Finite Group Databasebeta

← #7985066

Subgroups — #7985066

Order 512.

5927 conjugacy classes of subgroups.

The subgroup lattice has 1883 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#59654C211yesmaximal, characteristic, complemented
3#59652C211yesmaximal, characteristic, complemented
4#59224C212yesmaximal, complemented
5#59131C212yesmaximal, complemented
6#48680C214yesmaximal, complemented
7#48114C214yesmaximal, complemented
8#45701C212yesmaximal, complemented
9#45663C212yesmaximal, complemented
10#45019C212yesmaximal, complemented
11#44936C212yesmaximal, complemented
12#43417C214yesmaximal, complemented
13#42532C212yesmaximal, complemented
14#42515C212yesmaximal, complemented
15#41260C214yesmaximal, complemented
16#40053C212yesmaximal, complemented
17#39960C212yesmaximal, complemented
18#39906C212yesmaximal, complemented
19#39618C211yesmaximal, characteristic, complemented
20#38953C211yesmaximal, characteristic, complemented
21#38949C212yesmaximal, complemented
22#37954C212yesmaximal, complemented
23#36609C211yesmaximal, characteristic, complemented
24#36415C211yesmaximal, characteristic, complemented
25#36360C212yesmaximal, complemented
26#36289C211yesmaximal, characteristic, complemented
27#36260C211yesmaximal, characteristic, complemented
28D4×#124C211yesmaximal, characteristic, complemented
29#35197C211yesmaximal, characteristic, complemented
30#35196C211yesmaximal, characteristic, complemented
31#35129C212yesmaximal, complemented
32#34943C211yesmaximal, characteristic, complemented
33#34918C211yesmaximal, characteristic, complemented
34#34471C212yesmaximal, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic, complemented
37C2×#554C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#548C2212yescomplemented
41C2×#547C2211yescharacteristic, complemented
42C2×#546C2212yescomplemented
43C2×#546C2212yescomplemented
44C2×D42C2212yes—
45C2×D42C2211yescharacteristic
46C2×D42C2212yes—
47C2×D42C2211yescharacteristic
48C22×#124C2212yescomplemented
49C2×C4×#41C2212yescomplemented
50#2862C2211yescharacteristic, complemented
51#2858C2211yescharacteristic
52#2858C2211yescharacteristic
53#2856C2212yescomplemented
54#2855C2212yescomplemented
55#2854C2212yescomplemented
56#2850C2212yescomplemented
57#2850C2212yescomplemented
58#2850C2212yescomplemented
59#2850C2212yescomplemented
60#2850C2212yescomplemented
61#2837C2214yescomplemented
62#2824C2214yescomplemented
63#2797C2214yescomplemented
64#2796C2214yescomplemented
65#2756C2214yescomplemented
66#2756C2214yescomplemented
67#2756C2214yescomplemented
68#2742C2214yescomplemented
69#2740C2214yescomplemented
70#2738C2214yescomplemented
71#2737C2214yescomplemented
72#2737C2214yescomplemented
73#2735C2214yescomplemented
74#2730C2214yescomplemented
75#2703C2214yescomplemented
76#2701C2214yescomplemented
77#2699C2214yescomplemented
78#2697C2214yescomplemented
79#2697C2214yescomplemented
80#2692C2214yescomplemented
81#2692C2214yescomplemented
82#2688C2214yescomplemented
83#2688C2214yescomplemented
84#2688C2214yescomplemented
85#2686C2214yescomplemented
86#2684C2214yescomplemented
87#2681C2214yescomplemented
88#2679C2214yes—
89#2678C2214yescomplemented
90#2672C2214yescomplemented
91#2670C2214yescomplemented
92#2670C2214yescomplemented
93#2670C2214yescomplemented
94#2668C2214yescomplemented
95#2668C2214yescomplemented
96#2663C2214yescomplemented
97#2660C2212yescomplemented
98#2649C2214yescomplemented
99#2648C2214yescomplemented
100#2648C2214yescomplemented
101#2632C2214yescomplemented
102#2631C2214yescomplemented
103#2619C2212yescomplemented
104#2617C2214yescomplemented
105#2610C2214yescomplemented
106#2610C2214yescomplemented
107#2602C2214yescomplemented
108#2597C2212yescomplemented
109#2595C2212yescomplemented
110#2592C2212yescomplemented
111#2592C2212yescomplemented
112#2592C2211yescharacteristic, complemented
113#2580C2212yescomplemented
114#2580C2211yescharacteristic, complemented
115#2572C2214yescomplemented
116#2571C2211yescharacteristic, complemented
117#2570C2211yescharacteristic, complemented
118#2566C2212yescomplemented
119#2563C2212yescomplemented
120#2563C2211yescharacteristic, complemented
121#2563C2211yescharacteristic, complemented
122#2561C2214yescomplemented
123#2557C2214yescomplemented
124#2557C2214yescomplemented
125#2555C2214yescomplemented
126#2548C2211yescharacteristic
127#2547C2211yescharacteristic, complemented
128#2544C2211yescharacteristic
129#2542C2211yescharacteristic, complemented
130#2541C2211yescharacteristic
131#2540C2212yescomplemented
132#2540C2212yescomplemented
133#2540C2212yescomplemented
134#2539C2214yescomplemented
135#2539C2214yescomplemented
136#2538C2211yescharacteristic, complemented
137#2537C2211yescharacteristic
138#2537C2211yescharacteristic
139#2537C2212yes—
140#2537C2212yes—
141#2536C2212yescomplemented
142#2535C2212yescomplemented
143#2535C2212yescomplemented
144#2531C2214yescomplemented
145#2531C2214yescomplemented
146#2516C2214yescomplemented
147#2516C2212yescomplemented
148#2513C2212yescomplemented
149#2513C2212yescomplemented
150#2513C2212yescomplemented
151#2513C2211yescharacteristic, complemented
152#2511C2211yescharacteristic, complemented
153#2504C2212yescomplemented
154#2501C2212yescomplemented
155#2500C2212yescomplemented
156#2499C2212yescomplemented
157#2497C2212yescomplemented
158#2495C2212yescomplemented
159#2495C2212yescomplemented
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2491C2212yescomplemented
163#2490C2212yescomplemented
164#2490C2212yescomplemented
165#2490C2212yescomplemented
166#2482C2214yescomplemented
167#2476C2214yescomplemented
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2472C2214yescomplemented
172#2472C2214yescomplemented
173#2471C2214yescomplemented
174#2461C2214yescomplemented
175#2458C2214yescomplemented
176#2458C2212yescomplemented
177#2457C2214yescomplemented
178#2456C2214yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2447C2212yescomplemented
182#2447C2212yescomplemented
183#2447C2211yescharacteristic, complemented
184#2445C2211yescharacteristic
185#2445C2212yescomplemented
186#2441C2212yescomplemented
187#2440C2212yescomplemented
188#2436C2212yescomplemented
189#2435C2212yescomplemented
190#2435C2212yescomplemented
191#2433C2212yescomplemented
192#2433C2212yescomplemented
193#2431C2212yes—
194#2428C2212yescomplemented
195#2428C2212yescomplemented
196#2427C2212yescomplemented
197#2426C2214yescomplemented
198#2426C2212yescomplemented
199#2424C2214yescomplemented
200#2421C2212yescomplemented
201#2420C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2420C2212yescomplemented
205#2418C2214yescomplemented
206#2418C2214yescomplemented
207#2417C2212yescomplemented
208#2417C2212yescomplemented
209#2416C2212yescomplemented
210#2415C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2412C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2409C2212yescomplemented
217#2409C2212yescomplemented
218#2409C2212yescomplemented
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2408C2212yes—
223#2408C2214yes—
224#2408C2212yescomplemented
225#2408C2212yescomplemented
226#2407C2212yescomplemented
227#2404C2214yescomplemented
228#2404C2214yescomplemented
229#2398C2212yescomplemented
230#2398C2214yescomplemented
231#2395C2212yescomplemented
232#2377C2214yescomplemented
233#2375C2214yescomplemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2366C2211yescharacteristic
237#2366C2211yescharacteristic, complemented
238#2366C2211yescharacteristic, complemented
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2361C2212yescomplemented
244#2358C2214yescomplemented
245#2357C2212yescomplemented
246#2354C2211yescharacteristic, complemented
247#2354C2211yescharacteristic, complemented
248#2354C2211yescharacteristic, complemented
249#2352C2212yescomplemented
250#2352C2212yescomplemented
251#2352C2212yescomplemented
252Q8×C4⋊C4C2211yescharacteristic, complemented
253#2342C2214yescomplemented
254#2341C2212yescomplemented
255D4×C22⋊C4C2212yescomplemented
256D4×C22⋊C4C2212yescomplemented
257D4×C22⋊C4C2212yescomplemented
258D4×C22⋊C4C2212yescomplemented
259D4×C22⋊C4C2214yescomplemented
260#2333C2214yescomplemented
261#2328C2212yes—
262#2328C2212yescomplemented
263#2324C2212yescomplemented
264#2321C2214yescomplemented
265#2321C2214yescomplemented
266#2321C2214yescomplemented
267#2319C2212yescomplemented
268#2314C2212yescomplemented
269#2309C2212yescomplemented
270#2308C2214yescomplemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×C4⋊Q8C2211yescharacteristic, complemented
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic, complemented
278C4×#124C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic, complemented
280C4×#123C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286#2297C2212yescomplemented
287#2295C2211yescharacteristic, complemented
288#2293C2211yescharacteristic, complemented
289C2×#390C2212yescomplemented
290C2×#390C2212yescomplemented
291#2290C2212yescomplemented
292#2283C2212yescomplemented
293#2283C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306C23×D4C2312yes—
307#555—44no—
308#554—44no—
309#550—28no—
310D4×Q8—44no—
311#548—48no—
312#547—44no—
313#546—48no—
314#546—48no—
315D42—216no—
316D42—44no—
317D42—44no—
318D42—48no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2311yescharacteristic
328C2×#125C2312yes—
329C2×#124—48no—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C4×#41—48no—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2314yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2314yes—
437C22×C22⋊C4C2314yes—
438C22×C22⋊C4C2314yes—
439C22×C22⋊C4C2314yes—
440C22×C22⋊C4C2314yes—
441C22×C42C2312yes—
442C22×C42C2312yes—
443C22×C42C2312yes—
444C22×C42C2312yes—
445#400C2312yes—
446#400C2314yes—
447#400C2312yes—
448#400C2314yes—
449#400C2312yes—
450#400C2314yes—
451#399C2314yes—
452#399C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2312yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2314yes—
602#390C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#383C2314yes—
731#383C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#381C2312yes—
741#381C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819#376C2312yes—
820#376C2314yes—
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C25C2414yes—
825C25C2414yes—
826C2×#41—28no—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×D4—28no—
841C22×D4—28no—
842C22×D4—216no—
843C22×D4—28no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—48no—
854C22×D4—84no—
855C22×D4C2411yescharacteristic
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2411yescharacteristic
865C22×D4C2411yescharacteristic
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2412yes—
898C4⋊Q8—24no—
899C4⋊Q8—24no—
900C4⋊Q8—44no—
901#127—24no—
902#127—24no—
903#127—24no—
904#127—24no—
905#127—44no—
906#127#4118yescomplemented
907#125—44no—
908#124—24no—
909#124—24no—
910#124—28no—
911#124—48no—
912#124—48no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—44no—
917#124—48no—
918#124—48no—
919#124—82no—
920#123—44no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—84no—
925C22⋊Q8—48no—
926C22⋊Q8—48no—
927C22⋊Q8—48no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934#121—28no—
935#121—28no—
936#121—216no—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—28no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—48no—
955#121—84no—
956#120—216no—
957#120—216no—
958#120—48no—
959#120—48no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—48no—
964#120—48no—
965#120—84no—
966C4×Q8—24no—
967C4×Q8—24no—
968C4×Q8—24no—
969C4×Q8—42no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—82no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—24no—
979C4×D4—28no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—24no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—48no—
1002C4×D4—82no—
1003C4×D4—84no—
1004#117—44no—
1005#117—44no—
1006#117—44no—
1007#117—44no—
1008#117—44no—
1009#117—44no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C22⋊C4—48no—
1062C2×C22⋊C4—48no—
1063C2×C22⋊C4—48no—
1064C2×C22⋊C4—48no—
1065C2×C22⋊C4—48no—
1066C2×C22⋊C4—84no—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C42—28no—
1147C2×C42—44no—
1148C2×C42—44no—
1149C2×C42—44no—
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2414yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2411yescharacteristic
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2414yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235C24—28no—
1236C24—28no—
1237C24—28no—
1238C24—44no—
1239C24—44no—
1240C24—44no—
1241C24—44no—
1242C24—44no—
1243C24—44no—
1244C24—44no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24—44no—
1249C24C2512yes—
1250C24C2514yes—
1251C24C2512yes—
1252C24C2512yes—
1253C24C2512yes—
1254C24C2512yes—
1255#41—432no—
1256#41—816no—
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—22no—
1262C2×Q8—24no—
1263C2×Q8—24no—
1264C2×Q8—22no—
1265C2×Q8—24no—
1266C2×Q8—22no—
1267C2×Q8—42no—
1268C2×Q8—44no—
1269C2×Q8—44no—
1270C2×Q8—44no—
1271C2×Q8—42no—
1272C2×Q8—816no—
1273C2×D4—28no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—28no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—816no—
1347C2×D4—816no—
1348C2×D4—816no—
1349C2×D4—816no—
1350C2×D4—832no—
1351C2×D4C2×#4114yes—
1352C2×D4C2×#4114yes—
1353C2×D4C2×#4118yes—
1354C2×D4C2×#4118yes—
1355C2×D4H(5,𝔽2)14yes—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—28no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—42no—
1401C22×C4—44no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2514yes—
1415C22×C4C2514yes—
1416C22×C4C2512yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2514yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—28no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C42—22no—
1565C42—22no—
1566C42—24no—
1567C42—24no—
1568C42—24no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—24no—
1574C42—22no—
1575C42—22no—
1576C42—24no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—42no—
1581C42—42no—
1582C42—42no—
1583C42—42no—
1584C42—42no—
1585C42—42no—
1586C42—44no—
1587C42—44no—
1588C42—41no—
1589C42—44no—
1590C42—41no—
1591C42—41no—
1592C42—41no—
1593C42—41no—
1594C42C2×#4114yes—
1595C42H(5,𝔽2)14yes—
1596C42H(5,𝔽2)14yes—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—24no—
1617C23—22no—
1618C23—22no—
1619C23—24no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—24no—
1625C23—22no—
1626C23—24no—
1627C23—24no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—24no—
1633C23—24no—
1634C23—22no—
1635C23—22no—
1636C23—416no—
1637C23—88no—
1638C23—88no—
1639C23—88no—
1640C23—88no—
1641C23—88no—
1642C23—88no—
1643C23—88no—
1644C23—88no—
1645C23—88no—
1646C23—164no—
1647C23—164no—
1648C23—164no—
1649C23—164no—
1650C23C22×#4114yes—
1651C23C22×#4114yes—
1652C23C2×H(5,𝔽2)14yes—
1653C23C2611yescharacteristic
1654Q8—28no—
1655Q8—44no—
1656Q8—48no—
1657Q8—84no—
1658Q8—88no—
1659D4—28no—
1660D4—28no—
1661D4—28no—
1662D4—48no—
1663D4—48no—
1664D4—48no—
1665D4—48no—
1666D4—48no—
1667D4—416no—
1668D4—44no—
1669D4—48no—
1670D4—44no—
1671D4—48no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—84no—
1676D4—88no—
1677D4—88no—
1678D4—88no—
1679D4—88no—
1680D4—88no—
1681D4—88no—
1682D4—164no—
1683D4—164no—
1684D4—164no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—48no—
1764C2×C4—48no—
1765C2×C4—48no—
1766C2×C4—48no—
1767C2×C4—48no—
1768C2×C4—84no—
1769C2×C4—84no—
1770C2×C4—88no—
1771C2×C4—84no—
1772C2×C4—88no—
1773C2×C4—84no—
1774C2×C4—84no—
1775C2×C4—88no—
1776C2×C4—164no—
1777C2×C4C22×#4112yes—
1778C2×C4C22×#4112yes—
1779C2×C4C22×#4112yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×H(5,𝔽2)12yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4C2×H(5,𝔽2)12yes—
1787C2×C4#58512yes—
1788C2×C4#58512yes—
1789C22—24no—
1790C22—24no—
1791C22—24no—
1792C22—24no—
1793C22—24no—
1794C22—24no—
1795C22—24no—
1796C22—24no—
1797C22—24no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—44no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—44no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—44no—
1819C22—42no—
1820C22—42no—
1821C22—44no—
1822C22—42no—
1823C22—44no—
1824C22—42no—
1825C22—42no—
1826C22—44no—
1827C22—42no—
1828C22—44no—
1829C22—42no—
1830C22—42no—
1831C22—1616no—
1832C22—1616no—
1833C22C23×#4111yescharacteristic
1834C22C22×H(5,𝔽2)11yescharacteristic
1835C22C22×H(5,𝔽2)11yescharacteristic
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C2×#58511yescharacteristic
1838C22C2×#58511yescharacteristic
1839C22H(7,𝔽2)11yescharacteristic
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—22no—
1846C4—44no—
1847C4—41no—
1848C4—41no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—44no—
1853C4—42no—
1854C4—41no—
1855C4—41no—
1856C4—42no—
1857C4—41no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—41no—
1862C4—41no—
1863C4—42no—
1864C4—42no—
1865C4—42no—
1866C4—44no—
1867C4#351414yes—
1868C4#354314yes—
1869C2—44no—
1870C2—44no—
1871C2—44no—
1872C2—82no—
1873C2—84no—
1874C2—82no—
1875C2C2×#354311yescharacteristic
1876C2#6277311yescharacteristic
1877C2C2×#351411yescharacteristic
1878C2#6293011yescharacteristic
1879C2#6296111yescharacteristic
1880C2#6298311yescharacteristic
1881C2#6302411yescharacteristic
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. #59816C2semidirect
2. #59654C2semidirect
3. #59652C2semidirect
4. #59224C2semidirect
5. #59131C2semidirect
6. #48680C2semidirect
7. #48114C2semidirect
8. #45701C2semidirect
9. #45663C2semidirect
10. #45019C2semidirect
11. #44936C2semidirect
12. #43417C2semidirect
13. #42532C2semidirect
14. #42515C2semidirect
15. #41260C2semidirect
16. #40053C2semidirect
17. #39960C2semidirect
18. #39906C2semidirect
19. #39618C2semidirect
20. #38953C2semidirect
21. #38949C2semidirect
22. #37954C2semidirect
23. #36609C2semidirect
24. #36415C2semidirect
25. #36360C2semidirect
26. #36289C2semidirect
27. #36260C2semidirect
28. D4×#124C2semidirect
29. #35197C2semidirect
30. #35196C2semidirect
31. #35129C2semidirect
32. #34943C2semidirect
33. #34918C2semidirect
34. #34471C2semidirect
35. C4×#550C2semidirect
36. C2×#555C22semidirect
37. C2×#554C22semidirect
39. C2×D4×Q8C22semidirect
40. C2×#548C22semidirect
41. C2×#547C22semidirect
42. C2×#546C22semidirect
43. C2×#546C22semidirect
48. C22×#124C22semidirect
49. C2×C4×#41C22semidirect
50. #2862C22semidirect
53. #2856C22semidirect
54. #2855C22semidirect
55. #2854C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
58. #2850C22semidirect
59. #2850C22semidirect
60. #2850C22semidirect
61. #2837C22semidirect
62. #2824C22semidirect
63. #2797C22semidirect
64. #2796C22semidirect
65. #2756C22semidirect
66. #2756C22semidirect
67. #2756C22semidirect
68. #2742C22semidirect
69. #2740C22semidirect
70. #2738C22semidirect
71. #2737C22semidirect
72. #2737C22semidirect
73. #2735C22semidirect
74. #2730C22semidirect
75. #2703C22semidirect
76. #2701C22semidirect
77. #2699C22semidirect
78. #2697C22semidirect
79. #2697C22semidirect
80. #2692C22semidirect
81. #2692C22semidirect
82. #2688C22semidirect
83. #2688C22semidirect
84. #2688C22semidirect
85. #2686C22semidirect
86. #2684C22semidirect
87. #2681C22semidirect
89. #2678C22semidirect
90. #2672C22semidirect
91. #2670C22semidirect
92. #2670C22semidirect
93. #2670C22semidirect
94. #2668C22semidirect
95. #2668C22semidirect
96. #2663C22semidirect
97. #2660C22semidirect
98. #2649C22semidirect
99. #2648C22semidirect
100. #2648C22semidirect
101. #2632C22semidirect
102. #2631C22semidirect
103. #2619C22semidirect
104. #2617C22semidirect
105. #2610C22semidirect
106. #2610C22semidirect
107. #2602C22semidirect
108. #2597C22semidirect
109. #2595C22semidirect
110. #2592C22semidirect
111. #2592C22semidirect
112. #2592C22semidirect
113. #2580C22semidirect
114. #2580C22semidirect
115. #2572C22semidirect
116. #2571C22semidirect
117. #2570C22semidirect
118. #2566C22semidirect
119. #2563C22semidirect
120. #2563C22semidirect
121. #2563C22semidirect
122. #2561C22semidirect
123. #2557C22semidirect
124. #2557C22semidirect
125. #2555C22semidirect
127. #2547C22semidirect
129. #2542C22semidirect
131. #2540C22semidirect
132. #2540C22semidirect
133. #2540C22semidirect
134. #2539C22semidirect
135. #2539C22semidirect
136. #2538C22semidirect
141. #2536C22semidirect
142. #2535C22semidirect
143. #2535C22semidirect
144. #2531C22semidirect
145. #2531C22semidirect
146. #2516C22semidirect
147. #2516C22semidirect
148. #2513C22semidirect
149. #2513C22semidirect
150. #2513C22semidirect
151. #2513C22semidirect
152. #2511C22semidirect
153. #2504C22semidirect
154. #2501C22semidirect
155. #2500C22semidirect
156. #2499C22semidirect
157. #2497C22semidirect
158. #2495C22semidirect
159. #2495C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
165. #2490C22semidirect
166. #2482C22semidirect
167. #2476C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2472C22semidirect
172. #2472C22semidirect
173. #2471C22semidirect
174. #2461C22semidirect
175. #2458C22semidirect
176. #2458C22semidirect
177. #2457C22semidirect
178. #2456C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2447C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
185. #2445C22semidirect
186. #2441C22semidirect
187. #2440C22semidirect
188. #2436C22semidirect
189. #2435C22semidirect
190. #2435C22semidirect
191. #2433C22semidirect
192. #2433C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2427C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2424C22semidirect
200. #2421C22semidirect
201. #2420C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
205. #2418C22semidirect
206. #2418C22semidirect
207. #2417C22semidirect
208. #2417C22semidirect
209. #2416C22semidirect
210. #2415C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2412C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2409C22semidirect
217. #2409C22semidirect
218. #2409C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2404C22semidirect
228. #2404C22semidirect
229. #2398C22semidirect
230. #2398C22semidirect
231. #2395C22semidirect
232. #2377C22semidirect
233. #2375C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
237. #2366C22semidirect
238. #2366C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2361C22semidirect
244. #2358C22semidirect
245. #2357C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2354C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. #2352C22semidirect
252. Q8×C4⋊C4C22semidirect
253. #2342C22semidirect
254. #2341C22semidirect
255. D4×C22⋊C4C22semidirect
256. D4×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. D4×C22⋊C4C22semidirect
260. #2333C22semidirect
262. #2328C22semidirect
263. #2324C22semidirect
264. #2321C22semidirect
265. #2321C22semidirect
266. #2321C22semidirect
267. #2319C22semidirect
268. #2314C22semidirect
269. #2309C22semidirect
270. #2308C22semidirect
271. C4×C4⋊Q8C22semidirect
272. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
277. C4×#127C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×#123C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. #2297C22semidirect
287. #2295C22semidirect
288. #2293C22semidirect
289. C2×#390C22semidirect
290. C2×#390C22semidirect
291. #2290C22semidirect
292. #2283C22semidirect
293. #2283C22semidirect
294. C42×Q8C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
906. #127#41semidirect

Maximal subgroups

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

subgroupindex
#598162
#596542
#596522
#592242
#591312
#486802
#481142
#457012
#456632
#450192
#449362
#434172
#425322
#425152
#412602
#400532
#399602
#399062
#396182
#389532
#389492
#379542
#366092
#364152
#363602
#362892
#362602
D4×#1242
#351972
#351962
#351292
#349432
#349182
#344712
C4×#5502