Finite Group Databasebeta

← #7710125

Subgroups — #7710125

Order 512.

7394 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#59186C214yesmaximal, complemented
4#59185C214yesmaximal, complemented
5#46130C214yesmaximal, complemented
6#45968C214yesmaximal, complemented
7#39716C212yesmaximal, complemented
8#39332C212yesmaximal, complemented
9#37817C214yesmaximal, complemented
10#37816C214yesmaximal, complemented
11#37738C214yesmaximal, complemented
12#37737C214yesmaximal, complemented
13#37655C212yesmaximal, complemented
14#37654C212yesmaximal, complemented
15#37547C211yesmaximal, characteristic, complemented
16#37538C211yesmaximal, characteristic, complemented
17#36968C211yesmaximal, characteristic, complemented
18#36967C211yesmaximal, characteristic, complemented
19#36958C211yesmaximal, characteristic, complemented
20#36957C211yesmaximal, characteristic, complemented
21#36624C211yesmaximal, characteristic, complemented
22#36621C211yesmaximal, characteristic, complemented
23#36517C212yesmaximal, complemented
24#36422C212yesmaximal, complemented
25#36340C212yesmaximal, complemented
26#36316C212yesmaximal, complemented
27#35168C211yesmaximal, characteristic, complemented
28#35091C211yesmaximal, characteristic, complemented
29#34987C211yesmaximal, characteristic, complemented
30#34984C211yesmaximal, 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×#535C2212yescomplemented
49C2×#534C2211yescharacteristic
50C2×#534C2212yes—
51C2×#532C2211yescharacteristic
52C2×#529—216no—
53C2×#529C2211yescharacteristic
54C2×#529C2214yescomplemented
55C2×#529C2214yescomplemented
56C2×#529C2214yescomplemented
57C2×#529C2214yescomplemented
58C22×#126C2211yescharacteristic
59C22×#126C2211yescharacteristic, complemented
60C22×#125C2211yescharacteristic, complemented
61C22×#124C2211yescharacteristic
62C2×#525C2212yescomplemented
63C22×#123C2211yescharacteristic
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#2854C2211yescharacteristic
78#2854C2211yescharacteristic
79#2854C2212yes—
80#2854C2211yescharacteristic, complemented
81#2854C2212yescomplemented
82#2853C2212yescomplemented
83#2853C2212yescomplemented
84#2852C2214yescomplemented
85#2851C2212yescomplemented
86#2850C2212yescomplemented
87#2850C2214yescomplemented
88#2849C2212yes—
89#2849C2212yescomplemented
90#2848C2211yescharacteristic, complemented
91#2847C2211yescharacteristic
92#2847C2211yescharacteristic
93#2847C2211yescharacteristic, complemented
94#2847C2212yescomplemented
95#2847C2212yescomplemented
96#2823C2214yescomplemented
97#2821C2212yescomplemented
98#2818C2212yescomplemented
99#2726C2214yescomplemented
100#2725C2214yescomplemented
101#2720C2214yescomplemented
102#2720C2214yescomplemented
103#2715C2214yescomplemented
104#2712C2214yescomplemented
105#2711C2214yescomplemented
106#2711C2214yescomplemented
107#2710C2214yescomplemented
108#2710C2214yescomplemented
109#2707C2214yescomplemented
110#2704C2214yescomplemented
111#2702C2214yescomplemented
112#2690C2214yescomplemented
113#2682C2214yescomplemented
114#2681C2214yescomplemented
115#2681C2214yescomplemented
116#2680C2214yescomplemented
117#2678C2214yescomplemented
118#2676C2214yescomplemented
119#2676C2214yescomplemented
120#2675C2214yes—
121#2674C2214yescomplemented
122#2673C2214yescomplemented
123#2672C2214yescomplemented
124#2672C2214yescomplemented
125#2672C2214yescomplemented
126#2671C2214yes—
127#2671C2214yescomplemented
128#2670C2214yescomplemented
129#2670C2214yescomplemented
130#2669C2214yescomplemented
131#2664C2212yescomplemented
132#2662C2214yescomplemented
133#2662C2212yescomplemented
134#2637C2212yescomplemented
135#2636C2212yescomplemented
136#2636C2214yescomplemented
137#2627C2211yescharacteristic, complemented
138#2626C2211yescharacteristic, complemented
139#2618C2211yescharacteristic
140#2618C2211yescharacteristic
141#2618C2211yescharacteristic, complemented
142#2617C2212yes—
143#2617C2211yescharacteristic
144#2617C2211yescharacteristic
145#2617C2212yescomplemented
146#2617C2211yescharacteristic, complemented
147#2613C2212yes—
148#2613C2212yescomplemented
149#2603C2212yescomplemented
150#2603C2212yescomplemented
151#2601C2214yescomplemented
152#2591C2212yescomplemented
153#2591C2212yescomplemented
154#2579C2212yescomplemented
155#2579C2212yescomplemented
156#2560C2214yescomplemented
157#2555C2214yes—
158#2539C2212yes—
159#2539C2212yescomplemented
160#2534C2212yescomplemented
161#2534C2212yescomplemented
162#2501C2212yescomplemented
163#2486C2212yescomplemented
164#2479C2214yescomplemented
165#2479C2214yescomplemented
166#2477C2214yescomplemented
167#2476C2214yescomplemented
168#2476C2214yescomplemented
169#2474C2214yescomplemented
170#2471C2214yescomplemented
171#2471C2214yescomplemented
172#2470C2214yescomplemented
173#2468C2214yescomplemented
174#2467C2214yescomplemented
175#2465C2214yescomplemented
176#2465C2214yescomplemented
177#2464C2214yescomplemented
178#2464C2214yescomplemented
179#2464C2214yescomplemented
180#2464C2214yescomplemented
181#2463C2214yescomplemented
182#2463C2214yescomplemented
183#2461C2214yescomplemented
184#2461C2214yescomplemented
185#2461C2214yescomplemented
186#2460C2214yescomplemented
187#2459C2214yescomplemented
188#2458C2214yescomplemented
189#2458C2214yescomplemented
190#2457C2214yescomplemented
191#2457C2214yescomplemented
192#2456C2214yescomplemented
193#2456C2214yescomplemented
194#2456C2214yescomplemented
195#2455C2214yescomplemented
196#2451C2214yescomplemented
197#2450C2214yescomplemented
198#2445C2214yescomplemented
199#2443C2214yescomplemented
200#2441C2214yescomplemented
201#2438C2214yescomplemented
202#2436C2212yes—
203#2428C2214yes—
204#2428C2214yescomplemented
205#2428C2214yescomplemented
206#2427C2214yescomplemented
207#2427C2214yescomplemented
208#2426C2214yescomplemented
209#2425C2214yescomplemented
210#2425C2214yescomplemented
211#2424C2214yescomplemented
212#2424C2214yescomplemented
213#2424C2214yescomplemented
214#2424C2214yescomplemented
215#2422C2214yescomplemented
216#2418C2214yescomplemented
217#2414C2214yescomplemented
218#2413C2212yescomplemented
219#2413C2212yescomplemented
220#2413C2212yescomplemented
221#2412C2212yes—
222#2411C2212yescomplemented
223#2411C2214yescomplemented
224#2410C2212yes—
225#2409C2212yescomplemented
226#2406C2212yescomplemented
227#2406C2212yescomplemented
228#2406C2212yescomplemented
229#2405C2212yes—
230#2404C2212yescomplemented
231#2403C2212yes—
232#2383C2214yescomplemented
233#2373C2214yescomplemented
234#2367C2214yescomplemented
235#2364C2214yescomplemented
236#2363C2214yescomplemented
237#2360C2214yescomplemented
238#2359C2214yescomplemented
239#2358C2214yescomplemented
240#2354C2214yescomplemented
241#2345C2212yescomplemented
242#2344C2212yescomplemented
243#2342C2212yes—
244#2342C2212yes—
245#2342C2214yescomplemented
246#2334C2214yescomplemented
247#2334C2214yescomplemented
248#2321C2212yescomplemented
249#2321C2212yescomplemented
250#2316C2211yescharacteristic, complemented
251#2315C2211yescharacteristic
252#2313C2211yescharacteristic, complemented
253#2312C2211yescharacteristic
254C4×C22⋊Q8C2212yescomplemented
255C4×#123C2212yescomplemented
256C4×#123C2212yescomplemented
257C4×#121C2212yescomplemented
258C4×#121C2212yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2214yescomplemented
261C4×#120C2212yescomplemented
262C4×#120C2212yescomplemented
263#2297C2212yescomplemented
264#2297C2212yescomplemented
265#2290C2214yescomplemented
266C2×#386C2212yes—
267#2285C2211yescharacteristic, complemented
268#2283C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2312yes—
271C23×Q8C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C23×D4C2311yescharacteristic
275C23×D4C2312yes—
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#535—48no—
297#534—28no—
298#534—48no—
299#532—28no—
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2312yes—
302C2×#127C2311yescharacteristic
303C2×#127C2314yes—
304#529—232no—
305#529—232no—
306#529—232no—
307#529—232no—
308#529—28no—
309C2×#126—28no—
310C2×#126D4116yescomplemented
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#125—28no—
325C2×#125C2311yescharacteristic
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#124—28no—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340#525—48no—
341C2×#123—28no—
342C2×#123—28no—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2314yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2312yes—
365C2×#123C2312yes—
366C2×#123C2314yes—
367C2×C22⋊Q8—28no—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
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×#121C2314yes—
409C2×#121C2314yes—
410C2×#120C2312yes—
411C2×#120C2312yes—
412C2×#120C2312yes—
413C2×#120C2312yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2312yes—
417C2×#120C2312yes—
418C2×#120C2312yes—
419C2×#120C2312yes—
420C2×#120C2312yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×C4×Q8—28no—
424C2×C4×Q8C2314yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2314yes—
427C2×C4×D4—28no—
428C2×C4×D4—28no—
429C2×C4×D4—28no—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2314yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
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×C4×D4C2314yes—
451C2×#117—28no—
452C2×#117—28no—
453C2×#117C2314yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2314yes—
457C2×#117C2314yes—
458C2×#117C2314yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2312yes—
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2311yescharacteristic
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2311yescharacteristic
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#400C2312yes—
500#399C2314yes—
501#399C2312yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#398C2314yes—
506#398C2312yes—
507#398C2312yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#397C2314yes—
516#397C2312yes—
517#397C2312yes—
518#397C2312yes—
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#395C2314yes—
535#395C2312yes—
536#395C2314yes—
537#395C2314yes—
538#395C2314yes—
539#394C2314yes—
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#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2312yes—
568#393C2314yes—
569#393C2314yes—
570#392C2312yes—
571#392C2312yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2312yes—
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#390C2314yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#388C2314yes—
620#388C2314yes—
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#387C2314yes—
653#387C2314yes—
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#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
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#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#384C2312yes—
726#384C2314yes—
727#383C2312yes—
728#382C2312yes—
729#382C2312yes—
730#381C2312yes—
731#381C2314yes—
732#381C2312yes—
733#381C2312yes—
734#381C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#379C2312yes—
751#379C2312yes—
752#379C2314yes—
753#379C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C22⋊C4C2314yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774#376C2312yes—
775C2×#95C2314yes—
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—24no—
795C22×D4—24no—
796C22×D4—28no—
797C22×D4—24no—
798C22×D4—44no—
799C22×D4—42no—
800C22×D4—42no—
801C22×D4—44no—
802C22×D4—44no—
803C22×D4C2412yes—
804C22×D4C2412yes—
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2412yes—
810C22×D4C2411yescharacteristic
811C22×D4C2414yes—
812C22×D4C2412yes—
813C22×D4C2411yescharacteristic
814C22×D4C2412yes—
815C22×D4C2414yes—
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2414yes—
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C23×C4—24no—
828C23×C4—24no—
829C23×C4—24no—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4—24no—
833C23×C4—44no—
834C23×C4—44no—
835C23×C4—44no—
836C23×C4—44no—
837C23×C4—42no—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
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#124—48no—
898#123—28no—
899#123—28no—
900#123—216no—
901#123—216no—
902#123—28no—
903#123—28no—
904#123—28no—
905#123—28no—
906#123—28no—
907#123—216no—
908#123—216no—
909#123—28no—
910#123—28no—
911#123—28no—
912#123—28no—
913#123—28no—
914#123—48no—
915#123—48no—
916#123—44no—
917#123—44no—
918#123—44no—
919#123—44no—
920#123—44no—
921#123—44no—
922C22⋊Q8—24no—
923C22⋊Q8—216no—
924C22⋊Q8—216no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8—28no—
932C22⋊Q8—48no—
933C22⋊Q8—48no—
934C22⋊Q8—44no—
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—48no—
955#121—48no—
956#121—44no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#120—28no—
964#120—28no—
965#120—28no—
966#120—28no—
967#120—28no—
968#120—28no—
969#120—28no—
970#120—28no—
971#120—48no—
972#120—44no—
973#120—44no—
974#120—44no—
975#120—48no—
976C4×Q8—216no—
977C4×Q8—216no—
978C4×Q8—24no—
979C4×D4—28no—
980C4×D4—28no—
981C4×D4—28no—
982C4×D4—216no—
983C4×D4—216no—
984C4×D4—28no—
985C4×D4—28no—
986C4×D4—216no—
987C4×D4—216no—
988C4×D4—216no—
989C4×D4—216no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—24no—
993C4×D4—28no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—48no—
997C4×D4—48no—
998C4×D4—48no—
999C4×D4—48no—
1000#117—216no—
1001#117—216no—
1002#117—28no—
1003#117—216no—
1004#117—216no—
1005#117—28no—
1006#117—44no—
1007#117—44no—
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—24no—
1015C2×C4⋊C4—28no—
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⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
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#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
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#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—24no—
1225C24—42no—
1226C24—42no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—44no—
1233C24—44no—
1234C24—42no—
1235C24C22×D414yes—
1236C24H(5,𝔽2)14yes—
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—28no—
1268C2×D4—24no—
1269C2×D4—24no—
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—416no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
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—24no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—28no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—28no—
1353C22×C4—28no—
1354C22×C4—24no—
1355C22×C4—28no—
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—24no—
1365C22×C4—24no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—42no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—42no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—416no—
1397C22×C4—416no—
1398C22×C4—416no—
1399C22×C4—416no—
1400C22×C4—416no—
1401C22×C4C22×D414yes—
1402C22×C4C22×D414yes—
1403C22×C4C22×D414yes—
1404C22×C4C22×D414yes—
1405C22×C4C22×D414yes—
1406C22×C4C22×D414yes—
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×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
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—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
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—28no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
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—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
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—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—28no—
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—24no—
1597C23—24no—
1598C23—24no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—24no—
1603C23—24no—
1604C23—22no—
1605C23—48no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—48no—
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)14yes—
1626C23C2×H(5,𝔽2)12yes—
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—84no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—84no—
1645D4—84no—
1646D4—84no—
1647D4—84no—
1648D4—84no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—84no—
1653D4—84no—
1654D4—88no—
1655D4—164no—
1656D4—164no—
1657C2×C4—28no—
1658C2×C4—28no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
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—22no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—24no—
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—416no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—416no—
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—164no—
1737C2×C4C23×D412yes—
1738C2×C4C23×D414yes—
1739C2×C4C23×D412yes—
1740C2×C4C23×D412yes—
1741C2×C4C23×D412yes—
1742C2×C4C23×D412yes—
1743C2×C4C23×D412yes—
1744C2×C4C23×D414yes—
1745C2×C4C23×D414yes—
1746C2×C4#58514yes—
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—42no—
1760C22—42no—
1761C22—44no—
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×#58511yescharacteristic
1792C22C2×#58512yes—
1793C22C2×#58512yes—
1794C4—22no—
1795C4—22no—
1796C4—24no—
1797C4—24no—
1798C4—24no—
1799C4—22no—
1800C4—24no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—24no—
1805C4—44no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—44no—
1816C4—44no—
1817C4—44no—
1818C2—24no—
1819C2—44no—
1820C2—44no—
1821C2—82no—
1822C2—82no—
1823C2—82no—
1824C2—82no—
1825C2#6274312yes—
1826C2C2×#348811yescharacteristic
1827C2#6281111yescharacteristic
1828C2#6281111yescharacteristic
1829C2#6282212yes—
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. #59186C2semidirect
4. #59185C2semidirect
5. #46130C2semidirect
6. #45968C2semidirect
7. #39716C2semidirect
8. #39332C2semidirect
9. #37817C2semidirect
10. #37816C2semidirect
11. #37738C2semidirect
12. #37737C2semidirect
13. #37655C2semidirect
14. #37654C2semidirect
15. #37547C2semidirect
16. #37538C2semidirect
17. #36968C2semidirect
18. #36967C2semidirect
19. #36958C2semidirect
20. #36957C2semidirect
21. #36624C2semidirect
22. #36621C2semidirect
23. #36517C2semidirect
24. #36422C2semidirect
25. #36340C2semidirect
26. #36316C2semidirect
27. #35168C2semidirect
28. #35091C2semidirect
29. #34987C2semidirect
30. #34984C2semidirect
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
48. C2×#535C22semidirect
54. C2×#529C22semidirect
55. C2×#529C22semidirect
56. C2×#529C22semidirect
57. C2×#529C22semidirect
59. C22×#126C22semidirect
60. C22×#125C22semidirect
62. 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. #2853C22semidirect
83. #2853C22semidirect
84. #2852C22semidirect
85. #2851C22semidirect
86. #2850C22semidirect
87. #2850C22semidirect
89. #2849C22semidirect
90. #2848C22semidirect
93. #2847C22semidirect
94. #2847C22semidirect
95. #2847C22semidirect
96. #2823C22semidirect
97. #2821C22semidirect
98. #2818C22semidirect
99. #2726C22semidirect
100. #2725C22semidirect
101. #2720C22semidirect
102. #2720C22semidirect
103. #2715C22semidirect
104. #2712C22semidirect
105. #2711C22semidirect
106. #2711C22semidirect
107. #2710C22semidirect
108. #2710C22semidirect
109. #2707C22semidirect
110. #2704C22semidirect
111. #2702C22semidirect
112. #2690C22semidirect
113. #2682C22semidirect
114. #2681C22semidirect
115. #2681C22semidirect
116. #2680C22semidirect
117. #2678C22semidirect
118. #2676C22semidirect
119. #2676C22semidirect
121. #2674C22semidirect
122. #2673C22semidirect
123. #2672C22semidirect
124. #2672C22semidirect
125. #2672C22semidirect
127. #2671C22semidirect
128. #2670C22semidirect
129. #2670C22semidirect
130. #2669C22semidirect
131. #2664C22semidirect
132. #2662C22semidirect
133. #2662C22semidirect
134. #2637C22semidirect
135. #2636C22semidirect
136. #2636C22semidirect
137. #2627C22semidirect
138. #2626C22semidirect
141. #2618C22semidirect
145. #2617C22semidirect
146. #2617C22semidirect
148. #2613C22semidirect
149. #2603C22semidirect
150. #2603C22semidirect
151. #2601C22semidirect
152. #2591C22semidirect
153. #2591C22semidirect
154. #2579C22semidirect
155. #2579C22semidirect
156. #2560C22semidirect
159. #2539C22semidirect
160. #2534C22semidirect
161. #2534C22semidirect
162. #2501C22semidirect
163. #2486C22semidirect
164. #2479C22semidirect
165. #2479C22semidirect
166. #2477C22semidirect
167. #2476C22semidirect
168. #2476C22semidirect
169. #2474C22semidirect
170. #2471C22semidirect
171. #2471C22semidirect
172. #2470C22semidirect
173. #2468C22semidirect
174. #2467C22semidirect
175. #2465C22semidirect
176. #2465C22semidirect
177. #2464C22semidirect
178. #2464C22semidirect
179. #2464C22semidirect
180. #2464C22semidirect
181. #2463C22semidirect
182. #2463C22semidirect
183. #2461C22semidirect
184. #2461C22semidirect
185. #2461C22semidirect
186. #2460C22semidirect
187. #2459C22semidirect
188. #2458C22semidirect
189. #2458C22semidirect
190. #2457C22semidirect
191. #2457C22semidirect
192. #2456C22semidirect
193. #2456C22semidirect
194. #2456C22semidirect
195. #2455C22semidirect
196. #2451C22semidirect
197. #2450C22semidirect
198. #2445C22semidirect
199. #2443C22semidirect
200. #2441C22semidirect
201. #2438C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2427C22semidirect
207. #2427C22semidirect
208. #2426C22semidirect
209. #2425C22semidirect
210. #2425C22semidirect
211. #2424C22semidirect
212. #2424C22semidirect
213. #2424C22semidirect
214. #2424C22semidirect
215. #2422C22semidirect
216. #2418C22semidirect
217. #2414C22semidirect
218. #2413C22semidirect
219. #2413C22semidirect
220. #2413C22semidirect
222. #2411C22semidirect
223. #2411C22semidirect
225. #2409C22semidirect
226. #2406C22semidirect
227. #2406C22semidirect
228. #2406C22semidirect
230. #2404C22semidirect
232. #2383C22semidirect
233. #2373C22semidirect
234. #2367C22semidirect
235. #2364C22semidirect
236. #2363C22semidirect
237. #2360C22semidirect
238. #2359C22semidirect
239. #2358C22semidirect
240. #2354C22semidirect
241. #2345C22semidirect
242. #2344C22semidirect
245. #2342C22semidirect
246. #2334C22semidirect
247. #2334C22semidirect
248. #2321C22semidirect
249. #2321C22semidirect
250. #2316C22semidirect
252. #2313C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×#123C22semidirect
256. C4×#123C22semidirect
257. C4×#121C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. C4×#120C22semidirect
262. C4×#120C22semidirect
263. #2297C22semidirect
264. #2297C22semidirect
265. #2290C22semidirect
267. #2285C22semidirect
268. #2283C22semidirect
310. 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
#591862
#591852
#461302
#459682
#397162
#393322
#378172
#378162
#377382
#377372
#376552
#376542
#375472
#375382
#369682
#369672
#369582
#369572
#366242
#366212
#365172
#364222
#363402
#363162
#351682
#350912
#349872
#349842
#343812