Finite Group Databasebeta

← #8467123

Subgroups — #8467123

Order 512.

5466 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#59822C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59080C211yesmaximal, characteristic, complemented
4#56806C214yesmaximal, complemented
5#55307C214yesmaximal, complemented
6#54856C214yesmaximal, complemented
7#53090C212yesmaximal, complemented
8#53060C212yesmaximal, complemented
9#47996C214yesmaximal, complemented
10#46054C212yesmaximal, complemented
11#45642C212yesmaximal, complemented
12#45422C212yesmaximal, complemented
13#45081C212yesmaximal, complemented
14#42883C212yesmaximal, complemented
15#42677C212yesmaximal, complemented
16#42624C212yesmaximal, complemented
17#42589C212yesmaximal, complemented
18#40164C212yesmaximal, complemented
19#39960C212yesmaximal, complemented
20#39808C212yesmaximal, complemented
21#39771C211yesmaximal, characteristic, complemented
22#39156C211yesmaximal, characteristic, complemented
23#38942C211yesmaximal, characteristic, complemented
24#38911C211yesmaximal, characteristic, complemented
25#38095C212yesmaximal, complemented
26#37614C211yesmaximal, characteristic, complemented
27#37372C212yesmaximal, complemented
28#37336C212yesmaximal, complemented
29#36465C211yesmaximal, characteristic, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35190C211yesmaximal, characteristic, complemented
33#35186C211yesmaximal, characteristic, complemented
34#34945C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yescomplemented
40C2×#548C2212yescomplemented
41C2×#548C2212yescomplemented
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×#532C2211yescharacteristic
45C22×#127C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic, complemented
48#2861C2212yescomplemented
49#2860C2212yescomplemented
50#2858C2211yescharacteristic
51#2858C2212yescomplemented
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic
54#2854C2212yescomplemented
55#2850C2212yescomplemented
56#2850C2212yescomplemented
57#2829C2214yescomplemented
58#2828C2214yescomplemented
59#2825C2214yescomplemented
60#2825C2214yescomplemented
61#2818C2214yes—
62#2815C2214yescomplemented
63#2815C2214yescomplemented
64#2815C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2801C2214yescomplemented
68#2797C2214yescomplemented
69#2796C2214yescomplemented
70#2777C2214yescomplemented
71#2756C2214yescomplemented
72#2753C2214yescomplemented
73#2753C2214yescomplemented
74#2751C2214yescomplemented
75#2746C2214yescomplemented
76#2743C2214yescomplemented
77#2741C2214yescomplemented
78#2740C2214yes—
79#2735C2214yes—
80#2733C2214yescomplemented
81#2733C2214yescomplemented
82#2730C2214yescomplemented
83#2730C2214yescomplemented
84#2728C2214yescomplemented
85#2714C2214yescomplemented
86#2712C2214yescomplemented
87#2712C2214yescomplemented
88#2710C2214yescomplemented
89#2710C2214yescomplemented
90#2705C2214yescomplemented
91#2703C2214yescomplemented
92#2701C2214yescomplemented
93#2699C2214yescomplemented
94#2691C2214yescomplemented
95#2689C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2688C2214yescomplemented
100#2687C2214yes—
101#2686C2214yescomplemented
102#2685C2214yes—
103#2684C2214yes—
104#2678C2214yes—
105#2676C2214yescomplemented
106#2675C2214yescomplemented
107#2673C2214yes—
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2670C2214yes—
111#2670C2214yes—
112#2670C2214yes—
113#2668C2214yes—
114#2663C2214yescomplemented
115#2657C2212yes—
116#2651C2214yescomplemented
117#2644C2212yescomplemented
118#2641C2212yes—
119#2641C2212yescomplemented
120#2640C2212yescomplemented
121#2635C2214yescomplemented
122#2635C2214yescomplemented
123#2635C2214yescomplemented
124#2625C2212yescomplemented
125#2624C2214yescomplemented
126#2619C2212yes—
127#2619C2212yes—
128#2617C2214yes—
129#2613C2214yes—
130#2602C2214yescomplemented
131#2600C2214yescomplemented
132#2598C2214yescomplemented
133#2592C2212yescomplemented
134#2582C2211yescharacteristic, complemented
135#2580C2212yescomplemented
136#2573C2212yes—
137#2573C2212yescomplemented
138#2571C2211yescharacteristic, complemented
139#2568C2211yescharacteristic, complemented
140#2568C2211yescharacteristic, complemented
141#2561C2214yes—
142#2552C2211yescharacteristic, complemented
143#2550C2212yescomplemented
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2548C2211yescharacteristic
147#2548C2212yescomplemented
148#2548C2212yescomplemented
149#2547C2211yescharacteristic
150#2544C2212yes—
151#2542C2212yescomplemented
152#2542C2211yescharacteristic, complemented
153#2541C2211yescharacteristic
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2541C2212yescomplemented
158#2541C2212yescomplemented
159#2540C2214yescomplemented
160#2540C2212yescomplemented
161#2540C2214yescomplemented
162#2540C2212yescomplemented
163#2538C2212yes—
164#2538C2211yescharacteristic
165#2537C2212yescomplemented
166#2537C2212yescomplemented
167#2514C2212yescomplemented
168#2513C2212yescomplemented
169#2512C2212yescomplemented
170#2500C2212yescomplemented
171#2500C2212yescomplemented
172#2499C2212yescomplemented
173#2497C2212yes—
174#2494C2211yescharacteristic
175#2494C2211yescharacteristic, complemented
176#2492C2212yes—
177#2491C2212yescomplemented
178#2490C2212yes—
179#2490C2212yescomplemented
180#2482C2214yes—
181#2479C2212yescomplemented
182#2477C2214yescomplemented
183#2477C2214yescomplemented
184#2476C2214yescomplemented
185#2471C2212yes—
186#2468C2214yescomplemented
187#2467C2212yescomplemented
188#2464C2214yescomplemented
189#2463C2214yescomplemented
190#2459C2214yescomplemented
191#2459C2214yescomplemented
192#2456C2212yes—
193#2455C2214yescomplemented
194#2454C2212yescomplemented
195#2454C2211yescharacteristic, complemented
196#2452C2212yescomplemented
197#2448C2212yescomplemented
198#2448C2212yescomplemented
199#2448C2211yescharacteristic, complemented
200#2447C2212yes—
201#2447C2212yescomplemented
202#2447C2212yescomplemented
203#2447C2212yescomplemented
204#2447C2212yescomplemented
205#2445C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yescomplemented
209#2441C2211yescharacteristic, complemented
210#2437C2214yes—
211#2436C2212yescomplemented
212#2435C2212yes—
213#2435C2212yes—
214#2433C2212yes—
215#2433C2212yes—
216#2431C2212yes—
217#2431C2212yes—
218#2431C2212yescomplemented
219#2431C2211yescharacteristic, complemented
220#2431C2212yescomplemented
221#2428C2212yes—
222#2428C2212yes—
223#2428C2212yes—
224#2428C2211yescharacteristic
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2426C2212yescomplemented
228#2424C2214yes—
229#2424C2214yes—
230#2423C2211yescharacteristic
231#2421C2211yescharacteristic
232#2421C2211yescharacteristic, complemented
233#2421C2212yescomplemented
234#2420C2212yes—
235#2420C2212yescomplemented
236#2415C2212yes—
237#2415C2212yes—
238#2414C2211yescharacteristic
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2414C2214yescomplemented
243#2414C2212yescomplemented
244#2410C2214yes—
245#2409C2212yes—
246#2408C2212yes—
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2407C2211yescharacteristic
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2401C2212yes—
257#2401C2212yescomplemented
258#2397C2212yes—
259#2392C2212yescomplemented
260#2375C2214yes—
261#2367C2212yescomplemented
262#2366C2211yescharacteristic
263#2366C2212yescomplemented
264#2365C2211yescharacteristic, complemented
265#2363C2212yescomplemented
266#2354C2212yescomplemented
267#2354C2211yescharacteristic, complemented
268#2354C2211yescharacteristic, complemented
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2330C2212yescomplemented
273#2328C2212yescomplemented
274#2326C2212yescomplemented
275#2326C2212yescomplemented
276#2326C2212yescomplemented
277#2321C2214yes—
278#2319C2212yescomplemented
279#2319C2212yescomplemented
280#2310C2212yescomplemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic
283C4×#127C2212yescomplemented
284C4×#127C2211yescharacteristic, complemented
285C4×#124C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic, complemented
291#2297C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2295C2212yescomplemented
294#2290C2212yescomplemented
295#2283C2211yescharacteristic
296#2283C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×Q8C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#555—48no—
307#550—44no—
308D4×Q8—44no—
309#548—48no—
310#548—48no—
311#548—48no—
312#546—48no—
313#546—48no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×#127—44no—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329#529—44no—
330C2×#126C2312yes—
331C2×#126C2314yes—
332C2×#125C2312yes—
333C2×#125C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#124C2314yes—
347C2×#123C2314yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C4×#41—44no—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2314yes—
430C2×#117C2312yes—
431C2×#117C2311yescharacteristic
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2314yes—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2312yes—
437#401C2312yes—
438#401C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2312yes—
444#400C2314yes—
445#400C2312yes—
446#400C2314yes—
447#400C2312yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2312yes—
452#399C2314yes—
453#399C2314yes—
454#399C2312yes—
455#399C2312yes—
456#399C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#396C2312yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#395C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
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#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
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#392C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2312yes—
557#392C2312yes—
558#392C2312yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2314yes—
570#391C2312yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2311yescharacteristic
579#391C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2311yescharacteristic
624#390C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2314yes—
644#389C2312yes—
645#389C2312yes—
646#389C2311yescharacteristic
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#387C2312yes—
700#386C2312yes—
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#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2312yes—
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2312yes—
748#383C2312yes—
749#383C2312yes—
750#382C2312yes—
751#382C2311yescharacteristic
752#382C2311yescharacteristic
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#382C2312yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2312yes—
761#381C2312yes—
762#381C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817#376C2312yes—
818#376C2312yes—
819#376C2312yes—
820C43C2311yescharacteristic
821C43C2312yes—
822C25C2414yes—
823C2×#41—28no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8—28no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×D4—44no—
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×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C4⋊Q8—24no—
893C4⋊Q8—24no—
894C4⋊Q8—44no—
895#127—24no—
896#127—24no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—42no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—44no—
905#126—44no—
906#126—84no—
907#125—44no—
908#125—42no—
909#124—28no—
910#124—28no—
911#124—48no—
912#124—44no—
913#124—44no—
914#124—42no—
915#124—44no—
916#124—44no—
917#124—48no—
918#124—44no—
919#124—48no—
920#124—48no—
921#124—48no—
922#123—48no—
923#123—44no—
924#123—48no—
925#123—84no—
926C22⋊Q8—24no—
927C22⋊Q8—24no—
928C22⋊Q8—48no—
929C22⋊Q8—48no—
930C22⋊Q8—48no—
931C22⋊Q8—42no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—48no—
936C22⋊Q8—44no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—44no—
943#121—42no—
944#121—44no—
945#121—42no—
946#121—42no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—48no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—48no—
959#121—84no—
960#121—84no—
961#121—84no—
962#121—82no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—48no—
967#120—84no—
968C4×Q8—24no—
969C4×Q8—24no—
970C4×Q8—24no—
971C4×Q8—24no—
972C4×Q8—44no—
973C4×Q8—42no—
974C4×Q8—44no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—48no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—42no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—42no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—48no—
996C4×D4—44no—
997C4×D4—48no—
998C4×D4—42no—
999C4×D4—82no—
1000#117—44no—
1001#117—44no—
1002#117—42no—
1003#117—44no—
1004#117—44no—
1005#117—48no—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—44no—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2411yescharacteristic
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
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—
1234C24C2511yescharacteristic
1235C24C2512yes—
1236C24C2512yes—
1237C24C2511yescharacteristic
1238#41—416no—
1239#41—816no—
1240#41—816no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—28no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—42no—
1252C2×Q8—44no—
1253C2×Q8—44no—
1254C2×Q8—42no—
1255C2×Q8—816no—
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—24no—
1273C2×D4—28no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—42no—
1284C2×D4—41no—
1285C2×D4—42no—
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—44no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—42no—
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—24no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—28no—
1366C22×C4—28no—
1367C22×C4—28no—
1368C22×C4—42no—
1369C22×C4—41no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—41no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—41no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2514yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2514yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C22⋊C4—22no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—22no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—22no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—44no—
1502C22⋊C4—41no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
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—24no—
1556C42—22no—
1557C42—24no—
1558C42—22no—
1559C42—22no—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—42no—
1564C42—42no—
1565C42—44no—
1566C42—44no—
1567C42—41no—
1568C42—44no—
1569C42—41no—
1570C42—42no—
1571C42—42no—
1572C42H(5,𝔽2)14yes—
1573C42H(5,𝔽2)14yes—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—24no—
1582C23—24no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—22no—
1588C23—21no—
1589C23—24no—
1590C23—22no—
1591C23—21no—
1592C23—22no—
1593C23—24no—
1594C23—24no—
1595C23—21no—
1596C23—24no—
1597C23—24no—
1598C23—24no—
1599C23—24no—
1600C23—21no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—21no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—24no—
1610C23—22no—
1611C23—24no—
1612C23—21no—
1613C23—24no—
1614C23—22no—
1615C23—88no—
1616C23—88no—
1617C23—88no—
1618C23—88no—
1619C23—88no—
1620C23—164no—
1621C23—164no—
1622C23#58512yes—
1623C23C2611yescharacteristic
1624Q8—28no—
1625Q8—44no—
1626Q8—48no—
1627Q8—84no—
1628Q8—88no—
1629D4—44no—
1630D4—48no—
1631D4—48no—
1632D4—44no—
1633D4—48no—
1634D4—48no—
1635D4—44no—
1636D4—48no—
1637D4—48no—
1638D4—84no—
1639D4—84no—
1640D4—88no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—88no—
1645D4—84no—
1646D4—88no—
1647D4—88no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—164no—
1653D4—164no—
1654D4—164no—
1655D4—164no—
1656D4—164no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—21no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—48no—
1740C2×C4—48no—
1741C2×C4—44no—
1742C2×C4—82no—
1743C2×C4—88no—
1744C2×C4—88no—
1745C2×C4—88no—
1746C2×C4—84no—
1747C2×C4—88no—
1748C2×C4—164no—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)14yes—
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×C4C2×H(5,𝔽2)12yes—
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—44no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—41no—
1773C22—42no—
1774C22—44no—
1775C22—44no—
1776C22—42no—
1777C22—42no—
1778C22—44no—
1779C22—41no—
1780C22—44no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—44no—
1785C22—44no—
1786C22—44no—
1787C22—42no—
1788C22—41no—
1789C22—44no—
1790C22—42no—
1791C22—42no—
1792C22—41no—
1793C22—44no—
1794C22—44no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—44no—
1799C22—42no—
1800C22—41no—
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—41no—
1814C4—42no—
1815C4—41no—
1816C4—42no—
1817C4—41no—
1818C4—41no—
1819C4—42no—
1820C4—44no—
1821C4—42no—
1822C4—41no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—41no—
1831C4—41no—
1832C4—42no—
1833C4—42no—
1834C4—44no—
1835C4—42no—
1836C4#354014yes—
1837C4#354314yes—
1838C2—42no—
1839C2—81no—
1840C2—82no—
1841C2—82no—
1842C2—84no—
1843C2—84no—
1844C2C2×#354011yescharacteristic
1845C2C2×#354311yescharacteristic
1846C2#6283011yescharacteristic
1847C2#6292311yescharacteristic
1848C2#6292411yescharacteristic
1849C2#6295511yescharacteristic
1850C2#6301911yescharacteristic
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. #59822C2semidirect
2. #59124C2semidirect
3. #59080C2semidirect
4. #56806C2semidirect
5. #55307C2semidirect
6. #54856C2semidirect
7. #53090C2semidirect
8. #53060C2semidirect
9. #47996C2semidirect
10. #46054C2semidirect
11. #45642C2semidirect
12. #45422C2semidirect
13. #45081C2semidirect
14. #42883C2semidirect
15. #42677C2semidirect
16. #42624C2semidirect
17. #42589C2semidirect
18. #40164C2semidirect
19. #39960C2semidirect
20. #39808C2semidirect
21. #39771C2semidirect
22. #39156C2semidirect
23. #38942C2semidirect
24. #38911C2semidirect
25. #38095C2semidirect
26. #37614C2semidirect
27. #37372C2semidirect
28. #37336C2semidirect
29. #36465C2semidirect
30. #36410C2semidirect
31. #36121C2semidirect
32. #35190C2semidirect
33. #35186C2semidirect
34. #34945C2semidirect
35. #34727C2semidirect
36. C2×#555C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
40. C2×#548C22semidirect
41. C2×#548C22semidirect
47. C2×C4×#41C22semidirect
48. #2861C22semidirect
49. #2860C22semidirect
51. #2858C22semidirect
54. #2854C22semidirect
55. #2850C22semidirect
56. #2850C22semidirect
57. #2829C22semidirect
58. #2828C22semidirect
59. #2825C22semidirect
60. #2825C22semidirect
62. #2815C22semidirect
63. #2815C22semidirect
64. #2815C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2801C22semidirect
68. #2797C22semidirect
69. #2796C22semidirect
70. #2777C22semidirect
71. #2756C22semidirect
72. #2753C22semidirect
73. #2753C22semidirect
74. #2751C22semidirect
75. #2746C22semidirect
76. #2743C22semidirect
77. #2741C22semidirect
80. #2733C22semidirect
81. #2733C22semidirect
82. #2730C22semidirect
83. #2730C22semidirect
84. #2728C22semidirect
85. #2714C22semidirect
86. #2712C22semidirect
87. #2712C22semidirect
88. #2710C22semidirect
89. #2710C22semidirect
90. #2705C22semidirect
91. #2703C22semidirect
92. #2701C22semidirect
93. #2699C22semidirect
94. #2691C22semidirect
95. #2689C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2688C22semidirect
101. #2686C22semidirect
105. #2676C22semidirect
106. #2675C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
114. #2663C22semidirect
116. #2651C22semidirect
117. #2644C22semidirect
119. #2641C22semidirect
120. #2640C22semidirect
121. #2635C22semidirect
122. #2635C22semidirect
123. #2635C22semidirect
124. #2625C22semidirect
125. #2624C22semidirect
130. #2602C22semidirect
131. #2600C22semidirect
132. #2598C22semidirect
133. #2592C22semidirect
134. #2582C22semidirect
135. #2580C22semidirect
137. #2573C22semidirect
138. #2571C22semidirect
139. #2568C22semidirect
140. #2568C22semidirect
142. #2552C22semidirect
143. #2550C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
151. #2542C22semidirect
152. #2542C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2540C22semidirect
160. #2540C22semidirect
161. #2540C22semidirect
162. #2540C22semidirect
165. #2537C22semidirect
166. #2537C22semidirect
167. #2514C22semidirect
168. #2513C22semidirect
169. #2512C22semidirect
170. #2500C22semidirect
171. #2500C22semidirect
172. #2499C22semidirect
175. #2494C22semidirect
177. #2491C22semidirect
179. #2490C22semidirect
181. #2479C22semidirect
182. #2477C22semidirect
183. #2477C22semidirect
184. #2476C22semidirect
186. #2468C22semidirect
187. #2467C22semidirect
188. #2464C22semidirect
189. #2463C22semidirect
190. #2459C22semidirect
191. #2459C22semidirect
193. #2455C22semidirect
194. #2454C22semidirect
195. #2454C22semidirect
196. #2452C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
201. #2447C22semidirect
202. #2447C22semidirect
203. #2447C22semidirect
204. #2447C22semidirect
208. #2445C22semidirect
209. #2441C22semidirect
211. #2436C22semidirect
218. #2431C22semidirect
219. #2431C22semidirect
220. #2431C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2426C22semidirect
232. #2421C22semidirect
233. #2421C22semidirect
235. #2420C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
257. #2401C22semidirect
259. #2392C22semidirect
261. #2367C22semidirect
263. #2366C22semidirect
264. #2365C22semidirect
265. #2363C22semidirect
266. #2354C22semidirect
267. #2354C22semidirect
268. #2354C22semidirect
272. #2330C22semidirect
273. #2328C22semidirect
274. #2326C22semidirect
275. #2326C22semidirect
276. #2326C22semidirect
278. #2319C22semidirect
279. #2319C22semidirect
280. #2310C22semidirect
281. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
287. C4×C22⋊Q8C22semidirect
290. C4×#121C22semidirect
291. #2297C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2290C22semidirect
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
#598222
#591242
#590802
#568062
#553072
#548562
#530902
#530602
#479962
#460542
#456422
#454222
#450812
#428832
#426772
#426242
#425892
#401642
#399602
#398082
#397712
#391562
#389422
#389112
#380952
#376142
#373722
#373362
#364652
#364102
#361212
#351902
#351862
#349452
#347272