Finite Group Databasebeta

← #7677632

Subgroups — #7677632

Order 512.

4706 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59863C211yesmaximal, characteristic, complemented
3#59754C212yesmaximal, complemented
4#59426C211yesmaximal, characteristic, complemented
5#59410C211yesmaximal, characteristic, complemented
6#59405C212yesmaximal, complemented
7#59303C211yesmaximal, characteristic, complemented
8#59302C211yesmaximal, characteristic, complemented
9#59282C212yesmaximal, complemented
10#59263C212yesmaximal, complemented
11#59065C211yesmaximal, characteristic, complemented
12#59034C211yesmaximal, characteristic, complemented
13#45399C212yesmaximal, complemented
14#45232C212yesmaximal, complemented
15#45167C212yesmaximal, complemented
16#45162C212yesmaximal, complemented
17#44279C214yesmaximal, complemented
18#44213C214yesmaximal, complemented
19#39328C214yesmaximal, complemented
20#39249C212yesmaximal, complemented
21#39235C214yesmaximal, complemented
22#39218C212yesmaximal, complemented
23#36484C212yesmaximal, complemented
24#36458C212yesmaximal, complemented
25#35647C212yesmaximal, complemented
26#35569C212yesmaximal, complemented
27#35185C211yesmaximal, characteristic, complemented
28#35161C212yesmaximal, complemented
29#34943C211yesmaximal, characteristic, complemented
30#34914C211yesmaximal, characteristic, complemented
31#34316C211yesmaximal, characteristic, complemented
32#34244C212yesmaximal, complemented
33#34214C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#542C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#529C2212yes—
41#2865C2214yes—
42#2864C2212yes—
43#2860C2212yes—
44#2860C2214yes—
45#2808C2214yes—
46#2808C2214yes—
47#2805C2214yes—
48#2803C2214yes—
49#2798C2214yes—
50#2797C2214yes—
51#2795C2214yes—
52#2795C2214yes—
53#2793C2214yes—
54#2793C2214yes—
55#2793C2214yes—
56#2779C2214yes—
57#2778C2214yes—
58#2766C2214yes—
59#2759C2214yes—
60#2758C2214yes—
61#2753C2214yes—
62#2751C2214yes—
63#2749C2214yes—
64#2723C2214yes—
65#2715C2214yes—
66#2714C2214yes—
67#2705C2214yes—
68#2696C2214yes—
69#2650C2214yes—
70#2649C2214yes—
71#2648C2214yes—
72#2597C2214yes—
73#2596C2214yes—
74#2595C2214yes—
75#2592C2212yes—
76#2592C2214yes—
77#2591C2214yes—
78#2588C2214yes—
79#2587C2214yes—
80#2581C2212yes—
81#2581C2212yes—
82#2578C2214yes—
83#2578C2214yes—
84#2577C2214yes—
85#2576C2214yes—
86#2575C2214yes—
87#2573C2214yes—
88#2572C2214yes—
89#2571C2211yescharacteristic
90#2571C2211yescharacteristic
91#2570C2212yes—
92#2568C2212yes—
93#2567C2211yescharacteristic
94#2567C2212yes—
95#2563C2211yescharacteristic
96#2563C2211yescharacteristic
97#2563C2211yescharacteristic
98#2560C2212yes—
99#2560C2214yes—
100#2559C2214yes—
101#2559C2212yes—
102#2558C2212yes—
103#2557C2212yes—
104#2557C2214yes—
105#2556C2214yes—
106#2555C2214yes—
107#2554C2214yes—
108#2548C2212yes—
109#2547C2212yes—
110#2540C2212yes—
111#2538C2211yescharacteristic
112#2537C2211yescharacteristic
113#2536C2212yes—
114#2530C2214yes—
115#2530C2214yes—
116#2528C2214yes—
117#2526C2214yes—
118#2524C2214yes—
119#2523C2214yes—
120#2521C2214yes—
121#2521C2214yes—
122#2518C2214yes—
123#2515C2214yes—
124#2514C2212yes—
125#2513C2212yes—
126#2513C2214yes—
127#2513C2212yes—
128#2513C2212yes—
129#2512C2212yes—
130#2512C2214yes—
131#2512C2214yes—
132#2512C2211yescharacteristic
133#2512C2212yes—
134#2511C2214yes—
135#2509C2212yes—
136#2509C2212yes—
137#2509C2212yes—
138#2506C2211yescharacteristic
139#2504C2212yes—
140#2500C2212yes—
141#2500C2212yes—
142#2499C2212yes—
143#2497C2212yes—
144#2497C2214yes—
145#2497C2212yes—
146#2496C2212yes—
147#2496C2212yes—
148#2496C2212yes—
149#2496C2211yescharacteristic
150#2496C2214yes—
151#2495C2214yes—
152#2495C2212yes—
153#2495C2212yes—
154#2494C2212yes—
155#2491C2211yescharacteristic
156#2490C2212yes—
157#2489C2212yes—
158#2485C2212yes—
159#2485C2212yes—
160#2481C2214yes—
161#2469C2214yes—
162#2469C2214yes—
163#2469C2214yes—
164#2467C2214yes—
165#2466C2214yes—
166#2461C2214yes—
167#2458C2214yes—
168#2452C2211yescharacteristic
169#2448C2212yes—
170#2445C2211yescharacteristic
171#2442C2212yes—
172#2441C2212yes—
173#2439C2212yes—
174#2431C2212yes—
175#2428C2211yescharacteristic
176#2426C2212yes—
177#2426C2212yes—
178#2423C2212yes—
179#2422C2211yescharacteristic
180#2422C2214yes—
181#2421C2212yes—
182#2421C2212yes—
183#2421C2212yes—
184#2420C2212yes—
185#2420C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2416C2212yes—
189#2416C2212yes—
190#2415C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2407C2212yes—
194#2398C2212yes—
195#2398C2214yes—
196#2392C2212yes—
197#2374C2214yes—
198#2374C2214yes—
199#2374C2214yes—
200#2373C2214yes—
201#2372C2214yes—
202#2371C2214yes—
203#2367C2212yes—
204#2365C2211yescharacteristic
205#2365C2211yescharacteristic
206#2363C2212yes—
207#2362C2212yes—
208#2362C2212yes—
209#2360C2212yes—
210#2360C2212yes—
211#2360C2212yes—
212#2360C2212yes—
213#2356C2212yes—
214#2355C2211yescharacteristic
215#2355C2212yes—
216#2355C2212yes—
217#2355C2212yes—
218#2355C2212yes—
219#2355C2212yes—
220#2354C2211yescharacteristic
221#2354C2211yescharacteristic
222#2354C2212yes—
223#2354C2212yes—
224#2354C2211yescharacteristic
225#2352C2212yes—
226#2352C2212yes—
227#2352C2212yes—
228#2352C2212yes—
229#2352C2212yes—
230#2351C2212yes—
231Q8×C4⋊C4C2212yes—
232Q8×C4⋊C4C2212yes—
233Q8×C4⋊C4C2212yes—
234#2347C2212yes—
235#2347C2212yes—
236#2345C2212yes—
237#2345C2212yes—
238#2341C2212yes—
239#2341C2212yes—
240#2341C2212yes—
241#2337C2212yes—
242#2335C2214yes—
243#2335C2212yes—
244#2334C2212yes—
245#2333C2214yes—
246#2332C2212yes—
247#2332C2214yes—
248#2331C2211yescharacteristic
249#2330C2212yes—
250#2330C2212yes—
251#2326C2211yescharacteristic
252#2324C2212yes—
253#2324C2211yescharacteristic
254#2323C2211yescharacteristic
255#2323C2212yes—
256#2320C2211yescharacteristic
257#2319C2211yescharacteristic
258#2317C2212yes—
259#2314C2211yescharacteristic
260#2314C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#126C2212yes—
269C4×#126C2214yes—
270C4×#126C2214yes—
271C4×#126C2214yes—
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×#123C2212yes—
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285#2297C2212yes—
286#2293C2211yescharacteristic
287#2290C2212yes—
288C2×#384C2211yescharacteristic
289#2283C2212yes—
290#2283C2212yes—
291#2274C2212yes—
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300#556—28no—
301#547—28no—
302#542—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309#529—216no—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2314yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C42C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#397C2312yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2312yes—
431#396C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#393C2314yes—
457#393C2312yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2312yes—
462#392C2312yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#391C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#390C2312yes—
485#390C2314yes—
486#390C2312yes—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2314yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#388C2312yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2312yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2314yes—
684#384C2312yes—
685#384C2314yes—
686#384C2312yes—
687#384C2312yes—
688#383C2314yes—
689#383C2312yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2312yes—
705#381C2314yes—
706#381C2314yes—
707#381C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2314yes—
810#376C2314yes—
811C43C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—44no—
817C2×#41—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—42no—
848C4⋊Q8#4118yes—
849#127—42no—
850#126—28no—
851#126—28no—
852#126—216no—
853#126—28no—
854#126—84no—
855#126—84no—
856#126—84no—
857#125—28no—
858#125—28no—
859#124—28no—
860#124—28no—
861#124—28no—
862#124—24no—
863#124—84no—
864#123—28no—
865#123—216no—
866#123—28no—
867#123—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—24no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—44no—
876#121—24no—
877#121—28no—
878#121—28no—
879#121—44no—
880#121—44no—
881#121—42no—
882#121—42no—
883#121—84no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—82no—
897C4×Q8—82no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—42no—
906C4×D4—42no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—84no—
911#117—28no—
912#117—28no—
913#117—28no—
914#117—42no—
915#117—44no—
916#117—44no—
917#117—44no—
918#117#4118yescomplemented
919C2×C4⋊C4—28no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—82no—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C42—28no—
1047C2×C42—24no—
1048C2×C42—44no—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2414yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2414yes—
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162C24C2512yes—
1163C24C2512yes—
1164C24C2512yes—
1165C24C2511yescharacteristic
1166#41—816no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8C2×#4118yes—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—28no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4C2×#4114yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4C2×#4118yes—
1342C4⋊C4C2×#4114yes—
1343C4⋊C4C2×#4114yes—
1344C4⋊C4C2×#4118yes—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4C2×#4114yes—
1401C22⋊C4C2×#4114yes—
1402C42—24no—
1403C42—22no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—28no—
1410C42—28no—
1411C42—24no—
1412C42—24no—
1413C42—22no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—42no—
1422C42—42no—
1423C42—41no—
1424C42—42no—
1425C42—41no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—42no—
1435C42—41no—
1436C42—41no—
1437C42—44no—
1438C42—42no—
1439C42—44no—
1440C42C2×#4114yes—
1441C42C2×#4114yes—
1442C42C2×#4114yes—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23C22×#4112yes—
1471C23C2611yescharacteristic
1472Q8—216no—
1473Q8—48no—
1474Q8—44no—
1475Q8—84no—
1476Q8—84no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—84no—
1481D4—88no—
1482D4—84no—
1483D4—84no—
1484D4—84no—
1485D4—84no—
1486D4—88no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—88no—
1577C2×C4—84no—
1578C2×C4—164no—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4118yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4112yes—
1589C2×C4#58512yes—
1590C2×C4#58512yes—
1591C2×C4#58512yes—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22C23×#4111yescharacteristic
1621C22C23×#4111yescharacteristic
1622C22C2×#58511yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22H(7,𝔽2)11yescharacteristic
1626C222−1+611yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—28no—
1632C4—22no—
1633C4—22no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—41no—
1641C4—42no—
1642C4—42no—
1643C4—41no—
1644C4—44no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—44no—
1655C4—44no—
1656C4#348014yes—
1657C4#352114yes—
1658C2—42no—
1659C2—82no—
1660C2—82no—
1661C2—82no—
1662C2C2×#348011yescharacteristic
1663C2C2×#352111yescharacteristic
1664C2#6285111yescharacteristic
1665C2#6293611yescharacteristic
1666C2#6296911yescharacteristic
1667C2#6299411yescharacteristic
1668C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59870C2semidirect
2. #59863C2semidirect
3. #59754C2semidirect
4. #59426C2semidirect
5. #59410C2semidirect
6. #59405C2semidirect
7. #59303C2semidirect
8. #59302C2semidirect
9. #59282C2semidirect
10. #59263C2semidirect
11. #59065C2semidirect
12. #59034C2semidirect
13. #45399C2semidirect
14. #45232C2semidirect
15. #45167C2semidirect
16. #45162C2semidirect
17. #44279C2semidirect
18. #44213C2semidirect
19. #39328C2semidirect
20. #39249C2semidirect
21. #39235C2semidirect
22. #39218C2semidirect
23. #36484C2semidirect
24. #36458C2semidirect
25. #35647C2semidirect
26. #35569C2semidirect
27. #35185C2semidirect
28. #35161C2semidirect
29. #34943C2semidirect
30. #34914C2semidirect
31. #34316C2semidirect
32. #34244C2semidirect
33. #34214C2semidirect
34. C4×#556C2semidirect
35. C4×#542C2semidirect
918. #117#41semidirect

Maximal subgroups

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

subgroupindex
#598702
#598632
#597542
#594262
#594102
#594052
#593032
#593022
#592822
#592632
#590652
#590342
#453992
#452322
#451672
#451622
#442792
#442132
#393282
#392492
#392352
#392182
#364842
#364582
#356472
#355692
#351852
#351612
#349432
#349142
#343162
#342442
#342142
C4×#5562
C4×#5422