Finite Group Databasebeta

← #7806315

Subgroups — #7806315

Order 512.

4726 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59842C212yesmaximal, complemented
2#59823C211yesmaximal, characteristic, complemented
3#59672C211yesmaximal, characteristic, complemented
4#59593C212yesmaximal, complemented
5#59587C212yesmaximal, complemented
6#59580C212yesmaximal, complemented
7#59510C212yesmaximal, complemented
8#59445C211yesmaximal, characteristic, complemented
9#59442C211yesmaximal, characteristic, complemented
10#59440C212yesmaximal, complemented
11#59290C212yesmaximal, complemented
12#59235C212yesmaximal, complemented
13#59235C211yesmaximal, characteristic, complemented
14#59218C211yesmaximal, characteristic, complemented
15#59136C211yesmaximal, characteristic, complemented
16#59136C211yesmaximal, characteristic, complemented
17#47175C214yesmaximal, complemented
18#46973C214yesmaximal, complemented
19#42636C212yesmaximal, complemented
20#42633C212yesmaximal, complemented
21#42538C212yesmaximal, complemented
22#42534C212yesmaximal, complemented
23#42375C214yesmaximal, complemented
24#37637C211yesmaximal, characteristic, complemented
25#35993C212yesmaximal, complemented
26#35963C212yesmaximal, complemented
27#35882C212yesmaximal
28#35832C214yesmaximal, complemented
29#35699C212yesmaximal, complemented
30#34975C211yesmaximal, characteristic, complemented
31#34970C211yesmaximal, characteristic
32#34941C211yesmaximal, characteristic, complemented
33#34332C211yesmaximal, characteristic, complemented
34#34317C211yesmaximal, characteristic, complemented
35#34209C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#552C2214yes—
39C22×C4⋊Q8C2211yescharacteristic
40C2×#519C2212yes—
41#2839C2214yes—
42#2836C2214yes—
43#2831C2214yes—
44#2809C2214yes—
45#2794C2214yes—
46#2793C2214yes—
47#2791C2214yes—
48#2783C2214yes—
49#2774C2214yes—
50#2772C2214yes—
51#2755C2214yes—
52#2754C2214yes—
53#2751C2214yes—
54#2747C2214yes—
55#2744C2214yes—
56#2744C2214yes—
57#2744C2214yes—
58#2743C2214yes—
59#2740C2214yes—
60#2739C2214yes—
61#2732C2214yes—
62#2729C2214yes—
63#2729C2214yes—
64#2719C2214yes—
65#2707C2214yes—
66#2702C2214yes—
67#2698C2214yes—
68#2667C2214yes—
69#2655C2214yes—
70#2652C2214yes—
71#2649C2214yes—
72#2647C2212yes—
73#2644C2212yes—
74#2637C2214yes—
75#2637C2214yes—
76#2629C2212yes—
77#2629C2214yes—
78#2625C2212yes—
79#2609C2214yes—
80#2609C2214yes—
81#2609C2214yes—
82#2601C2214yes—
83#2601C2214yes—
84#2597C2214yes—
85#2596C2214yes—
86#2590C2214yes—
87#2589C2214yes—
88#2587C2214yes—
89#2585C2214yes—
90#2577C2214yes—
91#2576C2214yes—
92#2575C2214yes—
93#2574C2214yes—
94#2570C2212yes—
95#2570C2212yes—
96#2569C2214yes—
97#2567C2211yescharacteristic
98#2567C2211yescharacteristic
99#2565C2214yes—
100#2563C2211yescharacteristic
101#2563C2211yescharacteristic
102#2562C2212yes—
103#2562C2212yes—
104#2552C2211yescharacteristic
105#2552C2212yes—
106#2552C2211yescharacteristic
107#2552C2212yes—
108#2552C2212yes—
109#2552C2212yes—
110#2550C2212yes—
111#2550C2212yes—
112#2542C2212yes—
113#2538C2211yescharacteristic
114#2538C2212yes—
115#2538C2211yescharacteristic
116#2538C2214yes—
117#2533C2212yes—
118#2531C2212yes—
119#2528C2212yes—
120#2526C2212yes—
121#2520C2214yes—
122#2515C2214yes—
123#2514C2211yescharacteristic
124#2513C2211yescharacteristic
125#2513C2212yes—
126#2512C2212yes—
127#2512C2212yes—
128#2511C2212yes—
129#2508C2212yes—
130#2508C2212yes—
131#2508C2212yes—
132#2508C2212yes—
133#2508C2212yes—
134#2508C2212yes—
135#2508C2214yes—
136#2507C2211yescharacteristic
137#2506C2212yes—
138#2506C2212yes—
139#2506C2212yes—
140#2506C2211yescharacteristic
141#2497C2212yes—
142#2497C2214yes—
143#2497C2212yes—
144#2497C2212yes—
145#2497C2211yescharacteristic
146#2496C2212yes—
147#2496C2212yes—
148#2496C2211yescharacteristic
149#2492C2212yes—
150#2492C2212yes—
151#2490C2212yes—
152#2490C2211yescharacteristic
153#2489C2212yes—
154#2489C2212yes—
155#2489C2211yescharacteristic
156#2486C2212yes—
157#2485C2212yes—
158#2485C2212yes—
159#2484C2214yes—
160#2481C2214yes—
161#2478C2212yes—
162#2478C2214yes—
163#2477C2214yes—
164#2476C2212yes—
165#2475C2214yes—
166#2475C2212yes—
167#2471C2214yes—
168#2471C2212yes—
169#2468C2214yes—
170#2466C2214yes—
171#2462C2214yes—
172#2462C2214yes—
173#2460C2214yes—
174#2458C2214yes—
175#2458C2214yes—
176#2454C2212yes—
177#2454C2212yes—
178#2454C2212yes—
179#2454C2211yescharacteristic
180#2453C2211yescharacteristic
181#2452C2212yes—
182#2452C2212yes—
183#2446C2212yes—
184#2446C2211yescharacteristic
185#2445C2212yes—
186#2445C2211yescharacteristic
187#2444C2214yes—
188#2442C2212yes—
189#2442C2212yes—
190#2440C2212yes—
191#2440C2212yes—
192#2438C2214yes—
193#2429C2211yescharacteristic
194#2428C2211yescharacteristic
195#2423C2214yes—
196#2423C2212yes—
197#2421C2214yes—
198#2421C2211yescharacteristic
199#2420C2214yes—
200#2420C2212yes—
201#2420C2211yescharacteristic
202#2419C2214yes—
203#2417C2212yes—
204#2417C2212yes—
205#2417C2212yes—
206#2417C2212yes—
207#2417C2212yes—
208#2409C2214yes—
209#2409C2214yes—
210#2402C2212yes—
211#2401C2212yes—
212#2396C2214yes—
213#2396C2214yes—
214#2395C2212yes—
215#2392C2214yes—
216#2392C2212yes—
217#2370C2212yes—
218#2370C2212yes—
219#2370C2212yes—
220#2370C2212yes—
221#2370C2212yes—
222#2370C2212yes—
223#2369C2211yescharacteristic
224#2369C2211yescharacteristic
225#2366C2212yes—
226#2365C2212yes—
227#2365C2212yes—
228#2365C2212yes—
229#2365C2212yes—
230#2362C2212yes—
231#2362C2214yes—
232#2362C2212yes—
233#2361C2212yes—
234#2361C2212yes—
235#2360C2214yes—
236#2360C2212yes—
237#2357C2212yes—
238#2357C2212yes—
239#2355C2211yescharacteristic
240#2355C2212yes—
241#2355C2214yes—
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2214yes—
245#2352C2212yes—
246#2352C2214yes—
247Q8×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253#2345C2212yes—
254#2344C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2344C2212yes—
258#2344C2212yes—
259#2344C2212yes—
260#2332C2214yes—
261#2330C2212yes—
262#2329C2214yes—
263#2327C2212yes—
264#2327C2212yes—
265#2323C2212yes—
266#2310C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2211yescharacteristic
271C4×C4⋊Q8C2211yescharacteristic
272C4×#127C2211yescharacteristic
273C4×#125C2212yes—
274C4×#125C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×#125C2212yes—
278C4×#126C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×#123C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287#2295C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2212yes—
291C2×#389C2212yes—
292#2285C2211yescharacteristic
293#2285C2212yes—
294#2275C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#554—28no—
301#554—28no—
302#552—416no—
303C2×C4⋊Q8—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338#519—48no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2314yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2314yes—
370C2×#117C2314yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2314yes—
380C22×C42C2311yescharacteristic
381C22×C42C2312yes—
382#401C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2312yes—
467#396C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#392C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
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#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2311yescharacteristic
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2314yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2314yes—
696#384C2312yes—
697#383C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2314yes—
706#382C2314yes—
707#382C2314yes—
708#382C2312yes—
709#382C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2312yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8—28no—
816C22×Q8—44no—
817C22×Q8—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—42no—
845C4⋊Q8#4118yes—
846#127—24no—
847#126—48no—
848#126—48no—
849#126—44no—
850#125—28no—
851#125—28no—
852#125—28no—
853#125—24no—
854#125—28no—
855#125—44no—
856#125—42no—
857#125—48no—
858#125—48no—
859#123—28no—
860#123—48no—
861C22⋊Q8—216no—
862C22⋊Q8—216no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—42no—
868C22⋊Q8—42no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871#121—24no—
872#121—24no—
873#121—44no—
874C4×Q8—216no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—42no—
882C4×Q8—44no—
883C4×Q8—42no—
884C4×Q8—48no—
885C4×D4—24no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—48no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—48no—
898C4×D4—48no—
899#117—24no—
900#117—44no—
901#117—44no—
902#117—48no—
903#117—48no—
904#117—48no—
905#117—48no—
906#117—48no—
907#117—42no—
908#117—44no—
909C2×C4⋊C4—28no—
910C2×C4⋊C4—28no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—48no—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C42—24no—
1039C2×C42—44no—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24C2512yes—
1159C24C2512yes—
1160C24C2511yescharacteristic
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—28no—
1164C2×Q8—24no—
1165C2×Q8—28no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—44no—
1174C2×Q8—42no—
1175C2×Q8—432no—
1176C2×Q8C2×#4118yes—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D42−1+414yes—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—28no—
1200C22×C4—28no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—28no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2514yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4C2×#4118yes—
1338C4⋊C4C2×#4118yes—
1339C4⋊C4H(5,𝔽2)14yes—
1340C4⋊C42−1+414yes—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—24no—
1387C42—24no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—28no—
1392C42—28no—
1393C42—28no—
1394C42—22no—
1395C42—24no—
1396C42—22no—
1397C42—24no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—42no—
1407C42—42no—
1408C42—41no—
1409C42—41no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—42no—
1417C42—44no—
1418C42—42no—
1419C42—42no—
1420C42C2×#4114yes—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23C2×2−1+414yes—
1441C23#58512yes—
1442C23C2611yescharacteristic
1443Q8—48no—
1444Q8—416no—
1445Q8—48no—
1446Q8—44no—
1447Q8—44no—
1448D4—28no—
1449D4—48no—
1450D4—48no—
1451D4—48no—
1452D4—44no—
1453D4—84no—
1454C2×C4—28no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—48no—
1540C2×C4—416no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—48no—
1544C2×C4—48no—
1545C2×C4—84no—
1546C2×C4—88no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4C22×#4112yes—
1550C2×C4C22×#4118yes—
1551C2×C4C22×#4112yes—
1552C2×C4C22×#4112yes—
1553C2×C4C2×H(5,𝔽2)12yes—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C2×C4C2×2−1+414yes—
1557C2×C4C2×2−1+412yes—
1558C2×C4C2×2−1+412yes—
1559C2×C4#58512yes—
1560C2×C4#58512yes—
1561C22—24no—
1562C22—22no—
1563C22—22no—
1564C22—24no—
1565C22—22no—
1566C22—24no—
1567C22—41no—
1568C22—42no—
1569C22—42no—
1570C22—41no—
1571C22—42no—
1572C22—41no—
1573C22—42no—
1574C22—41no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22C23×#4111yescharacteristic
1583C22C22×H(5,𝔽2)11yescharacteristic
1584C22C22×2−1+411yescharacteristic
1585C22C22×2−1+411yescharacteristic
1586C22C2×#58511yescharacteristic
1587C22C2×#58511yescharacteristic
1588C22C2×#58511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—24no—
1592C4—22no—
1593C4—22no—
1594C4—28no—
1595C4—42no—
1596C4—44no—
1597C4—42no—
1598C4—41no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—41no—
1605C4—44no—
1606C4—42no—
1607C4—42no—
1608C4—44no—
1609C4—41no—
1610C4—41no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—41no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4#352314yes—
1620C4#352414yes—
1621C2—44no—
1622C2—42no—
1623C2—82no—
1624C2#6277311yescharacteristic
1625C2C2×#352311yescharacteristic
1626C2C2×#352411yescharacteristic
1627C2#6301311yescharacteristic
1628C2#6302311yescharacteristic
1629C2#6302311yescharacteristic
1630C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2428C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59842C2semidirect
2. #59823C2semidirect
3. #59672C2semidirect
4. #59593C2semidirect
5. #59587C2semidirect
6. #59580C2semidirect
7. #59510C2semidirect
8. #59445C2semidirect
9. #59442C2semidirect
10. #59440C2semidirect
11. #59290C2semidirect
12. #59235C2semidirect
13. #59235C2semidirect
14. #59218C2semidirect
15. #59136C2semidirect
16. #59136C2semidirect
17. #47175C2semidirect
18. #46973C2semidirect
19. #42636C2semidirect
20. #42633C2semidirect
21. #42538C2semidirect
22. #42534C2semidirect
23. #42375C2semidirect
24. #37637C2semidirect
25. #35993C2semidirect
26. #35963C2semidirect
28. #35832C2semidirect
29. #35699C2semidirect
30. #34975C2semidirect
32. #34941C2semidirect
33. #34332C2semidirect
34. #34317C2semidirect
35. #34209C2semidirect

Maximal subgroups

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

subgroupindex
#598422
#598232
#596722
#595932
#595872
#595802
#595102
#594452
#594422
#594402
#592902
#592352
#592182
#591362
#471752
#469732
#426362
#426332
#425382
#425342
#423752
#376372
#359932
#359632
#358822
#358322
#356992
#349752
#349702
#349412
#343322
#343172
#342092