Finite Group Databasebeta

← #7699923

Subgroups — #7699923

Order 512.

6241 conjugacy classes of subgroups.

The subgroup lattice has 1831 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59905C212yesmaximal, complemented
2#59738C214yesmaximal, complemented
3#59724C214yesmaximal, complemented
4#59683C212yesmaximal, complemented
5#59650C212yesmaximal, complemented
6#59483C212yesmaximal, complemented
7#59457C211yesmaximal, characteristic, complemented
8#59424C212yesmaximal, complemented
9#59401C212yesmaximal, complemented
10#59384C214yesmaximal, complemented
11#59124C211yesmaximal, characteristic, complemented
12#59033C211yesmaximal, characteristic, complemented
13#36596C211yesmaximal, characteristic, complemented
14#36591C211yesmaximal, characteristic, complemented
15#36586C211yesmaximal, characteristic, complemented
16#36552C211yesmaximal, characteristic, complemented
17#36527C212yesmaximal, complemented
18#36493C212yesmaximal, complemented
19#36469C211yesmaximal, characteristic, complemented
20#36462C212yesmaximal, complemented
21#36460C211yesmaximal, characteristic, complemented
22#36442C212yesmaximal, complemented
23#36441C212yesmaximal, complemented
24#36440C212yesmaximal, complemented
25#36362C212yesmaximal, complemented
26#36291C212yesmaximal, complemented
27#36244C214yesmaximal, complemented
28#36121C211yesmaximal, characteristic, complemented
29C4×#554C211yesmaximal, characteristic, complemented
30C4×#553C211yesmaximal, characteristic, complemented
31C4×#550C211yesmaximal, characteristic, complemented
32C4×#546C212yesmaximal, complemented
33C4×#546C212yesmaximal, complemented
34#34141C211yesmaximal, characteristic, complemented
35C2×#2366C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#554C2211yescharacteristic
38C2×#553C2211yescharacteristic
39C2×#553C2212yescomplemented
40C2×#550C2211yescharacteristic
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C2×C4×#41C2212yescomplemented
46C2×C4×#41C2212yescomplemented
47C22×C4×D4C2212yes—
48C22×C4×D4C2212yes—
49#2861C2212yescomplemented
50#2860C2212yescomplemented
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic
54#2856C2212yescomplemented
55#2854C2212yescomplemented
56#2852C2214yescomplemented
57#2851C2212yes—
58#2850C2212yes—
59#2850C2214yescomplemented
60#2849C2214yes—
61#2786C2214yescomplemented
62#2780C2214yescomplemented
63#2778C2214yescomplemented
64#2753C2214yescomplemented
65#2740C2214yescomplemented
66#2711C2214yescomplemented
67#2696C2214yescomplemented
68#2688C2214yescomplemented
69#2673C2214yes—
70#2602C2214yescomplemented
71#2602C2214yescomplemented
72#2602C2214yescomplemented
73#2601C2214yescomplemented
74#2600C2214yescomplemented
75#2600C2214yescomplemented
76#2598C2214yescomplemented
77#2596C2214yescomplemented
78#2595C2214yescomplemented
79#2595C2214yescomplemented
80#2592C2212yescomplemented
81#2590C2214yescomplemented
82#2580C2212yescomplemented
83#2576C2214yescomplemented
84#2576C2214yescomplemented
85#2572C2214yescomplemented
86#2571C2211yescharacteristic, complemented
87#2568C2211yescharacteristic, complemented
88#2566C2212yescomplemented
89#2566C2212yescomplemented
90#2560C2214yescomplemented
91#2559C2214yescomplemented
92#2559C2214yescomplemented
93#2558C2214yescomplemented
94#2557C2214yescomplemented
95#2554C2214yescomplemented
96#2554C2214yescomplemented
97#2554C2214yescomplemented
98#2552C2211yescharacteristic, complemented
99#2548C2211yescharacteristic
100#2547C2211yescharacteristic, complemented
101#2544C2212yes—
102#2544C2212yescomplemented
103#2544C2212yescomplemented
104#2543C2214yescomplemented
105#2541C2212yes—
106#2541C2211yescharacteristic
107#2540C2214yescomplemented
108#2538C2212yescomplemented
109#2535C2212yescomplemented
110#2535C2214yescomplemented
111#2526C2214yescomplemented
112#2518C2214yescomplemented
113#2516C2214yescomplemented
114#2516C2214yescomplemented
115#2514C2212yescomplemented
116#2513C2212yescomplemented
117#2512C2212yescomplemented
118#2512C2212yescomplemented
119#2511C2212yescomplemented
120#2510C2214yes—
121#2510C2214yescomplemented
122#2508C2212yescomplemented
123#2505C2214yes—
124#2502C2212yes—
125#2500C2212yescomplemented
126#2494C2212yescomplemented
127#2491C2212yescomplemented
128#2490C2212yescomplemented
129#2487C2212yes—
130#2480C2214yes—
131#2480C2214yes—
132#2472C2214yes—
133#2471C2214yescomplemented
134#2471C2214yescomplemented
135#2467C2214yescomplemented
136#2466C2214yescomplemented
137#2464C2214yescomplemented
138#2464C2214yescomplemented
139#2459C2214yescomplemented
140#2457C2214yescomplemented
141#2456C2214yescomplemented
142#2456C2214yescomplemented
143#2455C2214yescomplemented
144#2454C2212yescomplemented
145#2453C2212yescomplemented
146#2452C2212yescomplemented
147#2450C2214yescomplemented
148#2448C2212yescomplemented
149#2448C2212yescomplemented
150#2448C2212yescomplemented
151#2447C2212yescomplemented
152#2447C2212yescomplemented
153#2445C2212yes—
154#2445C2212yes—
155#2445C2212yes—
156#2445C2212yescomplemented
157#2444C2214yescomplemented
158#2444C2214yescomplemented
159#2437C2214yes—
160#2435C2212yes—
161#2433C2212yes—
162#2431C2212yes—
163#2431C2212yes—
164#2431C2212yescomplemented
165#2428C2212yes—
166#2428C2212yes—
167#2428C2212yes—
168#2426C2212yescomplemented
169#2424C2214yes—
170#2424C2214yes—
171#2422C2212yescomplemented
172#2420C2212yescomplemented
173#2420C2212yescomplemented
174#2418C2214yes—
175#2416C2212yescomplemented
176#2410C2214yes—
177#2408C2212yes—
178#2408C2212yes—
179#2408C2212yes—
180#2407C2212yescomplemented
181#2374C2212yescomplemented
182#2373C2212yescomplemented
183#2370C2212yescomplemented
184#2370C2211yescharacteristic, complemented
185#2369C2211yescharacteristic, complemented
186#2368C2212yes—
187#2368C2212yescomplemented
188#2367C2212yescomplemented
189#2367C2212yescomplemented
190#2367C2212yescomplemented
191#2367C2212yescomplemented
192#2366C2212yes—
193#2366C2212yes—
194#2366C2211yescharacteristic
195#2366C2211yescharacteristic
196#2366C2214yes—
197#2366C2212yes—
198#2366C2211yescharacteristic
199#2366C2211yescharacteristic
200#2366C2212yes—
201#2366C2211yescharacteristic
202#2366C2212yescomplemented
203#2365C2211yescharacteristic, complemented
204#2365C2211yescharacteristic, complemented
205#2364C2212yes—
206#2364C2214yescomplemented
207#2364C2214yescomplemented
208#2364C2214yescomplemented
209#2363C2214yescomplemented
210#2363C2212yescomplemented
211#2363C2212yescomplemented
212#2363C2212yescomplemented
213#2363C2211yescharacteristic, complemented
214#2361C2211yescharacteristic
215#2361C2212yescomplemented
216#2361C2212yescomplemented
217#2360C2212yes—
218#2360C2211yescharacteristic
219#2360C2211yescharacteristic, complemented
220#2359C2214yescomplemented
221#2359C2214yescomplemented
222#2358C2214yes—
223#2358C2214yes—
224#2358C2214yes—
225#2357C2211yescharacteristic, complemented
226#2357C2212yescomplemented
227#2357C2212yescomplemented
228#2355C2211yescharacteristic, complemented
229#2355C2212yescomplemented
230#2354C2212yescomplemented
231#2354C2211yescharacteristic, complemented
232#2353C2212yes—
233#2352C2212yes—
234#2352C2211yescharacteristic
235Q8×C4⋊C4C2211yescharacteristic, complemented
236#2349C2212yes—
237#2349C2212yescomplemented
238#2349C2212yescomplemented
239D4×C4⋊C4C2211yescharacteristic
240#2347C2211yescharacteristic, complemented
241#2347C2212yescomplemented
242#2345C2211yescharacteristic
243#2345C2211yescharacteristic
244#2345C2211yescharacteristic, complemented
245#2342C2214yes—
246#2342C2214yes—
247#2341C2212yescomplemented
248#2339C2212yescomplemented
249#2339C2212yescomplemented
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253C4×C4⋊Q8C2211yescharacteristic, complemented
254C4×#127C2211yescharacteristic
255C4×#127C2212yescomplemented
256C4×#125C2212yescomplemented
257C4×#125C2211yescharacteristic, complemented
258C4×#126C2212yescomplemented
259C4×#124C2212yescomplemented
260C4×#124C2212yescomplemented
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2212yes—
264C4×C22⋊Q8C2211yescharacteristic
265C4×C22⋊Q8C2212yescomplemented
266C4×C22⋊Q8C2211yescharacteristic, complemented
267C4×#123C2212yescomplemented
268C4×#123C2214yescomplemented
269C4×#123C2214yescomplemented
270C4×#121C2212yes—
271C4×#121C2211yescharacteristic
272C4×#121C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#121C2212yescomplemented
275C4×#121C2214yescomplemented
276C4×#121C2214yescomplemented
277C4×#121C2214yescomplemented
278C4×#121C2211yescharacteristic, complemented
279C4×#120C2214yes—
280C4×#120C2214yes—
281#2297C2212yescomplemented
282#2293C2212yescomplemented
283C2×#390C2212yes—
284C2×#390C2212yes—
285#2290C2214yescomplemented
286C2×#386C2214yes—
287C42×Q8C2211yescharacteristic, complemented
288C42×D4C2212yes—
289C42×D4C2211yescharacteristic
290C42×D4C2212yes—
291C42×D4C2212yescomplemented
292C42×D4C2212yescomplemented
293C42×D4C2211yescharacteristic, complemented
294C4×#117C2211yescharacteristic, complemented
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2214yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C24×C4C2314yes—
305#559—48no—
306#554—28no—
307#553—28no—
308#553—48no—
309#550—28no—
310#546—216no—
311#546—216no—
312#532—28no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127—28no—
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C4×#41—48no—
368C4×#41—48no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×D4—48no—
377C2×C4×D4—48no—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2311yescharacteristic
417C2×#117C2312yes—
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2314yes—
421C2×#117C2314yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436C22×C42C2314yes—
437C22×C42C2312yes—
438C22×C42C2314yes—
439C22×C42C2312yes—
440C22×C42C2312yes—
441#401C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#393C2314yes—
485#393C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2311yescharacteristic
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2311yescharacteristic
699#384C2312yes—
700#383C2312yes—
701#383C2314yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2312yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#379C2314yes—
729#379C2314yes—
730#379C2314yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C43C2312yes—
823C25C2414yes—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—28no—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—28no—
836C22×D4—28no—
837C22×D4—28no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—82no—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C23×C4—48no—
862C23×C4—48no—
863C23×C4—48no—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C4⋊Q8—24no—
888C4⋊Q8—24no—
889#127—28no—
890#127—28no—
891#127—28no—
892#127—28no—
893#127—24no—
894#127—44no—
895#127#4118yes—
896#126—28no—
897#126—48no—
898#126—84no—
899#125—28no—
900#125—24no—
901#125—44no—
902#124—28no—
903#124—28no—
904#124—28no—
905#124—48no—
906#124—44no—
907#124—44no—
908#123—216no—
909#123—216no—
910#123—28no—
911#123—48no—
912#123—48no—
913#123—48no—
914C22⋊Q8—24no—
915C22⋊Q8—28no—
916C22⋊Q8—28no—
917C22⋊Q8—28no—
918C22⋊Q8—84no—
919C22⋊Q8#4118yescomplemented
920#121—28no—
921#121—28no—
922#121—28no—
923#121—216no—
924#121—28no—
925#121—28no—
926#121—24no—
927#121—24no—
928#121—28no—
929#121—216no—
930#121—216no—
931#121—48no—
932#121—44no—
933#121—44no—
934#121—84no—
935#121—84no—
936#121—82no—
937#120—216no—
938#120—216no—
939#120—48no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—28no—
943C4×Q8—24no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—24no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—24no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—28no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—48no—
972C4×D4—44no—
973C4×D4—48no—
974C4×D4—48no—
975C4×D4—48no—
976C4×D4—48no—
977C4×D4—48no—
978C4×D4—48no—
979C4×D4—48no—
980C4×D4—44no—
981C4×D4—42no—
982C4×D4—44no—
983C4×D4—84no—
984C4×D4—82no—
985C4×D4#4118yescomplemented
986#117—24no—
987#117—24no—
988#117—28no—
989#117—48no—
990#117—48no—
991C2×C4⋊C4—24no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—24no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—24no—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C22⋊C4—216no—
1053C2×C22⋊C4—216no—
1054C2×C22⋊C4—48no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4—84no—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C42—24no—
1120C2×C42—24no—
1121C2×C42—44no—
1122C2×C42—44no—
1123C2×C42—48no—
1124C2×C42—44no—
1125C2×C42—44no—
1126C2×C42—48no—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
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#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2411yescharacteristic
1204#95C2414yes—
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2412yes—
1208#95C2411yescharacteristic
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227C24—28no—
1228C24—28no—
1229C24—28no—
1230C24—28no—
1231C24—44no—
1232C24—44no—
1233C24—44no—
1234C24C2514yes—
1235C24C2512yes—
1236C24C2514yes—
1237C24C2511yescharacteristic
1238C24C2511yescharacteristic
1239#41—432no—
1240#41—432no—
1241C2×Q8—22no—
1242C2×Q8—24no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8C2×#4114yes—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—28no—
1255C2×D4—28no—
1256C2×D4—28no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—28no—
1269C2×D4—28no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—432no—
1283C2×D4—432no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—816no—
1306C2×D4C2×#4118yes—
1307C2×D4C2×#4118yes—
1308C2×D4C2×#4114yes—
1309C2×D4C2×#4118yes—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—28no—
1317C22×C4—28no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—28no—
1326C22×C4—28no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—28no—
1332C22×C4—28no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—28no—
1338C22×C4—28no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—28no—
1344C22×C4—28no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—41no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—41no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—832no—
1377C22×C4C2×#4114yes—
1378C22×C4C2×#4114yes—
1379C22×C4C2×#4114yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2514yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—28no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—41no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4C2×#4114yes—
1461C4⋊C4C2×#4114yes—
1462C4⋊C4C2×#4118yes—
1463C4⋊C4H(5,𝔽2)14yes—
1464C4⋊C4H(5,𝔽2)14yes—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—22no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—41no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
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—44no—
1524C22⋊C4C2×#4114yes—
1525C22⋊C4C2×#4118yes—
1526C22⋊C4C2×#4114yes—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—22no—
1538C42—24no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—22no—
1543C42—28no—
1544C42—24no—
1545C42—24no—
1546C42—28no—
1547C42—24no—
1548C42—22no—
1549C42—42no—
1550C42—42no—
1551C42—42no—
1552C42—42no—
1553C42—42no—
1554C42—42no—
1555C42—42no—
1556C42—42no—
1557C42—44no—
1558C42—44no—
1559C42—42no—
1560C42—41no—
1561C42—42no—
1562C42—41no—
1563C42—42no—
1564C42—42no—
1565C42C2×#4114yes—
1566C42C2×#4114yes—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—24no—
1573C23—24no—
1574C23—21no—
1575C23—21no—
1576C23—24no—
1577C23—24no—
1578C23—21no—
1579C23—21no—
1580C23—24no—
1581C23—24no—
1582C23—21no—
1583C23—22no—
1584C23—24no—
1585C23—24no—
1586C23—22no—
1587C23—22no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—24no—
1592C23—24no—
1593C23—24no—
1594C23—22no—
1595C23—24no—
1596C23—22no—
1597C23—416no—
1598C23—416no—
1599C23—416no—
1600C23—416no—
1601C23—88no—
1602C23—88no—
1603C23—88no—
1604C23C22×#4118yes—
1605C23C22×#4112yes—
1606C23C22×#4112yes—
1607C23C22×#4112yes—
1608C23#58512yes—
1609C23C2611yescharacteristic
1610Q8—28no—
1611Q8—48no—
1612Q8—84no—
1613D4—28no—
1614D4—216no—
1615D4—216no—
1616D4—48no—
1617D4—416no—
1618D4—416no—
1619D4—416no—
1620D4—416no—
1621D4—48no—
1622D4—44no—
1623D4—48no—
1624D4—48no—
1625D4—88no—
1626D4—84no—
1627D4—84no—
1628D4—88no—
1629D4—88no—
1630D4—88no—
1631D4—164no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—28no—
1653C2×C4—28no—
1654C2×C4—28no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
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—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—21no—
1709C2×C4—416no—
1710C2×C4—48no—
1711C2×C4—48no—
1712C2×C4—44no—
1713C2×C4—416no—
1714C2×C4—416no—
1715C2×C4—44no—
1716C2×C4—48no—
1717C2×C4—84no—
1718C2×C4—88no—
1719C2×C4—84no—
1720C2×C4—88no—
1721C2×C4—82no—
1722C2×C4—84no—
1723C2×C4—84no—
1724C2×C4—88no—
1725C2×C4—88no—
1726C2×C4—84no—
1727C2×C4—84no—
1728C2×C4—88no—
1729C2×C4C22×#4112yes—
1730C2×C4C22×#4112yes—
1731C2×C4C22×#4114yes—
1732C2×C4C22×#4112yes—
1733C2×C4C22×#4112yes—
1734C2×C4C22×#4114yes—
1735C2×C4C22×#4112yes—
1736C2×C4C22×#4112yes—
1737C2×C4C22×#4112yes—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4112yes—
1740C2×C4C22×#4112yes—
1741C2×C4C2×H(5,𝔽2)14yes—
1742C2×C4C2×H(5,𝔽2)14yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—28no—
1753C22—22no—
1754C22—22no—
1755C22—28no—
1756C22—28no—
1757C22—41no—
1758C22—44no—
1759C22—44no—
1760C22—41no—
1761C22—44no—
1762C22—41no—
1763C22—44no—
1764C22—41no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—44no—
1769C22—42no—
1770C22—44no—
1771C22—44no—
1772C22—42no—
1773C22—42no—
1774C22—44no—
1775C22—42no—
1776C22—44no—
1777C22—44no—
1778C22—42no—
1779C22—832no—
1780C22#348014yes—
1781C22C23×#4111yescharacteristic
1782C22C23×#4111yescharacteristic
1783C22C23×#4111yescharacteristic
1784C22C22×H(5,𝔽2)11yescharacteristic
1785C22C22×H(5,𝔽2)11yescharacteristic
1786C22C2×#58511yescharacteristic
1787C22H(7,𝔽2)11yescharacteristic
1788C4—22no—
1789C4—24no—
1790C4—22no—
1791C4—24no—
1792C4—24no—
1793C4—22no—
1794C4—22no—
1795C4—22no—
1796C4—22no—
1797C4—24no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—44no—
1802C4—42no—
1803C4—42no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4—41no—
1814C4—42no—
1815C4—44no—
1816C4#348114yes—
1817C4#348114yes—
1818C2—24no—
1819C2—42no—
1820C2—48no—
1821C2—82no—
1822C2—84no—
1823C2C2×#348011yescharacteristic
1824C2C2×#348111yescharacteristic
1825C2C2×#348111yescharacteristic
1826C2#6298611yescharacteristic
1827C2#6298611yescharacteristic
1828C2#6299011yescharacteristic
1829C2#6301211yescharacteristic
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. #59905C2semidirect
2. #59738C2semidirect
3. #59724C2semidirect
4. #59683C2semidirect
5. #59650C2semidirect
6. #59483C2semidirect
7. #59457C2semidirect
8. #59424C2semidirect
9. #59401C2semidirect
10. #59384C2semidirect
11. #59124C2semidirect
12. #59033C2semidirect
13. #36596C2semidirect
14. #36591C2semidirect
15. #36586C2semidirect
16. #36552C2semidirect
17. #36527C2semidirect
18. #36493C2semidirect
19. #36469C2semidirect
20. #36462C2semidirect
21. #36460C2semidirect
22. #36442C2semidirect
23. #36441C2semidirect
24. #36440C2semidirect
25. #36362C2semidirect
26. #36291C2semidirect
27. #36244C2semidirect
28. #36121C2semidirect
29. C4×#554C2semidirect
30. C4×#553C2semidirect
31. C4×#550C2semidirect
32. C4×#546C2semidirect
33. C4×#546C2semidirect
34. #34141C2semidirect
35. C2×#2366C2semidirect
36. C2×#559C22semidirect
39. C2×#553C22semidirect
45. C2×C4×#41C22semidirect
46. C2×C4×#41C22semidirect
49. #2861C22semidirect
50. #2860C22semidirect
54. #2856C22semidirect
55. #2854C22semidirect
56. #2852C22semidirect
59. #2850C22semidirect
61. #2786C22semidirect
62. #2780C22semidirect
63. #2778C22semidirect
64. #2753C22semidirect
65. #2740C22semidirect
66. #2711C22semidirect
67. #2696C22semidirect
68. #2688C22semidirect
70. #2602C22semidirect
71. #2602C22semidirect
72. #2602C22semidirect
73. #2601C22semidirect
74. #2600C22semidirect
75. #2600C22semidirect
76. #2598C22semidirect
77. #2596C22semidirect
78. #2595C22semidirect
79. #2595C22semidirect
80. #2592C22semidirect
81. #2590C22semidirect
82. #2580C22semidirect
83. #2576C22semidirect
84. #2576C22semidirect
85. #2572C22semidirect
86. #2571C22semidirect
87. #2568C22semidirect
88. #2566C22semidirect
89. #2566C22semidirect
90. #2560C22semidirect
91. #2559C22semidirect
92. #2559C22semidirect
93. #2558C22semidirect
94. #2557C22semidirect
95. #2554C22semidirect
96. #2554C22semidirect
97. #2554C22semidirect
98. #2552C22semidirect
100. #2547C22semidirect
102. #2544C22semidirect
103. #2544C22semidirect
104. #2543C22semidirect
107. #2540C22semidirect
108. #2538C22semidirect
109. #2535C22semidirect
110. #2535C22semidirect
111. #2526C22semidirect
112. #2518C22semidirect
113. #2516C22semidirect
114. #2516C22semidirect
115. #2514C22semidirect
116. #2513C22semidirect
117. #2512C22semidirect
118. #2512C22semidirect
119. #2511C22semidirect
121. #2510C22semidirect
122. #2508C22semidirect
125. #2500C22semidirect
126. #2494C22semidirect
127. #2491C22semidirect
128. #2490C22semidirect
133. #2471C22semidirect
134. #2471C22semidirect
135. #2467C22semidirect
136. #2466C22semidirect
137. #2464C22semidirect
138. #2464C22semidirect
139. #2459C22semidirect
140. #2457C22semidirect
141. #2456C22semidirect
142. #2456C22semidirect
143. #2455C22semidirect
144. #2454C22semidirect
145. #2453C22semidirect
146. #2452C22semidirect
147. #2450C22semidirect
148. #2448C22semidirect
149. #2448C22semidirect
150. #2448C22semidirect
151. #2447C22semidirect
152. #2447C22semidirect
156. #2445C22semidirect
157. #2444C22semidirect
158. #2444C22semidirect
164. #2431C22semidirect
168. #2426C22semidirect
171. #2422C22semidirect
172. #2420C22semidirect
173. #2420C22semidirect
175. #2416C22semidirect
180. #2407C22semidirect
181. #2374C22semidirect
182. #2373C22semidirect
183. #2370C22semidirect
184. #2370C22semidirect
185. #2369C22semidirect
187. #2368C22semidirect
188. #2367C22semidirect
189. #2367C22semidirect
190. #2367C22semidirect
191. #2367C22semidirect
202. #2366C22semidirect
203. #2365C22semidirect
204. #2365C22semidirect
206. #2364C22semidirect
207. #2364C22semidirect
208. #2364C22semidirect
209. #2363C22semidirect
210. #2363C22semidirect
211. #2363C22semidirect
212. #2363C22semidirect
213. #2363C22semidirect
215. #2361C22semidirect
216. #2361C22semidirect
219. #2360C22semidirect
220. #2359C22semidirect
221. #2359C22semidirect
225. #2357C22semidirect
226. #2357C22semidirect
227. #2357C22semidirect
228. #2355C22semidirect
229. #2355C22semidirect
230. #2354C22semidirect
231. #2354C22semidirect
235. Q8×C4⋊C4C22semidirect
237. #2349C22semidirect
238. #2349C22semidirect
240. #2347C22semidirect
241. #2347C22semidirect
244. #2345C22semidirect
247. #2341C22semidirect
248. #2339C22semidirect
249. #2339C22semidirect
253. C4×C4⋊Q8C22semidirect
255. C4×#127C22semidirect
256. C4×#125C22semidirect
257. C4×#125C22semidirect
258. C4×#126C22semidirect
259. C4×#124C22semidirect
260. C4×#124C22semidirect
265. C4×C22⋊Q8C22semidirect
266. C4×C22⋊Q8C22semidirect
267. C4×#123C22semidirect
268. C4×#123C22semidirect
269. C4×#123C22semidirect
272. C4×#121C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
281. #2297C22semidirect
282. #2293C22semidirect
285. #2290C22semidirect
287. C42×Q8C22semidirect
291. C42×D4C22semidirect
292. C42×D4C22semidirect
293. C42×D4C22semidirect
294. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect
919. C22⋊Q8#41semidirect
985. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#599052
#597382
#597242
#596832
#596502
#594832
#594572
#594242
#594012
#593842
#591242
#590332
#365962
#365912
#365862
#365522
#365272
#364932
#364692
#364622
#364602
#364422
#364412
#364402
#363622
#362912
#362442
#361212
C4×#5542
C4×#5532
C4×#5502
C4×#5462
#341412
C2×#23662