Finite Group Databasebeta

← #8467055

Subgroups — #8467055

Order 512.

5424 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59640C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59056C211yesmaximal, characteristic, complemented
4#55449C214yesmaximal, complemented
5#55347C214yesmaximal, complemented
6#55309C214yesmaximal, complemented
7#53102C212yesmaximal, complemented
8#53059C212yesmaximal, complemented
9#47955C214yesmaximal, complemented
10#45484C212yesmaximal, complemented
11#45484C212yesmaximal, complemented
12#45006C212yesmaximal, complemented
13#44903C212yesmaximal, complemented
14#42759C212yesmaximal, complemented
15#42619C212yesmaximal, complemented
16#42581C212yesmaximal, complemented
17#42435C212yesmaximal, complemented
18#40032C212yesmaximal, complemented
19#40029C212yesmaximal, complemented
20#39735C211yesmaximal, characteristic, complemented
21#39725C211yesmaximal, characteristic, complemented
22#39480C211yesmaximal, characteristic, complemented
23#38985C211yesmaximal, characteristic, complemented
24#38129C212yesmaximal, complemented
25#38034C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37332C212yesmaximal, complemented
28#37278C212yesmaximal, complemented
29#36412C211yesmaximal, characteristic, complemented
30#36411C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#35197C211yesmaximal, characteristic, complemented
34#34932C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#562C2214yescomplemented
37C2×#555C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#535C2212yes—
42C2×#533C2211yescharacteristic, complemented
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C2×#529C2212yes—
46C2×C4×#41C2211yescharacteristic
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2856C2212yes—
52#2856C2212yescomplemented
53#2854C2212yescomplemented
54#2854C2212yescomplemented
55#2850C2212yescomplemented
56#2828C2214yescomplemented
57#2825C2214yescomplemented
58#2825C2214yescomplemented
59#2820C2214yescomplemented
60#2818C2214yescomplemented
61#2813C2214yescomplemented
62#2813C2214yescomplemented
63#2812C2214yes—
64#2803C2214yescomplemented
65#2797C2214yescomplemented
66#2797C2214yescomplemented
67#2778C2214yescomplemented
68#2762C2214yescomplemented
69#2756C2214yescomplemented
70#2753C2214yescomplemented
71#2752C2214yescomplemented
72#2749C2214yescomplemented
73#2743C2214yescomplemented
74#2735C2214yes—
75#2733C2214yescomplemented
76#2730C2214yescomplemented
77#2730C2214yescomplemented
78#2715C2214yescomplemented
79#2714C2214yescomplemented
80#2711C2214yescomplemented
81#2711C2214yescomplemented
82#2711C2214yescomplemented
83#2711C2214yescomplemented
84#2708C2214yescomplemented
85#2708C2214yescomplemented
86#2703C2214yescomplemented
87#2703C2214yescomplemented
88#2700C2214yescomplemented
89#2699C2214yescomplemented
90#2697C2214yes—
91#2696C2214yescomplemented
92#2696C2214yescomplemented
93#2691C2214yescomplemented
94#2690C2214yes—
95#2688C2214yescomplemented
96#2688C2214yescomplemented
97#2685C2214yes—
98#2685C2214yes—
99#2681C2214yescomplemented
100#2681C2214yescomplemented
101#2678C2214yes—
102#2678C2214yes—
103#2676C2214yescomplemented
104#2676C2214yescomplemented
105#2676C2214yescomplemented
106#2673C2214yes—
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yes—
112#2669C2214yes—
113#2653C2214yescomplemented
114#2651C2214yescomplemented
115#2648C2214yescomplemented
116#2648C2214yescomplemented
117#2644C2212yescomplemented
118#2625C2212yes—
119#2624C2212yescomplemented
120#2624C2212yescomplemented
121#2622C2214yes—
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2619C2214yes—
125#2619C2212yescomplemented
126#2619C2212yescomplemented
127#2617C2214yes—
128#2616C2214yescomplemented
129#2595C2214yescomplemented
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2580C2212yescomplemented
133#2578C2214yescomplemented
134#2571C2211yescharacteristic, complemented
135#2570C2212yescomplemented
136#2567C2211yescharacteristic, complemented
137#2567C2211yescharacteristic, complemented
138#2561C2214yes—
139#2560C2214yescomplemented
140#2558C2214yescomplemented
141#2555C2214yescomplemented
142#2555C2214yescomplemented
143#2554C2214yescomplemented
144#2553C2212yes—
145#2553C2212yescomplemented
146#2552C2211yescharacteristic, complemented
147#2548C2212yes—
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic
150#2548C2211yescharacteristic
151#2548C2212yescomplemented
152#2548C2212yescomplemented
153#2547C2211yescharacteristic
154#2547C2212yescomplemented
155#2544C2212yes—
156#2544C2212yescomplemented
157#2542C2212yescomplemented
158#2542C2211yescharacteristic, complemented
159#2541C2211yescharacteristic
160#2541C2212yes—
161#2541C2211yescharacteristic
162#2541C2212yes—
163#2541C2211yescharacteristic
164#2541C2212yescomplemented
165#2541C2212yescomplemented
166#2540C2212yescomplemented
167#2538C2212yescomplemented
168#2538C2212yescomplemented
169#2538C2211yescharacteristic, complemented
170#2538C2212yescomplemented
171#2537C2211yescharacteristic
172#2535C2212yescomplemented
173#2516C2214yescomplemented
174#2514C2212yescomplemented
175#2513C2212yescomplemented
176#2513C2212yescomplemented
177#2512C2212yescomplemented
178#2512C2212yescomplemented
179#2506C2212yescomplemented
180#2506C2212yescomplemented
181#2500C2212yescomplemented
182#2500C2212yescomplemented
183#2500C2212yescomplemented
184#2496C2211yescharacteristic
185#2496C2211yescharacteristic, complemented
186#2495C2212yes—
187#2494C2212yes—
188#2491C2212yescomplemented
189#2491C2212yescomplemented
190#2490C2214yescomplemented
191#2489C2212yescomplemented
192#2485C2212yes—
193#2480C2214yes—
194#2477C2212yescomplemented
195#2475C2212yescomplemented
196#2474C2214yescomplemented
197#2472C2214yes—
198#2472C2214yes—
199#2463C2212yes—
200#2461C2214yes—
201#2460C2212yes—
202#2459C2214yescomplemented
203#2457C2214yescomplemented
204#2452C2212yescomplemented
205#2452C2211yescharacteristic, complemented
206#2447C2212yescomplemented
207#2446C2211yescharacteristic, complemented
208#2445C2212yes—
209#2445C2212yes—
210#2445C2212yes—
211#2445C2212yescomplemented
212#2445C2212yescomplemented
213#2439C2211yescharacteristic
214#2435C2212yes—
215#2433C2212yes—
216#2432C2211yescharacteristic
217#2432C2212yescomplemented
218#2431C2212yes—
219#2431C2212yes—
220#2431C2214yescomplemented
221#2431C2212yescomplemented
222#2428C2212yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2212yescomplemented
228#2428C2212yescomplemented
229#2427C2212yes—
230#2427C2212yescomplemented
231#2427C2211yescharacteristic, complemented
232#2422C2211yescharacteristic
233#2422C2212yescomplemented
234#2422C2212yescomplemented
235#2422C2211yescharacteristic, complemented
236#2421C2211yescharacteristic, complemented
237#2420C2212yescomplemented
238#2420C2212yescomplemented
239#2415C2211yescharacteristic
240#2414C2212yes—
241#2414C2212yescomplemented
242#2414C2212yescomplemented
243#2414C2212yescomplemented
244#2412C2214yes—
245#2410C2214yes—
246#2408C2214yes—
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2407C2212yes—
253#2407C2211yescharacteristic
254#2407C2212yescomplemented
255#2398C2212yes—
256#2395C2212yes—
257#2395C2212yescomplemented
258#2392C2212yes—
259#2369C2211yescharacteristic, complemented
260#2366C2211yescharacteristic
261#2363C2212yescomplemented
262#2363C2212yescomplemented
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2363C2212yescomplemented
266#2362C2212yescomplemented
267#2357C2212yescomplemented
268#2355C2211yescharacteristic, complemented
269#2354C2212yes—
270#2354C2211yescharacteristic, complemented
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2335C2214yescomplemented
275#2328C2212yescomplemented
276#2324C2212yescomplemented
277#2324C2212yescomplemented
278#2319C2212yescomplemented
279#2319C2212yescomplemented
280#2314C2212yes—
281#2309C2212yes—
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×#124C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yescomplemented
287C4×C22⋊Q8C2212yescomplemented
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291#2297C2212yescomplemented
292#2296C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2290C2212yescomplemented
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#562—416no—
306#555—44no—
307#550—44no—
308#546—48no—
309#546—48no—
310#535—48no—
311#533—44no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127—44no—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2314yes—
328#529—48no—
329C2×#126C2312yes—
330C2×#126C2312yes—
331C2×#126C2314yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2314yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#124C2311yescharacteristic
344C2×#124C2314yes—
345C2×#124C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2311yescharacteristic
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C4×#41—44no—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×#117C2312yes—
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C22×C22⋊C4C2314yes—
435C22×C22⋊C4C2314yes—
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2312yes—
439C22×C42C2312yes—
440#401C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2314yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2312yes—
453#399C2312yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#395C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2314yes—
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#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#393C2314yes—
539#393C2312yes—
540#393C2314yes—
541#393C2314yes—
542#393C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2312yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2312yes—
573#391C2312yes—
574#391C2314yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2312yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2314yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
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#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2314yes—
686#387C2312yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
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#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#383C2314yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2311yescharacteristic
750#382C2312yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819#376C2312yes—
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—24no—
823C2×#41—44no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—82no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4—28no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2412yes—
888C4⋊Q8—24no—
889C4⋊Q8—42no—
890C4⋊Q8—42no—
891C4⋊Q8—42no—
892#127—24no—
893#127—24no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—84no—
902#126—44no—
903#126—44no—
904#126—84no—
905#125—44no—
906#125—44no—
907#125—48no—
908#124—44no—
909#124—42no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—44no—
915#124—48no—
916#124—48no—
917#124—48no—
918#124—82no—
919#123—216no—
920#123—44no—
921#123—48no—
922#123—44no—
923#123—48no—
924#123—48no—
925#123—48no—
926C22⋊Q8—24no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—44no—
930C22⋊Q8—48no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—42no—
935C22⋊Q8—42no—
936C22⋊Q8—48no—
937C22⋊Q8—84no—
938#121—44no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—44no—
946#121—42no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—42no—
953#121—42no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—48no—
959#121—48no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—48no—
965#121—84no—
966#121—84no—
967#120—48no—
968#120—48no—
969#120—48no—
970#120—48no—
971#120—84no—
972C4×Q8—24no—
973C4×Q8—24no—
974C4×Q8—44no—
975C4×Q8—44no—
976C4×Q8—42no—
977C4×D4—24no—
978C4×D4—28no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—42no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—42no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998#117—28no—
999#117—44no—
1000#117—44no—
1001#117—44no—
1002#117—44no—
1003#117—42no—
1004#117—44no—
1005#117—44no—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C22⋊C4—48no—
1063C2×C22⋊C4—48no—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C42—24no—
1142C2×C42—24no—
1143C2×C42—44no—
1144C2×C42—44no—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2414yes—
1163C2×C42C2412yes—
1164C2×C42C2414yes—
1165C2×C42C2412yes—
1166C2×C42C2414yes—
1167C2×C42C2411yescharacteristic
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2414yes—
1171C2×C42C2411yescharacteristic
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226C24—28no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24C2514yes—
1234C24C2514yes—
1235C24C2512yes—
1236C24C2512yes—
1237C24C2511yescharacteristic
1238C24C2511yescharacteristic
1239#41—416no—
1240#41—816no—
1241#41—816no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×Q8—42no—
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—22no—
1271C2×D4—28no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—41no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
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—816no—
1339C2×D4—816no—
1340C2×D4—816no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—28no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—42no—
1367C22×C4—41no—
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—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
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×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
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—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4H(5,𝔽2)14yes—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—22no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—24no—
1567C42—22no—
1568C42—42no—
1569C42—42no—
1570C42—42no—
1571C42—42no—
1572C42—44no—
1573C42—44no—
1574C42—44no—
1575C42—41no—
1576C42—44no—
1577C42H(5,𝔽2)14yes—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—21no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—22no—
1592C23—21no—
1593C23—24no—
1594C23—21no—
1595C23—24no—
1596C23—24no—
1597C23—24no—
1598C23—22no—
1599C23—21no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—24no—
1606C23—24no—
1607C23—24no—
1608C23—22no—
1609C23—22no—
1610C23—24no—
1611C23—24no—
1612C23—21no—
1613C23—21no—
1614C23—24no—
1615C23—24no—
1616C23—22no—
1617C23—21no—
1618C23—22no—
1619C23—88no—
1620C23—88no—
1621C23—88no—
1622C23—88no—
1623C23—88no—
1624C23—164no—
1625C23—164no—
1626C23C2×H(5,𝔽2)12yes—
1627C23C2611yescharacteristic
1628Q8—44no—
1629Q8—44no—
1630Q8—84no—
1631Q8—84no—
1632Q8—84no—
1633D4—44no—
1634D4—48no—
1635D4—48no—
1636D4—48no—
1637D4—48no—
1638D4—44no—
1639D4—44no—
1640D4—48no—
1641D4—48no—
1642D4—84no—
1643D4—88no—
1644D4—88no—
1645D4—84no—
1646D4—84no—
1647D4—84no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—164no—
1652D4—164no—
1653D4—164no—
1654D4—164no—
1655D4—164no—
1656D4—164no—
1657D4—164no—
1658D4—164no—
1659D4—164no—
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—28no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—48no—
1740C2×C4—44no—
1741C2×C4—48no—
1742C2×C4—44no—
1743C2×C4—48no—
1744C2×C4—44no—
1745C2×C4—84no—
1746C2×C4—84no—
1747C2×C4—88no—
1748C2×C4—84no—
1749C2×C4—88no—
1750C2×C4—164no—
1751C2×C4—164no—
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×C4C2×H(5,𝔽2)12yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4#58512yes—
1761C2×C4#58512yes—
1762C2×C4#58512yes—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—42no—
1771C22—41no—
1772C22—44no—
1773C22—44no—
1774C22—42no—
1775C22—44no—
1776C22—41no—
1777C22—44no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—44no—
1782C22—41no—
1783C22—42no—
1784C22—44no—
1785C22—41no—
1786C22—44no—
1787C22—42no—
1788C22—44no—
1789C22—42no—
1790C22—42no—
1791C22—41no—
1792C22—42no—
1793C22—44no—
1794C22—44no—
1795C22—41no—
1796C22—42no—
1797C22—42no—
1798C22—44no—
1799C22—44no—
1800C22—42no—
1801C22—42no—
1802C22—41no—
1803C22—44no—
1804C22—44no—
1805C22—1616no—
1806C22C22×H(5,𝔽2)11yescharacteristic
1807C22C22×H(5,𝔽2)11yescharacteristic
1808C22C22×H(5,𝔽2)11yescharacteristic
1809C22C2×#58511yescharacteristic
1810C22C2×#58511yescharacteristic
1811C22C2×#58511yescharacteristic
1812C22H(7,𝔽2)11yescharacteristic
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—41no—
1819C4—42no—
1820C4—41no—
1821C4—41no—
1822C4—44no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—44no—
1828C4—42no—
1829C4—42no—
1830C4—41no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—41no—
1835C4—42no—
1836C4—41no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4#354214yes—
1841C4#356214yes—
1842C2—42no—
1843C2—81no—
1844C2—82no—
1845C2—82no—
1846C2—84no—
1847C2—84no—
1848C2C2×#354211yescharacteristic
1849C2C2×#356211yescharacteristic
1850C2#6283411yescharacteristic
1851C2#6291211yescharacteristic
1852C2#6295511yescharacteristic
1853C2#6296611yescharacteristic
1854C2#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. #59640C2semidirect
2. #59124C2semidirect
3. #59056C2semidirect
4. #55449C2semidirect
5. #55347C2semidirect
6. #55309C2semidirect
7. #53102C2semidirect
8. #53059C2semidirect
9. #47955C2semidirect
10. #45484C2semidirect
11. #45484C2semidirect
12. #45006C2semidirect
13. #44903C2semidirect
14. #42759C2semidirect
15. #42619C2semidirect
16. #42581C2semidirect
17. #42435C2semidirect
18. #40032C2semidirect
19. #40029C2semidirect
20. #39735C2semidirect
21. #39725C2semidirect
22. #39480C2semidirect
23. #38985C2semidirect
24. #38129C2semidirect
25. #38034C2semidirect
26. #37640C2semidirect
27. #37332C2semidirect
28. #37278C2semidirect
29. #36412C2semidirect
30. #36411C2semidirect
31. #36121C2semidirect
32. #35272C2semidirect
33. #35197C2semidirect
34. #34932C2semidirect
35. #34720C2semidirect
36. C2×#562C22semidirect
37. C2×#555C22semidirect
42. C2×#533C22semidirect
52. #2856C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
55. #2850C22semidirect
56. #2828C22semidirect
57. #2825C22semidirect
58. #2825C22semidirect
59. #2820C22semidirect
60. #2818C22semidirect
61. #2813C22semidirect
62. #2813C22semidirect
64. #2803C22semidirect
65. #2797C22semidirect
66. #2797C22semidirect
67. #2778C22semidirect
68. #2762C22semidirect
69. #2756C22semidirect
70. #2753C22semidirect
71. #2752C22semidirect
72. #2749C22semidirect
73. #2743C22semidirect
75. #2733C22semidirect
76. #2730C22semidirect
77. #2730C22semidirect
78. #2715C22semidirect
79. #2714C22semidirect
80. #2711C22semidirect
81. #2711C22semidirect
82. #2711C22semidirect
83. #2711C22semidirect
84. #2708C22semidirect
85. #2708C22semidirect
86. #2703C22semidirect
87. #2703C22semidirect
88. #2700C22semidirect
89. #2699C22semidirect
91. #2696C22semidirect
92. #2696C22semidirect
93. #2691C22semidirect
95. #2688C22semidirect
96. #2688C22semidirect
99. #2681C22semidirect
100. #2681C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2676C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
113. #2653C22semidirect
114. #2651C22semidirect
115. #2648C22semidirect
116. #2648C22semidirect
117. #2644C22semidirect
119. #2624C22semidirect
120. #2624C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
125. #2619C22semidirect
126. #2619C22semidirect
128. #2616C22semidirect
129. #2595C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2580C22semidirect
133. #2578C22semidirect
134. #2571C22semidirect
135. #2570C22semidirect
136. #2567C22semidirect
137. #2567C22semidirect
139. #2560C22semidirect
140. #2558C22semidirect
141. #2555C22semidirect
142. #2555C22semidirect
143. #2554C22semidirect
145. #2553C22semidirect
146. #2552C22semidirect
151. #2548C22semidirect
152. #2548C22semidirect
154. #2547C22semidirect
156. #2544C22semidirect
157. #2542C22semidirect
158. #2542C22semidirect
164. #2541C22semidirect
165. #2541C22semidirect
166. #2540C22semidirect
167. #2538C22semidirect
168. #2538C22semidirect
169. #2538C22semidirect
170. #2538C22semidirect
172. #2535C22semidirect
173. #2516C22semidirect
174. #2514C22semidirect
175. #2513C22semidirect
176. #2513C22semidirect
177. #2512C22semidirect
178. #2512C22semidirect
179. #2506C22semidirect
180. #2506C22semidirect
181. #2500C22semidirect
182. #2500C22semidirect
183. #2500C22semidirect
185. #2496C22semidirect
188. #2491C22semidirect
189. #2491C22semidirect
190. #2490C22semidirect
191. #2489C22semidirect
194. #2477C22semidirect
195. #2475C22semidirect
196. #2474C22semidirect
202. #2459C22semidirect
203. #2457C22semidirect
204. #2452C22semidirect
205. #2452C22semidirect
206. #2447C22semidirect
207. #2446C22semidirect
211. #2445C22semidirect
212. #2445C22semidirect
217. #2432C22semidirect
220. #2431C22semidirect
221. #2431C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
230. #2427C22semidirect
231. #2427C22semidirect
233. #2422C22semidirect
234. #2422C22semidirect
235. #2422C22semidirect
236. #2421C22semidirect
237. #2420C22semidirect
238. #2420C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
254. #2407C22semidirect
257. #2395C22semidirect
259. #2369C22semidirect
261. #2363C22semidirect
262. #2363C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
265. #2363C22semidirect
266. #2362C22semidirect
267. #2357C22semidirect
268. #2355C22semidirect
270. #2354C22semidirect
274. #2335C22semidirect
275. #2328C22semidirect
276. #2324C22semidirect
277. #2324C22semidirect
278. #2319C22semidirect
279. #2319C22semidirect
282. C4×C4⋊Q8C22semidirect
284. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2297C22semidirect
292. #2296C22semidirect
293. #2295C22semidirect
294. #2290C22semidirect
296. #2285C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596402
#591242
#590562
#554492
#553472
#553092
#531022
#530592
#479552
#454842
#450062
#449032
#427592
#426192
#425812
#424352
#400322
#400292
#397352
#397252
#394802
#389852
#381292
#380342
#376402
#373322
#372782
#364122
#364112
#361212
#352722
#351972
#349322
#347202