Finite Group Databasebeta

← #7686639

Subgroups — #7686639

Order 512.

4697 conjugacy classes of subgroups.

The subgroup lattice has 1605 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60013C214yesmaximal, complemented
2#59638C212yesmaximal, complemented
3#59509C212yesmaximal, complemented
4#59497C212yesmaximal, complemented
5#59445C211yesmaximal, characteristic, complemented
6#59435C211yesmaximal, characteristic, complemented
7#59427C211yesmaximal, characteristic, complemented
8#59264C212yesmaximal, complemented
9#45390C212yesmaximal, complemented
10#44956C212yesmaximal, complemented
11#44804C214yesmaximal, complemented
12#43993C214yesmaximal, complemented
13#40334C214yesmaximal, complemented
14#39816C212yesmaximal, complemented
15#39534C212yesmaximal, complemented
16#39489C211yesmaximal, characteristic
17#39011C212yesmaximal, complemented
18#38958C211yesmaximal, characteristic
19#36598C211yesmaximal, characteristic, complemented
20#36563C211yesmaximal, characteristic, complemented
21#36556C211yesmaximal, characteristic, complemented
22#36372C212yesmaximal, complemented
23#36314C212yesmaximal, complemented
24#36284C212yesmaximal, complemented
25#36276C211yesmaximal, characteristic, complemented
26#36175C211yesmaximal, characteristic, complemented
27#35817C212yesmaximal, complemented
28#35745C212yesmaximal, complemented
29#34912C212yesmaximal, complemented
30#34893C211yesmaximal, characteristic, complemented
31#34317C211yesmaximal, characteristic, complemented
32#34311C211yesmaximal, characteristic, complemented
33#34254C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#555C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×#519C2212yes—
41#2868C2211yescharacteristic
42#2864C2212yes—
43#2864C2214yes—
44#2862C2211yescharacteristic
45#2862C2211yescharacteristic
46#2859C2212yes—
47#2857C2212yes—
48#2851C2212yes—
49#2798C2214yes—
50#2783C2214yes—
51#2783C2214yes—
52#2781C2214yes—
53#2779C2214yes—
54#2775C2214yes—
55#2774C2214yes—
56#2766C2214yes—
57#2765C2214yes—
58#2764C2214yes—
59#2762C2214yes—
60#2755C2214yes—
61#2754C2214yes—
62#2744C2214yes—
63#2738C2214yes—
64#2725C2214yes—
65#2719C2214yes—
66#2700C2214yes—
67#2700C2214yes—
68#2674C2214yes—
69#2674C2214yes—
70#2654C2214yes—
71#2637C2214yes—
72#2620C2212yes—
73#2620C2212yes—
74#2612C2214yes—
75#2612C2214yes—
76#2611C2214yes—
77#2609C2214yes—
78#2608C2214yes—
79#2607C2214yes—
80#2606C2214yes—
81#2605C2214yes—
82#2604C2214yes—
83#2601C2214yes—
84#2592C2212yes—
85#2589C2212yes—
86#2589C2214yes—
87#2588C2214yes—
88#2587C2212yes—
89#2587C2214yes—
90#2584C2211yescharacteristic
91#2582C2212yes—
92#2582C2212yes—
93#2580C2211yescharacteristic
94#2573C2214yes—
95#2571C2212yes—
96#2571C2212yes—
97#2570C2212yes—
98#2570C2212yes—
99#2570C2212yes—
100#2568C2212yes—
101#2568C2212yes—
102#2567C2211yescharacteristic
103#2567C2211yescharacteristic
104#2567C2211yescharacteristic
105#2566C2211yescharacteristic
106#2563C2211yescharacteristic
107#2558C2214yes—
108#2553C2214yes—
109#2552C2212yes—
110#2552C2212yes—
111#2550C2214yes—
112#2550C2211yescharacteristic
113#2550C2212yes—
114#2550C2212yes—
115#2549C2214yes—
116#2549C2214yes—
117#2547C2211yescharacteristic
118#2546C2211yescharacteristic
119#2545C2212yes—
120#2533C2214yes—
121#2533C2214yes—
122#2532C2214yes—
123#2530C2214yes—
124#2530C2214yes—
125#2527C2214yes—
126#2527C2214yes—
127#2523C2214yes—
128#2522C2212yes—
129#2522C2214yes—
130#2520C2214yes—
131#2519C2214yes—
132#2514C2212yes—
133#2512C2212yes—
134#2511C2212yes—
135#2511C2212yes—
136#2511C2212yes—
137#2511C2212yes—
138#2509C2211yescharacteristic
139#2509C2212yes—
140#2508C2212yes—
141#2508C2212yes—
142#2507C2211yescharacteristic
143#2507C2212yes—
144#2507C2212yes—
145#2506C2212yes—
146#2502C2212yes—
147#2501C2212yes—
148#2499C2212yes—
149#2499C2212yes—
150#2498C2214yes—
151#2497C2212yes—
152#2496C2212yes—
153#2495C2214yes—
154#2495C2212yes—
155#2495C2212yes—
156#2495C2212yes—
157#2494C2212yes—
158#2488C2214yes—
159#2479C2214yes—
160#2477C2214yes—
161#2475C2214yes—
162#2470C2214yes—
163#2469C2214yes—
164#2468C2214yes—
165#2465C2212yes—
166#2465C2214yes—
167#2462C2214yes—
168#2460C2214yes—
169#2458C2214yes—
170#2454C2211yescharacteristic
171#2452C2211yescharacteristic
172#2451C2214yes—
173#2448C2212yes—
174#2447C2212yes—
175#2446C2212yes—
176#2446C2212yes—
177#2446C2212yes—
178#2446C2212yes—
179#2441C2212yes—
180#2441C2212yes—
181#2441C2212yes—
182#2439C2212yes—
183#2439C2212yes—
184#2439C2212yes—
185#2436C2212yes—
186#2434C2212yes—
187#2422C2212yes—
188#2422C2212yes—
189#2421C2214yes—
190#2420C2212yes—
191#2420C2212yes—
192#2419C2214yes—
193#2396C2214yes—
194#2396C2212yes—
195#2396C2212yes—
196#2396C2214yes—
197#2373C2212yes—
198#2373C2212yes—
199#2372C2214yes—
200#2370C2212yes—
201#2370C2212yes—
202#2369C2211yescharacteristic
203#2369C2211yescharacteristic
204#2367C2212yes—
205#2367C2211yescharacteristic
206#2367C2211yescharacteristic
207#2365C2211yescharacteristic
208#2365C2212yes—
209#2365C2211yescharacteristic
210#2365C2212yes—
211#2365C2212yes—
212#2363C2212yes—
213#2363C2212yes—
214#2362C2214yes—
215#2362C2214yes—
216#2362C2212yes—
217#2362C2212yes—
218#2362C2212yes—
219#2359C2214yes—
220#2357C2212yes—
221#2356C2212yes—
222#2356C2212yes—
223#2356C2212yes—
224#2356C2211yescharacteristic
225#2356C2211yescharacteristic
226#2355C2211yescharacteristic
227#2355C2212yes—
228#2355C2211yescharacteristic
229#2355C2212yes—
230#2355C2212yes—
231#2355C2212yes—
232#2355C2212yes—
233#2354C2211yescharacteristic
234#2354C2212yes—
235#2354C2211yescharacteristic
236#2354C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2212yes—
239#2349C2212yes—
240#2349C2212yes—
241#2347C2212yes—
242#2346C2212yes—
243#2346C2212yes—
244#2346C2212yes—
245#2346C2212yes—
246#2344C2212yes—
247#2343C2214yes—
248#2343C2214yes—
249#2343C2214yes—
250#2343C2214yes—
251Q8×C22⋊C4C2212yes—
252#2332C2214yes—
253#2323C2214yes—
254#2323C2212yes—
255#2323C2212yes—
256#2320C2214yes—
257#2320C2214yes—
258#2317C2212yes—
259#2310C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2212yes—
267C4×#125C2212yes—
268C4×#125C2211yescharacteristic
269C4×#125C2211yescharacteristic
270C4×#125C2212yes—
271C4×#126C2212yes—
272C4×#126C2212yes—
273C4×#124C2211yescharacteristic
274C4×#124C2211yescharacteristic
275C4×#124C2214yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2296C2212yes—
281#2295C2214yes—
282#2295C2214yes—
283#2295C2214yes—
284C2×#391C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2283C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2212yes—
298C4×#117C2212yes—
299C23×Q8C2312yes—
300#556—28no—
301#555—28no—
302#554—28no—
303D4×Q8—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#124C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335#519—216no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2314yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2314yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2314yes—
362C2×C4×D4C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C42C2312yes—
376C22×C42C2312yes—
377#401C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#399C2312yes—
396#399C2312yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#396C2312yes—
428#396C2312yes—
429#396C2312yes—
430#396C2314yes—
431#396C2314yes—
432#396C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2312yes—
442#395C2312yes—
443#395C2314yes—
444#395C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#393C2314yes—
450#393C2312yes—
451#393C2314yes—
452#393C2312yes—
453#393C2314yes—
454#393C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2314yes—
459#391C2312yes—
460#391C2314yes—
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#383C2312yes—
680#383C2312yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2314yes—
697#382C2311yescharacteristic
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#382C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2314yes—
801#376C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2314yes—
815C22×Q8—28no—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—82no—
846#126—28no—
847#126—28no—
848#126—84no—
849#125—28no—
850#125—24no—
851#125—24no—
852#125—84no—
853#125—84no—
854#124—24no—
855#124—216no—
856#124—24no—
857#124—44no—
858#123—48no—
859#123—84no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—216no—
865C22⋊Q8—44no—
866#121—28no—
867#121—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—216no—
871C4×Q8—24no—
872C4×Q8—216no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—44no—
879C4×Q8—42no—
880C4×Q8—42no—
881C4×Q8—48no—
882C4×Q8—42no—
883C4×Q8—82no—
884C4×Q8—82no—
885C4×Q8#4118yes—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—42no—
893C4×D4—84no—
894C4×D4#4118yes—
895#117—28no—
896#117—28no—
897#117—216no—
898#117—28no—
899#117—28no—
900#117—216no—
901#117—28no—
902#117—28no—
903#117—44no—
904#117—44no—
905#117—84no—
906C2×C4⋊C4—28no—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C42—28no—
1022C2×C42—44no—
1023C2×C42C2411yescharacteristic
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153C24C2512yes—
1154C24C2512yes—
1155C2×Q8—22no—
1156C2×Q8—28no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—28no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—42no—
1172C2×Q8—41no—
1173C2×Q8—44no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—432no—
1179C2×Q8C2×#4114yes—
1180C2×D4—28no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4C2×#4114yes—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—28no—
1192C22×C4—28no—
1193C22×C4—28no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4C2×#4118yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C4⋊C4—22no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—41no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4C2×#4114yes—
1323C4⋊C4C2×#4114yes—
1324C4⋊C4C2×#4118yes—
1325C4⋊C42−1+414yes—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4C2×#4118yes—
1360C42—28no—
1361C42—28no—
1362C42—28no—
1363C42—24no—
1364C42—28no—
1365C42—28no—
1366C42—24no—
1367C42—24no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—28no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—24no—
1384C42—24no—
1385C42—22no—
1386C42—22no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—42no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C42—44no—
1395C42—42no—
1396C42—41no—
1397C42—41no—
1398C42—42no—
1399C42—41no—
1400C42—41no—
1401C42—44no—
1402C42—42no—
1403C42—41no—
1404C42C2×#4118yes—
1405C42C2×#4114yes—
1406C42C2×#4114yes—
1407C422−1+414yes—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23C22×#4114yes—
1422C23C2611yescharacteristic
1423Q8—28no—
1424Q8—48no—
1425Q8—44no—
1426Q8—416no—
1427Q8—44no—
1428Q8—48no—
1429Q8—84no—
1430Q8—84no—
1431D4—28no—
1432D4—44no—
1433D4—88no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—216no—
1455C2×C4—21no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—48no—
1519C2×C4—416no—
1520C2×C4—48no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—84no—
1524C2×C4—88no—
1525C2×C4C22×#4114yes—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4114yes—
1528C2×C4C22×#4114yes—
1529C2×C4C22×#4112yes—
1530C2×C4C22×#4112yes—
1531C2×C4C22×#4112yes—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4112yes—
1534C2×C4C2×2−1+412yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4C2×2−1+414yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4C2×2−1+412yes—
1539C2×C4#58512yes—
1540C2×C4#58512yes—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22C23×#4111yescharacteristic
1556C22C23×#4111yescharacteristic
1557C22C22×2−1+411yescharacteristic
1558C22C22×2−1+411yescharacteristic
1559C22C2×#58511yescharacteristic
1560C22C2×#58511yescharacteristic
1561C22H(7,𝔽2)11yescharacteristic
1562C4—22no—
1563C4—22no—
1564C4—24no—
1565C4—22no—
1566C4—22no—
1567C4—24no—
1568C4—22no—
1569C4—22no—
1570C4—24no—
1571C4—24no—
1572C4—41no—
1573C4—44no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—44no—
1579C4—44no—
1580C4—41no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—44no—
1592C4—42no—
1593C4#347514yes—
1594C4#350914yes—
1595C2—44no—
1596C2—82no—
1597C2C2×#347511yescharacteristic
1598C2C2×#350911yescharacteristic
1599C2#6280511yescharacteristic
1600C2#6292911yescharacteristic
1601C2#6299911yescharacteristic
1602C2#6301011yescharacteristic
1603C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#555C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60013C2semidirect
2. #59638C2semidirect
3. #59509C2semidirect
4. #59497C2semidirect
5. #59445C2semidirect
6. #59435C2semidirect
7. #59427C2semidirect
8. #59264C2semidirect
9. #45390C2semidirect
10. #44956C2semidirect
11. #44804C2semidirect
12. #43993C2semidirect
13. #40334C2semidirect
14. #39816C2semidirect
15. #39534C2semidirect
17. #39011C2semidirect
19. #36598C2semidirect
20. #36563C2semidirect
21. #36556C2semidirect
22. #36372C2semidirect
23. #36314C2semidirect
24. #36284C2semidirect
25. #36276C2semidirect
26. #36175C2semidirect
27. #35817C2semidirect
28. #35745C2semidirect
29. #34912C2semidirect
30. #34893C2semidirect
31. #34317C2semidirect
32. #34311C2semidirect
33. #34254C2semidirect
34. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#600132
#596382
#595092
#594972
#594452
#594352
#594272
#592642
#453902
#449562
#448042
#439932
#403342
#398162
#395342
#394892
#390112
#389582
#365982
#365632
#365562
#363722
#363142
#362842
#362762
#361752
#358172
#357452
#349122
#348932
#343172
#343112
#342542
C4×#5562
C4×#5552