Finite Group Databasebeta

← #7680357

Subgroups — #7680357

Order 512.

5245 conjugacy classes of subgroups.

The subgroup lattice has 1777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59853C214yesmaximal, complemented
2#59848C214yesmaximal, complemented
3#59701C212yesmaximal, complemented
4#59700C212yesmaximal, complemented
5#59697C212yesmaximal, complemented
6#59692C212yesmaximal, complemented
7#45298C212yesmaximal, complemented
8#45285C212yesmaximal, complemented
9#45194C212yesmaximal, complemented
10#45028C212yesmaximal, complemented
11#44045C214yesmaximal, complemented
12#44002C214yesmaximal, complemented
13#39261C212yesmaximal, complemented
14#39261C212yesmaximal, complemented
15#39259C212yesmaximal, complemented
16#39259C212yesmaximal, complemented
17#39194C212yesmaximal, complemented
18#39188C212yesmaximal, complemented
19#36539C212yesmaximal, complemented
20#36464C212yesmaximal, complemented
21#35677C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35514C211yesmaximal, characteristic
25#35265C211yesmaximal, characteristic, complemented
26#35262C211yesmaximal, characteristic, complemented
27#35254C211yesmaximal, characteristic, complemented
28#34814C211yesmaximal, characteristic, complemented
29C2×#2426C211yesmaximal, characteristic, complemented
30#34255C211yesmaximal, characteristic, complemented
31#34249C211yesmaximal, characteristic, complemented
32#34211C211yesmaximal, characteristic, complemented
33#34203C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C2×#518C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2864C2212yescomplemented
49#2859C2212yescomplemented
50#2854C2212yes—
51#2854C2212yes—
52#2854C2212yescomplemented
53#2854C2212yescomplemented
54#2803C2214yescomplemented
55#2803C2214yescomplemented
56#2801C2214yescomplemented
57#2801C2214yescomplemented
58#2800C2214yescomplemented
59#2800C2214yescomplemented
60#2795C2214yescomplemented
61#2795C2214yescomplemented
62#2780C2214yescomplemented
63#2780C2214yescomplemented
64#2779C2214yescomplemented
65#2779C2214yescomplemented
66#2777C2214yescomplemented
67#2777C2214yescomplemented
68#2772C2214yescomplemented
69#2772C2214yescomplemented
70#2753C2214yescomplemented
71#2753C2214yescomplemented
72#2739C2214yescomplemented
73#2739C2214yescomplemented
74#2718C2214yescomplemented
75#2718C2214yescomplemented
76#2701C2214yescomplemented
77#2701C2214yescomplemented
78#2647C2212yescomplemented
79#2647C2212yescomplemented
80#2624C2212yes—
81#2624C2212yes—
82#2624C2212yescomplemented
83#2624C2212yescomplemented
84#2602C2214yescomplemented
85#2602C2214yescomplemented
86#2601C2214yescomplemented
87#2601C2214yescomplemented
88#2596C2214yescomplemented
89#2596C2214yescomplemented
90#2595C2214yescomplemented
91#2595C2214yescomplemented
92#2594C2214yescomplemented
93#2594C2214yescomplemented
94#2593C2214yescomplemented
95#2593C2214yescomplemented
96#2576C2214yescomplemented
97#2576C2214yescomplemented
98#2559C2214yescomplemented
99#2559C2214yescomplemented
100#2558C2214yescomplemented
101#2558C2214yescomplemented
102#2554C2214yescomplemented
103#2554C2214yescomplemented
104#2548C2212yescomplemented
105#2548C2212yescomplemented
106#2545C2212yescomplemented
107#2545C2212yescomplemented
108#2538C2212yescomplemented
109#2538C2212yescomplemented
110#2537C2212yes—
111#2537C2212yes—
112#2536C2212yescomplemented
113#2536C2212yescomplemented
114#2535C2212yes—
115#2535C2212yes—
116#2522C2214yescomplemented
117#2522C2214yescomplemented
118#2518C2214yescomplemented
119#2518C2214yescomplemented
120#2518C2214yescomplemented
121#2518C2214yescomplemented
122#2516C2214yescomplemented
123#2516C2214yescomplemented
124#2514C2212yescomplemented
125#2513C2212yescomplemented
126#2512C2212yescomplemented
127#2511C2212yescomplemented
128#2510C2214yes—
129#2509C2212yescomplemented
130#2508C2212yescomplemented
131#2507C2212yescomplemented
132#2506C2212yescomplemented
133#2505C2214yes—
134#2504C2212yes—
135#2501C2212yes—
136#2500C2212yes—
137#2500C2212yes—
138#2500C2214yescomplemented
139#2497C2214yescomplemented
140#2497C2211yescharacteristic, complemented
141#2497C2212yescomplemented
142#2497C2211yescharacteristic, complemented
143#2496C2211yescharacteristic, complemented
144#2496C2212yescomplemented
145#2496C2211yescharacteristic, complemented
146#2495C2211yescharacteristic, complemented
147#2495C2212yescomplemented
148#2495C2211yescharacteristic, complemented
149#2494C2211yescharacteristic, complemented
150#2494C2214yescomplemented
151#2494C2212yescomplemented
152#2494C2211yescharacteristic, complemented
153#2493C2212yes—
154#2493C2212yes—
155#2490C2214yescomplemented
156#2482C2214yes—
157#2481C2214yes—
158#2480C2212yes—
159#2480C2212yes—
160#2473C2214yes—
161#2470C2214yescomplemented
162#2470C2214yescomplemented
163#2448C2212yescomplemented
164#2448C2212yescomplemented
165#2445C2212yescomplemented
166#2445C2212yescomplemented
167#2441C2214yescomplemented
168#2429C2212yescomplemented
169#2429C2212yescomplemented
170#2428C2212yes—
171#2428C2212yes—
172#2427C2212yes—
173#2427C2212yes—
174#2426C2212yes—
175#2426C2212yes—
176#2426C2212yes—
177#2426C2212yes—
178#2426C2212yes—
179#2426C2212yes—
180#2426C2212yes—
181#2426C2212yes—
182#2426C2212yescomplemented
183#2426C2212yescomplemented
184#2426C2212yescomplemented
185#2426C2212yescomplemented
186#2426C2212yescomplemented
187#2426C2212yescomplemented
188#2422C2214yescomplemented
189#2418C2214yes—
190#2418C2214yes—
191#2413C2214yes—
192#2412C2214yes—
193#2411C2214yes—
194#2411C2214yes—
195#2411C2214yes—
196#2410C2214yes—
197#2405C2214yes—
198#2401C2212yescomplemented
199#2401C2212yescomplemented
200C2×#396C2212yes—
201C2×#394C2212yes—
202#2374C2214yescomplemented
203#2374C2214yescomplemented
204#2367C2212yescomplemented
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2367C2212yescomplemented
208#2363C2214yescomplemented
209#2363C2211yescharacteristic, complemented
210#2363C2211yescharacteristic, complemented
211#2362C2211yescharacteristic, complemented
212#2362C2212yescomplemented
213#2362C2212yescomplemented
214#2362C2211yescharacteristic, complemented
215#2361C2211yescharacteristic, complemented
216#2361C2211yescharacteristic, complemented
217#2360C2211yescharacteristic, complemented
218#2360C2212yescomplemented
219#2360C2212yescomplemented
220#2360C2211yescharacteristic, complemented
221#2359C2212yes—
222#2359C2212yes—
223#2358C2212yes—
224#2358C2212yes—
225#2357C2212yescomplemented
226#2357C2212yescomplemented
227#2354C2212yescomplemented
228#2354C2212yescomplemented
229#2351C2212yescomplemented
230#2351C2212yescomplemented
231#2351C2212yescomplemented
232#2351C2212yescomplemented
233Q8×C4⋊C4C2212yescomplemented
234Q8×C4⋊C4C2212yescomplemented
235Q8×C4⋊C4C2212yescomplemented
236Q8×C4⋊C4C2212yescomplemented
237#2347C2214yescomplemented
238#2344C2214yes—
239#2342C2214yes—
240#2342C2214yes—
241#2342C2214yes—
242#2342C2214yes—
243#2342C2214yes—
244#2327C2212yescomplemented
245#2326C2212yescomplemented
246#2326C2212yescomplemented
247#2326C2212yescomplemented
248#2323C2212yescomplemented
249#2323C2212yescomplemented
250#2323C2212yescomplemented
251#2323C2212yescomplemented
252#2322C2214yes—
253#2319C2212yescomplemented
254#2319C2212yescomplemented
255#2317C2214yes—
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2310C2211yescharacteristic
264#2309C2211yescharacteristic
265#2309C2211yescharacteristic
266C4×C4⋊Q8C2212yescomplemented
267C4×#126C2212yescomplemented
268C4×#126C2212yescomplemented
269C4×#124C2212yescomplemented
270C4×#124C2212yescomplemented
271C4×#124C2212yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2214yes—
277#2297C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2214yes—
282#2293C2212yescomplemented
283#2293C2212yescomplemented
284#2293C2212yescomplemented
285C2×#390C2211yescharacteristic
286C2×#390C2212yes—
287C2×#389C2211yescharacteristic
288#2290C2212yescomplemented
289#2290C2212yescomplemented
290C2×#388C2212yes—
291#2285C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C24×C4C2311yescharacteristic
304#536—28no—
305#535—44no—
306C2×C4⋊Q8C2312yes—
307C2×#127C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#125C2314yes—
312C2×#124—28no—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319#525—28no—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8—28no—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×#121—44no—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#120C2312yes—
347C2×#120C2314yes—
348#519—28no—
349#519—44no—
350#518—28no—
351C4×#41—44no—
352C2×C4×Q8—44no—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×#117—44no—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2314yes—
387C2×#117C2314yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2314yes—
395C2×#117C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2311yescharacteristic
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416C22×C42C2312yes—
417C22×C42C2312yes—
418#401C2312yes—
419#401C2314yes—
420#401C2312yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#392C2314yes—
497#392C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2314yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
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#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2314yes—
708#384C2314yes—
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#383C2312yes—
713#383C2312yes—
714#383C2314yes—
715#382C2314yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#381C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#379C2314yes—
749#379C2314yes—
750#379C2312yes—
751#379C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2311yescharacteristic
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C25C2412yes—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C22×Q8—24no—
828C22×Q8—24no—
829C22×Q8#4118yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—82no—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4—24no—
850C23×C4—24no—
851C23×C4—24no—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C4⋊Q8—28no—
873#127—44no—
874#126—44no—
875#126—44no—
876#126—84no—
877#125—84no—
878#124—28no—
879#124—28no—
880#124—28no—
881#124—28no—
882#124—28no—
883#124—44no—
884#123—216no—
885#123—28no—
886#123—48no—
887#123—48no—
888#123—84no—
889#123—84no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—24no—
897C22⋊Q8—24no—
898#121—24no—
899#121—24no—
900#121—48no—
901#121—44no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—84no—
908#120—28no—
909#120—48no—
910C4×Q8—28no—
911C4×Q8—28no—
912C4×Q8—28no—
913C4×Q8—28no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—42no—
919C4×Q8—42no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—42no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—24no—
941#117—24no—
942#117—216no—
943#117—44no—
944#117—44no—
945#117—48no—
946#117—44no—
947#117—48no—
948#117—42no—
949#117—42no—
950#117—84no—
951#117#4118yes—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—24no—
955C2×C4⋊C4—42no—
956C2×C4⋊C4—42no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—82no—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4—28no—
1022C2×C22⋊C4—28no—
1023C2×C22⋊C4—28no—
1024C2×C22⋊C4—216no—
1025C2×C22⋊C4—44no—
1026C2×C22⋊C4—42no—
1027C2×C22⋊C4—42no—
1028C2×C22⋊C4—44no—
1029C2×C22⋊C4—44no—
1030C2×C22⋊C4—82no—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C42—24no—
1097C2×C42—24no—
1098C2×C42—44no—
1099C2×C42—44no—
1100C2×C42—44no—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24—22no—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—24no—
1207C24—24no—
1208C24—24no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—42no—
1213C24—42no—
1214C24—42no—
1215C24—42no—
1216C24C2511yescharacteristic
1217C24C2514yes—
1218C24C2512yes—
1219C24C2511yescharacteristic
1220C24C2511yescharacteristic
1221#41—416no—
1222C2×Q8—232no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—22no—
1230C2×Q8C2×#4118yes—
1231C2×Q8C2×#4118yes—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—416no—
1263C2×D4—816no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—28no—
1293C22×C4—28no—
1294C22×C4—24no—
1295C22×C4—42no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—41no—
1307C22×C4—42no—
1308C22×C4—41no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—41no—
1319C22×C4—42no—
1320C22×C4—416no—
1321C22×C4C2×#4118yes—
1322C22×C4C2×#4114yes—
1323C22×C4C2×#4114yes—
1324C22×C4H(5,𝔽2)14yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2514yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—28no—
1358C4⋊C4—28no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—28no—
1362C4⋊C4—28no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4C2×#4114yes—
1416C4⋊C4C2×#4114yes—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—44no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4C2×#4118yes—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—28no—
1488C42—28no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—42no—
1500C42—42no—
1501C42—42no—
1502C42—42no—
1503C42—44no—
1504C42—44no—
1505C42—42no—
1506C42—42no—
1507C42—44no—
1508C42—44no—
1509C42—44no—
1510C42—42no—
1511C42—44no—
1512C42—42no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C42C2×#4118yes—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—21no—
1532C23—22no—
1533C23—21no—
1534C23—24no—
1535C23—22no—
1536C23—21no—
1537C23—24no—
1538C23—22no—
1539C23—22no—
1540C23—24no—
1541C23—21no—
1542C23—22no—
1543C23—24no—
1544C23—21no—
1545C23—24no—
1546C23—21no—
1547C23—22no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—48no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—84no—
1557C23—84no—
1558C23—84no—
1559C23—84no—
1560C23—84no—
1561C23—84no—
1562C23C22×#4112yes—
1563C23C22×#4112yes—
1564C23C2×H(5,𝔽2)12yes—
1565C23#58512yes—
1566C23C2611yescharacteristic
1567Q8—216no—
1568Q8—216no—
1569Q8—44no—
1570D4—48no—
1571D4—48no—
1572D4—48no—
1573D4—48no—
1574D4—44no—
1575D4—84no—
1576D4—88no—
1577D4—88no—
1578D4—164no—
1579D4—164no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—216no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—44no—
1662C2×C4—48no—
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—84no—
1672C2×C4—82no—
1673C2×C4—82no—
1674C2×C4—84no—
1675C2×C4—84no—
1676C2×C4—82no—
1677C2×C4—84no—
1678C2×C4—84no—
1679C2×C4#553116yes—
1680C2×C4C22×#4114yes—
1681C2×C4C22×#4114yes—
1682C2×C4C22×#4118yes—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4112yes—
1686C2×C4C22×#4112yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4#58512yes—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—41no—
1705C22—44no—
1706C22—42no—
1707C22—41no—
1708C22—44no—
1709C22—44no—
1710C22—42no—
1711C22—41no—
1712C22—44no—
1713C22—41no—
1714C22—42no—
1715C22—42no—
1716C22—41no—
1717C22—44no—
1718C22—42no—
1719C22—44no—
1720C22—41no—
1721C22—41no—
1722C22—42no—
1723C22—44no—
1724C22—88no—
1725C22—168no—
1726C22C2×#55314yes—
1727C22C23×#4111yescharacteristic
1728C22C23×#4111yescharacteristic
1729C22C22×H(5,𝔽2)11yescharacteristic
1730C22C2×#58511yescharacteristic
1731C22C2×#58511yescharacteristic
1732C22H(7,𝔽2)11yescharacteristic
1733C222−1+611yescharacteristic
1734C4—24no—
1735C4—24no—
1736C4—22no—
1737C4—28no—
1738C4—42no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—41no—
1743C4—41no—
1744C4—44no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—44no—
1750C4—41no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4—41no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—41no—
1760C4—41no—
1761C4—42no—
1762C4C2×#55314yes—
1763C4C2×#55314yes—
1764C2—24no—
1765C2—42no—
1766C2—82no—
1767C2—81no—
1768C2—84no—
1769C2C22×#55311yescharacteristic
1770C2#6281011yescharacteristic
1771C2#6285711yescharacteristic
1772C2#6292411yescharacteristic
1773C2#6295411yescharacteristic
1774C2#6300511yescharacteristic
1775C2#6300611yescharacteristic
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. #59853C2semidirect
2. #59848C2semidirect
3. #59701C2semidirect
4. #59700C2semidirect
5. #59697C2semidirect
6. #59692C2semidirect
7. #45298C2semidirect
8. #45285C2semidirect
9. #45194C2semidirect
10. #45028C2semidirect
11. #44045C2semidirect
12. #44002C2semidirect
13. #39261C2semidirect
14. #39261C2semidirect
15. #39259C2semidirect
16. #39259C2semidirect
17. #39194C2semidirect
18. #39188C2semidirect
19. #36539C2semidirect
20. #36464C2semidirect
21. #35677C2semidirect
22. #35661C2semidirect
23. #35545C2semidirect
25. #35265C2semidirect
26. #35262C2semidirect
27. #35254C2semidirect
28. #34814C2semidirect
29. C2×#2426C2semidirect
30. #34255C2semidirect
31. #34249C2semidirect
32. #34211C2semidirect
33. #34203C2semidirect
34. #34136C2semidirect
35. C4×#536C2semidirect
48. #2864C22semidirect
49. #2859C22semidirect
52. #2854C22semidirect
53. #2854C22semidirect
54. #2803C22semidirect
55. #2803C22semidirect
56. #2801C22semidirect
57. #2801C22semidirect
58. #2800C22semidirect
59. #2800C22semidirect
60. #2795C22semidirect
61. #2795C22semidirect
62. #2780C22semidirect
63. #2780C22semidirect
64. #2779C22semidirect
65. #2779C22semidirect
66. #2777C22semidirect
67. #2777C22semidirect
68. #2772C22semidirect
69. #2772C22semidirect
70. #2753C22semidirect
71. #2753C22semidirect
72. #2739C22semidirect
73. #2739C22semidirect
74. #2718C22semidirect
75. #2718C22semidirect
76. #2701C22semidirect
77. #2701C22semidirect
78. #2647C22semidirect
79. #2647C22semidirect
82. #2624C22semidirect
83. #2624C22semidirect
84. #2602C22semidirect
85. #2602C22semidirect
86. #2601C22semidirect
87. #2601C22semidirect
88. #2596C22semidirect
89. #2596C22semidirect
90. #2595C22semidirect
91. #2595C22semidirect
92. #2594C22semidirect
93. #2594C22semidirect
94. #2593C22semidirect
95. #2593C22semidirect
96. #2576C22semidirect
97. #2576C22semidirect
98. #2559C22semidirect
99. #2559C22semidirect
100. #2558C22semidirect
101. #2558C22semidirect
102. #2554C22semidirect
103. #2554C22semidirect
104. #2548C22semidirect
105. #2548C22semidirect
106. #2545C22semidirect
107. #2545C22semidirect
108. #2538C22semidirect
109. #2538C22semidirect
112. #2536C22semidirect
113. #2536C22semidirect
116. #2522C22semidirect
117. #2522C22semidirect
118. #2518C22semidirect
119. #2518C22semidirect
120. #2518C22semidirect
121. #2518C22semidirect
122. #2516C22semidirect
123. #2516C22semidirect
124. #2514C22semidirect
125. #2513C22semidirect
126. #2512C22semidirect
127. #2511C22semidirect
129. #2509C22semidirect
130. #2508C22semidirect
131. #2507C22semidirect
132. #2506C22semidirect
138. #2500C22semidirect
139. #2497C22semidirect
140. #2497C22semidirect
141. #2497C22semidirect
142. #2497C22semidirect
143. #2496C22semidirect
144. #2496C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
151. #2494C22semidirect
152. #2494C22semidirect
155. #2490C22semidirect
161. #2470C22semidirect
162. #2470C22semidirect
163. #2448C22semidirect
164. #2448C22semidirect
165. #2445C22semidirect
166. #2445C22semidirect
167. #2441C22semidirect
168. #2429C22semidirect
169. #2429C22semidirect
182. #2426C22semidirect
183. #2426C22semidirect
184. #2426C22semidirect
185. #2426C22semidirect
186. #2426C22semidirect
187. #2426C22semidirect
188. #2422C22semidirect
198. #2401C22semidirect
199. #2401C22semidirect
202. #2374C22semidirect
203. #2374C22semidirect
204. #2367C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
207. #2367C22semidirect
208. #2363C22semidirect
209. #2363C22semidirect
210. #2363C22semidirect
211. #2362C22semidirect
212. #2362C22semidirect
213. #2362C22semidirect
214. #2362C22semidirect
215. #2361C22semidirect
216. #2361C22semidirect
217. #2360C22semidirect
218. #2360C22semidirect
219. #2360C22semidirect
220. #2360C22semidirect
225. #2357C22semidirect
226. #2357C22semidirect
227. #2354C22semidirect
228. #2354C22semidirect
229. #2351C22semidirect
230. #2351C22semidirect
231. #2351C22semidirect
232. #2351C22semidirect
233. Q8×C4⋊C4C22semidirect
234. Q8×C4⋊C4C22semidirect
235. Q8×C4⋊C4C22semidirect
236. Q8×C4⋊C4C22semidirect
237. #2347C22semidirect
244. #2327C22semidirect
245. #2326C22semidirect
246. #2326C22semidirect
247. #2326C22semidirect
248. #2323C22semidirect
249. #2323C22semidirect
250. #2323C22semidirect
251. #2323C22semidirect
253. #2319C22semidirect
254. #2319C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×#126C22semidirect
268. C4×#126C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
288. #2290C22semidirect
289. #2290C22semidirect
295. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598532
#598482
#597012
#597002
#596972
#596922
#452982
#452852
#451942
#450282
#440452
#440022
#392612
#392592
#391942
#391882
#365392
#364642
#356772
#356612
#355452
#355142
#352652
#352622
#352542
#348142
C2×#24262
#342552
#342492
#342112
#342032
#341362
C4×#5362