Finite Group Databasebeta

← #8429255

Subgroups — #8429255

Order 512.

5436 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59416C212yesmaximal, complemented
3#59382C212yesmaximal, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59057C211yesmaximal, characteristic, complemented
6#56621C214yesmaximal, complemented
7#55606C214yesmaximal, complemented
8#53129C212yesmaximal, complemented
9#53115C212yesmaximal, complemented
10#53102C212yesmaximal, complemented
11#53057C212yesmaximal, complemented
12#52333C214yesmaximal, complemented
13#42951C212yesmaximal, complemented
14#42889C212yesmaximal, complemented
15#42586C212yesmaximal, complemented
16#42578C212yesmaximal, complemented
17#40496C214yesmaximal, complemented
18#39818C212yesmaximal, complemented
19#39401C212yesmaximal, complemented
20#39396C212yesmaximal, complemented
21#39201C211yesmaximal, characteristic, complemented
22#39126C211yesmaximal, characteristic, complemented
23#39069C212yesmaximal, complemented
24#38952C211yesmaximal, characteristic, complemented
25#38931C211yesmaximal, characteristic, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37614C211yesmaximal, characteristic, complemented
28#37587C212yesmaximal, complemented
29#37520C212yesmaximal, complemented
30#36460C211yesmaximal, characteristic, complemented
31#36455C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#554C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#550C2212yescomplemented
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#538C2214yes—
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic, complemented
47#2860C2212yescomplemented
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2212yescomplemented
52#2837C2214yescomplemented
53#2837C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2828C2214yescomplemented
57#2828C2214yescomplemented
58#2828C2214yescomplemented
59#2826C2214yescomplemented
60#2818C2214yes—
61#2818C2214yescomplemented
62#2816C2214yescomplemented
63#2813C2214yescomplemented
64#2813C2214yescomplemented
65#2812C2214yes—
66#2803C2214yescomplemented
67#2758C2214yescomplemented
68#2756C2214yescomplemented
69#2753C2214yescomplemented
70#2743C2214yescomplemented
71#2741C2214yescomplemented
72#2741C2214yescomplemented
73#2735C2214yes—
74#2730C2214yescomplemented
75#2730C2214yescomplemented
76#2727C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2712C2214yescomplemented
80#2710C2214yescomplemented
81#2703C2214yescomplemented
82#2702C2214yescomplemented
83#2701C2214yescomplemented
84#2698C2214yes—
85#2696C2214yescomplemented
86#2688C2214yescomplemented
87#2687C2214yescomplemented
88#2685C2214yes—
89#2685C2214yes—
90#2685C2214yes—
91#2685C2214yes—
92#2681C2214yes—
93#2678C2214yes—
94#2676C2214yescomplemented
95#2676C2214yescomplemented
96#2673C2214yes—
97#2673C2214yescomplemented
98#2672C2214yescomplemented
99#2672C2214yescomplemented
100#2671C2214yescomplemented
101#2669C2214yes—
102#2668C2214yes—
103#2661C2214yescomplemented
104#2657C2212yes—
105#2648C2214yescomplemented
106#2647C2212yescomplemented
107#2641C2212yes—
108#2636C2214yescomplemented
109#2636C2214yescomplemented
110#2635C2214yescomplemented
111#2635C2214yescomplemented
112#2630C2214yescomplemented
113#2630C2214yescomplemented
114#2629C2212yescomplemented
115#2624C2212yescomplemented
116#2624C2212yescomplemented
117#2624C2212yescomplemented
118#2620C2212yescomplemented
119#2619C2212yes—
120#2619C2212yes—
121#2619C2214yescomplemented
122#2619C2212yescomplemented
123#2619C2212yescomplemented
124#2617C2214yes—
125#2613C2214yes—
126#2610C2214yescomplemented
127#2602C2214yescomplemented
128#2598C2214yescomplemented
129#2580C2212yescomplemented
130#2578C2214yescomplemented
131#2571C2211yescharacteristic, complemented
132#2570C2212yescomplemented
133#2567C2211yescharacteristic, complemented
134#2563C2211yescharacteristic, complemented
135#2562C2212yes—
136#2559C2214yescomplemented
137#2559C2214yescomplemented
138#2553C2214yescomplemented
139#2553C2214yescomplemented
140#2548C2211yescharacteristic
141#2548C2211yescharacteristic
142#2548C2211yescharacteristic
143#2548C2212yescomplemented
144#2544C2212yes—
145#2542C2212yescomplemented
146#2541C2211yescharacteristic
147#2541C2212yes—
148#2541C2211yescharacteristic
149#2541C2211yescharacteristic
150#2541C2212yescomplemented
151#2540C2212yescomplemented
152#2538C2212yescomplemented
153#2537C2212yes—
154#2537C2212yescomplemented
155#2537C2211yescharacteristic, complemented
156#2536C2212yes—
157#2534C2214yes—
158#2532C2212yescomplemented
159#2526C2212yes—
160#2526C2214yescomplemented
161#2518C2212yescomplemented
162#2513C2212yescomplemented
163#2513C2211yescharacteristic, complemented
164#2512C2212yescomplemented
165#2512C2212yescomplemented
166#2512C2212yescomplemented
167#2508C2212yescomplemented
168#2508C2211yescharacteristic, complemented
169#2501C2212yescomplemented
170#2500C2212yescomplemented
171#2500C2211yescharacteristic, complemented
172#2500C2212yescomplemented
173#2497C2211yescharacteristic
174#2496C2212yes—
175#2496C2212yes—
176#2495C2212yes—
177#2491C2211yescharacteristic
178#2491C2212yescomplemented
179#2490C2212yescomplemented
180#2485C2211yescharacteristic
181#2480C2214yes—
182#2478C2212yescomplemented
183#2476C2214yescomplemented
184#2472C2214yes—
185#2470C2212yes—
186#2467C2214yescomplemented
187#2466C2212yescomplemented
188#2464C2214yescomplemented
189#2459C2212yes—
190#2457C2214yescomplemented
191#2456C2214yescomplemented
192#2455C2212yes—
193#2454C2212yescomplemented
194#2454C2212yescomplemented
195#2454C2212yescomplemented
196#2453C2211yescharacteristic, complemented
197#2448C2212yescomplemented
198#2448C2212yescomplemented
199#2447C2211yescharacteristic, complemented
200#2445C2212yes—
201#2445C2212yes—
202#2445C2212yes—
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2442C2212yescomplemented
207#2441C2211yescharacteristic, complemented
208#2439C2211yescharacteristic, complemented
209#2435C2212yes—
210#2435C2212yes—
211#2433C2212yes—
212#2433C2212yes—
213#2432C2212yescomplemented
214#2432C2211yescharacteristic, complemented
215#2431C2212yes—
216#2431C2212yes—
217#2431C2212yescomplemented
218#2429C2211yescharacteristic
219#2428C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2214yescomplemented
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2427C2212yescomplemented
228#2426C2212yescomplemented
229#2426C2212yescomplemented
230#2422C2211yescharacteristic
231#2422C2212yescomplemented
232#2421C2212yes—
233#2420C2212yescomplemented
234#2420C2212yescomplemented
235#2420C2212yescomplemented
236#2418C2214yes—
237#2416C2212yes—
238#2416C2212yescomplemented
239#2415C2211yescharacteristic
240#2415C2214yescomplemented
241#2414C2211yescharacteristic
242#2414C2214yescomplemented
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2410C2214yes—
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2407C2211yescharacteristic
253#2407C2214yescomplemented
254#2398C2212yescomplemented
255#2395C2212yescomplemented
256#2392C2212yes—
257#2392C2212yes—
258#2388C2214yescomplemented
259#2369C2211yescharacteristic, complemented
260#2366C2211yescharacteristic
261#2366C2212yescomplemented
262#2363C2212yescomplemented
263#2361C2212yescomplemented
264#2357C2212yescomplemented
265#2354C2212yescomplemented
266Q8×C4⋊C4C2211yescharacteristic, complemented
267Q8×C4⋊C4C2211yescharacteristic, complemented
268#2342C2214yes—
269#2341C2212yescomplemented
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273#2324C2212yescomplemented
274#2324C2212yescomplemented
275#2320C2212yescomplemented
276#2311C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#127C2211yescharacteristic
280C4×#127C2212yescomplemented
281C4×#124C2212yes—
282C4×#124C2212yescomplemented
283C4×#124C2212yescomplemented
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#123C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292#2298C2212yescomplemented
293#2296C2212yescomplemented
294#2293C2211yescharacteristic, complemented
295#2293C2211yescharacteristic, complemented
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#556—48no—
306#554—44no—
307#550—44no—
308#550—48no—
309#546—48no—
310#546—48no—
311#538—416no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127—44no—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2314yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327#529—44no—
328C2×#126C2312yes—
329C2×#126C2314yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#125C2312yes—
334C2×#125C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2311yescharacteristic
382C2×#121C2311yescharacteristic
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C4×#41—44no—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2314yes—
426C2×#117C2312yes—
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C22×C4⋊C4C2312yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#397C2312yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2312yes—
534#394C2312yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#393C2312yes—
542#393C2314yes—
543#393C2314yes—
544#393C2312yes—
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#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2312yes—
568#392C2314yes—
569#392C2312yes—
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2312yes—
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2312yes—
576#391C2314yes—
577#391C2311yescharacteristic
578#391C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2311yescharacteristic
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
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#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2312yes—
742#384C2312yes—
743#383C2312yes—
744#383C2314yes—
745#382C2312yes—
746#382C2311yescharacteristic
747#382C2312yes—
748#382C2312yes—
749#382C2314yes—
750#382C2311yescharacteristic
751#382C2312yes—
752#381C2314yes—
753#381C2314yes—
754#381C2312yes—
755#381C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2314yes—
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817#376C2312yes—
818#376C2312yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C25C2414yes—
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—82no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—82no—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C4⋊Q8—24no—
887C4⋊Q8—24no—
888C4⋊Q8—42no—
889#127—24no—
890#127—24no—
891#127—44no—
892#127—44no—
893#127—44no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—48no—
898#127—44no—
899#126—44no—
900#126—48no—
901#126—48no—
902#126—48no—
903#126—48no—
904#125—42no—
905#125—44no—
906#124—28no—
907#124—28no—
908#124—44no—
909#124—44no—
910#124—42no—
911#124—44no—
912#124—44no—
913#124—48no—
914#124—82no—
915#123—28no—
916#123—48no—
917#123—44no—
918#123—48no—
919#123—48no—
920#123—84no—
921#123—84no—
922C22⋊Q8—24no—
923C22⋊Q8—44no—
924C22⋊Q8—48no—
925C22⋊Q8—48no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—48no—
929C22⋊Q8—44no—
930#121—48no—
931#121—48no—
932#121—44no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—44no—
938#121—44no—
939#121—42no—
940#121—44no—
941#121—44no—
942#121—42no—
943#121—44no—
944#121—44no—
945#121—44no—
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—48no—
955#121—84no—
956#121—84no—
957#120—48no—
958#120—48no—
959#120—48no—
960#120—48no—
961#120—84no—
962C4×Q8—28no—
963C4×Q8—24no—
964C4×Q8—24no—
965C4×Q8—44no—
966C4×Q8—42no—
967C4×Q8—44no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—42no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—42no—
981C4×D4—42no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—48no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—48no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—48no—
991C4×D4—84no—
992#117—44no—
993#117—44no—
994#117—44no—
995#117—44no—
996#117—48no—
997#117—42no—
998#117—42no—
999#117—42no—
1000C2×C4⋊C4—44no—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C22⋊C4—216no—
1058C2×C22⋊C4—48no—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C42—24no—
1138C2×C42—24no—
1139C2×C42—44no—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2414yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222C24—28no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24C2514yes—
1230C24C2514yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2511yescharacteristic
1234C24C2511yescharacteristic
1235#41—416no—
1236#41—816no—
1237#41—816no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8H(5,𝔽2)14yes—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—44no—
1304C2×D4—44no—
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—816no—
1332C2×D4—816no—
1333C2×D4—816no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—28no—
1358C22×C4—28no—
1359C22×C4—28no—
1360C22×C4—24no—
1361C22×C4—42no—
1362C22×C4—41no—
1363C22×C4—42no—
1364C22×C4—41no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4C2511yescharacteristic
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2514yes—
1395C22×C4C2514yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—41no—
1492C22⋊C4—44no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4H(5,𝔽2)14yes—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—24no—
1549C42—24no—
1550C42—28no—
1551C42—22no—
1552C42—24no—
1553C42—22no—
1554C42—24no—
1555C42—24no—
1556C42—22no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—22no—
1561C42—42no—
1562C42—42no—
1563C42—42no—
1564C42—42no—
1565C42—44no—
1566C42—44no—
1567C42—42no—
1568C42—41no—
1569C42H(5,𝔽2)14yes—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—24no—
1577C23—24no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—24no—
1584C23—21no—
1585C23—24no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—24no—
1590C23—24no—
1591C23—21no—
1592C23—21no—
1593C23—22no—
1594C23—21no—
1595C23—22no—
1596C23—22no—
1597C23—24no—
1598C23—24no—
1599C23—24no—
1600C23—24no—
1601C23—22no—
1602C23—24no—
1603C23—24no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—24no—
1608C23—22no—
1609C23—21no—
1610C23—24no—
1611C23—88no—
1612C23—88no—
1613C23—88no—
1614C23—88no—
1615C23—88no—
1616C23—164no—
1617C23—164no—
1618C23C2×H(5,𝔽2)12yes—
1619C23C2611yescharacteristic
1620Q8—28no—
1621Q8—44no—
1622Q8—84no—
1623Q8—84no—
1624D4—48no—
1625D4—48no—
1626D4—44no—
1627D4—48no—
1628D4—48no—
1629D4—44no—
1630D4—44no—
1631D4—48no—
1632D4—48no—
1633D4—84no—
1634D4—88no—
1635D4—84no—
1636D4—84no—
1637D4—88no—
1638D4—88no—
1639D4—88no—
1640D4—84no—
1641D4—88no—
1642D4—88no—
1643D4—88no—
1644D4—88no—
1645D4—88no—
1646D4—164no—
1647D4—164no—
1648D4—164no—
1649D4—164no—
1650D4—164no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—48no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—48no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—88no—
1738C2×C4—84no—
1739C2×C4—88no—
1740C2×C4—88no—
1741C2×C4—164no—
1742C2×C4—164no—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×H(5,𝔽2)14yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4#58512yes—
1751C2×C4#58512yes—
1752C2×C4#58512yes—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—42no—
1761C22—41no—
1762C22—44no—
1763C22—44no—
1764C22—42no—
1765C22—44no—
1766C22—42no—
1767C22—42no—
1768C22—41no—
1769C22—44no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—44no—
1774C22—44no—
1775C22—41no—
1776C22—44no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—44no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—44no—
1785C22—42no—
1786C22—44no—
1787C22—41no—
1788C22—42no—
1789C22—44no—
1790C22—42no—
1791C22—41no—
1792C22—42no—
1793C22—44no—
1794C22—44no—
1795C22—1616no—
1796C22C22×H(5,𝔽2)11yescharacteristic
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C2×#58511yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22H(7,𝔽2)11yescharacteristic
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—24no—
1807C4—41no—
1808C4—42no—
1809C4—41no—
1810C4—44no—
1811C4—42no—
1812C4—42no—
1813C4—41no—
1814C4—42no—
1815C4—42no—
1816C4—41no—
1817C4—44no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4—41no—
1827C4—42no—
1828C4—41no—
1829C4—42no—
1830C4#354214yes—
1831C4#356214yes—
1832C2—42no—
1833C2—81no—
1834C2—82no—
1835C2—82no—
1836C2—84no—
1837C2—84no—
1838C2C2×#354211yescharacteristic
1839C2C2×#356211yescharacteristic
1840C2#6275911yescharacteristic
1841C2#6291211yescharacteristic
1842C2#6292311yescharacteristic
1843C2#6296911yescharacteristic
1844C2#6301411yescharacteristic
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. #59821C2semidirect
2. #59416C2semidirect
3. #59382C2semidirect
4. #59124C2semidirect
5. #59057C2semidirect
6. #56621C2semidirect
7. #55606C2semidirect
8. #53129C2semidirect
9. #53115C2semidirect
10. #53102C2semidirect
11. #53057C2semidirect
12. #52333C2semidirect
13. #42951C2semidirect
14. #42889C2semidirect
15. #42586C2semidirect
16. #42578C2semidirect
17. #40496C2semidirect
18. #39818C2semidirect
19. #39401C2semidirect
20. #39396C2semidirect
21. #39201C2semidirect
22. #39126C2semidirect
23. #39069C2semidirect
24. #38952C2semidirect
25. #38931C2semidirect
26. #37626C2semidirect
27. #37614C2semidirect
28. #37587C2semidirect
29. #37520C2semidirect
30. #36460C2semidirect
31. #36455C2semidirect
32. #36121C2semidirect
33. #34977C2semidirect
34. #34800C2semidirect
35. #34724C2semidirect
36. C2×#556C22semidirect
37. C2×#554C22semidirect
39. C2×#550C22semidirect
46. C2×C4×#41C22semidirect
47. #2860C22semidirect
51. #2856C22semidirect
52. #2837C22semidirect
53. #2837C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2828C22semidirect
57. #2828C22semidirect
58. #2828C22semidirect
59. #2826C22semidirect
61. #2818C22semidirect
62. #2816C22semidirect
63. #2813C22semidirect
64. #2813C22semidirect
66. #2803C22semidirect
67. #2758C22semidirect
68. #2756C22semidirect
69. #2753C22semidirect
70. #2743C22semidirect
71. #2741C22semidirect
72. #2741C22semidirect
74. #2730C22semidirect
75. #2730C22semidirect
76. #2727C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2712C22semidirect
80. #2710C22semidirect
81. #2703C22semidirect
82. #2702C22semidirect
83. #2701C22semidirect
85. #2696C22semidirect
86. #2688C22semidirect
87. #2687C22semidirect
94. #2676C22semidirect
95. #2676C22semidirect
97. #2673C22semidirect
98. #2672C22semidirect
99. #2672C22semidirect
100. #2671C22semidirect
103. #2661C22semidirect
105. #2648C22semidirect
106. #2647C22semidirect
108. #2636C22semidirect
109. #2636C22semidirect
110. #2635C22semidirect
111. #2635C22semidirect
112. #2630C22semidirect
113. #2630C22semidirect
114. #2629C22semidirect
115. #2624C22semidirect
116. #2624C22semidirect
117. #2624C22semidirect
118. #2620C22semidirect
121. #2619C22semidirect
122. #2619C22semidirect
123. #2619C22semidirect
126. #2610C22semidirect
127. #2602C22semidirect
128. #2598C22semidirect
129. #2580C22semidirect
130. #2578C22semidirect
131. #2571C22semidirect
132. #2570C22semidirect
133. #2567C22semidirect
134. #2563C22semidirect
136. #2559C22semidirect
137. #2559C22semidirect
138. #2553C22semidirect
139. #2553C22semidirect
143. #2548C22semidirect
145. #2542C22semidirect
150. #2541C22semidirect
151. #2540C22semidirect
152. #2538C22semidirect
154. #2537C22semidirect
155. #2537C22semidirect
158. #2532C22semidirect
160. #2526C22semidirect
161. #2518C22semidirect
162. #2513C22semidirect
163. #2513C22semidirect
164. #2512C22semidirect
165. #2512C22semidirect
166. #2512C22semidirect
167. #2508C22semidirect
168. #2508C22semidirect
169. #2501C22semidirect
170. #2500C22semidirect
171. #2500C22semidirect
172. #2500C22semidirect
178. #2491C22semidirect
179. #2490C22semidirect
182. #2478C22semidirect
183. #2476C22semidirect
186. #2467C22semidirect
187. #2466C22semidirect
188. #2464C22semidirect
190. #2457C22semidirect
191. #2456C22semidirect
193. #2454C22semidirect
194. #2454C22semidirect
195. #2454C22semidirect
196. #2453C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2447C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2442C22semidirect
207. #2441C22semidirect
208. #2439C22semidirect
213. #2432C22semidirect
214. #2432C22semidirect
217. #2431C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2427C22semidirect
228. #2426C22semidirect
229. #2426C22semidirect
231. #2422C22semidirect
233. #2420C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
238. #2416C22semidirect
240. #2415C22semidirect
242. #2414C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
253. #2407C22semidirect
254. #2398C22semidirect
255. #2395C22semidirect
258. #2388C22semidirect
259. #2369C22semidirect
261. #2366C22semidirect
262. #2363C22semidirect
263. #2361C22semidirect
264. #2357C22semidirect
265. #2354C22semidirect
266. Q8×C4⋊C4C22semidirect
267. Q8×C4⋊C4C22semidirect
269. #2341C22semidirect
273. #2324C22semidirect
274. #2324C22semidirect
275. #2320C22semidirect
276. #2311C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
280. C4×#127C22semidirect
282. C4×#124C22semidirect
283. C4×#124C22semidirect
285. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2298C22semidirect
293. #2296C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598212
#594162
#593822
#591242
#590572
#566212
#556062
#531292
#531152
#531022
#530572
#523332
#429512
#428892
#425862
#425782
#404962
#398182
#394012
#393962
#392012
#391262
#390692
#389522
#389312
#376262
#376142
#375872
#375202
#364602
#364552
#361212
#349772
#348002
#347242