Finite Group Databasebeta

← #7979672

Subgroups — #7979672

Order 512.

5387 conjugacy classes of subgroups.

The subgroup lattice has 1809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59903C212yesmaximal, complemented
2#59821C211yesmaximal, characteristic, complemented
3#59416C212yesmaximal, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59049C211yesmaximal, characteristic, complemented
6#50359C214yesmaximal, complemented
7#49477C214yesmaximal, complemented
8#46042C212yesmaximal, complemented
9#45701C212yesmaximal, complemented
10#44963C212yesmaximal, complemented
11#44961C212yesmaximal, complemented
12#43681C214yesmaximal, complemented
13#42976C212yesmaximal, complemented
14#42699C212yesmaximal, complemented
15#41505C214yesmaximal, complemented
16#40030C212yesmaximal, complemented
17#39960C212yesmaximal, complemented
18#39954C212yesmaximal, complemented
19#39771C211yesmaximal, characteristic, complemented
20#39727C211yesmaximal, characteristic, complemented
21#39024C212yesmaximal, complemented
22#38090C212yesmaximal, complemented
23#36576C211yesmaximal, characteristic, complemented
24#36460C211yesmaximal, characteristic, complemented
25#36419C211yesmaximal, characteristic, complemented
26#36399C212yesmaximal, complemented
27#36314C211yesmaximal, characteristic, complemented
28#36121C211yesmaximal, characteristic, complemented
29#35285C211yesmaximal, characteristic, complemented
30#35197C211yesmaximal, characteristic, complemented
31#35136C212yesmaximal, complemented
32#34955C211yesmaximal, characteristic, complemented
33#34691C211yesmaximal, characteristic, complemented
34#34478C212yesmaximal, complemented
35C4×#555C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#556C2211yescharacteristic, complemented
38C2×#555C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#548C2212yescomplemented
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×#127C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic, complemented
47#2864C2212yescomplemented
48#2860C2212yescomplemented
49#2858C2212yes—
50#2858C2211yescharacteristic
51#2858C2212yes—
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic
54#2856C2212yescomplemented
55#2854C2212yescomplemented
56#2850C2212yescomplemented
57#2850C2212yescomplemented
58#2837C2214yescomplemented
59#2829C2214yescomplemented
60#2796C2214yescomplemented
61#2761C2214yescomplemented
62#2756C2214yescomplemented
63#2756C2214yescomplemented
64#2756C2214yescomplemented
65#2751C2214yescomplemented
66#2735C2214yes—
67#2735C2214yes—
68#2730C2214yescomplemented
69#2727C2214yescomplemented
70#2725C2214yescomplemented
71#2723C2214yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2703C2214yescomplemented
75#2702C2214yes—
76#2702C2214yescomplemented
77#2700C2214yescomplemented
78#2697C2214yes—
79#2692C2214yescomplemented
80#2688C2214yescomplemented
81#2687C2214yescomplemented
82#2686C2214yescomplemented
83#2686C2214yescomplemented
84#2685C2214yes—
85#2685C2214yes—
86#2684C2214yes—
87#2676C2214yescomplemented
88#2676C2214yescomplemented
89#2676C2214yescomplemented
90#2673C2214yes—
91#2668C2214yes—
92#2668C2214yes—
93#2663C2214yescomplemented
94#2662C2214yescomplemented
95#2651C2214yescomplemented
96#2648C2214yescomplemented
97#2648C2214yescomplemented
98#2648C2214yescomplemented
99#2641C2214yes—
100#2640C2212yescomplemented
101#2620C2212yes—
102#2610C2214yescomplemented
103#2610C2214yescomplemented
104#2603C2214yescomplemented
105#2602C2214yescomplemented
106#2592C2212yescomplemented
107#2592C2212yescomplemented
108#2592C2212yescomplemented
109#2592C2212yescomplemented
110#2591C2214yescomplemented
111#2582C2212yescomplemented
112#2580C2212yescomplemented
113#2571C2211yescharacteristic, complemented
114#2568C2211yescharacteristic, complemented
115#2568C2211yescharacteristic, complemented
116#2561C2214yes—
117#2559C2214yescomplemented
118#2559C2214yescomplemented
119#2559C2214yescomplemented
120#2559C2214yescomplemented
121#2557C2214yescomplemented
122#2554C2214yescomplemented
123#2553C2214yescomplemented
124#2548C2211yescharacteristic
125#2548C2211yescharacteristic
126#2548C2212yes—
127#2548C2211yescharacteristic
128#2548C2211yescharacteristic
129#2548C2212yes—
130#2548C2211yescharacteristic
131#2548C2212yescomplemented
132#2548C2212yescomplemented
133#2544C2212yes—
134#2544C2212yescomplemented
135#2544C2212yescomplemented
136#2542C2212yescomplemented
137#2541C2212yes—
138#2541C2211yescharacteristic
139#2540C2212yescomplemented
140#2538C2211yescharacteristic, complemented
141#2538C2212yescomplemented
142#2538C2212yescomplemented
143#2536C2212yes—
144#2533C2214yescomplemented
145#2531C2214yescomplemented
146#2531C2214yescomplemented
147#2530C2214yes—
148#2526C2214yescomplemented
149#2526C2214yescomplemented
150#2521C2214yescomplemented
151#2518C2214yescomplemented
152#2513C2212yescomplemented
153#2513C2212yescomplemented
154#2512C2212yescomplemented
155#2512C2212yescomplemented
156#2512C2212yescomplemented
157#2511C2212yescomplemented
158#2504C2212yescomplemented
159#2500C2212yescomplemented
160#2500C2212yescomplemented
161#2499C2212yes—
162#2495C2212yes—
163#2480C2214yes—
164#2476C2214yescomplemented
165#2476C2214yescomplemented
166#2473C2212yescomplemented
167#2472C2214yes—
168#2472C2214yes—
169#2471C2214yescomplemented
170#2471C2214yescomplemented
171#2467C2214yescomplemented
172#2465C2212yes—
173#2462C2212yescomplemented
174#2457C2214yescomplemented
175#2451C2211yescharacteristic, complemented
176#2449C2212yes—
177#2448C2212yescomplemented
178#2448C2212yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2447C2212yescomplemented
182#2447C2212yescomplemented
183#2446C2211yescharacteristic, complemented
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2445C2212yescomplemented
188#2440C2211yescharacteristic, complemented
189#2439C2212yescomplemented
190#2436C2212yescomplemented
191#2435C2212yes—
192#2435C2212yes—
193#2435C2212yes—
194#2435C2214yes—
195#2434C2211yescharacteristic, complemented
196#2433C2212yes—
197#2432C2212yescomplemented
198#2431C2212yes—
199#2431C2212yes—
200#2431C2212yescomplemented
201#2429C2211yescharacteristic
202#2429C2212yescomplemented
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2427C2212yescomplemented
207#2427C2212yescomplemented
208#2426C2212yescomplemented
209#2426C2214yescomplemented
210#2426C2212yescomplemented
211#2423C2211yescharacteristic
212#2421C2212yes—
213#2420C2212yescomplemented
214#2420C2212yescomplemented
215#2417C2211yescharacteristic
216#2416C2214yescomplemented
217#2416C2212yescomplemented
218#2415C2212yes—
219#2415C2214yescomplemented
220#2414C2212yescomplemented
221#2410C2214yes—
222#2409C2211yescharacteristic
223#2408C2212yes—
224#2408C2212yes—
225#2408C2212yes—
226#2399C2212yescomplemented
227#2398C2214yescomplemented
228#2396C2212yes—
229#2377C2214yescomplemented
230#2375C2214yes—
231#2374C2214yescomplemented
232#2372C2212yes—
233#2372C2214yescomplemented
234#2372C2212yescomplemented
235#2369C2211yescharacteristic, complemented
236#2367C2212yescomplemented
237#2367C2212yescomplemented
238#2366C2211yescharacteristic
239#2365C2211yescharacteristic, complemented
240#2363C2212yes—
241#2363C2211yescharacteristic
242#2363C2212yescomplemented
243#2363C2211yescharacteristic, complemented
244#2363C2212yescomplemented
245#2362C2212yes—
246#2357C2212yescomplemented
247#2356C2212yescomplemented
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic, complemented
250#2354C2212yescomplemented
251Q8×C4⋊C4C2211yescharacteristic, complemented
252Q8×C4⋊C4C2211yescharacteristic, complemented
253#2346C2211yescharacteristic
254#2346C2212yescomplemented
255#2346C2211yescharacteristic, complemented
256#2342C2214yes—
257#2341C2212yescomplemented
258#2341C2212yescomplemented
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262#2335C2214yescomplemented
263#2333C2214yescomplemented
264#2328C2212yescomplemented
265#2326C2212yescomplemented
266#2324C2214yescomplemented
267#2323C2212yes—
268#2321C2214yes—
269#2319C2212yescomplemented
270#2312C2214yes—
271#2309C2212yes—
272#2309C2212yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#124C2212yes—
277C4×#124C2212yescomplemented
278C4×#124C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2212yescomplemented
288#2297C2212yescomplemented
289#2297C2212yescomplemented
290#2297C2212yescomplemented
291#2295C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2290C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#556—44no—
306#556—48no—
307#555—28no—
308#550—44no—
309#548—48no—
310#546—216no—
311#546—48no—
312#533—44no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127—44no—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#125C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×C4×Q8—44no—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2312yes—
416C2×#117C2311yescharacteristic
417C2×#117C2314yes—
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2312yes—
439#399C2314yes—
440#398C2312yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#395C2312yes—
475#395C2312yes—
476#395C2312yes—
477#395C2312yes—
478#395C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#393C2312yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
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#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#386C2312yes—
682#386C2314yes—
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#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2314yes—
711#386C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#383C2314yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#379C2314yes—
752#379C2314yes—
753#379C2314yes—
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757#379C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816#376C2312yes—
817#376C2314yes—
818C43C2311yescharacteristic
819C43C2312yes—
820C43C2312yes—
821C25C2414yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8—24no—
829C22×Q8—42no—
830C22×Q8—42no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×D4—28no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—82no—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C4⋊Q8—24no—
882C4⋊Q8—24no—
883C4⋊Q8—24no—
884C4⋊Q8—42no—
885C4⋊Q8—42no—
886#127—24no—
887#127—24no—
888#127—44no—
889#127—44no—
890#127—44no—
891#127—44no—
892#127—44no—
893#126—48no—
894#126—48no—
895#126—48no—
896#126—84no—
897#125—44no—
898#124—28no—
899#124—28no—
900#124—28no—
901#124—28no—
902#124—44no—
903#124—44no—
904#124—48no—
905#124—44no—
906#124—44no—
907#124—48no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—84no—
912#123—216no—
913#123—48no—
914#123—84no—
915C22⋊Q8—24no—
916C22⋊Q8—28no—
917C22⋊Q8—48no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—42no—
921C22⋊Q8—42no—
922C22⋊Q8—42no—
923C22⋊Q8—44no—
924C22⋊Q8—48no—
925C22⋊Q8—44no—
926C22⋊Q8—84no—
927#121—28no—
928#121—28no—
929#121—24no—
930#121—24no—
931#121—216no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—48no—
941#121—44no—
942#121—84no—
943#121—82no—
944#120—216no—
945#120—48no—
946#120—84no—
947C4×Q8—28no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×Q8—44no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×Q8—42no—
956C4×Q8—42no—
957C4×Q8—44no—
958C4×Q8—44no—
959C4×Q8—44no—
960C4×D4—28no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—44no—
964C4×D4—42no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—42no—
971C4×D4—44no—
972C4×D4—48no—
973C4×D4—44no—
974C4×D4—42no—
975C4×D4—82no—
976C4×D4#4118yescomplemented
977#117—24no—
978#117—24no—
979#117—28no—
980#117—44no—
981#117—44no—
982#117—48no—
983#117—42no—
984#117—42no—
985#117—44no—
986C2×C4⋊C4—44no—
987C2×C4⋊C4—42no—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4—216no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—44no—
1120C2×C42—44no—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—28no—
1216C24—44no—
1217C24—44no—
1218C24—44no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24C2514yes—
1223C24C2514yes—
1224C24C2512yes—
1225C24C2511yescharacteristic
1226C24C2511yescharacteristic
1227#41—816no—
1228#41—816no—
1229C2×Q8—24no—
1230C2×Q8—24no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—42no—
1244C2×Q8—42no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—416no—
1250C2×Q8H(5,𝔽2)14yes—
1251C2×D4—28no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—28no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—816no—
1308C2×D4—816no—
1309C2×D4—816no—
1310C2×D4C2×#4114yes—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—28no—
1329C22×C4—28no—
1330C22×C4—22no—
1331C22×C4—28no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—41no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—41no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—41no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4C2×#4114yes—
1355C22×C4C2×#4114yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—28no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—28no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—41no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4C2×#4114yes—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—28no—
1457C22⋊C4—24no—
1458C22⋊C4—22no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—41no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4C2×#4114yes—
1512C22⋊C4C2×#4114yes—
1513C42—24no—
1514C42—24no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—24no—
1523C42—28no—
1524C42—24no—
1525C42—24no—
1526C42—22no—
1527C42—24no—
1528C42—22no—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—22no—
1533C42—42no—
1534C42—42no—
1535C42—42no—
1536C42—42no—
1537C42—42no—
1538C42—42no—
1539C42—42no—
1540C42—44no—
1541C42—44no—
1542C42—41no—
1543C42—41no—
1544C42—44no—
1545C42—42no—
1546C42—42no—
1547C42C2×#4114yes—
1548C42H(5,𝔽2)14yes—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—24no—
1563C23—24no—
1564C23—24no—
1565C23—22no—
1566C23—24no—
1567C23—22no—
1568C23—24no—
1569C23—24no—
1570C23—22no—
1571C23—24no—
1572C23—24no—
1573C23—24no—
1574C23—24no—
1575C23—24no—
1576C23—22no—
1577C23—22no—
1578C23—24no—
1579C23—24no—
1580C23—24no—
1581C23—22no—
1582C23—88no—
1583C23—88no—
1584C23—88no—
1585C23—88no—
1586C23—88no—
1587C23—164no—
1588C23—164no—
1589C23C22×#4112yes—
1590C23C22×#4112yes—
1591C23C2611yescharacteristic
1592Q8—28no—
1593Q8—48no—
1594Q8—48no—
1595Q8—44no—
1596Q8—44no—
1597Q8—84no—
1598Q8—84no—
1599D4—44no—
1600D4—48no—
1601D4—44no—
1602D4—48no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—88no—
1607D4—84no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—84no—
1612D4—84no—
1613D4—88no—
1614D4—88no—
1615D4—164no—
1616D4—164no—
1617D4—164no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—28no—
1633C2×C4—28no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—44no—
1698C2×C4—48no—
1699C2×C4—48no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—48no—
1703C2×C4—88no—
1704C2×C4—82no—
1705C2×C4—88no—
1706C2×C4—88no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—164no—
1710C2×C4C22×#4112yes—
1711C2×C4C22×#4112yes—
1712C2×C4C22×#4112yes—
1713C2×C4C22×#4112yes—
1714C2×C4C22×#4112yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)14yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4#58512yes—
1721C2×C4#58512yes—
1722C2×C4#58512yes—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—44no—
1738C22—42no—
1739C22—44no—
1740C22—44no—
1741C22—44no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—44no—
1746C22—42no—
1747C22—44no—
1748C22—44no—
1749C22—44no—
1750C22—44no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—44no—
1755C22—42no—
1756C22—44no—
1757C22—44no—
1758C22—1616no—
1759C22C23×#4111yescharacteristic
1760C22C22×H(5,𝔽2)11yescharacteristic
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C2×#58511yescharacteristic
1763C22C2×#58511yescharacteristic
1764C22C2×#58511yescharacteristic
1765C22H(7,𝔽2)11yescharacteristic
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—22no—
1770C4—22no—
1771C4—22no—
1772C4—24no—
1773C4—44no—
1774C4—42no—
1775C4—42no—
1776C4—44no—
1777C4—42no—
1778C4—41no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—41no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—41no—
1792C4—42no—
1793C4—42no—
1794C4#351414yes—
1795C4#354214yes—
1796C2—42no—
1797C2—42no—
1798C2—82no—
1799C2—84no—
1800C2—84no—
1801C2C2×#354211yescharacteristic
1802C2C2×#351411yescharacteristic
1803C2#6281511yescharacteristic
1804C2#6292411yescharacteristic
1805C2#6296611yescharacteristic
1806C2#6298611yescharacteristic
1807C2#6303511yescharacteristic
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. #59903C2semidirect
2. #59821C2semidirect
3. #59416C2semidirect
4. #59124C2semidirect
5. #59049C2semidirect
6. #50359C2semidirect
7. #49477C2semidirect
8. #46042C2semidirect
9. #45701C2semidirect
10. #44963C2semidirect
11. #44961C2semidirect
12. #43681C2semidirect
13. #42976C2semidirect
14. #42699C2semidirect
15. #41505C2semidirect
16. #40030C2semidirect
17. #39960C2semidirect
18. #39954C2semidirect
19. #39771C2semidirect
20. #39727C2semidirect
21. #39024C2semidirect
22. #38090C2semidirect
23. #36576C2semidirect
24. #36460C2semidirect
25. #36419C2semidirect
26. #36399C2semidirect
27. #36314C2semidirect
28. #36121C2semidirect
29. #35285C2semidirect
30. #35197C2semidirect
31. #35136C2semidirect
32. #34955C2semidirect
33. #34691C2semidirect
34. #34478C2semidirect
35. C4×#555C2semidirect
36. C2×#556C22semidirect
37. C2×#556C22semidirect
40. C2×#548C22semidirect
46. C22×C4×Q8C22semidirect
47. #2864C22semidirect
48. #2860C22semidirect
54. #2856C22semidirect
55. #2854C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
58. #2837C22semidirect
59. #2829C22semidirect
60. #2796C22semidirect
61. #2761C22semidirect
62. #2756C22semidirect
63. #2756C22semidirect
64. #2756C22semidirect
65. #2751C22semidirect
68. #2730C22semidirect
69. #2727C22semidirect
70. #2725C22semidirect
71. #2723C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2703C22semidirect
76. #2702C22semidirect
77. #2700C22semidirect
79. #2692C22semidirect
80. #2688C22semidirect
81. #2687C22semidirect
82. #2686C22semidirect
83. #2686C22semidirect
87. #2676C22semidirect
88. #2676C22semidirect
89. #2676C22semidirect
93. #2663C22semidirect
94. #2662C22semidirect
95. #2651C22semidirect
96. #2648C22semidirect
97. #2648C22semidirect
98. #2648C22semidirect
100. #2640C22semidirect
102. #2610C22semidirect
103. #2610C22semidirect
104. #2603C22semidirect
105. #2602C22semidirect
106. #2592C22semidirect
107. #2592C22semidirect
108. #2592C22semidirect
109. #2592C22semidirect
110. #2591C22semidirect
111. #2582C22semidirect
112. #2580C22semidirect
113. #2571C22semidirect
114. #2568C22semidirect
115. #2568C22semidirect
117. #2559C22semidirect
118. #2559C22semidirect
119. #2559C22semidirect
120. #2559C22semidirect
121. #2557C22semidirect
122. #2554C22semidirect
123. #2553C22semidirect
131. #2548C22semidirect
132. #2548C22semidirect
134. #2544C22semidirect
135. #2544C22semidirect
136. #2542C22semidirect
139. #2540C22semidirect
140. #2538C22semidirect
141. #2538C22semidirect
142. #2538C22semidirect
144. #2533C22semidirect
145. #2531C22semidirect
146. #2531C22semidirect
148. #2526C22semidirect
149. #2526C22semidirect
150. #2521C22semidirect
151. #2518C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
154. #2512C22semidirect
155. #2512C22semidirect
156. #2512C22semidirect
157. #2511C22semidirect
158. #2504C22semidirect
159. #2500C22semidirect
160. #2500C22semidirect
164. #2476C22semidirect
165. #2476C22semidirect
166. #2473C22semidirect
169. #2471C22semidirect
170. #2471C22semidirect
171. #2467C22semidirect
173. #2462C22semidirect
174. #2457C22semidirect
175. #2451C22semidirect
177. #2448C22semidirect
178. #2448C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2447C22semidirect
182. #2447C22semidirect
183. #2446C22semidirect
187. #2445C22semidirect
188. #2440C22semidirect
189. #2439C22semidirect
190. #2436C22semidirect
195. #2434C22semidirect
197. #2432C22semidirect
200. #2431C22semidirect
202. #2429C22semidirect
206. #2427C22semidirect
207. #2427C22semidirect
208. #2426C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
213. #2420C22semidirect
214. #2420C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
219. #2415C22semidirect
220. #2414C22semidirect
226. #2399C22semidirect
227. #2398C22semidirect
229. #2377C22semidirect
231. #2374C22semidirect
233. #2372C22semidirect
234. #2372C22semidirect
235. #2369C22semidirect
236. #2367C22semidirect
237. #2367C22semidirect
239. #2365C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
246. #2357C22semidirect
247. #2356C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. Q8×C4⋊C4C22semidirect
252. Q8×C4⋊C4C22semidirect
254. #2346C22semidirect
255. #2346C22semidirect
257. #2341C22semidirect
258. #2341C22semidirect
262. #2335C22semidirect
263. #2333C22semidirect
264. #2328C22semidirect
265. #2326C22semidirect
266. #2324C22semidirect
269. #2319C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
277. C4×#124C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. #2297C22semidirect
289. #2297C22semidirect
290. #2297C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
295. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
976. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#599032
#598212
#594162
#591242
#590492
#503592
#494772
#460422
#457012
#449632
#449612
#436812
#429762
#426992
#415052
#400302
#399602
#399542
#397712
#397272
#390242
#380902
#365762
#364602
#364192
#363992
#363142
#361212
#352852
#351972
#351362
#349552
#346912
#344782
C4×#5552