Finite Group Databasebeta

← #7699853

Subgroups — #7699853

Order 512.

5723 conjugacy classes of subgroups.

The subgroup lattice has 1721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59874C212yesmaximal, complemented
2#59720C212yesmaximal, complemented
3#59716C212yesmaximal, complemented
4#59707C214yesmaximal, complemented
5#59703C214yesmaximal, complemented
6#59679C211yesmaximal, characteristic, complemented
7#59437C211yesmaximal, characteristic, complemented
8#59429C211yesmaximal, characteristic, complemented
9#59424C212yesmaximal, complemented
10#59247C212yesmaximal, complemented
11#59238C214yesmaximal, complemented
12#59148C212yesmaximal, complemented
13#36609C211yesmaximal, characteristic, complemented
14#36605C212yesmaximal, complemented
15#36531C214yesmaximal, complemented
16#36503C212yesmaximal, complemented
17#36300C211yesmaximal, characteristic, complemented
18#36289C211yesmaximal, characteristic
19#36276C211yesmaximal, characteristic, complemented
20#36271C211yesmaximal, characteristic, complemented
21#36255C212yesmaximal, complemented
22#36240C212yesmaximal, complemented
23#36240C212yesmaximal, complemented
24#36233C212yesmaximal, complemented
25#36215C212yesmaximal, complemented
26#36175C211yesmaximal, characteristic, complemented
27#36161C212yesmaximal, complemented
28D4×#124C211yesmaximal, characteristic
29C4×#554C211yesmaximal, characteristic, complemented
30C4×#554C211yesmaximal, characteristic, complemented
31C4×#556C211yesmaximal, characteristic, complemented
32C4×D4×Q8C211yesmaximal, characteristic, complemented
33C4×D42C211yesmaximal, characteristic
34C2×#2367C212yesmaximal, complemented
35#34126C212yesmaximal, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yescomplemented
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×D42C2211yescharacteristic
42C22×#124C2212yes—
43C22×C4×Q8C2212yescomplemented
44C22×C4×D4C2212yes—
45C22×C4×D4C2212yes—
46#2862C2211yescharacteristic, complemented
47#2860C2212yescomplemented
48#2860C2212yescomplemented
49#2858C2211yescharacteristic
50#2858C2211yescharacteristic
51#2857C2212yescomplemented
52#2852C2214yescomplemented
53#2852C2214yescomplemented
54#2851C2212yescomplemented
55#2850C2212yes—
56#2850C2212yes—
57#2848C2214yescomplemented
58#2800C2214yescomplemented
59#2798C2214yescomplemented
60#2788C2214yescomplemented
61#2787C2214yescomplemented
62#2786C2214yescomplemented
63#2759C2214yescomplemented
64#2740C2214yescomplemented
65#2715C2214yescomplemented
66#2700C2214yescomplemented
67#2604C2214yescomplemented
68#2601C2214yescomplemented
69#2601C2214yescomplemented
70#2599C2214yescomplemented
71#2594C2214yescomplemented
72#2594C2214yescomplemented
73#2592C2212yescomplemented
74#2592C2212yescomplemented
75#2592C2212yescomplemented
76#2581C2212yescomplemented
77#2580C2212yescomplemented
78#2579C2214yescomplemented
79#2577C2214yescomplemented
80#2577C2214yescomplemented
81#2573C2214yescomplemented
82#2570C2212yescomplemented
83#2567C2211yescharacteristic, complemented
84#2566C2212yescomplemented
85#2564C2214yescomplemented
86#2563C2211yescharacteristic
87#2560C2214yescomplemented
88#2560C2214yescomplemented
89#2550C2212yescomplemented
90#2550C2212yescomplemented
91#2549C2214yescomplemented
92#2549C2214yescomplemented
93#2548C2211yescharacteristic
94#2548C2211yescharacteristic
95#2547C2211yescharacteristic
96#2547C2212yes—
97#2546C2211yescharacteristic, complemented
98#2545C2212yescomplemented
99#2545C2212yescomplemented
100#2538C2212yes—
101#2532C2214yescomplemented
102#2527C2214yescomplemented
103#2527C2214yescomplemented
104#2525C2214yescomplemented
105#2523C2214yescomplemented
106#2523C2214yescomplemented
107#2521C2214yescomplemented
108#2521C2214yescomplemented
109#2514C2212yescomplemented
110#2514C2212yescomplemented
111#2513C2212yescomplemented
112#2513C2212yescomplemented
113#2513C2212yescomplemented
114#2513C2212yescomplemented
115#2512C2212yescomplemented
116#2512C2212yescomplemented
117#2512C2212yescomplemented
118#2512C2212yescomplemented
119#2510C2214yescomplemented
120#2510C2214yescomplemented
121#2510C2214yescomplemented
122#2510C2214yescomplemented
123#2504C2212yes—
124#2502C2212yescomplemented
125#2497C2212yescomplemented
126#2497C2212yescomplemented
127#2495C2212yescomplemented
128#2495C2212yescomplemented
129#2494C2212yescomplemented
130#2494C2212yescomplemented
131#2491C2212yes—
132#2491C2212yes—
133#2490C2212yes—
134#2490C2212yes—
135#2485C2214yescomplemented
136#2481C2214yescomplemented
137#2481C2214yescomplemented
138#2480C2214yescomplemented
139#2480C2214yescomplemented
140#2480C2214yescomplemented
141#2480C2214yescomplemented
142#2480C2214yescomplemented
143#2480C2214yescomplemented
144#2478C2214yescomplemented
145#2474C2214yescomplemented
146#2474C2214yescomplemented
147#2472C2214yes—
148#2472C2214yes—
149#2472C2214yes—
150#2472C2214yes—
151#2469C2214yescomplemented
152#2466C2214yescomplemented
153#2466C2214yescomplemented
154#2466C2214yescomplemented
155#2465C2214yescomplemented
156#2465C2214yescomplemented
157#2454C2212yescomplemented
158#2452C2212yescomplemented
159#2450C2214yescomplemented
160#2449C2214yescomplemented
161#2448C2212yescomplemented
162#2448C2212yescomplemented
163#2448C2212yescomplemented
164#2447C2212yes—
165#2447C2212yescomplemented
166#2447C2212yescomplemented
167#2447C2212yescomplemented
168#2446C2212yescomplemented
169#2442C2212yescomplemented
170#2440C2212yescomplemented
171#2437C2214yescomplemented
172#2437C2214yescomplemented
173#2436C2212yes—
174#2435C2212yes—
175#2435C2212yes—
176#2434C2212yescomplemented
177#2415C2214yescomplemented
178#2373C2212yescomplemented
179#2373C2212yescomplemented
180#2373C2214yescomplemented
181#2370C2212yescomplemented
182#2370C2211yescharacteristic, complemented
183#2370C2211yescharacteristic, complemented
184#2369C2211yescharacteristic, complemented
185#2369C2211yescharacteristic, complemented
186#2368C2214yescomplemented
187#2368C2212yescomplemented
188#2368C2212yescomplemented
189#2367C2212yes—
190#2367C2212yes—
191#2367C2211yescharacteristic
192#2367C2212yes—
193#2367C2211yescharacteristic
194#2367C2212yescomplemented
195#2367C2212yescomplemented
196#2367C2212yescomplemented
197#2367C2214yescomplemented
198#2367C2214yescomplemented
199#2367C2214yescomplemented
200#2367C2212yescomplemented
201#2367C2214yescomplemented
202#2367C2212yescomplemented
203#2366C2211yescharacteristic
204#2365C2212yescomplemented
205#2365C2211yescharacteristic, complemented
206#2365C2211yescharacteristic, complemented
207#2362C2212yescomplemented
208#2361C2212yes—
209#2361C2212yes—
210#2360C2212yescomplemented
211#2360C2214yescomplemented
212#2360C2212yescomplemented
213#2360C2212yescomplemented
214#2358C2214yes—
215#2357C2212yescomplemented
216#2357C2212yescomplemented
217#2356C2212yescomplemented
218#2356C2211yescharacteristic, complemented
219#2356C2211yescharacteristic, complemented
220#2355C2211yescharacteristic, complemented
221#2355C2211yescharacteristic, complemented
222#2355C2211yescharacteristic, complemented
223#2354C2211yescharacteristic
224#2354C2212yescomplemented
225#2353C2214yescomplemented
226#2353C2214yescomplemented
227Q8×C4⋊C4C2211yescharacteristic, complemented
228#2349C2211yescharacteristic
229#2349C2212yes—
230#2349C2212yes—
231#2349C2211yescharacteristic
232#2349C2212yes—
233D4×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237#2347C2212yescomplemented
238#2345C2212yescomplemented
239#2345C2212yescomplemented
240#2345C2212yescomplemented
241#2345C2212yescomplemented
242#2342C2214yescomplemented
243#2342C2214yescomplemented
244Q8×C22⋊C4C2212yescomplemented
245D4×C22⋊C4C2212yes—
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2212yes—
248D4×C22⋊C4C2212yes—
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251C4×C4⋊Q8C2211yescharacteristic, complemented
252C4×C4⋊Q8C2211yescharacteristic, complemented
253C4×C4⋊Q8C2211yescharacteristic, complemented
254C4×C4⋊Q8C2211yescharacteristic, complemented
255C4×C4⋊Q8C2212yescomplemented
256C4×#127C2211yescharacteristic
257C4×#125C2211yescharacteristic, complemented
258C4×#125C2211yescharacteristic, complemented
259C4×#125C2212yescomplemented
260C4×#126C2212yescomplemented
261C4×#126C2212yescomplemented
262C4×#124C2211yescharacteristic
263C4×#124C2211yescharacteristic
264C4×C22⋊Q8C2212yescomplemented
265C4×C22⋊Q8C2212yescomplemented
266C4×C22⋊Q8C2212yescomplemented
267C4×C22⋊Q8C2212yescomplemented
268C4×C22⋊Q8C2214yescomplemented
269C4×C22⋊Q8C2214yescomplemented
270C4×C22⋊Q8C2212yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#120C2214yes—
275C2×#391C2212yescomplemented
276#2293C2212yescomplemented
277#2293C2212yescomplemented
278C2×#390C2212yes—
279#2290C2214yescomplemented
280#2290C2214yescomplemented
281C2×#388C2214yescomplemented
282C2×#388C2214yescomplemented
283C2×#385C2214yescomplemented
284#2283C2212yescomplemented
285#2280C2214yescomplemented
286C42×Q8C2211yescharacteristic, complemented
287C42×Q8C2211yescharacteristic, complemented
288C42×Q8C2211yescharacteristic, complemented
289C42×D4C2211yescharacteristic
290C42×D4C2212yes—
291C42×D4C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2212yescomplemented
296C2×C4×C4⋊C4C2212yescomplemented
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2214yescomplemented
299C23×Q8C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302C24×C4C2314yes—
303#556—28no—
304#556—48no—
305#554—28no—
306#554—28no—
307D4×Q8—28no—
308D42—28no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#124—216no—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#120C2314yes—
350C2×C4×Q8—48no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4—216no—
368C2×C4×D4—48no—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2314yes—
401C22×C4⋊C4C2312yes—
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C42C2312yes—
409C22×C42C2312yes—
410C22×C42C2312yes—
411C22×C42C2314yes—
412C22×C42C2312yes—
413C22×C42C2314yes—
414#401C2314yes—
415#401C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#390C2312yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#383C2312yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#379C2314yes—
713#379C2314yes—
714#379C2314yes—
715#379C2314yes—
716#379C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C25C2414yes—
821C22×Q8—28no—
822C22×Q8—28no—
823C22×Q8—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4—28no—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—28no—
836C22×D4—44no—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C23×C4—216no—
845C23×C4—48no—
846C23×C4—84no—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C4⋊Q8—24no—
864C4⋊Q8—28no—
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—44no—
869#127—24no—
870#126—28no—
871#126—28no—
872#126—48no—
873#126—48no—
874#126—48no—
875#126—84no—
876#125—24no—
877#125—28no—
878#125—24no—
879#124—28no—
880#124—28no—
881#124—24no—
882#124—216no—
883#124—216no—
884#124—28no—
885#124—44no—
886#124—44no—
887#124—44no—
888#124—82no—
889#124#4118yes—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—216no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—216no—
897C22⋊Q8—28no—
898C22⋊Q8—48no—
899C22⋊Q8—84no—
900#121—28no—
901#121—28no—
902#120—216no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—28no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—44no—
913C4×Q8—48no—
914C4×Q8—48no—
915C4×Q8—42no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—82no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—216no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—216no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—82no—
940C4×D4#4118yes—
941C4×D4#4118yes—
942#117—28no—
943#117—48no—
944#117—44no—
945#117—84no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—28no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—28no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—48no—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C22⋊C4—216no—
1019C2×C22⋊C4—216no—
1020C2×C22⋊C4—216no—
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—84no—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1073C2×C42—28no—
1074C2×C42—28no—
1075C2×C42—44no—
1076C2×C42—48no—
1077C2×C42—44no—
1078C2×C42—84no—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2414yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24—28no—
1197C24—28no—
1198C24—28no—
1199C24—28no—
1200C24—44no—
1201C24—44no—
1202C24—44no—
1203C24C2514yes—
1204C24C2512yes—
1205C24C2512yes—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—28no—
1212C2×Q8—24no—
1213C2×Q8—28no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—22no—
1220C2×Q8—44no—
1221C2×Q8—41no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—432no—
1227C2×Q8C2×#4114yes—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—432no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—432no—
1247C2×D4C2×#4114yes—
1248C2×D4C2×#4114yes—
1249C2×D4C2×#4114yes—
1250C2×D42−1+414yes—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—28no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—28no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—832no—
1298C22×C4C2×#4118yes—
1299C22×C4C2×#4118yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—22no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—41no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4C2×#4114yes—
1396C4⋊C4C2×#4114yes—
1397C4⋊C4H(5,𝔽2)14yes—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4C2×#4118yes—
1444C22⋊C4C2×#4118yes—
1445C22⋊C4C2×#4118yes—
1446C22⋊C4C2×#4118yes—
1447C42—24no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—28no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—44no—
1478C42—44no—
1479C42—42no—
1480C42—42no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—42no—
1485C42—42no—
1486C42—41no—
1487C42—41no—
1488C42—41no—
1489C42—41no—
1490C42—41no—
1491C42C2×#4114yes—
1492C42C2×#4114yes—
1493C42C2×#4114yes—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—24no—
1506C23—24no—
1507C23—24no—
1508C23—24no—
1509C23—24no—
1510C23—24no—
1511C23—416no—
1512C23—416no—
1513C23—416no—
1514C23—416no—
1515C23—88no—
1516C23—88no—
1517C23—88no—
1518C23C22×#4114yes—
1519C23C22×#4114yes—
1520C23C22×#4114yes—
1521C23C2×2−1+414yes—
1522C23C2611yescharacteristic
1523Q8—28no—
1524Q8—44no—
1525Q8—416no—
1526Q8—44no—
1527Q8—48no—
1528Q8—84no—
1529Q8—84no—
1530D4—28no—
1531D4—416no—
1532D4—416no—
1533D4—48no—
1534D4—48no—
1535D4—84no—
1536D4#556116yescomplemented
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—216no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—48no—
1619C2×C4—416no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—416no—
1626C2×C4—416no—
1627C2×C4—48no—
1628C2×C4—88no—
1629C2×C4—88no—
1630C2×C4—84no—
1631C2×C4—88no—
1632C2×C4—84no—
1633C2×C4C22×#4112yes—
1634C2×C4C22×#4112yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4114yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4114yes—
1640C2×C4C22×#4114yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C22×#4112yes—
1645C2×C4C2×H(5,𝔽2)14yes—
1646C2×C4C2×H(5,𝔽2)12yes—
1647C2×C4C2×2−1+412yes—
1648C2×C4#58512yes—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—24no—
1655C22—24no—
1656C22—24no—
1657C22—24no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—44no—
1663C22—44no—
1664C22—44no—
1665C22—44no—
1666C22—44no—
1667C22—44no—
1668C22—44no—
1669C22—832no—
1670C22C2×#55618yes—
1671C22C23×#4111yescharacteristic
1672C22C23×#4111yescharacteristic
1673C22C23×#4111yescharacteristic
1674C22C22×H(5,𝔽2)11yescharacteristic
1675C22C22×2−1+411yescharacteristic
1676C22C2×#58511yescharacteristic
1677C22H(7,𝔽2)11yescharacteristic
1678C4—24no—
1679C4—22no—
1680C4—24no—
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—24no—
1685C4—24no—
1686C4—22no—
1687C4—22no—
1688C4—44no—
1689C4—41no—
1690C4—42no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—44no—
1698C4—41no—
1699C4—42no—
1700C4—42no—
1701C4—41no—
1702C4—42no—
1703C4—44no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—41no—
1708C4C2×#55614yes—
1709C4#348114yes—
1710C2—28no—
1711C2—44no—
1712C2—84no—
1713C2C22×#55611yescharacteristic
1714C2C2×#348111yescharacteristic
1715C2#41211yescharacteristic
1716C2#6298311yescharacteristic
1717C2#6300011yescharacteristic
1718C2#6301011yescharacteristic
1719C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D42C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59874C2semidirect
2. #59720C2semidirect
3. #59716C2semidirect
4. #59707C2semidirect
5. #59703C2semidirect
6. #59679C2semidirect
7. #59437C2semidirect
8. #59429C2semidirect
9. #59424C2semidirect
10. #59247C2semidirect
11. #59238C2semidirect
12. #59148C2semidirect
13. #36609C2semidirect
14. #36605C2semidirect
15. #36531C2semidirect
16. #36503C2semidirect
17. #36300C2semidirect
19. #36276C2semidirect
20. #36271C2semidirect
21. #36255C2semidirect
22. #36240C2semidirect
23. #36240C2semidirect
24. #36233C2semidirect
25. #36215C2semidirect
26. #36175C2semidirect
27. #36161C2semidirect
29. C4×#554C2semidirect
30. C4×#554C2semidirect
31. C4×#556C2semidirect
32. C4×D4×Q8C2semidirect
34. C2×#2367C2semidirect
35. #34126C2semidirect
37. C2×#556C22semidirect
43. C22×C4×Q8C22semidirect
46. #2862C22semidirect
47. #2860C22semidirect
48. #2860C22semidirect
51. #2857C22semidirect
52. #2852C22semidirect
53. #2852C22semidirect
54. #2851C22semidirect
57. #2848C22semidirect
58. #2800C22semidirect
59. #2798C22semidirect
60. #2788C22semidirect
61. #2787C22semidirect
62. #2786C22semidirect
63. #2759C22semidirect
64. #2740C22semidirect
65. #2715C22semidirect
66. #2700C22semidirect
67. #2604C22semidirect
68. #2601C22semidirect
69. #2601C22semidirect
70. #2599C22semidirect
71. #2594C22semidirect
72. #2594C22semidirect
73. #2592C22semidirect
74. #2592C22semidirect
75. #2592C22semidirect
76. #2581C22semidirect
77. #2580C22semidirect
78. #2579C22semidirect
79. #2577C22semidirect
80. #2577C22semidirect
81. #2573C22semidirect
82. #2570C22semidirect
83. #2567C22semidirect
84. #2566C22semidirect
85. #2564C22semidirect
87. #2560C22semidirect
88. #2560C22semidirect
89. #2550C22semidirect
90. #2550C22semidirect
91. #2549C22semidirect
92. #2549C22semidirect
97. #2546C22semidirect
98. #2545C22semidirect
99. #2545C22semidirect
101. #2532C22semidirect
102. #2527C22semidirect
103. #2527C22semidirect
104. #2525C22semidirect
105. #2523C22semidirect
106. #2523C22semidirect
107. #2521C22semidirect
108. #2521C22semidirect
109. #2514C22semidirect
110. #2514C22semidirect
111. #2513C22semidirect
112. #2513C22semidirect
113. #2513C22semidirect
114. #2513C22semidirect
115. #2512C22semidirect
116. #2512C22semidirect
117. #2512C22semidirect
118. #2512C22semidirect
119. #2510C22semidirect
120. #2510C22semidirect
121. #2510C22semidirect
122. #2510C22semidirect
124. #2502C22semidirect
125. #2497C22semidirect
126. #2497C22semidirect
127. #2495C22semidirect
128. #2495C22semidirect
129. #2494C22semidirect
130. #2494C22semidirect
135. #2485C22semidirect
136. #2481C22semidirect
137. #2481C22semidirect
138. #2480C22semidirect
139. #2480C22semidirect
140. #2480C22semidirect
141. #2480C22semidirect
142. #2480C22semidirect
143. #2480C22semidirect
144. #2478C22semidirect
145. #2474C22semidirect
146. #2474C22semidirect
151. #2469C22semidirect
152. #2466C22semidirect
153. #2466C22semidirect
154. #2466C22semidirect
155. #2465C22semidirect
156. #2465C22semidirect
157. #2454C22semidirect
158. #2452C22semidirect
159. #2450C22semidirect
160. #2449C22semidirect
161. #2448C22semidirect
162. #2448C22semidirect
163. #2448C22semidirect
165. #2447C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2446C22semidirect
169. #2442C22semidirect
170. #2440C22semidirect
171. #2437C22semidirect
172. #2437C22semidirect
176. #2434C22semidirect
177. #2415C22semidirect
178. #2373C22semidirect
179. #2373C22semidirect
180. #2373C22semidirect
181. #2370C22semidirect
182. #2370C22semidirect
183. #2370C22semidirect
184. #2369C22semidirect
185. #2369C22semidirect
186. #2368C22semidirect
187. #2368C22semidirect
188. #2368C22semidirect
194. #2367C22semidirect
195. #2367C22semidirect
196. #2367C22semidirect
197. #2367C22semidirect
198. #2367C22semidirect
199. #2367C22semidirect
200. #2367C22semidirect
201. #2367C22semidirect
202. #2367C22semidirect
204. #2365C22semidirect
205. #2365C22semidirect
206. #2365C22semidirect
207. #2362C22semidirect
210. #2360C22semidirect
211. #2360C22semidirect
212. #2360C22semidirect
213. #2360C22semidirect
215. #2357C22semidirect
216. #2357C22semidirect
217. #2356C22semidirect
218. #2356C22semidirect
219. #2356C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
222. #2355C22semidirect
224. #2354C22semidirect
225. #2353C22semidirect
226. #2353C22semidirect
227. Q8×C4⋊C4C22semidirect
237. #2347C22semidirect
238. #2345C22semidirect
239. #2345C22semidirect
240. #2345C22semidirect
241. #2345C22semidirect
242. #2342C22semidirect
243. #2342C22semidirect
244. Q8×C22⋊C4C22semidirect
251. C4×C4⋊Q8C22semidirect
252. C4×C4⋊Q8C22semidirect
253. C4×C4⋊Q8C22semidirect
254. C4×C4⋊Q8C22semidirect
255. C4×C4⋊Q8C22semidirect
257. C4×#125C22semidirect
258. C4×#125C22semidirect
259. C4×#125C22semidirect
260. C4×#126C22semidirect
261. C4×#126C22semidirect
264. C4×C22⋊Q8C22semidirect
265. C4×C22⋊Q8C22semidirect
266. C4×C22⋊Q8C22semidirect
267. C4×C22⋊Q8C22semidirect
268. C4×C22⋊Q8C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
275. C2×#391C22semidirect
276. #2293C22semidirect
277. #2293C22semidirect
279. #2290C22semidirect
280. #2290C22semidirect
281. C2×#388C22semidirect
282. C2×#388C22semidirect
283. C2×#385C22semidirect
284. #2283C22semidirect
285. #2280C22semidirect
286. C42×Q8C22semidirect
287. C42×Q8C22semidirect
288. C42×Q8C22semidirect
295. C4×#117C22semidirect
296. C2×C4×C4⋊C4C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C22⋊C4C22semidirect
1536. D4#556semidirect

Maximal subgroups

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

subgroupindex
#598742
#597202
#597162
#597072
#597032
#596792
#594372
#594292
#594242
#592472
#592382
#591482
#366092
#366052
#365312
#365032
#363002
#362892
#362762
#362712
#362552
#362402
#362332
#362152
#361752
#361612
D4×#1242
C4×#5542
C4×#5562
C4×D4×Q82
C4×D422
C2×#23672
#341262