Finite Group Databasebeta

← #8174447

Subgroups — #8174447

Order 512.

5485 conjugacy classes of subgroups.

The subgroup lattice has 1857 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59056C211yesmaximal, characteristic, complemented
2#59049C211yesmaximal, characteristic, complemented
3#59039C211yesmaximal, characteristic, complemented
4#59035C211yesmaximal, characteristic, complemented
5#57289C214yesmaximal, complemented
6#57196C214yesmaximal, complemented
7#55173C214yesmaximal, complemented
8#53993C214yesmaximal, complemented
9#53102C212yesmaximal, complemented
10#53060C212yesmaximal, complemented
11#53059C212yesmaximal, complemented
12#53000C212yesmaximal, complemented
13#45068C212yesmaximal, complemented
14#45018C212yesmaximal, complemented
15#42976C212yesmaximal, complemented
16#42893C212yesmaximal, complemented
17#42732C212yesmaximal, complemented
18#42581C212yesmaximal, complemented
19#42483C212yesmaximal, complemented
20#42429C212yesmaximal, complemented
21#39747C211yesmaximal, characteristic, complemented
22#39515C211yesmaximal, characteristic, complemented
23#39387C211yesmaximal, characteristic, complemented
24#39361C211yesmaximal, characteristic, complemented
25#38985C211yesmaximal, characteristic, complemented
26#38953C211yesmaximal, characteristic, complemented
27#37898C212yesmaximal, complemented
28#37748C212yesmaximal, complemented
29#37621C212yesmaximal, complemented
30#37278C212yesmaximal, complemented
31#36185C211yesmaximal, characteristic, complemented
32#36128C211yesmaximal, characteristic, complemented
33#35293C211yesmaximal, characteristic, complemented
34#34914C211yesmaximal, characteristic, complemented
35#34619C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#555C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2212yescomplemented
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#542C2212yescomplemented
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2212yescomplemented
46C2×#532C2211yescharacteristic, complemented
47C2×#529C2212yescomplemented
48#2867C2211yescharacteristic
49#2862C2211yescharacteristic, complemented
50#2858C2211yescharacteristic
51#2858C2211yescharacteristic, complemented
52#2856C2212yescomplemented
53#2850C2212yes—
54#2829C2214yescomplemented
55#2828C2214yescomplemented
56#2828C2214yescomplemented
57#2825C2214yescomplemented
58#2825C2214yescomplemented
59#2825C2214yescomplemented
60#2818C2214yescomplemented
61#2815C2214yescomplemented
62#2813C2214yescomplemented
63#2813C2214yescomplemented
64#2813C2214yescomplemented
65#2812C2214yescomplemented
66#2798C2214yescomplemented
67#2797C2214yescomplemented
68#2778C2214yescomplemented
69#2759C2214yescomplemented
70#2756C2214yescomplemented
71#2750C2214yescomplemented
72#2749C2214yescomplemented
73#2746C2214yescomplemented
74#2733C2214yescomplemented
75#2730C2214yescomplemented
76#2715C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2711C2214yescomplemented
83#2705C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2703C2214yescomplemented
87#2700C2214yescomplemented
88#2697C2214yescomplemented
89#2696C2214yescomplemented
90#2691C2214yescomplemented
91#2691C2214yescomplemented
92#2691C2214yescomplemented
93#2688C2214yescomplemented
94#2686C2214yescomplemented
95#2686C2214yescomplemented
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2684C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2676C2214yescomplemented
103#2676C2214yescomplemented
104#2673C2214yescomplemented
105#2670C2214yes—
106#2670C2214yes—
107#2670C2214yescomplemented
108#2669C2214yes—
109#2669C2214yes—
110#2669C2214yescomplemented
111#2669C2214yescomplemented
112#2668C2214yes—
113#2668C2214yescomplemented
114#2662C2214yescomplemented
115#2662C2214yescomplemented
116#2657C2212yes—
117#2654C2212yescomplemented
118#2653C2212yescomplemented
119#2650C2212yescomplemented
120#2649C2212yescomplemented
121#2648C2214yescomplemented
122#2648C2214yescomplemented
123#2647C2211yescharacteristic, complemented
124#2645C2211yescharacteristic, complemented
125#2644C2211yescharacteristic
126#2644C2212yescomplemented
127#2640C2211yescharacteristic
128#2639C2214yescomplemented
129#2628C2211yescharacteristic, complemented
130#2628C2212yescomplemented
131#2625C2211yescharacteristic, complemented
132#2624C2211yescharacteristic
133#2620C2211yescharacteristic
134#2620C2212yescomplemented
135#2619C2212yes—
136#2619C2212yes—
137#2619C2212yescomplemented
138#2619C2212yescomplemented
139#2617C2214yescomplemented
140#2616C2214yescomplemented
141#2615C2214yescomplemented
142#2597C2214yescomplemented
143#2597C2214yescomplemented
144#2592C2212yes—
145#2592C2212yescomplemented
146#2581C2212yescomplemented
147#2567C2211yescharacteristic, complemented
148#2563C2211yescharacteristic
149#2562C2214yescomplemented
150#2560C2212yescomplemented
151#2559C2212yescomplemented
152#2558C2212yescomplemented
153#2557C2212yescomplemented
154#2554C2214yescomplemented
155#2554C2214yescomplemented
156#2548C2212yes—
157#2548C2211yescharacteristic
158#2548C2212yes—
159#2548C2212yescomplemented
160#2548C2212yescomplemented
161#2547C2211yescharacteristic
162#2544C2212yescomplemented
163#2544C2212yescomplemented
164#2544C2212yescomplemented
165#2544C2212yescomplemented
166#2544C2212yescomplemented
167#2542C2211yescharacteristic
168#2541C2211yescharacteristic
169#2541C2212yes—
170#2541C2211yescharacteristic
171#2541C2212yescomplemented
172#2541C2211yescharacteristic, complemented
173#2541C2212yescomplemented
174#2540C2212yescomplemented
175#2540C2214yescomplemented
176#2538C2212yescomplemented
177#2538C2212yescomplemented
178#2537C2212yes—
179#2537C2212yescomplemented
180#2521C2214yescomplemented
181#2521C2214yescomplemented
182#2514C2212yescomplemented
183#2512C2211yescharacteristic
184#2512C2212yescomplemented
185#2512C2212yescomplemented
186#2512C2212yescomplemented
187#2510C2214yescomplemented
188#2506C2211yescharacteristic, complemented
189#2500C2212yes—
190#2500C2212yes—
191#2499C2212yescomplemented
192#2496C2211yescharacteristic, complemented
193#2495C2212yescomplemented
194#2494C2212yescomplemented
195#2491C2211yescharacteristic
196#2472C2214yescomplemented
197#2467C2214yescomplemented
198#2452C2212yescomplemented
199#2452C2211yescharacteristic, complemented
200#2448C2212yes—
201#2448C2212yescomplemented
202#2447C2212yescomplemented
203#2445C2211yescharacteristic
204#2445C2212yes—
205#2445C2212yes—
206#2444C2214yescomplemented
207#2435C2212yes—
208#2433C2212yes—
209#2433C2212yes—
210#2433C2212yes—
211#2433C2212yes—
212#2431C2212yes—
213#2431C2214yescomplemented
214#2431C2212yescomplemented
215#2431C2212yescomplemented
216#2431C2212yescomplemented
217#2431C2214yescomplemented
218#2431C2212yescomplemented
219#2431C2212yescomplemented
220#2430C2214yescomplemented
221#2430C2214yescomplemented
222#2428C2212yes—
223#2428C2212yes—
224#2428C2211yescharacteristic
225#2428C2212yes—
226#2428C2212yes—
227#2428C2212yescomplemented
228#2428C2212yescomplemented
229#2428C2212yescomplemented
230#2428C2214yescomplemented
231#2427C2212yes—
232#2427C2212yescomplemented
233#2427C2212yescomplemented
234#2427C2212yescomplemented
235#2427C2212yescomplemented
236#2426C2212yescomplemented
237#2422C2212yes—
238#2422C2212yescomplemented
239#2422C2211yescharacteristic, complemented
240#2420C2212yescomplemented
241#2418C2214yes—
242#2418C2214yescomplemented
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2414C2212yescomplemented
249#2414C2212yescomplemented
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2407C2212yes—
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2404C2214yescomplemented
258#2401C2212yescomplemented
259#2398C2212yescomplemented
260#2398C2212yescomplemented
261#2396C2212yescomplemented
262#2395C2212yescomplemented
263#2392C2212yescomplemented
264#2369C2211yescharacteristic, complemented
265#2366C2211yescharacteristic
266#2366C2212yescomplemented
267#2366C2211yescharacteristic, complemented
268#2365C2211yescharacteristic, complemented
269#2363C2212yescomplemented
270#2363C2212yescomplemented
271#2363C2212yescomplemented
272#2362C2212yescomplemented
273#2362C2212yescomplemented
274#2349C2212yescomplemented
275#2341C2212yescomplemented
276#2339C2212yescomplemented
277D4×C22⋊C4C2212yes—
278#2328C2212yescomplemented
279#2328C2212yescomplemented
280#2326C2212yescomplemented
281#2319C2212yescomplemented
282#2314C2212yescomplemented
283#2309C2212yes—
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×#127C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic, complemented
292#2295C2211yescharacteristic, complemented
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yescomplemented
296#2285C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#556—44no—
306#555—44no—
307#550—48no—
308#550—44no—
309#546—48no—
310D42—44no—
311#542—48no—
312#535—48no—
313#532—44no—
314#532—48no—
315#532—44no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2314yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334#529—48no—
335C2×#126C2312yes—
336C2×#126C2312yes—
337C2×#126C2314yes—
338C2×#126C2314yes—
339C2×#126C2314yes—
340C2×#125C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2314yes—
349C2×#124C2312yes—
350C2×#124C2314yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2314yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2311yescharacteristic
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×#117C2312yes—
431C2×#117C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C22×C22⋊C4C2314yes—
438C22×C42C2312yes—
439C22×C42C2311yescharacteristic
440#401C2312yes—
441#401C2314yes—
442#400C2312yes—
443#400C2314yes—
444#400C2312yes—
445#400C2314yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#399C2314yes—
454#399C2312yes—
455#399C2312yes—
456#399C2314yes—
457#399C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2314yes—
480#397C2312yes—
481#397C2312yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2312yes—
492#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#396C2312yes—
496#396C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#393C2312yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2312yes—
549#393C2312yes—
550#393C2312yes—
551#393C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2312yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2314yes—
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2314yes—
638#390C2314yes—
639#390C2314yes—
640#390C2314yes—
641#390C2311yescharacteristic
642#390C2311yescharacteristic
643#390C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2312yes—
753#384C2312yes—
754#383C2314yes—
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2311yescharacteristic
759#381C2314yes—
760#381C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2314yes—
771#380C2314yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
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⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2311yescharacteristic
818#376C2311yescharacteristic
819C2×#95C2314yes—
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—48no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—48no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—82no—
833C2×#41—84no—
834C2×#41—82no—
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892C4⋊Q8—24no—
893C4⋊Q8—24no—
894#127—28no—
895#127—24no—
896#127—24no—
897#127—44no—
898#127—44no—
899#127—42no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—44no—
905#127—84no—
906#127—82no—
907#127—82no—
908#126—44no—
909#126—44no—
910#126—48no—
911#126—48no—
912#126—84no—
913#125—44no—
914#124—24no—
915#124—44no—
916#124—44no—
917#124—44no—
918#124—44no—
919#124—48no—
920#124—44no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—48no—
925#124—48no—
926#124—82no—
927#124—82no—
928#123—48no—
929#123—44no—
930#123—44no—
931#123—48no—
932#123—84no—
933C22⋊Q8—28no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—42no—
937C22⋊Q8—48no—
938C22⋊Q8—44no—
939C22⋊Q8—84no—
940#121—24no—
941#121—44no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—48no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—42no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—48no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—48no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—84no—
968#121—84no—
969#121—84no—
970#120—48no—
971#120—48no—
972#120—48no—
973#120—48no—
974#120—84no—
975#120—84no—
976#120—84no—
977#120—84no—
978C4×Q8—24no—
979C4×Q8—44no—
980C4×Q8—44no—
981C4×Q8—44no—
982C4×Q8—44no—
983C4×D4—28no—
984C4×D4—28no—
985C4×D4—24no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—42no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—48no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003#117—24no—
1004#117—28no—
1005#117—42no—
1006#117—44no—
1007#117—44no—
1008#117—44no—
1009#117—44no—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C22⋊C4—48no—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C42—28no—
1142C2×C42—24no—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2414yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2514yes—
1236C24C2511yescharacteristic
1237C24C2512yes—
1238C24C2514yes—
1239#41—816no—
1240#41—816no—
1241#41—832no—
1242#41—816no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—22no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×Q8—42no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—28no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—816no—
1352C2×D4—816no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—28no—
1373C22×C4—28no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2514yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2514yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4H(5,𝔽2)14yes—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C42—22no—
1552C42—24no—
1553C42—22no—
1554C42—22no—
1555C42—24no—
1556C42—24no—
1557C42—22no—
1558C42—24no—
1559C42—22no—
1560C42—24no—
1561C42—24no—
1562C42—22no—
1563C42—24no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—44no—
1569C42—44no—
1570C42—44no—
1571C42—41no—
1572C42—41no—
1573C42—44no—
1574C42—41no—
1575C42—41no—
1576C42H(5,𝔽2)14yes—
1577C42H(5,𝔽2)14yes—
1578C23—21no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—24no—
1585C23—22no—
1586C23—24no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—24no—
1591C23—24no—
1592C23—22no—
1593C23—21no—
1594C23—24no—
1595C23—21no—
1596C23—21no—
1597C23—24no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—24no—
1603C23—24no—
1604C23—22no—
1605C23—21no—
1606C23—24no—
1607C23—22no—
1608C23—24no—
1609C23—22no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—21no—
1614C23—22no—
1615C23—24no—
1616C23—22no—
1617C23—24no—
1618C23—21no—
1619C23—22no—
1620C23—88no—
1621C23—88no—
1622C23—88no—
1623C23—164no—
1624C23—164no—
1625C23—164no—
1626C23—164no—
1627C23C2611yescharacteristic
1628Q8—48no—
1629Q8—48no—
1630Q8—44no—
1631Q8—84no—
1632Q8—84no—
1633D4—44no—
1634D4—48no—
1635D4—48no—
1636D4—44no—
1637D4—44no—
1638D4—48no—
1639D4—48no—
1640D4—84no—
1641D4—84no—
1642D4—88no—
1643D4—84no—
1644D4—88no—
1645D4—84no—
1646D4—84no—
1647D4—84no—
1648D4—84no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—88no—
1653D4—88no—
1654D4—88no—
1655D4—88no—
1656D4—164no—
1657D4—164no—
1658D4—164no—
1659D4—164no—
1660D4—164no—
1661D4—164no—
1662D4—164no—
1663D4—164no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—48no—
1742C2×C4—44no—
1743C2×C4—48no—
1744C2×C4—44no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—44no—
1748C2×C4—84no—
1749C2×C4—88no—
1750C2×C4—88no—
1751C2×C4—88no—
1752C2×C4—88no—
1753C2×C4—88no—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)14yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4#58512yes—
1763C2×C4#58512yes—
1764C22—41no—
1765C22—42no—
1766C22—41no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—44no—
1771C22—42no—
1772C22—42no—
1773C22—44no—
1774C22—42no—
1775C22—44no—
1776C22—41no—
1777C22—44no—
1778C22—44no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—44no—
1784C22—44no—
1785C22—41no—
1786C22—42no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—42no—
1791C22—44no—
1792C22—44no—
1793C22—42no—
1794C22—42no—
1795C22—41no—
1796C22—44no—
1797C22—44no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—44no—
1803C22—44no—
1804C22—41no—
1805C22—42no—
1806C22—1616no—
1807C22C22×H(5,𝔽2)11yescharacteristic
1808C22C22×H(5,𝔽2)11yescharacteristic
1809C22C22×H(5,𝔽2)11yescharacteristic
1810C22C2×#58511yescharacteristic
1811C22C2×#58511yescharacteristic
1812C22H(7,𝔽2)11yescharacteristic
1813C22H(7,𝔽2)11yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—24no—
1817C4—22no—
1818C4—41no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—44no—
1825C4—41no—
1826C4—44no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—41no—
1832C4—41no—
1833C4—42no—
1834C4—42no—
1835C4—41no—
1836C4—42no—
1837C4—41no—
1838C4—42no—
1839C4—41no—
1840C4—41no—
1841C4#354614yes—
1842C4#354614yes—
1843C2—81no—
1844C2—82no—
1845C2—84no—
1846C2—84no—
1847C2—82no—
1848C2—82no—
1849C2C2×#354611yescharacteristic
1850C2C2×#354611yescharacteristic
1851C2#6287611yescharacteristic
1852C2#6291211yescharacteristic
1853C2#6292311yescharacteristic
1854C2#6295511yescharacteristic
1855C2#6296611yescharacteristic
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. #59056C2semidirect
2. #59049C2semidirect
3. #59039C2semidirect
4. #59035C2semidirect
5. #57289C2semidirect
6. #57196C2semidirect
7. #55173C2semidirect
8. #53993C2semidirect
9. #53102C2semidirect
10. #53060C2semidirect
11. #53059C2semidirect
12. #53000C2semidirect
13. #45068C2semidirect
14. #45018C2semidirect
15. #42976C2semidirect
16. #42893C2semidirect
17. #42732C2semidirect
18. #42581C2semidirect
19. #42483C2semidirect
20. #42429C2semidirect
21. #39747C2semidirect
22. #39515C2semidirect
23. #39387C2semidirect
24. #39361C2semidirect
25. #38985C2semidirect
26. #38953C2semidirect
27. #37898C2semidirect
28. #37748C2semidirect
29. #37621C2semidirect
30. #37278C2semidirect
31. #36185C2semidirect
32. #36128C2semidirect
33. #35293C2semidirect
34. #34914C2semidirect
35. #34619C2semidirect
36. C2×#556C22semidirect
39. C2×#550C22semidirect
42. C2×#542C22semidirect
45. C2×#532C22semidirect
46. C2×#532C22semidirect
47. C2×#529C22semidirect
49. #2862C22semidirect
51. #2858C22semidirect
52. #2856C22semidirect
54. #2829C22semidirect
55. #2828C22semidirect
56. #2828C22semidirect
57. #2825C22semidirect
58. #2825C22semidirect
59. #2825C22semidirect
60. #2818C22semidirect
61. #2815C22semidirect
62. #2813C22semidirect
63. #2813C22semidirect
64. #2813C22semidirect
65. #2812C22semidirect
66. #2798C22semidirect
67. #2797C22semidirect
68. #2778C22semidirect
69. #2759C22semidirect
70. #2756C22semidirect
71. #2750C22semidirect
72. #2749C22semidirect
73. #2746C22semidirect
74. #2733C22semidirect
75. #2730C22semidirect
76. #2715C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2711C22semidirect
83. #2705C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2703C22semidirect
87. #2700C22semidirect
88. #2697C22semidirect
89. #2696C22semidirect
90. #2691C22semidirect
91. #2691C22semidirect
92. #2691C22semidirect
93. #2688C22semidirect
94. #2686C22semidirect
95. #2686C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2684C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2676C22semidirect
103. #2676C22semidirect
104. #2673C22semidirect
107. #2670C22semidirect
110. #2669C22semidirect
111. #2669C22semidirect
113. #2668C22semidirect
114. #2662C22semidirect
115. #2662C22semidirect
117. #2654C22semidirect
118. #2653C22semidirect
119. #2650C22semidirect
120. #2649C22semidirect
121. #2648C22semidirect
122. #2648C22semidirect
123. #2647C22semidirect
124. #2645C22semidirect
126. #2644C22semidirect
128. #2639C22semidirect
129. #2628C22semidirect
130. #2628C22semidirect
131. #2625C22semidirect
134. #2620C22semidirect
137. #2619C22semidirect
138. #2619C22semidirect
139. #2617C22semidirect
140. #2616C22semidirect
141. #2615C22semidirect
142. #2597C22semidirect
143. #2597C22semidirect
145. #2592C22semidirect
146. #2581C22semidirect
147. #2567C22semidirect
149. #2562C22semidirect
150. #2560C22semidirect
151. #2559C22semidirect
152. #2558C22semidirect
153. #2557C22semidirect
154. #2554C22semidirect
155. #2554C22semidirect
159. #2548C22semidirect
160. #2548C22semidirect
162. #2544C22semidirect
163. #2544C22semidirect
164. #2544C22semidirect
165. #2544C22semidirect
166. #2544C22semidirect
171. #2541C22semidirect
172. #2541C22semidirect
173. #2541C22semidirect
174. #2540C22semidirect
175. #2540C22semidirect
176. #2538C22semidirect
177. #2538C22semidirect
179. #2537C22semidirect
180. #2521C22semidirect
181. #2521C22semidirect
182. #2514C22semidirect
184. #2512C22semidirect
185. #2512C22semidirect
186. #2512C22semidirect
187. #2510C22semidirect
188. #2506C22semidirect
191. #2499C22semidirect
192. #2496C22semidirect
193. #2495C22semidirect
194. #2494C22semidirect
196. #2472C22semidirect
197. #2467C22semidirect
198. #2452C22semidirect
199. #2452C22semidirect
201. #2448C22semidirect
202. #2447C22semidirect
206. #2444C22semidirect
213. #2431C22semidirect
214. #2431C22semidirect
215. #2431C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
218. #2431C22semidirect
219. #2431C22semidirect
220. #2430C22semidirect
221. #2430C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
232. #2427C22semidirect
233. #2427C22semidirect
234. #2427C22semidirect
235. #2427C22semidirect
236. #2426C22semidirect
238. #2422C22semidirect
239. #2422C22semidirect
240. #2420C22semidirect
242. #2418C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2404C22semidirect
258. #2401C22semidirect
259. #2398C22semidirect
260. #2398C22semidirect
261. #2396C22semidirect
262. #2395C22semidirect
263. #2392C22semidirect
264. #2369C22semidirect
266. #2366C22semidirect
267. #2366C22semidirect
268. #2365C22semidirect
269. #2363C22semidirect
270. #2363C22semidirect
271. #2363C22semidirect
272. #2362C22semidirect
273. #2362C22semidirect
274. #2349C22semidirect
275. #2341C22semidirect
276. #2339C22semidirect
278. #2328C22semidirect
279. #2328C22semidirect
280. #2326C22semidirect
281. #2319C22semidirect
282. #2314C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×C4⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
292. #2295C22semidirect
295. #2290C22semidirect
296. #2285C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#590562
#590492
#590392
#590352
#572892
#571962
#551732
#539932
#531022
#530602
#530592
#530002
#450682
#450182
#429762
#428932
#427322
#425812
#424832
#424292
#397472
#395152
#393872
#393612
#389852
#389532
#378982
#377482
#376212
#372782
#361852
#361282
#352932
#349142
#346192