Finite Group Databasebeta

← #7779559

Subgroups — #7779559

Order 512.

5867 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59568C212yesmaximal, complemented
2#59245C211yesmaximal, characteristic, complemented
3#59212C211yesmaximal, characteristic, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59124C211yesmaximal, characteristic, complemented
6#59056C212yesmaximal, complemented
7#51137C214yesmaximal, complemented
8#50148C214yesmaximal, complemented
9#47631C214yesmaximal, complemented
10#46532C214yesmaximal, complemented
11#45716C212yesmaximal, complemented
12#45655C212yesmaximal, complemented
13#44886C212yesmaximal, complemented
14#44871C212yesmaximal, complemented
15#42907C212yesmaximal, complemented
16#42617C212yesmaximal, complemented
17#40030C212yesmaximal, complemented
18#39876C212yesmaximal, complemented
19#39221C212yesmaximal, complemented
20#39138C211yesmaximal, characteristic, complemented
21#39030C212yesmaximal, complemented
22#38956C212yesmaximal, complemented
23#38909C211yesmaximal, characteristic, complemented
24#38214C212yesmaximal, complemented
25#37334C212yesmaximal, complemented
26#36587C211yesmaximal, characteristic, complemented
27#36460C211yesmaximal, characteristic, complemented
28#36455C211yesmaximal, characteristic, complemented
29#36410C211yesmaximal, characteristic, complemented
30#36273C211yesmaximal, characteristic, complemented
31#36126C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#34911C211yesmaximal, characteristic, complemented
34#34495C212yesmaximal, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2212yescomplemented
40C2×#547C2212yescomplemented
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×#537C2211yescharacteristic
44C2×#535C2212yes—
45C2×#532C2212yescomplemented
46C22×#127C2211yescharacteristic
47C2×#529C2211yescharacteristic, complemented
48C2×C4×#41C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic, complemented
50#2860C2212yescomplemented
51#2858C2212yescomplemented
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic
56#2856C2212yescomplemented
57#2854C2212yescomplemented
58#2854C2212yescomplemented
59#2850C2212yescomplemented
60#2828C2214yescomplemented
61#2828C2214yescomplemented
62#2803C2214yescomplemented
63#2803C2214yescomplemented
64#2801C2214yescomplemented
65#2788C2214yes—
66#2779C2214yescomplemented
67#2778C2214yes—
68#2778C2214yescomplemented
69#2778C2214yescomplemented
70#2733C2214yescomplemented
71#2733C2214yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2710C2214yescomplemented
75#2710C2214yescomplemented
76#2709C2214yescomplemented
77#2703C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2703C2214yescomplemented
81#2703C2214yescomplemented
82#2701C2214yescomplemented
83#2700C2214yescomplemented
84#2697C2214yes—
85#2691C2214yescomplemented
86#2688C2214yescomplemented
87#2688C2214yescomplemented
88#2685C2214yes—
89#2684C2214yes—
90#2678C2214yes—
91#2678C2214yes—
92#2676C2214yescomplemented
93#2673C2214yes—
94#2673C2214yes—
95#2673C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2671C2214yescomplemented
99#2670C2214yes—
100#2669C2214yes—
101#2669C2214yes—
102#2653C2214yescomplemented
103#2648C2214yescomplemented
104#2648C2214yescomplemented
105#2635C2214yescomplemented
106#2624C2212yescomplemented
107#2619C2212yes—
108#2619C2212yes—
109#2619C2212yescomplemented
110#2610C2214yescomplemented
111#2604C2212yescomplemented
112#2603C2212yes—
113#2602C2212yes—
114#2602C2212yescomplemented
115#2597C2214yescomplemented
116#2595C2214yescomplemented
117#2592C2211yescharacteristic, complemented
118#2588C2214yescomplemented
119#2584C2211yescharacteristic, complemented
120#2582C2211yescharacteristic, complemented
121#2571C2211yescharacteristic, complemented
122#2568C2212yescomplemented
123#2562C2211yescharacteristic
124#2559C2214yescomplemented
125#2559C2214yescomplemented
126#2557C2214yescomplemented
127#2557C2214yescomplemented
128#2555C2214yescomplemented
129#2551C2211yescharacteristic, complemented
130#2548C2212yes—
131#2548C2211yescharacteristic
132#2548C2212yes—
133#2548C2211yescharacteristic
134#2544C2212yescomplemented
135#2541C2212yes—
136#2541C2211yescharacteristic
137#2541C2212yes—
138#2541C2212yes—
139#2541C2211yescharacteristic
140#2541C2212yes—
141#2541C2214yescomplemented
142#2541C2212yescomplemented
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2540C2211yescharacteristic
146#2537C2211yescharacteristic, complemented
147#2537C2212yescomplemented
148#2535C2212yes—
149#2535C2212yescomplemented
150#2526C2214yescomplemented
151#2513C2212yescomplemented
152#2513C2212yescomplemented
153#2512C2212yescomplemented
154#2511C2212yescomplemented
155#2509C2212yescomplemented
156#2504C2212yescomplemented
157#2504C2212yescomplemented
158#2500C2212yescomplemented
159#2497C2212yes—
160#2494C2212yescomplemented
161#2494C2212yescomplemented
162#2492C2212yes—
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2491C2212yescomplemented
166#2490C2212yescomplemented
167#2485C2212yes—
168#2476C2214yescomplemented
169#2472C2214yes—
170#2470C2214yescomplemented
171#2467C2214yescomplemented
172#2464C2214yescomplemented
173#2461C2214yescomplemented
174#2461C2214yescomplemented
175#2454C2212yescomplemented
176#2452C2212yescomplemented
177#2447C2212yescomplemented
178#2445C2212yes—
179#2445C2212yes—
180#2445C2212yescomplemented
181#2445C2212yescomplemented
182#2444C2214yescomplemented
183#2439C2212yes—
184#2433C2212yes—
185#2433C2212yes—
186#2431C2212yes—
187#2431C2212yes—
188#2431C2214yescomplemented
189#2431C2214yescomplemented
190#2431C2212yescomplemented
191#2431C2214yescomplemented
192#2431C2212yescomplemented
193#2430C2214yescomplemented
194#2428C2212yes—
195#2428C2212yes—
196#2428C2214yescomplemented
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2428C2212yescomplemented
200#2428C2214yescomplemented
201#2427C2214yescomplemented
202#2427C2214yescomplemented
203#2427C2212yescomplemented
204#2426C2212yescomplemented
205#2424C2214yes—
206#2424C2214yes—
207#2420C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2415C2211yescharacteristic
211#2415C2211yescharacteristic, complemented
212#2414C2212yes—
213#2414C2211yescharacteristic
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2414C2214yescomplemented
217#2414C2212yescomplemented
218#2414C2211yescharacteristic, complemented
219#2414C2214yescomplemented
220#2410C2214yes—
221#2410C2214yes—
222#2408C2212yes—
223#2408C2212yes—
224#2408C2212yes—
225#2408C2212yes—
226#2408C2212yes—
227#2408C2212yes—
228#2407C2212yescomplemented
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2404C2214yes—
232#2395C2212yescomplemented
233#2388C2212yes—
234#2376C2214yescomplemented
235#2375C2214yes—
236#2369C2212yescomplemented
237#2367C2212yescomplemented
238#2366C2211yescharacteristic
239#2366C2211yescharacteristic
240#2363C2212yescomplemented
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2363C2212yescomplemented
244#2363C2214yescomplemented
245#2362C2212yes—
246#2361C2212yescomplemented
247#2361C2212yescomplemented
248#2357C2212yescomplemented
249#2357C2212yescomplemented
250#2355C2211yescharacteristic, complemented
251#2354C2211yescharacteristic, complemented
252#2352C2212yes—
253Q8×C4⋊C4C2211yescharacteristic, complemented
254D4×C4⋊C4C2211yescharacteristic, complemented
255#2342C2214yes—
256#2341C2212yescomplemented
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259#2335C2214yescomplemented
260#2333C2214yescomplemented
261#2325C2212yes—
262#2325C2212yescomplemented
263#2324C2212yes—
264#2324C2211yescharacteristic
265#2324C2211yescharacteristic, complemented
266#2324C2212yescomplemented
267#2323C2211yescharacteristic
268#2323C2211yescharacteristic, complemented
269#2323C2212yescomplemented
270#2321C2214yes—
271#2316C2211yescharacteristic, complemented
272#2312C2214yes—
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic, complemented
275#2311C2212yescomplemented
276#2309C2212yes—
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292#2297C2212yescomplemented
293#2293C2212yes—
294#2293C2212yescomplemented
295#2293C2212yescomplemented
296#2285C2211yescharacteristic
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#555—48no—
308#550—44no—
309#550—44no—
310#550—48no—
311#547—48no—
312#546—216no—
313#546—48no—
314#537—28no—
315#535—48no—
316#532—48no—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×#127—44no—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2314yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2314yes—
330C2×#127C2312yes—
331C2×#127C2314yes—
332#529—44no—
333C2×#126C2312yes—
334C2×#126C2314yes—
335C2×#125C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C4×#41—44no—
404C4×#41—44no—
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2314yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×#117C2311yescharacteristic
438C2×#117C2311yescharacteristic
439C2×#117C2312yes—
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2311yescharacteristic
445C2×#117C2314yes—
446C2×#117C2312yes—
447C2×#117C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2312yes—
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2312yes—
457C22×C42C2312yes—
458#401C2314yes—
459#400C2312yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#399C2312yes—
466#399C2314yes—
467#398C2314yes—
468#398C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#395C2312yes—
487#395C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#393C2312yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2312yes—
534#392C2312yes—
535#392C2312yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#391C2312yes—
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2312yes—
558#391C2314yes—
559#391C2314yes—
560#391C2312yes—
561#391C2314yes—
562#391C2311yescharacteristic
563#391C2311yescharacteristic
564#391C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
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#386C2312yes—
720#386C2312yes—
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#386C2314yes—
735#386C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2314yes—
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#381C2314yes—
756#381C2314yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C2×#95C2312yes—
823C43C2312yes—
824C25C2414yes—
825C2×#41—24no—
826C2×#41—28no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—42no—
831C2×#41—48no—
832C2×#41—42no—
833C2×#41—48no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—84no—
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
842C22×Q8C2411yescharacteristic
843C22×Q8C2414yes—
844C22×D4—28no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—82no—
852C22×D4—82no—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2411yescharacteristic
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C4⋊Q8—28no—
907C4⋊Q8—44no—
908#127—24no—
909#127—24no—
910#127—44no—
911#127—44no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—44no—
916#127—44no—
917#127—48no—
918#127—48no—
919#127—84no—
920#126—44no—
921#126—84no—
922#125—42no—
923#124—28no—
924#124—42no—
925#124—44no—
926#124—48no—
927#124—48no—
928#124—48no—
929#124—48no—
930#124—84no—
931#123—216no—
932#123—48no—
933#123—48no—
934#123—44no—
935#123—48no—
936#123—84no—
937C22⋊Q8—24no—
938C22⋊Q8—28no—
939C22⋊Q8—24no—
940C22⋊Q8—48no—
941C22⋊Q8—42no—
942C22⋊Q8—42no—
943C22⋊Q8#4118yescomplemented
944#121—24no—
945#121—28no—
946#121—28no—
947#121—24no—
948#121—28no—
949#121—28no—
950#121—216no—
951#121—24no—
952#121—28no—
953#121—28no—
954#121—28no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—44no—
962#121—42no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—42no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—48no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—82no—
977#121—84no—
978#121—84no—
979#121—84no—
980#121—84no—
981#121—82no—
982#121—82no—
983#121—82no—
984#120—216no—
985#120—48no—
986#120—48no—
987#120—48no—
988#120—84no—
989#120—84no—
990C4×Q8—24no—
991C4×Q8—24no—
992C4×Q8—42no—
993C4×Q8—42no—
994C4×Q8—42no—
995C4×Q8—44no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—42no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—48no—
1020C4×D4—48no—
1021C4×D4—84no—
1022#117—24no—
1023#117—42no—
1024#117—42no—
1025#117—42no—
1026#117—44no—
1027#117—44no—
1028#117—48no—
1029#117—42no—
1030#117—42no—
1031#117—44no—
1032#117—44no—
1033C2×C4⋊C4—24no—
1034C2×C4⋊C4—24no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C22⋊C4—216no—
1088C2×C22⋊C4—48no—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C42—24no—
1168C2×C42—24no—
1169C2×C42—24no—
1170C2×C42—44no—
1171C2×C42—44no—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2414yes—
1189C2×C42C2412yes—
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195C2×C42C2414yes—
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248C24—28no—
1249C24—44no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24C2514yes—
1256C24C2514yes—
1257C24C2511yescharacteristic
1258C24C2512yes—
1259C24C2512yes—
1260C24C2511yescharacteristic
1261C24C2511yescharacteristic
1262#41—416no—
1263#41—416no—
1264#41—816no—
1265#41—816no—
1266#41—832no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—22no—
1271C2×Q8—22no—
1272C2×Q8—22no—
1273C2×Q8—28no—
1274C2×Q8—22no—
1275C2×Q8—41no—
1276C2×Q8—44no—
1277C2×Q8—44no—
1278C2×Q8C2×#4114yes—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—28no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—28no—
1295C2×D4—28no—
1296C2×D4—24no—
1297C2×D4—28no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—22no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—28no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—42no—
1321C2×D4—41no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—42no—
1340C2×D4—44no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—816no—
1379C2×D4—816no—
1380C2×D4—816no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—28no—
1408C22×C4—28no—
1409C22×C4—24no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—28no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—42no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—42no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—42no—
1438C22×C4—44no—
1439C22×C4C2×#4114yes—
1440C22×C4H(5,𝔽2)14yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2514yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2514yes—
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C4⋊C4—24no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—28no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—41no—
1495C4⋊C4—41no—
1496C4⋊C4—41no—
1497C4⋊C4—41no—
1498C4⋊C4—42no—
1499C4⋊C4—41no—
1500C4⋊C4—41no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4C2×#4114yes—
1518C4⋊C4C2×#4118yes—
1519C4⋊C4H(5,𝔽2)14yes—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—28no—
1532C22⋊C4—24no—
1533C22⋊C4—24no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—24no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—28no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—41no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4C2×#4118yes—
1598C42—24no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—22no—
1608C42—24no—
1609C42—24no—
1610C42—24no—
1611C42—24no—
1612C42—24no—
1613C42—24no—
1614C42—42no—
1615C42—42no—
1616C42—42no—
1617C42—42no—
1618C42—42no—
1619C42—44no—
1620C42—44no—
1621C42—44no—
1622C42—44no—
1623C42—42no—
1624C42—42no—
1625C42H(5,𝔽2)14yes—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—24no—
1639C23—21no—
1640C23—22no—
1641C23—24no—
1642C23—22no—
1643C23—21no—
1644C23—24no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—22no—
1649C23—24no—
1650C23—24no—
1651C23—22no—
1652C23—21no—
1653C23—22no—
1654C23—22no—
1655C23—24no—
1656C23—24no—
1657C23—21no—
1658C23—22no—
1659C23—21no—
1660C23—24no—
1661C23—24no—
1662C23—22no—
1663C23—22no—
1664C23—24no—
1665C23—24no—
1666C23—21no—
1667C23—24no—
1668C23—24no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—22no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—88no—
1677C23—88no—
1678C23—164no—
1679C23—164no—
1680C23C22×#4112yes—
1681C23C2×H(5,𝔽2)12yes—
1682C23C2611yescharacteristic
1683Q8—28no—
1684Q8—44no—
1685Q8—44no—
1686Q8—88no—
1687D4—44no—
1688D4—44no—
1689D4—48no—
1690D4—48no—
1691D4—44no—
1692D4—48no—
1693D4—48no—
1694D4—44no—
1695D4—44no—
1696D4—48no—
1697D4—48no—
1698D4—84no—
1699D4—88no—
1700D4—88no—
1701D4—88no—
1702D4—84no—
1703D4—84no—
1704D4—88no—
1705D4—84no—
1706D4—84no—
1707D4—88no—
1708D4—88no—
1709D4—84no—
1710D4—88no—
1711D4—88no—
1712D4—88no—
1713D4—88no—
1714D4—164no—
1715D4—164no—
1716D4—164no—
1717D4—164no—
1718D4—164no—
1719D4—164no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—28no—
1733C2×C4—28no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—48no—
1795C2×C4—44no—
1796C2×C4—48no—
1797C2×C4—44no—
1798C2×C4—48no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—44no—
1802C2×C4—48no—
1803C2×C4—88no—
1804C2×C4—84no—
1805C2×C4—82no—
1806C2×C4—82no—
1807C2×C4—88no—
1808C2×C4—88no—
1809C2×C4—84no—
1810C2×C4—88no—
1811C2×C4—88no—
1812C2×C4C22×#4114yes—
1813C2×C4C22×#4114yes—
1814C2×C4C22×#4112yes—
1815C2×C4C22×#4112yes—
1816C2×C4C2×H(5,𝔽2)12yes—
1817C2×C4C2×H(5,𝔽2)14yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4C2×H(5,𝔽2)12yes—
1823C2×C4#58512yes—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—22no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—44no—
1839C22—41no—
1840C22—42no—
1841C22—42no—
1842C22—44no—
1843C22—42no—
1844C22—41no—
1845C22—44no—
1846C22—44no—
1847C22—42no—
1848C22—42no—
1849C22—41no—
1850C22—42no—
1851C22—44no—
1852C22—44no—
1853C22—42no—
1854C22—41no—
1855C22—42no—
1856C22—44no—
1857C22—44no—
1858C22—41no—
1859C22—42no—
1860C22—44no—
1861C22—44no—
1862C22—42no—
1863C22—42no—
1864C22—44no—
1865C22—42no—
1866C22—44no—
1867C22—41no—
1868C22—44no—
1869C22—42no—
1870C22—41no—
1871C22—42no—
1872C22—44no—
1873C22—1616no—
1874C22C23×#4111yescharacteristic
1875C22C22×H(5,𝔽2)11yescharacteristic
1876C22C22×H(5,𝔽2)11yescharacteristic
1877C22C22×H(5,𝔽2)11yescharacteristic
1878C22C2×#58511yescharacteristic
1879C22H(7,𝔽2)11yescharacteristic
1880C22H(7,𝔽2)11yescharacteristic
1881C4—24no—
1882C4—22no—
1883C4—22no—
1884C4—24no—
1885C4—22no—
1886C4—24no—
1887C4—42no—
1888C4—42no—
1889C4—41no—
1890C4—41no—
1891C4—42no—
1892C4—41no—
1893C4—42no—
1894C4—42no—
1895C4—42no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4—41no—
1900C4—42no—
1901C4—42no—
1902C4—42no—
1903C4—42no—
1904C4—44no—
1905C4—44no—
1906C4—42no—
1907C4#351914yes—
1908C4#354614yes—
1909C2—42no—
1910C2—42no—
1911C2—82no—
1912C2—81no—
1913C2—82no—
1914C2—84no—
1915C2—84no—
1916C2C2×#354611yescharacteristic
1917C2C2×#351911yescharacteristic
1918C2#6287411yescharacteristic
1919C2#6291211yescharacteristic
1920C2#6296111yescharacteristic
1921C2#6298611yescharacteristic
1922C2#6300611yescharacteristic
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. #59568C2semidirect
2. #59245C2semidirect
3. #59212C2semidirect
4. #59124C2semidirect
5. #59124C2semidirect
6. #59056C2semidirect
7. #51137C2semidirect
8. #50148C2semidirect
9. #47631C2semidirect
10. #46532C2semidirect
11. #45716C2semidirect
12. #45655C2semidirect
13. #44886C2semidirect
14. #44871C2semidirect
15. #42907C2semidirect
16. #42617C2semidirect
17. #40030C2semidirect
18. #39876C2semidirect
19. #39221C2semidirect
20. #39138C2semidirect
21. #39030C2semidirect
22. #38956C2semidirect
23. #38909C2semidirect
24. #38214C2semidirect
25. #37334C2semidirect
26. #36587C2semidirect
27. #36460C2semidirect
28. #36455C2semidirect
29. #36410C2semidirect
30. #36273C2semidirect
31. #36126C2semidirect
32. #35272C2semidirect
33. #34911C2semidirect
34. #34495C2semidirect
35. C4×#537C2semidirect
36. C2×#555C22semidirect
39. C2×#550C22semidirect
40. C2×#547C22semidirect
45. C2×#532C22semidirect
47. C2×#529C22semidirect
49. C2×C4×#41C22semidirect
50. #2860C22semidirect
51. #2858C22semidirect
56. #2856C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
59. #2850C22semidirect
60. #2828C22semidirect
61. #2828C22semidirect
62. #2803C22semidirect
63. #2803C22semidirect
64. #2801C22semidirect
66. #2779C22semidirect
68. #2778C22semidirect
69. #2778C22semidirect
70. #2733C22semidirect
71. #2733C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2710C22semidirect
75. #2710C22semidirect
76. #2709C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2703C22semidirect
81. #2703C22semidirect
82. #2701C22semidirect
83. #2700C22semidirect
85. #2691C22semidirect
86. #2688C22semidirect
87. #2688C22semidirect
92. #2676C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2671C22semidirect
102. #2653C22semidirect
103. #2648C22semidirect
104. #2648C22semidirect
105. #2635C22semidirect
106. #2624C22semidirect
109. #2619C22semidirect
110. #2610C22semidirect
111. #2604C22semidirect
114. #2602C22semidirect
115. #2597C22semidirect
116. #2595C22semidirect
117. #2592C22semidirect
118. #2588C22semidirect
119. #2584C22semidirect
120. #2582C22semidirect
121. #2571C22semidirect
122. #2568C22semidirect
124. #2559C22semidirect
125. #2559C22semidirect
126. #2557C22semidirect
127. #2557C22semidirect
128. #2555C22semidirect
129. #2551C22semidirect
134. #2544C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
146. #2537C22semidirect
147. #2537C22semidirect
149. #2535C22semidirect
150. #2526C22semidirect
151. #2513C22semidirect
152. #2513C22semidirect
153. #2512C22semidirect
154. #2511C22semidirect
155. #2509C22semidirect
156. #2504C22semidirect
157. #2504C22semidirect
158. #2500C22semidirect
160. #2494C22semidirect
161. #2494C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
165. #2491C22semidirect
166. #2490C22semidirect
168. #2476C22semidirect
170. #2470C22semidirect
171. #2467C22semidirect
172. #2464C22semidirect
173. #2461C22semidirect
174. #2461C22semidirect
175. #2454C22semidirect
176. #2452C22semidirect
177. #2447C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2444C22semidirect
188. #2431C22semidirect
189. #2431C22semidirect
190. #2431C22semidirect
191. #2431C22semidirect
192. #2431C22semidirect
193. #2430C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2427C22semidirect
202. #2427C22semidirect
203. #2427C22semidirect
204. #2426C22semidirect
207. #2420C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
211. #2415C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
232. #2395C22semidirect
234. #2376C22semidirect
236. #2369C22semidirect
237. #2367C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
246. #2361C22semidirect
247. #2361C22semidirect
248. #2357C22semidirect
249. #2357C22semidirect
250. #2355C22semidirect
251. #2354C22semidirect
253. Q8×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
256. #2341C22semidirect
259. #2335C22semidirect
260. #2333C22semidirect
262. #2325C22semidirect
265. #2324C22semidirect
266. #2324C22semidirect
268. #2323C22semidirect
269. #2323C22semidirect
271. #2316C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
277. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2297C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
943. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#595682
#592452
#592122
#591242
#590562
#511372
#501482
#476312
#465322
#457162
#456552
#448862
#448712
#429072
#426172
#400302
#398762
#392212
#391382
#390302
#389562
#389092
#382142
#373342
#365872
#364602
#364552
#364102
#362732
#361262
#352722
#349112
#344952
C4×#5372