Finite Group Databasebeta

← #7693134

Subgroups — #7693134

Order 512.

4821 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59646C211yesmaximal, characteristic, complemented
2#59639C211yesmaximal, characteristic, complemented
3#59567C212yesmaximal, complemented
4#59549C212yesmaximal, complemented
5#59533C214yesmaximal, complemented
6#59445C211yesmaximal, characteristic, complemented
7#59227C212yesmaximal, complemented
8#59083C212yesmaximal, complemented
9#45068C212yesmaximal, complemented
10#45015C212yesmaximal, complemented
11#44547C214yesmaximal, complemented
12#43712C214yesmaximal, complemented
13#40032C212yesmaximal, complemented
14#40029C212yesmaximal, complemented
15#39206C214yesmaximal, complemented
16#39142C212yesmaximal, complemented
17#38986C211yesmaximal, characteristic, complemented
18#38985C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36587C212yesmaximal, complemented
21#36515C212yesmaximal, complemented
22#36515C212yesmaximal, complemented
23#36419C211yesmaximal, characteristic, complemented
24#36412C211yesmaximal, characteristic
25#36185C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#36058C212yesmaximal, complemented
28#35900C212yesmaximal, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34816C212yesmaximal, complemented
31#34330C211yesmaximal, characteristic, complemented
32#34324C211yesmaximal, characteristic, complemented
33#34237C212yesmaximal, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#555C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#529C2212yes—
41#2866C2214yes—
42#2862C2211yescharacteristic
43#2858C2211yescharacteristic
44#2858C2211yescharacteristic
45#2856C2212yes—
46#2850C2212yes—
47#2850C2212yes—
48#2850C2212yes—
49#2803C2214yes—
50#2798C2214yes—
51#2797C2214yes—
52#2789C2214yes—
53#2782C2214yes—
54#2781C2214yes—
55#2781C2214yes—
56#2778C2214yes—
57#2778C2214yes—
58#2774C2214yes—
59#2758C2214yes—
60#2756C2214yes—
61#2749C2214yes—
62#2746C2214yes—
63#2715C2214yes—
64#2711C2214yes—
65#2708C2214yes—
66#2700C2214yes—
67#2696C2214yes—
68#2691C2214yes—
69#2681C2214yes—
70#2653C2214yes—
71#2651C2214yes—
72#2645C2212yes—
73#2644C2212yes—
74#2602C2214yes—
75#2597C2214yes—
76#2597C2214yes—
77#2597C2214yes—
78#2596C2214yes—
79#2595C2214yes—
80#2592C2212yes—
81#2592C2212yes—
82#2592C2212yes—
83#2592C2212yes—
84#2580C2212yes—
85#2578C2214yes—
86#2578C2214yes—
87#2578C2214yes—
88#2576C2214yes—
89#2576C2214yes—
90#2575C2214yes—
91#2573C2212yes—
92#2573C2212yes—
93#2571C2212yes—
94#2571C2211yescharacteristic
95#2570C2212yes—
96#2570C2212yes—
97#2568C2211yescharacteristic
98#2568C2211yescharacteristic
99#2567C2211yescharacteristic
100#2567C2211yescharacteristic
101#2562C2214yes—
102#2560C2214yes—
103#2560C2214yes—
104#2559C2214yes—
105#2559C2214yes—
106#2558C2214yes—
107#2555C2214yes—
108#2555C2214yes—
109#2552C2212yes—
110#2548C2211yescharacteristic
111#2548C2212yes—
112#2547C2211yescharacteristic
113#2544C2212yes—
114#2544C2212yes—
115#2542C2211yescharacteristic
116#2541C2211yescharacteristic
117#2538C2212yes—
118#2538C2211yescharacteristic
119#2529C2214yes—
120#2529C2214yes—
121#2529C2214yes—
122#2527C2214yes—
123#2527C2214yes—
124#2526C2214yes—
125#2521C2214yes—
126#2521C2214yes—
127#2514C2211yescharacteristic
128#2514C2212yes—
129#2514C2212yes—
130#2514C2212yes—
131#2514C2211yescharacteristic
132#2513C2212yes—
133#2513C2212yes—
134#2513C2212yes—
135#2513C2212yes—
136#2513C2214yes—
137#2512C2212yes—
138#2512C2212yes—
139#2512C2212yes—
140#2511C2212yes—
141#2511C2212yes—
142#2510C2214yes—
143#2510C2214yes—
144#2508C2212yes—
145#2506C2212yes—
146#2505C2214yes—
147#2504C2214yes—
148#2500C2212yes—
149#2500C2212yes—
150#2500C2212yes—
151#2500C2212yes—
152#2499C2212yes—
153#2499C2212yes—
154#2494C2212yes—
155#2492C2212yes—
156#2490C2212yes—
157#2489C2214yes—
158#2488C2214yes—
159#2481C2214yes—
160#2481C2214yes—
161#2477C2214yes—
162#2471C2214yes—
163#2467C2214yes—
164#2463C2214yes—
165#2462C2214yes—
166#2457C2214yes—
167#2453C2212yes—
168#2452C2212yes—
169#2448C2212yes—
170#2448C2212yes—
171#2447C2212yes—
172#2447C2212yes—
173#2447C2212yes—
174#2447C2211yescharacteristic
175#2447C2211yescharacteristic
176#2446C2212yes—
177#2445C2212yes—
178#2445C2212yes—
179#2444C2214yes—
180#2444C2214yes—
181#2432C2212yes—
182#2431C2212yes—
183#2428C2212yes—
184#2428C2212yes—
185#2427C2212yes—
186#2427C2212yes—
187#2427C2212yes—
188#2426C2212yes—
189#2422C2212yes—
190#2421C2212yes—
191#2421C2212yes—
192#2415C2214yes—
193#2401C2214yes—
194#2401C2214yes—
195#2401C2212yes—
196#2401C2212yes—
197#2373C2214yes—
198#2372C2214yes—
199#2370C2212yes—
200#2370C2211yescharacteristic
201#2370C2211yescharacteristic
202#2369C2211yescharacteristic
203#2369C2211yescharacteristic
204#2368C2212yes—
205#2368C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2366C2212yes—
213#2366C2211yescharacteristic
214#2366C2212yes—
215#2365C2211yescharacteristic
216#2364C2214yes—
217#2363C2212yes—
218#2363C2212yes—
219#2363C2212yes—
220#2363C2212yes—
221#2363C2212yes—
222#2363C2212yes—
223#2362C2212yes—
224#2362C2212yes—
225#2362C2212yes—
226#2362C2212yes—
227#2361C2214yes—
228#2360C2212yes—
229#2357C2212yes—
230#2357C2212yes—
231#2357C2214yes—
232#2355C2212yes—
233#2355C2211yescharacteristic
234#2355C2212yes—
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2354C2212yes—
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2353C2214yes—
241Q8×C4⋊C4C2211yescharacteristic
242#2349C2211yescharacteristic
243#2349C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245#2346C2214yes—
246#2346C2212yes—
247#2346C2212yes—
248#2346C2212yes—
249#2345C2212yes—
250#2343C2214yes—
251#2339C2212yes—
252#2335C2214yes—
253#2335C2214yes—
254#2334C2214yes—
255#2333C2214yes—
256#2328C2212yes—
257#2326C2212yes—
258#2320C2212yes—
259#2319C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#126C2214yes—
268C4×#126C2214yes—
269C4×#126C2214yes—
270C4×#124C2214yes—
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281#2297C2212yes—
282#2297C2212yes—
283#2297C2212yes—
284#2296C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2285C2212yes—
288#2283C2212yes—
289#2276C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#556—28no—
301#555—28no—
302#554—28no—
303#550—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2312yes—
311#529—216no—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2314yes—
317C2×#125C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
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×C22⋊Q8C2314yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×#117C2314yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C42C2312yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386C22×C42C2312yes—
387#401C2312yes—
388#401C2314yes—
389#401C2314yes—
390#401C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#400C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#391C2312yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
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#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#383C2312yes—
684#383C2312yes—
685#383C2314yes—
686#383C2314yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#381C2312yes—
702#381C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—44no—
817C2×#41—44no—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—42no—
851#127—28no—
852#127—24no—
853#127—44no—
854#126—216no—
855#126—216no—
856#126—48no—
857#125—24no—
858#125—84no—
859#125#4118yescomplemented
860#124—28no—
861#124—216no—
862#124—28no—
863#124—44no—
864#124—42no—
865#124—44no—
866#124—44no—
867#124—42no—
868#124—82no—
869#123—216no—
870#123—84no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—84no—
879#121—28no—
880#121—28no—
881#121—28no—
882#121—28no—
883#121—216no—
884#121—48no—
885#121—44no—
886#121—84no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—42no—
897C4×Q8—82no—
898C4×D4—28no—
899C4×D4—216no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—82no—
914C4×D4—84no—
915C4×D4—84no—
916C4×D4#4118yes—
917#117—28no—
918#117—28no—
919#117—216no—
920#117—28no—
921#117—44no—
922#117—44no—
923C2×C4⋊C4—28no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C42—28no—
1039C2×C42—44no—
1040C2×C42—44no—
1041C2×C42—44no—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085#95C2412yes—
1086#95C2412yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2514yes—
1164C24C2512yes—
1165C24C2512yes—
1166#41—816no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—41no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×D4—28no—
1186C2×D4—28no—
1187C2×D4—28no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4C2×#4114yes—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4C2×#4118yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—41no—
1321C4⋊C4—42no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—41no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4C2×#4118yes—
1346C4⋊C4C2×#4114yes—
1347C4⋊C4C2×#4118yes—
1348C4⋊C4C2×#4114yes—
1349C4⋊C4C2×#4114yes—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4C2×#4118yes—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—28no—
1403C42—28no—
1404C42—28no—
1405C42—22no—
1406C42—24no—
1407C42—22no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42—42no—
1428C42—44no—
1429C42—44no—
1430C42—41no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—41no—
1435C42—41no—
1436C42—44no—
1437C42—41no—
1438C42—41no—
1439C42—44no—
1440C42C2×#4114yes—
1441C42C2×#4114yes—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—24no—
1449C23—22no—
1450C23—22no—
1451C23—24no—
1452C23—24no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—24no—
1457C23—24no—
1458C23—24no—
1459C23—22no—
1460C23—24no—
1461C23—22no—
1462C23C22×#4114yes—
1463C23C2611yescharacteristic
1464Q8—44no—
1465Q8—48no—
1466Q8—44no—
1467Q8—44no—
1468Q8—84no—
1469Q8—84no—
1470D4—28no—
1471D4—48no—
1472D4—44no—
1473D4—48no—
1474D4—84no—
1475D4—88no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—164no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—216no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—88no—
1570C2×C4—84no—
1571C2×C4—88no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—164no—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4114yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4114yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4#58512yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C2×C4#58512yes—
1589C22—24no—
1590C22—24no—
1591C22—24no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—44no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—44no—
1601C22—42no—
1602C22—44no—
1603C22—42no—
1604C22—42no—
1605C22—44no—
1606C22—44no—
1607C22—42no—
1608C22—42no—
1609C22—44no—
1610C22C23×#4111yescharacteristic
1611C22C23×#4111yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22C2×#58511yescharacteristic
1616C22H(7,𝔽2)11yescharacteristic
1617C4—22no—
1618C4—24no—
1619C4—22no—
1620C4—24no—
1621C4—22no—
1622C4—24no—
1623C4—22no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—42no—
1629C4—42no—
1630C4—44no—
1631C4—41no—
1632C4—42no—
1633C4—42no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—42no—
1643C4—44no—
1644C4—41no—
1645C4—42no—
1646C4—44no—
1647C4#348014yes—
1648C4#352114yes—
1649C2—44no—
1650C2—84no—
1651C2—82no—
1652C2C2×#348011yescharacteristic
1653C2C2×#352111yescharacteristic
1654C2#6281611yescharacteristic
1655C2#6296611yescharacteristic
1656C2#6299411yescharacteristic
1657C2#6301011yescharacteristic
1658C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36412C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59646C2semidirect
2. #59639C2semidirect
3. #59567C2semidirect
4. #59549C2semidirect
5. #59533C2semidirect
6. #59445C2semidirect
7. #59227C2semidirect
8. #59083C2semidirect
9. #45068C2semidirect
10. #45015C2semidirect
11. #44547C2semidirect
12. #43712C2semidirect
13. #40032C2semidirect
14. #40029C2semidirect
15. #39206C2semidirect
16. #39142C2semidirect
17. #38986C2semidirect
18. #38985C2semidirect
19. #36609C2semidirect
20. #36587C2semidirect
21. #36515C2semidirect
22. #36515C2semidirect
23. #36419C2semidirect
25. #36185C2semidirect
26. #36115C2semidirect
27. #36058C2semidirect
28. #35900C2semidirect
29. #34945C2semidirect
30. #34816C2semidirect
31. #34330C2semidirect
32. #34324C2semidirect
33. #34237C2semidirect
34. C4×#554C2semidirect
35. C4×#555C2semidirect
859. #125#41semidirect

Maximal subgroups

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

subgroupindex
#596462
#596392
#595672
#595492
#595332
#594452
#592272
#590832
#450682
#450152
#445472
#437122
#400322
#400292
#392062
#391422
#389862
#389852
#366092
#365872
#365152
#364192
#364122
#361852
#361152
#360582
#359002
#349452
#348162
#343302
#343242
#342372
C4×#5542
C4×#5552