Finite Group Databasebeta

← #7690108

Subgroups — #7690108

Order 512.

5024 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59838C214yesmaximal, complemented
2#59546C212yesmaximal, complemented
3#59510C212yesmaximal, complemented
4#59474C212yesmaximal, complemented
5#59429C211yesmaximal, characteristic, complemented
6#59321C211yesmaximal, characteristic, complemented
7#59290C212yesmaximal, complemented
8#59235C211yesmaximal, characteristic, complemented
9#44977C212yesmaximal, complemented
10#44900C212yesmaximal, complemented
11#44855C214yesmaximal, complemented
12#44497C214yesmaximal, complemented
13#39534C212yesmaximal, complemented
14#39470C211yesmaximal, characteristic, complemented
15#39002C212yesmaximal, complemented
16#38965C211yesmaximal, characteristic, complemented
17#38710C214yesmaximal, complemented
18#37971C212yesmaximal, complemented
19#36506C212yesmaximal, complemented
20#36459C211yesmaximal, characteristic, complemented
21#36312C211yesmaximal, characteristic, complemented
22#36298C212yesmaximal, complemented
23#36287C211yesmaximal, characteristic, complemented
24#36275C211yesmaximal, characteristic, complemented
25#36270C212yesmaximal, complemented
26#36181C211yesmaximal, characteristic, complemented
27#36089C212yesmaximal, complemented
28#36026C212yesmaximal, complemented
29#34920C212yesmaximal, complemented
30#34715C211yesmaximal, characteristic
31#34317C211yesmaximal, characteristic, complemented
32#34253C212yesmaximal, complemented
33#34207C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#552C2212yes—
39C2×#552C2214yes—
40C2×#532C2211yescharacteristic
41C2×#520C2212yes—
42C2×C4×#41C2211yescharacteristic
43#2865C2214yes—
44#2860C2212yes—
45#2860C2212yes—
46#2859C2211yescharacteristic
47#2859C2212yes—
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2855C2212yes—
51#2798C2214yes—
52#2791C2214yes—
53#2788C2214yes—
54#2786C2214yes—
55#2779C2214yes—
56#2768C2214yes—
57#2761C2214yes—
58#2755C2214yes—
59#2752C2214yes—
60#2747C2214yes—
61#2744C2214yes—
62#2743C2214yes—
63#2743C2214yes—
64#2740C2214yes—
65#2725C2214yes—
66#2719C2214yes—
67#2705C2214yes—
68#2704C2214yes—
69#2700C2214yes—
70#2698C2214yes—
71#2681C2214yes—
72#2651C2214yes—
73#2637C2214yes—
74#2629C2212yes—
75#2616C2212yes—
76#2612C2214yes—
77#2609C2214yes—
78#2609C2214yes—
79#2603C2214yes—
80#2601C2214yes—
81#2601C2214yes—
82#2590C2214yes—
83#2588C2214yes—
84#2584C2212yes—
85#2582C2211yescharacteristic
86#2581C2212yes—
87#2575C2214yes—
88#2570C2212yes—
89#2567C2211yescharacteristic
90#2565C2212yes—
91#2565C2212yes—
92#2563C2211yescharacteristic
93#2562C2212yes—
94#2562C2214yes—
95#2560C2214yes—
96#2558C2214yes—
97#2558C2214yes—
98#2556C2214yes—
99#2554C2214yes—
100#2552C2211yescharacteristic
101#2552C2211yescharacteristic
102#2552C2212yes—
103#2550C2212yes—
104#2538C2212yes—
105#2538C2211yescharacteristic
106#2538C2212yes—
107#2536C2214yes—
108#2533C2214yes—
109#2532C2214yes—
110#2529C2214yes—
111#2529C2214yes—
112#2526C2214yes—
113#2525C2214yes—
114#2522C2214yes—
115#2520C2214yes—
116#2519C2214yes—
117#2519C2214yes—
118#2516C2214yes—
119#2516C2214yes—
120#2515C2214yes—
121#2515C2214yes—
122#2511C2212yes—
123#2508C2212yes—
124#2508C2212yes—
125#2507C2212yes—
126#2506C2212yes—
127#2506C2212yes—
128#2506C2212yes—
129#2506C2212yes—
130#2503C2212yes—
131#2502C2212yes—
132#2499C2212yes—
133#2497C2212yes—
134#2497C2212yes—
135#2497C2212yes—
136#2497C2212yes—
137#2496C2212yes—
138#2496C2212yes—
139#2496C2212yes—
140#2496C2212yes—
141#2495C2212yes—
142#2490C2212yes—
143#2490C2212yes—
144#2489C2212yes—
145#2487C2212yes—
146#2486C2212yes—
147#2486C2212yes—
148#2486C2212yes—
149#2485C2212yes—
150#2484C2214yes—
151#2479C2214yes—
152#2478C2214yes—
153#2476C2212yes—
154#2474C2212yes—
155#2473C2214yes—
156#2471C2214yes—
157#2468C2214yes—
158#2468C2214yes—
159#2467C2214yes—
160#2465C2214yes—
161#2462C2214yes—
162#2461C2214yes—
163#2461C2214yes—
164#2459C2212yes—
165#2456C2212yes—
166#2454C2212yes—
167#2453C2212yes—
168#2451C2211yescharacteristic
169#2449C2214yes—
170#2448C2212yes—
171#2445C2212yes—
172#2445C2211yescharacteristic
173#2442C2212yes—
174#2441C2212yes—
175#2441C2212yes—
176#2441C2212yes—
177#2440C2212yes—
178#2440C2212yes—
179#2439C2211yescharacteristic
180#2438C2214yes—
181#2438C2214yes—
182#2431C2211yescharacteristic
183#2426C2211yescharacteristic
184#2423C2212yes—
185#2423C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2420C2211yescharacteristic
189#2419C2214yes—
190#2417C2212yes—
191#2417C2212yes—
192#2415C2212yes—
193#2414C2211yescharacteristic
194#2407C2211yescharacteristic
195#2402C2214yes—
196#2399C2214yes—
197#2392C2212yes—
198#2388C2212yes—
199#2373C2212yes—
200#2373C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2369C2211yescharacteristic
204#2367C2212yes—
205#2367C2212yes—
206#2365C2211yescharacteristic
207#2362C2214yes—
208#2362C2212yes—
209#2362C2211yescharacteristic
210#2362C2211yescharacteristic
211#2362C2212yes—
212#2361C2212yes—
213#2361C2212yes—
214#2361C2214yes—
215#2360C2212yes—
216#2357C2212yes—
217#2356C2212yes—
218#2355C2211yescharacteristic
219#2355C2211yescharacteristic
220#2354C2211yescharacteristic
221#2354C2211yescharacteristic
222#2354C2212yes—
223#2354C2212yes—
224#2354C2212yes—
225#2354C2211yescharacteristic
226#2354C2211yescharacteristic
227#2354C2212yes—
228#2354C2212yes—
229#2353C2214yes—
230#2353C2214yes—
231#2352C2214yes—
232#2352C2214yes—
233Q8×C4⋊C4C2211yescharacteristic
234Q8×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2212yes—
239#2347C2212yes—
240#2347C2211yescharacteristic
241#2347C2211yescharacteristic
242#2346C2214yes—
243#2346C2212yes—
244#2346C2212yes—
245#2346C2212yes—
246#2345C2212yes—
247#2345C2212yes—
248#2344C2212yes—
249#2344C2212yes—
250#2344C2212yes—
251#2344C2212yes—
252#2341C2212yes—
253#2339C2212yes—
254#2332C2214yes—
255#2326C2214yes—
256#2323C2212yes—
257#2320C2214yes—
258#2319C2214yes—
259#2316C2212yes—
260#2311C2212yes—
261#2311C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×#127C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2214yes—
269C4×#126C2212yes—
270C4×#126C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×#123C2212yes—
277C4×#121C2211yescharacteristic
278#2297C2212yes—
279#2295C2214yes—
280#2295C2212yes—
281#2295C2212yes—
282#2293C2211yescharacteristic
283#2293C2212yes—
284#2293C2214yes—
285#2293C2212yes—
286#2293C2214yes—
287C2×#389C2212yes—
288#2285C2212yes—
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301#556—28no—
302#554—28no—
303#552—48no—
304#552—416no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342#520—216no—
343C4×#41—28no—
344C2×C4×Q8C2314yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2314yes—
382C2×#117C2314yes—
383C2×#117C2314yes—
384C2×#117C2314yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2314yes—
394C22×C4⋊C4C2312yes—
395C22×C42C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2312yes—
457#395C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#393C2314yes—
471#393C2312yes—
472#392C2312yes—
473#392C2312yes—
474#392C2312yes—
475#392C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2314yes—
503#390C2312yes—
504#390C2314yes—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#383C2312yes—
689#383C2312yes—
690#383C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2314yes—
816C43C2311yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—42no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854#127—24no—
855#126—28no—
856#126—28no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—28no—
861#125—216no—
862#125—44no—
863#125—44no—
864#125—44no—
865#125—48no—
866#125—48no—
867#124—24no—
868#124—28no—
869#124—28no—
870#123—28no—
871#123—48no—
872#123—48no—
873C22⋊Q8—24no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—24no—
877C22⋊Q8—216no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883#121—24no—
884#121—24no—
885#121—28no—
886#121—42no—
887C4×Q8—28no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—216no—
893C4×Q8—24no—
894C4×Q8—28no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—216no—
907C4×D4—216no—
908C4×D4—216no—
909C4×D4—24no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4#4118yes—
916#117—24no—
917#117—28no—
918#117—28no—
919#117—24no—
920#117—28no—
921#117—44no—
922#117—44no—
923#117—48no—
924#117—48no—
925#117—48no—
926#117—48no—
927#117—42no—
928#117—44no—
929#117—42no—
930#117#4118yescomplemented
931C2×C4⋊C4—28no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—48no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—28no—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24C2511yescharacteristic
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180#41—432no—
1181#41—416no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q82−1+414yes—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—41no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4C2×#4114yes—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4C2×#4118yes—
1265C22×C4C2×#4114yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2514yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—41no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4C2×#4114yes—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4H(5,𝔽2)14yes—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—22no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4C2×#4118yes—
1419C22⋊C4C2×#4118yes—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—22no—
1428C42—22no—
1429C42—28no—
1430C42—28no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—24no—
1435C42—28no—
1436C42—24no—
1437C42—24no—
1438C42—22no—
1439C42—24no—
1440C42—28no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—24no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42—41no—
1453C42—44no—
1454C42—42no—
1455C42—42no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42—42no—
1460C42C2×#4114yes—
1461C42C2×#4118yes—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—21no—
1480C23—22no—
1481C23—21no—
1482C23—21no—
1483C23—22no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23C22×#4114yes—
1489C23C22×#4112yes—
1490C23C2611yescharacteristic
1491Q8—28no—
1492Q8—48no—
1493Q8—48no—
1494Q8—44no—
1495Q8—84no—
1496D4—28no—
1497D4—48no—
1498D4—44no—
1499D4—48no—
1500D4—48no—
1501D4—48no—
1502D4—48no—
1503D4—44no—
1504D4—84no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—216no—
1524C2×C4—28no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—48no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×2−1+414yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C22—24no—
1613C22—22no—
1614C22—22no—
1615C22—24no—
1616C22—22no—
1617C22—24no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—42no—
1625C22—41no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—41no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22C23×#4111yescharacteristic
1641C22C23×#4111yescharacteristic
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C22×2−1+411yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C222−1+611yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—24no—
1651C4—24no—
1652C4—22no—
1653C4—24no—
1654C4—22no—
1655C4—24no—
1656C4—42no—
1657C4—42no—
1658C4—44no—
1659C4—41no—
1660C4—42no—
1661C4—41no—
1662C4—44no—
1663C4—42no—
1664C4—44no—
1665C4—44no—
1666C4—42no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4#347514yes—
1677C4#349514yes—
1678C2—44no—
1679C2—42no—
1680C2—81no—
1681C2—82no—
1682C2C2×#347511yescharacteristic
1683C2#6280011yescharacteristic
1684C2C2×#349511yescharacteristic
1685C2#6293911yescharacteristic
1686C2#6298511yescharacteristic
1687C2#6300111yescharacteristic
1688C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34715C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59838C2semidirect
2. #59546C2semidirect
3. #59510C2semidirect
4. #59474C2semidirect
5. #59429C2semidirect
6. #59321C2semidirect
7. #59290C2semidirect
8. #59235C2semidirect
9. #44977C2semidirect
10. #44900C2semidirect
11. #44855C2semidirect
12. #44497C2semidirect
13. #39534C2semidirect
14. #39470C2semidirect
15. #39002C2semidirect
16. #38965C2semidirect
17. #38710C2semidirect
18. #37971C2semidirect
19. #36506C2semidirect
20. #36459C2semidirect
21. #36312C2semidirect
22. #36298C2semidirect
23. #36287C2semidirect
24. #36275C2semidirect
25. #36270C2semidirect
26. #36181C2semidirect
27. #36089C2semidirect
28. #36026C2semidirect
29. #34920C2semidirect
31. #34317C2semidirect
32. #34253C2semidirect
33. #34207C2semidirect
34. C4×#556C2semidirect
35. #34129C2semidirect
930. #117#41semidirect

Maximal subgroups

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

subgroupindex
#598382
#595462
#595102
#594742
#594292
#593212
#592902
#592352
#449772
#449002
#448552
#444972
#395342
#394702
#390022
#389652
#387102
#379712
#365062
#364592
#363122
#362982
#362872
#362752
#362702
#361812
#360892
#360262
#349202
#347152
#343172
#342532
#342072
C4×#5562
#341292