Finite Group Databasebeta

← #7680465

Subgroups — #7680465

Order 512.

5300 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59962C212yesmaximal, complemented
2#59580C212yesmaximal, complemented
3#59545C212yesmaximal, complemented
4#59510C212yesmaximal, complemented
5#59480C212yesmaximal, complemented
6#59480C212yesmaximal, complemented
7#59466C212yesmaximal, complemented
8#59446C212yesmaximal, complemented
9#44443C214yesmaximal, complemented
10#44339C214yesmaximal, complemented
11#43480C214yesmaximal, complemented
12#43455C214yesmaximal, complemented
13#39736C211yesmaximal, characteristic, complemented
14#39607C211yesmaximal, characteristic, complemented
15#39057C212yesmaximal, complemented
16#39041C212yesmaximal, complemented
17#38966C211yesmaximal, characteristic, complemented
18#38952C211yesmaximal, characteristic, complemented
19#37851C212yesmaximal, complemented
20#37671C212yesmaximal, complemented
21#36477C211yesmaximal, characteristic, complemented
22#36463C211yesmaximal, characteristic, complemented
23#36154C211yesmaximal, characteristic, complemented
24#36101C211yesmaximal, characteristic
25#35654C212yesmaximal, complemented
26#35591C212yesmaximal, complemented
27#35302C212yesmaximal, complemented
28#35288C211yesmaximal, characteristic, complemented
29#34941C211yesmaximal, characteristic, complemented
30#34934C211yesmaximal, characteristic, complemented
31#34317C211yesmaximal, characteristic, complemented
32#34313C211yesmaximal, characteristic, complemented
33#34202C212yesmaximal, complemented
34D4×#117C211yesmaximal, characteristic, complemented
35C4×#541C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#541C2211yescharacteristic
39C2×#529C2212yescomplemented
40C2×#525C2212yes—
41C2×#520C2212yescomplemented
42C22×C4×D4C2211yescharacteristic
43C22×#117C2212yes—
44#2859C2211yescharacteristic, complemented
45#2858C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2855C2212yescomplemented
49#2854C2212yescomplemented
50#2848C2212yes—
51#2847C2212yes—
52#2793C2214yescomplemented
53#2790C2214yescomplemented
54#2781C2214yescomplemented
55#2768C2214yescomplemented
56#2761C2214yescomplemented
57#2761C2214yescomplemented
58#2761C2214yescomplemented
59#2755C2214yescomplemented
60#2749C2214yes—
61#2749C2214yes—
62#2748C2214yescomplemented
63#2748C2214yescomplemented
64#2747C2214yescomplemented
65#2743C2214yes—
66#2741C2214yescomplemented
67#2740C2214yes—
68#2707C2214yescomplemented
69#2704C2214yes—
70#2694C2214yescomplemented
71#2691C2214yes—
72#2685C2214yes—
73#2685C2214yes—
74#2672C2214yescomplemented
75#2672C2214yescomplemented
76#2644C2212yescomplemented
77#2629C2212yes—
78#2629C2212yescomplemented
79#2624C2212yes—
80#2620C2212yes—
81#2620C2212yescomplemented
82#2609C2214yes—
83#2609C2214yescomplemented
84#2608C2214yescomplemented
85#2601C2214yes—
86#2601C2214yescomplemented
87#2601C2214yescomplemented
88#2600C2214yes—
89#2600C2214yes—
90#2596C2214yescomplemented
91#2587C2214yescomplemented
92#2579C2214yescomplemented
93#2579C2214yescomplemented
94#2577C2214yescomplemented
95#2575C2214yescomplemented
96#2574C2214yescomplemented
97#2570C2212yescomplemented
98#2567C2211yescharacteristic, complemented
99#2566C2212yes—
100#2566C2212yes—
101#2566C2212yescomplemented
102#2566C2214yescomplemented
103#2563C2211yescharacteristic
104#2558C2214yescomplemented
105#2557C2214yescomplemented
106#2554C2214yescomplemented
107#2553C2214yescomplemented
108#2553C2214yescomplemented
109#2552C2211yescharacteristic, complemented
110#2552C2212yescomplemented
111#2552C2211yescharacteristic, complemented
112#2552C2212yescomplemented
113#2548C2211yescharacteristic, complemented
114#2541C2211yescharacteristic
115#2538C2211yescharacteristic
116#2538C2211yescharacteristic
117#2534C2214yes—
118#2534C2214yes—
119#2515C2214yescomplemented
120#2513C2212yescomplemented
121#2513C2212yescomplemented
122#2512C2212yescomplemented
123#2512C2212yescomplemented
124#2512C2212yescomplemented
125#2508C2212yescomplemented
126#2508C2212yescomplemented
127#2507C2212yescomplemented
128#2506C2212yescomplemented
129#2501C2212yescomplemented
130#2498C2214yescomplemented
131#2497C2212yes—
132#2497C2212yes—
133#2497C2212yescomplemented
134#2497C2212yescomplemented
135#2490C2212yes—
136#2490C2212yes—
137#2490C2212yescomplemented
138#2490C2212yescomplemented
139#2487C2212yes—
140#2485C2214yescomplemented
141#2484C2214yescomplemented
142#2479C2214yescomplemented
143#2478C2214yescomplemented
144#2471C2214yes—
145#2471C2214yes—
146#2470C2214yescomplemented
147#2468C2214yes—
148#2468C2214yescomplemented
149#2466C2214yes—
150#2460C2214yescomplemented
151#2460C2214yescomplemented
152#2459C2214yescomplemented
153#2457C2214yes—
154#2457C2214yes—
155#2456C2214yes—
156#2454C2212yes—
157#2454C2212yes—
158#2454C2212yes—
159#2454C2214yescomplemented
160#2454C2214yescomplemented
161#2454C2212yescomplemented
162#2454C2212yescomplemented
163#2454C2212yescomplemented
164#2453C2212yescomplemented
165#2450C2214yes—
166#2448C2212yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2445C2212yes—
170#2445C2212yes—
171#2445C2212yes—
172#2445C2212yes—
173#2445C2212yes—
174#2442C2212yes—
175#2442C2212yescomplemented
176#2441C2212yescomplemented
177#2437C2214yes—
178#2433C2212yes—
179#2432C2212yescomplemented
180#2429C2212yescomplemented
181#2427C2212yes—
182#2426C2212yes—
183#2426C2212yescomplemented
184#2424C2214yes—
185#2423C2212yescomplemented
186#2420C2212yes—
187#2420C2212yes—
188#2420C2212yescomplemented
189#2419C2214yescomplemented
190#2417C2212yes—
191#2414C2212yes—
192#2413C2214yescomplemented
193#2411C2214yes—
194#2411C2214yes—
195#2407C2212yes—
196#2396C2214yescomplemented
197#2392C2214yescomplemented
198#2370C2212yescomplemented
199#2370C2212yescomplemented
200#2369C2211yescharacteristic, complemented
201#2366C2212yes—
202#2366C2212yes—
203#2366C2212yes—
204#2366C2211yescharacteristic, complemented
205#2362C2212yescomplemented
206#2362C2214yescomplemented
207#2361C2212yes—
208#2361C2212yescomplemented
209#2361C2214yescomplemented
210#2359C2214yescomplemented
211#2359C2214yescomplemented
212#2358C2214yes—
213#2358C2214yes—
214#2357C2212yes—
215#2357C2212yes—
216#2357C2212yescomplemented
217#2355C2211yescharacteristic, complemented
218#2354C2211yescharacteristic
219#2354C2211yescharacteristic
220#2354C2211yescharacteristic
221#2354C2214yes—
222#2352C2212yes—
223#2352C2212yes—
224#2352C2214yes—
225#2352C2214yescomplemented
226Q8×C4⋊C4C2211yescharacteristic, complemented
227#2349C2212yes—
228D4×C4⋊C4C2211yescharacteristic
229D4×C4⋊C4C2211yescharacteristic
230D4×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2212yescomplemented
232D4×C4⋊C4C2214yescomplemented
233#2344C2211yescharacteristic
234#2344C2211yescharacteristic
235#2344C2212yescomplemented
236#2342C2212yes—
237#2342C2212yes—
238#2341C2212yescomplemented
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2211yescharacteristic
241D4×C22⋊C4C2211yescharacteristic
242#2336C2212yescomplemented
243#2336C2212yescomplemented
244#2334C2212yes—
245#2334C2212yes—
246#2332C2214yescomplemented
247#2330C2211yescharacteristic, complemented
248#2327C2211yescharacteristic, complemented
249#2324C2212yes—
250#2324C2212yes—
251#2324C2212yescomplemented
252#2324C2214yescomplemented
253#2323C2212yes—
254#2323C2211yescharacteristic
255#2323C2211yescharacteristic
256#2323C2212yescomplemented
257#2320C2211yescharacteristic, complemented
258#2320C2211yescharacteristic, complemented
259#2319C2212yescomplemented
260#2317C2212yescomplemented
261#2314C2211yescharacteristic
262#2311C2212yescomplemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#127C2212yes—
266C4×#127C2212yes—
267C4×#127C2211yescharacteristic, complemented
268C4×#125C2212yescomplemented
269C4×#125C2211yescharacteristic, complemented
270C4×#125C2212yescomplemented
271C4×#125C2212yescomplemented
272C4×#125C2212yescomplemented
273C4×#126C2212yes—
274C4×#126C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281#2293C2211yescharacteristic
282#2293C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2212yescomplemented
286#2293C2212yescomplemented
287#2290C2212yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2285C2212yescomplemented
291#2280C2212yes—
292C2×#380C2212yes—
293#2274C2212yescomplemented
294C42×Q8C2211yescharacteristic, complemented
295C42×Q8C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#554—28no—
303#550—28no—
304#541—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2312yes—
308C2×#127C2312yes—
309C2×#127C2311yescharacteristic
310#529—48no—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326#525—216no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348#520—48no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4—28no—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2311yescharacteristic
384C2×#117—48no—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C2×#117C2314yes—
398C2×#117C2314yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2314yes—
404C22×C4⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2314yes—
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411C22×C42C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#395C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#393C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2314yes—
492#391C2312yes—
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#384C2312yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2314yes—
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#383C2312yes—
701#383C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#381C2314yes—
712#381C2314yes—
713#381C2312yes—
714#381C2312yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#379C2314yes—
745#379C2312yes—
746#379C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2311yescharacteristic
812#376C2311yescharacteristic
813C2×#95C2314yes—
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C25C2412yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×D4—24no—
826C22×D4—24no—
827C22×D4—42no—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C23×C4—28no—
840C23×C4—28no—
841C23×C4—44no—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861#127—28no—
862#127—28no—
863#127—24no—
864#126—28no—
865#126—28no—
866#126—48no—
867#126—84no—
868#125—24no—
869#125—28no—
870#125—28no—
871#125—28no—
872#125—44no—
873#125—44no—
874#125—44no—
875#125—84no—
876#124—44no—
877#124—82no—
878#124—82no—
879#123—216no—
880#123—48no—
881#123—84no—
882#123—84no—
883#123—84no—
884C22⋊Q8—28no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—216no—
888C22⋊Q8—44no—
889C22⋊Q8—82no—
890C22⋊Q8#4118yes—
891#121—28no—
892#121—28no—
893#121—28no—
894#121—216no—
895#121—44no—
896#121—44no—
897#121—82no—
898#120—216no—
899#120—84no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—44no—
907C4×Q8—82no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—216no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—216no—
918C4×D4—24no—
919C4×D4—28no—
920C4×D4—48no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—48no—
928C4×D4—48no—
929C4×D4—84no—
930C4×D4—82no—
931C4×D4—84no—
932C4×D4—84no—
933C4×D4#4118yes—
934#117—24no—
935#117—28no—
936#117—24no—
937#117—28no—
938#117—44no—
939#117—44no—
940#117—48no—
941#117—44no—
942#117—44no—
943#117—44no—
944#117—44no—
945#117—48no—
946#117—84no—
947#117—84no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—48no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C22⋊C4—28no—
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4—44no—
1028C2×C22⋊C4—84no—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C42—24no—
1087C2×C42—28no—
1088C2×C42—44no—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24—24no—
1193C24—24no—
1194C24—24no—
1195C24—42no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24C2514yes—
1200C24C2511yescharacteristic
1201C24C2512yes—
1202C24C2512yes—
1203#41—432no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8C2×#4114yes—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—22no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—416no—
1245C2×D4C2×#4114yes—
1246C2×D42−1+414yes—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—28no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—432no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4C2×#4118yes—
1298C22×C4C2×#4114yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4C2×#4114yes—
1399C4⋊C4C2×#4114yes—
1400C4⋊C4C2×#4118yes—
1401C22⋊C4—24no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4C2×#4118yes—
1457C22⋊C4C2×#4118yes—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—28no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—22no—
1479C42—24no—
1480C42—22no—
1481C42—42no—
1482C42—42no—
1483C42—44no—
1484C42—42no—
1485C42—42no—
1486C42—44no—
1487C42—44no—
1488C42—42no—
1489C42—41no—
1490C42—42no—
1491C42—44no—
1492C42—41no—
1493C42—41no—
1494C42—41no—
1495C42C2×#4114yes—
1496C42H(5,𝔽2)14yes—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—21no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—24no—
1516C23—24no—
1517C23—24no—
1518C23—24no—
1519C23—24no—
1520C23—24no—
1521C23—24no—
1522C23—48no—
1523C23—48no—
1524C23—48no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23—84no—
1529C23C22×#4112yes—
1530C23C22×#4114yes—
1531C23C2×2−1+414yes—
1532C23C2611yescharacteristic
1533Q8—28no—
1534Q8—44no—
1535Q8—84no—
1536D4—28no—
1537D4—28no—
1538D4—416no—
1539D4—416no—
1540D4—48no—
1541D4—48no—
1542D4—48no—
1543D4—84no—
1544D4—88no—
1545D4—88no—
1546D4—88no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—28no—
1562C2×C4—216no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—21no—
1629C2×C4—48no—
1630C2×C4—416no—
1631C2×C4—48no—
1632C2×C4—48no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—44no—
1636C2×C4—82no—
1637C2×C4—84no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—164no—
1643C2×C4—164no—
1644C2×C4C22×#4114yes—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4114yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4114yes—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×2−1+412yes—
1656C2×C4#58512yes—
1657C22—24no—
1658C22—22no—
1659C22—22no—
1660C22—24no—
1661C22—24no—
1662C22—24no—
1663C22—24no—
1664C22—22no—
1665C22—24no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—41no—
1677C22—42no—
1678C22—44no—
1679C22—44no—
1680C22—44no—
1681C22—44no—
1682C22—44no—
1683C22—44no—
1684C22—44no—
1685C22—816no—
1686C22C23×#4111yescharacteristic
1687C22C23×#4111yescharacteristic
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C22×2−1+411yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22H(7,𝔽2)11yescharacteristic
1692C22H(7,𝔽2)11yescharacteristic
1693C4—24no—
1694C4—22no—
1695C4—22no—
1696C4—22no—
1697C4—22no—
1698C4—24no—
1699C4—24no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—44no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4—44no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—42no—
1716C4—41no—
1717C4—44no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4#348114yes—
1723C4#349514yes—
1724C2—44no—
1725C2—44no—
1726C2—42no—
1727C2—84no—
1728C2C2×#348111yescharacteristic
1729C2C2×#349511yescharacteristic
1730C2#6285811yescharacteristic
1731C2#6294411yescharacteristic
1732C2#6295511yescharacteristic
1733C2#6300011yescharacteristic
1734C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36101C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59962C2semidirect
2. #59580C2semidirect
3. #59545C2semidirect
4. #59510C2semidirect
5. #59480C2semidirect
6. #59480C2semidirect
7. #59466C2semidirect
8. #59446C2semidirect
9. #44443C2semidirect
10. #44339C2semidirect
11. #43480C2semidirect
12. #43455C2semidirect
13. #39736C2semidirect
14. #39607C2semidirect
15. #39057C2semidirect
16. #39041C2semidirect
17. #38966C2semidirect
18. #38952C2semidirect
19. #37851C2semidirect
20. #37671C2semidirect
21. #36477C2semidirect
22. #36463C2semidirect
23. #36154C2semidirect
25. #35654C2semidirect
26. #35591C2semidirect
27. #35302C2semidirect
28. #35288C2semidirect
29. #34941C2semidirect
30. #34934C2semidirect
31. #34317C2semidirect
32. #34313C2semidirect
33. #34202C2semidirect
34. D4×#117C2semidirect
35. C4×#541C2semidirect
39. C2×#529C22semidirect
41. C2×#520C22semidirect
44. #2859C22semidirect
45. #2858C22semidirect
48. #2855C22semidirect
49. #2854C22semidirect
52. #2793C22semidirect
53. #2790C22semidirect
54. #2781C22semidirect
55. #2768C22semidirect
56. #2761C22semidirect
57. #2761C22semidirect
58. #2761C22semidirect
59. #2755C22semidirect
62. #2748C22semidirect
63. #2748C22semidirect
64. #2747C22semidirect
66. #2741C22semidirect
68. #2707C22semidirect
70. #2694C22semidirect
74. #2672C22semidirect
75. #2672C22semidirect
76. #2644C22semidirect
78. #2629C22semidirect
81. #2620C22semidirect
83. #2609C22semidirect
84. #2608C22semidirect
86. #2601C22semidirect
87. #2601C22semidirect
90. #2596C22semidirect
91. #2587C22semidirect
92. #2579C22semidirect
93. #2579C22semidirect
94. #2577C22semidirect
95. #2575C22semidirect
96. #2574C22semidirect
97. #2570C22semidirect
98. #2567C22semidirect
101. #2566C22semidirect
102. #2566C22semidirect
104. #2558C22semidirect
105. #2557C22semidirect
106. #2554C22semidirect
107. #2553C22semidirect
108. #2553C22semidirect
109. #2552C22semidirect
110. #2552C22semidirect
111. #2552C22semidirect
112. #2552C22semidirect
113. #2548C22semidirect
119. #2515C22semidirect
120. #2513C22semidirect
121. #2513C22semidirect
122. #2512C22semidirect
123. #2512C22semidirect
124. #2512C22semidirect
125. #2508C22semidirect
126. #2508C22semidirect
127. #2507C22semidirect
128. #2506C22semidirect
129. #2501C22semidirect
130. #2498C22semidirect
133. #2497C22semidirect
134. #2497C22semidirect
137. #2490C22semidirect
138. #2490C22semidirect
140. #2485C22semidirect
141. #2484C22semidirect
142. #2479C22semidirect
143. #2478C22semidirect
146. #2470C22semidirect
148. #2468C22semidirect
150. #2460C22semidirect
151. #2460C22semidirect
152. #2459C22semidirect
159. #2454C22semidirect
160. #2454C22semidirect
161. #2454C22semidirect
162. #2454C22semidirect
163. #2454C22semidirect
164. #2453C22semidirect
166. #2448C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
175. #2442C22semidirect
176. #2441C22semidirect
179. #2432C22semidirect
180. #2429C22semidirect
183. #2426C22semidirect
185. #2423C22semidirect
188. #2420C22semidirect
189. #2419C22semidirect
192. #2413C22semidirect
196. #2396C22semidirect
197. #2392C22semidirect
198. #2370C22semidirect
199. #2370C22semidirect
200. #2369C22semidirect
204. #2366C22semidirect
205. #2362C22semidirect
206. #2362C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
210. #2359C22semidirect
211. #2359C22semidirect
216. #2357C22semidirect
217. #2355C22semidirect
225. #2352C22semidirect
226. Q8×C4⋊C4C22semidirect
231. D4×C4⋊C4C22semidirect
232. D4×C4⋊C4C22semidirect
235. #2344C22semidirect
238. #2341C22semidirect
242. #2336C22semidirect
243. #2336C22semidirect
246. #2332C22semidirect
247. #2330C22semidirect
248. #2327C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
256. #2323C22semidirect
257. #2320C22semidirect
258. #2320C22semidirect
259. #2319C22semidirect
260. #2317C22semidirect
262. #2311C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
267. C4×#127C22semidirect
268. C4×#125C22semidirect
269. C4×#125C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
272. C4×#125C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect
290. #2285C22semidirect
293. #2274C22semidirect
294. C42×Q8C22semidirect
295. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#599622
#595802
#595452
#595102
#594802
#594662
#594462
#444432
#443392
#434802
#434552
#397362
#396072
#390572
#390412
#389662
#389522
#378512
#376712
#364772
#364632
#361542
#361012
#356542
#355912
#353022
#352882
#349412
#349342
#343172
#343132
#342022
D4×#1172
C4×#5412