Finite Group Databasebeta

← #7654384

Subgroups — #7654384

Order 512.

5651 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42736C212yesmaximal, complemented
2#42731C212yesmaximal, complemented
3#41815C214yesmaximal, complemented
4#41256C214yesmaximal, complemented
5#40173C212yesmaximal, complemented
6#39469C211yesmaximal, characteristic, complemented
7#39443C214yesmaximal, complemented
8#39434C212yesmaximal, complemented
9#39426C212yesmaximal, complemented
10#39401C212yesmaximal, complemented
11#39369C211yesmaximal, characteristic, complemented
12#39342C211yesmaximal, characteristic, complemented
13#38953C211yesmaximal, characteristic, complemented
14#38862C214yesmaximal, complemented
15#38206C212yesmaximal, complemented
16#37969C212yesmaximal, complemented
17#37636C211yesmaximal, characteristic, complemented
18#37513C212yesmaximal, complemented
19#36463C211yesmaximal, characteristic, complemented
20#36461C212yesmaximal, complemented
21#36459C211yesmaximal, characteristic, complemented
22#36273C211yesmaximal, characteristic, complemented
23#36273C212yesmaximal, complemented
24#36187C211yesmaximal, characteristic, complemented
25#36022C212yesmaximal, complemented
26#36004C212yesmaximal, complemented
27#35277C211yesmaximal, characteristic, complemented
28#35264C212yesmaximal, complemented
29#35171C211yesmaximal, characteristic, complemented
30#35007C212yesmaximal, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34797C212yesmaximal, complemented
33#34310C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2212yescomplemented
38C2×#555C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#544C2212yescomplemented
41C2×#542C2212yescomplemented
42C2×#540C2212yescomplemented
43C2×#538C2214yescomplemented
44C2×#535C2212yes—
45C2×#532C2211yescharacteristic
46C2×#518C2212yes—
47#2868C2211yescharacteristic, complemented
48#2861C2214yescomplemented
49#2860C2212yes—
50#2858C2211yescharacteristic
51#2858C2212yescomplemented
52#2858C2214yescomplemented
53#2857C2211yescharacteristic, complemented
54#2856C2212yes—
55#2856C2211yescharacteristic
56#2856C2212yescomplemented
57#2854C2212yescomplemented
58#2854C2212yescomplemented
59#2832C2214yescomplemented
60#2832C2214yescomplemented
61#2828C2214yescomplemented
62#2763C2214yescomplemented
63#2753C2214yescomplemented
64#2753C2214yescomplemented
65#2736C2214yescomplemented
66#2723C2214yescomplemented
67#2720C2214yescomplemented
68#2712C2214yescomplemented
69#2711C2214yescomplemented
70#2710C2214yescomplemented
71#2706C2214yescomplemented
72#2696C2214yescomplemented
73#2696C2214yescomplemented
74#2685C2214yescomplemented
75#2678C2214yescomplemented
76#2677C2214yescomplemented
77#2676C2214yescomplemented
78#2676C2214yescomplemented
79#2674C2214yescomplemented
80#2673C2214yescomplemented
81#2670C2214yes—
82#2670C2214yes—
83#2670C2214yes—
84#2669C2214yes—
85#2668C2214yescomplemented
86#2662C2214yescomplemented
87#2661C2214yescomplemented
88#2661C2214yescomplemented
89#2641C2214yescomplemented
90#2640C2212yescomplemented
91#2640C2214yescomplemented
92#2635C2214yescomplemented
93#2635C2214yescomplemented
94#2632C2214yescomplemented
95#2631C2214yescomplemented
96#2631C2214yescomplemented
97#2628C2212yescomplemented
98#2628C2212yescomplemented
99#2628C2212yescomplemented
100#2624C2212yes—
101#2624C2212yescomplemented
102#2620C2212yescomplemented
103#2619C2212yes—
104#2615C2212yes—
105#2615C2212yescomplemented
106#2610C2214yescomplemented
107#2610C2214yescomplemented
108#2610C2214yescomplemented
109#2598C2214yescomplemented
110#2572C2214yescomplemented
111#2563C2211yescharacteristic
112#2563C2211yescharacteristic, complemented
113#2563C2212yescomplemented
114#2560C2214yescomplemented
115#2558C2214yescomplemented
116#2557C2214yescomplemented
117#2557C2214yescomplemented
118#2555C2214yescomplemented
119#2555C2214yescomplemented
120#2555C2214yescomplemented
121#2554C2214yescomplemented
122#2552C2211yescharacteristic, complemented
123#2551C2211yescharacteristic, complemented
124#2551C2212yescomplemented
125#2542C2212yes—
126#2541C2211yescharacteristic
127#2541C2211yescharacteristic
128#2541C2212yes—
129#2540C2214yescomplemented
130#2539C2214yescomplemented
131#2537C2211yescharacteristic
132#2537C2211yescharacteristic, complemented
133#2537C2212yescomplemented
134#2535C2212yes—
135#2532C2214yescomplemented
136#2532C2214yescomplemented
137#2531C2212yescomplemented
138#2531C2214yescomplemented
139#2529C2214yescomplemented
140#2526C2214yescomplemented
141#2526C2212yescomplemented
142#2518C2214yescomplemented
143#2513C2211yescharacteristic
144#2513C2212yescomplemented
145#2512C2212yescomplemented
146#2512C2212yescomplemented
147#2507C2211yescharacteristic, complemented
148#2506C2212yescomplemented
149#2500C2212yes—
150#2500C2214yescomplemented
151#2497C2211yescharacteristic, complemented
152#2496C2212yescomplemented
153#2495C2212yescomplemented
154#2495C2212yescomplemented
155#2495C2212yescomplemented
156#2491C2212yes—
157#2491C2212yes—
158#2491C2212yes—
159#2491C2214yescomplemented
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2491C2214yescomplemented
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2491C2212yescomplemented
166#2491C2212yescomplemented
167#2490C2212yes—
168#2490C2211yescharacteristic
169#2490C2212yescomplemented
170#2490C2212yescomplemented
171#2485C2212yescomplemented
172#2485C2212yescomplemented
173#2482C2214yescomplemented
174#2476C2212yescomplemented
175#2472C2214yescomplemented
176#2472C2214yescomplemented
177#2472C2214yescomplemented
178#2472C2214yescomplemented
179#2472C2214yescomplemented
180#2472C2214yescomplemented
181#2471C2212yescomplemented
182#2467C2214yescomplemented
183#2464C2214yescomplemented
184#2461C2214yescomplemented
185#2461C2214yescomplemented
186#2459C2214yescomplemented
187#2454C2211yescharacteristic, complemented
188#2452C2212yes—
189#2452C2212yescomplemented
190#2452C2212yescomplemented
191#2445C2211yescharacteristic
192#2445C2212yescomplemented
193#2441C2212yescomplemented
194#2440C2212yescomplemented
195#2439C2212yescomplemented
196#2433C2212yes—
197#2433C2212yes—
198#2428C2211yescharacteristic
199#2428C2212yes—
200#2428C2214yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2424C2214yescomplemented
205#2424C2214yescomplemented
206#2422C2212yescomplemented
207#2422C2212yescomplemented
208#2422C2212yescomplemented
209#2420C2212yescomplemented
210#2420C2211yescharacteristic, complemented
211#2416C2212yescomplemented
212#2414C2212yes—
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yescomplemented
216#2414C2212yescomplemented
217#2408C2212yes—
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2395C2214yescomplemented
222#2395C2212yescomplemented
223#2392C2214yescomplemented
224#2392C2212yescomplemented
225#2372C2214yescomplemented
226#2372C2212yescomplemented
227#2372C2212yescomplemented
228#2369C2211yescharacteristic, complemented
229#2369C2211yescharacteristic, complemented
230#2369C2211yescharacteristic, complemented
231#2366C2211yescharacteristic
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2366C2212yescomplemented
235#2363C2212yes—
236#2363C2211yescharacteristic
237#2363C2211yescharacteristic
238#2363C2212yes—
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2363C2212yescomplemented
242#2363C2211yescharacteristic, complemented
243#2363C2211yescharacteristic, complemented
244#2363C2212yescomplemented
245#2361C2212yes—
246#2358C2214yes—
247#2357C2212yescomplemented
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic
250#2354C2212yescomplemented
251#2354C2211yescharacteristic, complemented
252#2354C2212yescomplemented
253D4×C4⋊C4C2211yescharacteristic
254#2347C2212yescomplemented
255#2346C2212yescomplemented
256#2346C2212yescomplemented
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259#2326C2212yescomplemented
260#2324C2212yes—
261#2324C2212yescomplemented
262#2321C2214yes—
263#2321C2214yescomplemented
264#2311C2212yescomplemented
265#2309C2212yes—
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×#127C2211yescharacteristic
268C4×#127C2211yescharacteristic
269C4×#125C2212yescomplemented
270C4×#125C2211yescharacteristic, complemented
271C4×#126C2214yescomplemented
272C4×#124C2214yescomplemented
273C4×#123C2212yescomplemented
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2212yescomplemented
278C4×#121C2211yescharacteristic, complemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281#2297C2212yescomplemented
282#2297C2212yescomplemented
283#2293C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2212yescomplemented
286#2293C2211yescharacteristic, complemented
287#2293C2212yescomplemented
288#2293C2214yescomplemented
289C2×#390C2212yes—
290#2285C2212yescomplemented
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic, complemented
293C42×D4C2211yescharacteristic, complemented
294C42×D4C2212yescomplemented
295C4×#117C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C4×#117C2212yescomplemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302#555—28no—
303#555—48no—
304#555—48no—
305D42—28no—
306#544—48no—
307#542—48no—
308#540—48no—
309#538—416no—
310#535—48no—
311#532—28no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2311yescharacteristic
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387#518—48no—
388C2×C4×Q8C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2314yes—
427C2×#117C2314yes—
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C22×C4⋊C4C2312yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2314yes—
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436C22×C42C2312yes—
437C22×C42C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2312yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2312yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
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#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#391C2314yes—
535#391C2312yes—
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#390C2314yes—
543#390C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2311yescharacteristic
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2314yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#388C2314yes—
621#388C2314yes—
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#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#383C2314yes—
721#383C2314yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2314yes—
726#382C2314yes—
727#381C2312yes—
728#381C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#379C2314yes—
748#379C2314yes—
749#379C2314yes—
750#379C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812#376C2311yescharacteristic
813#376C2314yes—
814#376C2314yes—
815#376C2312yes—
816#376C2311yescharacteristic
817C43C2314yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×Q8C2414yes—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—44no—
879C4⋊Q8—48no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—44no—
884#127—24no—
885#127—24no—
886#127—42no—
887#127—44no—
888#127—48no—
889#127—44no—
890#126—216no—
891#126—48no—
892#125—28no—
893#125—24no—
894#125—48no—
895#124—28no—
896#124—216no—
897#124—44no—
898#124—48no—
899#124—48no—
900#124—48no—
901#124—44no—
902#124—48no—
903#124—48no—
904#124—48no—
905#124—48no—
906#124—48no—
907#123—28no—
908#123—48no—
909#123—48no—
910#123—48no—
911#123—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—44no—
917#121—24no—
918#121—28no—
919#121—28no—
920#121—28no—
921#121—24no—
922#121—28no—
923#121—24no—
924#121—28no—
925#121—28no—
926#121—48no—
927#121—44no—
928#121—48no—
929#121—48no—
930#121—44no—
931#121—48no—
932#121—48no—
933#121—44no—
934#121—42no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—48no—
939#121—48no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#120—216no—
946#120—48no—
947#120—48no—
948#120—48no—
949#120—48no—
950#120—48no—
951C4×Q8—44no—
952C4×D4—28no—
953C4×D4—24no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—48no—
962C4×D4—44no—
963C4×D4—42no—
964C4×D4—44no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—48no—
973C4×D4—48no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—48no—
978C4×D4#4118yes—
979#117—28no—
980#117—28no—
981#117—28no—
982#117—28no—
983#117—24no—
984#117—28no—
985#117—24no—
986#117—44no—
987#117—44no—
988#117—44no—
989#117—48no—
990#117—48no—
991#117—42no—
992#117—42no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4—48no—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C42—24no—
1127C2×C42—44no—
1128C2×C42—44no—
1129C2×C42—44no—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2414yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166#95C2412yes—
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2414yes—
1172#95C2411yescharacteristic
1173#95C2414yes—
1174#95C2411yescharacteristic
1175#95C2414yes—
1176#95C2412yes—
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2414yes—
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218C24—28no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24—44no—
1225C24C2512yes—
1226C24C2514yes—
1227C24C2512yes—
1228C24C2512yes—
1229C24C2511yescharacteristic
1230C24C2512yes—
1231#41—816no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8—44no—
1239C2×Q8—44no—
1240C2×Q8—44no—
1241C2×Q8—44no—
1242C2×Q8—44no—
1243C2×Q8—44no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—432no—
1319C2×D4—816no—
1320C2×D4C2×#4114yes—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—28no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—42no—
1349C22×C4—41no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4C2×#4118yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2514yes—
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2512yes—
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2514yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—28no—
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—44no—
1425C4⋊C4—41no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4C2×#4114yes—
1446C4⋊C4H(5,𝔽2)14yes—
1447C4⋊C4H(5,𝔽2)14yes—
1448C4⋊C4H(5,𝔽2)14yes—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—24no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—22no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—41no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4C2×#4118yes—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—28no—
1531C42—28no—
1532C42—24no—
1533C42—28no—
1534C42—22no—
1535C42—22no—
1536C42—28no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—22no—
1541C42—24no—
1542C42—22no—
1543C42—24no—
1544C42—28no—
1545C42—22no—
1546C42—24no—
1547C42—22no—
1548C42—22no—
1549C42—24no—
1550C42—22no—
1551C42—22no—
1552C42—42no—
1553C42—42no—
1554C42—42no—
1555C42—42no—
1556C42—42no—
1557C42—42no—
1558C42—41no—
1559C42—42no—
1560C42—42no—
1561C42—44no—
1562C42C2×#4114yes—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—24no—
1573C23—21no—
1574C23—24no—
1575C23—21no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—21no—
1590C23—24no—
1591C23—21no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—24no—
1597C23—22no—
1598C23—22no—
1599C23—24no—
1600C23—22no—
1601C23—21no—
1602C23—22no—
1603C23—22no—
1604C23—416no—
1605C23—88no—
1606C23—88no—
1607C23—164no—
1608C23—164no—
1609C23—164no—
1610C23—164no—
1611C23C22×#4114yes—
1612C23C2611yescharacteristic
1613Q8—84no—
1614Q8—84no—
1615Q8—164no—
1616Q8—164no—
1617D4—28no—
1618D4—48no—
1619D4—416no—
1620D4—44no—
1621D4—48no—
1622D4—44no—
1623D4—48no—
1624D4—44no—
1625D4—84no—
1626D4—84no—
1627D4—88no—
1628D4—84no—
1629D4—84no—
1630D4—88no—
1631D4—84no—
1632D4—88no—
1633D4—84no—
1634D4—84no—
1635D4—84no—
1636D4—164no—
1637D4—164no—
1638D4—164no—
1639D4—164no—
1640D4—164no—
1641D4—164no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—216no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—48no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—44no—
1723C2×C4—84no—
1724C2×C4—88no—
1725C2×C4—84no—
1726C2×C4—84no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—164no—
1730C2×C4—164no—
1731C2×C4C22×#4114yes—
1732C2×C4C22×#4112yes—
1733C2×C4C22×#4112yes—
1734C2×C4C22×#4112yes—
1735C2×C4C2×H(5,𝔽2)14yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)14yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4#58512yes—
1743C2×C4#58512yes—
1744C2×C4#58512yes—
1745C22—24no—
1746C22—24no—
1747C22—24no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—41no—
1762C22—44no—
1763C22—42no—
1764C22—42no—
1765C22—44no—
1766C22—41no—
1767C22—41no—
1768C22—42no—
1769C22—42no—
1770C22—44no—
1771C22—42no—
1772C22—44no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—44no—
1781C22—42no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—44no—
1786C22—42no—
1787C22—1616no—
1788C22C23×#4111yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C22C22×H(5,𝔽2)11yescharacteristic
1791C22C22×H(5,𝔽2)11yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22C2×#58511yescharacteristic
1794C22C2×#58511yescharacteristic
1795C4—22no—
1796C4—24no—
1797C4—22no—
1798C4—22no—
1799C4—24no—
1800C4—24no—
1801C4—22no—
1802C4—22no—
1803C4—41no—
1804C4—42no—
1805C4—41no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—41no—
1813C4—44no—
1814C4—42no—
1815C4—42no—
1816C4—44no—
1817C4—41no—
1818C4—44no—
1819C4—41no—
1820C4—42no—
1821C4—42no—
1822C4#346014yes—
1823C4#351414yes—
1824C2—44no—
1825C2—82no—
1826C2—82no—
1827C2—81no—
1828C2—84no—
1829C2—82no—
1830C2C2×#346011yescharacteristic
1831C2C2×#351411yescharacteristic
1832C2#6280011yescharacteristic
1833C2#6301811yescharacteristic
1834C2#6302411yescharacteristic
1835C2#6302411yescharacteristic
1836C2#6304011yescharacteristic
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. #42736C2semidirect
2. #42731C2semidirect
3. #41815C2semidirect
4. #41256C2semidirect
5. #40173C2semidirect
6. #39469C2semidirect
7. #39443C2semidirect
8. #39434C2semidirect
9. #39426C2semidirect
10. #39401C2semidirect
11. #39369C2semidirect
12. #39342C2semidirect
13. #38953C2semidirect
14. #38862C2semidirect
15. #38206C2semidirect
16. #37969C2semidirect
17. #37636C2semidirect
18. #37513C2semidirect
19. #36463C2semidirect
20. #36461C2semidirect
21. #36459C2semidirect
22. #36273C2semidirect
23. #36273C2semidirect
24. #36187C2semidirect
25. #36022C2semidirect
26. #36004C2semidirect
27. #35277C2semidirect
28. #35264C2semidirect
29. #35171C2semidirect
30. #35007C2semidirect
31. #34970C2semidirect
32. #34797C2semidirect
33. #34310C2semidirect
34. C4×#555C2semidirect
35. #34155C2semidirect
37. C2×#555C22semidirect
38. C2×#555C22semidirect
40. C2×#544C22semidirect
41. C2×#542C22semidirect
42. C2×#540C22semidirect
43. C2×#538C22semidirect
47. #2868C22semidirect
48. #2861C22semidirect
51. #2858C22semidirect
52. #2858C22semidirect
53. #2857C22semidirect
56. #2856C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
59. #2832C22semidirect
60. #2832C22semidirect
61. #2828C22semidirect
62. #2763C22semidirect
63. #2753C22semidirect
64. #2753C22semidirect
65. #2736C22semidirect
66. #2723C22semidirect
67. #2720C22semidirect
68. #2712C22semidirect
69. #2711C22semidirect
70. #2710C22semidirect
71. #2706C22semidirect
72. #2696C22semidirect
73. #2696C22semidirect
74. #2685C22semidirect
75. #2678C22semidirect
76. #2677C22semidirect
77. #2676C22semidirect
78. #2676C22semidirect
79. #2674C22semidirect
80. #2673C22semidirect
85. #2668C22semidirect
86. #2662C22semidirect
87. #2661C22semidirect
88. #2661C22semidirect
89. #2641C22semidirect
90. #2640C22semidirect
91. #2640C22semidirect
92. #2635C22semidirect
93. #2635C22semidirect
94. #2632C22semidirect
95. #2631C22semidirect
96. #2631C22semidirect
97. #2628C22semidirect
98. #2628C22semidirect
99. #2628C22semidirect
101. #2624C22semidirect
102. #2620C22semidirect
105. #2615C22semidirect
106. #2610C22semidirect
107. #2610C22semidirect
108. #2610C22semidirect
109. #2598C22semidirect
110. #2572C22semidirect
112. #2563C22semidirect
113. #2563C22semidirect
114. #2560C22semidirect
115. #2558C22semidirect
116. #2557C22semidirect
117. #2557C22semidirect
118. #2555C22semidirect
119. #2555C22semidirect
120. #2555C22semidirect
121. #2554C22semidirect
122. #2552C22semidirect
123. #2551C22semidirect
124. #2551C22semidirect
129. #2540C22semidirect
130. #2539C22semidirect
132. #2537C22semidirect
133. #2537C22semidirect
135. #2532C22semidirect
136. #2532C22semidirect
137. #2531C22semidirect
138. #2531C22semidirect
139. #2529C22semidirect
140. #2526C22semidirect
141. #2526C22semidirect
142. #2518C22semidirect
144. #2513C22semidirect
145. #2512C22semidirect
146. #2512C22semidirect
147. #2507C22semidirect
148. #2506C22semidirect
150. #2500C22semidirect
151. #2497C22semidirect
152. #2496C22semidirect
153. #2495C22semidirect
154. #2495C22semidirect
155. #2495C22semidirect
159. #2491C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
165. #2491C22semidirect
166. #2491C22semidirect
169. #2490C22semidirect
170. #2490C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
173. #2482C22semidirect
174. #2476C22semidirect
175. #2472C22semidirect
176. #2472C22semidirect
177. #2472C22semidirect
178. #2472C22semidirect
179. #2472C22semidirect
180. #2472C22semidirect
181. #2471C22semidirect
182. #2467C22semidirect
183. #2464C22semidirect
184. #2461C22semidirect
185. #2461C22semidirect
186. #2459C22semidirect
187. #2454C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
192. #2445C22semidirect
193. #2441C22semidirect
194. #2440C22semidirect
195. #2439C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2424C22semidirect
205. #2424C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
208. #2422C22semidirect
209. #2420C22semidirect
210. #2420C22semidirect
211. #2416C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
221. #2395C22semidirect
222. #2395C22semidirect
223. #2392C22semidirect
224. #2392C22semidirect
225. #2372C22semidirect
226. #2372C22semidirect
227. #2372C22semidirect
228. #2369C22semidirect
229. #2369C22semidirect
230. #2369C22semidirect
234. #2366C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
247. #2357C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2354C22semidirect
254. #2347C22semidirect
255. #2346C22semidirect
256. #2346C22semidirect
259. #2326C22semidirect
261. #2324C22semidirect
263. #2321C22semidirect
264. #2311C22semidirect
266. C4×C4⋊Q8C22semidirect
269. C4×#125C22semidirect
270. C4×#125C22semidirect
271. C4×#126C22semidirect
272. C4×#124C22semidirect
273. C4×#123C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
290. #2285C22semidirect
292. C42×D4C22semidirect
293. C42×D4C22semidirect
294. C42×D4C22semidirect
295. C4×#117C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#427362
#427312
#418152
#412562
#401732
#394692
#394432
#394342
#394262
#394012
#393692
#393422
#389532
#388622
#382062
#379692
#376362
#375132
#364632
#364612
#364592
#362732
#361872
#360222
#360042
#352772
#352642
#351712
#350072
#349702
#347972
#343102
C4×#5552
#341552