Finite Group Databasebeta

← #7986694

Subgroups — #7986694

Order 512.

4958 conjugacy classes of subgroups.

The subgroup lattice has 1745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59243C211yesmaximal, characteristic, complemented
3#59227C211yesmaximal, characteristic, complemented
4#59224C212yesmaximal, complemented
5#59103C212yesmaximal, complemented
6#49274C214yesmaximal, complemented
7#49166C214yesmaximal, complemented
8#46121C214yesmaximal, complemented
9#45061C212yesmaximal, complemented
10#45024C212yesmaximal, complemented
11#45019C212yesmaximal, complemented
12#44961C212yesmaximal, complemented
13#42974C212yesmaximal, complemented
14#42946C212yesmaximal, complemented
15#42784C212yesmaximal, complemented
16#42745C212yesmaximal, complemented
17#39736C211yesmaximal, characteristic, complemented
18#39192C211yesmaximal, characteristic, complemented
19#38965C211yesmaximal, characteristic, complemented
20#38910C211yesmaximal, characteristic, complemented
21#38633C214yesmaximal, complemented
22#38034C212yesmaximal, complemented
23#37987C212yesmaximal, complemented
24#36414C212yesmaximal, complemented
25#36414C212yesmaximal, complemented
26#36258C211yesmaximal, characteristic, complemented
27#36211C211yesmaximal, characteristic, complemented
28#36117C211yesmaximal, characteristic, complemented
29#35266C212yesmaximal, complemented
30#35212C212yesmaximal, complemented
31#34763C211yesmaximal, characteristic, complemented
32#34724C211yesmaximal, characteristic, complemented
33#34493C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#546C2212yes—
37C2×D42C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C2×#529C2212yescomplemented
40C2×#529C2212yescomplemented
41C2×C4×#41C2211yescharacteristic
42#2860C2214yescomplemented
43#2860C2214yescomplemented
44#2860C2214yescomplemented
45#2859C2211yescharacteristic, complemented
46#2856C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2212yes—
49#2854C2212yescomplemented
50#2838C2214yescomplemented
51#2829C2214yescomplemented
52#2808C2214yescomplemented
53#2800C2214yescomplemented
54#2796C2214yescomplemented
55#2786C2214yescomplemented
56#2781C2214yescomplemented
57#2778C2214yescomplemented
58#2777C2214yescomplemented
59#2772C2214yescomplemented
60#2770C2214yescomplemented
61#2768C2214yescomplemented
62#2765C2214yescomplemented
63#2761C2214yescomplemented
64#2761C2214yescomplemented
65#2756C2214yescomplemented
66#2750C2214yescomplemented
67#2746C2214yescomplemented
68#2740C2214yescomplemented
69#2737C2214yescomplemented
70#2735C2214yescomplemented
71#2735C2214yescomplemented
72#2725C2214yescomplemented
73#2723C2214yescomplemented
74#2708C2214yescomplemented
75#2704C2214yescomplemented
76#2703C2214yescomplemented
77#2697C2214yescomplemented
78#2697C2214yescomplemented
79#2691C2214yescomplemented
80#2685C2214yes—
81#2685C2214yescomplemented
82#2681C2214yescomplemented
83#2678C2214yes—
84#2678C2214yescomplemented
85#2667C2214yescomplemented
86#2663C2214yescomplemented
87#2661C2214yescomplemented
88#2651C2214yescomplemented
89#2644C2214yescomplemented
90#2644C2214yescomplemented
91#2629C2212yescomplemented
92#2625C2212yescomplemented
93#2624C2212yes—
94#2620C2212yescomplemented
95#2611C2214yescomplemented
96#2610C2214yescomplemented
97#2602C2214yescomplemented
98#2602C2214yescomplemented
99#2594C2214yescomplemented
100#2592C2212yescomplemented
101#2592C2212yescomplemented
102#2584C2212yescomplemented
103#2571C2212yescomplemented
104#2566C2212yescomplemented
105#2563C2212yescomplemented
106#2562C2212yescomplemented
107#2561C2214yescomplemented
108#2558C2214yescomplemented
109#2554C2214yescomplemented
110#2554C2214yescomplemented
111#2553C2214yescomplemented
112#2553C2214yescomplemented
113#2552C2211yescharacteristic, complemented
114#2552C2211yescharacteristic, complemented
115#2548C2211yescharacteristic
116#2548C2211yescharacteristic
117#2547C2212yescomplemented
118#2540C2212yes—
119#2538C2211yescharacteristic
120#2538C2211yescharacteristic
121#2538C2212yes—
122#2535C2212yescomplemented
123#2531C2214yescomplemented
124#2531C2214yescomplemented
125#2531C2214yescomplemented
126#2529C2214yescomplemented
127#2529C2214yescomplemented
128#2529C2214yescomplemented
129#2526C2214yescomplemented
130#2526C2214yescomplemented
131#2521C2212yescomplemented
132#2519C2212yescomplemented
133#2513C2212yes—
134#2513C2212yes—
135#2513C2212yes—
136#2513C2212yescomplemented
137#2513C2212yescomplemented
138#2513C2212yescomplemented
139#2513C2212yescomplemented
140#2512C2212yes—
141#2512C2211yescharacteristic
142#2512C2212yescomplemented
143#2512C2212yescomplemented
144#2512C2212yescomplemented
145#2509C2212yescomplemented
146#2507C2212yescomplemented
147#2507C2212yescomplemented
148#2506C2211yescharacteristic, complemented
149#2501C2211yescharacteristic
150#2501C2212yescomplemented
151#2500C2212yes—
152#2499C2212yescomplemented
153#2496C2212yescomplemented
154#2496C2211yescharacteristic, complemented
155#2494C2212yescomplemented
156#2494C2212yescomplemented
157#2491C2211yescharacteristic
158#2490C2212yes—
159#2490C2212yes—
160#2490C2212yescomplemented
161#2490C2212yescomplemented
162#2490C2212yescomplemented
163#2489C2212yescomplemented
164#2488C2212yescomplemented
165#2486C2211yescharacteristic, complemented
166#2485C2214yescomplemented
167#2482C2214yescomplemented
168#2480C2214yescomplemented
169#2480C2214yescomplemented
170#2480C2214yescomplemented
171#2480C2214yescomplemented
172#2479C2214yescomplemented
173#2478C2212yescomplemented
174#2472C2214yescomplemented
175#2471C2214yescomplemented
176#2471C2214yescomplemented
177#2470C2212yescomplemented
178#2470C2214yescomplemented
179#2466C2212yescomplemented
180#2455C2212yescomplemented
181#2454C2212yes—
182#2454C2212yescomplemented
183#2453C2211yescharacteristic, complemented
184#2448C2212yescomplemented
185#2447C2211yescharacteristic
186#2447C2212yescomplemented
187#2441C2212yescomplemented
188#2441C2211yescharacteristic, complemented
189#2440C2212yescomplemented
190#2440C2211yescharacteristic, complemented
191#2435C2212yes—
192#2432C2211yescharacteristic
193#2429C2212yescomplemented
194#2429C2211yescharacteristic, complemented
195#2426C2212yes—
196#2425C2214yescomplemented
197#2425C2212yescomplemented
198#2424C2214yes—
199#2422C2211yescharacteristic
200#2420C2212yescomplemented
201#2420C2214yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2418C2214yescomplemented
205#2416C2212yes—
206#2416C2211yescharacteristic
207#2415C2212yescomplemented
208#2415C2212yescomplemented
209#2415C2211yescharacteristic, complemented
210#2414C2212yes—
211#2414C2212yes—
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2412C2214yescomplemented
215#2411C2214yes—
216#2408C2212yes—
217#2408C2212yes—
218#2408C2212yes—
219#2407C2211yescharacteristic
220#2396C2212yescomplemented
221#2395C2212yescomplemented
222#2395C2212yescomplemented
223#2392C2212yescomplemented
224#2376C2214yescomplemented
225#2375C2214yes—
226#2370C2212yescomplemented
227#2370C2212yescomplemented
228#2367C2212yes—
229#2366C2211yescharacteristic
230#2363C2212yes—
231#2363C2212yes—
232#2363C2212yescomplemented
233#2363C2212yescomplemented
234#2361C2212yescomplemented
235#2357C2212yes—
236#2357C2212yescomplemented
237#2356C2212yescomplemented
238#2355C2211yescharacteristic, complemented
239#2355C2211yescharacteristic, complemented
240#2355C2211yescharacteristic, complemented
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2212yescomplemented
245#2354C2212yescomplemented
246#2354C2212yescomplemented
247#2354C2212yescomplemented
248#2354C2212yescomplemented
249#2353C2214yescomplemented
250#2352C2212yescomplemented
251#2352C2212yescomplemented
252#2352C2212yescomplemented
253Q8×C4⋊C4C2211yescharacteristic, complemented
254D4×C4⋊C4C2211yescharacteristic
255#2346C2212yescomplemented
256#2346C2212yescomplemented
257#2342C2214yescomplemented
258D4×C22⋊C4C2212yes—
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261#2334C2214yescomplemented
262#2324C2212yes—
263#2324C2212yes—
264#2324C2212yes—
265#2324C2212yescomplemented
266#2323C2212yescomplemented
267#2323C2212yescomplemented
268#2321C2214yes—
269#2317C2212yescomplemented
270#2316C2212yescomplemented
271#2314C2212yescomplemented
272#2309C2212yes—
273#2309C2212yes—
274#2309C2212yes—
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×#123C2212yescomplemented
281C4×#123C2212yescomplemented
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2298C2214yescomplemented
285#2298C2214yescomplemented
286#2297C2212yes—
287#2296C2212yescomplemented
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290C2×#390C2212yes—
291#2285C2211yescharacteristic, complemented
292#2285C2211yescharacteristic, complemented
293#2285C2211yescharacteristic, complemented
294#2283C2212yescomplemented
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C23×D4C2312yes—
301C23×D4C2312yes—
302#546—48no—
303D42—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307#529—28no—
308#529—48no—
309#529—48no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2311yescharacteristic
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C4×#41—28no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C42C2312yes—
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403#401C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2312yes—
416#399C2312yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#395C2312yes—
474#395C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2312yes—
504#392C2314yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#383C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#381C2312yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#379C2314yes—
751#379C2314yes—
752#379C2314yes—
753#379C2314yes—
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2314yes—
810#376C2314yes—
811#376C2314yes—
812#376C2314yes—
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2314yes—
816C25C2414yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—42no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×D4—28no—
824C22×D4—28no—
825C22×D4—44no—
826C22×D4—44no—
827C22×D4—44no—
828C22×D4—44no—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2414yes—
858C4⋊Q8—42no—
859C4⋊Q8—42no—
860#127—24no—
861#126—28no—
862#126—44no—
863#126—48no—
864#126—44no—
865#126—84no—
866#126—84no—
867#125—24no—
868#125—44no—
869#125—44no—
870#125—44no—
871#125—82no—
872#124—24no—
873#124—44no—
874#124—44no—
875#124—44no—
876#123—28no—
877#123—44no—
878#123—44no—
879#123—48no—
880#123—44no—
881#123—44no—
882#123—48no—
883#123—84no—
884C22⋊Q8—24no—
885C22⋊Q8—24no—
886C22⋊Q8—44no—
887C22⋊Q8—42no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—84no—
891#121—24no—
892#121—28no—
893#121—28no—
894#121—28no—
895#121—48no—
896#121—44no—
897#121—42no—
898#121—44no—
899#121—44no—
900#121—42no—
901#121—44no—
902#121—82no—
903#121—82no—
904#120—216no—
905#120—48no—
906#120—84no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4#4118yes—
930#117—28no—
931#117—24no—
932#117—28no—
933#117—44no—
934#117—44no—
935#117—44no—
936#117—48no—
937#117—44no—
938#117—44no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—48no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—42no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C22⋊C4—48no—
1015C2×C22⋊C4—48no—
1016C2×C22⋊C4—84no—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C42—28no—
1088C2×C42—28no—
1089C2×C42—24no—
1090C2×C42—24no—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24—28no—
1184C24—44no—
1185C24—44no—
1186C24—44no—
1187C24—44no—
1188C24—44no—
1189C24—44no—
1190C24C2512yes—
1191C24C2514yes—
1192C24C2511yescharacteristic
1193C24C2512yes—
1194C24C2511yescharacteristic
1195#41—416no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—28no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—816no—
1247C2×D4—816no—
1248C2×D4C2×#4114yes—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—28no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—44no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4C2×#4118yes—
1293C22×C4H(5,𝔽2)14yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4C2×#4114yes—
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—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4C2×#4118yes—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—24no—
1478C42—22no—
1479C42—24no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—44no—
1484C42—44no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—41no—
1492C42—44no—
1493C42C2×#4114yes—
1494C23—21no—
1495C23—22no—
1496C23—22no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—22no—
1508C23—24no—
1509C23—21no—
1510C23—22no—
1511C23—24no—
1512C23—22no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—24no—
1517C23—21no—
1518C23—24no—
1519C23—24no—
1520C23—24no—
1521C23—21no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—24no—
1526C23—21no—
1527C23—88no—
1528C23—88no—
1529C23—88no—
1530C23—88no—
1531C23—88no—
1532C23—164no—
1533C23—164no—
1534C23C22×#4114yes—
1535C23C2×H(5,𝔽2)12yes—
1536C23C2611yescharacteristic
1537Q8—44no—
1538Q8—44no—
1539Q8—84no—
1540D4—28no—
1541D4—48no—
1542D4—44no—
1543D4—48no—
1544D4—48no—
1545D4—44no—
1546D4—84no—
1547D4—88no—
1548D4—84no—
1549D4—84no—
1550D4—88no—
1551D4—88no—
1552D4—84no—
1553D4—164no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—28no—
1563C2×C4—216no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—48no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—82no—
1642C2×C4—82no—
1643C2×C4—88no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—84no—
1647C2×C4—88no—
1648C2×C4—164no—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4114yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4#58512yes—
1656C2×C4#58512yes—
1657C2×C4#58512yes—
1658C2×C4#58512yes—
1659C22—24no—
1660C22—22no—
1661C22—24no—
1662C22—22no—
1663C22—24no—
1664C22—22no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—44no—
1675C22—42no—
1676C22—44no—
1677C22—41no—
1678C22—42no—
1679C22—44no—
1680C22—41no—
1681C22—42no—
1682C22—41no—
1683C22—42no—
1684C22—44no—
1685C22—41no—
1686C22—42no—
1687C22—44no—
1688C22—41no—
1689C22—44no—
1690C22—42no—
1691C22—41no—
1692C22—44no—
1693C22—42no—
1694C22—1616no—
1695C22C23×#4111yescharacteristic
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C2×#58511yescharacteristic
1698C22C2×#58511yescharacteristic
1699C22C2×#58511yescharacteristic
1700C22C2×#58511yescharacteristic
1701C22H(7,𝔽2)11yescharacteristic
1702C4—22no—
1703C4—22no—
1704C4—24no—
1705C4—22no—
1706C4—42no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—44no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—44no—
1726C4—41no—
1727C4—41no—
1728C4—42no—
1729C4—44no—
1730C4#349414yes—
1731C4#352114yes—
1732C2—42no—
1733C2—44no—
1734C2—81no—
1735C2—84no—
1736C2—82no—
1737C2#6275911yescharacteristic
1738C2C2×#352111yescharacteristic
1739C2C2×#349411yescharacteristic
1740C2#6295511yescharacteristic
1741C2#6296911yescharacteristic
1742C2#6299411yescharacteristic
1743C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59863C2semidirect
2. #59243C2semidirect
3. #59227C2semidirect
4. #59224C2semidirect
5. #59103C2semidirect
6. #49274C2semidirect
7. #49166C2semidirect
8. #46121C2semidirect
9. #45061C2semidirect
10. #45024C2semidirect
11. #45019C2semidirect
12. #44961C2semidirect
13. #42974C2semidirect
14. #42946C2semidirect
15. #42784C2semidirect
16. #42745C2semidirect
17. #39736C2semidirect
18. #39192C2semidirect
19. #38965C2semidirect
20. #38910C2semidirect
21. #38633C2semidirect
22. #38034C2semidirect
23. #37987C2semidirect
24. #36414C2semidirect
25. #36414C2semidirect
26. #36258C2semidirect
27. #36211C2semidirect
28. #36117C2semidirect
29. #35266C2semidirect
30. #35212C2semidirect
31. #34763C2semidirect
32. #34724C2semidirect
33. #34493C2semidirect
34. #34383C2semidirect
35. #34121C2semidirect
39. C2×#529C22semidirect
40. C2×#529C22semidirect
42. #2860C22semidirect
43. #2860C22semidirect
44. #2860C22semidirect
45. #2859C22semidirect
49. #2854C22semidirect
50. #2838C22semidirect
51. #2829C22semidirect
52. #2808C22semidirect
53. #2800C22semidirect
54. #2796C22semidirect
55. #2786C22semidirect
56. #2781C22semidirect
57. #2778C22semidirect
58. #2777C22semidirect
59. #2772C22semidirect
60. #2770C22semidirect
61. #2768C22semidirect
62. #2765C22semidirect
63. #2761C22semidirect
64. #2761C22semidirect
65. #2756C22semidirect
66. #2750C22semidirect
67. #2746C22semidirect
68. #2740C22semidirect
69. #2737C22semidirect
70. #2735C22semidirect
71. #2735C22semidirect
72. #2725C22semidirect
73. #2723C22semidirect
74. #2708C22semidirect
75. #2704C22semidirect
76. #2703C22semidirect
77. #2697C22semidirect
78. #2697C22semidirect
79. #2691C22semidirect
81. #2685C22semidirect
82. #2681C22semidirect
84. #2678C22semidirect
85. #2667C22semidirect
86. #2663C22semidirect
87. #2661C22semidirect
88. #2651C22semidirect
89. #2644C22semidirect
90. #2644C22semidirect
91. #2629C22semidirect
92. #2625C22semidirect
94. #2620C22semidirect
95. #2611C22semidirect
96. #2610C22semidirect
97. #2602C22semidirect
98. #2602C22semidirect
99. #2594C22semidirect
100. #2592C22semidirect
101. #2592C22semidirect
102. #2584C22semidirect
103. #2571C22semidirect
104. #2566C22semidirect
105. #2563C22semidirect
106. #2562C22semidirect
107. #2561C22semidirect
108. #2558C22semidirect
109. #2554C22semidirect
110. #2554C22semidirect
111. #2553C22semidirect
112. #2553C22semidirect
113. #2552C22semidirect
114. #2552C22semidirect
117. #2547C22semidirect
122. #2535C22semidirect
123. #2531C22semidirect
124. #2531C22semidirect
125. #2531C22semidirect
126. #2529C22semidirect
127. #2529C22semidirect
128. #2529C22semidirect
129. #2526C22semidirect
130. #2526C22semidirect
131. #2521C22semidirect
132. #2519C22semidirect
136. #2513C22semidirect
137. #2513C22semidirect
138. #2513C22semidirect
139. #2513C22semidirect
142. #2512C22semidirect
143. #2512C22semidirect
144. #2512C22semidirect
145. #2509C22semidirect
146. #2507C22semidirect
147. #2507C22semidirect
148. #2506C22semidirect
150. #2501C22semidirect
152. #2499C22semidirect
153. #2496C22semidirect
154. #2496C22semidirect
155. #2494C22semidirect
156. #2494C22semidirect
160. #2490C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2489C22semidirect
164. #2488C22semidirect
165. #2486C22semidirect
166. #2485C22semidirect
167. #2482C22semidirect
168. #2480C22semidirect
169. #2480C22semidirect
170. #2480C22semidirect
171. #2480C22semidirect
172. #2479C22semidirect
173. #2478C22semidirect
174. #2472C22semidirect
175. #2471C22semidirect
176. #2471C22semidirect
177. #2470C22semidirect
178. #2470C22semidirect
179. #2466C22semidirect
180. #2455C22semidirect
182. #2454C22semidirect
183. #2453C22semidirect
184. #2448C22semidirect
186. #2447C22semidirect
187. #2441C22semidirect
188. #2441C22semidirect
189. #2440C22semidirect
190. #2440C22semidirect
193. #2429C22semidirect
194. #2429C22semidirect
196. #2425C22semidirect
197. #2425C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2418C22semidirect
207. #2415C22semidirect
208. #2415C22semidirect
209. #2415C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2412C22semidirect
220. #2396C22semidirect
221. #2395C22semidirect
222. #2395C22semidirect
223. #2392C22semidirect
224. #2376C22semidirect
226. #2370C22semidirect
227. #2370C22semidirect
232. #2363C22semidirect
233. #2363C22semidirect
234. #2361C22semidirect
236. #2357C22semidirect
237. #2356C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2353C22semidirect
250. #2352C22semidirect
251. #2352C22semidirect
252. #2352C22semidirect
253. Q8×C4⋊C4C22semidirect
255. #2346C22semidirect
256. #2346C22semidirect
257. #2342C22semidirect
261. #2334C22semidirect
265. #2324C22semidirect
266. #2323C22semidirect
267. #2323C22semidirect
269. #2317C22semidirect
270. #2316C22semidirect
271. #2314C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×#123C22semidirect
281. C4×#123C22semidirect
284. #2298C22semidirect
285. #2298C22semidirect
287. #2296C22semidirect
291. #2285C22semidirect
292. #2285C22semidirect
293. #2285C22semidirect
294. #2283C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#598632
#592432
#592272
#592242
#591032
#492742
#491662
#461212
#450612
#450242
#450192
#449612
#429742
#429462
#427842
#427452
#397362
#391922
#389652
#389102
#386332
#380342
#379872
#364142
#362582
#362112
#361172
#352662
#352122
#347632
#347242
#344932
#343832
#341212