Finite Group Databasebeta

← #8095657

Subgroups — #8095657

Order 512.

4405 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53133C212yesmaximal, complemented
2#53119C212yesmaximal, complemented
3#53081C212yesmaximal, complemented
4#53075C212yesmaximal, complemented
5#53072C212yesmaximal, complemented
6#53067C212yesmaximal, complemented
7#53058C212yesmaximal, complemented
8#53048C212yesmaximal, complemented
9#52368C214yesmaximal, complemented
10#52314C214yesmaximal
11#46196C212yesmaximal, complemented
12#46180C212yesmaximal, complemented
13#46174C212yesmaximal, complemented
14#46158C212yesmaximal, complemented
15#45709C212yesmaximal, complemented
16#45627C212yesmaximal, complemented
17#45605C212yesmaximal, complemented
18#45579C214yesmaximal, complemented
19#45551C214yesmaximal, complemented
20#45523C212yesmaximal, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35566C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35544C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic, complemented
26#35544C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35253C211yesmaximal, characteristic, complemented
30#35253C211yesmaximal, characteristic, complemented
31#35151C211yesmaximal, characteristic, complemented
32#35151C211yesmaximal, characteristic, complemented
33#34946C211yesmaximal, characteristic
34#34809C211yesmaximal, characteristic
35C2×#2485C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C22×#117C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2864C2212yescomplemented
43#2864C2212yescomplemented
44#2859C2212yescomplemented
45#2859C2212yescomplemented
46#2857C2212yescomplemented
47#2857C2212yescomplemented
48#2855C2214yes—
49#2855C2214yes—
50#2851C2212yescomplemented
51#2851C2212yescomplemented
52#2839C2214yescomplemented
53#2838C2214yescomplemented
54#2838C2214yescomplemented
55#2838C2214yescomplemented
56#2838C2214yescomplemented
57#2837C2214yes—
58#2837C2214yes—
59#2836C2214yescomplemented
60#2836C2214yescomplemented
61#2833C2214yescomplemented
62#2832C2214yes—
63#2831C2214yescomplemented
64#2831C2214yescomplemented
65#2831C2214yescomplemented
66#2830C2214yes—
67#2827C2214yes—
68#2823C2214yes—
69#2821C2214yescomplemented
70#2820C2214yes—
71#2814C2214yes—
72#2805C2214yescomplemented
73#2799C2214yescomplemented
74#2794C2214yescomplemented
75#2793C2214yescomplemented
76#2793C2214yescomplemented
77#2791C2214yescomplemented
78#2789C2214yescomplemented
79#2777C2214yescomplemented
80#2777C2214yescomplemented
81#2776C2214yescomplemented
82#2776C2214yescomplemented
83#2775C2214yescomplemented
84#2774C2214yescomplemented
85#2773C2214yescomplemented
86#2773C2214yescomplemented
87#2770C2214yescomplemented
88#2766C2214yescomplemented
89#2765C2214yescomplemented
90#2762C2214yescomplemented
91#2759C2214yescomplemented
92#2759C2214yescomplemented
93#2758C2214yescomplemented
94#2745C2214yescomplemented
95#2731C2214yes—
96#2729C2214yescomplemented
97#2727C2214yes—
98#2725C2214yescomplemented
99#2725C2214yescomplemented
100#2723C2214yes—
101#2721C2214yescomplemented
102#2718C2214yes—
103#2716C2214yescomplemented
104#2716C2214yescomplemented
105#2715C2214yes—
106#2713C2214yescomplemented
107#2707C2214yes—
108#2702C2214yes—
109#2690C2214yescomplemented
110#2689C2214yescomplemented
111#2674C2214yes—
112#2647C2212yescomplemented
113#2647C2212yescomplemented
114#2647C2212yescomplemented
115#2647C2212yescomplemented
116#2629C2212yescomplemented
117#2629C2212yescomplemented
118#2628C2212yescomplemented
119#2628C2212yescomplemented
120#2626C2214yes—
121#2626C2214yes—
122#2584C2212yescomplemented
123#2584C2212yescomplemented
124#2584C2212yescomplemented
125#2584C2212yescomplemented
126#2567C2212yescomplemented
127#2567C2212yescomplemented
128#2563C2211yescharacteristic
129#2563C2211yescharacteristic
130#2562C2211yescharacteristic
131#2562C2211yescharacteristic
132#2562C2211yescharacteristic
133#2562C2211yescharacteristic
134#2561C2212yes—
135#2561C2212yes—
136#2552C2212yescomplemented
137#2552C2212yescomplemented
138#2551C2212yescomplemented
139#2551C2212yescomplemented
140#2550C2212yescomplemented
141#2550C2212yescomplemented
142#2550C2212yescomplemented
143#2550C2212yescomplemented
144#2549C2214yes—
145#2549C2214yes—
146#2547C2211yescharacteristic
147#2547C2211yescharacteristic
148#2546C2212yescomplemented
149#2546C2212yescomplemented
150#2509C2212yescomplemented
151#2509C2212yescomplemented
152#2508C2212yescomplemented
153#2508C2212yescomplemented
154#2507C2212yescomplemented
155#2507C2212yescomplemented
156#2506C2212yescomplemented
157#2506C2212yescomplemented
158#2505C2214yes—
159#2505C2214yes—
160#2503C2212yes—
161#2497C2212yescomplemented
162#2497C2212yescomplemented
163#2497C2212yescomplemented
164#2497C2212yescomplemented
165#2497C2212yescomplemented
166#2497C2212yescomplemented
167#2497C2212yescomplemented
168#2497C2212yescomplemented
169#2496C2212yescomplemented
170#2496C2212yescomplemented
171#2496C2212yescomplemented
172#2496C2212yescomplemented
173#2496C2212yescomplemented
174#2496C2212yescomplemented
175#2496C2212yescomplemented
176#2496C2212yescomplemented
177#2495C2212yescomplemented
178#2495C2212yescomplemented
179#2495C2212yescomplemented
180#2495C2212yescomplemented
181#2495C2212yescomplemented
182#2495C2212yescomplemented
183#2495C2212yescomplemented
184#2495C2212yescomplemented
185#2494C2212yescomplemented
186#2494C2212yescomplemented
187#2494C2212yescomplemented
188#2494C2212yescomplemented
189#2494C2212yescomplemented
190#2494C2212yescomplemented
191#2494C2212yescomplemented
192#2494C2212yescomplemented
193#2493C2214yes—
194#2493C2214yes—
195#2493C2214yes—
196#2493C2214yes—
197#2487C2211yescharacteristic
198#2487C2211yescharacteristic
199#2486C2211yescharacteristic
200#2486C2211yescharacteristic
201#2485C2212yes—
202#2485C2212yes—
203#2485C2212yes—
204#2485C2211yescharacteristic
205#2485C2212yes—
206#2485C2211yescharacteristic
207#2485C2212yes—
208#2485C2211yescharacteristic
209#2485C2212yes—
210#2485C2211yescharacteristic
211#2485C2212yes—
212#2485C2212yes—
213#2484C2212yes—
214#2483C2212yes—
215#2482C2212yes—
216#2480C2214yes—
217#2480C2214yes—
218#2480C2214yes—
219#2480C2214yes—
220#2473C2214yes—
221#2473C2214yes—
222#2442C2212yescomplemented
223#2442C2212yescomplemented
224#2441C2212yescomplemented
225#2441C2212yescomplemented
226#2441C2212yescomplemented
227#2441C2212yescomplemented
228#2441C2212yescomplemented
229#2441C2212yescomplemented
230#2441C2212yescomplemented
231#2441C2212yescomplemented
232#2441C2212yescomplemented
233#2441C2212yescomplemented
234#2440C2214yes—
235#2440C2214yes—
236#2440C2212yescomplemented
237#2440C2212yescomplemented
238#2439C2212yescomplemented
239#2439C2212yescomplemented
240#2439C2212yescomplemented
241#2439C2212yescomplemented
242#2439C2212yescomplemented
243#2439C2212yescomplemented
244#2439C2212yescomplemented
245#2439C2212yescomplemented
246#2439C2212yescomplemented
247#2439C2212yescomplemented
248#2438C2214yes—
249#2438C2214yes—
250#2437C2214yes—
251#2437C2214yes—
252#2435C2212yes—
253#2405C2212yes—
254#2398C2212yes—
255#2398C2212yes—
256#2395C2212yes—
257#2395C2212yes—
258C2×#397C2212yes—
259C2×#394C2212yes—
260#2383C2214yescomplemented
261#2382C2214yescomplemented
262#2381C2214yescomplemented
263#2378C2214yescomplemented
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2317C2211yescharacteristic
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2316C2211yescharacteristic
273#2316C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#123C2212yes—
279C4×#123C2212yes—
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282C2×#389C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#388C2212yes—
285C2×#387C2212yes—
286#2280C2211yescharacteristic
287#2280C2211yescharacteristic
288#2280C2211yescharacteristic
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×D4C2311yescharacteristic
300C24×C4C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—44no—
303#544—44no—
304#533—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×D4—44no—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×#117—44no—
347C2×#117—44no—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2312yes—
382C22×C42C2312yes—
383#401C2314yes—
384#401C2314yes—
385#401C2314yes—
386#401C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#393C2312yes—
510#393C2312yes—
511#393C2312yes—
512#393C2312yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#390C2312yes—
532#390C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
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#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#386C2312yes—
668#386C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#384C2314yes—
688#384C2314yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#379C2312yes—
769#379C2312yes—
770#379C2312yes—
771#379C2312yes—
772#379C2312yes—
773#379C2312yes—
774#379C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C25C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4—42no—
823C22×D4—42no—
824C22×D4—42no—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C23×C4—24no—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4—24no—
833C23×C4—24no—
834C23×C4—24no—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C4⋊Q8—42no—
855C4⋊Q8—42no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—48no—
861C4⋊Q8—84no—
862#126—48no—
863#126—84no—
864#126—84no—
865#126—84no—
866#125—48no—
867#125—42no—
868#125—42no—
869#125—44no—
870#125—44no—
871#125—44no—
872#125—44no—
873#125—84no—
874#124—44no—
875#124—44no—
876#123—44no—
877#123—44no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—84no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×D4—42no—
887C4×D4—42no—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—42no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—44no—
903#117—44no—
904#117—44no—
905#117—44no—
906#117—44no—
907#117—44no—
908#117—42no—
909#117—42no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4—42no—
917C2×C4⋊C4—42no—
918C2×C4⋊C4—82no—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C22⋊C4—44no—
998C2×C22⋊C4—44no—
999C2×C22⋊C4—44no—
1000C2×C22⋊C4—42no—
1001C2×C22⋊C4—42no—
1002C2×C22⋊C4—82no—
1003C2×C22⋊C4—82no—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—24no—
1059C2×C42—44no—
1060C2×C42—44no—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—22no—
1169C24—22no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24—41no—
1177C24C2511yescharacteristic
1178C24C2511yescharacteristic
1179C24C2511yescharacteristic
1180C24C2511yescharacteristic
1181C24C2511yescharacteristic
1182C2×Q8—24no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—416no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—41no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—416no—
1262C22×C4—416no—
1263C22×C4H(5,𝔽2)14yes—
1264C22×C42−1+414yes—
1265C22×C42−1+414yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2514yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—42no—
1442C42—42no—
1443C42—44no—
1444C42—44no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—82no—
1491C23—82no—
1492C23—82no—
1493C23—82no—
1494C23—82no—
1495C23—82no—
1496C23—82no—
1497C23C2×H(5,𝔽2)12yes—
1498C23C2×2−1+412yes—
1499C23C2×2−1+412yes—
1500C23#58512yes—
1501C23C2611yescharacteristic
1502Q8—84no—
1503Q8—84no—
1504Q8—164no—
1505Q8—164no—
1506D4—44no—
1507D4—44no—
1508D4—44no—
1509D4—44no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—82no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4#563116yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4C2×2−1+412yes—
1618C2×C4#58512yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—88no—
1654C22—88no—
1655C22C2×#56314yes—
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C22×2−1+411yescharacteristic
1658C22C22×2−1+411yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22H(7,𝔽2)11yescharacteristic
1662C222−1+611yescharacteristic
1663C4—22no—
1664C4—41no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4—44no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—44no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—42no—
1687C4—42no—
1688C4—44no—
1689C4—42no—
1690C4—42no—
1691C4C2×#56314yes—
1692C4C2×#56314yes—
1693C2—24no—
1694C2—42no—
1695C2—81no—
1696C2—81no—
1697C2—81no—
1698C2C22×#56311yescharacteristic
1699C2#6282111yescharacteristic
1700C2#6287511yescharacteristic
1701C2#6292811yescharacteristic
1702C2#6292911yescharacteristic
1703C2#6295811yescharacteristic
1704C2#6295911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53133C2semidirect
2. #53119C2semidirect
3. #53081C2semidirect
4. #53075C2semidirect
5. #53072C2semidirect
6. #53067C2semidirect
7. #53058C2semidirect
8. #53048C2semidirect
9. #52368C2semidirect
11. #46196C2semidirect
12. #46180C2semidirect
13. #46174C2semidirect
14. #46158C2semidirect
15. #45709C2semidirect
16. #45627C2semidirect
17. #45605C2semidirect
18. #45579C2semidirect
19. #45551C2semidirect
20. #45523C2semidirect
21. #35566C2semidirect
22. #35566C2semidirect
23. #35544C2semidirect
24. #35544C2semidirect
25. #35544C2semidirect
26. #35544C2semidirect
27. #35265C2semidirect
28. #35265C2semidirect
29. #35253C2semidirect
30. #35253C2semidirect
31. #35151C2semidirect
32. #35151C2semidirect
42. #2864C22semidirect
43. #2864C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
46. #2857C22semidirect
47. #2857C22semidirect
50. #2851C22semidirect
51. #2851C22semidirect
52. #2839C22semidirect
53. #2838C22semidirect
54. #2838C22semidirect
55. #2838C22semidirect
56. #2838C22semidirect
59. #2836C22semidirect
60. #2836C22semidirect
61. #2833C22semidirect
63. #2831C22semidirect
64. #2831C22semidirect
65. #2831C22semidirect
69. #2821C22semidirect
72. #2805C22semidirect
73. #2799C22semidirect
74. #2794C22semidirect
75. #2793C22semidirect
76. #2793C22semidirect
77. #2791C22semidirect
78. #2789C22semidirect
79. #2777C22semidirect
80. #2777C22semidirect
81. #2776C22semidirect
82. #2776C22semidirect
83. #2775C22semidirect
84. #2774C22semidirect
85. #2773C22semidirect
86. #2773C22semidirect
87. #2770C22semidirect
88. #2766C22semidirect
89. #2765C22semidirect
90. #2762C22semidirect
91. #2759C22semidirect
92. #2759C22semidirect
93. #2758C22semidirect
94. #2745C22semidirect
96. #2729C22semidirect
98. #2725C22semidirect
99. #2725C22semidirect
101. #2721C22semidirect
103. #2716C22semidirect
104. #2716C22semidirect
106. #2713C22semidirect
109. #2690C22semidirect
110. #2689C22semidirect
112. #2647C22semidirect
113. #2647C22semidirect
114. #2647C22semidirect
115. #2647C22semidirect
116. #2629C22semidirect
117. #2629C22semidirect
118. #2628C22semidirect
119. #2628C22semidirect
122. #2584C22semidirect
123. #2584C22semidirect
124. #2584C22semidirect
125. #2584C22semidirect
126. #2567C22semidirect
127. #2567C22semidirect
136. #2552C22semidirect
137. #2552C22semidirect
138. #2551C22semidirect
139. #2551C22semidirect
140. #2550C22semidirect
141. #2550C22semidirect
142. #2550C22semidirect
143. #2550C22semidirect
148. #2546C22semidirect
149. #2546C22semidirect
150. #2509C22semidirect
151. #2509C22semidirect
152. #2508C22semidirect
153. #2508C22semidirect
154. #2507C22semidirect
155. #2507C22semidirect
156. #2506C22semidirect
157. #2506C22semidirect
161. #2497C22semidirect
162. #2497C22semidirect
163. #2497C22semidirect
164. #2497C22semidirect
165. #2497C22semidirect
166. #2497C22semidirect
167. #2497C22semidirect
168. #2497C22semidirect
169. #2496C22semidirect
170. #2496C22semidirect
171. #2496C22semidirect
172. #2496C22semidirect
173. #2496C22semidirect
174. #2496C22semidirect
175. #2496C22semidirect
176. #2496C22semidirect
177. #2495C22semidirect
178. #2495C22semidirect
179. #2495C22semidirect
180. #2495C22semidirect
181. #2495C22semidirect
182. #2495C22semidirect
183. #2495C22semidirect
184. #2495C22semidirect
185. #2494C22semidirect
186. #2494C22semidirect
187. #2494C22semidirect
188. #2494C22semidirect
189. #2494C22semidirect
190. #2494C22semidirect
191. #2494C22semidirect
192. #2494C22semidirect
222. #2442C22semidirect
223. #2442C22semidirect
224. #2441C22semidirect
225. #2441C22semidirect
226. #2441C22semidirect
227. #2441C22semidirect
228. #2441C22semidirect
229. #2441C22semidirect
230. #2441C22semidirect
231. #2441C22semidirect
232. #2441C22semidirect
233. #2441C22semidirect
236. #2440C22semidirect
237. #2440C22semidirect
238. #2439C22semidirect
239. #2439C22semidirect
240. #2439C22semidirect
241. #2439C22semidirect
242. #2439C22semidirect
243. #2439C22semidirect
244. #2439C22semidirect
245. #2439C22semidirect
246. #2439C22semidirect
247. #2439C22semidirect
260. #2383C22semidirect
261. #2382C22semidirect
262. #2381C22semidirect
263. #2378C22semidirect

Maximal subgroups

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

subgroupindex
#531332
#531192
#530812
#530752
#530722
#530672
#530582
#530482
#523682
#523142
#461962
#461802
#461742
#461582
#457092
#456272
#456052
#455792
#455512
#455232
#355662
#355442
#352652
#352532
#351512
#349462
#348092
C2×#24852