Finite Group Databasebeta

← #7710583

Subgroups — #7710583

Order 512.

6870 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3564C211yesmaximal, characteristic, complemented
2C22×#529C211yesmaximal, characteristic, complemented
3#59166C214yesmaximal, complemented
4#59165C214yesmaximal, complemented
5#46130C214yesmaximal, complemented
6#45969C214yesmaximal, complemented
7#39589C212yesmaximal, complemented
8#39461C212yesmaximal, complemented
9#37841C212yesmaximal, complemented
10#37840C212yesmaximal, complemented
11#37807C214yesmaximal, complemented
12#37804C214yesmaximal, complemented
13#37739C214yesmaximal, complemented
14#37738C214yesmaximal, complemented
15#37548C211yesmaximal, characteristic, complemented
16#37538C211yesmaximal, characteristic, complemented
17#36722C211yesmaximal, characteristic, complemented
18#36720C211yesmaximal, characteristic, complemented
19#36711C211yesmaximal, characteristic, complemented
20#36709C211yesmaximal, characteristic, complemented
21#36625C211yesmaximal, characteristic, complemented
22#36621C211yesmaximal, characteristic, complemented
23#36528C212yesmaximal, complemented
24#36427C212yesmaximal, complemented
25#36341C212yesmaximal, complemented
26#36317C212yesmaximal, complemented
27#35154C211yesmaximal, characteristic, complemented
28#35092C211yesmaximal, characteristic, complemented
29#34986C211yesmaximal, characteristic, complemented
30#34985C211yesmaximal, characteristic, complemented
31#34381C211yesmaximal, characteristic, complemented
32#3564—216no—
33C2×#563C2212yescomplemented
34C2×#563C2212yescomplemented
35C2×#556C2212yescomplemented
36C2×#554C2212yes—
37C2×#552C2212yes—
38C2×#552C2212yescomplemented
39C2×#551C2212yes—
40C2×#551C2212yes—
41C2×#544C2211yescharacteristic
42C2×#543C2211yescharacteristic
43C2×#542C2212yescomplemented
44C2×#541C2212yescomplemented
45C2×#541C2212yescomplemented
46C2×#539C2211yescharacteristic
47C2×#539C2212yescomplemented
48C2×#538C2211yescharacteristic
49C2×#533C2211yescharacteristic
50C2×#529—216no—
51C2×#529C2211yescharacteristic
52C2×#529C2214yes—
53C2×#529C2214yes—
54C2×#529C2214yes—
55C2×#529C2214yes—
56C22×#126C2211yescharacteristic
57C22×#126C2211yescharacteristic
58C22×#125C2211yescharacteristic
59C22×#124C2211yescharacteristic
60C22×#123C2211yescharacteristic
61C22×#123C2211yescharacteristic
62C22×C22⋊Q8C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×C4×Q8C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×#117C2211yescharacteristic
69C22×#117C2211yescharacteristic
70C23×C42C2211yescharacteristic
71#2857C2212yescomplemented
72#2857C2212yescomplemented
73#2855C2211yescharacteristic
74#2855C2211yescharacteristic
75#2855C2212yes—
76#2855C2211yescharacteristic
77#2855C2212yes—
78#2854C2211yescharacteristic
79#2853C2212yes—
80#2853C2212yes—
81#2852C2214yescomplemented
82#2851C2212yescomplemented
83#2851C2214yescomplemented
84#2850C2212yescomplemented
85#2849C2212yes—
86#2849C2212yes—
87#2848C2211yescharacteristic
88#2848C2211yescharacteristic
89#2848C2211yescharacteristic
90#2848C2212yes—
91#2848C2212yes—
92#2847C2211yescharacteristic
93#2823C2214yescomplemented
94#2821C2212yescomplemented
95#2821C2212yescomplemented
96#2726C2214yescomplemented
97#2720C2214yescomplemented
98#2715C2214yescomplemented
99#2713C2214yescomplemented
100#2712C2214yescomplemented
101#2710C2214yescomplemented
102#2707C2214yescomplemented
103#2705C2214yescomplemented
104#2704C2214yescomplemented
105#2704C2214yescomplemented
106#2703C2214yes—
107#2702C2214yescomplemented
108#2700C2214yescomplemented
109#2695C2214yescomplemented
110#2694C2214yescomplemented
111#2694C2214yescomplemented
112#2693C2214yescomplemented
113#2692C2214yescomplemented
114#2691C2214yes—
115#2690C2214yescomplemented
116#2687C2214yescomplemented
117#2687C2214yescomplemented
118#2682C2214yescomplemented
119#2681C2214yescomplemented
120#2680C2214yescomplemented
121#2680C2214yescomplemented
122#2674C2214yescomplemented
123#2674C2214yescomplemented
124#2672C2214yes—
125#2672C2214yescomplemented
126#2671C2214yes—
127#2671C2214yescomplemented
128#2664C2212yescomplemented
129#2664C2214yescomplemented
130#2662C2212yescomplemented
131#2637C2214yescomplemented
132#2637C2212yescomplemented
133#2636C2212yescomplemented
134#2627C2211yescharacteristic
135#2627C2211yescharacteristic
136#2627C2211yescharacteristic
137#2627C2212yes—
138#2627C2212yes—
139#2626C2211yescharacteristic
140#2626C2211yescharacteristic
141#2626C2211yescharacteristic
142#2618C2211yescharacteristic
143#2617C2211yescharacteristic
144#2614C2212yes—
145#2613C2212yes—
146#2604C2212yescomplemented
147#2604C2212yescomplemented
148#2601C2214yescomplemented
149#2583C2212yes—
150#2583C2212yes—
151#2579C2212yes—
152#2579C2212yes—
153#2561C2212yes—
154#2561C2212yes—
155#2560C2214yescomplemented
156#2559C2214yes—
157#2557C2214yescomplemented
158#2556C2214yescomplemented
159#2556C2214yescomplemented
160#2555C2214yes—
161#2534C2212yes—
162#2534C2212yes—
163#2521C2214yescomplemented
164#2506C2214yescomplemented
165#2502C2212yes—
166#2487C2212yes—
167#2484C2212yes—
168#2483C2212yes—
169#2482C2212yes—
170#2482C2212yes—
171#2482C2212yes—
172#2479C2214yescomplemented
173#2479C2214yescomplemented
174#2478C2214yescomplemented
175#2478C2214yescomplemented
176#2477C2214yescomplemented
177#2476C2214yes—
178#2475C2214yescomplemented
179#2475C2214yescomplemented
180#2474C2214yescomplemented
181#2474C2214yescomplemented
182#2473C2214yescomplemented
183#2470C2214yescomplemented
184#2469C2214yescomplemented
185#2468C2214yescomplemented
186#2466C2214yescomplemented
187#2466C2214yescomplemented
188#2465C2214yescomplemented
189#2465C2214yescomplemented
190#2464C2214yes—
191#2463C2214yescomplemented
192#2463C2214yescomplemented
193#2462C2214yescomplemented
194#2462C2214yescomplemented
195#2461C2214yescomplemented
196#2460C2214yescomplemented
197#2460C2214yescomplemented
198#2459C2214yescomplemented
199#2459C2214yescomplemented
200#2458C2214yescomplemented
201#2456C2214yescomplemented
202#2455C2214yescomplemented
203#2455C2214yescomplemented
204#2453C2214yescomplemented
205#2453C2214yescomplemented
206#2452C2214yescomplemented
207#2451C2214yescomplemented
208#2451C2214yescomplemented
209#2450C2214yescomplemented
210#2450C2214yescomplemented
211#2449C2214yescomplemented
212#2449C2214yescomplemented
213#2449C2214yescomplemented
214#2441C2214yescomplemented
215#2438C2214yescomplemented
216#2435C2212yes—
217#2427C2214yescomplemented
218#2425C2214yescomplemented
219#2415C2214yescomplemented
220#2413C2212yes—
221#2413C2214yescomplemented
222#2412C2212yes—
223#2411C2212yes—
224#2411C2212yes—
225#2411C2212yes—
226#2410C2212yes—
227#2408C2212yes—
228#2405C2212yes—
229#2383C2214yescomplemented
230#2373C2214yescomplemented
231#2367C2214yescomplemented
232#2362C2214yescomplemented
233#2361C2214yescomplemented
234#2361C2214yescomplemented
235#2359C2214yescomplemented
236#2359C2214yescomplemented
237#2354C2214yescomplemented
238#2345C2212yes—
239#2344C2212yes—
240#2344C2214yescomplemented
241#2342C2212yes—
242#2342C2212yes—
243#2334C2214yescomplemented
244#2334C2214yescomplemented
245#2322C2212yes—
246#2322C2212yes—
247#2316C2211yescharacteristic
248#2315C2211yescharacteristic
249#2313C2211yescharacteristic
250#2312C2211yescharacteristic
251#2310C2212yes—
252#2308C2212yes—
253C4×C22⋊Q8C2212yescomplemented
254C4×C22⋊Q8C2212yescomplemented
255C4×C22⋊Q8C2212yescomplemented
256C4×C22⋊Q8C2214yescomplemented
257C4×#123C2212yes—
258C4×#123C2212yes—
259C4×#121C2212yescomplemented
260C4×#120C2212yes—
261C4×#120C2212yes—
262#2296C2212yes—
263#2296C2212yes—
264#2290C2214yescomplemented
265C2×#385C2212yes—
266#2285C2211yescharacteristic
267#2283C2211yescharacteristic
268#2280C2212yes—
269C23×Q8C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C24×C4C2311yescharacteristic
274C24×C4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278#563—216no—
279#563—216no—
280#556—216no—
281#554—216no—
282#552—216no—
283#552—216no—
284#551—216no—
285#551—216no—
286#544—28no—
287#543—28no—
288#542—216no—
289#541—216no—
290#541—216no—
291#539—216no—
292#539—28no—
293#538—28no—
294#533—28no—
295C2×C4⋊Q8C2311yescharacteristic
296C2×C4⋊Q8C2311yescharacteristic
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2312yes—
300#529—232no—
301#529—232no—
302#529—232no—
303#529—232no—
304#529—28no—
305C2×#126—28no—
306C2×#126D4116yescomplemented
307C2×#126C2312yes—
308C2×#126C2312yes—
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×#126C2312yes—
323C2×#126C2312yes—
324C2×#125—28no—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#124—28no—
338C2×#124C2311yescharacteristic
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2314yes—
345C2×#123—28no—
346C2×#123—28no—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2314yes—
361C2×#123C2312yes—
362C2×#123C2314yes—
363C2×C22⋊Q8—28no—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×#121—28no—
389C2×#121C2311yescharacteristic
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#120C2312yes—
397C2×#120C2312yes—
398C2×#120C2312yes—
399C2×C4×Q8—28no—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2314yes—
407C2×C4×Q8C2314yes—
408C2×C4×D4—28no—
409C2×C4×D4—28no—
410C2×C4×D4—28no—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×#117—28no—
426C2×#117—28no—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2314yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2314yes—
433C2×#117C2312yes—
434C2×#117C2314yes—
435C2×#117C2314yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2314yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2312yes—
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2311yescharacteristic
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2311yescharacteristic
463C22×C42—28no—
464C22×C42C2312yes—
465C22×C42C2312yes—
466C22×C42C2312yes—
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472C22×C42C2312yes—
473C22×C42C2311yescharacteristic
474#400C2312yes—
475#400C2312yes—
476#400C2314yes—
477#400C2312yes—
478#400C2314yes—
479#400C2314yes—
480#400C2314yes—
481#399C2312yes—
482#399C2312yes—
483#399C2314yes—
484#399C2312yes—
485#399C2314yes—
486#399C2314yes—
487#399C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2312yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2312yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#395C2314yes—
526#395C2312yes—
527#395C2312yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2312yes—
532#395C2314yes—
533#395C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2312yes—
554#393C2312yes—
555#393C2314yes—
556#393C2312yes—
557#392C2314yes—
558#392C2314yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2314yes—
565#391C2314yes—
566#391C2312yes—
567#391C2314yes—
568#391C2312yes—
569#391C2312yes—
570#391C2314yes—
571#391C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
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#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#384C2312yes—
711#384C2314yes—
712#383C2312yes—
713#382C2312yes—
714#382C2312yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2314yes—
724#381C2314yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#379C2312yes—
743#379C2312yes—
744#379C2312yes—
745#379C2312yes—
746#379C2312yes—
747#379C2312yes—
748#379C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771#376C2312yes—
772C2×#95C2314yes—
773C25C2411yescharacteristic
774C25C2411yescharacteristic
775C25C2411yescharacteristic
776C22×Q8—24no—
777C22×Q8—24no—
778C22×Q8—42no—
779C22×Q8C2414yes—
780C22×Q8C2412yes—
781C22×Q8C2411yescharacteristic
782C22×Q8C2411yescharacteristic
783C22×Q8C2412yes—
784C22×Q8C2412yes—
785C22×Q8C2411yescharacteristic
786C22×D4—24no—
787C22×D4—24no—
788C22×D4—24no—
789C22×D4—24no—
790C22×D4—42no—
791C22×D4—44no—
792C22×D4—44no—
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2411yescharacteristic
801C22×D4C2414yes—
802C23×C4—24no—
803C23×C4—24no—
804C23×C4—24no—
805C23×C4—24no—
806C23×C4—24no—
807C23×C4—24no—
808C23×C4—44no—
809C23×C4—44no—
810C23×C4—44no—
811C23×C4—42no—
812C23×C4—44no—
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2414yes—
816C23×C4C2414yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C4⋊Q8—28no—
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844#126—28no—
845#126—28no—
846#126—28no—
847#126—28no—
848#126—28no—
849#126—28no—
850#126—28no—
851#126—28no—
852#126—28no—
853#126—28no—
854#126—28no—
855#126—28no—
856#126—28no—
857#126C2×D4116yes—
858#126C2×D4116yes—
859#126C2×D4116yes—
860#126C2×D4116yes—
861#125—216no—
862#125—216no—
863#125—28no—
864#125—28no—
865#125—28no—
866#125—28no—
867#125—28no—
868#125—28no—
869#125—28no—
870#125—28no—
871#125—24no—
872#125—28no—
873#124—216no—
874#124—216no—
875#124—28no—
876#124—28no—
877#124—28no—
878#124—24no—
879#124—48no—
880#123—28no—
881#123—28no—
882#123—28no—
883#123—216no—
884#123—216no—
885#123—28no—
886#123—216no—
887#123—216no—
888#123—28no—
889#123—28no—
890#123—28no—
891#123—28no—
892#123—28no—
893#123—48no—
894#123—48no—
895#123—44no—
896C22⋊Q8—24no—
897C22⋊Q8—24no—
898C22⋊Q8—24no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—216no—
903C22⋊Q8—216no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—28no—
907C22⋊Q8—28no—
908C22⋊Q8—28no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920#121—24no—
921#121—216no—
922#121—216no—
923#121—28no—
924#121—48no—
925#121—48no—
926#121—44no—
927#120—28no—
928#120—44no—
929#120—44no—
930C4×Q8—216no—
931C4×Q8—216no—
932C4×Q8—28no—
933C4×Q8—28no—
934C4×Q8—24no—
935C4×Q8—28no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—216no—
942C4×D4—216no—
943C4×D4—216no—
944C4×D4—216no—
945C4×D4—216no—
946C4×D4—216no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—24no—
950C4×D4—48no—
951C4×D4—48no—
952#117—28no—
953#117—28no—
954#117—216no—
955#117—216no—
956#117—28no—
957#117—216no—
958#117—216no—
959#117—28no—
960#117—28no—
961#117—28no—
962#117—44no—
963#117—44no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—28no—
972C2×C4⋊C4—48no—
973C2×C4⋊C4C2×D418yes—
974C2×C4⋊C4C2×D418yes—
975C2×C4⋊C4C2×D418yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C22⋊C4—24no—
1043C2×C22⋊C4—28no—
1044C2×C22⋊C4—24no—
1045C2×C22⋊C4—24no—
1046C2×C22⋊C4—24no—
1047C2×C22⋊C4—24no—
1048C2×C22⋊C4—24no—
1049C2×C22⋊C4—24no—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4C2×D418yes—
1052C2×C22⋊C4C2×D418yes—
1053C2×C22⋊C4C2×D418yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C42—24no—
1113C2×C42—24no—
1114C2×C42—24no—
1115C2×C42—24no—
1116C2×C42—24no—
1117C2×C42—28no—
1118C2×C42—28no—
1119C2×C42—28no—
1120C2×C42—28no—
1121C2×C42C2×D418yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188C24—22no—
1189C24—24no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—22no—
1196C24—22no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24—42no—
1202C24C22×D414yes—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2512yes—
1206C24C2512yes—
1207C24C2511yescharacteristic
1208C2×Q8—28no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—28no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—416no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—22no—
1236C2×D4—28no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—416no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—416no—
1250C2×D4—416no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—28no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—24no—
1281C22×C4—28no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—416no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—416no—
1311C22×C4—416no—
1312C22×C4—416no—
1313C22×C4—416no—
1314C22×C4C22×D414yes—
1315C22×C4C22×D414yes—
1316C22×C4C22×D414yes—
1317C22×C4C22×D414yes—
1318C22×C4C22×D414yes—
1319C22×C4C22×D414yes—
1320C22×C42−1+414yes—
1321C22×C4C2514yes—
1322C22×C4C2514yes—
1323C22×C4C2514yes—
1324C22×C4C2514yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—28no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4C22×D418yes—
1408C4⋊C4C22×D418yes—
1409C4⋊C4C22×D418yes—
1410C4⋊C4C22×D418yes—
1411C4⋊C4C22×D418yes—
1412C4⋊C4C22×D418yes—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4C22×D418yes—
1466C22⋊C4C22×D418yes—
1467C22⋊C4C22×D418yes—
1468C22⋊C4C22×D418yes—
1469C22⋊C4C22×D418yes—
1470C22⋊C4C22×D418yes—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—28no—
1478C42—28no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42C22×D414yes—
1492C42C22×D414yes—
1493C42C22×D414yes—
1494C42C22×D414yes—
1495C23—22no—
1496C23—22no—
1497C23—28no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—28no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—44no—
1520C23—44no—
1521C23—48no—
1522C23—48no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23C23×D414yes—
1533C23C23×D412yes—
1534C23C2×2−1+412yes—
1535C23#58514yes—
1536C23#58512yes—
1537C23C2611yescharacteristic
1538Q8—416no—
1539Q8—84no—
1540Q8—82no—
1541Q8—82no—
1542Q8—84no—
1543Q8—82no—
1544Q8—84no—
1545D4—416no—
1546D4—416no—
1547D4—416no—
1548D4—48no—
1549D4—82no—
1550D4—88no—
1551D4—84no—
1552D4—84no—
1553D4—88no—
1554C2×C4—28no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—28no—
1572C2×C4—28no—
1573C2×C4—28no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—48no—
1616C2×C4—48no—
1617C2×C4—48no—
1618C2×C4—416no—
1619C2×C4—48no—
1620C2×C4—416no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—88no—
1633C2×C4C23×D412yes—
1634C2×C4C23×D412yes—
1635C2×C4C23×D414yes—
1636C2×C4C23×D414yes—
1637C2×C4C23×D412yes—
1638C2×C4C23×D412yes—
1639C2×C4C23×D412yes—
1640C2×C4C23×D412yes—
1641C2×C4C23×D414yes—
1642C2×C4C2×2−1+414yes—
1643C2×C4#58514yes—
1644C22—24no—
1645C22—22no—
1646C22—22no—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—416no—
1655C22—44no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—44no—
1661C22—44no—
1662C22—44no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—44no—
1670C22—44no—
1671C22—88no—
1672C22—88no—
1673C22#348914yes—
1674C22C24×D411yescharacteristic
1675C22C22×2−1+411yescharacteristic
1676C22C2×#58511yescharacteristic
1677C22C2×#58512yes—
1678C22C2×#58512yes—
1679C4—22no—
1680C4—22no—
1681C4—24no—
1682C4—24no—
1683C4—24no—
1684C4—22no—
1685C4—24no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—24no—
1690C4—44no—
1691C4—44no—
1692C4—44no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—44no—
1705C2—24no—
1706C2—44no—
1707C2—44no—
1708C2—82no—
1709C2—82no—
1710C2#6275512yes—
1711C2C2×#348911yescharacteristic
1712C2#6281111yescharacteristic
1713C2#6281111yescharacteristic
1714C2#6283112yes—
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×#3564C2semidirect
2. C22×#529C2semidirect
3. #59166C2semidirect
4. #59165C2semidirect
5. #46130C2semidirect
6. #45969C2semidirect
7. #39589C2semidirect
8. #39461C2semidirect
9. #37841C2semidirect
10. #37840C2semidirect
11. #37807C2semidirect
12. #37804C2semidirect
13. #37739C2semidirect
14. #37738C2semidirect
15. #37548C2semidirect
16. #37538C2semidirect
17. #36722C2semidirect
18. #36720C2semidirect
19. #36711C2semidirect
20. #36709C2semidirect
21. #36625C2semidirect
22. #36621C2semidirect
23. #36528C2semidirect
24. #36427C2semidirect
25. #36341C2semidirect
26. #36317C2semidirect
27. #35154C2semidirect
28. #35092C2semidirect
29. #34986C2semidirect
30. #34985C2semidirect
31. #34381C2semidirect
33. C2×#563C22semidirect
34. C2×#563C22semidirect
35. C2×#556C22semidirect
38. C2×#552C22semidirect
43. C2×#542C22semidirect
44. C2×#541C22semidirect
45. C2×#541C22semidirect
47. C2×#539C22semidirect
71. #2857C22semidirect
72. #2857C22semidirect
81. #2852C22semidirect
82. #2851C22semidirect
83. #2851C22semidirect
84. #2850C22semidirect
93. #2823C22semidirect
94. #2821C22semidirect
95. #2821C22semidirect
96. #2726C22semidirect
97. #2720C22semidirect
98. #2715C22semidirect
99. #2713C22semidirect
100. #2712C22semidirect
101. #2710C22semidirect
102. #2707C22semidirect
103. #2705C22semidirect
104. #2704C22semidirect
105. #2704C22semidirect
107. #2702C22semidirect
108. #2700C22semidirect
109. #2695C22semidirect
110. #2694C22semidirect
111. #2694C22semidirect
112. #2693C22semidirect
113. #2692C22semidirect
115. #2690C22semidirect
116. #2687C22semidirect
117. #2687C22semidirect
118. #2682C22semidirect
119. #2681C22semidirect
120. #2680C22semidirect
121. #2680C22semidirect
122. #2674C22semidirect
123. #2674C22semidirect
125. #2672C22semidirect
127. #2671C22semidirect
128. #2664C22semidirect
129. #2664C22semidirect
130. #2662C22semidirect
131. #2637C22semidirect
132. #2637C22semidirect
133. #2636C22semidirect
146. #2604C22semidirect
147. #2604C22semidirect
148. #2601C22semidirect
155. #2560C22semidirect
157. #2557C22semidirect
158. #2556C22semidirect
159. #2556C22semidirect
163. #2521C22semidirect
164. #2506C22semidirect
172. #2479C22semidirect
173. #2479C22semidirect
174. #2478C22semidirect
175. #2478C22semidirect
176. #2477C22semidirect
178. #2475C22semidirect
179. #2475C22semidirect
180. #2474C22semidirect
181. #2474C22semidirect
182. #2473C22semidirect
183. #2470C22semidirect
184. #2469C22semidirect
185. #2468C22semidirect
186. #2466C22semidirect
187. #2466C22semidirect
188. #2465C22semidirect
189. #2465C22semidirect
191. #2463C22semidirect
192. #2463C22semidirect
193. #2462C22semidirect
194. #2462C22semidirect
195. #2461C22semidirect
196. #2460C22semidirect
197. #2460C22semidirect
198. #2459C22semidirect
199. #2459C22semidirect
200. #2458C22semidirect
201. #2456C22semidirect
202. #2455C22semidirect
203. #2455C22semidirect
204. #2453C22semidirect
205. #2453C22semidirect
206. #2452C22semidirect
207. #2451C22semidirect
208. #2451C22semidirect
209. #2450C22semidirect
210. #2450C22semidirect
211. #2449C22semidirect
212. #2449C22semidirect
213. #2449C22semidirect
214. #2441C22semidirect
215. #2438C22semidirect
217. #2427C22semidirect
218. #2425C22semidirect
219. #2415C22semidirect
221. #2413C22semidirect
229. #2383C22semidirect
230. #2373C22semidirect
231. #2367C22semidirect
232. #2362C22semidirect
233. #2361C22semidirect
234. #2361C22semidirect
235. #2359C22semidirect
236. #2359C22semidirect
237. #2354C22semidirect
240. #2344C22semidirect
243. #2334C22semidirect
244. #2334C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×C22⋊Q8C22semidirect
259. C4×#121C22semidirect
264. #2290C22semidirect
306. C2×#126D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35642
C22×#5292
#591662
#591652
#461302
#459692
#395892
#394612
#378412
#378402
#378072
#378042
#377392
#377382
#375482
#375382
#367222
#367202
#367112
#367092
#366252
#366212
#365282
#364272
#363412
#363172
#351542
#350922
#349862
#349852
#343812