Finite Group Databasebeta

← #7686286

Subgroups — #7686286

Order 512.

6011 conjugacy classes of subgroups.

The subgroup lattice has 1835 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59823C211yesmaximal, characteristic, complemented
2#59812C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59678C211yesmaximal, characteristic, complemented
5#59650C212yesmaximal, complemented
6#59528C214yesmaximal, complemented
7#59424C212yesmaximal, complemented
8#59038C212yesmaximal, complemented
9#44995C212yesmaximal, complemented
10#44876C212yesmaximal, complemented
11#44412C214yesmaximal, complemented
12#44244C214yesmaximal, complemented
13#40392C214yesmaximal, complemented
14#40175C212yesmaximal, complemented
15#40046C212yesmaximal, complemented
16#39817C212yesmaximal, complemented
17#39362C211yesmaximal, characteristic, complemented
18#38951C211yesmaximal, characteristic, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36518C212yesmaximal, complemented
21#36493C212yesmaximal, complemented
22#36469C211yesmaximal, characteristic, complemented
23#36454C211yesmaximal, characteristic, complemented
24#36360C212yesmaximal, complemented
25#36260C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#35808C212yesmaximal, complemented
28#35745C212yesmaximal, complemented
29#34964C212yesmaximal, complemented
30#34893C211yesmaximal, characteristic, complemented
31#34316C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34269C212yesmaximal, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#554C2212yescomplemented
38C2×#553C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#547C2211yescharacteristic
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×D42C2211yescharacteristic
45C2×#535C2212yes—
46C2×#529C2212yescomplemented
47C2×#518C2212yes—
48C2×C4×#41C2212yescomplemented
49C2×C4×#41C2212yescomplemented
50#2862C2211yescharacteristic, complemented
51#2858C2211yescharacteristic
52#2858C2211yescharacteristic
53#2856C2212yes—
54#2855C2212yescomplemented
55#2854C2212yescomplemented
56#2850C2212yescomplemented
57#2850C2214yescomplemented
58#2800C2214yescomplemented
59#2796C2214yescomplemented
60#2786C2214yescomplemented
61#2780C2214yescomplemented
62#2743C2214yescomplemented
63#2740C2214yescomplemented
64#2740C2214yescomplemented
65#2732C2214yescomplemented
66#2714C2214yescomplemented
67#2711C2214yescomplemented
68#2708C2214yescomplemented
69#2706C2214yescomplemented
70#2706C2214yescomplemented
71#2699C2214yescomplemented
72#2696C2214yescomplemented
73#2693C2214yescomplemented
74#2688C2214yescomplemented
75#2678C2214yes—
76#2678C2214yes—
77#2678C2214yescomplemented
78#2668C2214yescomplemented
79#2654C2214yescomplemented
80#2630C2214yescomplemented
81#2620C2212yes—
82#2620C2212yescomplemented
83#2602C2214yescomplemented
84#2601C2214yescomplemented
85#2601C2214yescomplemented
86#2597C2214yescomplemented
87#2592C2212yescomplemented
88#2592C2212yescomplemented
89#2592C2212yescomplemented
90#2589C2212yescomplemented
91#2587C2212yescomplemented
92#2584C2211yescharacteristic, complemented
93#2580C2211yescharacteristic
94#2580C2212yescomplemented
95#2575C2214yescomplemented
96#2566C2211yescharacteristic
97#2564C2214yescomplemented
98#2562C2212yescomplemented
99#2560C2214yescomplemented
100#2559C2214yescomplemented
101#2558C2214yescomplemented
102#2558C2214yescomplemented
103#2557C2214yescomplemented
104#2553C2214yescomplemented
105#2552C2212yescomplemented
106#2550C2211yescharacteristic, complemented
107#2547C2211yescharacteristic
108#2547C2211yescharacteristic, complemented
109#2544C2212yes—
110#2544C2212yescomplemented
111#2543C2214yescomplemented
112#2542C2211yescharacteristic
113#2542C2211yescharacteristic, complemented
114#2541C2211yescharacteristic
115#2541C2211yescharacteristic
116#2541C2212yescomplemented
117#2540C2212yes—
118#2540C2212yes—
119#2540C2214yescomplemented
120#2539C2214yes—
121#2539C2214yes—
122#2538C2212yes—
123#2538C2212yescomplemented
124#2538C2212yescomplemented
125#2535C2212yescomplemented
126#2535C2214yescomplemented
127#2534C2214yescomplemented
128#2522C2212yescomplemented
129#2522C2214yescomplemented
130#2519C2214yescomplemented
131#2517C2214yescomplemented
132#2513C2212yescomplemented
133#2513C2212yescomplemented
134#2512C2212yescomplemented
135#2512C2212yescomplemented
136#2511C2212yescomplemented
137#2511C2212yescomplemented
138#2509C2211yescharacteristic, complemented
139#2507C2211yescharacteristic, complemented
140#2502C2212yescomplemented
141#2501C2212yes—
142#2498C2214yescomplemented
143#2491C2212yescomplemented
144#2489C2212yescomplemented
145#2487C2212yescomplemented
146#2485C2212yescomplemented
147#2480C2214yescomplemented
148#2480C2214yescomplemented
149#2476C2214yescomplemented
150#2472C2214yescomplemented
151#2471C2214yescomplemented
152#2471C2214yescomplemented
153#2471C2214yescomplemented
154#2471C2214yescomplemented
155#2470C2214yescomplemented
156#2467C2214yescomplemented
157#2465C2212yescomplemented
158#2461C2214yescomplemented
159#2458C2214yescomplemented
160#2457C2214yescomplemented
161#2457C2214yescomplemented
162#2456C2214yescomplemented
163#2456C2214yescomplemented
164#2456C2214yescomplemented
165#2454C2211yescharacteristic
166#2454C2214yescomplemented
167#2452C2211yescharacteristic
168#2448C2212yescomplemented
169#2448C2212yescomplemented
170#2448C2212yescomplemented
171#2447C2212yes—
172#2447C2212yescomplemented
173#2447C2212yescomplemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2437C2214yescomplemented
177#2435C2212yes—
178#2433C2212yes—
179#2431C2212yes—
180#2431C2212yescomplemented
181#2430C2214yescomplemented
182#2427C2212yescomplemented
183#2426C2212yescomplemented
184#2424C2214yescomplemented
185#2422C2212yescomplemented
186#2421C2212yescomplemented
187#2418C2214yescomplemented
188#2417C2212yescomplemented
189#2417C2212yescomplemented
190#2417C2212yescomplemented
191#2417C2212yescomplemented
192#2416C2212yes—
193#2416C2212yes—
194#2416C2212yescomplemented
195#2414C2212yescomplemented
196#2411C2214yescomplemented
197#2408C2212yes—
198#2408C2212yes—
199#2407C2212yes—
200#2407C2212yes—
201#2404C2214yescomplemented
202#2396C2212yescomplemented
203#2396C2212yescomplemented
204#2396C2214yescomplemented
205#2392C2214yescomplemented
206#2374C2214yescomplemented
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2366C2211yescharacteristic
213#2366C2212yes—
214#2366C2211yescharacteristic
215#2366C2211yescharacteristic
216#2366C2212yescomplemented
217#2366C2212yescomplemented
218#2366C2211yescharacteristic, complemented
219#2365C2211yescharacteristic, complemented
220#2365C2211yescharacteristic, complemented
221#2363C2212yes—
222#2363C2212yescomplemented
223#2363C2212yescomplemented
224#2363C2212yescomplemented
225#2363C2212yescomplemented
226#2362C2212yescomplemented
227#2362C2212yescomplemented
228#2361C2212yes—
229#2361C2212yes—
230#2359C2214yescomplemented
231#2358C2214yes—
232#2358C2214yescomplemented
233#2358C2214yescomplemented
234#2358C2214yescomplemented
235#2358C2214yescomplemented
236#2357C2212yescomplemented
237#2355C2212yescomplemented
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic, complemented
241#2354C2212yescomplemented
242#2354C2211yescharacteristic, complemented
243#2354C2211yescharacteristic, complemented
244#2352C2212yescomplemented
245Q8×C4⋊C4C2211yescharacteristic, complemented
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic, complemented
248#2345C2212yescomplemented
249#2344C2212yescomplemented
250#2342C2214yescomplemented
251#2341C2212yes—
252#2341C2212yescomplemented
253#2339C2212yescomplemented
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256#2335C2214yescomplemented
257#2324C2212yes—
258#2324C2212yescomplemented
259#2324C2214yescomplemented
260#2324C2214yescomplemented
261#2321C2214yes—
262#2311C2212yescomplemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2211yescharacteristic, complemented
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#127C2211yescharacteristic
269C4×#127C2211yescharacteristic, complemented
270C4×#125C2211yescharacteristic, complemented
271C4×#125C2211yescharacteristic, complemented
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×#123C2214yescomplemented
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2214yescomplemented
284C4×#121C2214yescomplemented
285C4×#121C2214yescomplemented
286#2297C2212yes—
287#2296C2212yescomplemented
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290C2×#390C2212yes—
291C2×#390C2212yes—
292#2274C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#559—48no—
305#554—48no—
306#553—48no—
307#550—28no—
308#547—28no—
309#547—28no—
310#546—48no—
311#546—48no—
312D42—28no—
313#535—216no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323#529—48no—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375#518—48no—
376C4×#41—48no—
377C4×#41—48no—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2314yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2314yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C22⋊C4C2314yes—
437C22×C22⋊C4C2314yes—
438C22×C22⋊C4C2314yes—
439C22×C22⋊C4C2314yes—
440C22×C22⋊C4C2314yes—
441C22×C42C2312yes—
442C22×C42C2314yes—
443C22×C42C2312yes—
444C22×C42C2312yes—
445C22×C42C2312yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2312yes—
450#400C2312yes—
451#400C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2312yes—
455#399C2314yes—
456#399C2312yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2312yes—
463#398C2312yes—
464#398C2314yes—
465#398C2314yes—
466#398C2312yes—
467#398C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#395C2312yes—
495#395C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2314yes—
513#393C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2311yescharacteristic
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2314yes—
732#382C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#379C2314yes—
755#379C2314yes—
756#379C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C25C2414yes—
825C2×#41—28no—
826C2×#41—28no—
827C2×#41—28no—
828C2×#41—28no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×D4—28no—
839C22×D4—28no—
840C22×D4—28no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C4⋊Q8—24no—
884C4⋊Q8—24no—
885C4⋊Q8—24no—
886#127—28no—
887#127—24no—
888#127—24no—
889#127—24no—
890#127—44no—
891#127#4118yescomplemented
892#126—48no—
893#126—48no—
894#125—24no—
895#125—24no—
896#125—48no—
897#124—28no—
898#124—28no—
899#124—28no—
900#124—48no—
901#124—44no—
902#124—44no—
903#124—44no—
904#123—216no—
905#123—216no—
906#123—48no—
907#123—48no—
908#123—48no—
909#123—48no—
910#123—48no—
911#123—48no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—44no—
916C22⋊Q8—48no—
917C22⋊Q8—44no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—48no—
921#121—216no—
922#121—216no—
923#121—28no—
924#121—28no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—28no—
930#121—28no—
931#121—48no—
932#121—48no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—48no—
937#121—44no—
938#120—216no—
939#120—216no—
940#120—216no—
941#120—48no—
942#120—48no—
943C4×Q8—28no—
944C4×Q8—24no—
945C4×Q8—24no—
946C4×Q8—44no—
947C4×Q8—42no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×Q8—44no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—28no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—24no—
965C4×D4—44no—
966C4×D4—48no—
967C4×D4—48no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—48no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981C4×D4—48no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—48no—
985C4×D4—48no—
986C4×D4—48no—
987C4×D4#4118yescomplemented
988#117—28no—
989#117—28no—
990#117—44no—
991#117—44no—
992#117—44no—
993#117—48no—
994#117—48no—
995#117—44no—
996#117—44no—
997C2×C4⋊C4—28no—
998C2×C4⋊C4—28no—
999C2×C4⋊C4—28no—
1000C2×C4⋊C4—44no—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C22⋊C4—48no—
1065C2×C22⋊C4—48no—
1066C2×C22⋊C4—48no—
1067C2×C22⋊C4—48no—
1068C2×C22⋊C4—48no—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C42—28no—
1137C2×C42—44no—
1138C2×C42—44no—
1139C2×C42—44no—
1140C2×C42—48no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2414yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2414yes—
1164C2×C42C2414yes—
1165C2×C42C2414yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2414yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2412yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2411yescharacteristic
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230C24—28no—
1231C24—28no—
1232C24—44no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24—44no—
1237C24C2514yes—
1238C24C2512yes—
1239C24C2512yes—
1240C24C2512yes—
1241C24C2512yes—
1242#41—432no—
1243#41—432no—
1244#41—816no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—24no—
1252C2×Q8—24no—
1253C2×Q8—24no—
1254C2×Q8—22no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—28no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—28no—
1287C2×D4—24no—
1288C2×D4—432no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—816no—
1317C2×D4C2×#4114yes—
1318C2×D4C2×#4114yes—
1319C2×D4C2×#4114yes—
1320C2×D4C2×#4118yes—
1321C2×D4C2×#4118yes—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—28no—
1327C22×C4—28no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—28no—
1347C22×C4—28no—
1348C22×C4—24no—
1349C22×C4—44no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4C2×#4118yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2514yes—
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2514yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—28no—
1410C4⋊C4—28no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4C2×#4114yes—
1467C4⋊C4H(5,𝔽2)14yes—
1468C4⋊C4H(5,𝔽2)14yes—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4C2×#4118yes—
1536C42—24no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—28no—
1546C42—28no—
1547C42—24no—
1548C42—22no—
1549C42—24no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—42no—
1556C42—42no—
1557C42—42no—
1558C42—42no—
1559C42—42no—
1560C42—42no—
1561C42—44no—
1562C42—41no—
1563C42—41no—
1564C42—41no—
1565C42—44no—
1566C42—44no—
1567C42—44no—
1568C42—41no—
1569C42—41no—
1570C42C2×#4114yes—
1571C42C2×#4114yes—
1572C42H(5,𝔽2)14yes—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—24no—
1595C23—24no—
1596C23—22no—
1597C23—24no—
1598C23—24no—
1599C23—22no—
1600C23—22no—
1601C23—24no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—416no—
1606C23—88no—
1607C23—88no—
1608C23—88no—
1609C23—88no—
1610C23—164no—
1611C23—164no—
1612C23C22×#4114yes—
1613C23C22×#4114yes—
1614C23C22×#4114yes—
1615C23C2611yescharacteristic
1616Q8—28no—
1617Q8—48no—
1618Q8—48no—
1619Q8—84no—
1620D4—28no—
1621D4—28no—
1622D4—28no—
1623D4—48no—
1624D4—48no—
1625D4—416no—
1626D4—48no—
1627D4—48no—
1628D4—416no—
1629D4—44no—
1630D4—48no—
1631D4—48no—
1632D4—84no—
1633D4—88no—
1634D4—84no—
1635D4—88no—
1636D4—84no—
1637D4—88no—
1638D4—88no—
1639D4—88no—
1640D4—164no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—216no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—48no—
1720C2×C4—416no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—48no—
1725C2×C4—84no—
1726C2×C4—88no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—88no—
1731C2×C4—88no—
1732C2×C4—164no—
1733C2×C4—164no—
1734C2×C4C22×#4112yes—
1735C2×C4C22×#4112yes—
1736C2×C4C22×#4112yes—
1737C2×C4C22×#4114yes—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4112yes—
1740C2×C4C22×#4112yes—
1741C2×C4C2×H(5,𝔽2)14yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)14yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4#58512yes—
1749C22—24no—
1750C22—24no—
1751C22—24no—
1752C22—24no—
1753C22—24no—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—24no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—44no—
1772C22—44no—
1773C22—42no—
1774C22—44no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—44no—
1783C22—42no—
1784C22—1616no—
1785C22C23×#4111yescharacteristic
1786C22C23×#4111yescharacteristic
1787C22C22×H(5,𝔽2)11yescharacteristic
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C22C2×#58511yescharacteristic
1791C222−1+611yescharacteristic
1792C4—22no—
1793C4—22no—
1794C4—24no—
1795C4—22no—
1796C4—22no—
1797C4—22no—
1798C4—22no—
1799C4—24no—
1800C4—24no—
1801C4—42no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—44no—
1806C4—41no—
1807C4—42no—
1808C4—41no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—44no—
1815C4—41no—
1816C4—41no—
1817C4—42no—
1818C4—42no—
1819C4—44no—
1820C4#348114yes—
1821C4#350814yes—
1822C2—44no—
1823C2—44no—
1824C2—44no—
1825C2—82no—
1826C2—84no—
1827C2C2×#348111yescharacteristic
1828C2#6277311yescharacteristic
1829C2C2×#350811yescharacteristic
1830C2#6291411yescharacteristic
1831C2#6298411yescharacteristic
1832C2#6299511yescharacteristic
1833C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59823C2semidirect
2. #59812C2semidirect
3. #59680C2semidirect
4. #59678C2semidirect
5. #59650C2semidirect
6. #59528C2semidirect
7. #59424C2semidirect
8. #59038C2semidirect
9. #44995C2semidirect
10. #44876C2semidirect
11. #44412C2semidirect
12. #44244C2semidirect
13. #40392C2semidirect
14. #40175C2semidirect
15. #40046C2semidirect
16. #39817C2semidirect
17. #39362C2semidirect
18. #38951C2semidirect
19. #36609C2semidirect
20. #36518C2semidirect
21. #36493C2semidirect
22. #36469C2semidirect
23. #36454C2semidirect
24. #36360C2semidirect
25. #36260C2semidirect
26. #36115C2semidirect
27. #35808C2semidirect
28. #35745C2semidirect
29. #34964C2semidirect
30. #34893C2semidirect
31. #34316C2semidirect
32. #34310C2semidirect
33. #34269C2semidirect
34. C4×#550C2semidirect
35. C4×#547C2semidirect
36. C2×#559C22semidirect
37. C2×#554C22semidirect
38. C2×#553C22semidirect
46. C2×#529C22semidirect
48. C2×C4×#41C22semidirect
49. C2×C4×#41C22semidirect
50. #2862C22semidirect
54. #2855C22semidirect
55. #2854C22semidirect
56. #2850C22semidirect
57. #2850C22semidirect
58. #2800C22semidirect
59. #2796C22semidirect
60. #2786C22semidirect
61. #2780C22semidirect
62. #2743C22semidirect
63. #2740C22semidirect
64. #2740C22semidirect
65. #2732C22semidirect
66. #2714C22semidirect
67. #2711C22semidirect
68. #2708C22semidirect
69. #2706C22semidirect
70. #2706C22semidirect
71. #2699C22semidirect
72. #2696C22semidirect
73. #2693C22semidirect
74. #2688C22semidirect
77. #2678C22semidirect
78. #2668C22semidirect
79. #2654C22semidirect
80. #2630C22semidirect
82. #2620C22semidirect
83. #2602C22semidirect
84. #2601C22semidirect
85. #2601C22semidirect
86. #2597C22semidirect
87. #2592C22semidirect
88. #2592C22semidirect
89. #2592C22semidirect
90. #2589C22semidirect
91. #2587C22semidirect
92. #2584C22semidirect
94. #2580C22semidirect
95. #2575C22semidirect
97. #2564C22semidirect
98. #2562C22semidirect
99. #2560C22semidirect
100. #2559C22semidirect
101. #2558C22semidirect
102. #2558C22semidirect
103. #2557C22semidirect
104. #2553C22semidirect
105. #2552C22semidirect
106. #2550C22semidirect
108. #2547C22semidirect
110. #2544C22semidirect
111. #2543C22semidirect
113. #2542C22semidirect
116. #2541C22semidirect
119. #2540C22semidirect
123. #2538C22semidirect
124. #2538C22semidirect
125. #2535C22semidirect
126. #2535C22semidirect
127. #2534C22semidirect
128. #2522C22semidirect
129. #2522C22semidirect
130. #2519C22semidirect
131. #2517C22semidirect
132. #2513C22semidirect
133. #2513C22semidirect
134. #2512C22semidirect
135. #2512C22semidirect
136. #2511C22semidirect
137. #2511C22semidirect
138. #2509C22semidirect
139. #2507C22semidirect
140. #2502C22semidirect
142. #2498C22semidirect
143. #2491C22semidirect
144. #2489C22semidirect
145. #2487C22semidirect
146. #2485C22semidirect
147. #2480C22semidirect
148. #2480C22semidirect
149. #2476C22semidirect
150. #2472C22semidirect
151. #2471C22semidirect
152. #2471C22semidirect
153. #2471C22semidirect
154. #2471C22semidirect
155. #2470C22semidirect
156. #2467C22semidirect
157. #2465C22semidirect
158. #2461C22semidirect
159. #2458C22semidirect
160. #2457C22semidirect
161. #2457C22semidirect
162. #2456C22semidirect
163. #2456C22semidirect
164. #2456C22semidirect
166. #2454C22semidirect
168. #2448C22semidirect
169. #2448C22semidirect
170. #2448C22semidirect
172. #2447C22semidirect
173. #2447C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2437C22semidirect
180. #2431C22semidirect
181. #2430C22semidirect
182. #2427C22semidirect
183. #2426C22semidirect
184. #2424C22semidirect
185. #2422C22semidirect
186. #2421C22semidirect
187. #2418C22semidirect
188. #2417C22semidirect
189. #2417C22semidirect
190. #2417C22semidirect
191. #2417C22semidirect
194. #2416C22semidirect
195. #2414C22semidirect
196. #2411C22semidirect
201. #2404C22semidirect
202. #2396C22semidirect
203. #2396C22semidirect
204. #2396C22semidirect
205. #2392C22semidirect
206. #2374C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
216. #2366C22semidirect
217. #2366C22semidirect
218. #2366C22semidirect
219. #2365C22semidirect
220. #2365C22semidirect
222. #2363C22semidirect
223. #2363C22semidirect
224. #2363C22semidirect
225. #2363C22semidirect
226. #2362C22semidirect
227. #2362C22semidirect
230. #2359C22semidirect
232. #2358C22semidirect
233. #2358C22semidirect
234. #2358C22semidirect
235. #2358C22semidirect
236. #2357C22semidirect
237. #2355C22semidirect
240. #2354C22semidirect
241. #2354C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2352C22semidirect
245. Q8×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. #2345C22semidirect
249. #2344C22semidirect
250. #2342C22semidirect
252. #2341C22semidirect
253. #2339C22semidirect
256. #2335C22semidirect
258. #2324C22semidirect
259. #2324C22semidirect
260. #2324C22semidirect
262. #2311C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
269. C4×#127C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×#123C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
287. #2296C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
891. #127#41semidirect
987. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598232
#598122
#596802
#596782
#596502
#595282
#594242
#590382
#449952
#448762
#444122
#442442
#403922
#401752
#400462
#398172
#393622
#389512
#366092
#365182
#364932
#364692
#364542
#363602
#362602
#361152
#358082
#357452
#349642
#348932
#343162
#343102
#342692
C4×#5502
C4×#5472