Finite Group Databasebeta

← #7710612

Subgroups — #7710612

Order 512.

7402 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3560C211yesmaximal, characteristic, complemented
2C22×#529C211yesmaximal, characteristic, complemented
3#59177C214yesmaximal, complemented
4#59172C214yesmaximal, complemented
5#45969C214yesmaximal, complemented
6#45968C214yesmaximal, complemented
7#39128C212yesmaximal, complemented
8#38900C212yesmaximal, complemented
9#38029C212yesmaximal, complemented
10#38028C212yesmaximal, complemented
11#37818C214yesmaximal, complemented
12#37817C214yesmaximal, complemented
13#37805C214yesmaximal, complemented
14#37804C214yesmaximal, complemented
15#37547C211yesmaximal, characteristic, complemented
16#37538C211yesmaximal, characteristic, complemented
17#36719C211yesmaximal, characteristic, complemented
18#36717C211yesmaximal, characteristic, complemented
19#36707C211yesmaximal, characteristic, complemented
20#36706C211yesmaximal, characteristic, complemented
21#36624C211yesmaximal, characteristic, complemented
22#36621C211yesmaximal, characteristic, complemented
23#36582C212yesmaximal, complemented
24#36102C212yesmaximal, complemented
25#36099C212yesmaximal, complemented
26#36099C212yesmaximal, complemented
27#35150C211yesmaximal, characteristic, complemented
28#35094C211yesmaximal, characteristic, complemented
29#35093C211yesmaximal, characteristic, complemented
30#35089C211yesmaximal, characteristic, complemented
31#34381C211yesmaximal, characteristic, complemented
32#3560—216no—
33C2×#563C2212yescomplemented
34C2×#560C2212yescomplemented
35C2×#553C2212yes—
36C2×#553C2212yescomplemented
37C2×#551C2212yescomplemented
38C2×#547C2212yes—
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#542C2212yescomplemented
42C2×#539C2211yescharacteristic
43C2×#539C2212yescomplemented
44C2×#538C2211yescharacteristic
45C2×#538C2212yescomplemented
46C2×#538C2212yescomplemented
47C2×#537C2211yescharacteristic
48C2×#534C2211yescharacteristic
49C2×#532C2211yescharacteristic
50C2×#529—216no—
51C2×#529C2211yescharacteristic
52C2×#529C2214yescomplemented
53C2×#529C2214yescomplemented
54C2×#529C2214yescomplemented
55C2×#529C2214yescomplemented
56C22×#126C2211yescharacteristic
57C22×#126C2211yescharacteristic, complemented
58C22×#125C2211yescharacteristic, complemented
59C22×#124C2211yescharacteristic
60C2×#525C2212yescomplemented
61C2×#525C2212yescomplemented
62C22×#123C2211yescharacteristic
63C22×#123C2212yes—
64C22×#123C2211yescharacteristic, complemented
65C22×C22⋊Q8C2211yescharacteristic, complemented
66C22×#121C2211yescharacteristic
67C22×C4×Q8C2211yescharacteristic, complemented
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic, complemented
71C22×#117C2211yescharacteristic
72C22×#117C2211yescharacteristic, complemented
73C23×C42C2211yescharacteristic, complemented
74#2857C2212yescomplemented
75#2856C2212yescomplemented
76#2855C2211yescharacteristic, complemented
77#2854C2212yes—
78#2854C2211yescharacteristic
79#2854C2211yescharacteristic
80#2854C2212yescomplemented
81#2854C2212yescomplemented
82#2854C2211yescharacteristic, complemented
83#2853C2212yescomplemented
84#2852C2214yescomplemented
85#2851C2212yescomplemented
86#2850C2212yescomplemented
87#2850C2214yescomplemented
88#2849C2212yes—
89#2849C2212yescomplemented
90#2849C2212yescomplemented
91#2848C2211yescharacteristic, complemented
92#2847C2211yescharacteristic
93#2847C2211yescharacteristic
94#2847C2211yescharacteristic, complemented
95#2847C2212yescomplemented
96#2823C2214yescomplemented
97#2821C2212yescomplemented
98#2818C2212yescomplemented
99#2713C2214yescomplemented
100#2712C2214yescomplemented
101#2711C2214yescomplemented
102#2707C2214yescomplemented
103#2705C2214yescomplemented
104#2704C2214yescomplemented
105#2704C2214yescomplemented
106#2703C2214yes—
107#2703C2214yes—
108#2702C2214yescomplemented
109#2700C2214yescomplemented
110#2694C2214yescomplemented
111#2693C2214yescomplemented
112#2692C2214yescomplemented
113#2692C2214yescomplemented
114#2691C2214yescomplemented
115#2687C2214yescomplemented
116#2683C2214yescomplemented
117#2682C2214yescomplemented
118#2681C2214yescomplemented
119#2678C2214yescomplemented
120#2676C2214yescomplemented
121#2676C2214yescomplemented
122#2676C2214yescomplemented
123#2676C2214yescomplemented
124#2675C2214yescomplemented
125#2673C2214yescomplemented
126#2671C2214yescomplemented
127#2671C2214yescomplemented
128#2670C2214yescomplemented
129#2669C2214yes—
130#2669C2214yes—
131#2664C2212yescomplemented
132#2662C2212yescomplemented
133#2662C2214yescomplemented
134#2637C2212yescomplemented
135#2636C2212yescomplemented
136#2636C2214yescomplemented
137#2627C2211yescharacteristic, complemented
138#2626C2211yescharacteristic, complemented
139#2623C2212yescomplemented
140#2622C2212yes—
141#2618C2211yescharacteristic
142#2618C2211yescharacteristic
143#2618C2212yes—
144#2618C2211yescharacteristic, complemented
145#2617C2211yescharacteristic
146#2617C2211yescharacteristic
147#2617C2211yescharacteristic, complemented
148#2617C2212yescomplemented
149#2603C2212yescomplemented
150#2603C2212yescomplemented
151#2601C2214yescomplemented
152#2591C2212yes—
153#2591C2212yescomplemented
154#2579C2212yescomplemented
155#2579C2212yescomplemented
156#2558C2214yescomplemented
157#2557C2214yescomplemented
158#2557C2214yescomplemented
159#2556C2214yescomplemented
160#2555C2214yescomplemented
161#2554C2214yescomplemented
162#2539C2212yescomplemented
163#2539C2212yescomplemented
164#2534C2212yescomplemented
165#2534C2212yescomplemented
166#2479C2214yescomplemented
167#2478C2214yescomplemented
168#2477C2214yescomplemented
169#2476C2214yescomplemented
170#2475C2214yescomplemented
171#2474C2214yescomplemented
172#2473C2214yescomplemented
173#2472C2214yescomplemented
174#2471C2214yescomplemented
175#2471C2214yescomplemented
176#2470C2214yescomplemented
177#2469C2214yescomplemented
178#2469C2214yescomplemented
179#2464C2214yescomplemented
180#2464C2214yescomplemented
181#2464C2214yescomplemented
182#2463C2214yescomplemented
183#2463C2214yescomplemented
184#2461C2214yescomplemented
185#2461C2214yescomplemented
186#2460C2214yescomplemented
187#2459C2214yescomplemented
188#2458C2214yescomplemented
189#2458C2214yescomplemented
190#2457C2214yescomplemented
191#2456C2214yescomplemented
192#2456C2214yescomplemented
193#2456C2214yescomplemented
194#2456C2214yescomplemented
195#2456C2214yescomplemented
196#2455C2214yescomplemented
197#2455C2214yescomplemented
198#2453C2214yescomplemented
199#2452C2214yescomplemented
200#2449C2214yescomplemented
201#2449C2214yescomplemented
202#2445C2214yescomplemented
203#2436C2212yescomplemented
204#2433C2212yes—
205#2428C2214yescomplemented
206#2426C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2418C2214yescomplemented
210#2415C2214yescomplemented
211#2415C2214yescomplemented
212#2414C2214yescomplemented
213#2414C2214yescomplemented
214#2413C2212yescomplemented
215#2413C2212yescomplemented
216#2413C2214yescomplemented
217#2413C2214yescomplemented
218#2411C2212yescomplemented
219#2411C2212yescomplemented
220#2411C2214yescomplemented
221#2411C2214yescomplemented
222#2410C2212yes—
223#2410C2212yes—
224#2409C2212yescomplemented
225#2408C2212yescomplemented
226#2406C2212yescomplemented
227#2406C2212yescomplemented
228#2404C2212yescomplemented
229#2404C2212yescomplemented
230#2403C2212yes—
231#2403C2212yes—
232#2383C2214yescomplemented
233#2373C2214yescomplemented
234#2367C2214yescomplemented
235#2366C2214yescomplemented
236#2362C2214yescomplemented
237#2361C2214yescomplemented
238#2361C2214yescomplemented
239#2361C2214yescomplemented
240#2358C2214yescomplemented
241#2358C2214yescomplemented
242#2345C2212yescomplemented
243#2344C2212yescomplemented
244#2342C2212yes—
245#2342C2212yes—
246#2334C2214yescomplemented
247#2334C2214yescomplemented
248#2322C2212yescomplemented
249#2321C2212yescomplemented
250#2316C2211yescharacteristic, complemented
251#2315C2211yescharacteristic
252#2313C2211yescharacteristic, complemented
253#2312C2211yescharacteristic
254#2311C2212yescomplemented
255#2308C2212yes—
256C4×C22⋊Q8C2212yescomplemented
257C4×#123C2212yescomplemented
258C4×#123C2212yescomplemented
259C4×#123C2212yescomplemented
260C4×#121C2212yescomplemented
261C4×#121C2212yescomplemented
262C4×#121C2212yescomplemented
263C4×#121C2214yescomplemented
264C4×#120C2212yescomplemented
265#2297C2212yescomplemented
266#2290C2214yescomplemented
267#2285C2211yescharacteristic, complemented
268#2283C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2312yes—
271C23×Q8C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2311yescharacteristic
274C23×D4C2311yescharacteristic
275C23×D4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278C24×C4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281#563—216no—
282#560—216no—
283#553—216no—
284#553—216no—
285#551—216no—
286#547—216no—
287#546—216no—
288#546—216no—
289#542—216no—
290#539—216no—
291#539—28no—
292#538—216no—
293#538—216no—
294#538—28no—
295#537—28no—
296#534—28no—
297#532—28no—
298C2×C4⋊Q8C2311yescharacteristic
299C2×C4⋊Q8C2312yes—
300C2×#127C2311yescharacteristic
301C2×#127C2314yes—
302#529—232no—
303#529—232no—
304#529—232no—
305#529—232no—
306#529—28no—
307C2×#126—28no—
308C2×#126D4116yescomplemented
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#125—28no—
323C2×#125C2311yescharacteristic
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#124—28no—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337#525—48no—
338#525—48no—
339C2×#123—28no—
340C2×#123—28no—
341C2×#123—48no—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×C22⋊Q8—28no—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×#121—28no—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#120C2312yes—
409C2×#120C2312yes—
410C2×#120C2312yes—
411C2×#120C2312yes—
412C2×#120C2312yes—
413C2×#120C2312yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2312yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2312yes—
420C2×#120C2312yes—
421C2×C4×Q8—28no—
422C2×C4×Q8C2314yes—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2314yes—
425C2×C4×D4—28no—
426C2×C4×D4—28no—
427C2×C4×D4—28no—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2312yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2314yes—
450C2×#117—28no—
451C2×#117—28no—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2314yes—
455C2×#117C2314yes—
456C2×#117C2314yes—
457C2×#117C2314yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2314yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2311yescharacteristic
477C22×C22⋊C4C2311yescharacteristic
478C22×C22⋊C4C2311yescharacteristic
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2311yescharacteristic
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2314yes—
483C22×C22⋊C4C2311yescharacteristic
484C22×C22⋊C4C2311yescharacteristic
485C22×C22⋊C4C2311yescharacteristic
486C22×C42—28no—
487C22×C42C2312yes—
488C22×C42C2312yes—
489C22×C42C2312yes—
490C22×C42C2311yescharacteristic
491C22×C42C2311yescharacteristic
492C22×C42C2311yescharacteristic
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495C22×C42C2312yes—
496C22×C42C2311yescharacteristic
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2312yes—
501#399C2314yes—
502#399C2314yes—
503#399C2312yes—
504#399C2314yes—
505#398C2312yes—
506#398C2312yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#397C2312yes—
516#397C2312yes—
517#397C2312yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#395C2314yes—
537#395C2312yes—
538#395C2314yes—
539#395C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#393C2314yes—
563#393C2312yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#392C2312yes—
569#392C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#391C2314yes—
586#391C2312yes—
587#391C2314yes—
588#391C2314yes—
589#391C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2312yes—
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
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#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#384C2312yes—
730#383C2312yes—
731#382C2312yes—
732#382C2312yes—
733#381C2314yes—
734#381C2312yes—
735#381C2312yes—
736#381C2312yes—
737#381C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#379C2314yes—
753#379C2312yes—
754#379C2312yes—
755#379C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775#376C2312yes—
776C25C2411yescharacteristic
777C25C2411yescharacteristic
778C25C2411yescharacteristic
779C25C2412yes—
780C2×#41—28no—
781C2×#41—28no—
782C2×#41—44no—
783C2×#41—44no—
784C2×#41—44no—
785C2×#41—44no—
786C22×Q8—24no—
787C22×Q8—44no—
788C22×Q8C2414yes—
789C22×Q8C2411yescharacteristic
790C22×Q8C2412yes—
791C22×Q8C2412yes—
792C22×D4—24no—
793C22×D4—24no—
794C22×D4—28no—
795C22×D4—24no—
796C22×D4—44no—
797C22×D4—44no—
798C22×D4—44no—
799C22×D4—44no—
800C22×D4—44no—
801C22×D4C2412yes—
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2414yes—
805C22×D4C2414yes—
806C22×D4C2414yes—
807C22×D4C2412yes—
808C22×D4C2412yes—
809C22×D4C2411yescharacteristic
810C22×D4C2411yescharacteristic
811C22×D4C2412yes—
812C22×D4C2414yes—
813C22×D4C2414yes—
814C22×D4C2412yes—
815C22×D4C2412yes—
816C22×D4C2414yes—
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2414yes—
823C22×D4C2414yes—
824C22×D4C2414yes—
825C23×C4—24no—
826C23×C4—24no—
827C23×C4—24no—
828C23×C4—24no—
829C23×C4—24no—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4—24no—
833C23×C4—44no—
834C23×C4—42no—
835C23×C4—42no—
836C23×C4—42no—
837C23×C4—44no—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C4⋊Q8—28no—
868C4⋊Q8—24no—
869#127—24no—
870#127—48no—
871#126—28no—
872#126—28no—
873#126—28no—
874#126—28no—
875#126—28no—
876#126—28no—
877#126—28no—
878#126—28no—
879#126—28no—
880#126C2×D4116yes—
881#126C2×D4116yes—
882#126C2×D4116yes—
883#126C2×D4116yes—
884#125—216no—
885#125—216no—
886#125—28no—
887#125—28no—
888#125—24no—
889#124—216no—
890#124—216no—
891#124—28no—
892#124—28no—
893#124—28no—
894#124—24no—
895#124—28no—
896#124—48no—
897#123—28no—
898#123—28no—
899#123—28no—
900#123—28no—
901#123—28no—
902#123—216no—
903#123—216no—
904#123—28no—
905#123—28no—
906#123—28no—
907#123—28no—
908#123—28no—
909#123—216no—
910#123—216no—
911#123—28no—
912#123—28no—
913#123—28no—
914#123—28no—
915#123—28no—
916#123—48no—
917#123—48no—
918#123—44no—
919#123—44no—
920#123—44no—
921C22⋊Q8—24no—
922C22⋊Q8—216no—
923C22⋊Q8—216no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8—48no—
932C22⋊Q8—44no—
933C22⋊Q8—48no—
934C22⋊Q8—48no—
935#121—24no—
936#121—24no—
937#121—24no—
938#121—28no—
939#121—28no—
940#121—28no—
941#121—28no—
942#121—28no—
943#121—28no—
944#121—28no—
945#121—216no—
946#121—216no—
947#121—28no—
948#121—28no—
949#121—28no—
950#121—28no—
951#121—28no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#120—28no—
962#120—28no—
963#120—28no—
964#120—28no—
965#120—28no—
966#120—48no—
967#120—44no—
968#120—44no—
969#120—44no—
970#120—44no—
971#120—44no—
972#120—44no—
973#120—48no—
974C4×Q8—216no—
975C4×Q8—216no—
976C4×Q8—24no—
977C4×D4—28no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—216no—
981C4×D4—216no—
982C4×D4—28no—
983C4×D4—28no—
984C4×D4—216no—
985C4×D4—216no—
986C4×D4—216no—
987C4×D4—216no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—24no—
991C4×D4—28no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4—48no—
997C4×D4—48no—
998C4×D4—48no—
999#117—216no—
1000#117—216no—
1001#117—28no—
1002#117—216no—
1003#117—216no—
1004#117—28no—
1005#117—44no—
1006#117—44no—
1007C2×C4⋊C4—24no—
1008C2×C4⋊C4—24no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4—24no—
1012C2×C4⋊C4—24no—
1013C2×C4⋊C4—24no—
1014C2×C4⋊C4—28no—
1015C2×C4⋊C4—48no—
1016C2×C4⋊C4C2×D418yes—
1017C2×C4⋊C4C2×D418yes—
1018C2×C4⋊C4C2×D418yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C22⋊C4—24no—
1070C2×C22⋊C4—24no—
1071C2×C22⋊C4—24no—
1072C2×C22⋊C4—24no—
1073C2×C22⋊C4—24no—
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4—24no—
1076C2×C22⋊C4—28no—
1077C2×C22⋊C4—28no—
1078C2×C22⋊C4—48no—
1079C2×C22⋊C4—44no—
1080C2×C22⋊C4C2×D418yes—
1081C2×C22⋊C4C2×D418yes—
1082C2×C22⋊C4C2×D418yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C42—24no—
1154C2×C42—24no—
1155C2×C42—24no—
1156C2×C42—24no—
1157C2×C42—24no—
1158C2×C42—28no—
1159C2×C42—28no—
1160C2×C42—28no—
1161C2×C42—28no—
1162C2×C42C2×D418yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2414yes—
1166C2×C42C2414yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—22no—
1218C24—24no—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—22no—
1226C24—24no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—44no—
1234C24—44no—
1235C24—42no—
1236C24C22×D414yes—
1237C24C2512yes—
1238C24C2512yes—
1239C24C2512yes—
1240C24C2512yes—
1241C24C2512yes—
1242C24C2512yes—
1243C24C2511yescharacteristic
1244#41—816no—
1245#41—816no—
1246C2×Q8—28no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—28no—
1251C2×Q8—44no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×Q8—42no—
1257C2×Q8—416no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—416no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—416no—
1324C2×D4—416no—
1325C2×D4—816no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—28no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—28no—
1351C22×C4—28no—
1352C22×C4—24no—
1353C22×C4—28no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—44no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—416no—
1380C22×C4—416no—
1381C22×C4—44no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—416no—
1398C22×C4—416no—
1399C22×C4—416no—
1400C22×C4C22×D414yes—
1401C22×C4C22×D414yes—
1402C22×C4C22×D414yes—
1403C22×C4C22×D414yes—
1404C22×C4C22×D414yes—
1405C22×C4C22×D414yes—
1406C22×C4H(5,𝔽2)14yes—
1407C22×C4C2514yes—
1408C22×C4C2514yes—
1409C22×C4C2514yes—
1410C22×C4C2514yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2512yes—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—28no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—28no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4C22×D418yes—
1476C4⋊C4C22×D418yes—
1477C4⋊C4C22×D418yes—
1478C4⋊C4C22×D418yes—
1479C4⋊C4C22×D418yes—
1480C4⋊C4C22×D418yes—
1481C22⋊C4—28no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4C22×D418yes—
1546C22⋊C4C22×D418yes—
1547C22⋊C4C22×D418yes—
1548C22⋊C4C22×D418yes—
1549C22⋊C4C22×D418yes—
1550C22⋊C4C22×D418yes—
1551C42—24no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—28no—
1558C42—28no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—44no—
1563C42—44no—
1564C42—44no—
1565C42—44no—
1566C42—44no—
1567C42C22×D414yes—
1568C42C22×D414yes—
1569C42C22×D414yes—
1570C42C22×D414yes—
1571C23—22no—
1572C23—22no—
1573C23—28no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—24no—
1580C23—24no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—28no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—24no—
1594C23—24no—
1595C23—24no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—24no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—22no—
1604C23—22no—
1605C23—44no—
1606C23—44no—
1607C23—48no—
1608C23—48no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—44no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23—84no—
1621C23—88no—
1622C23—164no—
1623C23C23×D414yes—
1624C23C23×D412yes—
1625C23C2×H(5,𝔽2)12yes—
1626C23#58514yes—
1627C23#58512yes—
1628C23C2611yescharacteristic
1629Q8—416no—
1630Q8—82no—
1631Q8—84no—
1632Q8—84no—
1633D4—416no—
1634D4—416no—
1635D4—416no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—84no—
1640D4—82no—
1641D4—82no—
1642D4—82no—
1643D4—84no—
1644D4—84no—
1645D4—84no—
1646D4—84no—
1647D4—88no—
1648D4—88no—
1649D4—84no—
1650D4—84no—
1651D4—88no—
1652D4—84no—
1653D4—84no—
1654D4—88no—
1655D4—88no—
1656D4—164no—
1657C2×C4—28no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—28no—
1675C2×C4—28no—
1676C2×C4—28no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—24no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—48no—
1717C2×C4—416no—
1718C2×C4—48no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—416no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4C23×D412yes—
1738C2×C4C23×D414yes—
1739C2×C4C23×D414yes—
1740C2×C4C23×D412yes—
1741C2×C4C23×D412yes—
1742C2×C4C23×D412yes—
1743C2×C4C23×D412yes—
1744C2×C4C23×D412yes—
1745C2×C4C23×D414yes—
1746C2×C4C2×H(5,𝔽2)14yes—
1747C2×C4#58514yes—
1748C22—24no—
1749C22—22no—
1750C22—22no—
1751C22—24no—
1752C22—24no—
1753C22—24no—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—24no—
1758C22—416no—
1759C22—44no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—44no—
1766C22—44no—
1767C22—44no—
1768C22—44no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—44no—
1782C22—44no—
1783C22—44no—
1784C22—44no—
1785C22—88no—
1786C22—88no—
1787C22—168no—
1788C22#348814yes—
1789C22C24×D411yescharacteristic
1790C22C22×H(5,𝔽2)11yescharacteristic
1791C22C2×#58512yes—
1792C22C2×#58512yes—
1793C22C2×#58511yescharacteristic
1794C4—24no—
1795C4—22no—
1796C4—24no—
1797C4—22no—
1798C4—24no—
1799C4—22no—
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—24no—
1804C4—24no—
1805C4—44no—
1806C4—44no—
1807C4—44no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C2—24no—
1819C2—44no—
1820C2—44no—
1821C2—82no—
1822C2—82no—
1823C2—82no—
1824C2—82no—
1825C2#6274812yes—
1826C2C2×#348811yescharacteristic
1827C2#6281111yescharacteristic
1828C2#6281111yescharacteristic
1829C2#6282912yes—
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. C2×#3560C2semidirect
2. C22×#529C2semidirect
3. #59177C2semidirect
4. #59172C2semidirect
5. #45969C2semidirect
6. #45968C2semidirect
7. #39128C2semidirect
8. #38900C2semidirect
9. #38029C2semidirect
10. #38028C2semidirect
11. #37818C2semidirect
12. #37817C2semidirect
13. #37805C2semidirect
14. #37804C2semidirect
15. #37547C2semidirect
16. #37538C2semidirect
17. #36719C2semidirect
18. #36717C2semidirect
19. #36707C2semidirect
20. #36706C2semidirect
21. #36624C2semidirect
22. #36621C2semidirect
23. #36582C2semidirect
24. #36102C2semidirect
25. #36099C2semidirect
26. #36099C2semidirect
27. #35150C2semidirect
28. #35094C2semidirect
29. #35093C2semidirect
30. #35089C2semidirect
31. #34381C2semidirect
33. C2×#563C22semidirect
34. C2×#560C22semidirect
36. C2×#553C22semidirect
37. C2×#551C22semidirect
41. C2×#542C22semidirect
43. C2×#539C22semidirect
45. C2×#538C22semidirect
46. C2×#538C22semidirect
52. C2×#529C22semidirect
53. C2×#529C22semidirect
54. C2×#529C22semidirect
55. C2×#529C22semidirect
57. C22×#126C22semidirect
58. C22×#125C22semidirect
60. C2×#525C22semidirect
61. C2×#525C22semidirect
64. C22×#123C22semidirect
65. C22×C22⋊Q8C22semidirect
67. C22×C4×Q8C22semidirect
70. C22×C4×D4C22semidirect
72. C22×#117C22semidirect
73. C23×C42C22semidirect
74. #2857C22semidirect
75. #2856C22semidirect
76. #2855C22semidirect
80. #2854C22semidirect
81. #2854C22semidirect
82. #2854C22semidirect
83. #2853C22semidirect
84. #2852C22semidirect
85. #2851C22semidirect
86. #2850C22semidirect
87. #2850C22semidirect
89. #2849C22semidirect
90. #2849C22semidirect
91. #2848C22semidirect
94. #2847C22semidirect
95. #2847C22semidirect
96. #2823C22semidirect
97. #2821C22semidirect
98. #2818C22semidirect
99. #2713C22semidirect
100. #2712C22semidirect
101. #2711C22semidirect
102. #2707C22semidirect
103. #2705C22semidirect
104. #2704C22semidirect
105. #2704C22semidirect
108. #2702C22semidirect
109. #2700C22semidirect
110. #2694C22semidirect
111. #2693C22semidirect
112. #2692C22semidirect
113. #2692C22semidirect
114. #2691C22semidirect
115. #2687C22semidirect
116. #2683C22semidirect
117. #2682C22semidirect
118. #2681C22semidirect
119. #2678C22semidirect
120. #2676C22semidirect
121. #2676C22semidirect
122. #2676C22semidirect
123. #2676C22semidirect
124. #2675C22semidirect
125. #2673C22semidirect
126. #2671C22semidirect
127. #2671C22semidirect
128. #2670C22semidirect
131. #2664C22semidirect
132. #2662C22semidirect
133. #2662C22semidirect
134. #2637C22semidirect
135. #2636C22semidirect
136. #2636C22semidirect
137. #2627C22semidirect
138. #2626C22semidirect
139. #2623C22semidirect
144. #2618C22semidirect
147. #2617C22semidirect
148. #2617C22semidirect
149. #2603C22semidirect
150. #2603C22semidirect
151. #2601C22semidirect
153. #2591C22semidirect
154. #2579C22semidirect
155. #2579C22semidirect
156. #2558C22semidirect
157. #2557C22semidirect
158. #2557C22semidirect
159. #2556C22semidirect
160. #2555C22semidirect
161. #2554C22semidirect
162. #2539C22semidirect
163. #2539C22semidirect
164. #2534C22semidirect
165. #2534C22semidirect
166. #2479C22semidirect
167. #2478C22semidirect
168. #2477C22semidirect
169. #2476C22semidirect
170. #2475C22semidirect
171. #2474C22semidirect
172. #2473C22semidirect
173. #2472C22semidirect
174. #2471C22semidirect
175. #2471C22semidirect
176. #2470C22semidirect
177. #2469C22semidirect
178. #2469C22semidirect
179. #2464C22semidirect
180. #2464C22semidirect
181. #2464C22semidirect
182. #2463C22semidirect
183. #2463C22semidirect
184. #2461C22semidirect
185. #2461C22semidirect
186. #2460C22semidirect
187. #2459C22semidirect
188. #2458C22semidirect
189. #2458C22semidirect
190. #2457C22semidirect
191. #2456C22semidirect
192. #2456C22semidirect
193. #2456C22semidirect
194. #2456C22semidirect
195. #2456C22semidirect
196. #2455C22semidirect
197. #2455C22semidirect
198. #2453C22semidirect
199. #2452C22semidirect
200. #2449C22semidirect
201. #2449C22semidirect
202. #2445C22semidirect
203. #2436C22semidirect
205. #2428C22semidirect
206. #2426C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2418C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2413C22semidirect
215. #2413C22semidirect
216. #2413C22semidirect
217. #2413C22semidirect
218. #2411C22semidirect
219. #2411C22semidirect
220. #2411C22semidirect
221. #2411C22semidirect
224. #2409C22semidirect
225. #2408C22semidirect
226. #2406C22semidirect
227. #2406C22semidirect
228. #2404C22semidirect
229. #2404C22semidirect
232. #2383C22semidirect
233. #2373C22semidirect
234. #2367C22semidirect
235. #2366C22semidirect
236. #2362C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
240. #2358C22semidirect
241. #2358C22semidirect
242. #2345C22semidirect
243. #2344C22semidirect
246. #2334C22semidirect
247. #2334C22semidirect
248. #2322C22semidirect
249. #2321C22semidirect
250. #2316C22semidirect
252. #2313C22semidirect
254. #2311C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×#123C22semidirect
258. C4×#123C22semidirect
259. C4×#123C22semidirect
260. C4×#121C22semidirect
261. C4×#121C22semidirect
262. C4×#121C22semidirect
263. C4×#121C22semidirect
264. C4×#120C22semidirect
265. #2297C22semidirect
266. #2290C22semidirect
267. #2285C22semidirect
268. #2283C22semidirect
308. C2×#126D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35602
C22×#5292
#591772
#591722
#459692
#459682
#391282
#389002
#380292
#380282
#378182
#378172
#378052
#378042
#375472
#375382
#367192
#367172
#367072
#367062
#366242
#366212
#365822
#361022
#360992
#351502
#350942
#350932
#350892
#343812