Finite Group Databasebeta

← #7683765

Subgroups — #7683765

Order 512.

4965 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59495C214yesmaximal, complemented
2#59295C212yesmaximal, complemented
3#59293C212yesmaximal, complemented
4#59290C212yesmaximal, complemented
5#59288C212yesmaximal, complemented
6#59264C212yesmaximal, complemented
7#59261C212yesmaximal, complemented
8#59258C212yesmaximal, complemented
9#59249C212yesmaximal, complemented
10#59169C214yesmaximal, complemented
11#45346C212yesmaximal, complemented
12#45288C212yesmaximal, complemented
13#45132C212yesmaximal, complemented
14#45118C212yesmaximal, complemented
15#45050C212yesmaximal, complemented
16#45017C212yesmaximal, complemented
17#44924C212yesmaximal, complemented
18#44904C212yesmaximal, complemented
19#43246C214yesmaximal, complemented
20#43223C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35555C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35543C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic
27C2×#2496C211yesmaximal, characteristic, complemented
28#34742C211yesmaximal, characteristic
29#34739C211yesmaximal, characteristic, complemented
30#34252C211yesmaximal, characteristic, complemented
31#34250C211yesmaximal, characteristic, complemented
32#34213C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic
34#34188C211yesmaximal, characteristic, complemented
35#34180C211yesmaximal, characteristic, complemented
36C2×#552C2214yes—
37C2×#533C2211yescharacteristic
38C22×#126C2212yes—
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×#117C2211yescharacteristic
44#2791C2214yescomplemented
45#2787C2214yescomplemented
46#2781C2214yes—
47#2776C2214yescomplemented
48#2773C2214yes—
49#2772C2214yes—
50#2767C2214yescomplemented
51#2767C2214yescomplemented
52#2767C2214yescomplemented
53#2764C2214yescomplemented
54#2754C2214yes—
55#2751C2214yes—
56#2747C2214yescomplemented
57#2745C2214yescomplemented
58#2739C2214yescomplemented
59#2738C2214yes—
60#2738C2214yescomplemented
61#2721C2214yes—
62#2719C2214yescomplemented
63#2707C2214yes—
64#2702C2214yes—
65#2698C2214yes—
66#2695C2214yes—
67#2695C2214yes—
68#2612C2214yescomplemented
69#2604C2214yes—
70#2601C2214yes—
71#2590C2214yescomplemented
72#2582C2212yescomplemented
73#2581C2212yescomplemented
74#2580C2212yescomplemented
75#2575C2214yescomplemented
76#2571C2212yescomplemented
77#2570C2212yescomplemented
78#2570C2212yescomplemented
79#2570C2212yescomplemented
80#2570C2212yescomplemented
81#2569C2214yes—
82#2553C2214yes—
83#2552C2212yescomplemented
84#2552C2212yescomplemented
85#2552C2212yescomplemented
86#2538C2212yescomplemented
87#2533C2214yescomplemented
88#2530C2214yescomplemented
89#2528C2214yescomplemented
90#2525C2214yes—
91#2524C2214yescomplemented
92#2524C2214yescomplemented
93#2520C2214yescomplemented
94#2519C2214yes—
95#2519C2214yes—
96#2517C2214yes—
97#2511C2214yescomplemented
98#2509C2212yescomplemented
99#2509C2212yescomplemented
100#2509C2212yescomplemented
101#2508C2212yescomplemented
102#2508C2212yescomplemented
103#2508C2212yescomplemented
104#2507C2212yescomplemented
105#2507C2212yescomplemented
106#2507C2212yescomplemented
107#2507C2212yescomplemented
108#2507C2212yescomplemented
109#2506C2212yescomplemented
110#2506C2212yescomplemented
111#2506C2212yescomplemented
112#2506C2212yescomplemented
113#2506C2212yescomplemented
114#2505C2214yes—
115#2498C2214yes—
116#2497C2212yes—
117#2497C2212yes—
118#2496C2214yes—
119#2496C2212yes—
120#2496C2212yes—
121#2496C2212yes—
122#2496C2212yes—
123#2496C2212yes—
124#2496C2212yes—
125#2496C2212yes—
126#2496C2212yes—
127#2496C2212yes—
128#2496C2212yes—
129#2495C2212yes—
130#2495C2212yes—
131#2494C2212yes—
132#2494C2212yes—
133#2493C2214yes—
134#2489C2214yes—
135#2487C2212yes—
136#2486C2212yes—
137#2485C2214yes—
138#2485C2212yes—
139#2485C2212yes—
140#2484C2214yescomplemented
141#2481C2214yes—
142#2480C2214yes—
143#2479C2214yes—
144#2478C2214yes—
145#2478C2214yes—
146#2477C2214yes—
147#2475C2214yescomplemented
148#2475C2214yescomplemented
149#2475C2214yescomplemented
150#2473C2214yes—
151#2473C2214yes—
152#2473C2214yes—
153#2468C2214yes—
154#2462C2214yescomplemented
155#2450C2214yes—
156#2449C2214yes—
157#2442C2214yes—
158#2442C2211yescharacteristic
159#2442C2211yescharacteristic
160#2442C2214yescomplemented
161#2442C2212yescomplemented
162#2441C2211yescharacteristic
163#2441C2211yescharacteristic
164#2441C2212yescomplemented
165#2440C2211yescharacteristic
166#2440C2211yescharacteristic
167#2440C2212yescomplemented
168#2439C2211yescharacteristic
169#2439C2211yescharacteristic
170#2439C2212yescomplemented
171#2438C2212yes—
172#2438C2212yes—
173#2438C2214yescomplemented
174#2437C2212yes—
175#2437C2212yes—
176#2423C2212yes—
177#2423C2211yescharacteristic
178#2423C2211yescharacteristic
179#2422C2211yescharacteristic
180#2422C2212yes—
181#2422C2211yescharacteristic
182#2421C2211yescharacteristic
183#2421C2211yescharacteristic
184#2421C2212yes—
185#2421C2214yescomplemented
186#2420C2211yescharacteristic
187#2420C2212yes—
188#2420C2211yescharacteristic
189#2419C2212yes—
190#2419C2214yes—
191#2419C2214yes—
192#2419C2212yes—
193#2418C2212yes—
194#2418C2214yes—
195#2418C2212yes—
196#2396C2212yes—
197#2396C2212yes—
198#2395C2212yes—
199#2395C2212yes—
200C2×#400C2212yes—
201C2×#397C2212yes—
202#2373C2214yes—
203#2370C2212yescomplemented
204#2370C2214yescomplemented
205#2370C2212yescomplemented
206#2369C2212yescomplemented
207#2365C2212yescomplemented
208#2359C2214yes—
209#2358C2214yes—
210#2357C2212yescomplemented
211#2356C2212yescomplemented
212#2355C2212yescomplemented
213#2355C2212yescomplemented
214#2355C2212yescomplemented
215#2355C2212yescomplemented
216#2355C2212yescomplemented
217#2355C2212yescomplemented
218#2354C2212yes—
219#2354C2212yescomplemented
220#2354C2212yescomplemented
221#2354C2212yescomplemented
222#2352C2214yes—
223#2352C2212yes—
224#2352C2214yes—
225#2352C2212yes—
226#2351C2212yescomplemented
227Q8×C4⋊C4C2212yescomplemented
228Q8×C4⋊C4C2212yescomplemented
229#2349C2214yes—
230#2349C2212yescomplemented
231D4×C4⋊C4C2214yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yescomplemented
234#2347C2212yes—
235#2347C2212yescomplemented
236#2346C2212yes—
237#2346C2212yescomplemented
238#2345C2212yes—
239#2345C2212yescomplemented
240#2344C2212yes—
241#2344C2212yescomplemented
242#2343C2214yes—
243#2343C2214yescomplemented
244#2342C2214yes—
245#2329C2214yes—
246#2324C2212yes—
247#2323C2212yes—
248#2318C2214yes—
249#2317C2211yescharacteristic
250#2317C2211yescharacteristic
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2212yescomplemented
256#2316C2211yescharacteristic
257#2316C2211yescharacteristic
258#2316C2212yescomplemented
259#2314C2212yes—
260#2314C2212yes—
261#2314C2212yescomplemented
262#2314C2212yescomplemented
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265C4×C22⋊Q8C2214yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×#123C2212yes—
270C4×#123C2212yes—
271C4×#121C2212yes—
272#2297C2211yescharacteristic
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2296C2212yescomplemented
277C2×#389C2211yescharacteristic
278C2×#389C2211yescharacteristic
279C2×#389C2212yescomplemented
280#2290C2214yes—
281C2×#387C2212yes—
282#2285C2211yescharacteristic
283#2285C2212yes—
284#2285C2211yescharacteristic
285#2285C2212yescomplemented
286#2285C2212yescomplemented
287C2×#384C2211yescharacteristic
288#2283C2212yes—
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291C2×#380C2211yescharacteristic
292C2×#380C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#552—416no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×#126—48no—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2314yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317#525—28no—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#120C2312yes—
332#520—28no—
333#520—28no—
334C4×#41—28no—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2314yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×#117—28no—
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C2×#117C2314yes—
369C2×#117C2314yes—
370C2×#117C2314yes—
371C2×#117C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2312yes—
422#399C2312yes—
423#399C2312yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2312yes—
467#396C2312yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#395C2314yes—
472#395C2312yes—
473#395C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#393C2314yes—
481#393C2312yes—
482#393C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2314yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
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#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2314yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#382C2312yes—
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2314yes—
743#380C2312yes—
744#379C2312yes—
745#379C2312yes—
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⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C25C2411yescharacteristic
819C2×#41—24no—
820C2×#41—24no—
821C2×#41#4118yes—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C23×C4—24no—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855#126—216no—
856#126—48no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—24no—
861#125—24no—
862#125—48no—
863#125—48no—
864#125—48no—
865#125—48no—
866#123—28no—
867#123—28no—
868#123—48no—
869#123—44no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—44no—
876C22⋊Q8—48no—
877#121—24no—
878#121—24no—
879#120—28no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—48no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—216no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—48no—
898#117—24no—
899#117—28no—
900#117—24no—
901#117—28no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—28no—
909#117—28no—
910#117—28no—
911#117—48no—
912#117—48no—
913#117—48no—
914#117—48no—
915#117#4118yes—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—28no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4—48no—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4—28no—
1010C2×C22⋊C4—24no—
1011C2×C22⋊C4—42no—
1012C2×C22⋊C4—44no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C42—28no—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—28no—
1063C2×C42—44no—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24—22no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—41no—
1178C24—41no—
1179C24—41no—
1180C24C2511yescharacteristic
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2511yescharacteristic
1184#41—232no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8C2×#4114yes—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4C2×#4118yes—
1205C2×D4C2×#4114yes—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—44no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—416no—
1266C22×C4C2×#4118yes—
1267C22×C4C2×#4114yes—
1268C22×C4C2×#4114yes—
1269C22×C42−1+414yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2514yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2514yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C4C2×#4114yes—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—24no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4C2×#4118yes—
1425C22⋊C4H(5,𝔽2)14yes—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—28no—
1442C42—28no—
1443C42—24no—
1444C42—24no—
1445C42—28no—
1446C42—24no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—44no—
1456C42C2×#4118yes—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—82no—
1485C23—82no—
1486C23—82no—
1487C23C22×#4114yes—
1488C23C22×#4112yes—
1489C23C22×#4112yes—
1490C23C2×H(5,𝔽2)12yes—
1491C23C2×2−1+412yes—
1492C23C2611yescharacteristic
1493Q8—28no—
1494Q8—48no—
1495Q8—84no—
1496D4—216no—
1497D4—28no—
1498D4—48no—
1499D4—84no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—216no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—48no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—88no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—88no—
1598C2×C4—82no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4#552116yescomplemented
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4114yes—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4#58512yes—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—24no—
1622C22—22no—
1623C22—24no—
1624C22—22no—
1625C22—24no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—88no—
1642C22C2×#55214yes—
1643C22C23×#4111yescharacteristic
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C2×#58511yescharacteristic
1648C222−1+611yescharacteristic
1649C222−1+611yescharacteristic
1650C4—22no—
1651C4—24no—
1652C4—22no—
1653C4—22no—
1654C4—24no—
1655C4—24no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—41no—
1660C4—44no—
1661C4—44no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—41no—
1668C4—42no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—44no—
1675C4—44no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4C2×#55214yes—
1680C4C2×#55214yes—
1681C2—24no—
1682C2—44no—
1683C2—42no—
1684C2—81no—
1685C2C22×#55211yescharacteristic
1686C2#6283511yescharacteristic
1687C2#6288911yescharacteristic
1688C2#6298511yescharacteristic
1689C2#6298511yescharacteristic
1690C2#6299311yescharacteristic
1691C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59495C2semidirect
2. #59295C2semidirect
3. #59293C2semidirect
4. #59290C2semidirect
5. #59288C2semidirect
6. #59264C2semidirect
7. #59261C2semidirect
8. #59258C2semidirect
9. #59249C2semidirect
10. #59169C2semidirect
11. #45346C2semidirect
12. #45288C2semidirect
13. #45132C2semidirect
14. #45118C2semidirect
15. #45050C2semidirect
16. #45017C2semidirect
17. #44924C2semidirect
18. #44904C2semidirect
19. #43246C2semidirect
20. #43223C2semidirect
21. #35585C2semidirect
22. #35555C2semidirect
23. #35544C2semidirect
24. #35543C2semidirect
25. #35519C2semidirect
27. C2×#2496C2semidirect
29. #34739C2semidirect
30. #34252C2semidirect
31. #34250C2semidirect
32. #34213C2semidirect
34. #34188C2semidirect
35. #34180C2semidirect
44. #2791C22semidirect
45. #2787C22semidirect
47. #2776C22semidirect
50. #2767C22semidirect
51. #2767C22semidirect
52. #2767C22semidirect
53. #2764C22semidirect
56. #2747C22semidirect
57. #2745C22semidirect
58. #2739C22semidirect
60. #2738C22semidirect
62. #2719C22semidirect
68. #2612C22semidirect
71. #2590C22semidirect
72. #2582C22semidirect
73. #2581C22semidirect
74. #2580C22semidirect
75. #2575C22semidirect
76. #2571C22semidirect
77. #2570C22semidirect
78. #2570C22semidirect
79. #2570C22semidirect
80. #2570C22semidirect
83. #2552C22semidirect
84. #2552C22semidirect
85. #2552C22semidirect
86. #2538C22semidirect
87. #2533C22semidirect
88. #2530C22semidirect
89. #2528C22semidirect
91. #2524C22semidirect
92. #2524C22semidirect
93. #2520C22semidirect
97. #2511C22semidirect
98. #2509C22semidirect
99. #2509C22semidirect
100. #2509C22semidirect
101. #2508C22semidirect
102. #2508C22semidirect
103. #2508C22semidirect
104. #2507C22semidirect
105. #2507C22semidirect
106. #2507C22semidirect
107. #2507C22semidirect
108. #2507C22semidirect
109. #2506C22semidirect
110. #2506C22semidirect
111. #2506C22semidirect
112. #2506C22semidirect
113. #2506C22semidirect
140. #2484C22semidirect
147. #2475C22semidirect
148. #2475C22semidirect
149. #2475C22semidirect
154. #2462C22semidirect
160. #2442C22semidirect
161. #2442C22semidirect
164. #2441C22semidirect
167. #2440C22semidirect
170. #2439C22semidirect
173. #2438C22semidirect
185. #2421C22semidirect
203. #2370C22semidirect
204. #2370C22semidirect
205. #2370C22semidirect
206. #2369C22semidirect
207. #2365C22semidirect
210. #2357C22semidirect
211. #2356C22semidirect
212. #2355C22semidirect
213. #2355C22semidirect
214. #2355C22semidirect
215. #2355C22semidirect
216. #2355C22semidirect
217. #2355C22semidirect
219. #2354C22semidirect
220. #2354C22semidirect
221. #2354C22semidirect
226. #2351C22semidirect
227. Q8×C4⋊C4C22semidirect
228. Q8×C4⋊C4C22semidirect
230. #2349C22semidirect
233. D4×C4⋊C4C22semidirect
235. #2347C22semidirect
237. #2346C22semidirect
239. #2345C22semidirect
241. #2344C22semidirect
243. #2343C22semidirect
255. #2317C22semidirect
258. #2316C22semidirect
261. #2314C22semidirect
262. #2314C22semidirect
276. #2296C22semidirect
279. C2×#389C22semidirect
285. #2285C22semidirect
286. #2285C22semidirect
1601. C2×C4#552semidirect

Maximal subgroups

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

subgroupindex
#594952
#592952
#592932
#592902
#592882
#592642
#592612
#592582
#592492
#591692
#453462
#452882
#451322
#451182
#450502
#450172
#449242
#449042
#432462
#432232
#355852
#355552
#355442
#355432
#355192
#355162
C2×#24962
#347422
#347392
#342522
#342502
#342132
#342022
#341882
#341802