Finite Group Databasebeta

← #7801169

Subgroups — #7801169

Order 512.

5882 conjugacy classes of subgroups.

The subgroup lattice has 1677 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59304C212yesmaximal, complemented
2#59129C212yesmaximal, complemented
3#49852C214yesmaximal, complemented
4#49808C214yesmaximal, complemented
5#48481C214yesmaximal, complemented
6#48121C214yesmaximal, complemented
7#45434C211yesmaximal, characteristic, complemented
8#45356C211yesmaximal, characteristic, complemented
9#44963C211yesmaximal, characteristic, complemented
10#44932C211yesmaximal, characteristic, complemented
11#44184C214yesmaximal, complemented
12#44134C214yesmaximal, complemented
13#43107C214yesmaximal, complemented
14#42999C214yesmaximal, complemented
15#40214C212yesmaximal, complemented
16#39396C212yesmaximal, complemented
17#39185C211yesmaximal, characteristic, complemented
18#38952C211yesmaximal, characteristic, complemented
19#38909C212yesmaximal, complemented
20#38024C212yesmaximal, complemented
21#37348C212yesmaximal, complemented
22#36509C211yesmaximal, characteristic, complemented
23#36260C211yesmaximal, characteristic, complemented
24#36029C211yesmaximal, characteristic, complemented
25#35728C211yesmaximal, characteristic, complemented
26#35701C211yesmaximal, characteristic, complemented
27#35693C211yesmaximal, characteristic, complemented
28#35268C211yesmaximal, characteristic, complemented
29#34880C211yesmaximal, characteristic, complemented
30#34476C212yesmaximal, complemented
31#34207C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic, complemented
33C2×#553C2214yescomplemented
34C2×#550C2211yescharacteristic
35C2×#550C2212yescomplemented
36C2×#547C2211yescharacteristic
37C2×#546C2212yes—
38C2×#546C2214yes—
39C2×#546C2212yes—
40C2×D42C2211yescharacteristic
41C2×#538C2214yescomplemented
42C2×#532C2211yescharacteristic
43C2×#529C2212yescomplemented
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic, complemented
46#2864C2211yescharacteristic, complemented
47#2860C2212yescomplemented
48#2858C2211yescharacteristic
49#2856C2212yes—
50#2855C2212yescomplemented
51#2803C2214yescomplemented
52#2796C2214yescomplemented
53#2768C2214yescomplemented
54#2768C2214yescomplemented
55#2756C2214yescomplemented
56#2748C2214yescomplemented
57#2740C2214yescomplemented
58#2732C2214yescomplemented
59#2730C2214yescomplemented
60#2727C2214yescomplemented
61#2718C2214yescomplemented
62#2718C2214yescomplemented
63#2714C2214yescomplemented
64#2711C2214yescomplemented
65#2711C2214yescomplemented
66#2710C2214yescomplemented
67#2707C2214yescomplemented
68#2705C2214yescomplemented
69#2704C2214yescomplemented
70#2703C2214yescomplemented
71#2701C2214yescomplemented
72#2699C2214yescomplemented
73#2695C2214yescomplemented
74#2694C2214yescomplemented
75#2691C2214yescomplemented
76#2691C2214yescomplemented
77#2691C2214yescomplemented
78#2686C2214yescomplemented
79#2685C2214yescomplemented
80#2678C2214yescomplemented
81#2676C2214yescomplemented
82#2672C2214yescomplemented
83#2672C2214yescomplemented
84#2671C2214yes—
85#2671C2214yescomplemented
86#2671C2214yescomplemented
87#2671C2214yescomplemented
88#2671C2214yescomplemented
89#2669C2214yes—
90#2669C2214yescomplemented
91#2651C2214yescomplemented
92#2638C2212yescomplemented
93#2636C2214yescomplemented
94#2633C2212yescomplemented
95#2628C2211yescharacteristic, complemented
96#2624C2212yescomplemented
97#2624C2212yescomplemented
98#2620C2212yescomplemented
99#2619C2211yescharacteristic
100#2619C2212yescomplemented
101#2618C2212yes—
102#2611C2212yescomplemented
103#2610C2214yescomplemented
104#2598C2212yescomplemented
105#2592C2212yescomplemented
106#2590C2214yescomplemented
107#2589C2214yescomplemented
108#2583C2212yescomplemented
109#2582C2212yescomplemented
110#2567C2211yescharacteristic, complemented
111#2556C2212yescomplemented
112#2556C2214yescomplemented
113#2555C2212yescomplemented
114#2554C2214yescomplemented
115#2554C2212yescomplemented
116#2553C2212yescomplemented
117#2552C2212yescomplemented
118#2549C2214yescomplemented
119#2548C2211yescharacteristic
120#2548C2212yescomplemented
121#2544C2214yescomplemented
122#2544C2212yescomplemented
123#2543C2212yes—
124#2542C2211yescharacteristic
125#2541C2211yescharacteristic
126#2541C2212yescomplemented
127#2540C2214yes—
128#2540C2212yescomplemented
129#2539C2214yes—
130#2539C2214yes—
131#2538C2212yes—
132#2537C2212yes—
133#2536C2211yescharacteristic
134#2536C2211yescharacteristic
135#2535C2211yescharacteristic
136#2535C2211yescharacteristic, complemented
137#2535C2212yescomplemented
138#2534C2214yescomplemented
139#2521C2212yescomplemented
140#2521C2214yescomplemented
141#2519C2212yescomplemented
142#2516C2214yescomplemented
143#2515C2214yescomplemented
144#2501C2212yes—
145#2501C2212yescomplemented
146#2496C2212yescomplemented
147#2496C2212yescomplemented
148#2487C2214yescomplemented
149#2476C2214yescomplemented
150#2470C2214yescomplemented
151#2467C2214yescomplemented
152#2467C2214yescomplemented
153#2466C2214yes—
154#2464C2212yes—
155#2464C2214yescomplemented
156#2463C2214yescomplemented
157#2461C2212yes—
158#2459C2214yescomplemented
159#2456C2214yescomplemented
160#2456C2214yescomplemented
161#2455C2214yescomplemented
162#2455C2214yescomplemented
163#2454C2214yescomplemented
164#2454C2214yescomplemented
165#2449C2214yescomplemented
166#2445C2214yescomplemented
167#2444C2214yescomplemented
168#2443C2214yescomplemented
169#2443C2214yescomplemented
170#2441C2214yescomplemented
171#2437C2214yescomplemented
172#2433C2212yes—
173#2432C2212yescomplemented
174#2429C2212yescomplemented
175#2428C2212yes—
176#2428C2214yescomplemented
177#2428C2214yescomplemented
178#2428C2214yescomplemented
179#2428C2212yescomplemented
180#2427C2214yescomplemented
181#2426C2212yes—
182#2424C2214yes—
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2424C2214yescomplemented
186#2423C2212yescomplemented
187#2422C2214yescomplemented
188#2422C2212yescomplemented
189#2418C2214yes—
190#2418C2214yescomplemented
191#2417C2212yescomplemented
192#2416C2212yes—
193#2416C2212yescomplemented
194#2416C2212yescomplemented
195#2416C2214yescomplemented
196#2412C2214yescomplemented
197#2411C2214yes—
198#2410C2214yes—
199#2408C2212yes—
200#2408C2212yes—
201#2407C2212yes—
202#2407C2214yes—
203#2407C2212yes—
204#2407C2212yescomplemented
205#2406C2212yes—
206#2399C2211yescharacteristic, complemented
207#2397C2211yescharacteristic
208#2397C2212yescomplemented
209#2392C2211yescharacteristic
210#2392C2211yescharacteristic, complemented
211#2392C2212yescomplemented
212#2388C2212yes—
213C2×#394C2212yes—
214#2377C2214yescomplemented
215#2376C2214yescomplemented
216#2373C2214yescomplemented
217#2367C2212yes—
218#2361C2212yes—
219#2361C2214yescomplemented
220#2361C2214yescomplemented
221#2360C2212yescomplemented
222#2358C2214yescomplemented
223#2358C2214yescomplemented
224#2357C2211yescharacteristic, complemented
225#2356C2211yescharacteristic, complemented
226#2354C2214yescomplemented
227#2354C2212yescomplemented
228#2351C2211yescharacteristic, complemented
229#2349C2211yescharacteristic
230D4×C4⋊C4C2212yescomplemented
231D4×C4⋊C4C2212yescomplemented
232D4×C4⋊C4C2212yescomplemented
233D4×C4⋊C4C2214yescomplemented
234#2342C2214yescomplemented
235#2341C2212yescomplemented
236D4×C22⋊C4C2212yes—
237#2335C2214yescomplemented
238#2335C2214yescomplemented
239#2331C2211yescharacteristic, complemented
240#2328C2211yescharacteristic
241#2326C2211yescharacteristic
242#2326C2211yescharacteristic
243#2326C2211yescharacteristic, complemented
244#2326C2211yescharacteristic, complemented
245#2324C2212yes—
246#2324C2214yescomplemented
247#2321C2214yescomplemented
248#2319C2212yescomplemented
249#2315C2214yescomplemented
250#2311C2211yescharacteristic
251#2311C2212yescomplemented
252#2311C2211yescharacteristic, complemented
253C4×C4⋊Q8C2211yescharacteristic, complemented
254C4×C4⋊Q8C2211yescharacteristic, complemented
255C4×#127C2211yescharacteristic
256C4×#127C2211yescharacteristic
257C4×#124C2212yescomplemented
258C4×C22⋊Q8C2212yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261#2293C2211yescharacteristic, complemented
262C2×#390C2212yes—
263#2290C2212yescomplemented
264C2×#384C2211yescharacteristic, complemented
265C42×D4C2211yescharacteristic
266C4×#117C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2311yescharacteristic
269C22×#41C2312yes—
270C22×#41C2312yes—
271C23×D4C2312yes—
272C23×D4C2312yes—
273#554—44no—
274#553—416no—
275#550—44no—
276#550—48no—
277#547—44no—
278#546—216no—
279#546—416no—
280#546—48no—
281D42—44no—
282#538—416no—
283#532—28no—
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2314yes—
291#529—48no—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#126C2312yes—
295C2×#126C2312yes—
296C2×#126C2314yes—
297C2×#125C2312yes—
298C2×#125C2312yes—
299C2×#125C2314yes—
300C2×#124C2311yescharacteristic
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2314yes—
304C2×#124C2314yes—
305C2×#124C2312yes—
306C2×#124C2311yescharacteristic
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2312yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355#520—44no—
356#520—44no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C22⋊C4C2314yes—
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#399C2314yes—
415#399C2312yes—
416#399C2312yes—
417#399C2314yes—
418#399C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2312yes—
423#399C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2311yescharacteristic
430#398C2312yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2311yescharacteristic
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2311yescharacteristic
445#397C2311yescharacteristic
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#395C2312yes—
463#395C2312yes—
464#395C2312yes—
465#395C2312yes—
466#395C2312yes—
467#394C2311yescharacteristic
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2311yescharacteristic
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#393C2314yes—
503#393C2312yes—
504#392C2312yes—
505#392C2312yes—
506#392C2312yes—
507#392C2312yes—
508#392C2314yes—
509#392C2312yes—
510#392C2312yes—
511#392C2314yes—
512#392C2311yescharacteristic
513#392C2314yes—
514#392C2311yescharacteristic
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2314yes—
688#383C2312yes—
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2312yes—
693#381C2314yes—
694#381C2314yes—
695#381C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2312yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2314yes—
712#380C2312yes—
713#379C2314yes—
714#379C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2312yes—
742#376C2311yescharacteristic
743#376C2311yescharacteristic
744#376C2312yes—
745C2×#95C2312yes—
746C43C2311yescharacteristic
747C43C2311yescharacteristic
748C25C2414yes—
749C2×#41—24no—
750C2×#41—28no—
751C2×#41—24no—
752C2×#41—24no—
753C2×#41—24no—
754C2×#41—48no—
755C2×#41—42no—
756C2×#41—42no—
757C2×#41—44no—
758C2×#41—44no—
759C2×#41—44no—
760C22×Q8C2411yescharacteristic
761C22×Q8C2411yescharacteristic
762C22×Q8C2412yes—
763C22×Q8C2412yes—
764C22×D4—28no—
765C22×D4—44no—
766C22×D4—44no—
767C22×D4—44no—
768C22×D4—48no—
769C22×D4C2411yescharacteristic
770C22×D4C2411yescharacteristic
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2411yescharacteristic
779C22×D4C2411yescharacteristic
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2414yes—
803C23×C4C2414yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2414yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2412yes—
811C23×C4C2414yes—
812C4⋊Q8—24no—
813C4⋊Q8—24no—
814#127—24no—
815#127—24no—
816#127—44no—
817#127—44no—
818#127—48no—
819#126—216no—
820#126—48no—
821#126—44no—
822#126—44no—
823#126—48no—
824#125—44no—
825#125—44no—
826#125—48no—
827#124—28no—
828#124—24no—
829#124—48no—
830#124—48no—
831#124—44no—
832#124—44no—
833#124#4118yescomplemented
834#123—216no—
835#123—216no—
836#123—44no—
837#123—48no—
838#123—48no—
839#123—48no—
840#123—48no—
841#123—44no—
842#123—48no—
843#123—48no—
844C22⋊Q8—28no—
845C22⋊Q8—44no—
846C22⋊Q8—48no—
847C22⋊Q8—48no—
848C22⋊Q8—48no—
849C22⋊Q8—44no—
850C22⋊Q8—44no—
851C22⋊Q8—44no—
852#121—28no—
853#121—28no—
854#121—216no—
855#121—216no—
856#121—28no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—44no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—44no—
870#121—44no—
871#121—48no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—48no—
876#120—216no—
877#120—216no—
878#120—48no—
879#120—48no—
880#120—48no—
881#120—48no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—44no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×Q8—44no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—216no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—48no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—48no—
904C4×D4—44no—
905C4×D4—48no—
906C4×D4—44no—
907C4×D4—48no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4—48no—
916#117—24no—
917#117—24no—
918#117—44no—
919#117—44no—
920#117—44no—
921#117—48no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—48no—
928C2×C4⋊C4—44no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C22⋊C4—216no—
983C2×C22⋊C4—48no—
984C2×C22⋊C4—48no—
985C2×C22⋊C4—48no—
986C2×C22⋊C4—48no—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C42—24no—
1055C2×C42—44no—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2414yes—
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123C24—28no—
1124C24—28no—
1125C24—44no—
1126C24—44no—
1127C24—44no—
1128C24—44no—
1129C24—44no—
1130C24C2514yes—
1131C24C2512yes—
1132C24C2512yes—
1133C24C2512yes—
1134C24C2512yes—
1135C24C2511yescharacteristic
1136#41—416no—
1137#41—416no—
1138#41—816no—
1139#41—816no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—42no—
1148C2×Q8—44no—
1149C2×Q8—42no—
1150C2×Q8C2×#4114yes—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—24no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—28no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—28no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—24no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—816no—
1219C2×D4—816no—
1220C2×D4C2×#4114yes—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4H(5,𝔽2)14yes—
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4C2×#41116yes—
1416C22⋊C4H(5,𝔽2)18yes—
1417C42—24no—
1418C42—22no—
1419C42—22no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—28no—
1427C42—24no—
1428C42—24no—
1429C42—42no—
1430C42—42no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42C2×#4114yes—
1439C42H(5,𝔽2)14yes—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—24no—
1453C23—22no—
1454C23—22no—
1455C23—24no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23—24no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—24no—
1465C23—24no—
1466C23—22no—
1467C23—24no—
1468C23—24no—
1469C23—24no—
1470C23—22no—
1471C23—24no—
1472C23—22no—
1473C23—416no—
1474C23—88no—
1475C23—88no—
1476C23—88no—
1477C23—88no—
1478C23—164no—
1479C23—164no—
1480C23C22×#4114yes—
1481C23C2×H(5,𝔽2)12yes—
1482C23C2×H(5,𝔽2)14yes—
1483C23C2611yescharacteristic
1484Q8—28no—
1485Q8—44no—
1486Q8—84no—
1487Q8—84no—
1488D4—28no—
1489D4—28no—
1490D4—48no—
1491D4—416no—
1492D4—48no—
1493D4—48no—
1494D4—44no—
1495D4—48no—
1496D4—48no—
1497D4—48no—
1498D4—44no—
1499D4—84no—
1500D4—88no—
1501D4—84no—
1502D4—88no—
1503D4—88no—
1504D4—88no—
1505D4—84no—
1506D4—88no—
1507D4—88no—
1508D4—88no—
1509D4—164no—
1510D4—164no—
1511D4—164no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—28no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—48no—
1575C2×C4—88no—
1576C2×C4—84no—
1577C2×C4—84no—
1578C2×C4—88no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—88no—
1582C2×C4—162no—
1583C2×C4—162no—
1584C2×C4—164no—
1585C2×C4—162no—
1586C2×C4—162no—
1587C2×C4—164no—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4114yes—
1590C2×C4C22×#4112yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×H(5,𝔽2)14yes—
1593C2×C4C2×H(5,𝔽2)14yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C2×C4C2×H(5,𝔽2)12yes—
1598C22—28no—
1599C22—24no—
1600C22—22no—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—44no—
1615C22—44no—
1616C22—44no—
1617C22—42no—
1618C22—42no—
1619C22—44no—
1620C22—42no—
1621C22—42no—
1622C22—44no—
1623C22—42no—
1624C22—42no—
1625C22—44no—
1626C22—42no—
1627C22—44no—
1628C22—42no—
1629C22—42no—
1630C22—44no—
1631C22—42no—
1632C22—44no—
1633C22—44no—
1634C22—1616no—
1635C22C23×#4111yescharacteristic
1636C22C22×H(5,𝔽2)12yes—
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C222−1+612yes—
1640C4—24no—
1641C4—24no—
1642C4—22no—
1643C4—24no—
1644C4—22no—
1645C4—22no—
1646C4—24no—
1647C4—44no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4—42no—
1663C4—42no—
1664C4#351914yes—
1665C2—42no—
1666C2—44no—
1667C2—44no—
1668C2—82no—
1669C2—82no—
1670C2—84no—
1671C2C2×#351911yescharacteristic
1672C2#6283211yescharacteristic
1673C2#6288711yescharacteristic
1674C2#6291412yes—
1675C2#6298512yes—
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. #59304C2semidirect
2. #59129C2semidirect
3. #49852C2semidirect
4. #49808C2semidirect
5. #48481C2semidirect
6. #48121C2semidirect
7. #45434C2semidirect
8. #45356C2semidirect
9. #44963C2semidirect
10. #44932C2semidirect
11. #44184C2semidirect
12. #44134C2semidirect
13. #43107C2semidirect
14. #42999C2semidirect
15. #40214C2semidirect
16. #39396C2semidirect
17. #39185C2semidirect
18. #38952C2semidirect
19. #38909C2semidirect
20. #38024C2semidirect
21. #37348C2semidirect
22. #36509C2semidirect
23. #36260C2semidirect
24. #36029C2semidirect
25. #35728C2semidirect
26. #35701C2semidirect
27. #35693C2semidirect
28. #35268C2semidirect
29. #34880C2semidirect
30. #34476C2semidirect
31. #34207C2semidirect
32. C2×#554C22semidirect
33. C2×#553C22semidirect
35. C2×#550C22semidirect
41. C2×#538C22semidirect
43. C2×#529C22semidirect
45. C2×#520C22semidirect
46. #2864C22semidirect
47. #2860C22semidirect
50. #2855C22semidirect
51. #2803C22semidirect
52. #2796C22semidirect
53. #2768C22semidirect
54. #2768C22semidirect
55. #2756C22semidirect
56. #2748C22semidirect
57. #2740C22semidirect
58. #2732C22semidirect
59. #2730C22semidirect
60. #2727C22semidirect
61. #2718C22semidirect
62. #2718C22semidirect
63. #2714C22semidirect
64. #2711C22semidirect
65. #2711C22semidirect
66. #2710C22semidirect
67. #2707C22semidirect
68. #2705C22semidirect
69. #2704C22semidirect
70. #2703C22semidirect
71. #2701C22semidirect
72. #2699C22semidirect
73. #2695C22semidirect
74. #2694C22semidirect
75. #2691C22semidirect
76. #2691C22semidirect
77. #2691C22semidirect
78. #2686C22semidirect
79. #2685C22semidirect
80. #2678C22semidirect
81. #2676C22semidirect
82. #2672C22semidirect
83. #2672C22semidirect
85. #2671C22semidirect
86. #2671C22semidirect
87. #2671C22semidirect
88. #2671C22semidirect
90. #2669C22semidirect
91. #2651C22semidirect
92. #2638C22semidirect
93. #2636C22semidirect
94. #2633C22semidirect
95. #2628C22semidirect
96. #2624C22semidirect
97. #2624C22semidirect
98. #2620C22semidirect
100. #2619C22semidirect
102. #2611C22semidirect
103. #2610C22semidirect
104. #2598C22semidirect
105. #2592C22semidirect
106. #2590C22semidirect
107. #2589C22semidirect
108. #2583C22semidirect
109. #2582C22semidirect
110. #2567C22semidirect
111. #2556C22semidirect
112. #2556C22semidirect
113. #2555C22semidirect
114. #2554C22semidirect
115. #2554C22semidirect
116. #2553C22semidirect
117. #2552C22semidirect
118. #2549C22semidirect
120. #2548C22semidirect
121. #2544C22semidirect
122. #2544C22semidirect
126. #2541C22semidirect
128. #2540C22semidirect
136. #2535C22semidirect
137. #2535C22semidirect
138. #2534C22semidirect
139. #2521C22semidirect
140. #2521C22semidirect
141. #2519C22semidirect
142. #2516C22semidirect
143. #2515C22semidirect
145. #2501C22semidirect
146. #2496C22semidirect
147. #2496C22semidirect
148. #2487C22semidirect
149. #2476C22semidirect
150. #2470C22semidirect
151. #2467C22semidirect
152. #2467C22semidirect
155. #2464C22semidirect
156. #2463C22semidirect
158. #2459C22semidirect
159. #2456C22semidirect
160. #2456C22semidirect
161. #2455C22semidirect
162. #2455C22semidirect
163. #2454C22semidirect
164. #2454C22semidirect
165. #2449C22semidirect
166. #2445C22semidirect
167. #2444C22semidirect
168. #2443C22semidirect
169. #2443C22semidirect
170. #2441C22semidirect
171. #2437C22semidirect
173. #2432C22semidirect
174. #2429C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2427C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2423C22semidirect
187. #2422C22semidirect
188. #2422C22semidirect
190. #2418C22semidirect
191. #2417C22semidirect
193. #2416C22semidirect
194. #2416C22semidirect
195. #2416C22semidirect
196. #2412C22semidirect
204. #2407C22semidirect
206. #2399C22semidirect
208. #2397C22semidirect
210. #2392C22semidirect
211. #2392C22semidirect
214. #2377C22semidirect
215. #2376C22semidirect
216. #2373C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2360C22semidirect
222. #2358C22semidirect
223. #2358C22semidirect
224. #2357C22semidirect
225. #2356C22semidirect
226. #2354C22semidirect
227. #2354C22semidirect
228. #2351C22semidirect
230. D4×C4⋊C4C22semidirect
231. D4×C4⋊C4C22semidirect
232. D4×C4⋊C4C22semidirect
233. D4×C4⋊C4C22semidirect
234. #2342C22semidirect
235. #2341C22semidirect
237. #2335C22semidirect
238. #2335C22semidirect
239. #2331C22semidirect
243. #2326C22semidirect
244. #2326C22semidirect
246. #2324C22semidirect
247. #2321C22semidirect
248. #2319C22semidirect
249. #2315C22semidirect
251. #2311C22semidirect
252. #2311C22semidirect
253. C4×C4⋊Q8C22semidirect
254. C4×C4⋊Q8C22semidirect
257. C4×#124C22semidirect
258. C4×C22⋊Q8C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. #2293C22semidirect
263. #2290C22semidirect
264. C2×#384C22semidirect
266. C4×#117C22semidirect
833. #124#41semidirect

Maximal subgroups

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

subgroupindex
#593042
#591292
#498522
#498082
#484812
#481212
#454342
#453562
#449632
#449322
#441842
#441342
#431072
#429992
#402142
#393962
#391852
#389522
#389092
#380242
#373482
#365092
#362602
#360292
#357282
#357012
#356932
#352682
#348802
#344762
#342072