Finite Group Databasebeta

← #7673909

Subgroups — #7673909

Order 512.

4996 conjugacy classes of subgroups.

The subgroup lattice has 1713 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45342C212yesmaximal, complemented
2#45294C212yesmaximal, complemented
3#45220C212yesmaximal, complemented
4#45198C212yesmaximal, complemented
5#45184C212yesmaximal, complemented
6#45173C212yesmaximal, complemented
7#45015C212yesmaximal, complemented
8#45000C212yesmaximal, complemented
9#39279C214yesmaximal, complemented
10#39276C214yesmaximal, complemented
11#39145C214yesmaximal, complemented
12#39141C214yesmaximal, complemented
13#39058C212yesmaximal, complemented
14#39057C212yesmaximal, complemented
15#39054C212yesmaximal, complemented
16#39053C212yesmaximal, complemented
17#38130C212yesmaximal, complemented
18#38128C212yesmaximal, complemented
19#38124C212yesmaximal, complemented
20#38122C212yesmaximal, complemented
21#35621C211yesmaximal, characteristic, complemented
22#35619C211yesmaximal, characteristic, complemented
23#35585C211yesmaximal, characteristic, complemented
24#35564C211yesmaximal, characteristic
25#35308C211yesmaximal, characteristic, complemented
26#35307C211yesmaximal, characteristic, complemented
27#35160C211yesmaximal, characteristic, complemented
28#35153C211yesmaximal, characteristic, complemented
29#34639C211yesmaximal, characteristic, complemented
30#34274C211yesmaximal, characteristic, complemented
31#34267C211yesmaximal, characteristic, complemented
32#34266C211yesmaximal, characteristic, complemented
33#34250C211yesmaximal, characteristic, complemented
34#34070C211yesmaximal, characteristic, complemented
35C2×#2320C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#536C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48#2857C2212yes—
49#2855C2212yes—
50#2855C2212yes—
51#2854C2214yes—
52#2852C2214yes—
53#2850C2212yes—
54#2802C2214yes—
55#2800C2214yes—
56#2797C2214yes—
57#2793C2214yes—
58#2790C2214yes—
59#2787C2214yes—
60#2786C2214yes—
61#2783C2214yes—
62#2783C2214yes—
63#2782C2214yes—
64#2782C2214yes—
65#2781C2214yes—
66#2781C2214yes—
67#2779C2214yes—
68#2776C2214yes—
69#2776C2214yes—
70#2772C2214yes—
71#2770C2214yes—
72#2770C2214yes—
73#2766C2214yes—
74#2765C2214yes—
75#2765C2214yes—
76#2761C2214yes—
77#2757C2214yes—
78#2757C2214yes—
79#2757C2214yes—
80#2750C2214yes—
81#2749C2214yes—
82#2749C2214yes—
83#2747C2214yes—
84#2725C2214yes—
85#2691C2214yes—
86#2645C2211yescharacteristic
87#2645C2211yescharacteristic
88#2645C2211yescharacteristic
89#2645C2211yescharacteristic
90#2644C2211yescharacteristic
91#2644C2211yescharacteristic
92#2644C2211yescharacteristic
93#2644C2211yescharacteristic
94#2643C2212yes—
95#2643C2212yes—
96#2643C2212yes—
97#2643C2212yes—
98#2643C2214yes—
99#2625C2212yes—
100#2625C2212yes—
101#2621C2212yes—
102#2620C2212yes—
103#2618C2214yes—
104#2608C2214yes—
105#2600C2214yes—
106#2597C2214yes—
107#2594C2214yes—
108#2590C2214yes—
109#2587C2214yes—
110#2585C2214yes—
111#2579C2214yes—
112#2578C2214yes—
113#2578C2214yes—
114#2577C2214yes—
115#2576C2214yes—
116#2573C2214yes—
117#2570C2214yes—
118#2569C2214yes—
119#2569C2214yes—
120#2566C2214yes—
121#2547C2212yes—
122#2546C2212yes—
123#2545C2212yes—
124#2544C2212yes—
125#2543C2214yes—
126#2525C2214yes—
127#2525C2214yes—
128#2515C2214yes—
129#2515C2214yes—
130#2514C2212yes—
131#2513C2212yes—
132#2513C2214yes—
133#2512C2212yes—
134#2511C2212yes—
135#2510C2214yes—
136#2510C2214yes—
137#2509C2212yes—
138#2509C2212yes—
139#2509C2214yes—
140#2508C2212yes—
141#2508C2212yes—
142#2507C2212yes—
143#2507C2212yes—
144#2506C2212yes—
145#2506C2212yes—
146#2504C2214yes—
147#2503C2212yes—
148#2502C2212yes—
149#2499C2212yes—
150#2499C2212yes—
151#2497C2212yes—
152#2496C2212yes—
153#2495C2212yes—
154#2494C2212yes—
155#2494C2214yes—
156#2481C2214yes—
157#2466C2214yes—
158#2460C2214yes—
159#2447C2212yes—
160#2447C2212yes—
161#2447C2212yes—
162#2447C2212yes—
163#2446C2212yes—
164#2446C2212yes—
165#2446C2212yes—
166#2446C2212yes—
167#2444C2214yes—
168#2442C2214yes—
169#2442C2214yes—
170#2429C2212yes—
171#2429C2212yes—
172#2429C2212yes—
173#2429C2212yes—
174#2429C2212yes—
175#2429C2212yes—
176#2429C2212yes—
177#2428C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2426C2212yes—
184#2426C2212yes—
185#2426C2212yes—
186#2425C2214yes—
187#2425C2214yes—
188#2425C2214yes—
189#2425C2214yes—
190#2420C2214yes—
191#2419C2214yes—
192#2419C2214yes—
193#2419C2214yes—
194#2419C2214yes—
195#2417C2212yes—
196#2417C2212yes—
197#2417C2212yes—
198#2416C2214yes—
199#2416C2212yes—
200#2415C2212yes—
201#2415C2212yes—
202#2415C2212yes—
203#2414C2212yes—
204#2401C2212yes—
205#2401C2212yes—
206#2401C2212yes—
207#2401C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2365C2212yes—
211#2365C2212yes—
212#2364C2214yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2362C2212yes—
217#2362C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2361C2214yes—
222#2361C2212yes—
223#2361C2212yes—
224#2361C2212yes—
225#2360C2212yes—
226#2360C2212yes—
227#2360C2212yes—
228#2360C2212yes—
229#2360C2212yes—
230#2351C2212yes—
231Q8×C4⋊C4C2212yes—
232#2349C2214yes—
233#2349C2212yes—
234D4×C4⋊C4C2214yes—
235D4×C4⋊C4C2212yes—
236#2328C2211yescharacteristic
237#2328C2211yescharacteristic
238#2327C2211yescharacteristic
239#2327C2211yescharacteristic
240#2326C2211yescharacteristic
241#2326C2211yescharacteristic
242#2326C2211yescharacteristic
243#2326C2211yescharacteristic
244#2325C2212yes—
245#2325C2212yes—
246#2325C2212yes—
247#2325C2212yes—
248#2325C2214yes—
249#2324C2212yes—
250#2323C2212yes—
251#2322C2214yes—
252#2320C2212yes—
253#2320C2212yes—
254#2320C2212yes—
255#2320C2212yes—
256#2320C2212yes—
257#2320C2212yes—
258#2320C2212yes—
259#2320C2212yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2212yes—
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2212yes—
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2310C2211yescharacteristic
269C4×C22⋊Q8C2212yes—
270C4×#123C2214yes—
271C4×#121C2214yes—
272C4×#121C2212yes—
273#2297C2211yescharacteristic
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2212yes—
282C2×#391C2211yescharacteristic
283C2×#391C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#389C2212yes—
287#2290C2212yes—
288#2290C2212yes—
289#2290C2212yes—
290#2290C2212yes—
291C2×#387C2212yes—
292C2×#387C2212yes—
293#2285C2211yescharacteristic
294C2×#383C2212yes—
295C2×#382C2212yes—
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303#537—28no—
304#537—28no—
305#536—28no—
306#536—44no—
307#536—44no—
308#532—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#126C2314yes—
315C2×#125C2314yes—
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343#520—28no—
344#520—44no—
345#520—44no—
346C4×#41—44no—
347C4×#41—44no—
348C2×C4×Q8—28no—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C42C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2312yes—
404C22×C42C2312yes—
405#401C2312yes—
406#401C2312yes—
407#401C2312yes—
408#401C2312yes—
409#401C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#392C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2314yes—
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
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#389C2314yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
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#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
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#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#384C2314yes—
724#384C2312yes—
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#383C2314yes—
729#383C2314yes—
730#383C2314yes—
731#383C2314yes—
732#383C2314yes—
733#382C2314yes—
734#382C2314yes—
735#382C2314yes—
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2314yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
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×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
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—
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2311yescharacteristic
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810C2×#95C2312yes—
811C2×#95C2314yes—
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41#4118yes—
831C22×Q8—24no—
832C22×Q8—24no—
833C22×Q8—24no—
834C22×Q8C2412yes—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C4⋊Q8—24no—
871C4⋊Q8—28no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874#127—24no—
875#126—84no—
876#125—84no—
877#124—24no—
878#124—24no—
879#124—28no—
880#124—44no—
881#124—44no—
882#123—216no—
883#123—48no—
884#123—48no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—216no—
899#121—28no—
900#121—216no—
901#121—28no—
902#121—28no—
903#121—84no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—28no—
909C4×Q8—42no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×Q8—42no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×D4—216no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—42no—
920C4×D4—42no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4—48no—
931C4×D4—84no—
932C4×D4—84no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—24no—
938#117—28no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—44no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—82no—
950C2×C4⋊C4—84no—
951C2×C4⋊C4—82no—
952C2×C4⋊C4#4118yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C42—24no—
1067C2×C42—28no—
1068C2×C42—24no—
1069C2×C42—24no—
1070C2×C42—44no—
1071C2×C42—44no—
1072C2×C42—82no—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24C2512yes—
1188C24C2512yes—
1189C24C2512yes—
1190C24C2511yescharacteristic
1191#41—232no—
1192#41—416no—
1193#41—416no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—416no—
1209C2×Q8C2×#4114yes—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—28no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4C2×#4118yes—
1239C2×D4C2×#4114yes—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4C2×#4118yes—
1299C22×C4C2×#4118yes—
1300C22×C4C2×#4114yes—
1301C22×C4C2×#4114yes—
1302C22×C4H(5,𝔽2)14yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2514yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C4⋊C4—22no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—28no—
1346C4⋊C4—28no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4C2×#4118yes—
1396C4⋊C4C2×#4118yes—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
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—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—28no—
1454C42—28no—
1455C42—22no—
1456C42—22no—
1457C42—28no—
1458C42—24no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—42no—
1468C42—42no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23C22×#4114yes—
1502C23C22×#4112yes—
1503C23C22×#4112yes—
1504C23C2×H(5,𝔽2)12yes—
1505C23C2611yescharacteristic
1506Q8—28no—
1507Q8—48no—
1508Q8—48no—
1509Q8—44no—
1510Q8—44no—
1511D4—216no—
1512D4—28no—
1513D4—48no—
1514D4—48no—
1515D4—44no—
1516D4—44no—
1517D4—88no—
1518D4—88no—
1519D4—84no—
1520D4—84no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—216no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
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—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—48no—
1613C2×C4—88no—
1614C2×C4—82no—
1615C2×C4—84no—
1616C2×C4—82no—
1617C2×C4—82no—
1618C2×C4—84no—
1619C2×C4—82no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—164no—
1625C2×C4—164no—
1626C2×C4#553116yes—
1627C2×C4C22×#4118yes—
1628C2×C4C22×#4114yes—
1629C2×C4C22×#4112yes—
1630C2×C4C22×#4112yes—
1631C2×C4C22×#4112yes—
1632C2×C4C22×#4112yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×H(5,𝔽2)12yes—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—24no—
1642C22—24no—
1643C22—24no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22C2×#55314yes—
1663C22C23×#4111yescharacteristic
1664C22C23×#4111yescharacteristic
1665C22C22×H(5,𝔽2)11yescharacteristic
1666C22H(7,𝔽2)11yescharacteristic
1667C222−1+611yescharacteristic
1668C222−1+611yescharacteristic
1669C222−1+611yescharacteristic
1670C4—28no—
1671C4—24no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—41no—
1678C4—42no—
1679C4—41no—
1680C4—44no—
1681C4—41no—
1682C4—42no—
1683C4—41no—
1684C4—41no—
1685C4—42no—
1686C4—41no—
1687C4—41no—
1688C4—42no—
1689C4—44no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—44no—
1699C4C2×#55314yes—
1700C4C2×#55314yes—
1701C2—24no—
1702C2—44no—
1703C2—82no—
1704C2—82no—
1705C2C22×#55311yescharacteristic
1706C2#6284711yescharacteristic
1707C2#6285011yescharacteristic
1708C2#6285711yescharacteristic
1709C2#6286111yescharacteristic
1710C2#6287811yescharacteristic
1711C2#6288811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35564C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45342C2semidirect
2. #45294C2semidirect
3. #45220C2semidirect
4. #45198C2semidirect
5. #45184C2semidirect
6. #45173C2semidirect
7. #45015C2semidirect
8. #45000C2semidirect
9. #39279C2semidirect
10. #39276C2semidirect
11. #39145C2semidirect
12. #39141C2semidirect
13. #39058C2semidirect
14. #39057C2semidirect
15. #39054C2semidirect
16. #39053C2semidirect
17. #38130C2semidirect
18. #38128C2semidirect
19. #38124C2semidirect
20. #38122C2semidirect
21. #35621C2semidirect
22. #35619C2semidirect
23. #35585C2semidirect
25. #35308C2semidirect
26. #35307C2semidirect
27. #35160C2semidirect
28. #35153C2semidirect
29. #34639C2semidirect
30. #34274C2semidirect
31. #34267C2semidirect
32. #34266C2semidirect
33. #34250C2semidirect
34. #34070C2semidirect
35. C2×#2320C2semidirect

Maximal subgroups

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

subgroupindex
#453422
#452942
#452202
#451982
#451842
#451732
#450152
#450002
#392792
#392762
#391452
#391412
#390582
#390572
#390542
#390532
#381302
#381282
#381242
#381222
#356212
#356192
#355852
#355642
#353082
#353072
#351602
#351532
#346392
#342742
#342672
#342662
#342502
#340702
C2×#23202