Finite Group Databasebeta

← #7686309

Subgroups — #7686309

Order 512.

5119 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59855C212yesmaximal, complemented
2#59821C211yesmaximal, characteristic, complemented
3#59785C214yesmaximal, complemented
4#59548C212yesmaximal, complemented
5#59483C212yesmaximal, complemented
6#59410C211yesmaximal, characteristic, complemented
7#59410C211yesmaximal, characteristic, complemented
8#59059C212yesmaximal, complemented
9#45026C212yesmaximal, complemented
10#44924C212yesmaximal, complemented
11#44034C214yesmaximal, complemented
12#43970C214yesmaximal, complemented
13#40353C214yesmaximal, complemented
14#39539C212yesmaximal, complemented
15#39507C211yesmaximal, characteristic, complemented
16#39287C212yesmaximal, complemented
17#39028C212yesmaximal, complemented
18#38975C211yesmaximal, characteristic, complemented
19#36574C211yesmaximal, characteristic, complemented
20#36477C211yesmaximal, characteristic, complemented
21#36453C211yesmaximal, characteristic, complemented
22#36417C212yesmaximal, complemented
23#36375C212yesmaximal, complemented
24#36298C212yesmaximal, complemented
25#36270C211yesmaximal, characteristic, complemented
26#36114C211yesmaximal, characteristic, complemented
27#35884C212yesmaximal, complemented
28#35704C212yesmaximal, complemented
29#34911C212yesmaximal, complemented
30#34902C211yesmaximal, characteristic, complemented
31#34324C211yesmaximal, characteristic, complemented
32#34308C211yesmaximal, characteristic, complemented
33#34263C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#552C2212yes—
39C2×#550C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#529C2212yes—
42C2×#520C2212yes—
43C2×C4×#41C2212yes—
44#2865C2214yes—
45#2860C2212yes—
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2855C2212yes—
50#2855C2212yes—
51#2851C2212yes—
52#2803C2214yes—
53#2803C2214yes—
54#2803C2214yes—
55#2800C2214yes—
56#2797C2214yes—
57#2791C2214yes—
58#2776C2214yes—
59#2773C2214yes—
60#2761C2214yes—
61#2761C2214yes—
62#2753C2214yes—
63#2753C2214yes—
64#2749C2214yes—
65#2743C2214yes—
66#2740C2214yes—
67#2727C2214yes—
68#2721C2214yes—
69#2707C2214yes—
70#2705C2214yes—
71#2705C2214yes—
72#2705C2214yes—
73#2654C2214yes—
74#2644C2212yes—
75#2635C2214yes—
76#2619C2212yes—
77#2608C2214yes—
78#2604C2214yes—
79#2603C2214yes—
80#2602C2214yes—
81#2602C2214yes—
82#2601C2214yes—
83#2597C2214yes—
84#2596C2212yes—
85#2595C2214yes—
86#2594C2214yes—
87#2594C2212yes—
88#2592C2211yescharacteristic
89#2591C2214yes—
90#2587C2214yes—
91#2584C2212yes—
92#2584C2212yes—
93#2581C2211yescharacteristic
94#2581C2212yes—
95#2576C2214yes—
96#2576C2214yes—
97#2570C2211yescharacteristic
98#2570C2212yes—
99#2566C2212yes—
100#2562C2212yes—
101#2558C2214yes—
102#2554C2214yes—
103#2554C2214yes—
104#2554C2214yes—
105#2554C2214yes—
106#2548C2212yes—
107#2545C2211yescharacteristic
108#2542C2212yes—
109#2540C2212yes—
110#2540C2212yes—
111#2538C2211yescharacteristic
112#2538C2211yescharacteristic
113#2538C2211yescharacteristic
114#2538C2211yescharacteristic
115#2537C2211yescharacteristic
116#2537C2211yescharacteristic
117#2536C2212yes—
118#2531C2214yes—
119#2530C2214yes—
120#2528C2214yes—
121#2526C2214yes—
122#2525C2212yes—
123#2525C2214yes—
124#2525C2214yes—
125#2522C2214yes—
126#2516C2214yes—
127#2514C2211yescharacteristic
128#2512C2214yes—
129#2512C2211yescharacteristic
130#2510C2214yes—
131#2510C2214yes—
132#2509C2212yes—
133#2509C2212yes—
134#2508C2212yes—
135#2508C2212yes—
136#2507C2212yes—
137#2506C2212yes—
138#2497C2212yes—
139#2496C2212yes—
140#2494C2212yes—
141#2494C2212yes—
142#2490C2212yes—
143#2490C2212yes—
144#2486C2212yes—
145#2485C2212yes—
146#2485C2212yes—
147#2485C2212yes—
148#2479C2214yes—
149#2478C2214yes—
150#2476C2214yes—
151#2476C2214yes—
152#2475C2214yes—
153#2471C2214yes—
154#2470C2214yes—
155#2469C2212yes—
156#2468C2214yes—
157#2466C2214yes—
158#2466C2214yes—
159#2462C2214yes—
160#2460C2214yes—
161#2456C2214yes—
162#2456C2214yes—
163#2454C2214yes—
164#2453C2212yes—
165#2453C2212yes—
166#2448C2212yes—
167#2448C2211yescharacteristic
168#2448C2212yes—
169#2446C2211yescharacteristic
170#2445C2212yes—
171#2445C2212yes—
172#2431C2212yes—
173#2431C2212yes—
174#2429C2212yes—
175#2427C2212yes—
176#2426C2212yes—
177#2426C2212yes—
178#2423C2212yes—
179#2423C2212yes—
180#2422C2212yes—
181#2421C2212yes—
182#2420C2212yes—
183#2420C2212yes—
184#2419C2214yes—
185#2417C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2415C2212yes—
189#2415C2212yes—
190#2415C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2212yes—
194#2414C2212yes—
195#2406C2214yes—
196#2401C2212yes—
197#2396C2212yes—
198#2395C2214yes—
199#2388C2214yes—
200#2373C2214yes—
201#2373C2214yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2367C2212yes—
206#2367C2212yes—
207#2366C2211yescharacteristic
208#2366C2211yescharacteristic
209#2366C2211yescharacteristic
210#2365C2211yescharacteristic
211#2363C2212yes—
212#2363C2212yes—
213#2363C2212yes—
214#2362C2212yes—
215#2362C2212yes—
216#2361C2212yes—
217#2361C2212yes—
218#2361C2212yes—
219#2360C2212yes—
220#2359C2214yes—
221#2359C2214yes—
222#2357C2214yes—
223#2357C2212yes—
224#2356C2212yes—
225#2355C2212yes—
226#2355C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2212yes—
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2214yes—
234#2352C2212yes—
235#2352C2212yes—
236#2352C2212yes—
237#2351C2212yes—
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240Q8×C4⋊C4C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243#2347C2212yes—
244#2346C2212yes—
245#2345C2212yes—
246#2345C2214yes—
247#2344C2212yes—
248#2344C2212yes—
249#2344C2214yes—
250#2341C2212yes—
251#2341C2212yes—
252#2341C2212yes—
253#2339C2212yes—
254#2334C2214yes—
255#2326C2212yes—
256#2323C2212yes—
257#2322C2214yes—
258#2319C2212yes—
259#2319C2214yes—
260#2314C2214yes—
261#2314C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#127C2211yescharacteristic
269C4×#126C2212yes—
270C4×#126C2214yes—
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2298C2214yes—
283#2298C2212yes—
284#2296C2212yes—
285#2295C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2214yes—
289#2293C2214yes—
290C2×#389C2212yes—
291#2276C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301#556—28no—
302#556—28no—
303#552—48no—
304#550—28no—
305#547—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2311yescharacteristic
311#529—48no—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344#520—216no—
345C4×#41—48no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2314yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C42C2312yes—
402C22×C42C2312yes—
403C22×C42C2312yes—
404#401C2314yes—
405#401C2312yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#399C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#395C2312yes—
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#394C2314yes—
474#394C2314yes—
475#393C2312yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2314yes—
527#390C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
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#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2314yes—
704#383C2314yes—
705#383C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809#376C2312yes—
810#376C2314yes—
811#376C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2314yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C4⋊Q8—42no—
855C4⋊Q8#4118yescomplemented
856#127—24no—
857#127—24no—
858#127—24no—
859#126—216no—
860#126—216no—
861#126—48no—
862#126—48no—
863#126—44no—
864#125—28no—
865#125—44no—
866#125—44no—
867#125—48no—
868#124—28no—
869#124—28no—
870#124—24no—
871#124—42no—
872#123—216no—
873#123—48no—
874#123—48no—
875#123—48no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883#121—28no—
884#121—28no—
885#121—28no—
886#121—28no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—42no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—42no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×D4—28no—
907C4×D4—216no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—216no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—48no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4#4118yes—
931#117—28no—
932#117—28no—
933#117—216no—
934#117—28no—
935#117—44no—
936#117—44no—
937#117—48no—
938#117—48no—
939#117—44no—
940#117—44no—
941#117—44no—
942C2×C4⋊C4—216no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C42—28no—
1073C2×C42—44no—
1074C2×C42—44no—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2414yes—
1161#95C2414yes—
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182C24C2512yes—
1183C24C2512yes—
1184C24C2512yes—
1185C24C2512yes—
1186#41—432no—
1187#41—432no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8C2×#4118yes—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4C2×#4114yes—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—28no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—24no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4C2×#4118yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2514yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2514yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4C2×#4114yes—
1376C4⋊C4C2×#4118yes—
1377C4⋊C4C2×#4118yes—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4C2×#4118yes—
1435C42—28no—
1436C42—28no—
1437C42—24no—
1438C42—28no—
1439C42—28no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—41no—
1462C42—41no—
1463C42—41no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—41no—
1471C42—41no—
1472C42—44no—
1473C42—42no—
1474C42—42no—
1475C42C2×#4114yes—
1476C42C2×#4114yes—
1477C42H(5,𝔽2)14yes—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23C22×#4114yes—
1506C23C2611yescharacteristic
1507Q8—28no—
1508Q8—216no—
1509Q8—44no—
1510Q8—44no—
1511D4—28no—
1512D4—48no—
1513D4—48no—
1514D4—416no—
1515D4—48no—
1516D4—44no—
1517D4—44no—
1518D4—44no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—88no—
1523D4—88no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—48no—
1604C2×C4—48no—
1605C2×C4—48no—
1606C2×C4—416no—
1607C2×C4—48no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—48no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—88no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4118yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4112yes—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×H(5,𝔽2)12yes—
1627C2×C4#58512yes—
1628C2×C4#58512yes—
1629C2×C4#58512yes—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22C23×#4111yescharacteristic
1659C22C23×#4111yescharacteristic
1660C22C22×H(5,𝔽2)11yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22C2×#58511yescharacteristic
1663C22C2×#58511yescharacteristic
1664C222−1+611yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—24no—
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—28no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—44no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—44no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—41no—
1690C4—41no—
1691C4—42no—
1692C4—44no—
1693C4—42no—
1694C4#347514yes—
1695C4#351714yes—
1696C2—44no—
1697C2—82no—
1698C2—82no—
1699C2—82no—
1700C2C2×#347511yescharacteristic
1701C2#6277311yescharacteristic
1702C2C2×#351711yescharacteristic
1703C2#6296011yescharacteristic
1704C2#6299511yescharacteristic
1705C2#6300711yescharacteristic
1706C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59855C2semidirect
2. #59821C2semidirect
3. #59785C2semidirect
4. #59548C2semidirect
5. #59483C2semidirect
6. #59410C2semidirect
7. #59410C2semidirect
8. #59059C2semidirect
9. #45026C2semidirect
10. #44924C2semidirect
11. #44034C2semidirect
12. #43970C2semidirect
13. #40353C2semidirect
14. #39539C2semidirect
15. #39507C2semidirect
16. #39287C2semidirect
17. #39028C2semidirect
18. #38975C2semidirect
19. #36574C2semidirect
20. #36477C2semidirect
21. #36453C2semidirect
22. #36417C2semidirect
23. #36375C2semidirect
24. #36298C2semidirect
25. #36270C2semidirect
26. #36114C2semidirect
27. #35884C2semidirect
28. #35704C2semidirect
29. #34911C2semidirect
30. #34902C2semidirect
31. #34324C2semidirect
32. #34308C2semidirect
33. #34263C2semidirect
34. C4×#556C2semidirect
35. C4×#550C2semidirect
855. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598552
#598212
#597852
#595482
#594832
#594102
#590592
#450262
#449242
#440342
#439702
#403532
#395392
#395072
#392872
#390282
#389752
#365742
#364772
#364532
#364172
#363752
#362982
#362702
#361142
#358842
#357042
#349112
#349022
#343242
#343082
#342632
C4×#5562
C4×#5502