Finite Group Databasebeta

← #7632774

Subgroups — #7632774

Order 512.

5617 conjugacy classes of subgroups.

The subgroup lattice has 1781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36526C212yesmaximal, complemented
2#36464C212yesmaximal, complemented
3#36252C212yesmaximal, complemented
4#36245C214yesmaximal, complemented
5#36114C212yesmaximal, complemented
6#36109C214yesmaximal, complemented
7#36044C212yesmaximal, complemented
8#35947C212yesmaximal, complemented
9#35947C212yesmaximal, complemented
10#35905C212yesmaximal, complemented
11#35795C214yesmaximal, complemented
12#35717C214yesmaximal, complemented
13#35595C212yesmaximal, complemented
14#35560C212yesmaximal, complemented
15#35557C211yesmaximal, characteristic, complemented
16#35549C212yesmaximal, complemented
17#35548C212yesmaximal, complemented
18#35544C211yesmaximal, characteristic, complemented
19#35515C211yesmaximal, characteristic, complemented
20#35514C211yesmaximal, characteristic
21#35265C211yesmaximal, characteristic, complemented
22#35215C212yesmaximal, complemented
23#35203C212yesmaximal, complemented
24#35152C211yesmaximal, characteristic, complemented
25#34969C212yesmaximal, complemented
26#34914C212yesmaximal, complemented
27#34813C211yesmaximal, characteristic, complemented
28C2×#2422C211yesmaximal, characteristic, complemented
29#34275C211yesmaximal, characteristic, complemented
30#34253C211yesmaximal, characteristic, complemented
31#34214C211yesmaximal, characteristic, complemented
32#34204C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34109C211yesmaximal, characteristic, complemented
35C4×#518C211yesmaximal, characteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#529C2214yescomplemented
39C2×#525C2211yescharacteristic
40C22×#123C2212yes—
41C22×#121C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#518C2211yescharacteristic
44C2×#518C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×#117C2211yescharacteristic
47#2864C2212yescomplemented
48#2859C2212yescomplemented
49#2854C2214yescomplemented
50#2853C2214yescomplemented
51#2852C2214yescomplemented
52#2851C2214yescomplemented
53#2849C2214yes—
54#2652C2214yescomplemented
55#2649C2214yescomplemented
56#2649C2214yescomplemented
57#2648C2214yescomplemented
58#2647C2212yescomplemented
59#2647C2212yescomplemented
60#2622C2214yes—
61#2597C2214yescomplemented
62#2595C2214yescomplemented
63#2580C2212yescomplemented
64#2580C2212yescomplemented
65#2578C2214yescomplemented
66#2578C2214yescomplemented
67#2576C2214yescomplemented
68#2575C2214yescomplemented
69#2573C2214yescomplemented
70#2560C2214yescomplemented
71#2559C2214yescomplemented
72#2559C2214yescomplemented
73#2558C2214yescomplemented
74#2558C2214yescomplemented
75#2557C2214yescomplemented
76#2554C2214yescomplemented
77#2553C2214yescomplemented
78#2553C2214yescomplemented
79#2538C2212yescomplemented
80#2538C2212yescomplemented
81#2537C2212yes—
82#2537C2212yes—
83#2535C2212yes—
84#2535C2212yes—
85#2531C2214yescomplemented
86#2530C2214yescomplemented
87#2530C2214yescomplemented
88#2527C2214yescomplemented
89#2523C2214yescomplemented
90#2518C2214yescomplemented
91#2518C2214yescomplemented
92#2517C2214yescomplemented
93#2515C2214yescomplemented
94#2512C2212yescomplemented
95#2512C2212yescomplemented
96#2511C2212yescomplemented
97#2511C2212yescomplemented
98#2510C2214yescomplemented
99#2509C2212yescomplemented
100#2508C2212yescomplemented
101#2507C2212yescomplemented
102#2506C2212yescomplemented
103#2505C2214yes—
104#2505C2214yescomplemented
105#2505C2214yescomplemented
106#2497C2212yescomplemented
107#2497C2212yescomplemented
108#2497C2212yescomplemented
109#2497C2212yescomplemented
110#2496C2212yescomplemented
111#2496C2212yescomplemented
112#2496C2212yescomplemented
113#2496C2212yescomplemented
114#2495C2212yescomplemented
115#2495C2212yescomplemented
116#2495C2214yescomplemented
117#2494C2212yescomplemented
118#2494C2212yescomplemented
119#2493C2214yes—
120#2492C2211yescharacteristic, complemented
121#2492C2211yescharacteristic, complemented
122#2491C2211yescharacteristic, complemented
123#2491C2211yescharacteristic, complemented
124#2490C2211yescharacteristic, complemented
125#2490C2211yescharacteristic, complemented
126#2489C2211yescharacteristic, complemented
127#2489C2211yescharacteristic, complemented
128#2488C2212yes—
129#2488C2212yes—
130#2488C2214yescomplemented
131#2481C2214yes—
132#2481C2214yes—
133#2480C2214yes—
134#2477C2214yescomplemented
135#2473C2214yes—
136#2472C2212yes—
137#2472C2212yes—
138#2471C2214yescomplemented
139#2470C2214yescomplemented
140#2470C2214yescomplemented
141#2467C2214yescomplemented
142#2466C2214yescomplemented
143#2466C2214yescomplemented
144#2459C2214yescomplemented
145#2458C2214yescomplemented
146#2458C2214yescomplemented
147#2457C2214yescomplemented
148#2454C2212yescomplemented
149#2454C2212yescomplemented
150#2452C2212yescomplemented
151#2452C2212yescomplemented
152#2450C2214yescomplemented
153#2447C2212yescomplemented
154#2447C2212yescomplemented
155#2445C2212yescomplemented
156#2445C2212yescomplemented
157#2437C2214yes—
158#2437C2214yes—
159#2428C2212yes—
160#2428C2212yes—
161#2427C2212yes—
162#2427C2212yes—
163#2426C2214yescomplemented
164#2425C2214yescomplemented
165#2425C2214yescomplemented
166#2422C2212yes—
167#2422C2212yes—
168#2422C2212yes—
169#2422C2212yes—
170#2422C2212yes—
171#2422C2212yes—
172#2422C2212yes—
173#2422C2212yes—
174#2422C2212yescomplemented
175#2422C2212yescomplemented
176#2421C2214yescomplemented
177#2420C2214yescomplemented
178#2420C2212yescomplemented
179#2420C2212yescomplemented
180#2419C2214yescomplemented
181#2412C2214yes—
182#2410C2214yes—
183#2401C2214yescomplemented
184#2398C2212yescomplemented
185#2398C2214yescomplemented
186#2398C2214yescomplemented
187#2398C2212yescomplemented
188#2392C2214yescomplemented
189C2×#397C2212yes—
190C2×#394C2212yes—
191#2363C2212yes—
192#2363C2212yes—
193#2363C2212yescomplemented
194#2363C2212yescomplemented
195#2361C2212yes—
196#2361C2212yes—
197#2361C2212yescomplemented
198#2361C2212yescomplemented
199#2360C2214yes—
200#2360C2214yes—
201#2359C2214yes—
202#2358C2214yes—
203#2358C2214yes—
204#2358C2214yes—
205#2355C2212yescomplemented
206#2355C2212yescomplemented
207#2354C2212yescomplemented
208#2353C2214yes—
209#2352C2214yes—
210#2352C2212yescomplemented
211#2352C2212yescomplemented
212Q8×C4⋊C4C2212yescomplemented
213Q8×C4⋊C4C2212yescomplemented
214D4×C4⋊C4C2212yescomplemented
215#2347C2211yescharacteristic, complemented
216#2347C2211yescharacteristic, complemented
217#2347C2212yescomplemented
218#2346C2211yescharacteristic, complemented
219#2346C2211yescharacteristic, complemented
220#2346C2212yescomplemented
221#2345C2211yescharacteristic, complemented
222#2345C2211yescharacteristic, complemented
223#2345C2212yescomplemented
224#2344C2211yescharacteristic, complemented
225#2344C2212yescomplemented
226#2344C2211yescharacteristic, complemented
227#2343C2212yes—
228#2343C2212yes—
229#2342C2212yes—
230#2342C2212yes—
231#2342C2214yes—
232D4×C22⋊C4C2214yes—
233#2330C2212yescomplemented
234#2330C2212yescomplemented
235#2328C2212yescomplemented
236#2326C2212yescomplemented
237#2324C2212yes—
238#2324C2212yes—
239#2324C2212yescomplemented
240#2323C2212yescomplemented
241#2320C2212yescomplemented
242#2319C2212yescomplemented
243#2317C2211yescharacteristic
244#2317C2211yescharacteristic
245#2317C2211yescharacteristic
246#2317C2211yescharacteristic
247#2316C2211yescharacteristic
248#2316C2211yescharacteristic
249#2311C2211yescharacteristic
250#2311C2211yescharacteristic
251#2309C2211yescharacteristic
252C4×C4⋊Q8C2212yescomplemented
253C4×C4⋊Q8C2212yescomplemented
254C4×#127C2212yescomplemented
255C4×#124C2212yescomplemented
256C4×#124C2212yescomplemented
257C4×#124C2212yescomplemented
258C4×C22⋊Q8C2214yescomplemented
259C4×C22⋊Q8C2212yescomplemented
260C4×#123C2214yescomplemented
261C4×#121C2212yes—
262C4×#121C2212yes—
263C4×#121C2212yescomplemented
264#2298C2212yescomplemented
265#2298C2212yescomplemented
266#2297C2211yescharacteristic
267#2297C2211yescharacteristic
268#2296C2211yescharacteristic
269#2296C2211yescharacteristic
270#2295C2212yescomplemented
271#2293C2212yescomplemented
272C2×#390C2211yescharacteristic
273C2×#389C2211yescharacteristic
274#2290C2214yescomplemented
275C2×#385C2212yes—
276C2×#384C2211yescharacteristic
277#2283C2212yescomplemented
278#2280C2211yescharacteristic
279#2280C2211yescharacteristic
280C2×#380C2211yescharacteristic
281#2275C2212yescomplemented
282#2275C2212yescomplemented
283#2275C2212yescomplemented
284#2275C2212yescomplemented
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2273C2214yes—
289C42×D4C2212yescomplemented
290C42×D4C2212yescomplemented
291C42×D4C2212yescomplemented
292C42×D4C2212yescomplemented
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C2×C4×C22⋊C4C2214yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#535—28no—
305#533—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2312yes—
309#529—416no—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319#525—28no—
320C2×#123—48no—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121—28no—
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#120C2314yes—
346C2×#120C2312yes—
347#520—28no—
348#518—28no—
349#518—28no—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2314yes—
355C2×C4×D4—28no—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×#117—28no—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2314yes—
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C42C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2314yes—
416C22×C42C2314yes—
417#401C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2312yes—
481#393C2312yes—
482#393C2314yes—
483#393C2314yes—
484#393C2312yes—
485#393C2312yes—
486#393C2312yes—
487#392C2314yes—
488#392C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2311yescharacteristic
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#383C2314yes—
678#383C2314yes—
679#383C2312yes—
680#383C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2314yes—
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2312yes—
695#381C2312yes—
696#381C2312yes—
697#381C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2312yes—
706#380C2314yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#379C2314yes—
724#379C2312yes—
725#379C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2314yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C43C2312yes—
819C43C2312yes—
820C43C2312yes—
821C25C2411yescharacteristic
822C25C2412yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4—28no—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4—44no—
833C22×D4—82no—
834C22×D4#4118yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4—28no—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4—24no—
849C23×C4—44no—
850C23×C4—82no—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876#127—28no—
877#126—48no—
878#126—48no—
879#126—84no—
880#125—24no—
881#125—24no—
882#125—48no—
883#124—28no—
884#124—28no—
885#124—44no—
886#123—28no—
887#123—216no—
888#123—48no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—84no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—24no—
906#121—24no—
907#121—48no—
908#121—84no—
909#120—216no—
910#120—28no—
911C4×Q8—28no—
912C4×Q8—28no—
913C4×Q8—28no—
914C4×Q8—48no—
915C4×Q8—84no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—216no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—48no—
933C4×D4—48no—
934C4×D4—48no—
935C4×D4—48no—
936C4×D4—84no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—24no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—28no—
945#117—28no—
946#117—28no—
947#117—28no—
948#117—44no—
949#117—48no—
950#117#4118yes—
951#117#4118yes—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—24no—
957C2×C4⋊C4—28no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4—82no—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—28no—
1020C2×C22⋊C4—28no—
1021C2×C22⋊C4—216no—
1022C2×C22⋊C4—216no—
1023C2×C22⋊C4—24no—
1024C2×C22⋊C4—42no—
1025C2×C22⋊C4—44no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4—44no—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C42—24no—
1091C2×C42—24no—
1092C2×C42—28no—
1093C2×C42—48no—
1094C2×C42—84no—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24—24no—
1202C24—24no—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—42no—
1208C24—41no—
1209C24—42no—
1210C24—42no—
1211C24—41no—
1212C24—42no—
1213C24—41no—
1214C24C2×#4118yes—
1215C24C2511yescharacteristic
1216C24C2512yes—
1217C24C2514yes—
1218C24C2511yescharacteristic
1219C24C2511yescharacteristic
1220#41—416no—
1221C2×Q8—22no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—24no—
1227C2×Q8—24no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—28no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—232no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—816no—
1260C2×D4C2×#4118yes—
1261C2×D4C2×#4118yes—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—28no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—28no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—28no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—28no—
1301C22×C4—44no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—41no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—41no—
1328C22×C4—416no—
1329C22×C4—816no—
1330C22×C4C2×#4114yes—
1331C22×C4C2×#4114yes—
1332C22×C4C2×#4114yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2514yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2514yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—28no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4C2×#4114yes—
1417C4⋊C4C2×#4114yes—
1418C4⋊C4C2×#4114yes—
1419C4⋊C4C2×#4114yes—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—22no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—22no—
1452C22⋊C4—28no—
1453C22⋊C4—22no—
1454C22⋊C4—24no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4C2×#4118yes—
1480C22⋊C4C2×#4118yes—
1481C22⋊C4H(5,𝔽2)14yes—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—28no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—44no—
1503C42—44no—
1504C42—42no—
1505C42—42no—
1506C42—44no—
1507C42—44no—
1508C42—42no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—44no—
1513C42—44no—
1514C42—42no—
1515C42—42no—
1516C42C2×#4118yes—
1517C42C2×#4118yes—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—24no—
1524C23—24no—
1525C23—21no—
1526C23—21no—
1527C23—24no—
1528C23—21no—
1529C23—24no—
1530C23—21no—
1531C23—24no—
1532C23—24no—
1533C23—21no—
1534C23—216no—
1535C23—21no—
1536C23—22no—
1537C23—21no—
1538C23—22no—
1539C23—21no—
1540C23—22no—
1541C23—22no—
1542C23—21no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—21no—
1547C23—21no—
1548C23—22no—
1549C23—48no—
1550C23—48no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—84no—
1556C23—82no—
1557C23—84no—
1558C23—82no—
1559C23—84no—
1560C23—82no—
1561C23—84no—
1562C23C22×#4118yes—
1563C23C22×#4112yes—
1564C23C22×#4112yes—
1565C23C22×#4112yes—
1566C23C2×H(5,𝔽2)12yes—
1567C23C2611yescharacteristic
1568Q8—48no—
1569Q8—48no—
1570Q8—44no—
1571D4—216no—
1572D4—216no—
1573D4—48no—
1574D4—416no—
1575D4—48no—
1576D4—44no—
1577D4—84no—
1578D4—88no—
1579D4—88no—
1580D4—88no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—21no—
1629C2×C4—24no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—48no—
1661C2×C4—416no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—84no—
1674C2×C4—88no—
1675C2×C4—82no—
1676C2×C4—84no—
1677C2×C4—84no—
1678C2×C4—88no—
1679C2×C4—84no—
1680C2×C4#529116yescomplemented
1681C2×C4C22×#4114yes—
1682C2×C4C22×#4114yes—
1683C2×C4C22×#4114yes—
1684C2×C4C22×#4114yes—
1685C2×C4C22×#4112yes—
1686C2×C4C22×#4112yes—
1687C2×C4C22×#4112yes—
1688C2×C4C22×#4112yes—
1689C2×C4C22×#4112yes—
1690C2×C4C22×#4112yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4#58512yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—28no—
1701C22—22no—
1702C22—22no—
1703C22—28no—
1704C22—22no—
1705C22—28no—
1706C22—44no—
1707C22—41no—
1708C22—44no—
1709C22—41no—
1710C22—44no—
1711C22—41no—
1712C22—44no—
1713C22—41no—
1714C22—41no—
1715C22—42no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—41no—
1720C22—41no—
1721C22—42no—
1722C22—42no—
1723C22—41no—
1724C22—42no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—816no—
1729C22—88no—
1730C22C2×#52914yes—
1731C22C23×#4111yescharacteristic
1732C22C23×#4111yescharacteristic
1733C22C23×#4111yescharacteristic
1734C22C22×H(5,𝔽2)11yescharacteristic
1735C22C2×#58511yescharacteristic
1736C22H(7,𝔽2)11yescharacteristic
1737C222−1+611yescharacteristic
1738C4—22no—
1739C4—22no—
1740C4—24no—
1741C4—22no—
1742C4—24no—
1743C4—24no—
1744C4—24no—
1745C4—44no—
1746C4—41no—
1747C4—44no—
1748C4—42no—
1749C4—41no—
1750C4—42no—
1751C4—42no—
1752C4—41no—
1753C4—41no—
1754C4—42no—
1755C4—41no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—44no—
1761C4—42no—
1762C4—42no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4C2×#52914yes—
1767C4C2×#52914yes—
1768C2—24no—
1769C2—48no—
1770C2—42no—
1771C2—82no—
1772C2—81no—
1773C2C22×#52911yescharacteristic
1774C2#6280011yescharacteristic
1775C2#6285711yescharacteristic
1776C2#6298311yescharacteristic
1777C2#6298511yescharacteristic
1778C2#6299111yescharacteristic
1779C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35514C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36526C2semidirect
2. #36464C2semidirect
3. #36252C2semidirect
4. #36245C2semidirect
5. #36114C2semidirect
6. #36109C2semidirect
7. #36044C2semidirect
8. #35947C2semidirect
9. #35947C2semidirect
10. #35905C2semidirect
11. #35795C2semidirect
12. #35717C2semidirect
13. #35595C2semidirect
14. #35560C2semidirect
15. #35557C2semidirect
16. #35549C2semidirect
17. #35548C2semidirect
18. #35544C2semidirect
19. #35515C2semidirect
21. #35265C2semidirect
22. #35215C2semidirect
23. #35203C2semidirect
24. #35152C2semidirect
25. #34969C2semidirect
26. #34914C2semidirect
27. #34813C2semidirect
28. C2×#2422C2semidirect
29. #34275C2semidirect
30. #34253C2semidirect
31. #34214C2semidirect
32. #34204C2semidirect
33. #34202C2semidirect
34. #34109C2semidirect
35. C4×#518C2semidirect
38. C2×#529C22semidirect
47. #2864C22semidirect
48. #2859C22semidirect
49. #2854C22semidirect
50. #2853C22semidirect
51. #2852C22semidirect
52. #2851C22semidirect
54. #2652C22semidirect
55. #2649C22semidirect
56. #2649C22semidirect
57. #2648C22semidirect
58. #2647C22semidirect
59. #2647C22semidirect
61. #2597C22semidirect
62. #2595C22semidirect
63. #2580C22semidirect
64. #2580C22semidirect
65. #2578C22semidirect
66. #2578C22semidirect
67. #2576C22semidirect
68. #2575C22semidirect
69. #2573C22semidirect
70. #2560C22semidirect
71. #2559C22semidirect
72. #2559C22semidirect
73. #2558C22semidirect
74. #2558C22semidirect
75. #2557C22semidirect
76. #2554C22semidirect
77. #2553C22semidirect
78. #2553C22semidirect
79. #2538C22semidirect
80. #2538C22semidirect
85. #2531C22semidirect
86. #2530C22semidirect
87. #2530C22semidirect
88. #2527C22semidirect
89. #2523C22semidirect
90. #2518C22semidirect
91. #2518C22semidirect
92. #2517C22semidirect
93. #2515C22semidirect
94. #2512C22semidirect
95. #2512C22semidirect
96. #2511C22semidirect
97. #2511C22semidirect
98. #2510C22semidirect
99. #2509C22semidirect
100. #2508C22semidirect
101. #2507C22semidirect
102. #2506C22semidirect
104. #2505C22semidirect
105. #2505C22semidirect
106. #2497C22semidirect
107. #2497C22semidirect
108. #2497C22semidirect
109. #2497C22semidirect
110. #2496C22semidirect
111. #2496C22semidirect
112. #2496C22semidirect
113. #2496C22semidirect
114. #2495C22semidirect
115. #2495C22semidirect
116. #2495C22semidirect
117. #2494C22semidirect
118. #2494C22semidirect
120. #2492C22semidirect
121. #2492C22semidirect
122. #2491C22semidirect
123. #2491C22semidirect
124. #2490C22semidirect
125. #2490C22semidirect
126. #2489C22semidirect
127. #2489C22semidirect
130. #2488C22semidirect
134. #2477C22semidirect
138. #2471C22semidirect
139. #2470C22semidirect
140. #2470C22semidirect
141. #2467C22semidirect
142. #2466C22semidirect
143. #2466C22semidirect
144. #2459C22semidirect
145. #2458C22semidirect
146. #2458C22semidirect
147. #2457C22semidirect
148. #2454C22semidirect
149. #2454C22semidirect
150. #2452C22semidirect
151. #2452C22semidirect
152. #2450C22semidirect
153. #2447C22semidirect
154. #2447C22semidirect
155. #2445C22semidirect
156. #2445C22semidirect
163. #2426C22semidirect
164. #2425C22semidirect
165. #2425C22semidirect
174. #2422C22semidirect
175. #2422C22semidirect
176. #2421C22semidirect
177. #2420C22semidirect
178. #2420C22semidirect
179. #2420C22semidirect
180. #2419C22semidirect
183. #2401C22semidirect
184. #2398C22semidirect
185. #2398C22semidirect
186. #2398C22semidirect
187. #2398C22semidirect
188. #2392C22semidirect
193. #2363C22semidirect
194. #2363C22semidirect
197. #2361C22semidirect
198. #2361C22semidirect
205. #2355C22semidirect
206. #2355C22semidirect
207. #2354C22semidirect
210. #2352C22semidirect
211. #2352C22semidirect
212. Q8×C4⋊C4C22semidirect
213. Q8×C4⋊C4C22semidirect
214. D4×C4⋊C4C22semidirect
215. #2347C22semidirect
216. #2347C22semidirect
217. #2347C22semidirect
218. #2346C22semidirect
219. #2346C22semidirect
220. #2346C22semidirect
221. #2345C22semidirect
222. #2345C22semidirect
223. #2345C22semidirect
224. #2344C22semidirect
225. #2344C22semidirect
226. #2344C22semidirect
233. #2330C22semidirect
234. #2330C22semidirect
235. #2328C22semidirect
236. #2326C22semidirect
239. #2324C22semidirect
240. #2323C22semidirect
241. #2320C22semidirect
242. #2319C22semidirect
252. C4×C4⋊Q8C22semidirect
253. C4×C4⋊Q8C22semidirect
254. C4×#127C22semidirect
255. C4×#124C22semidirect
256. C4×#124C22semidirect
257. C4×#124C22semidirect
258. C4×C22⋊Q8C22semidirect
259. C4×C22⋊Q8C22semidirect
260. C4×#123C22semidirect
263. C4×#121C22semidirect
264. #2298C22semidirect
265. #2298C22semidirect
270. #2295C22semidirect
271. #2293C22semidirect
274. #2290C22semidirect
277. #2283C22semidirect
281. #2275C22semidirect
282. #2275C22semidirect
283. #2275C22semidirect
284. #2275C22semidirect
289. C42×D4C22semidirect
290. C42×D4C22semidirect
291. C42×D4C22semidirect
292. C42×D4C22semidirect
296. C4×#117C22semidirect
1680. C2×C4#529semidirect

Maximal subgroups

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

subgroupindex
#365262
#364642
#362522
#362452
#361142
#361092
#360442
#359472
#359052
#357952
#357172
#355952
#355602
#355572
#355492
#355482
#355442
#355152
#355142
#352652
#352152
#352032
#351522
#349692
#349142
#348132
C2×#24222
#342752
#342532
#342142
#342042
#342022
#341092
C4×#5182