Finite Group Databasebeta

← #7650124

Subgroups — #7650124

Order 512.

5350 conjugacy classes of subgroups.

The subgroup lattice has 1803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42751C212yesmaximal, complemented
2#42699C212yesmaximal, complemented
3#42607C212yesmaximal, complemented
4#42585C212yesmaximal, complemented
5#42571C212yesmaximal, complemented
6#42524C212yesmaximal, complemented
7#42524C212yesmaximal, complemented
8#42523C212yesmaximal, complemented
9#40785C214yesmaximal, complemented
10#40727C214yesmaximal, complemented
11#40174C212yesmaximal, complemented
12#40117C212yesmaximal, complemented
13#40021C212yesmaximal, complemented
14#40020C212yesmaximal, complemented
15#39411C212yesmaximal, complemented
16#39387C212yesmaximal, complemented
17#39221C212yesmaximal, complemented
18#39201C212yesmaximal, complemented
19#38566C214yesmaximal, complemented
20#37718C214yesmaximal, complemented
21#35558C211yesmaximal, characteristic, complemented
22#35556C211yesmaximal, characteristic, complemented
23#35554C211yesmaximal, characteristic, complemented
24#35529C211yesmaximal, characteristic, complemented
25#35528C211yesmaximal, characteristic
26#35515C211yesmaximal, characteristic, complemented
27#35264C211yesmaximal, characteristic, complemented
28#35254C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30#34953C211yesmaximal, characteristic, complemented
31#34952C211yesmaximal, characteristic, complemented
32C2×#2548C211yesmaximal, characteristic, complemented
33#34271C211yesmaximal, characteristic, complemented
34#34269C211yesmaximal, characteristic, complemented
35#34255C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#542C2214yescomplemented
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×#127C2211yescharacteristic
42C22×#124C2212yes—
43C2×#518C2211yescharacteristic
44C2×#518C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47#2861C2212yescomplemented
48#2858C2212yescomplemented
49#2854C2212yescomplemented
50#2854C2212yescomplemented
51#2852C2214yes—
52#2837C2214yescomplemented
53#2832C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2801C2214yescomplemented
57#2800C2214yescomplemented
58#2795C2214yescomplemented
59#2779C2214yescomplemented
60#2757C2214yescomplemented
61#2746C2214yescomplemented
62#2741C2214yescomplemented
63#2737C2214yescomplemented
64#2731C2214yescomplemented
65#2730C2214yescomplemented
66#2730C2214yescomplemented
67#2718C2214yescomplemented
68#2717C2214yescomplemented
69#2712C2214yescomplemented
70#2712C2214yescomplemented
71#2710C2214yescomplemented
72#2710C2214yescomplemented
73#2705C2214yescomplemented
74#2705C2214yescomplemented
75#2702C2214yescomplemented
76#2701C2214yescomplemented
77#2701C2214yescomplemented
78#2700C2214yescomplemented
79#2692C2214yescomplemented
80#2691C2214yescomplemented
81#2691C2214yescomplemented
82#2687C2214yescomplemented
83#2686C2214yescomplemented
84#2686C2214yescomplemented
85#2674C2214yescomplemented
86#2672C2214yescomplemented
87#2672C2214yescomplemented
88#2663C2214yescomplemented
89#2662C2214yescomplemented
90#2662C2214yescomplemented
91#2653C2214yescomplemented
92#2653C2214yescomplemented
93#2651C2214yescomplemented
94#2649C2214yescomplemented
95#2643C2214yes—
96#2641C2212yescomplemented
97#2640C2212yescomplemented
98#2632C2214yescomplemented
99#2630C2214yescomplemented
100#2630C2214yescomplemented
101#2624C2214yescomplemented
102#2624C2212yescomplemented
103#2624C2212yescomplemented
104#2620C2214yescomplemented
105#2592C2212yescomplemented
106#2592C2212yescomplemented
107#2584C2211yescharacteristic, complemented
108#2584C2211yescharacteristic, complemented
109#2584C2211yescharacteristic, complemented
110#2584C2211yescharacteristic, complemented
111#2583C2212yes—
112#2583C2212yes—
113#2582C2211yescharacteristic, complemented
114#2582C2211yescharacteristic, complemented
115#2581C2211yescharacteristic, complemented
116#2581C2211yescharacteristic, complemented
117#2580C2212yescomplemented
118#2580C2211yescharacteristic, complemented
119#2580C2211yescharacteristic, complemented
120#2580C2212yescomplemented
121#2579C2212yes—
122#2579C2212yes—
123#2567C2211yescharacteristic, complemented
124#2567C2211yescharacteristic, complemented
125#2566C2212yescomplemented
126#2566C2212yescomplemented
127#2563C2212yescomplemented
128#2548C2212yes—
129#2548C2212yes—
130#2548C2212yes—
131#2548C2212yes—
132#2548C2212yes—
133#2548C2212yes—
134#2548C2212yes—
135#2548C2212yes—
136#2548C2212yescomplemented
137#2548C2212yescomplemented
138#2546C2211yescharacteristic, complemented
139#2546C2211yescharacteristic, complemented
140#2544C2212yes—
141#2544C2212yes—
142#2542C2212yescomplemented
143#2541C2212yes—
144#2541C2212yes—
145#2538C2211yescharacteristic, complemented
146#2538C2212yescomplemented
147#2538C2212yescomplemented
148#2538C2211yescharacteristic, complemented
149#2521C2214yescomplemented
150#2514C2212yescomplemented
151#2513C2212yescomplemented
152#2513C2212yescomplemented
153#2513C2212yescomplemented
154#2513C2212yescomplemented
155#2513C2212yescomplemented
156#2512C2212yescomplemented
157#2512C2212yescomplemented
158#2512C2212yescomplemented
159#2512C2212yescomplemented
160#2512C2212yescomplemented
161#2511C2212yescomplemented
162#2502C2212yes—
163#2497C2212yescomplemented
164#2496C2212yescomplemented
165#2495C2212yescomplemented
166#2494C2212yescomplemented
167#2491C2214yescomplemented
168#2491C2212yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2490C2212yescomplemented
173#2490C2212yescomplemented
174#2490C2212yescomplemented
175#2490C2212yescomplemented
176#2487C2212yes—
177#2480C2214yes—
178#2480C2214yes—
179#2479C2214yescomplemented
180#2477C2214yescomplemented
181#2474C2214yescomplemented
182#2472C2214yes—
183#2472C2214yes—
184#2472C2214yes—
185#2472C2214yes—
186#2470C2214yescomplemented
187#2461C2214yescomplemented
188#2461C2214yescomplemented
189#2458C2214yescomplemented
190#2454C2212yescomplemented
191#2454C2212yescomplemented
192#2454C2212yescomplemented
193#2454C2212yescomplemented
194#2452C2212yescomplemented
195#2452C2212yescomplemented
196#2452C2212yescomplemented
197#2452C2212yescomplemented
198#2448C2212yescomplemented
199#2448C2212yescomplemented
200#2445C2212yes—
201#2445C2212yes—
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yes—
205#2445C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yescomplemented
209#2445C2212yescomplemented
210#2437C2214yes—
211#2437C2214yes—
212#2437C2214yes—
213#2437C2214yes—
214#2434C2212yes—
215#2428C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2428C2212yes—
219#2427C2214yescomplemented
220#2426C2214yescomplemented
221#2422C2214yescomplemented
222#2418C2214yes—
223#2418C2214yes—
224#2410C2214yes—
225#2410C2214yes—
226#2409C2212yes—
227#2405C2214yes—
228#2405C2214yes—
229#2399C2212yescomplemented
230#2399C2212yescomplemented
231#2396C2212yescomplemented
232#2396C2212yescomplemented
233C2×#394C2212yes—
234C2×#394C2212yes—
235#2370C2212yescomplemented
236#2370C2212yescomplemented
237#2370C2212yescomplemented
238#2370C2212yescomplemented
239#2369C2212yescomplemented
240#2369C2212yescomplemented
241#2367C2212yescomplemented
242#2367C2212yescomplemented
243#2366C2212yescomplemented
244#2366C2212yescomplemented
245#2365C2212yescomplemented
246#2365C2212yescomplemented
247#2358C2214yes—
248#2358C2214yes—
249#2357C2212yescomplemented
250#2357C2212yescomplemented
251#2354C2212yescomplemented
252#2354C2212yescomplemented
253#2342C2214yes—
254#2342C2214yes—
255#2337C2214yescomplemented
256#2335C2214yescomplemented
257#2329C2214yes—
258#2324C2214yescomplemented
259#2324C2212yescomplemented
260#2324C2212yescomplemented
261#2319C2212yescomplemented
262#2319C2212yescomplemented
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2316C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2309C2211yescharacteristic
269#2309C2211yescharacteristic
270#2309C2211yescharacteristic
271#2309C2211yescharacteristic
272C4×C4⋊Q8C2212yescomplemented
273C4×C4⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2214yes—
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2211yescharacteristic
285#2296C2211yescharacteristic
286#2296C2211yescharacteristic
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289C2×#390C2212yes—
290C2×#390C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#390C2211yescharacteristic
293C2×#390C2211yescharacteristic
294#2285C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305#544—28no—
306#542—416no—
307#535—28no—
308#535—44no—
309#533—44no—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127—44no—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#124—48no—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366#518—28no—
367#518—44no—
368C4×#41—44no—
369C2×C4×Q8—44no—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2314yes—
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2314yes—
405C2×#117C2314yes—
406C2×#117C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C22⋊C4C2314yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2314yes—
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2312yes—
426C22×C42C2312yes—
427#401C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#400C2314yes—
433#399C2312yes—
434#399C2314yes—
435#399C2312yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#395C2312yes—
484#395C2312yes—
485#395C2312yes—
486#395C2312yes—
487#395C2312yes—
488#395C2312yes—
489#395C2312yes—
490#395C2312yes—
491#395C2312yes—
492#395C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
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#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2312yes—
531#393C2312yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2314yes—
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2314yes—
646#389C2314yes—
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#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
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#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2312yes—
746#384C2311yescharacteristic
747#383C2314yes—
748#382C2311yescharacteristic
749#382C2312yes—
750#382C2311yescharacteristic
751#382C2312yes—
752#381C2314yes—
753#381C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772#379C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C25C2412yes—
822C25C2412yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8—24no—
827C22×Q8—42no—
828C22×Q8—42no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—24no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—82no—
848C22×D4—82no—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C4⋊Q8—28no—
880C4⋊Q8—28no—
881C4⋊Q8—28no—
882C4⋊Q8—42no—
883C4⋊Q8—42no—
884C4⋊Q8—44no—
885#127—28no—
886#127—44no—
887#127—44no—
888#127—44no—
889#127—44no—
890#127—44no—
891#126—48no—
892#126—48no—
893#126—84no—
894#125—28no—
895#125—28no—
896#125—42no—
897#125—42no—
898#124—216no—
899#124—28no—
900#124—48no—
901#124—48no—
902#124—44no—
903#124—48no—
904#124—48no—
905#124—48no—
906#124—84no—
907#124—84no—
908#123—48no—
909#123—48no—
910#123—48no—
911#123—84no—
912#123—84no—
913#123—84no—
914C22⋊Q8—28no—
915C22⋊Q8—216no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—48no—
919C22⋊Q8—44no—
920C22⋊Q8—48no—
921C22⋊Q8—84no—
922C22⋊Q8—84no—
923#121—28no—
924#121—28no—
925#121—48no—
926#121—48no—
927#121—44no—
928#121—44no—
929#121—84no—
930#121—84no—
931#120—216no—
932#120—48no—
933C4×Q8—42no—
934C4×Q8—42no—
935C4×Q8—42no—
936C4×Q8—42no—
937C4×Q8—42no—
938C4×Q8—42no—
939C4×Q8—42no—
940C4×Q8—42no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—48no—
944C4×Q8—42no—
945C4×Q8—42no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—48no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—84no—
960#117—24no—
961#117—24no—
962#117—24no—
963#117—24no—
964#117—24no—
965#117—24no—
966#117—44no—
967#117—48no—
968#117—84no—
969#117#4118yes—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—42no—
973C2×C4⋊C4—42no—
974C2×C4⋊C4—42no—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C22⋊C4—216no—
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—44no—
1053C2×C22⋊C4—44no—
1054C2×C22⋊C4—44no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4—82no—
1057C2×C22⋊C4—82no—
1058C2×C22⋊C4—82no—
1059C2×C22⋊C4—82no—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42—44no—
1125C2×C42—44no—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213C24—24no—
1214C24—24no—
1215C24—24no—
1216C24—24no—
1217C24—24no—
1218C24—24no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24—42no—
1225C24—42no—
1226C24—42no—
1227C24C2514yes—
1228C24C2514yes—
1229C24C2512yes—
1230C24C2511yescharacteristic
1231#41—416no—
1232C2×Q8—22no—
1233C2×Q8—28no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—41no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—41no—
1247C2×Q8—41no—
1248C2×Q8—44no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—44no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×Q8—416no—
1256C2×Q8H(5,𝔽2)14yes—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—28no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—416no—
1300C2×D4—416no—
1301C2×D4—816no—
1302C2×D4—816no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—28no—
1319C22×C4—28no—
1320C22×C4—24no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—41no—
1330C22×C4—42no—
1331C22×C4—41no—
1332C22×C4—42no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4C2×#4114yes—
1349C22×C4H(5,𝔽2)14yes—
1350C22×C42−1+414yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2514yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—28no—
1389C4⋊C4—28no—
1390C4⋊C4—28no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4C2×#4114yes—
1456C4⋊C4C2×#4114yes—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4C2×#4118yes—
1518C42—24no—
1519C42—24no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—24no—
1533C42—28no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—42no—
1539C42—42no—
1540C42—44no—
1541C42—44no—
1542C42—42no—
1543C42—44no—
1544C42—44no—
1545C42—42no—
1546C42—44no—
1547C42—42no—
1548C42C2×#4118yes—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—24no—
1554C23—24no—
1555C23—22no—
1556C23—22no—
1557C23—24no—
1558C23—24no—
1559C23—22no—
1560C23—24no—
1561C23—24no—
1562C23—22no—
1563C23—24no—
1564C23—24no—
1565C23—22no—
1566C23—24no—
1567C23—24no—
1568C23—22no—
1569C23—22no—
1570C23—24no—
1571C23—24no—
1572C23—24no—
1573C23—24no—
1574C23—48no—
1575C23—48no—
1576C23—84no—
1577C23—84no—
1578C23—84no—
1579C23—84no—
1580C23—84no—
1581C23—84no—
1582C23—84no—
1583C23—84no—
1584C23—84no—
1585C23—84no—
1586C23—84no—
1587C23—84no—
1588C23C22×#4112yes—
1589C23C2×H(5,𝔽2)12yes—
1590C23C2×2−1+412yes—
1591C23C2611yescharacteristic
1592Q8—44no—
1593Q8—44no—
1594Q8—44no—
1595Q8—44no—
1596Q8—44no—
1597Q8—88no—
1598Q8—84no—
1599Q8—84no—
1600D4—48no—
1601D4—48no—
1602D4—48no—
1603D4—48no—
1604D4—48no—
1605D4—44no—
1606D4—88no—
1607D4—88no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—88no—
1612D4—164no—
1613D4—164no—
1614C2×C4—28no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—48no—
1700C2×C4—88no—
1701C2×C4—88no—
1702C2×C4—84no—
1703C2×C4—84no—
1704C2×C4—82no—
1705C2×C4—82no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—164no—
1709C2×C4—164no—
1710C2×C4#542116yescomplemented
1711C2×C4C22×#4114yes—
1712C2×C4C22×#4114yes—
1713C2×C4C22×#4112yes—
1714C2×C4C22×#4112yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×H(5,𝔽2)12yes—
1718C2×C4C2×H(5,𝔽2)12yes—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×2−1+412yes—
1721C2×C4C2×2−1+412yes—
1722C2×C4#58512yes—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—44no—
1730C22—42no—
1731C22—44no—
1732C22—44no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—44no—
1737C22—44no—
1738C22—42no—
1739C22—44no—
1740C22—44no—
1741C22—42no—
1742C22—44no—
1743C22—44no—
1744C22—42no—
1745C22—44no—
1746C22—44no—
1747C22—42no—
1748C22—44no—
1749C22—44no—
1750C22—168no—
1751C22—168no—
1752C22C2×#54214yes—
1753C22C23×#4111yescharacteristic
1754C22C22×H(5,𝔽2)11yescharacteristic
1755C22C22×H(5,𝔽2)11yescharacteristic
1756C22C22×2−1+411yescharacteristic
1757C22C2×#58511yescharacteristic
1758C22H(7,𝔽2)11yescharacteristic
1759C22H(7,𝔽2)11yescharacteristic
1760C4—24no—
1761C4—24no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—42no—
1767C4—44no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—41no—
1772C4—41no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—42no—
1782C4—41no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—44no—
1787C4—42no—
1788C4—42no—
1789C4C2×#54214yes—
1790C4C2×#54214yes—
1791C2—24no—
1792C2—82no—
1793C2—84no—
1794C2—84no—
1795C2C22×#54211yescharacteristic
1796C2#6281811yescharacteristic
1797C2#6287411yescharacteristic
1798C2#6291711yescharacteristic
1799C2#6296211yescharacteristic
1800C2#6298611yescharacteristic
1801C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35528C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42751C2semidirect
2. #42699C2semidirect
3. #42607C2semidirect
4. #42585C2semidirect
5. #42571C2semidirect
6. #42524C2semidirect
7. #42524C2semidirect
8. #42523C2semidirect
9. #40785C2semidirect
10. #40727C2semidirect
11. #40174C2semidirect
12. #40117C2semidirect
13. #40021C2semidirect
14. #40020C2semidirect
15. #39411C2semidirect
16. #39387C2semidirect
17. #39221C2semidirect
18. #39201C2semidirect
19. #38566C2semidirect
20. #37718C2semidirect
21. #35558C2semidirect
22. #35556C2semidirect
23. #35554C2semidirect
24. #35529C2semidirect
26. #35515C2semidirect
27. #35264C2semidirect
28. #35254C2semidirect
29. #35160C2semidirect
30. #34953C2semidirect
31. #34952C2semidirect
32. C2×#2548C2semidirect
33. #34271C2semidirect
34. #34269C2semidirect
35. #34255C2semidirect
37. C2×#542C22semidirect
47. #2861C22semidirect
48. #2858C22semidirect
49. #2854C22semidirect
50. #2854C22semidirect
52. #2837C22semidirect
53. #2832C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2801C22semidirect
57. #2800C22semidirect
58. #2795C22semidirect
59. #2779C22semidirect
60. #2757C22semidirect
61. #2746C22semidirect
62. #2741C22semidirect
63. #2737C22semidirect
64. #2731C22semidirect
65. #2730C22semidirect
66. #2730C22semidirect
67. #2718C22semidirect
68. #2717C22semidirect
69. #2712C22semidirect
70. #2712C22semidirect
71. #2710C22semidirect
72. #2710C22semidirect
73. #2705C22semidirect
74. #2705C22semidirect
75. #2702C22semidirect
76. #2701C22semidirect
77. #2701C22semidirect
78. #2700C22semidirect
79. #2692C22semidirect
80. #2691C22semidirect
81. #2691C22semidirect
82. #2687C22semidirect
83. #2686C22semidirect
84. #2686C22semidirect
85. #2674C22semidirect
86. #2672C22semidirect
87. #2672C22semidirect
88. #2663C22semidirect
89. #2662C22semidirect
90. #2662C22semidirect
91. #2653C22semidirect
92. #2653C22semidirect
93. #2651C22semidirect
94. #2649C22semidirect
96. #2641C22semidirect
97. #2640C22semidirect
98. #2632C22semidirect
99. #2630C22semidirect
100. #2630C22semidirect
101. #2624C22semidirect
102. #2624C22semidirect
103. #2624C22semidirect
104. #2620C22semidirect
105. #2592C22semidirect
106. #2592C22semidirect
107. #2584C22semidirect
108. #2584C22semidirect
109. #2584C22semidirect
110. #2584C22semidirect
113. #2582C22semidirect
114. #2582C22semidirect
115. #2581C22semidirect
116. #2581C22semidirect
117. #2580C22semidirect
118. #2580C22semidirect
119. #2580C22semidirect
120. #2580C22semidirect
123. #2567C22semidirect
124. #2567C22semidirect
125. #2566C22semidirect
126. #2566C22semidirect
127. #2563C22semidirect
136. #2548C22semidirect
137. #2548C22semidirect
138. #2546C22semidirect
139. #2546C22semidirect
142. #2542C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2521C22semidirect
150. #2514C22semidirect
151. #2513C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
156. #2512C22semidirect
157. #2512C22semidirect
158. #2512C22semidirect
159. #2512C22semidirect
160. #2512C22semidirect
161. #2511C22semidirect
163. #2497C22semidirect
164. #2496C22semidirect
165. #2495C22semidirect
166. #2494C22semidirect
167. #2491C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2490C22semidirect
173. #2490C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
179. #2479C22semidirect
180. #2477C22semidirect
181. #2474C22semidirect
186. #2470C22semidirect
187. #2461C22semidirect
188. #2461C22semidirect
189. #2458C22semidirect
190. #2454C22semidirect
191. #2454C22semidirect
192. #2454C22semidirect
193. #2454C22semidirect
194. #2452C22semidirect
195. #2452C22semidirect
196. #2452C22semidirect
197. #2452C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
208. #2445C22semidirect
209. #2445C22semidirect
219. #2427C22semidirect
220. #2426C22semidirect
221. #2422C22semidirect
229. #2399C22semidirect
230. #2399C22semidirect
231. #2396C22semidirect
232. #2396C22semidirect
235. #2370C22semidirect
236. #2370C22semidirect
237. #2370C22semidirect
238. #2370C22semidirect
239. #2369C22semidirect
240. #2369C22semidirect
241. #2367C22semidirect
242. #2367C22semidirect
243. #2366C22semidirect
244. #2366C22semidirect
245. #2365C22semidirect
246. #2365C22semidirect
249. #2357C22semidirect
250. #2357C22semidirect
251. #2354C22semidirect
252. #2354C22semidirect
255. #2337C22semidirect
256. #2335C22semidirect
258. #2324C22semidirect
259. #2324C22semidirect
260. #2324C22semidirect
261. #2319C22semidirect
262. #2319C22semidirect
272. C4×C4⋊Q8C22semidirect
273. C4×C4⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
1710. C2×C4#542semidirect

Maximal subgroups

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

subgroupindex
#427512
#426992
#426072
#425852
#425712
#425242
#425232
#407852
#407272
#401742
#401172
#400212
#400202
#394112
#393872
#392212
#392012
#385662
#377182
#355582
#355562
#355542
#355292
#355282
#355152
#352642
#352542
#351602
#349532
#349522
C2×#25482
#342712
#342692
#342552