Finite Group Databasebeta

← #8095275

Subgroups — #8095275

Order 512.

5947 conjugacy classes of subgroups.

The subgroup lattice has 1941 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53144C212yesmaximal, complemented
2#53144C212yesmaximal, complemented
3#53080C212yesmaximal, complemented
4#53046C212yesmaximal, complemented
5#53046C212yesmaximal, complemented
6#53005C212yesmaximal, complemented
7#52990C212yesmaximal, complemented
8#52958C212yesmaximal, complemented
9#52753C214yesmaximal, complemented
10#52395C214yesmaximal, complemented
11#46099C214yesmaximal, complemented
12#46054C212yesmaximal, complemented
13#46043C212yesmaximal, complemented
14#46031C214yesmaximal, complemented
15#46016C212yesmaximal, complemented
16#46004C212yesmaximal, complemented
17#45667C212yesmaximal, complemented
18#45601C212yesmaximal, complemented
19#45601C212yesmaximal, complemented
20#45494C212yesmaximal, complemented
21#35660C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic, complemented
23#35659C211yesmaximal, characteristic, complemented
24#35628C211yesmaximal, characteristic, complemented
25#35592C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic, complemented
27#35312C211yesmaximal, characteristic, complemented
28#35305C211yesmaximal, characteristic, complemented
29#35289C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35180C211yesmaximal, characteristic, complemented
32#35158C211yesmaximal, characteristic, complemented
33#34813C211yesmaximal, characteristic, complemented
34C2×#2492C211yesmaximal, characteristic, complemented
35#34738C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic, complemented
37C23×#41C2211yescharacteristic
38C2×#544C2211yescharacteristic, complemented
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic
41C2×#536C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C2×#533C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C22×C4⋊Q8C2211yescharacteristic, complemented
47C2×#525C2211yescharacteristic
48C2×#525C2211yescharacteristic
49C22×C22⋊Q8C2211yescharacteristic
50#2862C2212yescomplemented
51#2862C2212yescomplemented
52#2861C2212yescomplemented
53#2858C2212yescomplemented
54#2850C2214yescomplemented
55#2850C2214yescomplemented
56#2848C2212yes—
57#2848C2212yes—
58#2848C2212yes—
59#2847C2212yes—
60#2844C2214yescomplemented
61#2840C2214yes—
62#2835C2214yescomplemented
63#2835C2214yescomplemented
64#2832C2214yescomplemented
65#2832C2214yescomplemented
66#2832C2214yescomplemented
67#2832C2214yescomplemented
68#2832C2214yescomplemented
69#2832C2214yescomplemented
70#2832C2214yescomplemented
71#2828C2214yescomplemented
72#2828C2214yescomplemented
73#2824C2214yes—
74#2824C2214yescomplemented
75#2824C2214yescomplemented
76#2824C2214yescomplemented
77#2824C2214yescomplemented
78#2819C2214yescomplemented
79#2819C2214yescomplemented
80#2811C2214yescomplemented
81#2804C2214yes—
82#2804C2214yes—
83#2804C2214yescomplemented
84#2804C2214yescomplemented
85#2804C2214yescomplemented
86#2785C2214yescomplemented
87#2782C2214yes—
88#2782C2214yescomplemented
89#2782C2214yescomplemented
90#2782C2214yescomplemented
91#2763C2214yes—
92#2763C2214yes—
93#2763C2214yescomplemented
94#2763C2214yescomplemented
95#2763C2214yescomplemented
96#2763C2214yescomplemented
97#2763C2214yescomplemented
98#2763C2214yescomplemented
99#2753C2214yes—
100#2753C2214yescomplemented
101#2753C2214yescomplemented
102#2753C2214yescomplemented
103#2753C2214yescomplemented
104#2753C2214yescomplemented
105#2736C2214yes—
106#2733C2214yescomplemented
107#2733C2214yescomplemented
108#2712C2214yescomplemented
109#2712C2214yescomplemented
110#2712C2214yescomplemented
111#2712C2214yescomplemented
112#2712C2214yescomplemented
113#2712C2214yescomplemented
114#2712C2214yescomplemented
115#2684C2214yes—
116#2684C2214yes—
117#2684C2214yes—
118#2670C2214yes—
119#2670C2214yes—
120#2642C2212yescomplemented
121#2640C2212yescomplemented
122#2640C2212yescomplemented
123#2640C2212yescomplemented
124#2639C2214yescomplemented
125#2639C2214yescomplemented
126#2616C2212yes—
127#2616C2212yes—
128#2616C2212yes—
129#2615C2212yes—
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2592C2212yescomplemented
133#2592C2212yescomplemented
134#2591C2214yescomplemented
135#2568C2212yescomplemented
136#2568C2212yescomplemented
137#2568C2212yescomplemented
138#2563C2212yes—
139#2563C2212yescomplemented
140#2563C2212yescomplemented
141#2563C2212yescomplemented
142#2562C2212yes—
143#2562C2212yescomplemented
144#2562C2212yescomplemented
145#2562C2212yescomplemented
146#2548C2212yescomplemented
147#2547C2212yescomplemented
148#2547C2212yescomplemented
149#2547C2212yescomplemented
150#2547C2212yescomplemented
151#2504C2214yescomplemented
152#2492C2212yes—
153#2492C2212yes—
154#2492C2212yes—
155#2492C2212yes—
156#2492C2212yes—
157#2492C2211yescharacteristic
158#2492C2212yescomplemented
159#2492C2212yescomplemented
160#2492C2212yescomplemented
161#2492C2212yescomplemented
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2492C2212yescomplemented
165#2492C2212yescomplemented
166#2492C2212yescomplemented
167#2492C2212yescomplemented
168#2492C2212yescomplemented
169#2492C2212yescomplemented
170#2492C2212yescomplemented
171#2492C2212yescomplemented
172#2492C2211yescharacteristic, complemented
173#2491C2211yescharacteristic
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2491C2212yescomplemented
177#2491C2212yescomplemented
178#2491C2212yescomplemented
179#2491C2211yescharacteristic, complemented
180#2491C2212yescomplemented
181#2491C2212yescomplemented
182#2490C2211yescharacteristic
183#2490C2212yes—
184#2490C2212yescomplemented
185#2490C2211yescharacteristic, complemented
186#2490C2212yescomplemented
187#2489C2211yescharacteristic
188#2489C2211yescharacteristic, complemented
189#2489C2212yescomplemented
190#2489C2212yescomplemented
191#2489C2212yescomplemented
192#2489C2212yescomplemented
193#2489C2212yescomplemented
194#2489C2212yescomplemented
195#2489C2212yescomplemented
196#2488C2212yescomplemented
197#2488C2214yescomplemented
198#2488C2214yescomplemented
199#2488C2214yescomplemented
200#2488C2212yescomplemented
201#2488C2214yescomplemented
202#2488C2214yescomplemented
203#2472C2212yes—
204#2472C2214yes—
205#2472C2212yes—
206#2436C2211yescharacteristic
207#2436C2214yescomplemented
208#2436C2214yescomplemented
209#2436C2212yescomplemented
210#2436C2212yescomplemented
211#2435C2211yescharacteristic
212#2435C2212yes—
213#2434C2212yes—
214#2434C2211yescharacteristic
215#2434C2212yescomplemented
216#2434C2212yescomplemented
217#2433C2211yescharacteristic
218#2432C2212yes—
219#2432C2211yescharacteristic
220#2432C2212yes—
221#2432C2211yescharacteristic
222#2432C2212yescomplemented
223#2432C2212yescomplemented
224#2431C2211yescharacteristic
225#2431C2211yescharacteristic
226#2431C2212yescomplemented
227#2431C2212yescomplemented
228#2430C2212yes—
229#2430C2214yes—
230#2430C2212yes—
231#2430C2214yescomplemented
232#2430C2214yescomplemented
233#2430C2214yescomplemented
234#2430C2214yescomplemented
235#2410C2212yes—
236#2410C2214yes—
237#2410C2212yes—
238#2409C2212yes—
239#2409C2212yes—
240#2409C2212yes—
241#2409C2212yescomplemented
242#2409C2212yescomplemented
243#2409C2212yescomplemented
244#2409C2212yescomplemented
245#2409C2212yescomplemented
246#2409C2212yescomplemented
247#2408C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2406C2214yes—
259#2406C2214yescomplemented
260#2405C2214yes—
261#2404C2214yes—
262#2398C2212yes—
263#2398C2212yescomplemented
264C2×#400C2212yescomplemented
265#2388C2212yes—
266#2388C2212yes—
267C2×#393C2212yes—
268#2379C2214yes—
269#2379C2214yescomplemented
270#2379C2214yescomplemented
271#2375C2214yes—
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic, complemented
277#2311C2211yescharacteristic, complemented
278#2311C2211yescharacteristic, complemented
279#2311C2211yescharacteristic, complemented
280#2310C2211yescharacteristic, complemented
281C4×#124C2212yes—
282C4×#124C2212yescomplemented
283C4×#120C2212yes—
284C4×#120C2212yes—
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic, complemented
288#2297C2211yescharacteristic, complemented
289C2×#391C2212yescomplemented
290C2×#391C2211yescharacteristic, complemented
291C2×#391C2211yescharacteristic, complemented
292C2×#388C2212yes—
293#2280C2211yescharacteristic
294C2×#380C2211yescharacteristic
295#2274C2211yescharacteristic, complemented
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C2×2−1+4—44no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41—44no—
303C22×#41—44no—
304C22×#41—44no—
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2312yes—
310C22×#41C2312yes—
311C22×#41C2311yescharacteristic
312C22×#41C2311yescharacteristic
313C22×#41C2314yes—
314C22×#41C2312yes—
315C22×#41C2312yes—
316C23×Q8C2311yescharacteristic
317C23×Q8C2311yescharacteristic
318C23×Q8C2312yes—
319C23×Q8C2312yes—
320C23×Q8C2312yes—
321C23×D4C2312yes—
322C23×D4C2311yescharacteristic
323C24×C4C2311yescharacteristic
324C24×C4C2312yes—
325#544—44no—
326#537—44no—
327#537—44no—
328#536—44no—
329#536—44no—
330#533—44no—
331#532—44no—
332#532—44no—
333C2×C4⋊Q8—44no—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2311yescharacteristic
348C2×#125C2312yes—
349C2×#125C2311yescharacteristic
350C2×#125C2311yescharacteristic
351C2×#125C2312yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2314yes—
355C2×#124C2311yescharacteristic
356C2×#124C2311yescharacteristic
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2311yescharacteristic
361C2×#124C2311yescharacteristic
362C2×#124C2314yes—
363C2×#124C2314yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2314yes—
367#525—44no—
368#525—44no—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2312yes—
372C2×#123C2312yes—
373C2×C22⋊Q8—44no—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×#121C2314yes—
394C2×#121C2311yescharacteristic
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2311yescharacteristic
400C2×#121C2312yes—
401C2×#121C2311yescharacteristic
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2311yescharacteristic
405C2×#121C2312yes—
406C2×#121C2312yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×#120C2312yes—
410C2×#120C2312yes—
411C2×#120C2314yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2311yescharacteristic
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2312yes—
453#400C2312yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2312yes—
459#400C2314yes—
460#400C2314yes—
461#400C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2312yes—
489#395C2314yes—
490#395C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2312yes—
523#394C2312yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2312yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2312yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2312yes—
550#393C2312yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2312yes—
556#393C2314yes—
557#393C2314yes—
558#393C2312yes—
559#392C2312yes—
560#392C2314yes—
561#392C2312yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2312yes—
569#392C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2312yes—
573#392C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2311yescharacteristic
587#391C2311yescharacteristic
588#391C2314yes—
589#391C2314yes—
590#391C2312yes—
591#391C2312yes—
592#391C2314yes—
593#391C2314yes—
594#391C2314yes—
595#391C2314yes—
596#391C2314yes—
597#391C2314yes—
598#391C2312yes—
599#391C2311yescharacteristic
600#391C2314yes—
601#391C2314yes—
602#391C2314yes—
603#391C2314yes—
604#391C2314yes—
605#391C2312yes—
606#391C2311yescharacteristic
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2311yescharacteristic
615#391C2312yes—
616#391C2314yes—
617#391C2314yes—
618#391C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#382C2314yes—
743#382C2314yes—
744#382C2314yes—
745#382C2314yes—
746#382C2314yes—
747#382C2314yes—
748#382C2314yes—
749#382C2312yes—
750#382C2314yes—
751#382C2314yes—
752#382C2312yes—
753#381C2314yes—
754#381C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2312yes—
779#379C2312yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2312yes—
784#379C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2311yescharacteristic
826C2×#95C2312yes—
827C43C2312yes—
828C25C2411yescharacteristic
829C25C2412yes—
8302−1+4—464no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—48no—
850C2×#41—48no—
851C2×#41—48no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—464no—
865C22×Q8—24no—
866C22×Q8—24no—
867C22×Q8—24no—
868C22×Q8—44no—
869C22×Q8—42no—
870C22×Q8—42no—
871C22×Q8—42no—
872C22×Q8—44no—
873C22×Q8—44no—
874C22×Q8—44no—
875C22×Q8—44no—
876C22×Q8—44no—
877C22×Q8—44no—
878C22×Q8—44no—
879C22×Q8—82no—
880C22×Q8C2412yes—
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2411yescharacteristic
884C22×Q8C2411yescharacteristic
885C22×Q8C2411yescharacteristic
886C22×Q8C2412yes—
887C22×Q8C2414yes—
888C22×Q8C2412yes—
889C22×Q8C2414yes—
890C22×Q8C2414yes—
891C22×Q8C2414yes—
892C22×Q8C2412yes—
893C22×D4—42no—
894C22×D4—42no—
895C22×D4—42no—
896C22×D4—44no—
897C22×D4—44no—
898C22×D4—44no—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2411yescharacteristic
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C22×D4C2411yescharacteristic
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2414yes—
921C23×C4—24no—
922C23×C4—24no—
923C23×C4—24no—
924C23×C4—44no—
925C23×C4—44no—
926C23×C4—44no—
927C23×C4C2412yes—
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2412yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2411yescharacteristic
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2414yes—
948C23×C4C2414yes—
949C23×C4C2411yescharacteristic
950C4⋊Q8—44no—
951C4⋊Q8—44no—
952C4⋊Q8—44no—
953C4⋊Q8—44no—
954C4⋊Q8—42no—
955C4⋊Q8—42no—
956C4⋊Q8—44no—
957C4⋊Q8—44no—
958C4⋊Q8—42no—
959C4⋊Q8—42no—
960C4⋊Q8—44no—
961C4⋊Q8—44no—
962#127—42no—
963#127—42no—
964#125—42no—
965#125—42no—
966#125—44no—
967#125—44no—
968#124—28no—
969#124—44no—
970#124—48no—
971#124—42no—
972#124—42no—
973#124—42no—
974#124—42no—
975#124—44no—
976#124—44no—
977#124—48no—
978#124—84no—
979#124—84no—
980#124—84no—
981#124—84no—
982#124—84no—
983#123—44no—
984#123—44no—
985#123—48no—
986#123—48no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—48no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—44no—
993C22⋊Q8—44no—
994C22⋊Q8—42no—
995C22⋊Q8—42no—
996C22⋊Q8—42no—
997C22⋊Q8—42no—
998C22⋊Q8—44no—
999C22⋊Q8—44no—
1000C22⋊Q8—44no—
1001C22⋊Q8—44no—
1002C22⋊Q8—44no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006#121—42no—
1007#121—42no—
1008#121—42no—
1009#121—42no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—48no—
1019#121—48no—
1020#120—28no—
1021#120—44no—
1022#120—44no—
1023#120—44no—
1024#120—84no—
1025C4×Q8—44no—
1026C4×Q8—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035#117—24no—
1036#117—24no—
1037#117—24no—
1038#117—24no—
1039C2×C4⋊C4—24no—
1040C2×C4⋊C4—24no—
1041C2×C4⋊C4—24no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4—44no—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C22⋊C4—24no—
1086C2×C22⋊C4—42no—
1087C2×C22⋊C4—44no—
1088C2×C22⋊C4—82no—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C42—24no—
1166C2×C42—24no—
1167C2×C42—82no—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—24no—
1259C24—41no—
1260C24—41no—
1261C24—42no—
1262C24—42no—
1263C24—42no—
1264C24—41no—
1265C24—42no—
1266C24—42no—
1267C24—42no—
1268C24C2511yescharacteristic
1269C24C2512yes—
1270C24C2512yes—
1271C24C2512yes—
1272C24C2512yes—
1273C24C2511yescharacteristic
1274C24C2511yescharacteristic
1275#41—432no—
1276#41—416no—
1277#41—416no—
1278#41—432no—
1279#41—464no—
1280#41—432no—
1281#41—432no—
1282#41—416no—
1283#41—416no—
1284#41—416no—
1285#41—416no—
1286C2×Q8—24no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—24no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—24no—
1297C2×Q8—24no—
1298C2×Q8—22no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—22no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—24no—
1305C2×Q8—28no—
1306C2×Q8—44no—
1307C2×Q8—44no—
1308C2×Q8—44no—
1309C2×Q8—42no—
1310C2×Q8—42no—
1311C2×Q8—42no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—44no—
1317C2×Q8—44no—
1318C2×Q8—44no—
1319C2×Q8—44no—
1320C2×Q8—44no—
1321C2×Q8—42no—
1322C2×Q8—44no—
1323C2×Q8—44no—
1324C2×Q8—44no—
1325C2×Q8—416no—
1326C2×Q8—432no—
1327C2×Q8—432no—
1328C2×Q8—416no—
1329C2×Q8—816no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—432no—
1397C2×D4—416no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—41no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—41no—
1450C22×C4—42no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—41no—
1458C22×C4—42no—
1459C22×C4—41no—
1460C22×C4—42no—
1461C22×C4—41no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—432no—
1465C22×C4—416no—
1466C22×C4H(5,𝔽2)14yes—
1467C22×C4H(5,𝔽2)14yes—
1468C22×C4H(5,𝔽2)14yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2514yes—
1478C22×C4C2514yes—
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2514yes—
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2514yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—44no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—42no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—24no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—22no—
1551C22⋊C4—22no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C42−1+414yescomplemented
1614C42—22no—
1615C42—22no—
1616C42—22no—
1617C42—22no—
1618C42—22no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—24no—
1623C42—24no—
1624C42—24no—
1625C42—24no—
1626C42—24no—
1627C42—24no—
1628C42—44no—
1629C42—44no—
1630C42—42no—
1631C42—44no—
1632C42—42no—
1633C42—44no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—22no—
1646C23—22no—
1647C23—21no—
1648C23—21no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—21no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—21no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—21no—
1679C23—44no—
1680C23—44no—
1681C23—44no—
1682C23—48no—
1683C23—44no—
1684C23—82no—
1685C23—82no—
1686C23—82no—
1687C23—84no—
1688C23—84no—
1689C23—84no—
1690C23—84no—
1691C23—84no—
1692C23—84no—
1693C23C2×H(5,𝔽2)12yes—
1694C23C2×H(5,𝔽2)12yes—
1695C23C2×H(5,𝔽2)12yes—
1696C23C2×2−1+412yes—
1697C23C2611yescharacteristic
1698Q8—416no—
1699Q8—48no—
1700Q8—48no—
1701Q8—44no—
1702Q8—48no—
1703Q8—44no—
1704Q8—44no—
1705Q8—44no—
1706Q8—84no—
1707Q8—88no—
1708Q8—84no—
1709Q8—88no—
1710Q8—164no—
1711D4—48no—
1712D4—48no—
1713D4—48no—
1714D4—416no—
1715D4—48no—
1716D4—48no—
1717D4—48no—
1718D4—48no—
1719D4—44no—
1720D4—44no—
1721D4—44no—
1722D4—44no—
1723D4—84no—
1724D4—84no—
1725D4—84no—
1726D4—84no—
1727D4—84no—
1728D4—84no—
1729D4—84no—
1730D4—84no—
1731D4—164no—
1732D4—164no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—24no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—24no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—21no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—24no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—48no—
1812C2×C4—48no—
1813C2×C4—48no—
1814C2×C4—48no—
1815C2×C4—416no—
1816C2×C4—416no—
1817C2×C4—44no—
1818C2×C4—48no—
1819C2×C4—44no—
1820C2×C4—44no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—48no—
1824C2×C4—48no—
1825C2×C4—48no—
1826C2×C4—48no—
1827C2×C4—84no—
1828C2×C4—82no—
1829C2×C4—84no—
1830C2×C4H(3,𝔽4)116yes—
1831C2×C4C2×H(5,𝔽2)12yes—
1832C2×C4C2×H(5,𝔽2)12yes—
1833C2×C4C2×H(5,𝔽2)12yes—
1834C2×C4C2×H(5,𝔽2)12yes—
1835C2×C4C2×H(5,𝔽2)12yes—
1836C2×C4C2×H(5,𝔽2)12yes—
1837C2×C4C2×2−1+412yes—
1838C2×C4C2×2−1+412yes—
1839C2×C4#58512yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—42no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—41no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—41no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—41no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—41no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—88no—
1889C22—816no—
1890C22C2×H(3,𝔽4)14yes—
1891C22C22×H(5,𝔽2)11yescharacteristic
1892C22C22×H(5,𝔽2)11yescharacteristic
1893C22C22×H(5,𝔽2)11yescharacteristic
1894C22C22×2−1+411yescharacteristic
1895C22C2×#58511yescharacteristic
1896C22H(7,𝔽2)11yescharacteristic
1897C222−1+611yescharacteristic
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—42no—
1902C4—42no—
1903C4—44no—
1904C4—42no—
1905C4—42no—
1906C4—44no—
1907C4—41no—
1908C4—44no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—42no—
1913C4—42no—
1914C4—42no—
1915C4—42no—
1916C4—44no—
1917C4—41no—
1918C4—42no—
1919C4—42no—
1920C4—41no—
1921C4—41no—
1922C4—42no—
1923C4—42no—
1924C4C2×H(3,𝔽4)14yes—
1925C4C2×H(3,𝔽4)14yes—
1926C2—24no—
1927C2—42no—
1928C2—82no—
1929C2—82no—
1930C2—81no—
1931C2—82no—
1932C2—82no—
1933C2C22×H(3,𝔽4)11yescharacteristic
1934C2#6283511yescharacteristic
1935C2#6287811yescharacteristic
1936C2#6292411yescharacteristic
1937C2#6294211yescharacteristic
1938C2#6294411yescharacteristic
1939C2#6296011yescharacteristic
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. #53144C2semidirect
2. #53144C2semidirect
3. #53080C2semidirect
4. #53046C2semidirect
5. #53046C2semidirect
6. #53005C2semidirect
7. #52990C2semidirect
8. #52958C2semidirect
9. #52753C2semidirect
10. #52395C2semidirect
11. #46099C2semidirect
12. #46054C2semidirect
13. #46043C2semidirect
14. #46031C2semidirect
15. #46016C2semidirect
16. #46004C2semidirect
17. #45667C2semidirect
18. #45601C2semidirect
19. #45601C2semidirect
20. #45494C2semidirect
21. #35660C2semidirect
22. #35660C2semidirect
23. #35659C2semidirect
24. #35628C2semidirect
25. #35592C2semidirect
26. #35542C2semidirect
27. #35312C2semidirect
28. #35305C2semidirect
29. #35289C2semidirect
30. #35251C2semidirect
31. #35180C2semidirect
32. #35158C2semidirect
33. #34813C2semidirect
34. C2×#2492C2semidirect
35. #34738C2semidirect
36. C22×2−1+4C22semidirect
38. C2×#544C22semidirect
43. C2×#533C22semidirect
46. C22×C4⋊Q8C22semidirect
50. #2862C22semidirect
51. #2862C22semidirect
52. #2861C22semidirect
53. #2858C22semidirect
54. #2850C22semidirect
55. #2850C22semidirect
60. #2844C22semidirect
62. #2835C22semidirect
63. #2835C22semidirect
64. #2832C22semidirect
65. #2832C22semidirect
66. #2832C22semidirect
67. #2832C22semidirect
68. #2832C22semidirect
69. #2832C22semidirect
70. #2832C22semidirect
71. #2828C22semidirect
72. #2828C22semidirect
74. #2824C22semidirect
75. #2824C22semidirect
76. #2824C22semidirect
77. #2824C22semidirect
78. #2819C22semidirect
79. #2819C22semidirect
80. #2811C22semidirect
83. #2804C22semidirect
84. #2804C22semidirect
85. #2804C22semidirect
86. #2785C22semidirect
88. #2782C22semidirect
89. #2782C22semidirect
90. #2782C22semidirect
93. #2763C22semidirect
94. #2763C22semidirect
95. #2763C22semidirect
96. #2763C22semidirect
97. #2763C22semidirect
98. #2763C22semidirect
100. #2753C22semidirect
101. #2753C22semidirect
102. #2753C22semidirect
103. #2753C22semidirect
104. #2753C22semidirect
106. #2733C22semidirect
107. #2733C22semidirect
108. #2712C22semidirect
109. #2712C22semidirect
110. #2712C22semidirect
111. #2712C22semidirect
112. #2712C22semidirect
113. #2712C22semidirect
114. #2712C22semidirect
120. #2642C22semidirect
121. #2640C22semidirect
122. #2640C22semidirect
123. #2640C22semidirect
124. #2639C22semidirect
125. #2639C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2592C22semidirect
133. #2592C22semidirect
134. #2591C22semidirect
135. #2568C22semidirect
136. #2568C22semidirect
137. #2568C22semidirect
139. #2563C22semidirect
140. #2563C22semidirect
141. #2563C22semidirect
143. #2562C22semidirect
144. #2562C22semidirect
145. #2562C22semidirect
146. #2548C22semidirect
147. #2547C22semidirect
148. #2547C22semidirect
149. #2547C22semidirect
150. #2547C22semidirect
151. #2504C22semidirect
158. #2492C22semidirect
159. #2492C22semidirect
160. #2492C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
164. #2492C22semidirect
165. #2492C22semidirect
166. #2492C22semidirect
167. #2492C22semidirect
168. #2492C22semidirect
169. #2492C22semidirect
170. #2492C22semidirect
171. #2492C22semidirect
172. #2492C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2491C22semidirect
177. #2491C22semidirect
178. #2491C22semidirect
179. #2491C22semidirect
180. #2491C22semidirect
181. #2491C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
188. #2489C22semidirect
189. #2489C22semidirect
190. #2489C22semidirect
191. #2489C22semidirect
192. #2489C22semidirect
193. #2489C22semidirect
194. #2489C22semidirect
195. #2489C22semidirect
196. #2488C22semidirect
197. #2488C22semidirect
198. #2488C22semidirect
199. #2488C22semidirect
200. #2488C22semidirect
201. #2488C22semidirect
202. #2488C22semidirect
207. #2436C22semidirect
208. #2436C22semidirect
209. #2436C22semidirect
210. #2436C22semidirect
215. #2434C22semidirect
216. #2434C22semidirect
222. #2432C22semidirect
223. #2432C22semidirect
226. #2431C22semidirect
227. #2431C22semidirect
231. #2430C22semidirect
232. #2430C22semidirect
233. #2430C22semidirect
234. #2430C22semidirect
241. #2409C22semidirect
242. #2409C22semidirect
243. #2409C22semidirect
244. #2409C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
259. #2406C22semidirect
263. #2398C22semidirect
264. C2×#400C22semidirect
269. #2379C22semidirect
270. #2379C22semidirect
276. #2311C22semidirect
277. #2311C22semidirect
278. #2311C22semidirect
279. #2311C22semidirect
280. #2310C22semidirect
282. C4×#124C22semidirect
287. #2297C22semidirect
288. #2297C22semidirect
289. C2×#391C22semidirect
290. C2×#391C22semidirect
291. C2×#391C22semidirect
295. #2274C22semidirect
296. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect
1613. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
#531442
#530802
#530462
#530052
#529902
#529582
#527532
#523952
#460992
#460542
#460432
#460312
#460162
#460042
#456672
#456012
#454942
#356602
#356592
#356282
#355922
#355422
#353122
#353052
#352892
#352512
#351802
#351582
#348132
C2×#24922
#347382