Finite Group Databasebeta

← #7879698

Subgroups — #7879698

Order 512.

4561 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59862C212yesmaximal, complemented
2#59679C211yesmaximal, characteristic, complemented
3#59639C211yesmaximal, characteristic, complemented
4#59484C212yesmaximal, complemented
5#59435C211yesmaximal, characteristic, complemented
6#51152C214yesmaximal, complemented
7#49066C214yesmaximal, complemented
8#46948C214yesmaximal, complemented
9#45171C212yesmaximal, complemented
10#44961C212yesmaximal, complemented
11#44961C212yesmaximal, complemented
12#44958C212yesmaximal, complemented
13#43874C214yesmaximal, complemented
14#42983C212yesmaximal, complemented
15#42762C212yesmaximal, complemented
16#40034C212yesmaximal, complemented
17#39731C212yesmaximal, complemented
18#39490C211yesmaximal, characteristic, complemented
19#39251C212yesmaximal, complemented
20#39203C211yesmaximal, characteristic, complemented
21#38985C211yesmaximal, characteristic, complemented
22#38957C211yesmaximal, characteristic
23#38254C212yesmaximal, complemented
24#36609C211yesmaximal, characteristic, complemented
25#36591C211yesmaximal, characteristic, complemented
26#36289C211yesmaximal, characteristic
27#36058C212yesmaximal, complemented
28#36037C212yesmaximal, complemented
29#35651C212yesmaximal, complemented
30#35558C212yesmaximal, complemented
31#34941C211yesmaximal, characteristic, complemented
32#34902C211yesmaximal, characteristic, complemented
33#34493C211yesmaximal, characteristic
34#34324C211yesmaximal, characteristic, complemented
35#34317C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×D42C2211yescharacteristic
39#2862C2211yescharacteristic, complemented
40#2861C2212yescomplemented
41#2858C2211yescharacteristic
42#2858C2211yescharacteristic
43#2850C2212yes—
44#2830C2214yescomplemented
45#2800C2214yescomplemented
46#2798C2214yescomplemented
47#2798C2214yescomplemented
48#2796C2214yescomplemented
49#2796C2214yescomplemented
50#2793C2214yescomplemented
51#2790C2214yescomplemented
52#2786C2214yescomplemented
53#2782C2214yescomplemented
54#2775C2214yescomplemented
55#2772C2214yescomplemented
56#2761C2214yescomplemented
57#2761C2214yescomplemented
58#2754C2214yescomplemented
59#2751C2214yescomplemented
60#2750C2214yescomplemented
61#2750C2214yescomplemented
62#2743C2214yescomplemented
63#2736C2214yescomplemented
64#2735C2214yescomplemented
65#2735C2214yescomplemented
66#2735C2214yescomplemented
67#2735C2214yescomplemented
68#2735C2214yescomplemented
69#2723C2214yescomplemented
70#2723C2214yescomplemented
71#2715C2214yescomplemented
72#2700C2214yescomplemented
73#2698C2214yescomplemented
74#2689C2214yescomplemented
75#2689C2214yescomplemented
76#2685C2214yes—
77#2685C2214yes—
78#2651C2214yescomplemented
79#2651C2214yescomplemented
80#2650C2214yescomplemented
81#2650C2214yescomplemented
82#2644C2212yescomplemented
83#2625C2212yescomplemented
84#2621C2212yescomplemented
85#2620C2212yes—
86#2604C2214yescomplemented
87#2601C2214yescomplemented
88#2596C2214yescomplemented
89#2596C2212yescomplemented
90#2596C2214yescomplemented
91#2595C2214yescomplemented
92#2595C2214yescomplemented
93#2594C2212yescomplemented
94#2593C2214yescomplemented
95#2592C2211yescharacteristic
96#2592C2212yes—
97#2592C2212yescomplemented
98#2592C2212yescomplemented
99#2592C2212yescomplemented
100#2581C2211yescharacteristic, complemented
101#2580C2212yescomplemented
102#2578C2214yescomplemented
103#2576C2214yescomplemented
104#2575C2214yescomplemented
105#2574C2212yescomplemented
106#2574C2212yescomplemented
107#2572C2214yescomplemented
108#2571C2212yescomplemented
109#2571C2212yescomplemented
110#2570C2212yescomplemented
111#2570C2211yescharacteristic, complemented
112#2568C2211yescharacteristic, complemented
113#2567C2211yescharacteristic, complemented
114#2567C2211yescharacteristic, complemented
115#2566C2212yescomplemented
116#2563C2211yescharacteristic
117#2563C2211yescharacteristic
118#2561C2214yescomplemented
119#2561C2214yescomplemented
120#2552C2211yescharacteristic, complemented
121#2548C2211yescharacteristic
122#2548C2211yescharacteristic
123#2545C2211yescharacteristic
124#2545C2212yescomplemented
125#2542C2211yescharacteristic
126#2538C2211yescharacteristic
127#2538C2212yescomplemented
128#2531C2214yescomplemented
129#2531C2214yescomplemented
130#2530C2214yescomplemented
131#2529C2214yescomplemented
132#2529C2214yescomplemented
133#2526C2214yescomplemented
134#2526C2214yescomplemented
135#2525C2214yescomplemented
136#2525C2212yescomplemented
137#2516C2214yescomplemented
138#2516C2214yescomplemented
139#2516C2214yescomplemented
140#2515C2214yescomplemented
141#2515C2214yescomplemented
142#2514C2211yescharacteristic, complemented
143#2513C2212yes—
144#2513C2212yes—
145#2513C2212yes—
146#2513C2212yescomplemented
147#2513C2212yescomplemented
148#2513C2212yescomplemented
149#2513C2214yescomplemented
150#2513C2214yescomplemented
151#2513C2212yescomplemented
152#2512C2212yes—
153#2512C2211yescharacteristic
154#2512C2212yescomplemented
155#2512C2214yescomplemented
156#2512C2212yescomplemented
157#2512C2212yescomplemented
158#2512C2212yescomplemented
159#2512C2214yescomplemented
160#2511C2212yescomplemented
161#2508C2211yescharacteristic, complemented
162#2508C2211yescharacteristic, complemented
163#2504C2212yes—
164#2503C2212yescomplemented
165#2500C2212yes—
166#2499C2212yescomplemented
167#2499C2212yescomplemented
168#2497C2212yescomplemented
169#2496C2212yescomplemented
170#2495C2212yescomplemented
171#2492C2212yescomplemented
172#2490C2212yes—
173#2490C2212yes—
174#2489C2212yescomplemented
175#2483C2214yescomplemented
176#2482C2214yescomplemented
177#2480C2214yescomplemented
178#2480C2214yescomplemented
179#2480C2214yescomplemented
180#2480C2214yescomplemented
181#2480C2214yescomplemented
182#2477C2214yescomplemented
183#2472C2214yes—
184#2472C2214yes—
185#2469C2212yescomplemented
186#2466C2214yescomplemented
187#2454C2211yescharacteristic
188#2454C2211yescharacteristic
189#2453C2212yescomplemented
190#2453C2212yescomplemented
191#2452C2212yescomplemented
192#2448C2212yes—
193#2448C2211yescharacteristic
194#2448C2212yescomplemented
195#2448C2212yescomplemented
196#2448C2212yescomplemented
197#2448C2212yescomplemented
198#2447C2212yes—
199#2447C2212yes—
200#2447C2212yescomplemented
201#2447C2212yescomplemented
202#2447C2212yescomplemented
203#2447C2212yescomplemented
204#2447C2212yescomplemented
205#2446C2211yescharacteristic, complemented
206#2441C2212yescomplemented
207#2435C2212yes—
208#2435C2212yes—
209#2435C2212yes—
210#2435C2212yes—
211#2426C2212yes—
212#2426C2212yes—
213#2423C2212yescomplemented
214#2421C2212yescomplemented
215#2421C2212yescomplemented
216#2401C2212yescomplemented
217#2401C2214yescomplemented
218#2396C2212yescomplemented
219#2396C2212yescomplemented
220#2396C2212yescomplemented
221#2375C2214yes—
222#2373C2214yescomplemented
223#2370C2212yescomplemented
224#2369C2211yescharacteristic, complemented
225#2367C2212yes—
226#2367C2212yescomplemented
227#2367C2212yescomplemented
228#2367C2212yescomplemented
229#2367C2212yescomplemented
230#2366C2211yescharacteristic
231#2365C2211yescharacteristic, complemented
232#2363C2212yes—
233#2363C2212yes—
234#2362C2212yescomplemented
235#2362C2214yescomplemented
236#2362C2212yescomplemented
237#2362C2212yescomplemented
238#2357C2212yes—
239#2357C2212yescomplemented
240#2357C2212yescomplemented
241#2357C2212yescomplemented
242#2356C2212yescomplemented
243#2355C2212yescomplemented
244#2355C2211yescharacteristic, complemented
245#2355C2212yescomplemented
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic, complemented
249#2346C2212yescomplemented
250#2346C2212yescomplemented
251#2344C2212yescomplemented
252#2342C2214yescomplemented
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257#2334C2214yescomplemented
258#2334C2214yescomplemented
259#2332C2214yescomplemented
260#2326C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2323C2212yescomplemented
264#2323C2212yescomplemented
265#2321C2214yes—
266#2319C2212yescomplemented
267#2317C2212yescomplemented
268#2309C2212yes—
269#2309C2212yes—
270#2309C2212yes—
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#125C2212yescomplemented
277C4×#125C2211yescharacteristic, complemented
278C4×#125C2211yescharacteristic, complemented
279C4×#126C2212yescomplemented
280C4×#124C2211yescharacteristic
281C4×#124C2211yescharacteristic
282C4×#124C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284C4×C22⋊Q8C2212yescomplemented
285#2298C2212yescomplemented
286#2296C2212yescomplemented
287#2295C2211yescharacteristic, complemented
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292C2×#390C2212yes—
293#2285C2212yescomplemented
294#2276C2212yescomplemented
295#2274C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C23×D4C2312yes—
300C23×D4C2312yes—
301#556—28no—
302#554—28no—
303D42—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#126C2314yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#120C2314yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2314yes—
366C22×C4⋊C4C2312yes—
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2314yes—
369C22×C22⋊C4C2314yes—
370C22×C42C2312yes—
371#401C2312yes—
372#400C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#399C2314yes—
389#399C2314yes—
390#399C2312yes—
391#399C2314yes—
392#399C2314yes—
393#399C2312yes—
394#399C2312yes—
395#398C2314yes—
396#398C2312yes—
397#398C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2312yes—
401#398C2314yes—
402#398C2312yes—
403#398C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2312yes—
441#396C2314yes—
442#396C2312yes—
443#396C2312yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#395C2312yes—
453#395C2312yes—
454#395C2314yes—
455#395C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#393C2312yes—
467#393C2312yes—
468#393C2314yes—
469#393C2314yes—
470#393C2312yes—
471#393C2314yes—
472#393C2314yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
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#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#383C2312yes—
699#383C2314yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#379C2314yes—
732#379C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737#379C2314yes—
738#379C2314yes—
739#379C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C25C2414yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×D4—28no—
821C22×D4—28no—
822C22×D4—44no—
823C22×D4—44no—
824C22×D4—44no—
825C22×D4—44no—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—42no—
843C4⋊Q8—42no—
844#127—24no—
845#126—216no—
846#126—44no—
847#126—48no—
848#126—84no—
849#126—84no—
850#125—28no—
851#125—42no—
852#125—42no—
853#124—28no—
854#124—44no—
855#124—44no—
856#124—44no—
857#124—42no—
858#124—42no—
859#124—44no—
860#124—44no—
861#124—82no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—216no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—84no—
869#121—28no—
870#121—28no—
871#120—216no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—42no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—42no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×Q8—42no—
884C4×Q8—82no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—82no—
894C4×D4#4118yes—
895#117—28no—
896#117—44no—
897#117—44no—
898#117—44no—
899#117—44no—
900#117—44no—
901#117—84no—
902C2×C4⋊C4—28no—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C22⋊C4—48no—
974C2×C22⋊C4—84no—
975C2×C22⋊C4—84no—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C42—44no—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24—28no—
1150C24—44no—
1151C24—44no—
1152C24—44no—
1153C24—44no—
1154C24—44no—
1155C24—44no—
1156C24C2512yes—
1157C24C2514yes—
1158C24C2512yes—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—41no—
1171C2×Q8—41no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×D4—28no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—816no—
1198C2×D4—816no—
1199C2×D4C2×#4114yes—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—28no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4C2×#4118yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2514yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—44no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4C2×#4114yes—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4C2×#4118yes—
1381C42—28no—
1382C42—24no—
1383C42—24no—
1384C42—22no—
1385C42—24no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—42no—
1402C42—42no—
1403C42—44no—
1404C42—44no—
1405C42—42no—
1406C42—44no—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—44no—
1411C42—44no—
1412C42—42no—
1413C42—42no—
1414C42—44no—
1415C42—41no—
1416C42—44no—
1417C42—41no—
1418C42—42no—
1419C42—44no—
1420C42C2×#4114yes—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23—24no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—24no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—88no—
1442C23—88no—
1443C23—88no—
1444C23—88no—
1445C23—88no—
1446C23—164no—
1447C23—164no—
1448C23C22×#4114yes—
1449C23C2611yescharacteristic
1450Q8—44no—
1451Q8—48no—
1452Q8—44no—
1453Q8—44no—
1454Q8—84no—
1455Q8—84no—
1456D4—28no—
1457D4—48no—
1458D4—48no—
1459D4—44no—
1460D4—84no—
1461D4—88no—
1462D4—88no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—216no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—48no—
1552C2×C4—84no—
1553C2×C4—88no—
1554C2×C4—84no—
1555C2×C4—164no—
1556C2×C4—164no—
1557C2×C4C22×#4114yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4#58512yes—
1562C2×C4#58512yes—
1563C2×C4#58512yes—
1564C2×C4#58512yes—
1565C2×C4#58512yes—
1566C22—24no—
1567C22—24no—
1568C22—24no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—44no—
1574C22—42no—
1575C22—44no—
1576C22—42no—
1577C22—42no—
1578C22—44no—
1579C22—42no—
1580C22—44no—
1581C22—44no—
1582C22—42no—
1583C22—44no—
1584C22—42no—
1585C22—44no—
1586C22—42no—
1587C22—1616no—
1588C22C23×#4111yescharacteristic
1589C22C2×#58511yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22C2×#58511yescharacteristic
1592C22C2×#58511yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22H(7,𝔽2)11yescharacteristic
1595C4—22no—
1596C4—24no—
1597C4—22no—
1598C4—42no—
1599C4—42no—
1600C4—44no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—44no—
1610C4—42no—
1611C4—42no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—41no—
1620C4—41no—
1621C4—42no—
1622C4—41no—
1623C4—44no—
1624C4—41no—
1625C4#351014yes—
1626C4#352114yes—
1627C2—44no—
1628C2—84no—
1629C2—82no—
1630C2C2×#352111yescharacteristic
1631C2C2×#351011yescharacteristic
1632C2#6282711yescharacteristic
1633C2#6293811yescharacteristic
1634C2#6296611yescharacteristic
1635C2#6301011yescharacteristic
1636C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D42C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59862C2semidirect
2. #59679C2semidirect
3. #59639C2semidirect
4. #59484C2semidirect
5. #59435C2semidirect
6. #51152C2semidirect
7. #49066C2semidirect
8. #46948C2semidirect
9. #45171C2semidirect
10. #44961C2semidirect
11. #44961C2semidirect
12. #44958C2semidirect
13. #43874C2semidirect
14. #42983C2semidirect
15. #42762C2semidirect
16. #40034C2semidirect
17. #39731C2semidirect
18. #39490C2semidirect
19. #39251C2semidirect
20. #39203C2semidirect
21. #38985C2semidirect
23. #38254C2semidirect
24. #36609C2semidirect
25. #36591C2semidirect
27. #36058C2semidirect
28. #36037C2semidirect
29. #35651C2semidirect
30. #35558C2semidirect
31. #34941C2semidirect
32. #34902C2semidirect
34. #34324C2semidirect
35. #34317C2semidirect
39. #2862C22semidirect
40. #2861C22semidirect
44. #2830C22semidirect
45. #2800C22semidirect
46. #2798C22semidirect
47. #2798C22semidirect
48. #2796C22semidirect
49. #2796C22semidirect
50. #2793C22semidirect
51. #2790C22semidirect
52. #2786C22semidirect
53. #2782C22semidirect
54. #2775C22semidirect
55. #2772C22semidirect
56. #2761C22semidirect
57. #2761C22semidirect
58. #2754C22semidirect
59. #2751C22semidirect
60. #2750C22semidirect
61. #2750C22semidirect
62. #2743C22semidirect
63. #2736C22semidirect
64. #2735C22semidirect
65. #2735C22semidirect
66. #2735C22semidirect
67. #2735C22semidirect
68. #2735C22semidirect
69. #2723C22semidirect
70. #2723C22semidirect
71. #2715C22semidirect
72. #2700C22semidirect
73. #2698C22semidirect
74. #2689C22semidirect
75. #2689C22semidirect
78. #2651C22semidirect
79. #2651C22semidirect
80. #2650C22semidirect
81. #2650C22semidirect
82. #2644C22semidirect
83. #2625C22semidirect
84. #2621C22semidirect
86. #2604C22semidirect
87. #2601C22semidirect
88. #2596C22semidirect
89. #2596C22semidirect
90. #2596C22semidirect
91. #2595C22semidirect
92. #2595C22semidirect
93. #2594C22semidirect
94. #2593C22semidirect
97. #2592C22semidirect
98. #2592C22semidirect
99. #2592C22semidirect
100. #2581C22semidirect
101. #2580C22semidirect
102. #2578C22semidirect
103. #2576C22semidirect
104. #2575C22semidirect
105. #2574C22semidirect
106. #2574C22semidirect
107. #2572C22semidirect
108. #2571C22semidirect
109. #2571C22semidirect
110. #2570C22semidirect
111. #2570C22semidirect
112. #2568C22semidirect
113. #2567C22semidirect
114. #2567C22semidirect
115. #2566C22semidirect
118. #2561C22semidirect
119. #2561C22semidirect
120. #2552C22semidirect
124. #2545C22semidirect
127. #2538C22semidirect
128. #2531C22semidirect
129. #2531C22semidirect
130. #2530C22semidirect
131. #2529C22semidirect
132. #2529C22semidirect
133. #2526C22semidirect
134. #2526C22semidirect
135. #2525C22semidirect
136. #2525C22semidirect
137. #2516C22semidirect
138. #2516C22semidirect
139. #2516C22semidirect
140. #2515C22semidirect
141. #2515C22semidirect
142. #2514C22semidirect
146. #2513C22semidirect
147. #2513C22semidirect
148. #2513C22semidirect
149. #2513C22semidirect
150. #2513C22semidirect
151. #2513C22semidirect
154. #2512C22semidirect
155. #2512C22semidirect
156. #2512C22semidirect
157. #2512C22semidirect
158. #2512C22semidirect
159. #2512C22semidirect
160. #2511C22semidirect
161. #2508C22semidirect
162. #2508C22semidirect
164. #2503C22semidirect
166. #2499C22semidirect
167. #2499C22semidirect
168. #2497C22semidirect
169. #2496C22semidirect
170. #2495C22semidirect
171. #2492C22semidirect
174. #2489C22semidirect
175. #2483C22semidirect
176. #2482C22semidirect
177. #2480C22semidirect
178. #2480C22semidirect
179. #2480C22semidirect
180. #2480C22semidirect
181. #2480C22semidirect
182. #2477C22semidirect
185. #2469C22semidirect
186. #2466C22semidirect
189. #2453C22semidirect
190. #2453C22semidirect
191. #2452C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2448C22semidirect
197. #2448C22semidirect
200. #2447C22semidirect
201. #2447C22semidirect
202. #2447C22semidirect
203. #2447C22semidirect
204. #2447C22semidirect
205. #2446C22semidirect
206. #2441C22semidirect
213. #2423C22semidirect
214. #2421C22semidirect
215. #2421C22semidirect
216. #2401C22semidirect
217. #2401C22semidirect
218. #2396C22semidirect
219. #2396C22semidirect
220. #2396C22semidirect
222. #2373C22semidirect
223. #2370C22semidirect
224. #2369C22semidirect
226. #2367C22semidirect
227. #2367C22semidirect
228. #2367C22semidirect
229. #2367C22semidirect
231. #2365C22semidirect
234. #2362C22semidirect
235. #2362C22semidirect
236. #2362C22semidirect
237. #2362C22semidirect
239. #2357C22semidirect
240. #2357C22semidirect
241. #2357C22semidirect
242. #2356C22semidirect
243. #2355C22semidirect
244. #2355C22semidirect
245. #2355C22semidirect
248. Q8×C4⋊C4C22semidirect
249. #2346C22semidirect
250. #2346C22semidirect
251. #2344C22semidirect
252. #2342C22semidirect
257. #2334C22semidirect
258. #2334C22semidirect
259. #2332C22semidirect
263. #2323C22semidirect
264. #2323C22semidirect
266. #2319C22semidirect
267. #2317C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
276. C4×#125C22semidirect
277. C4×#125C22semidirect
278. C4×#125C22semidirect
279. C4×#126C22semidirect
282. C4×#124C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. #2298C22semidirect
286. #2296C22semidirect
287. #2295C22semidirect
293. #2285C22semidirect
294. #2276C22semidirect
295. #2274C22semidirect
296. C42×Q8C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598622
#596792
#596392
#594842
#594352
#511522
#490662
#469482
#451712
#449612
#449582
#438742
#429832
#427622
#400342
#397312
#394902
#392512
#392032
#389852
#389572
#382542
#366092
#365912
#362892
#360582
#360372
#356512
#355582
#349412
#349022
#344932
#343242
#343172