Finite Group Databasebeta

← #8458934

Subgroups — #8458934

Order 512.

5450 conjugacy classes of subgroups.

The subgroup lattice has 1852 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59078C211yesmaximal, characteristic, complemented
4#57940C214yesmaximal, complemented
5#56398C214yesmaximal, complemented
6#54976C214yesmaximal, complemented
7#53126C212yesmaximal, complemented
8#52967C212yesmaximal, complemented
9#48552C214yesmaximal, complemented
10#46050C212yesmaximal, complemented
11#45602C212yesmaximal, complemented
12#45049C212yesmaximal, complemented
13#45018C212yesmaximal, complemented
14#42942C212yesmaximal, complemented
15#42539C212yesmaximal, complemented
16#42529C212yesmaximal, complemented
17#42435C212yesmaximal, complemented
18#40122C212yesmaximal, complemented
19#39786C212yesmaximal, complemented
20#39433C212yesmaximal, complemented
21#39350C211yesmaximal, characteristic, complemented
22#39341C211yesmaximal, characteristic, complemented
23#39202C211yesmaximal, characteristic, complemented
24#39070C212yesmaximal, complemented
25#38941C211yesmaximal, characteristic, complemented
26#37618C211yesmaximal, characteristic, complemented
27#37317C212yesmaximal, complemented
28#37305C212yesmaximal, complemented
29#36583C211yesmaximal, characteristic, complemented
30#36505C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#35198C211yesmaximal, characteristic, complemented
34#34898C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×#546C2212yes—
39C2×#546C2212yes—
40C2×#542C2212yes—
41C2×#542C2212yescomplemented
42C2×#537C2212yescomplemented
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic, complemented
46C22×#127C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2860C2212yescomplemented
49#2858C2211yescharacteristic
50#2858C2212yescomplemented
51#2858C2212yescomplemented
52#2857C2211yescharacteristic
53#2856C2212yes—
54#2856C2211yescharacteristic
55#2856C2212yes—
56#2851C2212yescomplemented
57#2832C2214yescomplemented
58#2830C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2827C2214yescomplemented
62#2815C2214yescomplemented
63#2814C2214yescomplemented
64#2812C2214yes—
65#2797C2214yescomplemented
66#2797C2214yescomplemented
67#2797C2214yescomplemented
68#2786C2214yescomplemented
69#2756C2214yescomplemented
70#2752C2214yescomplemented
71#2751C2214yescomplemented
72#2751C2214yescomplemented
73#2749C2214yescomplemented
74#2740C2214yescomplemented
75#2737C2214yescomplemented
76#2736C2214yes—
77#2735C2214yes—
78#2733C2214yescomplemented
79#2717C2214yes—
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2714C2214yescomplemented
86#2711C2214yescomplemented
87#2708C2214yescomplemented
88#2708C2214yescomplemented
89#2703C2214yescomplemented
90#2699C2214yescomplemented
91#2699C2214yescomplemented
92#2698C2214yescomplemented
93#2696C2214yescomplemented
94#2692C2214yescomplemented
95#2691C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2687C2214yescomplemented
99#2686C2214yescomplemented
100#2686C2214yescomplemented
101#2678C2214yes—
102#2678C2214yes—
103#2678C2214yes—
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2676C2214yescomplemented
107#2675C2214yescomplemented
108#2673C2214yes—
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yes—
112#2670C2214yes—
113#2670C2214yes—
114#2662C2214yescomplemented
115#2661C2214yescomplemented
116#2661C2214yescomplemented
117#2657C2212yescomplemented
118#2640C2212yescomplemented
119#2640C2212yescomplemented
120#2635C2214yescomplemented
121#2631C2214yescomplemented
122#2625C2212yes—
123#2624C2212yescomplemented
124#2622C2214yes—
125#2619C2214yes—
126#2617C2214yes—
127#2615C2212yescomplemented
128#2615C2212yescomplemented
129#2615C2212yescomplemented
130#2600C2214yescomplemented
131#2595C2214yescomplemented
132#2577C2212yes—
133#2575C2212yescomplemented
134#2570C2211yescharacteristic, complemented
135#2565C2211yescharacteristic, complemented
136#2563C2212yescomplemented
137#2562C2212yes—
138#2562C2211yescharacteristic
139#2561C2214yes—
140#2560C2214yescomplemented
141#2557C2214yescomplemented
142#2555C2214yescomplemented
143#2554C2214yescomplemented
144#2551C2211yescharacteristic, complemented
145#2548C2211yescharacteristic
146#2548C2211yescharacteristic
147#2548C2212yes—
148#2548C2211yescharacteristic
149#2548C2212yescomplemented
150#2548C2212yescomplemented
151#2547C2212yes—
152#2547C2211yescharacteristic, complemented
153#2547C2212yescomplemented
154#2547C2211yescharacteristic, complemented
155#2545C2212yescomplemented
156#2544C2212yes—
157#2544C2212yescomplemented
158#2544C2212yescomplemented
159#2541C2212yes—
160#2541C2212yes—
161#2541C2211yescharacteristic
162#2541C2211yescharacteristic
163#2541C2211yescharacteristic
164#2541C2212yescomplemented
165#2540C2214yescomplemented
166#2538C2211yescharacteristic, complemented
167#2536C2211yescharacteristic
168#2536C2212yes—
169#2535C2212yescomplemented
170#2535C2212yescomplemented
171#2524C2212yescomplemented
172#2513C2212yescomplemented
173#2513C2212yescomplemented
174#2504C2212yescomplemented
175#2496C2211yescharacteristic, complemented
176#2496C2212yescomplemented
177#2495C2211yescharacteristic
178#2491C2212yescomplemented
179#2491C2212yescomplemented
180#2491C2212yescomplemented
181#2490C2212yescomplemented
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2214yescomplemented
185#2490C2212yescomplemented
186#2490C2214yescomplemented
187#2490C2212yescomplemented
188#2486C2212yes—
189#2480C2214yes—
190#2476C2212yescomplemented
191#2475C2214yescomplemented
192#2474C2212yescomplemented
193#2472C2214yes—
194#2468C2212yes—
195#2464C2214yescomplemented
196#2461C2214yescomplemented
197#2460C2214yes—
198#2460C2214yescomplemented
199#2459C2212yes—
200#2456C2212yes—
201#2454C2212yescomplemented
202#2452C2212yescomplemented
203#2452C2212yescomplemented
204#2451C2211yescharacteristic, complemented
205#2451C2212yescomplemented
206#2448C2212yescomplemented
207#2448C2212yescomplemented
208#2447C2212yescomplemented
209#2447C2212yescomplemented
210#2447C2212yescomplemented
211#2446C2212yescomplemented
212#2445C2212yes—
213#2445C2212yes—
214#2445C2212yes—
215#2445C2211yescharacteristic, complemented
216#2445C2212yescomplemented
217#2440C2212yescomplemented
218#2439C2211yescharacteristic
219#2435C2212yes—
220#2433C2212yes—
221#2432C2212yes—
222#2432C2212yescomplemented
223#2431C2212yes—
224#2431C2212yes—
225#2431C2211yescharacteristic
226#2431C2212yescomplemented
227#2431C2212yescomplemented
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yescomplemented
232#2428C2212yescomplemented
233#2427C2212yescomplemented
234#2426C2212yescomplemented
235#2426C2212yescomplemented
236#2426C2211yescharacteristic, complemented
237#2423C2211yescharacteristic, complemented
238#2421C2211yescharacteristic
239#2420C2212yescomplemented
240#2420C2212yescomplemented
241#2420C2211yescharacteristic, complemented
242#2420C2212yescomplemented
243#2418C2214yes—
244#2416C2212yescomplemented
245#2414C2211yescharacteristic
246#2412C2214yes—
247#2410C2214yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2214yes—
253#2408C2212yes—
254#2407C2211yescharacteristic
255#2407C2212yescomplemented
256#2402C2212yescomplemented
257#2395C2212yes—
258#2392C2212yes—
259#2388C2212yes—
260#2377C2214yescomplemented
261#2367C2212yescomplemented
262#2367C2212yescomplemented
263#2366C2211yescharacteristic
264#2366C2212yescomplemented
265#2365C2211yescharacteristic, complemented
266#2362C2212yes—
267#2361C2212yescomplemented
268#2355C2211yescharacteristic, complemented
269D4×C4⋊C4C2211yescharacteristic, complemented
270#2341C2212yescomplemented
271#2341C2212yescomplemented
272#2341C2212yescomplemented
273D4×C22⋊C4C2212yes—
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276#2333C2214yescomplemented
277#2324C2212yescomplemented
278#2324C2212yescomplemented
279#2319C2212yescomplemented
280#2309C2212yes—
281C4×#127C2211yescharacteristic
282C4×#125C2211yescharacteristic, complemented
283C4×#126C2212yescomplemented
284C4×#124C2211yescharacteristic, complemented
285C4×#124C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yescomplemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×#123C2212yescomplemented
291C4×#121C2211yescharacteristic
292#2298C2212yes—
293#2297C2212yescomplemented
294#2293C2211yescharacteristic, complemented
295#2285C2211yescharacteristic
296#2283C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#557—44no—
307#550—44no—
308#546—48no—
309#546—48no—
310#542—48no—
311#542—48no—
312#537—48no—
313#535—48no—
314#532—44no—
315#532—44no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127—44no—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2311yescharacteristic
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#126C2312yes—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#125C2311yescharacteristic
336C2×#125C2312yes—
337C2×#125C2314yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2314yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2314yes—
349C2×#124C2312yes—
350C2×#124C2314yes—
351C2×#124C2314yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2311yescharacteristic
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C4×#41—44no—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2314yes—
427C2×#117C2312yes—
428C2×#117C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2314yes—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2312yes—
437#400C2314yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#398C2312yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#395C2314yes—
489#395C2312yes—
490#395C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#393C2314yes—
529#393C2312yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
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#392C2312yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2312yes—
555#392C2312yes—
556#392C2312yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#391C2311yescharacteristic
566#391C2314yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#391C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2314yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2311yescharacteristic
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2312yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#383C2312yes—
739#383C2312yes—
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2311yescharacteristic
744#382C2312yes—
745#382C2311yescharacteristic
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#381C2312yes—
750#381C2314yes—
751#381C2314yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819#376C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—42no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2414yes—
839C22×Q8C2412yes—
840C22×D4—28no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—82no—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C4⋊Q8—24no—
893C4⋊Q8—42no—
894C4⋊Q8—44no—
895C4⋊Q8—44no—
896C4⋊Q8—44no—
897#127—24no—
898#127—24no—
899#127—44no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—42no—
904#127—44no—
905#127—44no—
906#127—44no—
907#126—48no—
908#126—44no—
909#126—48no—
910#125—42no—
911#125—44no—
912#125—48no—
913#124—28no—
914#124—44no—
915#124—48no—
916#124—44no—
917#124—44no—
918#124—42no—
919#124—44no—
920#124—44no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—48no—
925#124—84no—
926#124—84no—
927#123—48no—
928#123—48no—
929#123—44no—
930#123—48no—
931#123—48no—
932C22⋊Q8—24no—
933C22⋊Q8—28no—
934C22⋊Q8—24no—
935C22⋊Q8—28no—
936C22⋊Q8—48no—
937C22⋊Q8—48no—
938C22⋊Q8—48no—
939C22⋊Q8—42no—
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—48no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—42no—
954#121—42no—
955#121—44no—
956#121—44no—
957#121—48no—
958#121—48no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—84no—
966#121—82no—
967#121—84no—
968#120—48no—
969#120—48no—
970#120—48no—
971#120—48no—
972#120—84no—
973C4×Q8—24no—
974C4×Q8—24no—
975C4×Q8—24no—
976C4×Q8—42no—
977C4×Q8—42no—
978C4×Q8—44no—
979C4×Q8—44no—
980C4×Q8—44no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—44no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—42no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—42no—
998C4×D4—44no—
999C4×D4—82no—
1000C4×D4—84no—
1001#117—28no—
1002#117—44no—
1003#117—44no—
1004#117—42no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1058C2×C22⋊C4—48no—
1059C2×C22⋊C4—48no—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—44no—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
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#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—28no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24C2514yes—
1233C24C2514yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236C24C2512yes—
1237C24C2511yescharacteristic
1238#41—416no—
1239#41—816no—
1240#41—816no—
1241#41—816no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—24no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—44no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8H(5,𝔽2)14yes—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—22no—
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—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—28no—
1274C2×D4—28no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—28no—
1283C2×D4—42no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—44no—
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—816no—
1342C2×D4—816no—
1343C2×D4—816no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—28no—
1366C22×C4—24no—
1367C22×C4—42no—
1368C22×C4—41no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
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—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4H(5,𝔽2)14yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—41no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C22⋊C4—22no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—22no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—22no—
1484C22⋊C4—24no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—44no—
1496C22⋊C4—41no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—22no—
1556C42—24no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—22no—
1561C42—24no—
1562C42—22no—
1563C42—42no—
1564C42—42no—
1565C42—41no—
1566C42—41no—
1567C42—44no—
1568C42—42no—
1569C42—44no—
1570C42—44no—
1571C42—42no—
1572C42—42no—
1573C42H(5,𝔽2)14yes—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—24no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—21no—
1587C23—24no—
1588C23—24no—
1589C23—24no—
1590C23—24no—
1591C23—22no—
1592C23—24no—
1593C23—21no—
1594C23—22no—
1595C23—21no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—21no—
1600C23—22no—
1601C23—24no—
1602C23—24no—
1603C23—21no—
1604C23—22no—
1605C23—24no—
1606C23—24no—
1607C23—22no—
1608C23—22no—
1609C23—24no—
1610C23—21no—
1611C23—22no—
1612C23—24no—
1613C23—24no—
1614C23—22no—
1615C23—88no—
1616C23—88no—
1617C23—88no—
1618C23—88no—
1619C23—88no—
1620C23—164no—
1621C23—164no—
1622C23C2×H(5,𝔽2)12yes—
1623C23C2611yescharacteristic
1624Q8—28no—
1625Q8—44no—
1626Q8—48no—
1627Q8—84no—
1628Q8—164no—
1629D4—48no—
1630D4—44no—
1631D4—48no—
1632D4—44no—
1633D4—48no—
1634D4—48no—
1635D4—44no—
1636D4—48no—
1637D4—48no—
1638D4—88no—
1639D4—84no—
1640D4—88no—
1641D4—88no—
1642D4—84no—
1643D4—84no—
1644D4—88no—
1645D4—88no—
1646D4—84no—
1647D4—84no—
1648D4—84no—
1649D4—88no—
1650D4—164no—
1651D4—164no—
1652D4—164no—
1653D4—164no—
1654D4—164no—
1655D4—164no—
1656D4—164no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—28no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—44no—
1736C2×C4—48no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—48no—
1740C2×C4—48no—
1741C2×C4—44no—
1742C2×C4—84no—
1743C2×C4—82no—
1744C2×C4—88no—
1745C2×C4—88no—
1746C2×C4—164no—
1747C2×C4—164no—
1748C2×C4—164no—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)14yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4#58512yes—
1757C2×C4#58512yes—
1758C2×C4#58512yes—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—42no—
1767C22—41no—
1768C22—42no—
1769C22—44no—
1770C22—44no—
1771C22—44no—
1772C22—42no—
1773C22—44no—
1774C22—42no—
1775C22—41no—
1776C22—41no—
1777C22—42no—
1778C22—44no—
1779C22—44no—
1780C22—42no—
1781C22—42no—
1782C22—44no—
1783C22—42no—
1784C22—41no—
1785C22—44no—
1786C22—42no—
1787C22—41no—
1788C22—44no—
1789C22—44no—
1790C22—42no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—41no—
1795C22—44no—
1796C22—42no—
1797C22—41no—
1798C22—44no—
1799C22—44no—
1800C22—42no—
1801C22—1616no—
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22H(7,𝔽2)11yescharacteristic
1809C4—24no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—42no—
1814C4—41no—
1815C4—41no—
1816C4—42no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—41no—
1824C4—42no—
1825C4—44no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4—41no—
1834C4—42no—
1835C4—44no—
1836C4#354214yes—
1837C4#355814yes—
1838C2—42no—
1839C2—82no—
1840C2—81no—
1841C2—82no—
1842C2—84no—
1843C2—84no—
1844C2C2×#354211yescharacteristic
1845C2C2×#355811yescharacteristic
1846C2#6283611yescharacteristic
1847C2#6291611yescharacteristic
1848C2#6292411yescharacteristic
1849C2#6296911yescharacteristic
1850C2#6303511yescharacteristic
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. #59647C2semidirect
2. #59124C2semidirect
3. #59078C2semidirect
4. #57940C2semidirect
5. #56398C2semidirect
6. #54976C2semidirect
7. #53126C2semidirect
8. #52967C2semidirect
9. #48552C2semidirect
10. #46050C2semidirect
11. #45602C2semidirect
12. #45049C2semidirect
13. #45018C2semidirect
14. #42942C2semidirect
15. #42539C2semidirect
16. #42529C2semidirect
17. #42435C2semidirect
18. #40122C2semidirect
19. #39786C2semidirect
20. #39433C2semidirect
21. #39350C2semidirect
22. #39341C2semidirect
23. #39202C2semidirect
24. #39070C2semidirect
25. #38941C2semidirect
26. #37618C2semidirect
27. #37317C2semidirect
28. #37305C2semidirect
29. #36583C2semidirect
30. #36505C2semidirect
31. #36121C2semidirect
32. #35272C2semidirect
33. #35198C2semidirect
34. #34898C2semidirect
35. #34715C2semidirect
36. C2×#557C22semidirect
41. C2×#542C22semidirect
42. C2×#537C22semidirect
45. C2×#532C22semidirect
48. #2860C22semidirect
50. #2858C22semidirect
51. #2858C22semidirect
56. #2851C22semidirect
57. #2832C22semidirect
58. #2830C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2827C22semidirect
62. #2815C22semidirect
63. #2814C22semidirect
65. #2797C22semidirect
66. #2797C22semidirect
67. #2797C22semidirect
68. #2786C22semidirect
69. #2756C22semidirect
70. #2752C22semidirect
71. #2751C22semidirect
72. #2751C22semidirect
73. #2749C22semidirect
74. #2740C22semidirect
75. #2737C22semidirect
78. #2733C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2714C22semidirect
86. #2711C22semidirect
87. #2708C22semidirect
88. #2708C22semidirect
89. #2703C22semidirect
90. #2699C22semidirect
91. #2699C22semidirect
92. #2698C22semidirect
93. #2696C22semidirect
94. #2692C22semidirect
95. #2691C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2687C22semidirect
99. #2686C22semidirect
100. #2686C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
106. #2676C22semidirect
107. #2675C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
114. #2662C22semidirect
115. #2661C22semidirect
116. #2661C22semidirect
117. #2657C22semidirect
118. #2640C22semidirect
119. #2640C22semidirect
120. #2635C22semidirect
121. #2631C22semidirect
123. #2624C22semidirect
127. #2615C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2600C22semidirect
131. #2595C22semidirect
133. #2575C22semidirect
134. #2570C22semidirect
135. #2565C22semidirect
136. #2563C22semidirect
140. #2560C22semidirect
141. #2557C22semidirect
142. #2555C22semidirect
143. #2554C22semidirect
144. #2551C22semidirect
149. #2548C22semidirect
150. #2548C22semidirect
152. #2547C22semidirect
153. #2547C22semidirect
154. #2547C22semidirect
155. #2545C22semidirect
157. #2544C22semidirect
158. #2544C22semidirect
164. #2541C22semidirect
165. #2540C22semidirect
166. #2538C22semidirect
169. #2535C22semidirect
170. #2535C22semidirect
171. #2524C22semidirect
172. #2513C22semidirect
173. #2513C22semidirect
174. #2504C22semidirect
175. #2496C22semidirect
176. #2496C22semidirect
178. #2491C22semidirect
179. #2491C22semidirect
180. #2491C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2490C22semidirect
190. #2476C22semidirect
191. #2475C22semidirect
192. #2474C22semidirect
195. #2464C22semidirect
196. #2461C22semidirect
198. #2460C22semidirect
201. #2454C22semidirect
202. #2452C22semidirect
203. #2452C22semidirect
204. #2451C22semidirect
205. #2451C22semidirect
206. #2448C22semidirect
207. #2448C22semidirect
208. #2447C22semidirect
209. #2447C22semidirect
210. #2447C22semidirect
211. #2446C22semidirect
215. #2445C22semidirect
216. #2445C22semidirect
217. #2440C22semidirect
222. #2432C22semidirect
226. #2431C22semidirect
227. #2431C22semidirect
231. #2428C22semidirect
232. #2428C22semidirect
233. #2427C22semidirect
234. #2426C22semidirect
235. #2426C22semidirect
236. #2426C22semidirect
237. #2423C22semidirect
239. #2420C22semidirect
240. #2420C22semidirect
241. #2420C22semidirect
242. #2420C22semidirect
244. #2416C22semidirect
255. #2407C22semidirect
256. #2402C22semidirect
260. #2377C22semidirect
261. #2367C22semidirect
262. #2367C22semidirect
264. #2366C22semidirect
265. #2365C22semidirect
267. #2361C22semidirect
268. #2355C22semidirect
269. D4×C4⋊C4C22semidirect
270. #2341C22semidirect
271. #2341C22semidirect
272. #2341C22semidirect
276. #2333C22semidirect
277. #2324C22semidirect
278. #2324C22semidirect
279. #2319C22semidirect
282. C4×#125C22semidirect
283. C4×#126C22semidirect
284. C4×#124C22semidirect
285. C4×#124C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×#123C22semidirect
293. #2297C22semidirect
294. #2293C22semidirect
296. #2283C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#591242
#590782
#579402
#563982
#549762
#531262
#529672
#485522
#460502
#456022
#450492
#450182
#429422
#425392
#425292
#424352
#401222
#397862
#394332
#393502
#393412
#392022
#390702
#389412
#376182
#373172
#373052
#365832
#365052
#361212
#352722
#351982
#348982
#347152