Finite Group Databasebeta

← #7670292

Subgroups — #7670292

Order 512.

7016 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59862C212yesmaximal, complemented
2#59861C212yesmaximal, complemented
3#59848C214yesmaximal, complemented
4#59819C212yesmaximal, complemented
5#59807C212yesmaximal, complemented
6#59272C212yesmaximal, complemented
7#59094C212yesmaximal, complemented
8#39548C212yesmaximal, complemented
9#39540C212yesmaximal, complemented
10#39511C211yesmaximal, characteristic, complemented
11#39503C211yesmaximal, characteristic, complemented
12#39495C211yesmaximal, characteristic, complemented
13#39486C211yesmaximal, characteristic, complemented
14#38466C212yesmaximal, complemented
15#38464C212yesmaximal, complemented
16#38460C214yesmaximal, complemented
17#36625C211yesmaximal, characteristic, complemented
18#36386C212yesmaximal, complemented
19#36360C212yesmaximal, complemented
20#36293C212yesmaximal, complemented
21#36262C212yesmaximal, complemented
22#36163C212yesmaximal, complemented
23#36158C214yesmaximal, complemented
24#36152C212yesmaximal, complemented
25#35378C214yesmaximal, complemented
26#35050C212yesmaximal, complemented
27#35025C212yesmaximal, complemented
28#34320C212yesmaximal, complemented
29#34176C212yesmaximal, complemented
30C4×#525C211yesmaximal, characteristic, complemented
31C22×#390C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C2×#552C2212yescomplemented
34C2×#551C2214yescomplemented
35C2×#546C2212yes—
36C2×#546C2212yes—
37C2×#546C2212yes—
38C2×#533C2211yescharacteristic, complemented
39C2×#525C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic, complemented
41C23×C4⋊C4C2211yescharacteristic
42C23×C22⋊C4C2212yes—
43C23×C22⋊C4C2212yes—
44C23×C42C2211yescharacteristic
45#2861C2212yescomplemented
46#2860C2212yescomplemented
47#2857C2211yescharacteristic, complemented
48#2857C2211yescharacteristic, complemented
49#2857C2211yescharacteristic, complemented
50#2857C2211yescharacteristic, complemented
51#2855C2212yescomplemented
52#2855C2212yescomplemented
53#2854C2212yescomplemented
54#2851C2212yescomplemented
55#2851C2212yescomplemented
56#2850C2212yescomplemented
57#2849C2214yes—
58#2848C2212yes—
59#2848C2212yes—
60#2846C2214yes—
61#2808C2212yescomplemented
62#2808C2212yescomplemented
63#2804C2212yescomplemented
64#2803C2214yescomplemented
65#2800C2214yescomplemented
66#2796C2214yescomplemented
67#2780C2214yescomplemented
68#2761C2214yescomplemented
69#2753C2214yescomplemented
70#2751C2214yescomplemented
71#2733C2212yescomplemented
72#2732C2212yescomplemented
73#2727C2212yescomplemented
74#2724C2212yescomplemented
75#2714C2214yescomplemented
76#2711C2214yescomplemented
77#2707C2214yescomplemented
78#2701C2214yescomplemented
79#2694C2214yescomplemented
80#2682C2212yescomplemented
81#2651C2214yescomplemented
82#2648C2214yescomplemented
83#2626C2212yescomplemented
84#2626C2212yescomplemented
85#2617C2212yescomplemented
86#2617C2212yescomplemented
87#2602C2214yescomplemented
88#2601C2214yescomplemented
89#2597C2214yescomplemented
90#2597C2214yescomplemented
91#2595C2214yescomplemented
92#2593C2214yescomplemented
93#2592C2212yescomplemented
94#2580C2212yescomplemented
95#2566C2212yescomplemented
96#2561C2214yescomplemented
97#2561C2214yescomplemented
98#2560C2214yescomplemented
99#2559C2214yescomplemented
100#2559C2214yescomplemented
101#2558C2214yescomplemented
102#2558C2214yescomplemented
103#2557C2214yescomplemented
104#2554C2214yescomplemented
105#2554C2214yescomplemented
106#2554C2214yescomplemented
107#2545C2212yescomplemented
108#2539C2214yescomplemented
109#2534C2214yescomplemented
110#2534C2214yescomplemented
111#2534C2214yescomplemented
112#2531C2214yescomplemented
113#2526C2214yescomplemented
114#2516C2214yescomplemented
115#2513C2212yescomplemented
116#2513C2212yescomplemented
117#2512C2212yescomplemented
118#2503C2212yescomplemented
119#2500C2212yescomplemented
120#2491C2212yescomplemented
121#2490C2212yescomplemented
122#2490C2214yescomplemented
123#2486C2212yescomplemented
124#2484C2214yescomplemented
125#2483C2214yescomplemented
126#2482C2214yescomplemented
127#2482C2214yescomplemented
128#2481C2214yescomplemented
129#2481C2214yescomplemented
130#2480C2214yescomplemented
131#2480C2214yescomplemented
132#2480C2214yescomplemented
133#2480C2214yescomplemented
134#2479C2214yescomplemented
135#2476C2214yescomplemented
136#2473C2214yescomplemented
137#2473C2214yescomplemented
138#2472C2214yescomplemented
139#2472C2214yescomplemented
140#2471C2214yescomplemented
141#2458C2214yescomplemented
142#2458C2214yescomplemented
143#2456C2214yescomplemented
144#2454C2212yescomplemented
145#2452C2212yescomplemented
146#2448C2212yescomplemented
147#2448C2212yescomplemented
148#2447C2212yescomplemented
149#2442C2212yescomplemented
150#2442C2212yescomplemented
151#2437C2214yescomplemented
152#2437C2214yescomplemented
153#2435C2212yes—
154#2435C2212yes—
155#2435C2212yes—
156#2432C2212yescomplemented
157#2426C2212yescomplemented
158#2426C2214yescomplemented
159#2422C2212yescomplemented
160#2418C2214yescomplemented
161#2418C2214yescomplemented
162#2417C2212yescomplemented
163#2417C2212yescomplemented
164#2414C2212yescomplemented
165#2413C2214yescomplemented
166#2412C2214yescomplemented
167#2412C2214yescomplemented
168#2412C2214yescomplemented
169#2411C2214yescomplemented
170#2411C2214yescomplemented
171#2411C2214yescomplemented
172#2410C2214yes—
173#2410C2214yes—
174#2410C2214yes—
175#2408C2212yes—
176#2408C2212yes—
177#2408C2212yes—
178#2407C2212yescomplemented
179#2405C2214yes—
180#2405C2214yes—
181#2405C2214yes—
182#2404C2214yescomplemented
183#2374C2214yescomplemented
184#2367C2212yescomplemented
185#2363C2212yescomplemented
186#2363C2214yescomplemented
187#2360C2212yescomplemented
188#2360C2212yescomplemented
189#2358C2214yescomplemented
190#2358C2214yescomplemented
191#2357C2212yescomplemented
192#2352C2212yescomplemented
193#2352C2212yescomplemented
194#2344C2212yescomplemented
195#2342C2214yescomplemented
196#2342C2214yescomplemented
197#2342C2214yescomplemented
198#2342C2214yescomplemented
199#2342C2214yescomplemented
200#2342C2214yescomplemented
201#2342C2214yescomplemented
202#2342C2214yescomplemented
203#2342C2214yescomplemented
204#2342C2214yescomplemented
205#2342C2214yescomplemented
206#2341C2212yescomplemented
207D4×C22⋊C4C2212yes—
208D4×C22⋊C4C2212yes—
209D4×C22⋊C4C2212yes—
210#2335C2214yescomplemented
211#2333C2214yescomplemented
212#2321C2214yescomplemented
213#2321C2214yescomplemented
214#2315C2212yescomplemented
215#2315C2212yescomplemented
216#2312C2214yescomplemented
217#2312C2212yescomplemented
218#2312C2212yescomplemented
219C4×#124C2212yescomplemented
220C4×C22⋊Q8C2212yescomplemented
221C4×C22⋊Q8C2212yescomplemented
222C4×C22⋊Q8C2212yescomplemented
223C4×C22⋊Q8C2212yescomplemented
224C4×C22⋊Q8C2211yescharacteristic, complemented
225C4×C22⋊Q8C2211yescharacteristic, complemented
226C4×C22⋊Q8C2211yescharacteristic, complemented
227C4×C22⋊Q8C2211yescharacteristic, complemented
228C4×#123C2212yescomplemented
229C4×#123C2212yescomplemented
230C4×#121C2211yescharacteristic, complemented
231C4×#121C2211yescharacteristic, complemented
232C4×#121C2211yescharacteristic, complemented
233C4×#121C2211yescharacteristic, complemented
234C4×#121C2212yescomplemented
235C4×#120C2212yes—
236C4×#120C2212yes—
237#2297C2211yescharacteristic, complemented
238#2297C2212yescomplemented
239#2296C2212yescomplemented
240#2296C2211yescharacteristic, complemented
241#2293C2212yescomplemented
242C2×#390C2212yes—
243C2×#390C2211yescharacteristic
244C2×#390C2212yes—
245C2×#390C2212yes—
246C2×#390C2212yes—
247C2×#390C2211yescharacteristic
248C2×#390C2212yes—
249C2×#390C2211yescharacteristic
250C2×#390C2212yes—
251C2×#390C2212yes—
252C2×#390C2212yes—
253C2×#390C2212yes—
254C2×#390C2212yes—
255C2×#390C2211yescharacteristic
256#2290C2212yescomplemented
257#2290C2212yescomplemented
258#2285C2211yescharacteristic, complemented
259#2280C2212yes—
260#2280C2214yes—
261#2280C2211yescharacteristic
262C2×#379C2214yes—
263#2273C2214yescomplemented
264C42×D4C2212yescomplemented
265C42×D4C2212yescomplemented
266C4×#117C2211yescharacteristic, complemented
267C26C2312yes—
268C22×#41C2312yes—
269C22×#41C2311yescharacteristic
270C23×D4—28no—
271C23×D4—44no—
272C23×D4—44no—
273C23×D4C2312yes—
274C23×D4C2312yes—
275C23×D4C2312yes—
276C23×D4C2312yes—
277C23×D4C2312yes—
278C23×D4C2311yescharacteristic
279C23×D4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281C24×C4C2311yescharacteristic
282C24×C4C2312yes—
283C24×C4C2311yescharacteristic
284#552—48no—
285#551—416no—
286#546—216no—
287#546—48no—
288#546—48no—
289#533—44no—
290C2×C4⋊Q8C2311yescharacteristic, complemented
291C2×C4⋊Q8C2311yescharacteristic, complemented
292C2×#126C2314yescomplemented
293C2×#126C2314yescomplemented
294C2×#126C2314yescomplemented
295C2×#125C2312yescomplemented
296C2×#125C2312yescomplemented
297C2×#125C2314yescomplemented
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2314yescomplemented
302#525—28no—
303C2×#123C2314yes—
304C2×#123C2312yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yescomplemented
310C2×#123C2314yescomplemented
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yescomplemented
320C2×C22⋊Q8C2312yescomplemented
321C2×#121C2314yes—
322C2×#121C2311yescharacteristic
323C2×#121C2312yes—
324C2×#121C2311yescharacteristic
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#120C2314yes—
330C2×#120C2312yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C4×#41—44no—
337C2×C4×Q8C2311yescharacteristic, complemented
338C2×C4×Q8C2312yescomplemented
339C2×C4×Q8C2312yescomplemented
340C2×C4×Q8C2311yescharacteristic, complemented
341C2×C4×Q8C2312yescomplemented
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yescomplemented
354C2×C4×D4C2311yescharacteristic, complemented
355C2×C4×D4C2311yescharacteristic, complemented
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2314yes—
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yescomplemented
364C2×#117C2312yescomplemented
365C2×#117C2312yescomplemented
366C22×C4⋊C4—44no—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C22⋊C4—216no—
375C22×C22⋊C4—48no—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2314yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C42—44no—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2312yescomplemented
412#400C2314yescomplemented
413#400C2314yescomplemented
414#400C2314yescomplemented
415#400C2314yescomplemented
416#399C2314yescomplemented
417#399C2314yescomplemented
418#399C2314yescomplemented
419#399C2314yescomplemented
420#398C2314yescomplemented
421#398C2314yescomplemented
422#398C2314yescomplemented
423#398C2314yescomplemented
424#398C2314yescomplemented
425#397C2314yescomplemented
426#397C2314yescomplemented
427#397C2314yescomplemented
428#397C2314yescomplemented
429#397C2314yescomplemented
430#397C2314yescomplemented
431#397C2314yescomplemented
432#397C2314yescomplemented
433#397C2314yescomplemented
434#397C2314yescomplemented
435#397C2314yescomplemented
436#397C2314yescomplemented
437#397C2314yescomplemented
438#396C2314yescomplemented
439#396C2314yescomplemented
440#396C2314yescomplemented
441#396C2314yescomplemented
442#396C2314yescomplemented
443#396C2314yescomplemented
444#396C2314yescomplemented
445#396C2314yescomplemented
446#396C2314yescomplemented
447#396C2314yescomplemented
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yescomplemented
458#394C2314yescomplemented
459#394C2314yescomplemented
460#394C2314yescomplemented
461#394C2314yescomplemented
462#394C2314yescomplemented
463#394C2314yescomplemented
464#394C2314yescomplemented
465#394C2314yescomplemented
466#394C2314yescomplemented
467#393C2314yescomplemented
468#393C2314yescomplemented
469#393C2314yescomplemented
470#393C2314yescomplemented
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yescomplemented
475#392C2314yescomplemented
476#391C2312yescomplemented
477#391C2312yescomplemented
478#391C2312yescomplemented
479#391C2312yescomplemented
480#391C2312yescomplemented
481#391C2312yescomplemented
482#391C2311yescharacteristic, complemented
483#391C2311yescharacteristic, complemented
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yescomplemented
515#390C2314yescomplemented
516#390C2314yescomplemented
517#390C2314yescomplemented
518#390C2314yescomplemented
519#390C2314yescomplemented
520#390C2311yescharacteristic, complemented
521#390C2311yescharacteristic, complemented
522#389C2312yescomplemented
523#389C2312yescomplemented
524#389C2314yescomplemented
525#389C2312yescomplemented
526#389C2312yescomplemented
527#389C2312yescomplemented
528#389C2312yescomplemented
529#389C2312yescomplemented
530#389C2312yescomplemented
531#389C2312yescomplemented
532#389C2312yescomplemented
533#389C2312yescomplemented
534#389C2312yescomplemented
535#389C2314yescomplemented
536#389C2311yescharacteristic, complemented
537#389C2311yescharacteristic, complemented
538#389C2311yescharacteristic, complemented
539#389C2311yescharacteristic, complemented
540#388C2314yescomplemented
541#388C2314yescomplemented
542#388C2314yescomplemented
543#388C2314yescomplemented
544#388C2314yescomplemented
545#388C2314yescomplemented
546#388C2314yescomplemented
547#388C2314yescomplemented
548#388C2314yescomplemented
549#388C2314yescomplemented
550#388C2314yescomplemented
551#388C2314yescomplemented
552#388C2314yescomplemented
553#388C2314yescomplemented
554#388C2314yescomplemented
555#388C2314yescomplemented
556#388C2314yescomplemented
557#388C2314yescomplemented
558#388C2314yescomplemented
559#388C2314yescomplemented
560#388C2314yescomplemented
561#388C2314yescomplemented
562#388C2314yescomplemented
563#388C2314yescomplemented
564#388C2314yescomplemented
565#388C2314yescomplemented
566#388C2314yescomplemented
567#388C2314yescomplemented
568#388C2314yescomplemented
569#388C2314yescomplemented
570#388C2314yescomplemented
571#388C2314yescomplemented
572#388C2314yescomplemented
573#388C2314yescomplemented
574#388C2314yescomplemented
575#388C2314yescomplemented
576#388C2314yescomplemented
577#388C2314yescomplemented
578#388C2314yescomplemented
579#388C2314yescomplemented
580#388C2314yescomplemented
581#388C2314yescomplemented
582#388C2312yescomplemented
583#388C2312yescomplemented
584#388C2312yescomplemented
585#388C2312yescomplemented
586#387C2314yescomplemented
587#387C2314yescomplemented
588#387C2314yescomplemented
589#387C2314yescomplemented
590#387C2312yescomplemented
591#387C2314yescomplemented
592#387C2314yescomplemented
593#387C2314yescomplemented
594#387C2314yescomplemented
595#387C2312yescomplemented
596#387C2314yescomplemented
597#387C2314yescomplemented
598#387C2312yescomplemented
599#387C2312yescomplemented
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2312yes—
614#386C2312yes—
615#386C2312yes—
616#386C2314yescomplemented
617#386C2314yescomplemented
618#386C2314yescomplemented
619#386C2314yescomplemented
620#386C2314yescomplemented
621#386C2314yescomplemented
622#386C2314yescomplemented
623#386C2314yescomplemented
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2312yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2312yes—
639#385C2312yes—
640#385C2314yescomplemented
641#385C2314yescomplemented
642#385C2314yescomplemented
643#385C2314yescomplemented
644#385C2314yescomplemented
645#385C2314yescomplemented
646#385C2314yescomplemented
647#385C2314yescomplemented
648#385C2314yescomplemented
649#385C2314yescomplemented
650#385C2314yescomplemented
651#385C2314yescomplemented
652#384C2311yescharacteristic, complemented
653#384C2311yescharacteristic, complemented
654#382C2312yescomplemented
655#382C2312yescomplemented
656#382C2312yescomplemented
657#381C2314yes—
658#381C2314yes—
659#381C2314yes—
660#381C2312yes—
661#381C2314yes—
662#381C2314yes—
663#381C2314yescomplemented
664#381C2314yescomplemented
665#380C2311yescharacteristic
666#380C2311yescharacteristic
667#380C2312yes—
668#380C2312yes—
669#380C2314yes—
670#380C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2311yescharacteristic
680#380C2311yescharacteristic
681#380C2314yes—
682#380C2314yes—
683#380C2314yescomplemented
684#380C2312yescomplemented
685#380C2314yescomplemented
686#380C2312yescomplemented
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2312yes—
701C4×C4⋊C4C2312yescomplemented
702C4×C4⋊C4C2312yescomplemented
703C4×C4⋊C4C2312yescomplemented
704C4×C4⋊C4C2312yescomplemented
705C4×C4⋊C4C2312yescomplemented
706C4×C4⋊C4C2314yescomplemented
707C4×C4⋊C4C2314yescomplemented
708C4×C4⋊C4C2311yescharacteristic, complemented
709C4×C4⋊C4C2312yescomplemented
710C4×C4⋊C4C2312yescomplemented
711C4×C4⋊C4C2312yescomplemented
712C4×C4⋊C4C2312yescomplemented
713C4×C4⋊C4C2312yescomplemented
714C4×C4⋊C4C2311yescharacteristic, complemented
715C4×C4⋊C4C2311yescharacteristic, complemented
716C4×C4⋊C4C2311yescharacteristic, complemented
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2314yescomplemented
732C4×C22⋊C4C2312yescomplemented
733C4×C22⋊C4C2314yescomplemented
734C4×C22⋊C4C2314yescomplemented
735C4×C22⋊C4C2314yescomplemented
736C4×C22⋊C4C2314yescomplemented
737C4×C22⋊C4C2314yescomplemented
738C4×C22⋊C4C2312yescomplemented
739C4×C22⋊C4C2314yescomplemented
740C4×C22⋊C4C2314yescomplemented
741C4×C22⋊C4C2314yescomplemented
742C4×C22⋊C4C2314yescomplemented
743C4×C22⋊C4C2312yescomplemented
744C4×C22⋊C4C2312yescomplemented
745C4×C22⋊C4C2312yescomplemented
746C4×C22⋊C4C2312yescomplemented
747#376C2312yescomplemented
748C43C2312yescomplemented
749C25—28no—
750C25—28no—
751C25—44no—
752C25—44no—
753C25—44no—
754C25—44no—
755C25—44no—
756C25C2411yescharacteristic
757C25C2414yes—
758C25C2414yes—
759C25C2412yes—
760C25C2412yes—
761C2×#41—28no—
762C2×#41—24no—
763C2×#41—42no—
764C2×#41—42no—
765C2×#41—44no—
766C2×#41—44no—
767C22×Q8C2412yes—
768C22×Q8C2411yescharacteristic
769C22×Q8C2412yes—
770C22×D4—28no—
771C22×D4—28no—
772C22×D4—28no—
773C22×D4—28no—
774C22×D4—28no—
775C22×D4—24no—
776C22×D4—28no—
777C22×D4—28no—
778C22×D4—42no—
779C22×D4—44no—
780C22×D4—44no—
781C22×D4—44no—
782C22×D4—42no—
783C22×D4—42no—
784C22×D4—44no—
785C22×D4—44no—
786C22×D4—44no—
787C22×D4—42no—
788C22×D4—44no—
789C22×D4—44no—
790C22×D4—464no—
791C22×D4#4118yescomplemented
792C22×D4C2412yes—
793C22×D4C2412yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2412yes—
799C22×D4C2411yescharacteristic
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2412yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C23×C4—24no—
807C23×C4—24no—
808C23×C4—24no—
809C23×C4—28no—
810C23×C4—24no—
811C23×C4—42no—
812C23×C4—42no—
813C23×C4—42no—
814C23×C4—42no—
815C23×C4—44no—
816C23×C4—44no—
817C23×C4#4118yescomplemented
818C23×C4C2414yes—
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C4⋊Q8—42no—
848C4⋊Q8—42no—
849#126—48no—
850#126—48no—
851#126—48no—
852#125—44no—
853#125—44no—
854#125—48no—
855#124—28no—
856#124—44no—
857#124—44no—
858#124—48no—
859#123—216no—
860#123—28no—
861#123—48no—
862#123—48no—
863#123—48no—
864#123—48no—
865#123—48no—
866#123—48no—
867C22⋊Q8—24no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—48no—
876C22⋊Q8—44no—
877#121—28no—
878#121—216no—
879#121—24no—
880#121—24no—
881#121—48no—
882#121—48no—
883#121—44no—
884#121—44no—
885#120—28no—
886#120—216no—
887#120—48no—
888#120—48no—
889#120—48no—
890#120—48no—
891#120—48no—
892C4×Q8—42no—
893C4×Q8—42no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—48no—
909C4×D4—44no—
910C4×D4—44no—
911#117—24no—
912#117—44no—
913#117—48no—
914#117—42no—
915#117—44no—
916#117—42no—
917#117—44no—
918#117—48no—
919#117—48no—
920#117—44no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—42no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C22⋊C4—216no—
973C2×C22⋊C4—216no—
974C2×C22⋊C4—216no—
975C2×C22⋊C4—216no—
976C2×C22⋊C4—216no—
977C2×C22⋊C4—28no—
978C2×C22⋊C4—28no—
979C2×C22⋊C4—28no—
980C2×C22⋊C4—28no—
981C2×C22⋊C4—216no—
982C2×C22⋊C4—44no—
983C2×C22⋊C4—48no—
984C2×C22⋊C4—44no—
985C2×C22⋊C4—48no—
986C2×C22⋊C4—44no—
987C2×C22⋊C4—44no—
988C2×C22⋊C4—48no—
989C2×C22⋊C4—48no—
990C2×C22⋊C4—48no—
991C2×C22⋊C4—48no—
992C2×C22⋊C4—48no—
993C2×C22⋊C4—48no—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
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×C42—24no—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42—42no—
1065C2×C42—42no—
1066C2×C42—42no—
1067C2×C42—42no—
1068C2×C42—42no—
1069C2×C42—42no—
1070C2×C42—42no—
1071C2×C42—42no—
1072C2×C42—42no—
1073C2×C42—42no—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147C24—22no—
1148C24—22no—
1149C24—22no—
1150C24—22no—
1151C24—22no—
1152C24—22no—
1153C24—24no—
1154C24—24no—
1155C24—28no—
1156C24—28no—
1157C24—24no—
1158C24—28no—
1159C24—28no—
1160C24—28no—
1161C24—28no—
1162C24—28no—
1163C24—28no—
1164C24—24no—
1165C24—24no—
1166C24—42no—
1167C24—44no—
1168C24—42no—
1169C24—42no—
1170C24—42no—
1171C24—44no—
1172C24—44no—
1173C24—42no—
1174C24—42no—
1175C24—44no—
1176C24—44no—
1177C24—42no—
1178C24—44no—
1179C24—42no—
1180C24—432no—
1181C24—432no—
1182C24—432no—
1183C24—816no—
1184C24—816no—
1185C24—816no—
1186C24—816no—
1187C24C2×#4114yes—
1188C24C2×#4118yes—
1189C24C2514yes—
1190C24C2512yes—
1191C24C2514yes—
1192C24C2511yescharacteristic
1193C24C2511yescharacteristic
1194C24C2511yescharacteristic
1195#41—416no—
1196#41—816no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—41no—
1203C2×Q8—41no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—416no—
1229C2×D4—432no—
1230C2×D4—432no—
1231C2×D4—41no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—41no—
1239C2×D4—432no—
1240C2×D4—432no—
1241C2×D4—432no—
1242C2×D4—416no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4C2×#4118yes—
1254C2×D4C2×#4118yes—
1255C22×C4—232no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—28no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—28no—
1279C22×C4—22no—
1280C22×C4—28no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—28no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—42no—
1306C22×C4—416no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—42no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—416no—
1335C22×C4—816no—
1336C22×C4C2×#4114yes—
1337C22×C4C2×#4114yes—
1338C22×C4C2×#4114yes—
1339C22×C4C2×#4114yes—
1340C22×C4C2×#4114yes—
1341C22×C4C2×#4114yes—
1342C22×C4C2×#4114yes—
1343C22×C4H(5,𝔽2)14yes—
1344C22×C4H(5,𝔽2)14yes—
1345C22×C4H(5,𝔽2)14yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2514yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2514yes—
1358C22×C4C2514yes—
1359C22×C4C2514yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—28no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—28no—
1388C4⋊C4—28no—
1389C4⋊C4—24no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—41no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C42—24no—
1483C42—24no—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—41no—
1496C42—41no—
1497C42—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C42—41no—
1502C42—41no—
1503C42—42no—
1504C42—42no—
1505C42—44no—
1506C42—42no—
1507C42—44no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—44no—
1512C42—42no—
1513C23—28no—
1514C23—28no—
1515C23—28no—
1516C23—28no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—28no—
1530C23—28no—
1531C23—28no—
1532C23—24no—
1533C23—24no—
1534C23—24no—
1535C23—24no—
1536C23—24no—
1537C23—24no—
1538C23—216no—
1539C23—24no—
1540C23—22no—
1541C23—22no—
1542C23—24no—
1543C23—24no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—24no—
1548C23—24no—
1549C23—24no—
1550C23—24no—
1551C23—22no—
1552C23—22no—
1553C23—48no—
1554C23—48no—
1555C23—416no—
1556C23—416no—
1557C23—416no—
1558C23—416no—
1559C23—416no—
1560C23—416no—
1561C23—48no—
1562C23—48no—
1563C23—48no—
1564C23—416no—
1565C23—416no—
1566C23—84no—
1567C23—88no—
1568C23—84no—
1569C23—84no—
1570C23—88no—
1571C23—84no—
1572C23—88no—
1573C23—88no—
1574C23—84no—
1575C23—84no—
1576C23—88no—
1577C23—84no—
1578C23—88no—
1579C23—84no—
1580C23—8128no—
1581C23C22×#4118yes—
1582C23C22×#4112yes—
1583C23C22×#4112yes—
1584C23C22×#4112yes—
1585C23C22×#4112yes—
1586C23C2×H(5,𝔽2)12yes—
1587C23C2×H(5,𝔽2)12yes—
1588C23C2×H(5,𝔽2)12yes—
1589C23#58512yes—
1590C23#58512yes—
1591C23C2611yescharacteristic
1592Q8—44no—
1593Q8—48no—
1594Q8—84no—
1595D4—216no—
1596D4—48no—
1597D4—416no—
1598D4—416no—
1599D4—48no—
1600D4—44no—
1601D4—48no—
1602D4—48no—
1603D4—48no—
1604D4—48no—
1605D4—88no—
1606D4—88no—
1607D4—164no—
1608D4—164no—
1609C2×C4—28no—
1610C2×C4—28no—
1611C2×C4—28no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—28no—
1631C2×C4—28no—
1632C2×C4—28no—
1633C2×C4—28no—
1634C2×C4—28no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—48no—
1690C2×C4—44no—
1691C2×C4—416no—
1692C2×C4—48no—
1693C2×C4—84no—
1694C2×C4—88no—
1695C2×C4—84no—
1696C2×C4—88no—
1697C2×C4—84no—
1698C2×C4—88no—
1699C2×C4—164no—
1700C2×C4—164no—
1701C2×C4C22×#4112yes—
1702C2×C4C22×#4112yes—
1703C2×C4C22×#4112yes—
1704C2×C4C22×#4112yes—
1705C2×C4C22×#4112yes—
1706C2×C4C22×#4112yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4C2×H(5,𝔽2)12yes—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)12yes—
1711C2×C4C2×H(5,𝔽2)12yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C22—232no—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—28no—
1733C22—28no—
1734C22—28no—
1735C22—44no—
1736C22—44no—
1737C22—44no—
1738C22—44no—
1739C22—42no—
1740C22—44no—
1741C22—42no—
1742C22—44no—
1743C22—42no—
1744C22—44no—
1745C22—42no—
1746C22—44no—
1747C22—42no—
1748C22—44no—
1749C22—42no—
1750C22—44no—
1751C22—42no—
1752C22—44no—
1753C22—816no—
1754C22—832no—
1755C22—832no—
1756C22—816no—
1757C22#347514yes—
1758C22#350514yes—
1759C22#350814yes—
1760C22C23×#4111yescharacteristic
1761C22C23×#4111yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C4—22no—
1768C4—22no—
1769C4—22no—
1770C4—22no—
1771C4—22no—
1772C4—22no—
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—42no—
1777C4—44no—
1778C4—42no—
1779C4—42no—
1780C4—44no—
1781C4—44no—
1782C4—44no—
1783C4—42no—
1784C4—41no—
1785C4—41no—
1786C4—42no—
1787C4—44no—
1788C4—42no—
1789C4—44no—
1790C4—42no—
1791C4#349014yes—
1792C2—24no—
1793C2—24no—
1794C2—24no—
1795C2—48no—
1796C2—82no—
1797C2—84no—
1798C2C2×#347511yescharacteristic
1799C2C2×#349011yescharacteristic
1800C2C2×#350511yescharacteristic
1801C2#6277311yescharacteristic
1802C2C2×#350811yescharacteristic
1803C2#6281811yescharacteristic
1804C2#6282411yescharacteristic
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. #59862C2semidirect
2. #59861C2semidirect
3. #59848C2semidirect
4. #59819C2semidirect
5. #59807C2semidirect
6. #59272C2semidirect
7. #59094C2semidirect
8. #39548C2semidirect
9. #39540C2semidirect
10. #39511C2semidirect
11. #39503C2semidirect
12. #39495C2semidirect
13. #39486C2semidirect
14. #38466C2semidirect
15. #38464C2semidirect
16. #38460C2semidirect
17. #36625C2semidirect
18. #36386C2semidirect
19. #36360C2semidirect
20. #36293C2semidirect
21. #36262C2semidirect
22. #36163C2semidirect
23. #36158C2semidirect
24. #36152C2semidirect
25. #35378C2semidirect
26. #35050C2semidirect
27. #35025C2semidirect
28. #34320C2semidirect
29. #34176C2semidirect
30. C4×#525C2semidirect
31. C22×#390C2semidirect
33. C2×#552C22semidirect
34. C2×#551C22semidirect
38. C2×#533C22semidirect
40. C2×C4×#41C22semidirect
45. #2861C22semidirect
46. #2860C22semidirect
47. #2857C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2855C22semidirect
52. #2855C22semidirect
53. #2854C22semidirect
54. #2851C22semidirect
55. #2851C22semidirect
56. #2850C22semidirect
61. #2808C22semidirect
62. #2808C22semidirect
63. #2804C22semidirect
64. #2803C22semidirect
65. #2800C22semidirect
66. #2796C22semidirect
67. #2780C22semidirect
68. #2761C22semidirect
69. #2753C22semidirect
70. #2751C22semidirect
71. #2733C22semidirect
72. #2732C22semidirect
73. #2727C22semidirect
74. #2724C22semidirect
75. #2714C22semidirect
76. #2711C22semidirect
77. #2707C22semidirect
78. #2701C22semidirect
79. #2694C22semidirect
80. #2682C22semidirect
81. #2651C22semidirect
82. #2648C22semidirect
83. #2626C22semidirect
84. #2626C22semidirect
85. #2617C22semidirect
86. #2617C22semidirect
87. #2602C22semidirect
88. #2601C22semidirect
89. #2597C22semidirect
90. #2597C22semidirect
91. #2595C22semidirect
92. #2593C22semidirect
93. #2592C22semidirect
94. #2580C22semidirect
95. #2566C22semidirect
96. #2561C22semidirect
97. #2561C22semidirect
98. #2560C22semidirect
99. #2559C22semidirect
100. #2559C22semidirect
101. #2558C22semidirect
102. #2558C22semidirect
103. #2557C22semidirect
104. #2554C22semidirect
105. #2554C22semidirect
106. #2554C22semidirect
107. #2545C22semidirect
108. #2539C22semidirect
109. #2534C22semidirect
110. #2534C22semidirect
111. #2534C22semidirect
112. #2531C22semidirect
113. #2526C22semidirect
114. #2516C22semidirect
115. #2513C22semidirect
116. #2513C22semidirect
117. #2512C22semidirect
118. #2503C22semidirect
119. #2500C22semidirect
120. #2491C22semidirect
121. #2490C22semidirect
122. #2490C22semidirect
123. #2486C22semidirect
124. #2484C22semidirect
125. #2483C22semidirect
126. #2482C22semidirect
127. #2482C22semidirect
128. #2481C22semidirect
129. #2481C22semidirect
130. #2480C22semidirect
131. #2480C22semidirect
132. #2480C22semidirect
133. #2480C22semidirect
134. #2479C22semidirect
135. #2476C22semidirect
136. #2473C22semidirect
137. #2473C22semidirect
138. #2472C22semidirect
139. #2472C22semidirect
140. #2471C22semidirect
141. #2458C22semidirect
142. #2458C22semidirect
143. #2456C22semidirect
144. #2454C22semidirect
145. #2452C22semidirect
146. #2448C22semidirect
147. #2448C22semidirect
148. #2447C22semidirect
149. #2442C22semidirect
150. #2442C22semidirect
151. #2437C22semidirect
152. #2437C22semidirect
156. #2432C22semidirect
157. #2426C22semidirect
158. #2426C22semidirect
159. #2422C22semidirect
160. #2418C22semidirect
161. #2418C22semidirect
162. #2417C22semidirect
163. #2417C22semidirect
164. #2414C22semidirect
165. #2413C22semidirect
166. #2412C22semidirect
167. #2412C22semidirect
168. #2412C22semidirect
169. #2411C22semidirect
170. #2411C22semidirect
171. #2411C22semidirect
178. #2407C22semidirect
182. #2404C22semidirect
183. #2374C22semidirect
184. #2367C22semidirect
185. #2363C22semidirect
186. #2363C22semidirect
187. #2360C22semidirect
188. #2360C22semidirect
189. #2358C22semidirect
190. #2358C22semidirect
191. #2357C22semidirect
192. #2352C22semidirect
193. #2352C22semidirect
194. #2344C22semidirect
195. #2342C22semidirect
196. #2342C22semidirect
197. #2342C22semidirect
198. #2342C22semidirect
199. #2342C22semidirect
200. #2342C22semidirect
201. #2342C22semidirect
202. #2342C22semidirect
203. #2342C22semidirect
204. #2342C22semidirect
205. #2342C22semidirect
206. #2341C22semidirect
210. #2335C22semidirect
211. #2333C22semidirect
212. #2321C22semidirect
213. #2321C22semidirect
214. #2315C22semidirect
215. #2315C22semidirect
216. #2312C22semidirect
217. #2312C22semidirect
218. #2312C22semidirect
219. C4×#124C22semidirect
220. C4×C22⋊Q8C22semidirect
221. C4×C22⋊Q8C22semidirect
222. C4×C22⋊Q8C22semidirect
223. C4×C22⋊Q8C22semidirect
224. C4×C22⋊Q8C22semidirect
225. C4×C22⋊Q8C22semidirect
226. C4×C22⋊Q8C22semidirect
227. C4×C22⋊Q8C22semidirect
228. C4×#123C22semidirect
229. C4×#123C22semidirect
230. C4×#121C22semidirect
231. C4×#121C22semidirect
232. C4×#121C22semidirect
233. C4×#121C22semidirect
234. C4×#121C22semidirect
237. #2297C22semidirect
238. #2297C22semidirect
239. #2296C22semidirect
240. #2296C22semidirect
241. #2293C22semidirect
256. #2290C22semidirect
257. #2290C22semidirect
258. #2285C22semidirect
263. #2273C22semidirect
264. C42×D4C22semidirect
265. C42×D4C22semidirect
266. C4×#117C22semidirect
290. C2×C4⋊Q8C23semidirect
291. C2×C4⋊Q8C23semidirect
292. C2×#126C23semidirect
293. C2×#126C23semidirect
294. C2×#126C23semidirect
295. C2×#125C23semidirect
296. C2×#125C23semidirect
297. C2×#125C23semidirect
301. C2×#124C23semidirect
309. C2×#123C23semidirect
310. C2×#123C23semidirect
319. C2×C22⋊Q8C23semidirect
320. C2×C22⋊Q8C23semidirect
337. C2×C4×Q8C23semidirect
338. C2×C4×Q8C23semidirect
339. C2×C4×Q8C23semidirect
340. C2×C4×Q8C23semidirect
341. C2×C4×Q8C23semidirect
353. C2×C4×D4C23semidirect
354. C2×C4×D4C23semidirect
355. C2×C4×D4C23semidirect
363. C2×#117C23semidirect
364. C2×#117C23semidirect
365. C2×#117C23semidirect
411. C22×C42C23semidirect
412. #400C23semidirect
413. #400C23semidirect
414. #400C23semidirect
415. #400C23semidirect
416. #399C23semidirect
417. #399C23semidirect
418. #399C23semidirect
419. #399C23semidirect
420. #398C23semidirect
421. #398C23semidirect
422. #398C23semidirect
423. #398C23semidirect
424. #398C23semidirect
425. #397C23semidirect
426. #397C23semidirect
427. #397C23semidirect
428. #397C23semidirect
429. #397C23semidirect
430. #397C23semidirect
431. #397C23semidirect
432. #397C23semidirect
433. #397C23semidirect
434. #397C23semidirect
435. #397C23semidirect
436. #397C23semidirect
437. #397C23semidirect
438. #396C23semidirect
439. #396C23semidirect
440. #396C23semidirect
441. #396C23semidirect
442. #396C23semidirect
443. #396C23semidirect
444. #396C23semidirect
445. #396C23semidirect
446. #396C23semidirect
447. #396C23semidirect
457. #394C23semidirect
458. #394C23semidirect
459. #394C23semidirect
460. #394C23semidirect
461. #394C23semidirect
462. #394C23semidirect
463. #394C23semidirect
464. #394C23semidirect
465. #394C23semidirect
466. #394C23semidirect
467. #393C23semidirect
468. #393C23semidirect
469. #393C23semidirect
470. #393C23semidirect
474. #392C23semidirect
475. #392C23semidirect
476. #391C23semidirect
477. #391C23semidirect
478. #391C23semidirect
479. #391C23semidirect
480. #391C23semidirect
481. #391C23semidirect
482. #391C23semidirect
483. #391C23semidirect
514. #390C23semidirect
515. #390C23semidirect
516. #390C23semidirect
517. #390C23semidirect
518. #390C23semidirect
519. #390C23semidirect
520. #390C23semidirect
521. #390C23semidirect
522. #389C23semidirect
523. #389C23semidirect
524. #389C23semidirect
525. #389C23semidirect
526. #389C23semidirect
527. #389C23semidirect
528. #389C23semidirect
529. #389C23semidirect
530. #389C23semidirect
531. #389C23semidirect
532. #389C23semidirect
533. #389C23semidirect
534. #389C23semidirect
535. #389C23semidirect
536. #389C23semidirect
537. #389C23semidirect
538. #389C23semidirect
539. #389C23semidirect
540. #388C23semidirect
541. #388C23semidirect
542. #388C23semidirect
543. #388C23semidirect
544. #388C23semidirect
545. #388C23semidirect
546. #388C23semidirect
547. #388C23semidirect
548. #388C23semidirect
549. #388C23semidirect
550. #388C23semidirect
551. #388C23semidirect
552. #388C23semidirect
553. #388C23semidirect
554. #388C23semidirect
555. #388C23semidirect
556. #388C23semidirect
557. #388C23semidirect
558. #388C23semidirect
559. #388C23semidirect
560. #388C23semidirect
561. #388C23semidirect
562. #388C23semidirect
563. #388C23semidirect
564. #388C23semidirect
565. #388C23semidirect
566. #388C23semidirect
567. #388C23semidirect
568. #388C23semidirect
569. #388C23semidirect
570. #388C23semidirect
571. #388C23semidirect
572. #388C23semidirect
573. #388C23semidirect
574. #388C23semidirect
575. #388C23semidirect
576. #388C23semidirect
577. #388C23semidirect
578. #388C23semidirect
579. #388C23semidirect
580. #388C23semidirect
581. #388C23semidirect
582. #388C23semidirect
583. #388C23semidirect
584. #388C23semidirect
585. #388C23semidirect
586. #387C23semidirect
587. #387C23semidirect
588. #387C23semidirect
589. #387C23semidirect
590. #387C23semidirect
591. #387C23semidirect
592. #387C23semidirect
593. #387C23semidirect
594. #387C23semidirect
595. #387C23semidirect
596. #387C23semidirect
597. #387C23semidirect
598. #387C23semidirect
599. #387C23semidirect
616. #386C23semidirect
617. #386C23semidirect
618. #386C23semidirect
619. #386C23semidirect
620. #386C23semidirect
621. #386C23semidirect
622. #386C23semidirect
623. #386C23semidirect
640. #385C23semidirect
641. #385C23semidirect
642. #385C23semidirect
643. #385C23semidirect
644. #385C23semidirect
645. #385C23semidirect
646. #385C23semidirect
647. #385C23semidirect
648. #385C23semidirect
649. #385C23semidirect
650. #385C23semidirect
651. #385C23semidirect
652. #384C23semidirect
653. #384C23semidirect
654. #382C23semidirect
655. #382C23semidirect
656. #382C23semidirect
663. #381C23semidirect
664. #381C23semidirect
683. #380C23semidirect
684. #380C23semidirect
685. #380C23semidirect
686. #380C23semidirect
701. C4×C4⋊C4C23semidirect
702. C4×C4⋊C4C23semidirect
703. C4×C4⋊C4C23semidirect
704. C4×C4⋊C4C23semidirect
705. C4×C4⋊C4C23semidirect
706. C4×C4⋊C4C23semidirect
707. C4×C4⋊C4C23semidirect
708. C4×C4⋊C4C23semidirect
709. C4×C4⋊C4C23semidirect
710. C4×C4⋊C4C23semidirect
711. C4×C4⋊C4C23semidirect
712. C4×C4⋊C4C23semidirect
713. C4×C4⋊C4C23semidirect
714. C4×C4⋊C4C23semidirect
715. C4×C4⋊C4C23semidirect
716. C4×C4⋊C4C23semidirect
731. C4×C22⋊C4C23semidirect
732. C4×C22⋊C4C23semidirect
733. C4×C22⋊C4C23semidirect
734. C4×C22⋊C4C23semidirect
735. C4×C22⋊C4C23semidirect
736. C4×C22⋊C4C23semidirect
737. C4×C22⋊C4C23semidirect
738. C4×C22⋊C4C23semidirect
739. C4×C22⋊C4C23semidirect
740. C4×C22⋊C4C23semidirect
741. C4×C22⋊C4C23semidirect
742. C4×C22⋊C4C23semidirect
743. C4×C22⋊C4C23semidirect
744. C4×C22⋊C4C23semidirect
745. C4×C22⋊C4C23semidirect
746. C4×C22⋊C4C23semidirect
747. #376C23semidirect
748. C43C23semidirect
791. C22×D4#41semidirect
817. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#598622
#598612
#598482
#598192
#598072
#592722
#590942
#395482
#395402
#395112
#395032
#394952
#394862
#384662
#384642
#384602
#366252
#363862
#363602
#362932
#362622
#361632
#361582
#361522
#353782
#350502
#350252
#343202
#341762
C4×#5252
C22×#3902