Finite Group Databasebeta

← #7652165

Subgroups — #7652165

Order 512.

4729 conjugacy classes of subgroups.

The subgroup lattice has 1703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42904C212yesmaximal, complemented
2#42870C212yesmaximal, complemented
3#42865C212yesmaximal, complemented
4#42861C212yesmaximal, complemented
5#42849C212yesmaximal, complemented
6#42846C212yesmaximal, complemented
7#42840C212yesmaximal, complemented
8#42827C212yesmaximal, complemented
9#41974C214yesmaximal, complemented
10#41965C214yesmaximal, complemented
11#40197C212yesmaximal, complemented
12#40124C212yesmaximal, complemented
13#40119C212yesmaximal, complemented
14#40101C212yesmaximal, complemented
15#39787C212yesmaximal, complemented
16#39667C212yesmaximal, complemented
17#39658C212yesmaximal, complemented
18#39223C212yesmaximal, complemented
19#38402C214yesmaximal, complemented
20#38401C214yesmaximal, complemented
21#35662C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic
23#35585C211yesmaximal, characteristic, complemented
24#35555C211yesmaximal, characteristic, complemented
25#35545C211yesmaximal, characteristic, complemented
26#35544C211yesmaximal, characteristic, complemented
27#35280C211yesmaximal, characteristic, complemented
28#35263C211yesmaximal, characteristic
29#35182C211yesmaximal, characteristic, complemented
30#34742C211yesmaximal, characteristic
31#34739C211yesmaximal, characteristic, complemented
32C2×#2423C211yesmaximal, characteristic, complemented
33#34268C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic, complemented
35#34182C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2857C2212yescomplemented
46#2857C2212yescomplemented
47#2855C2212yes—
48#2854C2212yes—
49#2853C2214yes—
50#2839C2214yescomplemented
51#2837C2214yes—
52#2836C2214yes—
53#2836C2214yescomplemented
54#2809C2214yescomplemented
55#2807C2214yes—
56#2802C2214yescomplemented
57#2802C2214yescomplemented
58#2798C2214yes—
59#2795C2214yes—
60#2793C2214yescomplemented
61#2791C2214yescomplemented
62#2791C2214yescomplemented
63#2790C2214yes—
64#2789C2214yescomplemented
65#2787C2214yescomplemented
66#2783C2214yescomplemented
67#2783C2214yescomplemented
68#2781C2214yes—
69#2781C2214yes—
70#2777C2214yescomplemented
71#2775C2214yes—
72#2773C2214yes—
73#2771C2214yes—
74#2769C2214yescomplemented
75#2765C2214yes—
76#2744C2214yescomplemented
77#2732C2214yes—
78#2727C2214yes—
79#2726C2214yescomplemented
80#2721C2214yes—
81#2720C2214yescomplemented
82#2694C2214yes—
83#2694C2214yes—
84#2689C2214yescomplemented
85#2680C2214yes—
86#2667C2214yes—
87#2667C2214yescomplemented
88#2666C2214yescomplemented
89#2664C2214yes—
90#2664C2214yescomplemented
91#2663C2214yes—
92#2655C2214yescomplemented
93#2655C2214yescomplemented
94#2654C2214yes—
95#2654C2214yescomplemented
96#2651C2214yes—
97#2649C2214yes—
98#2629C2212yescomplemented
99#2629C2212yescomplemented
100#2625C2212yes—
101#2624C2212yes—
102#2623C2214yes—
103#2594C2214yes—
104#2594C2214yescomplemented
105#2590C2214yescomplemented
106#2588C2214yescomplemented
107#2585C2214yescomplemented
108#2582C2212yescomplemented
109#2582C2212yescomplemented
110#2582C2212yescomplemented
111#2582C2212yescomplemented
112#2581C2212yescomplemented
113#2581C2212yescomplemented
114#2577C2214yes—
115#2577C2214yescomplemented
116#2570C2212yescomplemented
117#2570C2212yescomplemented
118#2569C2214yes—
119#2560C2214yes—
120#2558C2214yes—
121#2556C2214yes—
122#2556C2214yescomplemented
123#2553C2214yes—
124#2552C2212yescomplemented
125#2552C2212yescomplemented
126#2538C2212yes—
127#2538C2212yes—
128#2538C2212yescomplemented
129#2538C2212yescomplemented
130#2536C2212yes—
131#2536C2212yes—
132#2514C2212yescomplemented
133#2513C2212yescomplemented
134#2512C2212yescomplemented
135#2511C2212yescomplemented
136#2510C2214yes—
137#2509C2212yescomplemented
138#2509C2212yescomplemented
139#2508C2212yescomplemented
140#2508C2212yescomplemented
141#2507C2212yescomplemented
142#2507C2212yescomplemented
143#2507C2212yescomplemented
144#2507C2212yescomplemented
145#2506C2212yescomplemented
146#2506C2212yescomplemented
147#2506C2212yescomplemented
148#2506C2212yescomplemented
149#2498C2214yes—
150#2497C2212yes—
151#2497C2212yes—
152#2497C2212yescomplemented
153#2496C2212yes—
154#2496C2212yes—
155#2496C2212yescomplemented
156#2495C2212yes—
157#2495C2212yes—
158#2495C2212yescomplemented
159#2494C2212yes—
160#2494C2212yes—
161#2494C2212yescomplemented
162#2493C2214yes—
163#2487C2212yes—
164#2486C2212yes—
165#2485C2212yes—
166#2485C2212yes—
167#2481C2214yes—
168#2480C2214yes—
169#2473C2214yes—
170#2473C2214yes—
171#2453C2212yescomplemented
172#2453C2212yescomplemented
173#2451C2212yescomplemented
174#2451C2212yescomplemented
175#2448C2212yescomplemented
176#2448C2212yescomplemented
177#2446C2212yescomplemented
178#2446C2212yescomplemented
179#2442C2214yes—
180#2442C2211yescharacteristic
181#2442C2211yescharacteristic
182#2441C2211yescharacteristic
183#2441C2211yescharacteristic
184#2440C2211yescharacteristic
185#2440C2211yescharacteristic
186#2439C2211yescharacteristic
187#2439C2211yescharacteristic
188#2438C2212yes—
189#2438C2214yes—
190#2438C2214yes—
191#2438C2212yes—
192#2437C2212yes—
193#2437C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2426C2212yes—
197#2426C2212yes—
198#2423C2212yes—
199#2423C2212yes—
200#2423C2212yes—
201#2423C2211yescharacteristic
202#2423C2212yes—
203#2423C2212yes—
204#2423C2212yes—
205#2423C2212yes—
206#2423C2212yes—
207#2423C2211yescharacteristic
208#2423C2212yescomplemented
209#2423C2212yescomplemented
210#2422C2211yescharacteristic
211#2422C2211yescharacteristic
212#2421C2211yescharacteristic
213#2421C2211yescharacteristic
214#2421C2212yescomplemented
215#2421C2212yescomplemented
216#2420C2211yescharacteristic
217#2420C2211yescharacteristic
218#2419C2212yes—
219#2419C2212yes—
220#2418C2212yes—
221#2418C2212yes—
222#2417C2214yes—
223#2417C2214yes—
224#2413C2214yes—
225#2412C2214yes—
226#2411C2214yes—
227#2396C2212yes—
228#2396C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#399C2212yes—
232C2×#398C2212yes—
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2365C2212yescomplemented
236#2365C2212yescomplemented
237#2362C2212yes—
238#2362C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2359C2214yes—
242#2359C2214yes—
243#2351C2212yescomplemented
244#2351C2212yescomplemented
245#2351C2212yescomplemented
246#2351C2212yescomplemented
247Q8×C4⋊C4C2212yescomplemented
248Q8×C4⋊C4C2212yescomplemented
249Q8×C4⋊C4C2212yescomplemented
250Q8×C4⋊C4C2212yescomplemented
251#2344C2214yes—
252#2342C2214yes—
253#2336C2214yescomplemented
254#2335C2214yes—
255#2332C2214yes—
256#2332C2214yescomplemented
257#2323C2212yes—
258#2323C2212yes—
259#2323C2212yescomplemented
260#2323C2212yescomplemented
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2211yescharacteristic
266#2316C2211yescharacteristic
267#2316C2211yescharacteristic
268#2316C2214yes—
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2310C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#123C2212yes—
280C4×#123C2212yes—
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#388C2212yes—
288C2×#387C2212yes—
289#2285C2211yescharacteristic
290#2285C2214yes—
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#536—28no—
303#533—44no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2314yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315#525—44no—
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8—28no—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#120C2312yes—
339#519—44no—
340#519—44no—
341C4×#41—44no—
342C2×C4×Q8—28no—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×#117—44no—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2314yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2312yes—
395C22×C42C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2312yes—
399C22×C42C2312yes—
400#401C2314yes—
401#401C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2312yes—
433#399C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2312yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2312yes—
501#395C2312yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#393C2312yes—
511#393C2312yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2314yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2314yes—
717#383C2314yes—
718#383C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2314yes—
727#382C2314yes—
728#382C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2312yes—
732#381C2312yes—
733#381C2312yes—
734#381C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#379C2312yes—
766#379C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4—24no—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C4⋊Q8—28no—
858C4⋊Q8—42no—
859C4⋊Q8—42no—
860#126—84no—
861#126—84no—
862#125—42no—
863#125—42no—
864#125—48no—
865#125—84no—
866#125—84no—
867#124—28no—
868#123—216no—
869#123—28no—
870#123—44no—
871#123—44no—
872#123—84no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—48no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886C22⋊Q8—84no—
887#121—42no—
888#121—42no—
889#120—44no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×D4—42no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—44no—
920#117—44no—
921#117—44no—
922#117—48no—
923#117—48no—
924#117—42no—
925#117—42no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—42no—
933C2×C4⋊C4—42no—
934C2×C4⋊C4—82no—
935C2×C4⋊C4—82no—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—24no—
1020C2×C22⋊C4—42no—
1021C2×C22⋊C4—44no—
1022C2×C22⋊C4—82no—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C42—28no—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—44no—
1074C2×C42—44no—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24C2511yescharacteristic
1188C24C2512yes—
1189C24C2511yescharacteristic
1190C24C2511yescharacteristic
1191#41—416no—
1192C2×Q8—232no—
1193C2×Q8—22no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8C2×#4118yes—
1207C2×Q8C2×#4118yes—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—416no—
1274C22×C4C2×#4118yes—
1275C22×C4C2×#4114yes—
1276C22×C4H(5,𝔽2)14yes—
1277C22×C42−1+414yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2514yes—
1299C22×C4C2514yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
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—44no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—22no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C42−1+414yes—
1438C42—28no—
1439C42—22no—
1440C42—22no—
1441C42—28no—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—42no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—21no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—82no—
1496C23—82no—
1497C23—82no—
1498C23C22×#4112yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×2−1+412yes—
1501C23C2×2−1+412yes—
1502C23C2611yescharacteristic
1503Q8—216no—
1504Q8—216no—
1505Q8—44no—
1506Q8—84no—
1507Q8—84no—
1508D4—48no—
1509D4—44no—
1510D4—84no—
1511D4—84no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—216no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—48no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—82no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4#539116yes—
1614C2×C4C22×#4118yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4112yes—
1617C2×C4C2×H(5,𝔽2)12yes—
1618C2×C4C2×H(5,𝔽2)12yes—
1619C2×C4C2×2−1+412yes—
1620C2×C4C2×2−1+412yes—
1621C2×C4C2×2−1+412yes—
1622C2×C4C2×2−1+412yes—
1623C2×C4#58512yes—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—42no—
1650C22—41no—
1651C22—88no—
1652C22C2×#53914yes—
1653C22C23×#4111yescharacteristic
1654C22C22×H(5,𝔽2)11yescharacteristic
1655C22C22×2−1+411yescharacteristic
1656C22C22×2−1+411yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22H(7,𝔽2)11yescharacteristic
1659C222−1+611yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—28no—
1663C4—22no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—41no—
1668C4—41no—
1669C4—44no—
1670C4—44no—
1671C4—42no—
1672C4—42no—
1673C4—44no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—41no—
1681C4—41no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4C2×#53914yes—
1690C4C2×#53914yes—
1691C2—24no—
1692C2—42no—
1693C2—82no—
1694C2—81no—
1695C2C22×#53911yescharacteristic
1696C2#6283711yescharacteristic
1697C2#6287911yescharacteristic
1698C2#6292711yescharacteristic
1699C2#6294411yescharacteristic
1700C2#6299811yescharacteristic
1701C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42904C2semidirect
2. #42870C2semidirect
3. #42865C2semidirect
4. #42861C2semidirect
5. #42849C2semidirect
6. #42846C2semidirect
7. #42840C2semidirect
8. #42827C2semidirect
9. #41974C2semidirect
10. #41965C2semidirect
11. #40197C2semidirect
12. #40124C2semidirect
13. #40119C2semidirect
14. #40101C2semidirect
15. #39787C2semidirect
16. #39667C2semidirect
17. #39658C2semidirect
18. #39223C2semidirect
19. #38402C2semidirect
20. #38401C2semidirect
21. #35662C2semidirect
23. #35585C2semidirect
24. #35555C2semidirect
25. #35545C2semidirect
26. #35544C2semidirect
27. #35280C2semidirect
29. #35182C2semidirect
31. #34739C2semidirect
32. C2×#2423C2semidirect
33. #34268C2semidirect
34. #34203C2semidirect
35. #34182C2semidirect
45. #2857C22semidirect
46. #2857C22semidirect
50. #2839C22semidirect
53. #2836C22semidirect
54. #2809C22semidirect
56. #2802C22semidirect
57. #2802C22semidirect
60. #2793C22semidirect
61. #2791C22semidirect
62. #2791C22semidirect
64. #2789C22semidirect
65. #2787C22semidirect
66. #2783C22semidirect
67. #2783C22semidirect
70. #2777C22semidirect
74. #2769C22semidirect
76. #2744C22semidirect
79. #2726C22semidirect
81. #2720C22semidirect
84. #2689C22semidirect
87. #2667C22semidirect
88. #2666C22semidirect
90. #2664C22semidirect
92. #2655C22semidirect
93. #2655C22semidirect
95. #2654C22semidirect
98. #2629C22semidirect
99. #2629C22semidirect
104. #2594C22semidirect
105. #2590C22semidirect
106. #2588C22semidirect
107. #2585C22semidirect
108. #2582C22semidirect
109. #2582C22semidirect
110. #2582C22semidirect
111. #2582C22semidirect
112. #2581C22semidirect
113. #2581C22semidirect
115. #2577C22semidirect
116. #2570C22semidirect
117. #2570C22semidirect
122. #2556C22semidirect
124. #2552C22semidirect
125. #2552C22semidirect
128. #2538C22semidirect
129. #2538C22semidirect
132. #2514C22semidirect
133. #2513C22semidirect
134. #2512C22semidirect
135. #2511C22semidirect
137. #2509C22semidirect
138. #2509C22semidirect
139. #2508C22semidirect
140. #2508C22semidirect
141. #2507C22semidirect
142. #2507C22semidirect
143. #2507C22semidirect
144. #2507C22semidirect
145. #2506C22semidirect
146. #2506C22semidirect
147. #2506C22semidirect
148. #2506C22semidirect
152. #2497C22semidirect
155. #2496C22semidirect
158. #2495C22semidirect
161. #2494C22semidirect
171. #2453C22semidirect
172. #2453C22semidirect
173. #2451C22semidirect
174. #2451C22semidirect
175. #2448C22semidirect
176. #2448C22semidirect
177. #2446C22semidirect
178. #2446C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
214. #2421C22semidirect
215. #2421C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2365C22semidirect
236. #2365C22semidirect
243. #2351C22semidirect
244. #2351C22semidirect
245. #2351C22semidirect
246. #2351C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
249. Q8×C4⋊C4C22semidirect
250. Q8×C4⋊C4C22semidirect
253. #2336C22semidirect
256. #2332C22semidirect
259. #2323C22semidirect
260. #2323C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#429042
#428702
#428652
#428612
#428492
#428462
#428402
#428272
#419742
#419652
#401972
#401242
#401192
#401012
#397872
#396672
#396582
#392232
#384022
#384012
#356622
#356612
#355852
#355552
#355452
#355442
#352802
#352632
#351822
#347422
#347392
C2×#24232
#342682
#342032
#341822