Finite Group Databasebeta

← #7646937

Subgroups — #7646937

Order 512.

4644 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42904C212yesmaximal, complemented
2#42901C212yesmaximal, complemented
3#42899C212yesmaximal, complemented
4#42898C212yesmaximal, complemented
5#42863C212yesmaximal, complemented
6#42861C212yesmaximal, complemented
7#42833C212yesmaximal, complemented
8#42832C212yesmaximal, complemented
9#40224C212yesmaximal, complemented
10#40220C212yesmaximal, complemented
11#40123C212yesmaximal, complemented
12#40119C212yesmaximal, complemented
13#39794C212yesmaximal, complemented
14#39791C212yesmaximal, complemented
15#39226C212yesmaximal, complemented
16#39223C212yesmaximal, complemented
17#37525C214yesmaximal, complemented
18#37141C214yesmaximal, complemented
19#37124C214yesmaximal, complemented
20#35627C211yesmaximal, characteristic, complemented
21#35618C211yesmaximal, characteristic
22#35545C211yesmaximal, characteristic, complemented
23#35519C211yesmaximal, characteristic, complemented
24#35265C211yesmaximal, characteristic, complemented
25#35255C211yesmaximal, characteristic
26#35182C211yesmaximal, characteristic, complemented
27#35182C211yesmaximal, characteristic, complemented
28#35179C211yesmaximal, characteristic, complemented
29#35153C211yesmaximal, characteristic
30#35075C214yesmaximal, complemented
31#34816C211yesmaximal, characteristic, complemented
32#34745C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34C2×#2351C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2864C2212yes—
46#2859C2212yes—
47#2855C2214yes—
48#2855C2212yes—
49#2854C2214yes—
50#2854C2212yes—
51#2853C2214yes—
52#2853C2214yes—
53#2839C2214yes—
54#2838C2214yes—
55#2837C2214yes—
56#2836C2214yes—
57#2810C2214yes—
58#2805C2214yes—
59#2802C2214yes—
60#2802C2214yes—
61#2796C2214yes—
62#2796C2214yes—
63#2789C2214yes—
64#2785C2214yes—
65#2783C2214yes—
66#2783C2214yes—
67#2783C2214yes—
68#2783C2214yes—
69#2782C2214yes—
70#2781C2214yes—
71#2781C2214yes—
72#2775C2214yes—
73#2775C2214yes—
74#2773C2214yes—
75#2773C2214yes—
76#2771C2214yes—
77#2771C2214yes—
78#2769C2214yes—
79#2767C2214yes—
80#2767C2214yes—
81#2765C2214yes—
82#2765C2214yes—
83#2744C2214yes—
84#2744C2214yes—
85#2732C2214yes—
86#2727C2214yes—
87#2689C2214yes—
88#2689C2214yes—
89#2667C2214yes—
90#2666C2214yes—
91#2664C2214yes—
92#2663C2214yes—
93#2655C2214yes—
94#2655C2214yes—
95#2654C2214yes—
96#2654C2214yes—
97#2652C2214yes—
98#2651C2214yes—
99#2650C2214yes—
100#2649C2214yes—
101#2647C2212yes—
102#2647C2212yes—
103#2627C2214yes—
104#2625C2212yes—
105#2624C2212yes—
106#2623C2214yes—
107#2623C2214yes—
108#2618C2214yes—
109#2596C2214yes—
110#2594C2214yes—
111#2590C2214yes—
112#2588C2214yes—
113#2585C2214yes—
114#2582C2212yes—
115#2582C2212yes—
116#2582C2212yes—
117#2581C2212yes—
118#2581C2212yes—
119#2581C2212yes—
120#2580C2212yes—
121#2577C2214yes—
122#2575C2214yes—
123#2573C2214yes—
124#2571C2212yes—
125#2571C2212yes—
126#2570C2212yes—
127#2570C2212yes—
128#2568C2212yes—
129#2567C2212yes—
130#2565C2212yes—
131#2565C2212yes—
132#2560C2214yes—
133#2558C2214yes—
134#2556C2214yes—
135#2553C2214yes—
136#2538C2212yes—
137#2514C2211yescharacteristic
138#2514C2211yescharacteristic
139#2514C2212yes—
140#2513C2211yescharacteristic
141#2513C2211yescharacteristic
142#2513C2212yes—
143#2512C2211yescharacteristic
144#2512C2211yescharacteristic
145#2512C2212yes—
146#2511C2211yescharacteristic
147#2511C2211yescharacteristic
148#2511C2212yes—
149#2510C2212yes—
150#2510C2212yes—
151#2510C2214yes—
152#2509C2212yes—
153#2509C2212yes—
154#2509C2212yes—
155#2508C2212yes—
156#2508C2212yes—
157#2508C2212yes—
158#2507C2212yes—
159#2506C2212yes—
160#2505C2214yes—
161#2505C2214yes—
162#2505C2214yes—
163#2504C2212yes—
164#2503C2212yes—
165#2500C2212yes—
166#2499C2212yes—
167#2497C2212yes—
168#2496C2212yes—
169#2495C2212yes—
170#2494C2212yes—
171#2481C2212yes—
172#2481C2212yes—
173#2481C2214yes—
174#2473C2214yes—
175#2454C2211yescharacteristic
176#2454C2211yescharacteristic
177#2453C2211yescharacteristic
178#2453C2211yescharacteristic
179#2452C2211yescharacteristic
180#2452C2211yescharacteristic
181#2451C2211yescharacteristic
182#2451C2211yescharacteristic
183#2450C2212yes—
184#2450C2212yes—
185#2450C2214yes—
186#2449C2214yes—
187#2449C2212yes—
188#2449C2212yes—
189#2448C2212yes—
190#2448C2212yes—
191#2448C2212yes—
192#2448C2212yes—
193#2446C2212yes—
194#2446C2212yes—
195#2446C2212yes—
196#2446C2212yes—
197#2444C2214yes—
198#2444C2214yes—
199#2444C2214yes—
200#2443C2214yes—
201#2442C2212yes—
202#2441C2212yes—
203#2440C2212yes—
204#2439C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2426C2212yes—
210#2426C2212yes—
211#2426C2212yes—
212#2426C2212yes—
213#2423C2212yes—
214#2423C2212yes—
215#2423C2212yes—
216#2423C2212yes—
217#2423C2212yes—
218#2422C2212yes—
219#2421C2212yes—
220#2421C2212yes—
221#2421C2212yes—
222#2421C2212yes—
223#2421C2212yes—
224#2421C2212yes—
225#2421C2212yes—
226#2420C2212yes—
227#2420C2212yes—
228#2420C2212yes—
229#2401C2212yes—
230#2401C2212yes—
231#2396C2212yes—
232#2396C2212yes—
233#2367C2212yes—
234#2367C2212yes—
235#2365C2212yes—
236#2365C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2360C2212yes—
240#2360C2212yes—
241#2351C2212yes—
242#2351C2212yes—
243#2351C2212yes—
244#2351C2212yes—
245#2351C2212yes—
246#2351C2212yes—
247#2351C2212yes—
248#2351C2212yes—
249#2336C2214yes—
250#2335C2214yes—
251#2334C2214yes—
252#2332C2214yes—
253#2327C2212yes—
254#2326C2212yes—
255#2323C2212yes—
256#2323C2212yes—
257#2322C2214yes—
258#2322C2214yes—
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2316C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2310C2211yescharacteristic
269#2310C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×#126C2212yes—
272C4×#126C2212yes—
273C4×#124C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#123C2214yes—
279C4×#123C2214yes—
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#389C2212yes—
289C2×#389C2212yes—
290C2×#389C2211yescharacteristic
291C2×#389C2211yescharacteristic
292#2285C2211yescharacteristic
293C2×#382C2212yes—
294C2×#382C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302#537—44no—
303#536—28no—
304#536—28no—
305#533—44no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335#520—44no—
336C4×#41—44no—
337C2×C4×Q8—28no—
338C2×C4×Q8—44no—
339C2×C4×Q8—44no—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2312yes—
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2312yes—
389#401C2314yes—
390#401C2312yes—
391#401C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#396C2314yes—
475#396C2312yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2314yes—
486#396C2312yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2312yes—
491#395C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#393C2312yes—
499#393C2314yes—
500#393C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2314yes—
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#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#383C2312yes—
725#383C2312yes—
726#383C2314yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2314yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#382C2314yes—
743#382C2314yes—
744#382C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C43C2312yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8#4118yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C4⋊Q8—28no—
856C4⋊Q8—28no—
857C4⋊Q8—42no—
858C4⋊Q8—42no—
859#126—44no—
860#126—44no—
861#126—48no—
862#125—48no—
863#125—42no—
864#125—42no—
865#124—28no—
866#124—28no—
867#123—216no—
868#123—216no—
869#123—48no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881#121—44no—
882#121—44no—
883#121—48no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—42no—
899C4×Q8—42no—
900C4×Q8—44no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—48no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—44no—
914#117—44no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—42no—
920C2×C4⋊C4—42no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
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×C42—28no—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42—24no—
1049C2×C42—44no—
1050C2×C42—44no—
1051C2×C42—44no—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2414yes—
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2414yes—
1094#95C2411yescharacteristic
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
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#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2512yes—
1170C24C2512yes—
1171C24C2511yescharacteristic
1172#41—416no—
1173#41—416no—
1174C2×Q8—232no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8C2×#4118yes—
1192C2×Q8C2×#4118yes—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4C2×#4118yes—
1253C22×C4C2×#4114yes—
1254C22×C4H(5,𝔽2)14yes—
1255C22×C42−1+414yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2514yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—28no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—41no—
1321C4⋊C4—44no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—44no—
1325C4⋊C4—41no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C42—28no—
1408C42—28no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—42no—
1435C42—44no—
1436C42—42no—
1437C42—44no—
1438C42—44no—
1439C42—42no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23C22×#4112yes—
1459C23C2×H(5,𝔽2)12yes—
1460C23C2×2−1+412yes—
1461C23C2611yescharacteristic
1462Q8—216no—
1463Q8—216no—
1464Q8—44no—
1465Q8—44no—
1466Q8—84no—
1467Q8—84no—
1468D4—48no—
1469D4—48no—
1470D4—44no—
1471D4—44no—
1472D4—164no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—216no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—44no—
1566C2×C4—48no—
1567C2×C4—48no—
1568C2×C4—84no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—84no—
1572C2×C4—84no—
1573C2×C4—84no—
1574C2×C4—164no—
1575C2×C4#539116yes—
1576C2×C4C22×#4118yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×2−1+412yes—
1582C2×C4C2×2−1+412yes—
1583C2×C4#58512yes—
1584C2×C4#58512yes—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22C2×#53914yes—
1606C22C23×#4111yescharacteristic
1607C22C22×H(5,𝔽2)11yescharacteristic
1608C22C22×2−1+411yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C222−1+611yescharacteristic
1612C222−1+611yescharacteristic
1613C4—28no—
1614C4—22no—
1615C4—22no—
1616C4—42no—
1617C4—42no—
1618C4—41no—
1619C4—41no—
1620C4—44no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—44no—
1633C4—44no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4C2×#53914yes—
1644C4C2×#53914yes—
1645C2—24no—
1646C2—82no—
1647C2—82no—
1648C2C22×#53911yescharacteristic
1649C2#6279311yescharacteristic
1650C2#6285011yescharacteristic
1651C2#6295411yescharacteristic
1652C2#6295411yescharacteristic
1653C2#6295611yescharacteristic
1654C2#6295611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42904C2semidirect
2. #42901C2semidirect
3. #42899C2semidirect
4. #42898C2semidirect
5. #42863C2semidirect
6. #42861C2semidirect
7. #42833C2semidirect
8. #42832C2semidirect
9. #40224C2semidirect
10. #40220C2semidirect
11. #40123C2semidirect
12. #40119C2semidirect
13. #39794C2semidirect
14. #39791C2semidirect
15. #39226C2semidirect
16. #39223C2semidirect
17. #37525C2semidirect
18. #37141C2semidirect
19. #37124C2semidirect
20. #35627C2semidirect
22. #35545C2semidirect
23. #35519C2semidirect
24. #35265C2semidirect
26. #35182C2semidirect
27. #35182C2semidirect
28. #35179C2semidirect
30. #35075C2semidirect
31. #34816C2semidirect
32. #34745C2semidirect
33. #34266C2semidirect
34. C2×#2351C2semidirect
35. C4×#536C2semidirect

Maximal subgroups

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

subgroupindex
#429042
#429012
#428992
#428982
#428632
#428612
#428332
#428322
#402242
#402202
#401232
#401192
#397942
#397912
#392262
#392232
#375252
#371412
#371242
#356272
#356182
#355452
#355192
#352652
#352552
#351822
#351792
#351532
#350752
#348162
#347452
#342662
C2×#23512
C4×#5362