Finite Group Databasebeta

← #7709361

Subgroups — #7709361

Order 512.

7480 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3534C211yesmaximal, characteristic, complemented
2C22×#529C211yesmaximal, characteristic, complemented
3#59108C214yesmaximal, complemented
4#59091C214yesmaximal, complemented
5#45770C214yesmaximal, complemented
6#45769C214yesmaximal, complemented
7#39717C212yesmaximal, complemented
8#39333C212yesmaximal, complemented
9#37791C214yesmaximal, complemented
10#37778C214yesmaximal, complemented
11#37734C214yesmaximal, complemented
12#37733C214yesmaximal, complemented
13#37647C212yesmaximal, complemented
14#37646C212yesmaximal, complemented
15#37452C211yesmaximal, characteristic, complemented
16#37440C211yesmaximal, characteristic, complemented
17#36971C211yesmaximal, characteristic, complemented
18#36969C211yesmaximal, characteristic, complemented
19#36961C211yesmaximal, characteristic, complemented
20#36960C211yesmaximal, characteristic, complemented
21#36626C211yesmaximal, characteristic, complemented
22C2×#2854C211yesmaximal, characteristic, complemented
23#36517C212yesmaximal, complemented
24#36340C212yesmaximal, complemented
25#36316C212yesmaximal, complemented
26#36236C212yesmaximal, complemented
27#35153C211yesmaximal, characteristic, complemented
28#35092C211yesmaximal, characteristic, complemented
29#34986C211yesmaximal, characteristic, complemented
30#34984C211yesmaximal, characteristic, complemented
31#34376C211yesmaximal, characteristic, complemented
32#3534—216no—
33C2×#562C2212yescomplemented
34C2×#560C2212yescomplemented
35C2×#553C2212yes—
36C2×#551C2212yescomplemented
37C2×#546C2212yes—
38C2×#546C2212yes—
39C2×#546C2212yescomplemented
40C2×D42C2212yes—
41C2×#540C2212yescomplemented
42C2×#539C2211yescharacteristic
43C2×#539C2212yescomplemented
44C2×#538C2211yescharacteristic
45C2×#538C2212yescomplemented
46C2×#537C2211yescharacteristic
47C2×#536C2212yescomplemented
48C2×#534C2211yescharacteristic
49C2×#534C2212yescomplemented
50C2×#534C2212yescomplemented
51C2×#529—216no—
52C2×#529C2214yescomplemented
53C2×#529C2214yescomplemented
54C2×#529C2214yescomplemented
55C2×#529C2214yescomplemented
56C22×#126C2211yescharacteristic, complemented
57C22×#126C2211yescharacteristic, complemented
58C22×#125C2211yescharacteristic, complemented
59C22×#124C2211yescharacteristic, complemented
60C2×#525C2211yescharacteristic
61C22×#123C2211yescharacteristic
62C22×#123C2211yescharacteristic, complemented
63C22×#123C2212yescomplemented
64C22×C22⋊Q8C2211yescharacteristic, complemented
65C22×#121C2211yescharacteristic
66C22×#121C2211yescharacteristic
67C22×C4×Q8C2211yescharacteristic, complemented
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic, complemented
70C22×C4×D4C2211yescharacteristic, complemented
71C22×#117C2211yescharacteristic, complemented
72C22×#117C2211yescharacteristic, complemented
73C23×C42C2211yescharacteristic, complemented
74#2855C2211yescharacteristic, complemented
75#2855C2211yescharacteristic, complemented
76#2855C2212yescomplemented
77#2854C2211yescharacteristic
78#2854C2211yescharacteristic
79#2854C2212yescomplemented
80#2854C2211yescharacteristic, complemented
81#2854C2211yescharacteristic, complemented
82#2854C2212yescomplemented
83#2854C2212yescomplemented
84#2854C2212yescomplemented
85#2854C2214yescomplemented
86#2854C2211yescharacteristic, complemented
87#2854C2211yescharacteristic, complemented
88#2854C2212yescomplemented
89#2854C2212yescomplemented
90#2853C2214yescomplemented
91#2853C2212yescomplemented
92#2849C2212yescomplemented
93#2849C2212yescomplemented
94#2849C2212yescomplemented
95#2847C2212yescomplemented
96#2814C2212yescomplemented
97#2813C2214yescomplemented
98#2813C2212yescomplemented
99#2727C2214yescomplemented
100#2725C2214yescomplemented
101#2725C2214yescomplemented
102#2723C2214yescomplemented
103#2723C2214yescomplemented
104#2722C2214yescomplemented
105#2719C2214yescomplemented
106#2718C2214yescomplemented
107#2718C2214yescomplemented
108#2715C2214yescomplemented
109#2714C2214yescomplemented
110#2714C2214yescomplemented
111#2711C2214yescomplemented
112#2707C2214yescomplemented
113#2705C2214yescomplemented
114#2702C2214yescomplemented
115#2695C2214yescomplemented
116#2691C2214yescomplemented
117#2685C2214yescomplemented
118#2685C2214yescomplemented
119#2682C2214yescomplemented
120#2681C2214yescomplemented
121#2680C2214yescomplemented
122#2678C2214yescomplemented
123#2676C2214yescomplemented
124#2674C2214yescomplemented
125#2674C2214yescomplemented
126#2673C2214yescomplemented
127#2672C2214yescomplemented
128#2672C2214yescomplemented
129#2671C2214yescomplemented
130#2670C2214yescomplemented
131#2661C2212yescomplemented
132#2661C2212yescomplemented
133#2630C2214yescomplemented
134#2627C2211yescharacteristic, complemented
135#2626C2211yescharacteristic, complemented
136#2623C2212yescomplemented
137#2618C2211yescharacteristic
138#2618C2212yescomplemented
139#2618C2212yescomplemented
140#2618C2211yescharacteristic, complemented
141#2618C2211yescharacteristic, complemented
142#2618C2214yescomplemented
143#2617C2211yescharacteristic
144#2617C2211yescharacteristic, complemented
145#2617C2211yescharacteristic, complemented
146#2614C2212yescomplemented
147#2613C2212yescomplemented
148#2613C2212yescomplemented
149#2591C2212yescomplemented
150#2591C2212yescomplemented
151#2579C2212yescomplemented
152#2579C2212yescomplemented
153#2558C2214yescomplemented
154#2555C2214yescomplemented
155#2539C2212yescomplemented
156#2539C2212yescomplemented
157#2534C2212yescomplemented
158#2534C2212yescomplemented
159#2519C2214yescomplemented
160#2504C2212yescomplemented
161#2501C2212yescomplemented
162#2498C2212yescomplemented
163#2491C2214yescomplemented
164#2487C2212yescomplemented
165#2486C2212yescomplemented
166#2479C2214yescomplemented
167#2479C2214yescomplemented
168#2476C2214yescomplemented
169#2476C2214yescomplemented
170#2475C2214yescomplemented
171#2474C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2471C2214yescomplemented
175#2471C2214yescomplemented
176#2470C2214yescomplemented
177#2469C2214yescomplemented
178#2466C2214yescomplemented
179#2465C2214yescomplemented
180#2464C2214yescomplemented
181#2462C2214yescomplemented
182#2461C2214yescomplemented
183#2460C2214yescomplemented
184#2459C2214yescomplemented
185#2459C2214yescomplemented
186#2458C2214yescomplemented
187#2457C2214yescomplemented
188#2456C2214yescomplemented
189#2456C2214yescomplemented
190#2455C2214yescomplemented
191#2450C2214yescomplemented
192#2449C2214yescomplemented
193#2445C2214yescomplemented
194#2444C2214yescomplemented
195#2444C2214yescomplemented
196#2443C2214yescomplemented
197#2441C2214yescomplemented
198#2440C2214yescomplemented
199#2438C2214yescomplemented
200#2437C2214yescomplemented
201#2430C2212yescomplemented
202#2429C2214yescomplemented
203#2429C2214yescomplemented
204#2426C2214yescomplemented
205#2426C2214yescomplemented
206#2425C2214yescomplemented
207#2425C2214yescomplemented
208#2424C2214yes—
209#2424C2214yescomplemented
210#2424C2214yescomplemented
211#2424C2214yescomplemented
212#2420C2214yescomplemented
213#2418C2214yescomplemented
214#2418C2214yescomplemented
215#2416C2214yes—
216#2414C2214yescomplemented
217#2413C2212yescomplemented
218#2412C2212yescomplemented
219#2412C2212yescomplemented
220#2412C2212yescomplemented
221#2411C2214yescomplemented
222#2411C2212yescomplemented
223#2411C2214yescomplemented
224#2410C2212yescomplemented
225#2410C2214yescomplemented
226#2406C2212yescomplemented
227#2405C2212yescomplemented
228#2405C2212yescomplemented
229#2405C2212yescomplemented
230#2404C2212yescomplemented
231#2403C2212yescomplemented
232#2376C2214yescomplemented
233#2364C2214yescomplemented
234#2363C2214yescomplemented
235#2359C2214yescomplemented
236#2359C2214yescomplemented
237#2358C2214yescomplemented
238#2354C2214yescomplemented
239#2349C2214yescomplemented
240#2345C2212yescomplemented
241#2342C2212yescomplemented
242#2342C2212yescomplemented
243#2342C2214yescomplemented
244D4×C22⋊C4C2212yes—
245D4×C22⋊C4C2214yescomplemented
246#2335C2214yescomplemented
247#2322C2212yescomplemented
248#2322C2212yescomplemented
249#2322C2214yescomplemented
250#2316C2211yescharacteristic, complemented
251#2315C2211yescharacteristic, complemented
252#2313C2211yescharacteristic, complemented
253#2312C2211yescharacteristic, complemented
254C4×#123C2212yescomplemented
255C4×#123C2214yescomplemented
256C4×#123C2212yescomplemented
257C4×#123C2212yescomplemented
258C4×#120C2212yescomplemented
259#2297C2212yescomplemented
260#2297C2212yescomplemented
261#2296C2212yescomplemented
262C2×#390C2212yescomplemented
263C2×#389C2212yescomplemented
264C2×#388C2214yescomplemented
265C2×#386C2212yescomplemented
266C2×#386C2212yescomplemented
267#2280C2211yescharacteristic, complemented
268C2×#380C2211yescharacteristic, complemented
269C22×#41C2312yes—
270C22×#41C2311yescharacteristic
271C23×Q8C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2312yes—
274C23×D4C2311yescharacteristic
275C23×D4C2311yescharacteristic
276C23×D4C2312yes—
277C23×D4C2312yes—
278C23×D4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281C24×C4C2311yescharacteristic
282C24×C4C2311yescharacteristic
283C24×C4C2311yescharacteristic
284#562—216no—
285#560—216no—
286#553—216no—
287#551—216no—
288#546—216no—
289#546—216no—
290#546—216no—
291D42—216no—
292#540—216no—
293#539—216no—
294#539—28no—
295#538—216no—
296#538—28no—
297#537—28no—
298#536—48no—
299#534—216no—
300#534—28no—
301#534—48no—
302C2×C4⋊Q8C2314yes—
303C2×#127C2312yes—
304#529—232no—
305#529—232no—
306#529—232no—
307#529—232no—
308C2×#126—28no—
309C2×#126—28no—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#125—28no—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124—28no—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330#525—28no—
331C2×#123—28no—
332C2×#123—48no—
333C2×#123D4116yescomplemented
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×#123C2314yes—
362C2×#123C2312yes—
363C2×#123C2312yes—
364C2×#123C2312yes—
365C2×#123C2312yes—
366C2×C22⋊Q8—28no—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×#121—28no—
379C2×#121—28no—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2311yescharacteristic
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×#120C2312yes—
410C2×#120C2312yes—
411C2×#120C2312yes—
412C2×#120C2312yes—
413C2×#120C2312yes—
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2312yes—
417C2×#120C2314yes—
418C2×#120C2312yes—
419C2×#120C2314yes—
420C2×C4×Q8—28no—
421C2×C4×Q8C2314yes—
422C2×C4×Q8C2314yes—
423C2×C4×D4—28no—
424C2×C4×D4—28no—
425C2×C4×D4—28no—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×#117—28no—
443C2×#117—28no—
444C2×#117C2314yes—
445C2×#117C2312yes—
446C2×#117C2314yes—
447C2×#117C2314yes—
448C2×#117C2314yes—
449C2×#117C2311yescharacteristic
450C2×#117C2312yes—
451C2×#117C2312yes—
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2314yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2311yescharacteristic
468C22×C22⋊C4C2311yescharacteristic
469C22×C22⋊C4C2311yescharacteristic
470C22×C22⋊C4C2311yescharacteristic
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2314yes—
478C22×C22⋊C4C2314yes—
479C22×C22⋊C4C2314yes—
480C22×C22⋊C4C2311yescharacteristic
481C22×C22⋊C4C2311yescharacteristic
482C22×C22⋊C4C2311yescharacteristic
483C22×C42—28no—
484C22×C42C2312yes—
485C22×C42C2311yescharacteristic
486C22×C42C2311yescharacteristic
487C22×C42C2311yescharacteristic
488C22×C42C2312yes—
489C22×C42C2311yescharacteristic
490C22×C42C2311yescharacteristic
491C22×C42C2312yes—
492C22×C42C2311yescharacteristic
493C22×C42C2312yes—
494#400C2314yes—
495#400C2314yes—
496#400C2312yes—
497#400C2314yes—
498#399C2314yes—
499#399C2312yes—
500#399C2314yes—
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2312yes—
507#398C2312yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2312yes—
512#398C2314yes—
513#398C2314yes—
514#397C2312yes—
515#397C2312yes—
516#397C2312yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
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#396C2314yes—
537#395C2314yes—
538#395C2314yes—
539#395C2312yes—
540#395C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2312yes—
570#393C2314yes—
571#392C2312yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2312yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#391C2312yes—
583#391C2312yes—
584#391C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2314yes—
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#388C2314yes—
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#387C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
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#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#384C2314yes—
727#382C2314yes—
728#381C2312yes—
729#381C2312yes—
730#381C2312yes—
731#381C2314yes—
732#381C2312yes—
733#381C2314yes—
734#381C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#379C2312yes—
752#379C2312yes—
753#379C2314yes—
754#379C2314yes—
755#379C2314yes—
756#379C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C2×#95C2314yes—
774C2×#95C2314yes—
775C2×#95C2312yes—
776C25C2411yescharacteristic
777C25C2412yes—
778C25C2411yescharacteristic
779C25C2411yescharacteristic
780C25C2412yes—
781C2×#41—24no—
782C2×#41—28no—
783C2×#41—44no—
784C2×#41—44no—
785C2×#41—44no—
786C22×Q8—24no—
787C22×Q8—24no—
788C22×Q8—42no—
789C22×Q8C2414yes—
790C22×Q8C2412yes—
791C22×Q8C2411yescharacteristic
792C22×D4—24no—
793C22×D4—24no—
794C22×D4—28no—
795C22×D4—28no—
796C22×D4—28no—
797C22×D4—24no—
798C22×D4—24no—
799C22×D4—42no—
800C22×D4—44no—
801C22×D4—44no—
802C22×D4—44no—
803C22×D4—44no—
804C22×D4—44no—
805C22×D4—48no—
806C22×D4—44no—
807C22×D4—44no—
808C22×D4C2×D418yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4—24no—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4—44no—
841C23×C4—44no—
842C23×C4—44no—
843C23×C4—44no—
844C23×C4—42no—
845C23×C4C2×D418yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C4⋊Q8—48no—
878#127—28no—
879#126—216no—
880#126—216no—
881#126—28no—
882#126—28no—
883#126—28no—
884#126—216no—
885#126—216no—
886#126—28no—
887#125—216no—
888#125—216no—
889#125—28no—
890#125—28no—
891#124—216no—
892#124—216no—
893#124—28no—
894#124—28no—
895#124—28no—
896#124—48no—
897#123—28no—
898#123—28no—
899#123—28no—
900#123—28no—
901#123—28no—
902#123—28no—
903#123—28no—
904#123—28no—
905#123—28no—
906#123—28no—
907#123—28no—
908#123—28no—
909#123—28no—
910#123—28no—
911#123—28no—
912#123—28no—
913#123—28no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—44no—
919#123—44no—
920#123—44no—
921#123—44no—
922#123—44no—
923#123—44no—
924#123—48no—
925#123C2×D4116yes—
926#123C2×D4116yes—
927#123C2×D4116yes—
928#123C2×D4116yes—
929C22⋊Q8—24no—
930C22⋊Q8—24no—
931C22⋊Q8—28no—
932C22⋊Q8—28no—
933C22⋊Q8—28no—
934C22⋊Q8—216no—
935C22⋊Q8—216no—
936C22⋊Q8—28no—
937C22⋊Q8—28no—
938C22⋊Q8—48no—
939C22⋊Q8—48no—
940#121—216no—
941#121—216no—
942#121—28no—
943#121—28no—
944#121—28no—
945#121—24no—
946#121—24no—
947#121—24no—
948#121—24no—
949#121—28no—
950#121—28no—
951#121—24no—
952#121—24no—
953#121—28no—
954#121—28no—
955#121—28no—
956#121—28no—
957#121—28no—
958#121—28no—
959#121—28no—
960#121—28no—
961#121—28no—
962#121—28no—
963#121—48no—
964#121—48no—
965#121—48no—
966#121—48no—
967#120—28no—
968#120—28no—
969#120—28no—
970#120—28no—
971#120—28no—
972#120—28no—
973#120—28no—
974#120—28no—
975#120—48no—
976#120—48no—
977#120—44no—
978#120—44no—
979#120—44no—
980C4×Q8—216no—
981C4×Q8—216no—
982C4×D4—216no—
983C4×D4—216no—
984C4×D4—28no—
985C4×D4—28no—
986C4×D4—28no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—28no—
990C4×D4—216no—
991C4×D4—216no—
992C4×D4—216no—
993C4×D4—216no—
994C4×D4—28no—
995C4×D4—28no—
996C4×D4—48no—
997C4×D4—48no—
998#117—24no—
999#117—216no—
1000#117—216no—
1001#117—28no—
1002#117—216no—
1003#117—216no—
1004#117—44no—
1005#117—44no—
1006C2×C4⋊C4—24no—
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—24no—
1015C2×C4⋊C4—48no—
1016C2×C4⋊C4—44no—
1017C2×C4⋊C4C2×D418yes—
1018C2×C4⋊C4C2×D418yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
1068C2×C22⋊C4—24no—
1069C2×C22⋊C4—24no—
1070C2×C22⋊C4—24no—
1071C2×C22⋊C4—24no—
1072C2×C22⋊C4—24no—
1073C2×C22⋊C4—24no—
1074C2×C22⋊C4—28no—
1075C2×C22⋊C4—28no—
1076C2×C22⋊C4—28no—
1077C2×C22⋊C4—48no—
1078C2×C22⋊C4—48no—
1079C2×C22⋊C4—48no—
1080C2×C22⋊C4—44no—
1081C2×C22⋊C4—44no—
1082C2×C22⋊C4C2×D418yes—
1083C2×C22⋊C4C2×D418yes—
1084C2×C22⋊C4C2×D418yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C42—24no—
1157C2×C42—24no—
1158C2×C42—24no—
1159C2×C42—24no—
1160C2×C42—24no—
1161C2×C42—24no—
1162C2×C42—28no—
1163C2×C42—28no—
1164C2×C42—28no—
1165C2×C42—28no—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
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—24no—
1224C24—22no—
1225C24—22no—
1226C24—28no—
1227C24—24no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24—44no—
1235C24—42no—
1236C24—42no—
1237C24—44no—
1238C24—44no—
1239C24—42no—
1240C24C22×D414yes—
1241C24C22×D414yes—
1242C24C2512yes—
1243C24C2512yes—
1244C24C2512yes—
1245C24C2512yes—
1246C24C2512yes—
1247C24C2511yescharacteristic
1248C24C2511yescharacteristic
1249C24C2511yescharacteristic
1250#41—88no—
1251#41—816no—
1252C2×Q8—28no—
1253C2×Q8—22no—
1254C2×Q8—24no—
1255C2×Q8—28no—
1256C2×Q8—44no—
1257C2×Q8—42no—
1258C2×Q8—42no—
1259C2×Q8—42no—
1260C2×Q8—416no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—24no—
1291C2×D4—28no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—416no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
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—416no—
1326C2×D4—88no—
1327C2×D4—816no—
1328C2×D4—816no—
1329C2×D4—816no—
1330C2×D4C22×D418yes—
1331C2×D4C22×D418yes—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—28no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—28no—
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—28no—
1362C22×C4—28no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—416no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—44no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—42no—
1388C22×C4—44no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—416no—
1402C22×C4—416no—
1403C22×C4—416no—
1404C22×C4—416no—
1405C22×C4C22×D414yes—
1406C22×C4C22×D414yes—
1407C22×C4C22×D414yes—
1408C22×C4C22×D414yes—
1409C22×C4C22×D414yes—
1410C22×C4C22×D414yes—
1411C22×C4C22×D414yes—
1412C22×C4C22×D414yes—
1413C22×C4C22×D414yes—
1414C22×C4H(5,𝔽2)14yes—
1415C22×C4C2514yes—
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2514yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—28no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4C22×D418yes—
1483C4⋊C4C22×D418yes—
1484C4⋊C4C22×D418yes—
1485C4⋊C4C22×D418yes—
1486C22⋊C4—28no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—28no—
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—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—28no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
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⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4C22×D418yes—
1552C22⋊C4C22×D418yes—
1553C22⋊C4C22×D418yes—
1554C22⋊C4C22×D418yes—
1555C22⋊C4C22×D418yes—
1556C22⋊C4C22×D418yes—
1557C42—24no—
1558C42—24no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—28no—
1566C42—28no—
1567C42—24no—
1568C42—24no—
1569C42—24no—
1570C42—44no—
1571C42—44no—
1572C42—44no—
1573C42—44no—
1574C23—21no—
1575C23—22no—
1576C23—22no—
1577C23—21no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—24no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—28no—
1588C23—28no—
1589C23—28no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—24no—
1600C23—24no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—24no—
1606C23—24no—
1607C23—24no—
1608C23—24no—
1609C23—22no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—48no—
1614C23—48no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—48no—
1619C23—84no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23—84no—
1625C23—84no—
1626C23—88no—
1627C23—84no—
1628C23—88no—
1629C23—84no—
1630C23—88no—
1631C23—164no—
1632C23C23×D414yes—
1633C23C23×D412yes—
1634C23C23×D412yes—
1635C23C23×D412yes—
1636C23C2×H(5,𝔽2)12yes—
1637C23#58514yes—
1638C23#58512yes—
1639C23C2611yescharacteristic
1640Q8—416no—
1641Q8—82no—
1642Q8—84no—
1643D4—216no—
1644D4—48no—
1645D4—416no—
1646D4—48no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—48no—
1651D4—48no—
1652D4—84no—
1653D4—82no—
1654D4—84no—
1655D4—82no—
1656D4—84no—
1657D4—82no—
1658D4—84no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—88no—
1667D4—164no—
1668D4—164no—
1669C2×C4—28no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—28no—
1683C2×C4—28no—
1684C2×C4—28no—
1685C2×C4—28no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—24no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—416no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—416no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—84no—
1744C2×C4—84no—
1745C2×C4—84no—
1746C2×C4—88no—
1747C2×C4—84no—
1748C2×C4—84no—
1749C2×C4—164no—
1750C2×C4C23×D412yes—
1751C2×C4C23×D412yes—
1752C2×C4C23×D412yes—
1753C2×C4C23×D412yes—
1754C2×C4C23×D414yes—
1755C2×C4C23×D414yes—
1756C2×C4C23×D414yes—
1757C2×C4C2×H(5,𝔽2)14yes—
1758C2×C4#58514yes—
1759C22—24no—
1760C22—24no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—24no—
1766C22—24no—
1767C22—22no—
1768C22—24no—
1769C22—22no—
1770C22—24no—
1771C22—22no—
1772C22—24no—
1773C22—416no—
1774C22—42no—
1775C22—44no—
1776C22—44no—
1777C22—42no—
1778C22—44no—
1779C22—44no—
1780C22—44no—
1781C22—44no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—44no—
1795C22—44no—
1796C22—44no—
1797C22—44no—
1798C22—88no—
1799C22—88no—
1800C22—168no—
1801C22—168no—
1802C22#348514yes—
1803C22#348814yes—
1804C22C24×D411yescharacteristic
1805C22C22×H(5,𝔽2)11yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58512yes—
1808C22C2×#58512yes—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—24no—
1814C4—24no—
1815C4—24no—
1816C4—24no—
1817C4—24no—
1818C4—44no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—44no—
1830C4—44no—
1831C4—44no—
1832C2—24no—
1833C2—24no—
1834C2—42no—
1835C2—44no—
1836C2—82no—
1837C2—82no—
1838C2—82no—
1839C2—82no—
1840C2#6275512yes—
1841C2C2×#348511yescharacteristic
1842C2C2×#348811yescharacteristic
1843C2#6281111yescharacteristic
1844C2#6283012yes—
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×#3534C2semidirect
2. C22×#529C2semidirect
3. #59108C2semidirect
4. #59091C2semidirect
5. #45770C2semidirect
6. #45769C2semidirect
7. #39717C2semidirect
8. #39333C2semidirect
9. #37791C2semidirect
10. #37778C2semidirect
11. #37734C2semidirect
12. #37733C2semidirect
13. #37647C2semidirect
14. #37646C2semidirect
15. #37452C2semidirect
16. #37440C2semidirect
17. #36971C2semidirect
18. #36969C2semidirect
19. #36961C2semidirect
20. #36960C2semidirect
21. #36626C2semidirect
22. C2×#2854C2semidirect
23. #36517C2semidirect
24. #36340C2semidirect
25. #36316C2semidirect
26. #36236C2semidirect
27. #35153C2semidirect
28. #35092C2semidirect
29. #34986C2semidirect
30. #34984C2semidirect
31. #34376C2semidirect
33. C2×#562C22semidirect
34. C2×#560C22semidirect
36. C2×#551C22semidirect
39. C2×#546C22semidirect
41. C2×#540C22semidirect
43. C2×#539C22semidirect
45. C2×#538C22semidirect
47. C2×#536C22semidirect
49. C2×#534C22semidirect
50. C2×#534C22semidirect
52. C2×#529C22semidirect
53. C2×#529C22semidirect
54. C2×#529C22semidirect
55. C2×#529C22semidirect
56. C22×#126C22semidirect
57. C22×#126C22semidirect
58. C22×#125C22semidirect
59. C22×#124C22semidirect
62. C22×#123C22semidirect
63. C22×#123C22semidirect
64. C22×C22⋊Q8C22semidirect
67. C22×C4×Q8C22semidirect
69. C22×C4×D4C22semidirect
70. C22×C4×D4C22semidirect
71. C22×#117C22semidirect
72. C22×#117C22semidirect
73. C23×C42C22semidirect
74. #2855C22semidirect
75. #2855C22semidirect
76. #2855C22semidirect
79. #2854C22semidirect
80. #2854C22semidirect
81. #2854C22semidirect
82. #2854C22semidirect
83. #2854C22semidirect
84. #2854C22semidirect
85. #2854C22semidirect
86. #2854C22semidirect
87. #2854C22semidirect
88. #2854C22semidirect
89. #2854C22semidirect
90. #2853C22semidirect
91. #2853C22semidirect
92. #2849C22semidirect
93. #2849C22semidirect
94. #2849C22semidirect
95. #2847C22semidirect
96. #2814C22semidirect
97. #2813C22semidirect
98. #2813C22semidirect
99. #2727C22semidirect
100. #2725C22semidirect
101. #2725C22semidirect
102. #2723C22semidirect
103. #2723C22semidirect
104. #2722C22semidirect
105. #2719C22semidirect
106. #2718C22semidirect
107. #2718C22semidirect
108. #2715C22semidirect
109. #2714C22semidirect
110. #2714C22semidirect
111. #2711C22semidirect
112. #2707C22semidirect
113. #2705C22semidirect
114. #2702C22semidirect
115. #2695C22semidirect
116. #2691C22semidirect
117. #2685C22semidirect
118. #2685C22semidirect
119. #2682C22semidirect
120. #2681C22semidirect
121. #2680C22semidirect
122. #2678C22semidirect
123. #2676C22semidirect
124. #2674C22semidirect
125. #2674C22semidirect
126. #2673C22semidirect
127. #2672C22semidirect
128. #2672C22semidirect
129. #2671C22semidirect
130. #2670C22semidirect
131. #2661C22semidirect
132. #2661C22semidirect
133. #2630C22semidirect
134. #2627C22semidirect
135. #2626C22semidirect
136. #2623C22semidirect
138. #2618C22semidirect
139. #2618C22semidirect
140. #2618C22semidirect
141. #2618C22semidirect
142. #2618C22semidirect
144. #2617C22semidirect
145. #2617C22semidirect
146. #2614C22semidirect
147. #2613C22semidirect
148. #2613C22semidirect
149. #2591C22semidirect
150. #2591C22semidirect
151. #2579C22semidirect
152. #2579C22semidirect
153. #2558C22semidirect
154. #2555C22semidirect
155. #2539C22semidirect
156. #2539C22semidirect
157. #2534C22semidirect
158. #2534C22semidirect
159. #2519C22semidirect
160. #2504C22semidirect
161. #2501C22semidirect
162. #2498C22semidirect
163. #2491C22semidirect
164. #2487C22semidirect
165. #2486C22semidirect
166. #2479C22semidirect
167. #2479C22semidirect
168. #2476C22semidirect
169. #2476C22semidirect
170. #2475C22semidirect
171. #2474C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2471C22semidirect
175. #2471C22semidirect
176. #2470C22semidirect
177. #2469C22semidirect
178. #2466C22semidirect
179. #2465C22semidirect
180. #2464C22semidirect
181. #2462C22semidirect
182. #2461C22semidirect
183. #2460C22semidirect
184. #2459C22semidirect
185. #2459C22semidirect
186. #2458C22semidirect
187. #2457C22semidirect
188. #2456C22semidirect
189. #2456C22semidirect
190. #2455C22semidirect
191. #2450C22semidirect
192. #2449C22semidirect
193. #2445C22semidirect
194. #2444C22semidirect
195. #2444C22semidirect
196. #2443C22semidirect
197. #2441C22semidirect
198. #2440C22semidirect
199. #2438C22semidirect
200. #2437C22semidirect
201. #2430C22semidirect
202. #2429C22semidirect
203. #2429C22semidirect
204. #2426C22semidirect
205. #2426C22semidirect
206. #2425C22semidirect
207. #2425C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
211. #2424C22semidirect
212. #2420C22semidirect
213. #2418C22semidirect
214. #2418C22semidirect
216. #2414C22semidirect
217. #2413C22semidirect
218. #2412C22semidirect
219. #2412C22semidirect
220. #2412C22semidirect
221. #2411C22semidirect
222. #2411C22semidirect
223. #2411C22semidirect
224. #2410C22semidirect
225. #2410C22semidirect
226. #2406C22semidirect
227. #2405C22semidirect
228. #2405C22semidirect
229. #2405C22semidirect
230. #2404C22semidirect
231. #2403C22semidirect
232. #2376C22semidirect
233. #2364C22semidirect
234. #2363C22semidirect
235. #2359C22semidirect
236. #2359C22semidirect
237. #2358C22semidirect
238. #2354C22semidirect
239. #2349C22semidirect
240. #2345C22semidirect
241. #2342C22semidirect
242. #2342C22semidirect
243. #2342C22semidirect
245. D4×C22⋊C4C22semidirect
246. #2335C22semidirect
247. #2322C22semidirect
248. #2322C22semidirect
249. #2322C22semidirect
250. #2316C22semidirect
251. #2315C22semidirect
252. #2313C22semidirect
253. #2312C22semidirect
254. C4×#123C22semidirect
255. C4×#123C22semidirect
256. C4×#123C22semidirect
257. C4×#123C22semidirect
258. C4×#120C22semidirect
259. #2297C22semidirect
260. #2297C22semidirect
261. #2296C22semidirect
262. C2×#390C22semidirect
263. C2×#389C22semidirect
264. C2×#388C22semidirect
265. C2×#386C22semidirect
266. C2×#386C22semidirect
267. #2280C22semidirect
268. C2×#380C22semidirect
333. C2×#123D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35342
C22×#5292
#591082
#590912
#457702
#457692
#397172
#393332
#377912
#377782
#377342
#377332
#376472
#376462
#374522
#374402
#369712
#369692
#369612
#369602
#366262
C2×#28542
#365172
#363402
#363162
#362362
#351532
#350922
#349862
#349842
#343762