Finite Group Databasebeta

← #7673867

Subgroups — #7673867

Order 512.

5196 conjugacy classes of subgroups.

The subgroup lattice has 1815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45399C212yesmaximal, complemented
2#45397C212yesmaximal, complemented
3#45374C212yesmaximal, complemented
4#45372C212yesmaximal, complemented
5#45162C212yesmaximal, complemented
6#45011C212yesmaximal, complemented
7#44978C212yesmaximal, complemented
8#44976C212yesmaximal, complemented
9#39813C214yesmaximal, complemented
10#39812C214yesmaximal, complemented
11#39732C214yesmaximal, complemented
12#39729C214yesmaximal, complemented
13#39057C212yesmaximal, complemented
14#39056C212yesmaximal, complemented
15#39053C212yesmaximal, complemented
16#39052C212yesmaximal, complemented
17#38217C212yesmaximal, complemented
18#38216C212yesmaximal, complemented
19#38213C212yesmaximal, complemented
20#38212C212yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35517C211yesmaximal, characteristic, complemented
25#35267C211yesmaximal, characteristic, complemented
26#35255C211yesmaximal, characteristic, complemented
27#35223C211yesmaximal, characteristic, complemented
28#35150C211yesmaximal, characteristic, complemented
29#34633C211yesmaximal, characteristic, complemented
30#34267C211yesmaximal, characteristic, complemented
31#34253C211yesmaximal, characteristic, complemented
32#34201C211yesmaximal, characteristic, complemented
33#34200C211yesmaximal, characteristic, complemented
34#34065C211yesmaximal, characteristic, complemented
35C2×#2317C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×#117C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C23×C4⋊C4C2211yescharacteristic
48#2863C2212yescomplemented
49#2860C2212yescomplemented
50#2855C2212yescomplemented
51#2854C2214yes—
52#2854C2212yescomplemented
53#2847C2214yes—
54#2797C2214yes—
55#2796C2214yes—
56#2795C2214yescomplemented
57#2795C2214yescomplemented
58#2793C2214yescomplemented
59#2793C2214yescomplemented
60#2790C2214yescomplemented
61#2790C2214yescomplemented
62#2787C2214yes—
63#2782C2214yes—
64#2781C2214yes—
65#2779C2214yes—
66#2778C2214yes—
67#2772C2214yescomplemented
68#2772C2214yescomplemented
69#2770C2214yes—
70#2766C2214yescomplemented
71#2766C2214yescomplemented
72#2761C2214yescomplemented
73#2761C2214yescomplemented
74#2757C2214yes—
75#2753C2214yes—
76#2753C2214yescomplemented
77#2753C2214yescomplemented
78#2749C2214yes—
79#2746C2214yes—
80#2718C2214yescomplemented
81#2718C2214yescomplemented
82#2714C2214yes—
83#2711C2214yes—
84#2708C2214yes—
85#2688C2214yes—
86#2645C2212yescomplemented
87#2644C2212yescomplemented
88#2625C2212yescomplemented
89#2624C2212yescomplemented
90#2621C2211yescharacteristic
91#2621C2211yescharacteristic
92#2620C2211yescharacteristic
93#2620C2211yescharacteristic
94#2620C2211yescharacteristic
95#2620C2211yescharacteristic
96#2619C2211yescharacteristic
97#2619C2211yescharacteristic
98#2618C2212yes—
99#2618C2214yes—
100#2618C2212yes—
101#2617C2212yes—
102#2617C2212yes—
103#2617C2214yes—
104#2603C2214yes—
105#2602C2214yes—
106#2600C2214yes—
107#2598C2214yes—
108#2597C2214yes—
109#2595C2214yes—
110#2578C2214yes—
111#2577C2214yes—
112#2576C2214yes—
113#2576C2214yescomplemented
114#2576C2214yescomplemented
115#2570C2214yescomplemented
116#2569C2214yes—
117#2566C2214yescomplemented
118#2559C2214yes—
119#2543C2214yes—
120#2530C2214yes—
121#2529C2214yescomplemented
122#2529C2214yescomplemented
123#2518C2214yescomplemented
124#2518C2214yescomplemented
125#2515C2214yescomplemented
126#2515C2214yescomplemented
127#2514C2212yescomplemented
128#2513C2212yescomplemented
129#2512C2214yescomplemented
130#2512C2212yescomplemented
131#2511C2212yescomplemented
132#2510C2214yes—
133#2510C2214yes—
134#2509C2212yescomplemented
135#2509C2212yescomplemented
136#2508C2212yescomplemented
137#2508C2212yescomplemented
138#2507C2212yescomplemented
139#2507C2212yescomplemented
140#2507C2214yescomplemented
141#2506C2212yescomplemented
142#2506C2212yescomplemented
143#2500C2214yescomplemented
144#2497C2214yescomplemented
145#2497C2212yescomplemented
146#2497C2212yescomplemented
147#2496C2212yescomplemented
148#2496C2212yescomplemented
149#2495C2212yescomplemented
150#2495C2212yescomplemented
151#2494C2212yescomplemented
152#2494C2212yescomplemented
153#2487C2212yescomplemented
154#2486C2212yescomplemented
155#2485C2212yescomplemented
156#2485C2212yescomplemented
157#2481C2214yes—
158#2481C2214yes—
159#2476C2214yes—
160#2468C2214yes—
161#2464C2214yes—
162#2460C2214yes—
163#2456C2214yes—
164#2448C2212yescomplemented
165#2447C2212yescomplemented
166#2446C2212yescomplemented
167#2445C2212yescomplemented
168#2444C2214yes—
169#2444C2214yes—
170#2443C2214yes—
171#2443C2214yes—
172#2442C2214yes—
173#2441C2214yescomplemented
174#2429C2212yescomplemented
175#2428C2212yescomplemented
176#2427C2212yescomplemented
177#2426C2212yescomplemented
178#2423C2212yescomplemented
179#2422C2214yescomplemented
180#2422C2212yescomplemented
181#2421C2212yescomplemented
182#2420C2212yescomplemented
183#2417C2212yes—
184#2417C2212yes—
185#2417C2212yes—
186#2417C2212yes—
187#2417C2212yescomplemented
188#2416C2214yes—
189#2416C2212yes—
190#2416C2212yes—
191#2416C2212yes—
192#2416C2212yes—
193#2416C2212yescomplemented
194#2415C2212yes—
195#2415C2212yes—
196#2415C2212yes—
197#2415C2212yes—
198#2415C2212yescomplemented
199#2414C2212yes—
200#2414C2212yes—
201#2414C2212yes—
202#2414C2212yes—
203#2414C2212yescomplemented
204#2392C2212yes—
205#2392C2212yes—
206#2392C2212yes—
207#2392C2212yes—
208#2364C2214yes—
209#2363C2212yes—
210#2363C2212yes—
211#2363C2212yescomplemented
212#2362C2212yes—
213#2362C2212yes—
214#2362C2212yescomplemented
215#2361C2214yes—
216#2361C2212yes—
217#2361C2212yes—
218#2361C2212yescomplemented
219#2360C2212yes—
220#2360C2212yes—
221#2360C2212yescomplemented
222#2354C2212yes—
223#2354C2212yes—
224#2353C2214yes—
225#2352C2214yes—
226#2352C2212yes—
227#2352C2212yes—
228#2352C2212yes—
229#2352C2212yes—
230D4×C4⋊C4C2212yes—
231D4×C4⋊C4C2212yes—
232#2347C2212yescomplemented
233#2346C2212yescomplemented
234#2345C2212yescomplemented
235#2344C2212yescomplemented
236#2324C2211yescharacteristic
237#2324C2211yescharacteristic
238#2324C2211yescharacteristic
239#2324C2211yescharacteristic
240#2324C2212yescomplemented
241#2323C2211yescharacteristic
242#2323C2211yescharacteristic
243#2323C2211yescharacteristic
244#2323C2211yescharacteristic
245#2323C2212yescomplemented
246#2322C2212yes—
247#2322C2212yes—
248#2322C2214yes—
249#2321C2212yes—
250#2321C2212yes—
251#2321C2214yes—
252#2320C2212yescomplemented
253#2319C2212yescomplemented
254#2317C2211yescharacteristic
255#2317C2212yes—
256#2317C2212yes—
257#2317C2212yes—
258#2317C2212yes—
259#2317C2212yes—
260#2317C2212yes—
261#2317C2212yes—
262#2317C2212yes—
263#2317C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×C22⋊Q8C2212yescomplemented
273C4×#123C2214yes—
274C4×#121C2212yescomplemented
275C4×#120C2214yes—
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2296C2211yescharacteristic
280#2295C2212yescomplemented
281#2293C2212yes—
282#2293C2212yes—
283#2293C2212yescomplemented
284C2×#389C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#389C2211yescharacteristic
288#2290C2212yes—
289#2290C2212yes—
290C2×#385C2212yes—
291C2×#385C2212yes—
292#2285C2211yescharacteristic
293C2×#384C2212yes—
294C2×#382C2212yes—
295#2280C2211yescharacteristic
296#2274C2211yescharacteristic
297#2274C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#537—28no—
305#537—44no—
306#532—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2314yes—
312C2×#124C2311yescharacteristic
313C2×#124C2311yescharacteristic
314#525—28no—
315#525—28no—
316#525—28no—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#120C2312yes—
350C2×#120C2312yes—
351C2×#120C2312yes—
352#520—28no—
353#520—44no—
354C4×#41—44no—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×D4C2312yes—
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×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×#117—28no—
379C2×#117—44no—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2314yes—
401C22×C4⋊C4—44no—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2311yescharacteristic
404C22×C4⋊C4C2311yescharacteristic
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C42C2312yes—
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426#401C2314yes—
427#401C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#399C2314yes—
441#399C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2312yes—
482#396C2312yes—
483#396C2312yes—
484#396C2312yes—
485#396C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#392C2312yes—
516#392C2314yes—
517#392C2312yes—
518#392C2314yes—
519#392C2312yes—
520#392C2312yes—
521#392C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2314yes—
553#390C2314yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
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#387C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#384C2314yes—
727#384C2314yes—
728#384C2314yes—
729#384C2314yes—
730#384C2312yes—
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#383C2314yes—
735#383C2314yes—
736#383C2314yes—
737#382C2314yes—
738#382C2314yes—
739#382C2314yes—
740#382C2314yes—
741#382C2314yes—
742#382C2314yes—
743#382C2312yes—
744#382C2312yes—
745#382C2311yescharacteristic
746#382C2311yescharacteristic
747#381C2314yes—
748#381C2314yes—
749#381C2312yes—
750#381C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2314yes—
774#380C2312yes—
775#379C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816#376C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C23×C4—24no—
852C23×C4—24no—
853C23×C4—44no—
854C23×C4—82no—
855C23×C4—82no—
856C23×C4#4118yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C4⋊Q8—42no—
881#127—42no—
882#126—84no—
883#126—84no—
884#125—84no—
885#124—42no—
886#124—42no—
887#123—28no—
888#123—28no—
889#123—28no—
890#123—84no—
891#123—84no—
892C22⋊Q8—24no—
893C22⋊Q8—24no—
894C22⋊Q8—24no—
895C22⋊Q8—24no—
896C22⋊Q8—24no—
897C22⋊Q8—24no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902#121—24no—
903#121—24no—
904#121—24no—
905#121—24no—
906#121—24no—
907#121—24no—
908#121—216no—
909#121—28no—
910#121—28no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—48no—
916#121—84no—
917#121—84no—
918#121—84no—
919#120—28no—
920#120—28no—
921#120—28no—
922C4×Q8—28no—
923C4×Q8—42no—
924C4×Q8—42no—
925C4×Q8—44no—
926C4×D4—216no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—42no—
935C4×D4—42no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—48no—
942C4×D4—84no—
943C4×D4—84no—
944C4×D4—84no—
945#117—24no—
946#117—24no—
947#117—24no—
948#117—24no—
949#117—24no—
950#117—28no—
951#117—28no—
952#117—28no—
953#117—28no—
954#117—28no—
955#117—42no—
956#117—42no—
957#117—42no—
958#117—42no—
959#117—42no—
960#117—42no—
961#117—42no—
962#117—42no—
963#117—44no—
964#117—44no—
965#117—84no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—28no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4—44no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—42no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—82no—
979C2×C4⋊C4—82no—
980C2×C4⋊C4—82no—
981C2×C4⋊C4—82no—
982C2×C4⋊C4#4118yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C22⋊C4—28no—
1050C2×C22⋊C4—42no—
1051C2×C22⋊C4—42no—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C42—28no—
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42—44no—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24—22no—
1211C24—22no—
1212C24—41no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24C2×#4114yes—
1217C24C2512yes—
1218C24C2512yes—
1219C24C2512yes—
1220C24C2511yescharacteristic
1221C24C2511yescharacteristic
1222C24C2511yescharacteristic
1223#41—416no—
1224#41—416no—
1225#41—416no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—28no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—232no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—816no—
1345C22×C4C2×#4114yes—
1346C22×C4C2×#4114yes—
1347C22×C4C2×#4114yes—
1348C22×C4C2×#4114yes—
1349C22×C4C2×#4114yes—
1350C22×C4C2×#4118yes—
1351C22×C4C2×#4114yes—
1352C22×C4C2×#4114yes—
1353C22×C4H(5,𝔽2)14yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2514yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2514yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2514yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4C2×#4118yes—
1448C4⋊C4C2×#4118yes—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C42—28no—
1517C42—28no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—28no—
1522C42—24no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—24no—
1532C42—42no—
1533C42—42no—
1534C42—44no—
1535C42—42no—
1536C42—42no—
1537C42—44no—
1538C42—42no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42—42no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—28no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—44no—
1582C23—44no—
1583C23—44no—
1584C23—44no—
1585C23—44no—
1586C23—44no—
1587C23C22×#4112yes—
1588C23C22×#4112yes—
1589C23C22×#4112yes—
1590C23C22×#4112yes—
1591C23C2×H(5,𝔽2)12yes—
1592C23C2611yescharacteristic
1593Q8—44no—
1594Q8—44no—
1595Q8—44no—
1596D4—48no—
1597D4—48no—
1598D4—48no—
1599D4—48no—
1600D4—48no—
1601D4—44no—
1602D4—44no—
1603D4—44no—
1604D4—88no—
1605D4—84no—
1606D4—84no—
1607D4—84no—
1608D4—84no—
1609D4—84no—
1610D4—84no—
1611D4—164no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—28no—
1619C2×C4—28no—
1620C2×C4—28no—
1621C2×C4—28no—
1622C2×C4—28no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—48no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—48no—
1700C2×C4—88no—
1701C2×C4—82no—
1702C2×C4—82no—
1703C2×C4—82no—
1704C2×C4—82no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—88no—
1710C2×C4—88no—
1711C2×C4—164no—
1712C2×C4#553116yes—
1713C2×C4C22×#4118yes—
1714C2×C4C22×#4112yes—
1715C2×C4C22×#4112yes—
1716C2×C4C22×#4112yes—
1717C2×C4C22×#4112yes—
1718C2×C4C22×#4112yes—
1719C2×C4C22×#4112yes—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—416no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22C2×#55314yes—
1765C22C23×#4111yescharacteristic
1766C22C23×#4111yescharacteristic
1767C22C22×H(5,𝔽2)11yescharacteristic
1768C22H(7,𝔽2)11yescharacteristic
1769C22H(7,𝔽2)11yescharacteristic
1770C222−1+611yescharacteristic
1771C222−1+611yescharacteristic
1772C4—28no—
1773C4—22no—
1774C4—22no—
1775C4—42no—
1776C4—42no—
1777C4—44no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—44no—
1788C4—44no—
1789C4—42no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—42no—
1794C4—41no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4C2×#55314yes—
1800C4C2×#55314yes—
1801C2—24no—
1802C2—42no—
1803C2—42no—
1804C2—82no—
1805C2—82no—
1806C2—82no—
1807C2C22×#55311yescharacteristic
1808C2#6284711yescharacteristic
1809C2#6285111yescharacteristic
1810C2#6285611yescharacteristic
1811C2#6285611yescharacteristic
1812C2#6287411yescharacteristic
1813C2#6288611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45399C2semidirect
2. #45397C2semidirect
3. #45374C2semidirect
4. #45372C2semidirect
5. #45162C2semidirect
6. #45011C2semidirect
7. #44978C2semidirect
8. #44976C2semidirect
9. #39813C2semidirect
10. #39812C2semidirect
11. #39732C2semidirect
12. #39729C2semidirect
13. #39057C2semidirect
14. #39056C2semidirect
15. #39053C2semidirect
16. #39052C2semidirect
17. #38217C2semidirect
18. #38216C2semidirect
19. #38213C2semidirect
20. #38212C2semidirect
21. #35585C2semidirect
22. #35564C2semidirect
23. #35545C2semidirect
24. #35517C2semidirect
25. #35267C2semidirect
26. #35255C2semidirect
27. #35223C2semidirect
28. #35150C2semidirect
29. #34633C2semidirect
30. #34267C2semidirect
31. #34253C2semidirect
32. #34201C2semidirect
33. #34200C2semidirect
34. #34065C2semidirect
35. C2×#2317C2semidirect
48. #2863C22semidirect
49. #2860C22semidirect
50. #2855C22semidirect
52. #2854C22semidirect
56. #2795C22semidirect
57. #2795C22semidirect
58. #2793C22semidirect
59. #2793C22semidirect
60. #2790C22semidirect
61. #2790C22semidirect
67. #2772C22semidirect
68. #2772C22semidirect
70. #2766C22semidirect
71. #2766C22semidirect
72. #2761C22semidirect
73. #2761C22semidirect
76. #2753C22semidirect
77. #2753C22semidirect
80. #2718C22semidirect
81. #2718C22semidirect
86. #2645C22semidirect
87. #2644C22semidirect
88. #2625C22semidirect
89. #2624C22semidirect
113. #2576C22semidirect
114. #2576C22semidirect
115. #2570C22semidirect
117. #2566C22semidirect
121. #2529C22semidirect
122. #2529C22semidirect
123. #2518C22semidirect
124. #2518C22semidirect
125. #2515C22semidirect
126. #2515C22semidirect
127. #2514C22semidirect
128. #2513C22semidirect
129. #2512C22semidirect
130. #2512C22semidirect
131. #2511C22semidirect
134. #2509C22semidirect
135. #2509C22semidirect
136. #2508C22semidirect
137. #2508C22semidirect
138. #2507C22semidirect
139. #2507C22semidirect
140. #2507C22semidirect
141. #2506C22semidirect
142. #2506C22semidirect
143. #2500C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
146. #2497C22semidirect
147. #2496C22semidirect
148. #2496C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
151. #2494C22semidirect
152. #2494C22semidirect
153. #2487C22semidirect
154. #2486C22semidirect
155. #2485C22semidirect
156. #2485C22semidirect
164. #2448C22semidirect
165. #2447C22semidirect
166. #2446C22semidirect
167. #2445C22semidirect
173. #2441C22semidirect
174. #2429C22semidirect
175. #2428C22semidirect
176. #2427C22semidirect
177. #2426C22semidirect
178. #2423C22semidirect
179. #2422C22semidirect
180. #2422C22semidirect
181. #2421C22semidirect
182. #2420C22semidirect
187. #2417C22semidirect
193. #2416C22semidirect
198. #2415C22semidirect
203. #2414C22semidirect
211. #2363C22semidirect
214. #2362C22semidirect
218. #2361C22semidirect
221. #2360C22semidirect
232. #2347C22semidirect
233. #2346C22semidirect
234. #2345C22semidirect
235. #2344C22semidirect
240. #2324C22semidirect
245. #2323C22semidirect
252. #2320C22semidirect
253. #2319C22semidirect
272. C4×C22⋊Q8C22semidirect
274. C4×#121C22semidirect
280. #2295C22semidirect
283. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#453992
#453972
#453742
#453722
#451622
#450112
#449782
#449762
#398132
#398122
#397322
#397292
#390572
#390562
#390532
#390522
#382172
#382162
#382132
#382122
#355852
#355642
#355452
#355172
#352672
#352552
#352232
#351502
#346332
#342672
#342532
#342012
#342002
#340652
C2×#23172