Finite Group Databasebeta

← #7674046

Subgroups — #7674046

Order 512.

7536 conjugacy classes of subgroups.

The subgroup lattice has 1784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3519C211yesmaximal, characteristic, complemented
3#45386C212yesmaximal, complemented
4#45352C212yesmaximal, complemented
5#45271C211yesmaximal, characteristic, complemented
6#45270C211yesmaximal, characteristic, complemented
7#45139C211yesmaximal, characteristic, complemented
8#45135C212yesmaximal, complemented
9#44936C211yesmaximal, characteristic, complemented
10#44935C211yesmaximal, characteristic, complemented
11#44933C211yesmaximal, characteristic, complemented
12#44932C211yesmaximal, characteristic, complemented
13#44931C211yesmaximal, characteristic, complemented
14#44927C212yesmaximal, complemented
15#39957C214yesmaximal, complemented
16#39940C214yesmaximal, complemented
17#38428C214yesmaximal, complemented
18#38423C214yesmaximal, complemented
19#37808C214yesmaximal, complemented
20#37802C214yesmaximal, complemented
21#37728C214yesmaximal, complemented
22#37722C214yesmaximal, complemented
23#35601C212yesmaximal, complemented
24#35538C212yesmaximal, complemented
25#35232C211yesmaximal, characteristic, complemented
26#35210C211yesmaximal, characteristic, complemented
27#35171C212yesmaximal, complemented
28#34643C211yesmaximal, characteristic, complemented
29#34309C212yesmaximal, complemented
30C4×#535C211yesmaximal, characteristic, complemented
31#34086C211yesmaximal, characteristic, complemented
32#3519—216no—
33#3517—216no—
34C2×#557C2211yescharacteristic, complemented
35C2×#555C2211yescharacteristic
36C2×#554C2211yescharacteristic
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#553C2214yescomplemented
40C2×#553C2212yescomplemented
41C2×#550C2211yescharacteristic
42C2×#550C2212yescomplemented
43C2×#550C2212yescomplemented
44C2×#550C2211yescharacteristic, complemented
45C2×#550C2211yescharacteristic, complemented
46C2×#547C2212yescomplemented
47C2×#547C2211yescharacteristic, complemented
48C2×#546C2212yes—
49C2×#546C2214yes—
50C2×#546C2212yes—
51C2×D42C2212yes—
52C2×D42C2211yescharacteristic
53C2×#540C2212yes—
54C2×#540C2214yescomplemented
55C2×#540C2212yescomplemented
56C2×#538C2214yes—
57C2×#535C2211yescharacteristic
58C2×#532C2211yescharacteristic
59C2×#532C2212yescomplemented
60C2×#529C2211yescharacteristic
61C2×#529C2211yescharacteristic, complemented
62C2×#529C2212yescomplemented
63C2×#525C2212yes—
64C22×#121C2212yes—
65C2×#520C2212yescomplemented
66C2×#518C2212yes—
67C2×C4×#41C2211yescharacteristic, complemented
68C22×C4×D4C2211yescharacteristic
69#2856C2214yescomplemented
70#2854C2214yescomplemented
71#2852C2214yescomplemented
72#2849C2214yescomplemented
73#2731C2214yescomplemented
74#2730C2214yescomplemented
75#2729C2214yescomplemented
76#2728C2214yescomplemented
77#2722C2214yescomplemented
78#2720C2214yescomplemented
79#2718C2214yescomplemented
80#2711C2214yescomplemented
81#2703C2214yescomplemented
82#2701C2214yescomplemented
83#2699C2214yescomplemented
84#2697C2214yescomplemented
85#2696C2214yescomplemented
86#2691C2214yescomplemented
87#2691C2214yescomplemented
88#2688C2214yescomplemented
89#2688C2214yescomplemented
90#2685C2214yescomplemented
91#2678C2214yescomplemented
92#2675C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2671C2214yescomplemented
97#2671C2214yescomplemented
98#2671C2214yescomplemented
99#2671C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2668C2214yescomplemented
104#2668C2214yescomplemented
105#2664C2212yescomplemented
106#2664C2212yescomplemented
107#2663C2212yescomplemented
108#2663C2212yescomplemented
109#2662C2212yescomplemented
110#2662C2212yescomplemented
111#2661C2212yes—
112#2661C2214yescomplemented
113#2661C2212yescomplemented
114#2661C2214yescomplemented
115#2638C2212yescomplemented
116#2635C2212yes—
117#2633C2212yescomplemented
118#2631C2212yescomplemented
119#2611C2212yescomplemented
120#2610C2212yescomplemented
121#2603C2214yescomplemented
122#2602C2214yescomplemented
123#2602C2214yescomplemented
124#2602C2214yescomplemented
125#2591C2214yescomplemented
126#2581C2211yescharacteristic, complemented
127#2580C2211yescharacteristic
128#2580C2211yescharacteristic, complemented
129#2580C2211yescharacteristic, complemented
130#2561C2212yescomplemented
131#2552C2212yescomplemented
132#2541C2212yescomplemented
133#2541C2212yescomplemented
134#2539C2212yescomplemented
135#2539C2214yescomplemented
136#2537C2212yescomplemented
137#2536C2211yescharacteristic, complemented
138#2535C2211yescharacteristic
139#2535C2211yescharacteristic, complemented
140#2535C2211yescharacteristic, complemented
141#2490C2212yescomplemented
142#2490C2212yescomplemented
143#2486C2212yescomplemented
144#2485C2212yescomplemented
145#2476C2214yescomplemented
146#2475C2214yescomplemented
147#2473C2214yescomplemented
148#2471C2214yescomplemented
149#2470C2214yescomplemented
150#2468C2214yescomplemented
151#2466C2214yescomplemented
152#2464C2214yescomplemented
153#2464C2214yescomplemented
154#2464C2214yescomplemented
155#2464C2214yescomplemented
156#2457C2214yescomplemented
157#2456C2214yescomplemented
158#2456C2214yescomplemented
159#2455C2214yescomplemented
160#2454C2212yes—
161#2453C2212yescomplemented
162#2448C2214yescomplemented
163#2445C2212yescomplemented
164#2445C2214yescomplemented
165#2445C2212yescomplemented
166#2444C2214yescomplemented
167#2444C2214yescomplemented
168#2443C2214yescomplemented
169#2442C2212yescomplemented
170#2441C2212yescomplemented
171#2433C2212yes—
172#2433C2214yescomplemented
173#2431C2212yescomplemented
174#2431C2214yescomplemented
175#2430C2214yescomplemented
176#2430C2214yescomplemented
177#2430C2214yescomplemented
178#2428C2212yes—
179#2428C2212yescomplemented
180#2428C2212yescomplemented
181#2428C2214yescomplemented
182#2426C2212yescomplemented
183#2425C2214yescomplemented
184#2425C2214yescomplemented
185#2424C2214yescomplemented
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2423C2214yescomplemented
189#2422C2214yescomplemented
190#2422C2212yescomplemented
191#2422C2214yescomplemented
192#2420C2212yescomplemented
193#2419C2214yescomplemented
194#2418C2214yescomplemented
195#2418C2214yescomplemented
196#2416C2212yescomplemented
197#2414C2214yescomplemented
198#2414C2214yescomplemented
199#2414C2212yescomplemented
200#2413C2214yescomplemented
201#2411C2214yescomplemented
202#2410C2214yescomplemented
203#2410C2214yescomplemented
204#2410C2214yescomplemented
205#2408C2212yes—
206#2408C2212yes—
207#2408C2214yescomplemented
208#2407C2212yescomplemented
209#2407C2214yescomplemented
210#2407C2212yescomplemented
211#2405C2214yescomplemented
212#2404C2214yescomplemented
213#2399C2211yescharacteristic, complemented
214#2398C2211yescharacteristic, complemented
215#2398C2211yescharacteristic, complemented
216#2397C2211yescharacteristic, complemented
217#2392C2212yescomplemented
218#2392C2212yescomplemented
219#2367C2212yes—
220#2364C2214yescomplemented
221#2362C2212yescomplemented
222#2361C2212yes—
223#2359C2214yescomplemented
224#2358C2214yescomplemented
225#2352C2212yescomplemented
226#2349C2212yescomplemented
227#2342C2214yescomplemented
228#2339C2212yescomplemented
229D4×C22⋊C4C2212yes—
230#2337C2214yescomplemented
231#2333C2214yescomplemented
232#2331C2211yescharacteristic, complemented
233#2331C2211yescharacteristic, complemented
234#2328C2211yescharacteristic
235#2328C2211yescharacteristic, complemented
236#2328C2211yescharacteristic, complemented
237#2328C2211yescharacteristic, complemented
238#2326C2211yescharacteristic
239#2326C2211yescharacteristic, complemented
240#2324C2212yes—
241#2324C2214yescomplemented
242#2324C2212yescomplemented
243#2324C2212yescomplemented
244#2324C2212yescomplemented
245#2324C2212yescomplemented
246#2323C2212yescomplemented
247#2322C2214yescomplemented
248#2321C2214yescomplemented
249#2321C2214yescomplemented
250#2317C2211yescharacteristic, complemented
251#2311C2211yescharacteristic, complemented
252#2309C2211yescharacteristic
253C4×#127C2211yescharacteristic
254C4×#127C2211yescharacteristic, complemented
255C4×#124C2211yescharacteristic
256C4×#124C2211yescharacteristic, complemented
257C4×#121C2214yescomplemented
258C4×#121C2214yescomplemented
259C4×#120C2214yescomplemented
260#2297C2214yescomplemented
261#2293C2212yescomplemented
262#2293C2212yescomplemented
263#2293C2212yescomplemented
264#2290C2214yescomplemented
265C2×#388C2214yescomplemented
266#2283C2211yescharacteristic, complemented
267C42×D4C2212yescomplemented
268C4×#117C2211yescharacteristic, complemented
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2312yes—
273C22×#41C2312yes—
274C22×#41C2312yes—
275C23×D4C2311yescharacteristic
276C23×D4C2312yes—
277C23×D4C2314yes—
278C23×D4C2312yes—
279C24×C4C2312yes—
280#557—28no—
281#555—28no—
282#554—28no—
283#553—216no—
284#553—216no—
285#553—216no—
286#553—232no—
287#550—216no—
288#550—28no—
289#550—28no—
290#550—28no—
291#550—216no—
292#547—216no—
293#547—28no—
294#546—232no—
295#546—216no—
296#546—216no—
297D42—28no—
298D42—216no—
299#540—232no—
300#540—216no—
301#540—216no—
302#538—232no—
303#535—28no—
304#532—216no—
305#532D4116yescomplemented
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2314yes—
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2314yes—
315C2×#127C2311yescharacteristic
316#529—216no—
317#529—28no—
318#529—28no—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334#525—216no—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×#121—216no—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401#520—216no—
402#518—216no—
403C4×#41—28no—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×D4—28no—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×#117C2311yescharacteristic
446C2×#117C2311yescharacteristic
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2314yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2311yescharacteristic
454C2×#117C2314yes—
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2314yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2314yes—
461C22×C22⋊C4C2314yes—
462C22×C22⋊C4C2314yes—
463C22×C22⋊C4C2314yes—
464C22×C42C2312yes—
465C22×C42C2314yes—
466C22×C42C2311yescharacteristic
467#400C2312yes—
468#400C2314yes—
469#400C2314yes—
470#400C2312yes—
471#400C2312yes—
472#399C2312yes—
473#399C2312yes—
474#399C2312yes—
475#399C2312yes—
476#399C2312yes—
477#399C2314yes—
478#399C2314yes—
479#398C2314yes—
480#398C2312yes—
481#398C2312yes—
482#398C2312yes—
483#398C2312yes—
484#398C2312yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2312yes—
496#397C2312yes—
497#397C2312yes—
498#397C2312yes—
499#397C2312yes—
500#397C2314yes—
501#397C2314yes—
502#396C2312yes—
503#396C2312yes—
504#396C2312yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#395C2312yes—
511#395C2312yes—
512#395C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#393C2312yes—
544#393C2312yes—
545#393C2312yes—
546#393C2312yes—
547#393C2312yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2312yes—
553#392C2312yes—
554#392C2312yes—
555#392C2312yes—
556#392C2312yes—
557#392C2312yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2314yes—
575#391C2314yes—
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2314yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2314yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
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#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2314yes—
718#383C2312yes—
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2311yescharacteristic
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#381C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#379C2314yes—
738#379C2314yes—
739#379C2314yes—
740#379C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C22⋊C4C2312yes—
750C4×C22⋊C4C2312yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2314yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2312yes—
757C4×C22⋊C4C2312yes—
758C4×C22⋊C4C2314yes—
759C4×C22⋊C4C2314yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2314yes—
764#376C2311yescharacteristic
765#376C2311yescharacteristic
766#376C2312yes—
767C2×#95C2314yes—
768C2×#95C2314yes—
769C43C2311yescharacteristic
770C43C2311yescharacteristic
771C25C2414yes—
772C25C2412yes—
773C2×#41—28no—
774C2×#41—24no—
775C2×#41—28no—
776C2×#41—28no—
777C2×#41—28no—
778C2×#41—28no—
779C2×#41—24no—
780C2×#41—42no—
781C2×#41—44no—
782C2×#41—84no—
783C2×#41—84no—
784C2×#41—84no—
785C2×#41—84no—
786C2×#41C2×D4116yes—
787C22×Q8C2411yescharacteristic
788C22×Q8C2411yescharacteristic
789C22×Q8C2411yescharacteristic
790C22×Q8C2412yes—
791C22×D4—28no—
792C22×D4—24no—
793C22×D4—28no—
794C22×D4—28no—
795C22×D4—216no—
796C22×D4—24no—
797C22×D4—42no—
798C22×D4—44no—
799C22×D4—84no—
800C22×D4—84no—
801C22×D4—84no—
802C22×D4C2411yescharacteristic
803C22×D4C2411yescharacteristic
804C22×D4C2412yes—
805C22×D4C2414yes—
806C22×D4C2412yes—
807C22×D4C2414yes—
808C22×D4C2412yes—
809C22×D4C2411yescharacteristic
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C22×D4C2414yes—
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2414yes—
823C22×D4C2414yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C23×C4—28no—
833C23×C4—84no—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2411yescharacteristic
855C4⋊Q8—28no—
856C4⋊Q8C2×D418yes—
857#127—28no—
858#127—28no—
859#127—216no—
860#127—28no—
861#127—24no—
862#127—24no—
863#127—84no—
864#127C2×D418yes—
865#126—216no—
866#126—216no—
867#126—28no—
868#126—28no—
869#125—28no—
870#125—216no—
871#125—28no—
872#125—24no—
873#125—24no—
874#124—216no—
875#124—24no—
876#124—24no—
877#124—24no—
878#124C2×D4116yes—
879#124#4118yescomplemented
880#123—216no—
881#123—28no—
882#123—28no—
883#123—216no—
884#123—216no—
885#123—216no—
886#123—216no—
887#123—216no—
888#123—216no—
889#123—216no—
890#123—84no—
891#123—84no—
892#123—84no—
893#123—84no—
894C22⋊Q8—28no—
895C22⋊Q8—216no—
896C22⋊Q8—28no—
897C22⋊Q8—24no—
898C22⋊Q8—24no—
899C22⋊Q8—28no—
900#121—216no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—216no—
905#121—28no—
906#121—216no—
907#121—216no—
908#121—216no—
909#121—28no—
910#121—216no—
911#121—28no—
912#121—24no—
913#121—24no—
914#121—216no—
915#121—216no—
916#121—28no—
917#121—28no—
918#121—28no—
919#121—216no—
920#121—216no—
921#121—216no—
922#121—216no—
923#121—216no—
924#121—216no—
925#121—44no—
926#121—44no—
927#121—84no—
928#121—84no—
929#121—84no—
930#121—84no—
931#121—84no—
932#121—84no—
933#121—84no—
934#121C2×D4116yes—
935#121C2×D4116yes—
936#120—216no—
937#120—216no—
938#120—216no—
939#120—216no—
940#120—216no—
941#120—84no—
942#120—84no—
943#120—84no—
944#120—84no—
945C4×Q8—28no—
946C4×Q8—28no—
947C4×Q8—24no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—216no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—216no—
958C4×D4—216no—
959C4×D4—28no—
960C4×D4—28no—
961C4×D4—28no—
962C4×D4—216no—
963C4×D4—216no—
964C4×D4—216no—
965C4×D4—216no—
966C4×D4—24no—
967C4×D4—28no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—28no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—84no—
981C4×D4—84no—
982C4×D4—84no—
983C4×D4C2×D4116yes—
984C4×D4C2×D4116yes—
985#117—24no—
986#117—28no—
987#117—28no—
988#117—216no—
989#117—28no—
990#117—28no—
991#117—28no—
992#117—24no—
993#117—42no—
994#117—84no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—216no—
997C2×C4⋊C4—28no—
998C2×C4⋊C4—28no—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C22⋊C4—28no—
1046C2×C22⋊C4—216no—
1047C2×C22⋊C4—216no—
1048C2×C22⋊C4—216no—
1049C2×C22⋊C4—84no—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C42—28no—
1121C2×C42—84no—
1122C2×C42C2×D418yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185C24—24no—
1186C24—28no—
1187C24—28no—
1188C24—24no—
1189C24—42no—
1190C24—44no—
1191C24—44no—
1192C24—44no—
1193C24—44no—
1194C24—44no—
1195C24—44no—
1196C24—44no—
1197C24C2512yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2512yes—
1201C24C2511yescharacteristic
1202C24C2514yes—
1203C24C2512yes—
1204#41—416no—
1205#41—432no—
1206#41—816no—
1207#41—816no—
1208#41—816no—
1209#41—816no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—44no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8C22×D418yes—
1218C2×Q8C2×#4114yes—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—28no—
1232C2×D4—28no—
1233C2×D4—28no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—416no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—432no—
1302C2×D4—816no—
1303C2×D4—832no—
1304C2×D4C22×D418yes—
1305C2×D4C22×D418yes—
1306C2×D4C22×D4116yes—
1307C2×D4C22×D418yes—
1308C2×D4C2×#4114yes—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—28no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—28no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—28no—
1331C22×C4—24no—
1332C22×C4—28no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—816no—
1360C22×C4C22×D414yes—
1361C22×C4C22×D414yes—
1362C22×C4C22×D414yes—
1363C22×C4C22×D4116yes—
1364C22×C4C2514yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2511yescharacteristic
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—28no—
1397C4⋊C4—28no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—28no—
1408C4⋊C4—28no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—28no—
1417C4⋊C4—24no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4C22×D418yes—
1433C4⋊C4C22×D418yes—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4C22×D4116yes—
1502C22⋊C4C22×D4116yes—
1503C22⋊C4C2×#41116yes—
1504C42—24no—
1505C42—24no—
1506C42—24no—
1507C42—28no—
1508C42—24no—
1509C42—28no—
1510C42—24no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—42no—
1515C42—44no—
1516C42—44no—
1517C42—44no—
1518C42—42no—
1519C42—42no—
1520C42—42no—
1521C42C22×D414yes—
1522C42C22×D414yes—
1523C42C22×D414yes—
1524C42C22×D414yes—
1525C42C2×#4114yes—
1526C23—22no—
1527C23—21no—
1528C23—24no—
1529C23—21no—
1530C23—24no—
1531C23—22no—
1532C23—22no—
1533C23—24no—
1534C23—24no—
1535C23—24no—
1536C23—24no—
1537C23—24no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—24no—
1554C23—22no—
1555C23—22no—
1556C23—24no—
1557C23—24no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—48no—
1565C23—416no—
1566C23—48no—
1567C23—84no—
1568C23—88no—
1569C23—88no—
1570C23—88no—
1571C23—88no—
1572C23—88no—
1573C23—88no—
1574C23—164no—
1575C23—164no—
1576C23C23×D412yes—
1577C23C23×D418yes—
1578C23C22×#4114yes—
1579C23C2611yescharacteristic
1580Q8—28no—
1581Q8—48no—
1582Q8—44no—
1583Q8—44no—
1584D4—28no—
1585D4—216no—
1586D4—416no—
1587D4—48no—
1588D4—48no—
1589D4—48no—
1590D4—48no—
1591D4—416no—
1592D4—44no—
1593D4—44no—
1594D4—416no—
1595D4—48no—
1596D4—44no—
1597D4—44no—
1598D4—88no—
1599D4—84no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—84no—
1604D4—88no—
1605D4—88no—
1606D4—88no—
1607D4—88no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—84no—
1612D4—164no—
1613D4—164no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—28no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—44no—
1669C2×C4—416no—
1670C2×C4—44no—
1671C2×C4—48no—
1672C2×C4—416no—
1673C2×C4—48no—
1674C2×C4—48no—
1675C2×C4—48no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—84no—
1679C2×C4—88no—
1680C2×C4—84no—
1681C2×C4—84no—
1682C2×C4—88no—
1683C2×C4—88no—
1684C2×C4—84no—
1685C2×C4—88no—
1686C2×C4—88no—
1687C2×C4—88no—
1688C2×C4C23×D412yes—
1689C2×C4C23×D412yes—
1690C2×C4C23×D412yes—
1691C2×C4C23×D418yes—
1692C2×C4C23×D412yes—
1693C2×C4C23×D412yes—
1694C2×C4C23×D412yes—
1695C2×C4C22×#4114yes—
1696C2×C4C22×#4114yes—
1697C2×C4C22×#4112yes—
1698C2×C4#58512yes—
1699C22—28no—
1700C22—22no—
1701C22—22no—
1702C22—28no—
1703C22—28no—
1704C22—22no—
1705C22—28no—
1706C22—24no—
1707C22—42no—
1708C22—42no—
1709C22—44no—
1710C22—44no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—44no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—44no—
1725C22—42no—
1726C22—42no—
1727C22—44no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—44no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—816no—
1741C22—1616no—
1742C22C24×D411yescharacteristic
1743C22C23×#4111yescharacteristic
1744C22C2×#58511yescharacteristic
1745C22H(7,𝔽2)12yes—
1746C22H(7,𝔽2)12yes—
1747C4—22no—
1748C4—22no—
1749C4—28no—
1750C4—22no—
1751C4—22no—
1752C4—24no—
1753C4—22no—
1754C4—24no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—44no—
1764C4—42no—
1765C4—42no—
1766C4—44no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4D4×#4114yes—
1771C2—42no—
1772C2—44no—
1773C2—48no—
1774C2—82no—
1775C2—82no—
1776C2—82no—
1777C2—82no—
1778C2C2×D4×#4111yescharacteristic
1779C2#6284211yescharacteristic
1780C2#6285211yescharacteristic
1781C2#6285812yes—
1782C2#6288312yes—
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×#3517C2semidirect
2. C2×#3519C2semidirect
3. #45386C2semidirect
4. #45352C2semidirect
5. #45271C2semidirect
6. #45270C2semidirect
7. #45139C2semidirect
8. #45135C2semidirect
9. #44936C2semidirect
10. #44935C2semidirect
11. #44933C2semidirect
12. #44932C2semidirect
13. #44931C2semidirect
14. #44927C2semidirect
15. #39957C2semidirect
16. #39940C2semidirect
17. #38428C2semidirect
18. #38423C2semidirect
19. #37808C2semidirect
20. #37802C2semidirect
21. #37728C2semidirect
22. #37722C2semidirect
23. #35601C2semidirect
24. #35538C2semidirect
25. #35232C2semidirect
26. #35210C2semidirect
27. #35171C2semidirect
28. #34643C2semidirect
29. #34309C2semidirect
30. C4×#535C2semidirect
31. #34086C2semidirect
34. C2×#557C22semidirect
39. C2×#553C22semidirect
40. C2×#553C22semidirect
42. C2×#550C22semidirect
43. C2×#550C22semidirect
44. C2×#550C22semidirect
45. C2×#550C22semidirect
46. C2×#547C22semidirect
47. C2×#547C22semidirect
54. C2×#540C22semidirect
55. C2×#540C22semidirect
59. C2×#532C22semidirect
61. C2×#529C22semidirect
62. C2×#529C22semidirect
65. C2×#520C22semidirect
67. C2×C4×#41C22semidirect
69. #2856C22semidirect
70. #2854C22semidirect
71. #2852C22semidirect
72. #2849C22semidirect
73. #2731C22semidirect
74. #2730C22semidirect
75. #2729C22semidirect
76. #2728C22semidirect
77. #2722C22semidirect
78. #2720C22semidirect
79. #2718C22semidirect
80. #2711C22semidirect
81. #2703C22semidirect
82. #2701C22semidirect
83. #2699C22semidirect
84. #2697C22semidirect
85. #2696C22semidirect
86. #2691C22semidirect
87. #2691C22semidirect
88. #2688C22semidirect
89. #2688C22semidirect
90. #2685C22semidirect
91. #2678C22semidirect
92. #2675C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2671C22semidirect
97. #2671C22semidirect
98. #2671C22semidirect
99. #2671C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2668C22semidirect
104. #2668C22semidirect
105. #2664C22semidirect
106. #2664C22semidirect
107. #2663C22semidirect
108. #2663C22semidirect
109. #2662C22semidirect
110. #2662C22semidirect
112. #2661C22semidirect
113. #2661C22semidirect
114. #2661C22semidirect
115. #2638C22semidirect
117. #2633C22semidirect
118. #2631C22semidirect
119. #2611C22semidirect
120. #2610C22semidirect
121. #2603C22semidirect
122. #2602C22semidirect
123. #2602C22semidirect
124. #2602C22semidirect
125. #2591C22semidirect
126. #2581C22semidirect
128. #2580C22semidirect
129. #2580C22semidirect
130. #2561C22semidirect
131. #2552C22semidirect
132. #2541C22semidirect
133. #2541C22semidirect
134. #2539C22semidirect
135. #2539C22semidirect
136. #2537C22semidirect
137. #2536C22semidirect
139. #2535C22semidirect
140. #2535C22semidirect
141. #2490C22semidirect
142. #2490C22semidirect
143. #2486C22semidirect
144. #2485C22semidirect
145. #2476C22semidirect
146. #2475C22semidirect
147. #2473C22semidirect
148. #2471C22semidirect
149. #2470C22semidirect
150. #2468C22semidirect
151. #2466C22semidirect
152. #2464C22semidirect
153. #2464C22semidirect
154. #2464C22semidirect
155. #2464C22semidirect
156. #2457C22semidirect
157. #2456C22semidirect
158. #2456C22semidirect
159. #2455C22semidirect
161. #2453C22semidirect
162. #2448C22semidirect
163. #2445C22semidirect
164. #2445C22semidirect
165. #2445C22semidirect
166. #2444C22semidirect
167. #2444C22semidirect
168. #2443C22semidirect
169. #2442C22semidirect
170. #2441C22semidirect
172. #2433C22semidirect
173. #2431C22semidirect
174. #2431C22semidirect
175. #2430C22semidirect
176. #2430C22semidirect
177. #2430C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2426C22semidirect
183. #2425C22semidirect
184. #2425C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
188. #2423C22semidirect
189. #2422C22semidirect
190. #2422C22semidirect
191. #2422C22semidirect
192. #2420C22semidirect
193. #2419C22semidirect
194. #2418C22semidirect
195. #2418C22semidirect
196. #2416C22semidirect
197. #2414C22semidirect
198. #2414C22semidirect
199. #2414C22semidirect
200. #2413C22semidirect
201. #2411C22semidirect
202. #2410C22semidirect
203. #2410C22semidirect
204. #2410C22semidirect
207. #2408C22semidirect
208. #2407C22semidirect
209. #2407C22semidirect
210. #2407C22semidirect
211. #2405C22semidirect
212. #2404C22semidirect
213. #2399C22semidirect
214. #2398C22semidirect
215. #2398C22semidirect
216. #2397C22semidirect
217. #2392C22semidirect
218. #2392C22semidirect
220. #2364C22semidirect
221. #2362C22semidirect
223. #2359C22semidirect
224. #2358C22semidirect
225. #2352C22semidirect
226. #2349C22semidirect
227. #2342C22semidirect
228. #2339C22semidirect
230. #2337C22semidirect
231. #2333C22semidirect
232. #2331C22semidirect
233. #2331C22semidirect
235. #2328C22semidirect
236. #2328C22semidirect
237. #2328C22semidirect
239. #2326C22semidirect
241. #2324C22semidirect
242. #2324C22semidirect
243. #2324C22semidirect
244. #2324C22semidirect
245. #2324C22semidirect
246. #2323C22semidirect
247. #2322C22semidirect
248. #2321C22semidirect
249. #2321C22semidirect
250. #2317C22semidirect
251. #2311C22semidirect
254. C4×#127C22semidirect
256. C4×#124C22semidirect
257. C4×#121C22semidirect
258. C4×#121C22semidirect
259. C4×#120C22semidirect
260. #2297C22semidirect
261. #2293C22semidirect
262. #2293C22semidirect
263. #2293C22semidirect
264. #2290C22semidirect
265. C2×#388C22semidirect
266. #2283C22semidirect
267. C42×D4C22semidirect
268. C4×#117C22semidirect
305. #532D4semidirect
879. #124#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#35192
#453862
#453522
#452712
#452702
#451392
#451352
#449362
#449352
#449332
#449322
#449312
#449272
#399572
#399402
#384282
#384232
#378082
#378022
#377282
#377222
#356012
#355382
#352322
#352102
#351712
#346432
#343092
C4×#5352
#340862