Finite Group Databasebeta

← #7690798

Subgroups — #7690798

Order 512.

5053 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59894C212yesmaximal, complemented
2#59821C211yesmaximal, characteristic, complemented
3#59734C214yesmaximal, complemented
4#59679C212yesmaximal, complemented
5#59646C211yesmaximal, characteristic, complemented
6#59434C211yesmaximal, characteristic, complemented
7#59399C212yesmaximal, complemented
8#59118C212yesmaximal, complemented
9#45370C212yesmaximal, complemented
10#44969C212yesmaximal, complemented
11#44276C214yesmaximal, complemented
12#43331C214yesmaximal, complemented
13#40278C214yesmaximal, complemented
14#39808C212yesmaximal, complemented
15#39783C212yesmaximal, complemented
16#39747C211yesmaximal, characteristic
17#39215C212yesmaximal, complemented
18#39174C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36527C212yesmaximal, complemented
21#36508C211yesmaximal, characteristic, complemented
22#36454C211yesmaximal, characteristic, complemented
23#36443C212yesmaximal, complemented
24#36402C212yesmaximal, complemented
25#36271C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35968C212yesmaximal, complemented
28#35956C212yesmaximal, complemented
29#34920C211yesmaximal, characteristic, complemented
30#34724C212yesmaximal, complemented
31#34337C211yesmaximal, characteristic, complemented
32#34324C211yesmaximal, characteristic, complemented
33#34324C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#556C2212yes—
40C2×#556C2212yes—
41C2×#550C2211yescharacteristic
42C2×#529C2212yes—
43C2×C4×#41C2212yes—
44#2862C2211yescharacteristic
45#2861C2212yes—
46#2860C2212yes—
47#2858C2211yescharacteristic
48#2858C2211yescharacteristic
49#2855C2212yes—
50#2852C2214yes—
51#2850C2212yes—
52#2803C2214yes—
53#2803C2214yes—
54#2803C2214yes—
55#2800C2214yes—
56#2800C2214yes—
57#2797C2214yes—
58#2795C2214yes—
59#2788C2214yes—
60#2787C2214yes—
61#2783C2214yes—
62#2780C2214yes—
63#2779C2214yes—
64#2777C2214yes—
65#2775C2214yes—
66#2727C2214yes—
67#2718C2214yes—
68#2714C2214yes—
69#2714C2214yes—
70#2711C2214yes—
71#2711C2214yes—
72#2710C2214yes—
73#2662C2214yes—
74#2657C2212yes—
75#2651C2214yes—
76#2641C2212yes—
77#2610C2214yes—
78#2603C2214yes—
79#2602C2214yes—
80#2602C2214yes—
81#2601C2214yes—
82#2601C2214yes—
83#2600C2214yes—
84#2599C2214yes—
85#2597C2214yes—
86#2595C2214yes—
87#2595C2214yes—
88#2594C2214yes—
89#2594C2214yes—
90#2593C2214yes—
91#2593C2214yes—
92#2592C2212yes—
93#2592C2212yes—
94#2592C2212yes—
95#2590C2212yes—
96#2588C2212yes—
97#2584C2211yescharacteristic
98#2581C2211yescharacteristic
99#2580C2212yes—
100#2576C2214yes—
101#2576C2214yes—
102#2575C2214yes—
103#2566C2212yes—
104#2566C2214yes—
105#2565C2211yescharacteristic
106#2565C2212yes—
107#2560C2214yes—
108#2558C2214yes—
109#2554C2214yes—
110#2554C2214yes—
111#2550C2211yescharacteristic
112#2548C2212yes—
113#2548C2211yescharacteristic
114#2548C2212yes—
115#2548C2212yes—
116#2548C2212yes—
117#2547C2211yescharacteristic
118#2546C2211yescharacteristic
119#2545C2212yes—
120#2545C2212yes—
121#2545C2212yes—
122#2544C2212yes—
123#2542C2211yescharacteristic
124#2542C2211yescharacteristic
125#2541C2211yescharacteristic
126#2538C2212yes—
127#2531C2214yes—
128#2526C2214yes—
129#2520C2212yes—
130#2519C2214yes—
131#2519C2214yes—
132#2518C2214yes—
133#2517C2214yes—
134#2514C2212yes—
135#2513C2212yes—
136#2513C2212yes—
137#2513C2214yes—
138#2513C2212yes—
139#2512C2212yes—
140#2512C2212yes—
141#2512C2212yes—
142#2512C2214yes—
143#2512C2212yes—
144#2511C2212yes—
145#2508C2211yescharacteristic
146#2506C2211yescharacteristic
147#2500C2212yes—
148#2497C2212yes—
149#2494C2212yes—
150#2490C2212yes—
151#2489C2212yes—
152#2479C2214yes—
153#2478C2214yes—
154#2471C2214yes—
155#2470C2214yes—
156#2469C2214yes—
157#2468C2214yes—
158#2467C2214yes—
159#2466C2214yes—
160#2466C2214yes—
161#2466C2214yes—
162#2462C2212yes—
163#2461C2214yes—
164#2461C2214yes—
165#2459C2214yes—
166#2455C2214yes—
167#2453C2211yescharacteristic
168#2452C2212yes—
169#2451C2211yescharacteristic
170#2448C2212yes—
171#2448C2212yes—
172#2448C2212yes—
173#2448C2214yes—
174#2447C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2445C2212yes—
178#2445C2212yes—
179#2441C2212yes—
180#2432C2212yes—
181#2432C2212yes—
182#2429C2212yes—
183#2429C2212yes—
184#2427C2212yes—
185#2426C2212yes—
186#2426C2212yes—
187#2426C2212yes—
188#2422C2212yes—
189#2421C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2414C2212yes—
193#2414C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2402C2212yes—
197#2399C2212yes—
198#2395C2214yes—
199#2392C2214yes—
200#2374C2212yes—
201#2374C2212yes—
202#2373C2214yes—
203#2373C2214yes—
204#2373C2214yes—
205#2370C2214yes—
206#2370C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2211yescharacteristic
212#2367C2212yes—
213#2367C2212yes—
214#2367C2211yescharacteristic
215#2367C2212yes—
216#2366C2211yescharacteristic
217#2366C2212yes—
218#2366C2212yes—
219#2366C2211yescharacteristic
220#2365C2211yescharacteristic
221#2365C2212yes—
222#2365C2211yescharacteristic
223#2365C2212yes—
224#2363C2212yes—
225#2363C2214yes—
226#2363C2212yes—
227#2362C2212yes—
228#2362C2214yes—
229#2362C2212yes—
230#2362C2212yes—
231#2357C2212yes—
232#2357C2214yes—
233#2357C2211yescharacteristic
234#2357C2211yescharacteristic
235#2357C2212yes—
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2355C2212yes—
239#2355C2211yescharacteristic
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2212yes—
244Q8×C4⋊C4C2212yes—
245Q8×C4⋊C4C2211yescharacteristic
246Q8×C4⋊C4C2212yes—
247Q8×C4⋊C4C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249#2347C2212yes—
250#2346C2212yes—
251#2346C2214yes—
252#2341C2212yes—
253#2334C2214yes—
254#2334C2214yes—
255#2334C2214yes—
256#2330C2212yes—
257#2330C2214yes—
258#2326C2212yes—
259#2326C2212yes—
260#2326C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2212yes—
268C4×#127C2211yescharacteristic
269C4×#125C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2214yes—
278C4×#123C2212yes—
279C4×#123C2212yes—
280C4×#123C2214yes—
281C4×#121C2212yes—
282C4×#121C2214yes—
283#2296C2212yes—
284#2296C2214yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2293C2212yes—
290#2276C2212yes—
291#2276C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300#559—28no—
301#557—28no—
302#556—28no—
303#556—216no—
304#556—48no—
305#550—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315#529—48no—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C4×#41—48no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2314yes—
399C22×C42C2312yes—
400C22×C42C2314yes—
401C22×C42C2312yes—
402#401C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#395C2312yes—
451#395C2312yes—
452#395C2312yes—
453#395C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2314yes—
681#386C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2312yes—
706#384C2314yes—
707#383C2314yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2314yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#381C2314yes—
719#381C2312yes—
720#381C2314yes—
721#381C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852#127—24no—
853#127—28no—
854#127—24no—
855#127—44no—
856#126—216no—
857#126—216no—
858#126—216no—
859#126—48no—
860#126—48no—
861#126—48no—
862#125—216no—
863#125—24no—
864#125—28no—
865#125—44no—
866#125—42no—
867#124—28no—
868#124—24no—
869#124—24no—
870#124—28no—
871#124—28no—
872#124—28no—
873#124—44no—
874#124—44no—
875#124—44no—
876#124—44no—
877#124—48no—
878#123—28no—
879#123—28no—
880#123—48no—
881#123—48no—
882C22⋊Q8—28no—
883C22⋊Q8—216no—
884C22⋊Q8—28no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888#121—28no—
889#121—216no—
890#121—44no—
891#121—44no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—24no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—42no—
901C4×Q8—42no—
902C4×Q8—44no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—48no—
909C4×Q8—44no—
910C4×Q8#4118yes—
911C4×Q8#4118yescomplemented
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—48no—
921C4×D4—42no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—48no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—48no—
932#117—28no—
933#117—28no—
934#117—216no—
935#117—48no—
936#117—48no—
937#117—44no—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
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⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C42—44no—
1061C2×C42—48no—
1062C2×C42—44no—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2414yes—
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24C2512yes—
1179C24C2514yes—
1180C24C2512yes—
1181#41—432no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—41no—
1196C2×Q8—41no—
1197C2×Q8—42no—
1198C2×Q8C2×#4114yes—
1199C2×Q8C2×#4114yes—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C22×C4—28no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—28no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—41no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4C2×#4114yes—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4C2×#4118yes—
1361C4⋊C4C2×#4118yes—
1362C4⋊C4H(5,𝔽2)14yes—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
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—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C42—28no—
1415C42—28no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—28no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—28no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—42no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—42no—
1442C42—41no—
1443C42—41no—
1444C42—41no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—42no—
1450C42—41no—
1451C42—41no—
1452C42—42no—
1453C42—44no—
1454C42—42no—
1455C42—44no—
1456C42—44no—
1457C42C2×#4118yes—
1458C42C2×#4114yes—
1459C42C2×#4118yes—
1460C42C2×#4114yes—
1461C23—24no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—24no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—24no—
1470C23—22no—
1471C23—22no—
1472C23—24no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—24no—
1477C23—24no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—22no—
1482C23C2611yescharacteristic
1483Q8—28no—
1484Q8—28no—
1485Q8—48no—
1486Q8—44no—
1487Q8—48no—
1488Q8—48no—
1489D4—48no—
1490D4—416no—
1491D4—44no—
1492D4—48no—
1493D4—44no—
1494D4—48no—
1495D4—84no—
1496D4—84no—
1497D4—88no—
1498D4—88no—
1499D4—164no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—416no—
1582C2×C4—416no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—88no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4114yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4114yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4112yes—
1600C2×C4C2×H(5,𝔽2)14yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4#58512yes—
1603C2×C4#58512yes—
1604C2×C4#58512yes—
1605C22—44no—
1606C22—42no—
1607C22—42no—
1608C22—44no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—44no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—44no—
1620C22—42no—
1621C22—44no—
1622C22—42no—
1623C22—42no—
1624C22—44no—
1625C22—42no—
1626C22C23×#4111yescharacteristic
1627C22C23×#4111yescharacteristic
1628C22C22×H(5,𝔽2)11yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C222−1+611yescharacteristic
1633C4—24no—
1634C4—24no—
1635C4—22no—
1636C4—22no—
1637C4—24no—
1638C4—22no—
1639C4—24no—
1640C4—22no—
1641C4—24no—
1642C4—41no—
1643C4—41no—
1644C4—42no—
1645C4—42no—
1646C4—41no—
1647C4—44no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—42no—
1655C4—42no—
1656C4—41no—
1657C4—41no—
1658C4—44no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4#348014yes—
1664C4#350614yes—
1665C2—84no—
1666C2—82no—
1667C2—82no—
1668C2C2×#348011yescharacteristic
1669C2C2×#350611yescharacteristic
1670C2#6279311yescharacteristic
1671C2#6296811yescharacteristic
1672C2#6298511yescharacteristic
1673C2#6299511yescharacteristic
1674C2#6301911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39747C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59894C2semidirect
2. #59821C2semidirect
3. #59734C2semidirect
4. #59679C2semidirect
5. #59646C2semidirect
6. #59434C2semidirect
7. #59399C2semidirect
8. #59118C2semidirect
9. #45370C2semidirect
10. #44969C2semidirect
11. #44276C2semidirect
12. #43331C2semidirect
13. #40278C2semidirect
14. #39808C2semidirect
15. #39783C2semidirect
17. #39215C2semidirect
18. #39174C2semidirect
19. #36609C2semidirect
20. #36527C2semidirect
21. #36508C2semidirect
22. #36454C2semidirect
23. #36443C2semidirect
24. #36402C2semidirect
25. #36271C2semidirect
26. #36115C2semidirect
27. #35968C2semidirect
28. #35956C2semidirect
29. #34920C2semidirect
30. #34724C2semidirect
31. #34337C2semidirect
32. #34324C2semidirect
33. #34324C2semidirect
34. C4×#559C2semidirect
35. C4×#550C2semidirect
911. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598942
#598212
#597342
#596792
#596462
#594342
#593992
#591182
#453702
#449692
#442762
#433312
#402782
#398082
#397832
#397472
#392152
#391742
#366092
#365272
#365082
#364542
#364432
#364022
#362712
#361152
#359682
#359562
#349202
#347242
#343372
#343242
C4×#5592
C4×#5502