Finite Group Databasebeta

← #7686279

Subgroups — #7686279

Order 512.

5723 conjugacy classes of subgroups.

The subgroup lattice has 1813 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60010C214yesmaximal, complemented
2#59822C211yesmaximal, characteristic, complemented
3#59807C212yesmaximal, complemented
4#59637C212yesmaximal, complemented
5#59568C212yesmaximal, complemented
6#59444C211yesmaximal, characteristic, complemented
7#59442C211yesmaximal, characteristic, complemented
8#59044C212yesmaximal, complemented
9#44959C212yesmaximal, complemented
10#44905C212yesmaximal, complemented
11#44038C214yesmaximal, complemented
12#43973C214yesmaximal, complemented
13#40332C214yesmaximal, complemented
14#39818C212yesmaximal, complemented
15#39539C212yesmaximal, complemented
16#39491C211yesmaximal, characteristic, complemented
17#39006C212yesmaximal, complemented
18#38953C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36476C211yesmaximal, characteristic, complemented
21#36463C211yesmaximal, characteristic, complemented
22#36360C212yesmaximal, complemented
23#36302C212yesmaximal, complemented
24#36269C212yesmaximal, complemented
25#36260C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35813C212yesmaximal, complemented
28#35741C212yesmaximal, complemented
29#34911C212yesmaximal, complemented
30#34893C211yesmaximal, characteristic, complemented
31#34316C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34255C212yesmaximal, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×#529C2212yescomplemented
45C2×#518C2212yes—
46C2×C4×#41C2212yescomplemented
47#2862C2211yescharacteristic, complemented
48#2861C2214yescomplemented
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2856C2212yes—
52#2855C2212yescomplemented
53#2854C2212yescomplemented
54#2850C2212yescomplemented
55#2803C2214yescomplemented
56#2797C2214yescomplemented
57#2773C2214yescomplemented
58#2768C2214yescomplemented
59#2753C2214yescomplemented
60#2752C2214yescomplemented
61#2751C2214yescomplemented
62#2733C2214yescomplemented
63#2714C2214yescomplemented
64#2710C2214yescomplemented
65#2710C2214yescomplemented
66#2706C2214yescomplemented
67#2701C2214yescomplemented
68#2695C2214yescomplemented
69#2694C2214yescomplemented
70#2694C2214yescomplemented
71#2688C2214yescomplemented
72#2685C2214yescomplemented
73#2684C2214yescomplemented
74#2670C2214yes—
75#2670C2214yes—
76#2651C2214yescomplemented
77#2635C2214yescomplemented
78#2619C2212yes—
79#2619C2212yescomplemented
80#2611C2214yescomplemented
81#2610C2214yescomplemented
82#2607C2214yescomplemented
83#2604C2214yescomplemented
84#2603C2214yescomplemented
85#2602C2214yescomplemented
86#2602C2214yescomplemented
87#2592C2212yescomplemented
88#2592C2212yescomplemented
89#2589C2214yescomplemented
90#2589C2212yescomplemented
91#2587C2212yescomplemented
92#2584C2211yescharacteristic, complemented
93#2580C2211yescharacteristic
94#2580C2212yes—
95#2580C2212yescomplemented
96#2570C2212yescomplemented
97#2570C2212yescomplemented
98#2566C2211yescharacteristic
99#2563C2211yescharacteristic
100#2563C2211yescharacteristic, complemented
101#2562C2212yescomplemented
102#2559C2214yescomplemented
103#2557C2214yescomplemented
104#2557C2214yescomplemented
105#2557C2214yescomplemented
106#2554C2214yescomplemented
107#2552C2212yescomplemented
108#2550C2211yescharacteristic, complemented
109#2548C2212yescomplemented
110#2548C2212yescomplemented
111#2542C2211yescharacteristic
112#2542C2211yescharacteristic, complemented
113#2541C2211yescharacteristic
114#2541C2211yescharacteristic
115#2541C2212yescomplemented
116#2540C2212yes—
117#2540C2212yes—
118#2539C2214yes—
119#2539C2214yes—
120#2539C2214yescomplemented
121#2537C2212yescomplemented
122#2536C2212yescomplemented
123#2531C2214yescomplemented
124#2531C2214yescomplemented
125#2522C2212yescomplemented
126#2521C2214yescomplemented
127#2516C2214yescomplemented
128#2513C2212yescomplemented
129#2513C2212yescomplemented
130#2513C2212yescomplemented
131#2513C2212yescomplemented
132#2512C2212yescomplemented
133#2512C2212yescomplemented
134#2509C2211yescharacteristic, complemented
135#2507C2211yescharacteristic, complemented
136#2504C2212yescomplemented
137#2501C2212yes—
138#2500C2212yes—
139#2500C2212yescomplemented
140#2492C2212yescomplemented
141#2490C2214yescomplemented
142#2490C2212yescomplemented
143#2486C2212yescomplemented
144#2485C2212yescomplemented
145#2479C2214yescomplemented
146#2476C2214yescomplemented
147#2476C2214yescomplemented
148#2472C2214yescomplemented
149#2471C2214yescomplemented
150#2471C2214yescomplemented
151#2470C2214yescomplemented
152#2467C2214yescomplemented
153#2465C2212yescomplemented
154#2464C2214yescomplemented
155#2464C2214yescomplemented
156#2464C2214yescomplemented
157#2459C2214yescomplemented
158#2458C2214yescomplemented
159#2458C2214yescomplemented
160#2457C2214yescomplemented
161#2456C2214yescomplemented
162#2454C2211yescharacteristic
163#2452C2211yescharacteristic
164#2448C2212yescomplemented
165#2448C2212yescomplemented
166#2447C2212yescomplemented
167#2447C2212yescomplemented
168#2445C2212yes—
169#2445C2212yes—
170#2445C2212yescomplemented
171#2445C2212yescomplemented
172#2433C2212yes—
173#2433C2212yes—
174#2427C2212yescomplemented
175#2427C2214yescomplemented
176#2426C2212yescomplemented
177#2424C2214yescomplemented
178#2424C2214yescomplemented
179#2423C2212yescomplemented
180#2420C2212yescomplemented
181#2418C2214yescomplemented
182#2418C2214yescomplemented
183#2417C2212yescomplemented
184#2415C2212yescomplemented
185#2415C2212yescomplemented
186#2415C2212yescomplemented
187#2414C2212yes—
188#2414C2212yes—
189#2414C2214yescomplemented
190#2414C2212yescomplemented
191#2414C2212yescomplemented
192#2412C2214yescomplemented
193#2411C2214yescomplemented
194#2408C2212yes—
195#2408C2212yes—
196#2407C2212yes—
197#2407C2212yes—
198#2404C2214yescomplemented
199#2396C2212yescomplemented
200#2396C2212yescomplemented
201#2395C2214yescomplemented
202#2388C2214yescomplemented
203#2374C2214yescomplemented
204#2372C2214yescomplemented
205#2369C2211yescharacteristic, complemented
206#2367C2212yescomplemented
207#2367C2212yescomplemented
208#2366C2211yescharacteristic
209#2366C2211yescharacteristic
210#2366C2211yescharacteristic
211#2366C2212yescomplemented
212#2366C2212yescomplemented
213#2366C2211yescharacteristic, complemented
214#2365C2211yescharacteristic, complemented
215#2363C2212yes—
216#2363C2212yes—
217#2363C2212yescomplemented
218#2363C2212yescomplemented
219#2363C2212yescomplemented
220#2363C2212yescomplemented
221#2363C2212yescomplemented
222#2362C2212yescomplemented
223#2361C2212yes—
224#2358C2214yes—
225#2358C2214yescomplemented
226#2357C2212yes—
227#2357C2212yes—
228#2357C2212yescomplemented
229#2357C2212yescomplemented
230#2355C2212yescomplemented
231#2354C2211yescharacteristic
232#2354C2212yes—
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic, complemented
235#2354C2212yescomplemented
236#2354C2211yescharacteristic, complemented
237#2354C2212yescomplemented
238#2354C2211yescharacteristic, complemented
239#2354C2211yescharacteristic, complemented
240#2352C2212yescomplemented
241Q8×C4⋊C4C2211yescharacteristic, complemented
242D4×C4⋊C4C2211yescharacteristic
243#2346C2212yescomplemented
244#2346C2212yescomplemented
245#2345C2212yescomplemented
246#2342C2214yescomplemented
247#2342C2214yescomplemented
248#2342C2214yescomplemented
249#2342C2214yescomplemented
250#2341C2212yes—
251#2341C2212yescomplemented
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254#2335C2214yescomplemented
255#2324C2212yes—
256#2324C2212yescomplemented
257#2321C2214yes—
258#2319C2214yescomplemented
259#2319C2214yescomplemented
260#2317C2212yescomplemented
261#2309C2212yes—
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#127C2211yescharacteristic, complemented
269C4×#125C2211yescharacteristic, complemented
270C4×#125C2211yescharacteristic, complemented
271C4×#124C2214yescomplemented
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282#2297C2212yes—
283#2296C2212yescomplemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2293C2214yescomplemented
287#2293C2214yescomplemented
288#2293C2214yescomplemented
289C2×#390C2212yes—
290C2×#390C2212yes—
291#2274C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2212yescomplemented
298C4×#117C2212yescomplemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#555—28no—
304#555—48no—
305#552—48no—
306#550—28no—
307#547—28no—
308#546—48no—
309#546—48no—
310D42—28no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320#529—48no—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367#518—216no—
368C4×#41—48no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2314yes—
417C2×#117C2314yes—
418C2×#117C2314yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C22⋊C4C2314yes—
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C42C2312yes—
430C22×C42C2312yes—
431C22×C42C2312yes—
432C22×C42C2312yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#399C2314yes—
438#399C2312yes—
439#399C2314yes—
440#399C2314yes—
441#399C2312yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2312yes—
466#396C2312yes—
467#396C2312yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#395C2312yes—
472#395C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
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#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2312yes—
497#393C2314yes—
498#393C2312yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2314yes—
546#390C2314yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2314yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2312yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#379C2314yes—
747#379C2314yes—
748#379C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815#376C2314yes—
816#376C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2314yes—
821C25C2414yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C4⋊Q8—24no—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878#127—24no—
879#127—24no—
880#127—24no—
881#127—24no—
882#127—44no—
883#127—44no—
884#126—48no—
885#126—48no—
886#125—24no—
887#125—24no—
888#125—48no—
889#124—216no—
890#124—28no—
891#124—44no—
892#124—44no—
893#124—48no—
894#124—48no—
895#124—82no—
896#123—216no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—84no—
902#123—84no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—28no—
914#121—28no—
915#121—28no—
916#121—28no—
917#121—28no—
918#121—48no—
919#121—48no—
920#121—44no—
921#121—44no—
922#121—48no—
923#121—44no—
924#121—84no—
925#120—216no—
926#120—48no—
927#120—48no—
928#120—48no—
929#120—84no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—44no—
933C4×Q8—42no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—82no—
938C4×D4—28no—
939C4×D4—216no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—216no—
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—48no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—82no—
967C4×D4—84no—
968C4×D4#4118yescomplemented
969C4×D4#4118yescomplemented
970#117—28no—
971#117—28no—
972#117—28no—
973#117—28no—
974#117—28no—
975#117—44no—
976#117—44no—
977#117—44no—
978#117—48no—
979#117—48no—
980#117—48no—
981#117—44no—
982#117—44no—
983C2×C4⋊C4—28no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C22⋊C4—216no—
1047C2×C22⋊C4—216no—
1048C2×C22⋊C4—48no—
1049C2×C22⋊C4—48no—
1050C2×C22⋊C4—84no—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C42—28no—
1121C2×C42—44no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—28no—
1216C24—28no—
1217C24—44no—
1218C24—44no—
1219C24—44no—
1220C24—44no—
1221C24—44no—
1222C24C2514yes—
1223C24C2512yes—
1224C24C2512yes—
1225C24C2512yes—
1226C24C2512yes—
1227#41—432no—
1228#41—816no—
1229C2×Q8—22no—
1230C2×Q8—24no—
1231C2×Q8—24no—
1232C2×Q8—22no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—22no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—42no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—28no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—432no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
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—816no—
1304C2×D4C2×#4114yes—
1305C2×D4C2×#4114yes—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—28no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—28no—
1324C22×C4—28no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4C2×#4118yes—
1353C22×C4C2×#4118yes—
1354C22×C4C2514yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2514yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—28no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4C2×#4114yes—
1443C4⋊C4C2×#4114yes—
1444C4⋊C4H(5,𝔽2)14yes—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—24no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4C2×#4118yes—
1513C22⋊C4C2×#4118yes—
1514C42—28no—
1515C42—28no—
1516C42—24no—
1517C42—22no—
1518C42—22no—
1519C42—24no—
1520C42—24no—
1521C42—24no—
1522C42—22no—
1523C42—22no—
1524C42—28no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—24no—
1530C42—22no—
1531C42—24no—
1532C42—22no—
1533C42—22no—
1534C42—42no—
1535C42—42no—
1536C42—42no—
1537C42—42no—
1538C42—42no—
1539C42—42no—
1540C42—44no—
1541C42—44no—
1542C42—44no—
1543C42—44no—
1544C42—41no—
1545C42—44no—
1546C42—41no—
1547C42—41no—
1548C42—41no—
1549C42—41no—
1550C42C2×#4114yes—
1551C42C2×#4114yes—
1552C42H(5,𝔽2)14yes—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—24no—
1573C23—24no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—22no—
1584C23—24no—
1585C23—22no—
1586C23—416no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—88no—
1591C23—164no—
1592C23—164no—
1593C23C22×#4114yes—
1594C23C22×#4114yes—
1595C23C2611yescharacteristic
1596Q8—28no—
1597Q8—48no—
1598Q8—84no—
1599Q8—84no—
1600D4—28no—
1601D4—28no—
1602D4—416no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—44no—
1607D4—44no—
1608D4—48no—
1609D4—48no—
1610D4—84no—
1611D4—84no—
1612D4—88no—
1613D4—84no—
1614D4—84no—
1615D4—88no—
1616D4—88no—
1617D4—88no—
1618D4—88no—
1619D4—164no—
1620D4—164no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—216no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—24no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—24no—
1690C2×C4—21no—
1691C2×C4—24no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—48no—
1700C2×C4—48no—
1701C2×C4—48no—
1702C2×C4—48no—
1703C2×C4—88no—
1704C2×C4—84no—
1705C2×C4—88no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—88no—
1709C2×C4—88no—
1710C2×C4—84no—
1711C2×C4—84no—
1712C2×C4C22×#4114yes—
1713C2×C4C22×#4114yes—
1714C2×C4C22×#4112yes—
1715C2×C4C22×#4112yes—
1716C2×C4C22×#4112yes—
1717C2×C4C22×#4112yes—
1718C2×C4C22×#4112yes—
1719C2×C4C22×#4112yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)14yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4#58512yes—
1726C2×C4#58512yes—
1727C22—24no—
1728C22—24no—
1729C22—24no—
1730C22—24no—
1731C22—24no—
1732C22—24no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—44no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—44no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—44no—
1753C22—42no—
1754C22—42no—
1755C22—44no—
1756C22—42no—
1757C22—42no—
1758C22—44no—
1759C22—44no—
1760C22—42no—
1761C22—42no—
1762C22—1616no—
1763C22C23×#4111yescharacteristic
1764C22C23×#4111yescharacteristic
1765C22C22×H(5,𝔽2)11yescharacteristic
1766C22C22×H(5,𝔽2)11yescharacteristic
1767C22C2×#58511yescharacteristic
1768C22C2×#58511yescharacteristic
1769C22H(7,𝔽2)11yescharacteristic
1770C4—22no—
1771C4—22no—
1772C4—24no—
1773C4—24no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—24no—
1779C4—44no—
1780C4—42no—
1781C4—41no—
1782C4—41no—
1783C4—44no—
1784C4—41no—
1785C4—41no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—44no—
1793C4—41no—
1794C4—41no—
1795C4—42no—
1796C4—42no—
1797C4—42no—
1798C4#347514yes—
1799C4#350814yes—
1800C2—44no—
1801C2—44no—
1802C2—82no—
1803C2—82no—
1804C2—84no—
1805C2C2×#347511yescharacteristic
1806C2#6277311yescharacteristic
1807C2C2×#350811yescharacteristic
1808C2#6293011yescharacteristic
1809C2#6298611yescharacteristic
1810C2#6301011yescharacteristic
1811C2#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. #60010C2semidirect
2. #59822C2semidirect
3. #59807C2semidirect
4. #59637C2semidirect
5. #59568C2semidirect
6. #59444C2semidirect
7. #59442C2semidirect
8. #59044C2semidirect
9. #44959C2semidirect
10. #44905C2semidirect
11. #44038C2semidirect
12. #43973C2semidirect
13. #40332C2semidirect
14. #39818C2semidirect
15. #39539C2semidirect
16. #39491C2semidirect
17. #39006C2semidirect
18. #38953C2semidirect
19. #36609C2semidirect
20. #36476C2semidirect
21. #36463C2semidirect
22. #36360C2semidirect
23. #36302C2semidirect
24. #36269C2semidirect
25. #36260C2semidirect
26. #36115C2semidirect
27. #35813C2semidirect
28. #35741C2semidirect
29. #34911C2semidirect
30. #34893C2semidirect
31. #34316C2semidirect
32. #34310C2semidirect
33. #34255C2semidirect
34. C4×#555C2semidirect
35. C4×#550C2semidirect
37. C2×#555C22semidirect
38. C2×#552C22semidirect
44. C2×#529C22semidirect
46. C2×C4×#41C22semidirect
47. #2862C22semidirect
48. #2861C22semidirect
52. #2855C22semidirect
53. #2854C22semidirect
54. #2850C22semidirect
55. #2803C22semidirect
56. #2797C22semidirect
57. #2773C22semidirect
58. #2768C22semidirect
59. #2753C22semidirect
60. #2752C22semidirect
61. #2751C22semidirect
62. #2733C22semidirect
63. #2714C22semidirect
64. #2710C22semidirect
65. #2710C22semidirect
66. #2706C22semidirect
67. #2701C22semidirect
68. #2695C22semidirect
69. #2694C22semidirect
70. #2694C22semidirect
71. #2688C22semidirect
72. #2685C22semidirect
73. #2684C22semidirect
76. #2651C22semidirect
77. #2635C22semidirect
79. #2619C22semidirect
80. #2611C22semidirect
81. #2610C22semidirect
82. #2607C22semidirect
83. #2604C22semidirect
84. #2603C22semidirect
85. #2602C22semidirect
86. #2602C22semidirect
87. #2592C22semidirect
88. #2592C22semidirect
89. #2589C22semidirect
90. #2589C22semidirect
91. #2587C22semidirect
92. #2584C22semidirect
95. #2580C22semidirect
96. #2570C22semidirect
97. #2570C22semidirect
100. #2563C22semidirect
101. #2562C22semidirect
102. #2559C22semidirect
103. #2557C22semidirect
104. #2557C22semidirect
105. #2557C22semidirect
106. #2554C22semidirect
107. #2552C22semidirect
108. #2550C22semidirect
109. #2548C22semidirect
110. #2548C22semidirect
112. #2542C22semidirect
115. #2541C22semidirect
120. #2539C22semidirect
121. #2537C22semidirect
122. #2536C22semidirect
123. #2531C22semidirect
124. #2531C22semidirect
125. #2522C22semidirect
126. #2521C22semidirect
127. #2516C22semidirect
128. #2513C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
131. #2513C22semidirect
132. #2512C22semidirect
133. #2512C22semidirect
134. #2509C22semidirect
135. #2507C22semidirect
136. #2504C22semidirect
139. #2500C22semidirect
140. #2492C22semidirect
141. #2490C22semidirect
142. #2490C22semidirect
143. #2486C22semidirect
144. #2485C22semidirect
145. #2479C22semidirect
146. #2476C22semidirect
147. #2476C22semidirect
148. #2472C22semidirect
149. #2471C22semidirect
150. #2471C22semidirect
151. #2470C22semidirect
152. #2467C22semidirect
153. #2465C22semidirect
154. #2464C22semidirect
155. #2464C22semidirect
156. #2464C22semidirect
157. #2459C22semidirect
158. #2458C22semidirect
159. #2458C22semidirect
160. #2457C22semidirect
161. #2456C22semidirect
164. #2448C22semidirect
165. #2448C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
170. #2445C22semidirect
171. #2445C22semidirect
174. #2427C22semidirect
175. #2427C22semidirect
176. #2426C22semidirect
177. #2424C22semidirect
178. #2424C22semidirect
179. #2423C22semidirect
180. #2420C22semidirect
181. #2418C22semidirect
182. #2418C22semidirect
183. #2417C22semidirect
184. #2415C22semidirect
185. #2415C22semidirect
186. #2415C22semidirect
189. #2414C22semidirect
190. #2414C22semidirect
191. #2414C22semidirect
192. #2412C22semidirect
193. #2411C22semidirect
198. #2404C22semidirect
199. #2396C22semidirect
200. #2396C22semidirect
201. #2395C22semidirect
202. #2388C22semidirect
203. #2374C22semidirect
204. #2372C22semidirect
205. #2369C22semidirect
206. #2367C22semidirect
207. #2367C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2366C22semidirect
214. #2365C22semidirect
217. #2363C22semidirect
218. #2363C22semidirect
219. #2363C22semidirect
220. #2363C22semidirect
221. #2363C22semidirect
222. #2362C22semidirect
225. #2358C22semidirect
228. #2357C22semidirect
229. #2357C22semidirect
230. #2355C22semidirect
234. #2354C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
238. #2354C22semidirect
239. #2354C22semidirect
240. #2352C22semidirect
241. Q8×C4⋊C4C22semidirect
243. #2346C22semidirect
244. #2346C22semidirect
245. #2345C22semidirect
246. #2342C22semidirect
247. #2342C22semidirect
248. #2342C22semidirect
249. #2342C22semidirect
251. #2341C22semidirect
254. #2335C22semidirect
256. #2324C22semidirect
258. #2319C22semidirect
259. #2319C22semidirect
260. #2317C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
268. C4×#127C22semidirect
269. C4×#125C22semidirect
270. C4×#125C22semidirect
271. C4×#124C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
283. #2296C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
968. C4×D4#41semidirect
969. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#600102
#598222
#598072
#596372
#595682
#594442
#594422
#590442
#449592
#449052
#440382
#439732
#403322
#398182
#395392
#394912
#390062
#389532
#366092
#364762
#364632
#363602
#363022
#362692
#362602
#361152
#358132
#357412
#349112
#348932
#343162
#343102
#342552
C4×#5552
C4×#5502