
583#483—31no—
584#483—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#479—31no—
594#479—31no—
595#479—31no—
596#479—31no—
597#479—31no—
598#479—31no—
599#479—31no—
600#479—31no—
601#479—31no—
602#479—31no—
603#479—31no—
604#479—31no—
605#477—31no—
606#477—31no—
607#477—31no—
608#477—31no—
609#477—31no—
610#477C2×D311yescharacteristic
611#475—31no—
612#475—31no—
613#475—31no—
614#475—31no—
615#470—31no—
616#470—31no—
617#470—31no—
618#470—31no—
619#467—31no—
620#467—31no—
621#467—31no—
622#467—31no—
623#467—31no—
624#467—31no—
625#467C2×D311yescharacteristic
626#467C2×D311yescharacteristic
627#462—31no—
628#462—31no—
629#462—31no—
630#462—31no—
631#462—31no—
632#462—31no—
633#462—31no—
634#462—31no—
635#462—31no—
636#462C2×D311yescharacteristic
637#451—31no—
638#451—31no—
639#451—31no—
640#451—31no—
641#451C2×D311yescharacteristic
642#451C2×D311yescharacteristic
643#446—31no—
644#446—31no—
645#441—31no—
646#441—31no—
647#441—31no—
648#441—31no—
649#441—31no—
650#441—31no—
651#441—31no—
652#441—31no—
653C4×Q16—31no—
654C4×Q16—31no—
655C4×Q16—31no—
656C4×Q16C2×D311yescharacteristic
657#435—31no—
658#435—31no—
659#435—31no—
660#435—31no—
661C8×D4—31no—
662C8×D4C2×D311yescharacteristic
663#433—31no—
664#433—31no—
665#432—31no—
666#428—31no—
667#428—31no—
668#427—31no—
669#427—31no—
670C2×#107—31no—
671C2×#106—31no—
672#424—31no—
673#424—31no—
674C2×C4⋊C8—31no—
675#419—31no—
676#419—31no—
677C2×#103—31no—
678C2×#103—31no—
679C2×#103C2×D311yescharacteristic
680C2×#103C2×D311yescharacteristic
681C2×C3×Q8—21no—
682C2×C3×Q8—21no—
683C2×C3×Q8—21no—
684C2×C3×Q8—22no—
685C2×C3×Q8—22no—
686C2×C3×Q8—41no—
687C2×C3×Q8—41no—
688C2×C3×Q8C2411yescharacteristic
689C2×C3×Q8C2411yescharacteristic
690C2×C3×Q8C2411yescharacteristic
691C2×C3×Q8C2411yescharacteristic
692C2×C3×D4C2×D411yescharacteristic
693C22×C3×C4—21no—
694C22×C3×C4—21no—
695C22×C3×C4—21no—
696C22×C3×C4—21no—
697C22×C3×C4C2411yescharacteristic
698C22×C3×C4C2411yescharacteristic
699C2×#67C2×D411yescharacteristic
700C2×#67C2×D411yescharacteristic
701C22×Dic3—21no—
702C22×Dic3—21no—
703C22×Dic3C2×D411yescharacteristic
704C22×Dic3C2×D411yescharacteristic
705D3×Q8—22no—
706D3×Q8—41no—
707C2×C4×D3—21no—
708C2×C4×D3—21no—
709C2×C4×D3C2411yescharacteristic
710C2×Dic6—21no—
711C2×Dic6—21no—
712C2×Dic6—21no—
713C2×Dic6—21no—
714C2×Dic6C2×D411yescharacteristic
715C2×Dic6C2411yescharacteristic
716C2×Dic6C2411yescharacteristic
717C3×Q16—22no—
718C3×Q16—41no—
719C3×Q16—41no—
720C2×C3×C8—41no—
721C2×C3×C8—41no—
722C2×C3×C8C2411yescharacteristic
723C2×C3×C8C2411yescharacteristic
724C2×C3×C8C2411yescharacteristic
725C2×C3×C8C2411yescharacteristic
726C3×C4⋊C4—21no—
727C3×C4⋊C4—21no—
728C3×C4⋊C4—21no—
729C3×C4⋊C4—21no—
730C3×C4⋊C4—21no—
731C3×C4⋊C4—21no—
732C3×C4⋊C4—21no—
733C3×C4⋊C4—21no—
734C3×C4⋊C4—21no—
735C3×C4⋊C4—21no—
736C3×C4⋊C4—21no—
737C3×C4⋊C4C2×D411yescharacteristic
738C3×C4⋊C4C2411yescharacteristic
739C3×C4⋊C4C2411yescharacteristic
740C3×C4⋊C4C2411yescharacteristic
741C3×C4⋊C4C2411yescharacteristic
742C3×C22⋊C4—21no—
743C3×C22⋊C4—21no—
744C3×C22⋊C4—21no—
745C3×C22⋊C4—21no—
746C3×C22⋊C4C2×D411yescharacteristic
747C3×C22⋊C4C2×D411yescharacteristic
748C3×C42—21no—
749C3×C42—21no—
750C3×C42C2411yescharacteristic
751#217—21no—
752#217—21no—
753#217—21no—
754#217—21no—
755#217—21no—
756#217—21no—
757#217C2×D411yescharacteristic
758#217C2×D411yescharacteristic
759#217C2×D411yescharacteristic
760#217C2×D411yescharacteristic
761#216—22no—
762#216—41no—
763#216—41no—
764#216—41no—
765(C2×D3)⋊C4—21no—
766(C2×D3)⋊C4—21no—
767(C2×D3)⋊C4—21no—
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⋊Dic3—21no—
787C4⋊Dic3—21no—
788C4⋊Dic3—21no—
789C4⋊Dic3—21no—
790C4⋊Dic3—21no—
791C4⋊Dic3—21no—
792C4⋊Dic3—21no—
793C4⋊Dic3C2×D411yescharacteristic
794C4⋊Dic3C2×D411yescharacteristic
795C4⋊Dic3C2×D411yescharacteristic
796C4⋊Dic3C2411yescharacteristic
797C4⋊Dic3C2411yescharacteristic
798C4⋊Dic3C2411yescharacteristic
799C4⋊Dic3C2411yescharacteristic
800C4⋊Dic3C2411yescharacteristic
801C4⋊Dic3C2411yescharacteristic
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⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
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×Dic3—21no—
855C4×Dic3—21no—
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3C2×D411yescharacteristic
859C4×Dic3C2×D411yescharacteristic
860C4×Dic3C2411yescharacteristic
861C4×Dic3C2411yescharacteristic
862C4×Dic3C2411yescharacteristic
863#208—41no—
864C2×C3⋊C8—41no—
865C2×C3⋊C8C2411yescharacteristic
866C2×C3⋊C8C2411yescharacteristic
867C2×C3⋊C8C2411yescharacteristic
868C2×C3⋊C8C2411yescharacteristic
869Dic12—41no—
870ΓL(1,𝔽25)—41no—
871D3×C8—41no—
872C22×Q8—31no—
873C22×Q8C22×D311yescharacteristic
874C22×Q8C22×D311yescharacteristic
875C2×Q16—31no—
876C2×Q16—31no—
877C2×Q16—31no—
878C2×Q16—31no—
879C2×Q16—31no—
880C2×Q16C22×D311yescharacteristic
881C2×Q16C22×D311yescharacteristic
882C2×Q16C22×D311yescharacteristic
883C2×M16—31no—
884C2×M16—31no—
885C22×C8—31no—
886C22×C8—31no—
887C22×C8C22×D311yescharacteristic
888C22×C8C22×D311yescharacteristic
889C4⋊Q8—21no—
890C4⋊Q8—31no—
891C4⋊Q8—31no—
892C4⋊Q8—31no—
893C4⋊Q8—31no—
894C4⋊Q8—31no—
895C4⋊Q8—31no—
896C4⋊Q8—61no—
897C4⋊Q8—61no—
898C4⋊Q8—61no—
899C4⋊Q8—61no—
900C4⋊Q8—61no—
901C4⋊Q8—61no—
902C4⋊Q8—61no—
903C4⋊Q8C22×D311yescharacteristic
904C4⋊Q8C22×D311yescharacteristic
905#126—31no—
906#126—31no—
907#126—61no—
908#126—61no—
909#126—61no—
910#126—61no—
911#126—61no—
912#126—61no—
913#126—61no—
914#126—61no—
915#126—61no—
916#126—61no—
917#126—61no—
918#126—61no—
919#126—61no—
920#126—61no—
921#126—61no—
922#126—61no—
923#125—21no—
924#125—31no—
925#125—31no—
926#125—31no—
927#125—31no—
928#125—31no—
929#125—31no—
930#125—31no—
931#125—31no—
932#125—31no—
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#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#125—61no—
953#125—61no—
954#125—61no—
955#125—61no—
956#125—61no—
957#125—61no—
958#125—61no—
959#125—61no—
960#125—61no—
961#125—61no—
962#125—61no—
963#124—31no—
964#124—61no—
965#123—31no—
966#123—31no—
967#123—61no—
968#123—61no—
969#123—61no—
970#123—61no—
971#123—61no—
972#123—61no—
973C22⋊Q8—21no—
974C22⋊Q8—21no—
975C22⋊Q8—21no—
976C22⋊Q8—21no—
977C22⋊Q8—31no—
978C22⋊Q8—31no—
979C22⋊Q8—31no—
980C22⋊Q8—31no—
981C22⋊Q8—31no—
982C22⋊Q8—31no—
983C22⋊Q8—31no—
984C22⋊Q8—31no—
985C22⋊Q8—31no—
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⋊Q8C22×D311yescharacteristic
999C22⋊Q8C22×D311yescharacteristic
1000C22⋊Q8C22×D311yescharacteristic
1001C22⋊Q8C22×D311yescharacteristic
1002#121—31no—
1003C4×Q8—31no—
1004C4×Q8—31no—
1005C4×Q8—31no—
1006C4×Q8—31no—
1007C4×Q8—31no—
1008C4×Q8—31no—
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—61no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8—61no—
1028C4×Q8—61no—
1029C4×Q8—61no—
1030C4×Q8—61no—
1031C4×Q8C22×D311yescharacteristic
1032C4×Q8C22×D311yescharacteristic
1033C4×D4—21no—
1034C4×D4—21no—
1035C4×D4—31no—
1036C4×D4—31no—
1037C4×D4—61no—
1038C4×D4—61no—
1039C4×D4—61no—
1040C4×D4C22×D311yescharacteristic
1041#117—31no—
1042#117—31no—
1043#117—31no—
1044#117—31no—
1045#117—31no—
1046#117—31no—
1047#117—61no—
1048#117—61no—
1049#117—61no—
1050#117—61no—
1051#117—61no—
1052#117—61no—
1053#117—61no—
1054#117—61no—
1055#117—61no—
1056#117—61no—
1057#117—61no—
1058#117—61no—
1059C2×C4⋊C4—31no—
1060C2×C4⋊C4—31no—
1061C2×C4⋊C4—31no—
1062C2×C4⋊C4—61no—
1063C2×C4⋊C4—61no—
1064C2×C4⋊C4—61no—
1065C2×C4⋊C4C22×D311yescharacteristic
1066C2×C4⋊C4C22×D311yescharacteristic
1067C2×C42—31no—
1068C2×C42—61no—
1069#107—31no—
1070#107—31no—
1071#107—31no—
1072#107—31no—
1073#107—31no—
1074#107—31no—
1075#107—31no—
1076#107—31no—
1077#107—31no—
1078#107C22×D311yescharacteristic
1079#107C22×D311yescharacteristic
1080#107C22×D311yescharacteristic
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#106—31no—
1093C4⋊C8—31no—
1094C4⋊C8—31no—
1095C4⋊C8—31no—
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8C22×D311yescharacteristic
1103#103—31no—
1104#103—31no—
1105#103—31no—
1106#103—31no—
1107#103—31no—
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#103—31no—
1124#103—31no—
1125#103C22×D311yescharacteristic
1126#103C22×D311yescharacteristic
1127#103C22×D311yescharacteristic
1128#103C22×D311yescharacteristic
1129#103C22×D311yescharacteristic
1130#103C22×D311yescharacteristic
1131#103C22×D311yescharacteristic
1132#103C22×D311yescharacteristic
1133#103C22×D311yescharacteristic
1134#103C22×D311yescharacteristic
1135C22⋊C8—31no—
1136C22⋊C8—31no—
1137C22⋊C8—31no—
1138C22⋊C8—31no—
1139C22⋊C8C22×D311yescharacteristic
1140C22⋊C8C22×D311yescharacteristic
1141#97—31no—
1142#97—31no—
1143#97—31no—
1144#97—31no—
1145C4×C8—31no—
1146C4×C8C22×D311yescharacteristic
1147C23×C3C22×D411yescharacteristic
1148C23×C3C22×D411yescharacteristic
1149C22×D3C22×D411yescharacteristic
1150C3×Q8—21no—
1151C3×Q8—21no—
1152C3×Q8—21no—
1153C3×Q8—21no—
1154C3×Q8—21no—
1155C3×Q8—21no—
1156C3×Q8—21no—
1157C3×Q8—42no—
1158C3×Q8—42no—
1159C3×Q8—81no—
1160C3×Q82−1+412yes—
1161C3×D4—22no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—42no—
1175C2×C3×C4—42no—
1176C2×C3×C4—81no—
1177C2×C3×C4—81no—
1178C2×C3×C4C22×D411yescharacteristic
1179C2×C3×C4C22×D411yescharacteristic
1180C2×C3×C4C22×D411yescharacteristic
1181C2×C3×C4C22×D411yescharacteristic
1182C2×C3×C4C2511yescharacteristic
1183#67—22no—
1184#67—41no—
1185C2×Dic3—22no—
1186C2×Dic3—21no—
1187C2×Dic3—21no—
1188C2×Dic3—21no—
1189C2×Dic3—21no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—41no—
1195C2×Dic3—42no—
1196C2×Dic3—42no—
1197C2×Dic3C22×D411yescharacteristic
1198C2×Dic3C22×D411yescharacteristic
1199C2×Dic3C22×D411yescharacteristic
1200C2×Dic3C22×D411yescharacteristic
1201C2×Dic3C22×D411yescharacteristic
1202C2×Dic3C22×D411yescharacteristic
1203C2×Dic3C22×D411yescharacteristic
1204C4×D3—21no—
1205C4×D3—21no—
1206C4×D3—42no—
1207C4×D3—81no—
1208Dic6—21no—
1209Dic6—21no—
1210Dic6—21no—
1211Dic6—21no—
1212Dic6—41no—
1213Dic6—42no—
1214Dic6—42no—
1215Dic6—81no—
1216Dic6—81no—
1217C3×C8—21no—
1218C3×C8—21no—
1219C3×C8—21no—
1220C3×C8—21no—
1221C3⋊C8—21no—
1222C3⋊C8—21no—
1223C3⋊C8—21no—
1224C3⋊C8—21no—
1225C2×Q8—21no—
1226C2×Q8—21no—
1227C2×Q8—21no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—31no—
1231C2×Q8—31no—
1232C2×Q8—31no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8—61no—
1236C2×Q8—61no—
1237C2×Q8—61no—
1238C2×Q8—61no—
1239C2×Q8—62no—
1240C2×Q8—121no—
1241C2×Q8C23×D311yescharacteristic
1242C2×Q8C23×D311yescharacteristic
1243C2×Q8C23×D311yescharacteristic
1244C2×Q8C23×D311yescharacteristic
1245C2×D4—31no—
1246C2×D4—31no—
1247C2×D4D3×D411yescharacteristic
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—31no—
1255C22×C4—61no—
1256C22×C4—61no—
1257C22×C4—61no—
1258C22×C4—61no—
1259C22×C4C23×D311yescharacteristic
1260C22×C4C23×D311yescharacteristic
1261Q16—22no—
1262Q16—41no—
1263Q16—41no—
1264Q16—62no—
1265Q16—121no—
1266Q16—121no—
1267Q16—121no—
1268Q16—121no—
1269M16—121no—
1270M16—121no—
1271C2×C8—31no—
1272C2×C8—31no—
1273C2×C8—31no—
1274C2×C8—31no—
1275C2×C8—41no—
1276C2×C8—41no—
1277C2×C8—121no—
1278C2×C8—121no—
1279C2×C8C23×D311yescharacteristic
1280C2×C8C23×D311yescharacteristic
1281C2×C8C23×D311yescharacteristic
1282C2×C8C23×D311yescharacteristic
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—31no—
1295C4⋊C4—31no—
1296C4⋊C4—31no—
1297C4⋊C4—31no—
1298C4⋊C4—31no—
1299C4⋊C4—31no—
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—61no—
1310C4⋊C4—61no—
1311C4⋊C4—61no—
1312C4⋊C4—61no—
1313C4⋊C4—61no—
1314C4⋊C4—61no—
1315C4⋊C4—61no—
1316C4⋊C4—61no—
1317C4⋊C4—61no—
1318C4⋊C4—61no—
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⋊C4D3×D411yescharacteristic
1360C4⋊C4C23×D311yescharacteristic
1361C4⋊C4C23×D311yescharacteristic
1362C4⋊C4C23×D311yescharacteristic
1363C4⋊C4C23×D311yescharacteristic
1364C22⋊C4—21no—
1365C22⋊C4—21no—
1366C22⋊C4—21no—
1367C22⋊C4—21no—
1368C22⋊C4—31no—
1369C22⋊C4—31no—
1370C22⋊C4—31no—
1371C22⋊C4—31no—
1372C22⋊C4—31no—
1373C22⋊C4—31no—
1374C22⋊C4—31no—
1375C22⋊C4—31no—
1376C22⋊C4—61no—
1377C22⋊C4—61no—
1378C22⋊C4—61no—
1379C22⋊C4—61no—
1380C22⋊C4—61no—
1381C22⋊C4—61no—
1382C22⋊C4—61no—
1383C22⋊C4—61no—
1384C22⋊C4—61no—
1385C22⋊C4—61no—
1386C22⋊C4—61no—
1387C22⋊C4—61no—
1388C22⋊C4D3×D411yescharacteristic
1389C22⋊C4D3×D411yescharacteristic
1390C42—21no—
1391C42—21no—
1392C42—31no—
1393C42—31no—
1394C42—31no—
1395C42—31no—
1396C42—31no—
1397C42—61no—
1398C42—61no—
1399C42—61no—
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—
1414C42—61no—
1415C42C23×D311yescharacteristic
1416C22×C3—21no—
1417C22×C3—21no—
1418C22×C3—21no—
1419C22×C3—21no—
1420C22×C3—21no—
1421C22×C3#57812yes—
1422C22×C3C23×D411yescharacteristic
1423C2×D3—21no—
1424C2×D3—21no—
1425C2×D3—21no—
1426C3×C4—21no—
1427C3×C4—22no—
1428C3×C4—21no—
1429C3×C4—21no—
1430C3×C4—21no—
1431C3×C4—41no—
1432C3×C4—41no—
1433C3×C4—41no—
1434C3×C4—41no—
1435C3×C4—41no—
1436C3×C4—41no—
1437C3×C4—41no—
1438C3×C4C2×2−1+411yescharacteristic
1439C3×C4#58511yescharacteristic
1440Dic3—21no—
1441Dic3—21no—
1442Dic3—21no—
1443Dic3—21no—
1444Dic3—21no—
1445Dic3—21no—
1446Dic3—21no—
1447Dic3—41no—
1448Dic3—41no—
1449Dic3—41no—
1450Dic3—41no—
1451Dic3—41no—
1452Dic3—41no—
1453Dic3—41no—
1454Dic3—41no—
1455C23—31no—
1456C23C2×D3×D411yescharacteristic
1457C23C2×D3×D411yescharacteristic
1458Q8—21no—
1459Q8—21no—
1460Q8—21no—
1461Q8—21no—
1462Q8—21no—
1463Q8—21no—
1464Q8—21no—
1465Q8—42no—
1466Q8—42no—
1467Q8—61no—
1468Q8—61no—
1469Q8—61no—
1470Q8—61no—
1471Q8—81no—
1472Q8—121no—
1473Q8—122no—
1474Q8—122no—
1475Q8—241no—
1476Q8—241no—
1477Q8#101012yes—
1478D4—22no—
1479D4—62no—
1480D4—121no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—31no—
1494C2×C4—31no—
1495C2×C4—31no—
1496C2×C4—31no—
1497C2×C4—31no—
1498C2×C4—31no—
1499C2×C4—31no—
1500C2×C4—42no—
1501C2×C4—42no—
1502C2×C4—62no—
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—61no—
1512C2×C4—61no—
1513C2×C4—81no—
1514C2×C4—81no—
1515C2×C4—122no—
1516C2×C4—121no—
1517C2×C4—122no—
1518C2×C4—122no—
1519C2×C4—241no—
1520C2×C4C2×D3×D411yescharacteristic
1521C2×C4C2×D3×D411yescharacteristic
1522C2×C4C2×D3×D411yescharacteristic
1523C2×C4C2×D3×D411yescharacteristic
1524C2×C4C24×D311yescharacteristic
1525C8—21no—
1526C8—21no—
1527C8—21no—
1528C8—21no—
1529C8—61no—
1530C8—61no—
1531C8—61no—
1532C8—61no—
1533C2×C3—22no—
1534C2×C3—41no—
1535C2×C3#348911yescharacteristic
1536C2×C3C2×#57811yescharacteristic
1537C2×C3#358611yescharacteristic
1538D3—41no—
1539C22—21no—
1540C22—21no—
1541C22—21no—
1542C22—21no—
1543C22—21no—
1544C22—61no—
1545C22—61no—
1546C22—61no—
1547C22#576612yes—
1548C22C22×D3×D411yescharacteristic
1549C4—21no—
1550C4—21no—
1551C4—22no—
1552C4—21no—
1553C4—21no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—61no—
1562C4—61no—
1563C4—61no—
1564C4—61no—
1565C4—61no—
1566C4—61no—
1567C4—61no—
1568C4—121no—
1569C4—121no—
1570C4—121no—
1571C4—121no—
1572C4—121no—
1573C4—121no—
1574C4—121no—
1575C4—121no—
1576C4C2×#101011yescharacteristic
1577C4#596611yescharacteristic
1578C3#6216811yescharacteristic, complemented, Sylow
1579C2—22no—
1580C2—41no—
1581C2—121no—
1582C2#8663011yescharacteristic
1583C2C2×#576611yescharacteristic
1584C2#8720811yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3299C2
socleC22×C3C23×D4
prime radical#939D4
hypercenter#3299D3
hypocenterC3#62168
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3299

Complements

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

NH ≅ G/Ntype
3. C3×#3299C2semidirect
4. #83624C2semidirect
5. #83552C2semidirect
6. #81627C2semidirect
7. #81611C2semidirect
8. #81479C2semidirect
9. #81465C2semidirect
10. #81463C2semidirect
11. #81460C2semidirect
12. #81110C2semidirect
13. #81105C2semidirect
14. #80756C2semidirect
15. #80752C2semidirect
16. #80750C2semidirect
17. #80747C2semidirect
18. #80488C2semidirect
19. #80466C2semidirect
20. #80196C2semidirect
21. #80195C2semidirect
22. #80177C2semidirect
23. #80174C2semidirect
24. #79724C2semidirect
25. #79709C2semidirect
26. #79413C2semidirect
28. #78810C2semidirect
29. #78806C2semidirect
30. #78779C2semidirect
31. C2×#4796C2semidirect
221. #3299D3semidirect
1578. C3#62168semidirect

Maximal subgroups

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

subgroupindex
#869432
#867522
C3×#32992
#836242
#835522
#816272
#816112
#814792
#814652
#814632
#814602
#811102
#811052
#807562
#807522
#807502
#807472
#804882
#804662
#801962
#801952
#801772
#801742
#797242
#797092
#794132
#794072
#788102
#788062
#787792
C2×#47962
#621683