Finite Group Databasebeta

← #7732653

Subgroups — #7732653

Order 512.

7921 conjugacy classes of subgroups.

The subgroup lattice has 1863 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3508C211yesmaximal, characteristic, complemented
2C2×#3558C211yesmaximal, characteristic, complemented
3#51208C212yesmaximal, complemented
4#51068C212yesmaximal, complemented
5#50893C212yesmaximal, complemented
6#50690C212yesmaximal, complemented
7#47213C212yesmaximal, complemented
8#46813C212yesmaximal, complemented
9#46424C212yesmaximal, complemented
10#46355C212yesmaximal, complemented
11#45241C212yesmaximal, complemented
12#45134C212yesmaximal, complemented
13#44927C212yesmaximal, complemented
14#44877C212yesmaximal, complemented
15#39957C214yesmaximal, complemented
16#39953C212yesmaximal, complemented
17#39953C212yesmaximal, complemented
18#38424C214yesmaximal, complemented
19#37773C212yesmaximal, complemented
20#37772C212yesmaximal, complemented
21#37682C212yesmaximal, complemented
22#37674C212yesmaximal, complemented
23#37559C211yesmaximal, characteristic, complemented
24#36744C214yesmaximal, complemented
25#36469C212yesmaximal, complemented
26#36260C212yesmaximal, complemented
27#35361C214yesmaximal, complemented
28#35329C211yesmaximal, characteristic, complemented
29#35129C211yesmaximal, characteristic, complemented
30#34910C211yesmaximal, characteristic, complemented
31#34086C211yesmaximal, characteristic, complemented
32#3558—216no—
33C2×#562C2212yescomplemented
34C2×H(3,𝔽4)C2212yescomplemented
35#3508—216no—
36C2×#559C2212yescomplemented
37C2×#559C2212yescomplemented
38C2×#559C2212yescomplemented
39C2×#550C2212yescomplemented
40C2×#550C2212yescomplemented
41C2×#548C2212yescomplemented
42C2×#547C2212yescomplemented
43C2×#546C2212yescomplemented
44C2×#546C2214yescomplemented
45C2×#546C2212yescomplemented
46C2×#546C2212yescomplemented
47C2×#546C2212yescomplemented
48C2×#546C2212yescomplemented
49C2×#546C2212yescomplemented
50C2×#546C2212yescomplemented
51C2×D42C2212yescomplemented
52C2×D42C2212yescomplemented
53C2×#542C2212yescomplemented
54C2×#540C2212yescomplemented
55C2×#540C2212yescomplemented
56C2×#538C2214yescomplemented
57C2×#538C2212yescomplemented
58C2×#536C2212yescomplemented
59C2×#535C2212yes—
60C2×#535C2212yescomplemented
61C2×#535C2212yescomplemented
62C2×#534C2212yescomplemented
63C2×#533C2211yescharacteristic, complemented
64C2×#532C2211yescharacteristic
65C2×#532C2211yescharacteristic, complemented
66C2×#532C2211yescharacteristic, complemented
67C2×#532C2211yescharacteristic, complemented
68C22×#127C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic, complemented
70C22×#124C2211yescharacteristic, complemented
71C2×#518C2212yescomplemented
72C2×C4×#41C2211yescharacteristic, complemented
73#2858C2212yescomplemented
74#2858C2212yescomplemented
75#2856C2214yescomplemented
76#2854C2214yescomplemented
77#2850C2212yescomplemented
78#2850C2212yescomplemented
79#2816C2212yescomplemented
80#2815C2212yescomplemented
81#2733C2214yescomplemented
82#2732C2214yescomplemented
83#2730C2214yescomplemented
84#2730C2214yescomplemented
85#2721C2214yescomplemented
86#2714C2214yescomplemented
87#2710C2214yescomplemented
88#2710C2214yescomplemented
89#2706C2214yescomplemented
90#2706C2214yescomplemented
91#2694C2214yescomplemented
92#2682C2214yescomplemented
93#2681C2214yescomplemented
94#2680C2214yescomplemented
95#2679C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2676C2214yescomplemented
102#2675C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2672C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2671C2214yescomplemented
112#2670C2214yescomplemented
113#2670C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2668C2214yescomplemented
119#2668C2214yescomplemented
120#2668C2214yescomplemented
121#2661C2214yescomplemented
122#2661C2214yescomplemented
123#2661C2214yescomplemented
124#2658C2212yescomplemented
125#2657C2212yescomplemented
126#2633C2212yescomplemented
127#2632C2212yescomplemented
128#2631C2212yescomplemented
129#2631C2212yescomplemented
130#2621C2212yescomplemented
131#2619C2212yescomplemented
132#2610C2212yescomplemented
133#2610C2212yescomplemented
134#2603C2214yescomplemented
135#2602C2212yescomplemented
136#2602C2214yescomplemented
137#2602C2212yescomplemented
138#2602C2214yescomplemented
139#2601C2212yescomplemented
140#2601C2212yescomplemented
141#2592C2212yescomplemented
142#2592C2212yescomplemented
143#2566C2211yescharacteristic, complemented
144#2565C2211yescharacteristic, complemented
145#2557C2214yescomplemented
146#2557C2214yescomplemented
147#2547C2212yescomplemented
148#2545C2211yescharacteristic, complemented
149#2544C2212yescomplemented
150#2544C2212yescomplemented
151#2544C2211yescharacteristic, complemented
152#2542C2212yescomplemented
153#2541C2212yes—
154#2541C2212yescomplemented
155#2540C2212yes—
156#2540C2212yescomplemented
157#2540C2212yescomplemented
158#2540C2214yescomplemented
159#2540C2212yescomplemented
160#2540C2212yescomplemented
161#2540C2212yescomplemented
162#2539C2212yescomplemented
163#2539C2214yescomplemented
164#2539C2212yescomplemented
165#2539C2214yescomplemented
166#2539C2214yescomplemented
167#2539C2214yescomplemented
168#2539C2214yescomplemented
169#2501C2214yescomplemented
170#2500C2211yescharacteristic, complemented
171#2499C2211yescharacteristic, complemented
172#2491C2214yescomplemented
173#2482C2212yescomplemented
174#2479C2214yescomplemented
175#2472C2214yescomplemented
176#2471C2214yescomplemented
177#2467C2214yescomplemented
178#2464C2214yescomplemented
179#2461C2214yescomplemented
180#2456C2214yescomplemented
181#2449C2214yescomplemented
182#2448C2214yescomplemented
183#2445C2214yescomplemented
184#2443C2214yescomplemented
185#2443C2214yescomplemented
186#2443C2214yescomplemented
187#2437C2214yescomplemented
188#2435C2212yescomplemented
189#2435C2212yescomplemented
190#2433C2212yes—
191#2433C2212yescomplemented
192#2433C2214yescomplemented
193#2433C2214yescomplemented
194#2432C2212yescomplemented
195#2432C2212yescomplemented
196#2432C2211yescharacteristic, complemented
197#2431C2211yescharacteristic
198#2431C2212yescomplemented
199#2431C2212yescomplemented
200#2431C2214yescomplemented
201#2429C2212yescomplemented
202#2429C2212yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2427C2212yescomplemented
206#2427C2212yescomplemented
207#2426C2212yescomplemented
208#2426C2212yescomplemented
209#2424C2214yescomplemented
210#2424C2214yescomplemented
211#2423C2214yescomplemented
212#2422C2214yescomplemented
213#2422C2214yescomplemented
214#2418C2214yescomplemented
215#2418C2214yescomplemented
216#2418C2214yescomplemented
217#2414C2214yescomplemented
218#2414C2214yescomplemented
219#2411C2214yescomplemented
220#2411C2214yescomplemented
221#2410C2214yescomplemented
222#2410C2214yescomplemented
223#2410C2214yescomplemented
224#2410C2214yescomplemented
225#2409C2211yescharacteristic, complemented
226#2409C2211yescharacteristic, complemented
227#2408C2211yescharacteristic
228#2408C2214yescomplemented
229#2408C2211yescharacteristic, complemented
230#2407C2214yescomplemented
231#2407C2212yescomplemented
232#2407C2212yescomplemented
233#2404C2212yescomplemented
234#2403C2214yescomplemented
235#2403C2214yescomplemented
236#2403C2214yescomplemented
237#2392C2212yescomplemented
238#2392C2212yescomplemented
239#2367C2212yescomplemented
240#2367C2212yescomplemented
241#2366C2212yescomplemented
242#2365C2212yescomplemented
243#2337C2212yescomplemented
244#2337C2212yescomplemented
245#2333C2212yescomplemented
246#2333C2212yescomplemented
247#2331C2212yescomplemented
248#2328C2212yescomplemented
249#2324C2212yescomplemented
250#2324C2212yescomplemented
251#2321C2214yescomplemented
252#2321C2214yescomplemented
253#2321C2212yescomplemented
254#2321C2212yescomplemented
255C4×C4⋊Q8C2211yescharacteristic, complemented
256C4×#127C2211yescharacteristic, complemented
257C4×#124C2211yescharacteristic, complemented
258C4×#124C2211yescharacteristic, complemented
259C4×#121C2214yescomplemented
260#2297C2214yescomplemented
261#2293C2212yescomplemented
262C2×#390C2214yescomplemented
263#2290C2214yescomplemented
264#2290C2212yescomplemented
265#2290C2212yescomplemented
266#2283C2211yescharacteristic, complemented
267C42×D4C2212yescomplemented
268C4×#117C2211yescharacteristic, complemented
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C22×#41C2312yes—
272C22×#41C2312yes—
273C22×#41C2312yes—
274C22×#41C2312yes—
275C23×Q8C2311yescharacteristic
276C23×D4C2312yes—
277C23×D4C2311yescharacteristic
278C23×D4C2312yes—
279C23×D4C2312yes—
280C23×D4C2312yes—
281C23×D4C2314yes—
282C23×D4C2314yes—
283#562—216no—
284H(3,𝔽4)—216no—
285#559—216no—
286#559—216no—
287#559—216no—
288#550—216no—
289#550—216no—
290#548—216no—
291#547—48no—
292#546—216no—
293#546—232no—
294#546—216no—
295#546—216no—
296#546—216no—
297#546—216no—
298#546—48no—
299#546—48no—
300D42—216no—
301D42—48no—
302#542—216no—
303#540—216no—
304#540—216no—
305#538—216no—
306#538—232no—
307#536—48no—
308#535—216no—
309#535—216no—
310#535—48no—
311#534—216no—
312#533—28no—
313#532—28no—
314#532—28no—
315#532—28no—
316#532D4116yescomplemented
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×#127—28no—
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2314yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2311yescharacteristic
331C2×#127C2312yes—
332C2×#127C2314yes—
333C2×#127C2311yescharacteristic
334#529—28no—
335C2×#126C2312yes—
336C2×#126C2314yes—
337C2×#125C2311yescharacteristic
338C2×#125C2312yes—
339C2×#124—28no—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2311yescharacteristic
347C2×#124C2312yes—
348C2×#124C2314yes—
349C2×#124C2314yes—
350C2×#124C2314yes—
351C2×#124C2312yes—
352C2×#124C2312yes—
353C2×#124C2312yes—
354C2×#124C2314yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2311yescharacteristic
358C2×#124C2311yescharacteristic
359C2×#124C2312yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2312yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2311yescharacteristic
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×#120C2312yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2312yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439#518—216no—
440C4×#41—28no—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C2×#117C2312yes—
477C2×#117C2311yescharacteristic
478C2×#117C2312yes—
479C2×#117C2314yes—
480C22×C4⋊C4C2314yes—
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2314yes—
483C22×C22⋊C4C2314yes—
484C22×C22⋊C4C2314yes—
485C22×C22⋊C4C2312yes—
486C22×C22⋊C4C2314yes—
487C22×C22⋊C4C2314yes—
488C22×C42C2311yescharacteristic
489C22×C42C2311yescharacteristic
490C22×C42C2314yes—
491C22×C42C2311yescharacteristic
492#399C2314yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2314yes—
502#398C2314yes—
503#398C2312yes—
504#398C2312yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2312yes—
511#397C2312yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#396C2312yes—
519#396C2312yes—
520#396C2312yes—
521#396C2312yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#395C2312yes—
527#395C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2312yes—
561#393C2312yes—
562#392C2312yes—
563#392C2312yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2312yes—
568#392C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2314yes—
596#391C2314yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2314yes—
634#390C2314yes—
635#390C2314yes—
636#390C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2314yes—
642#389C2314yes—
643#389C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2314yes—
731#383C2312yes—
732#382C2311yescharacteristic
733#382C2311yescharacteristic
734#382C2312yes—
735#381C2312yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#379C2314yes—
743#379C2312yes—
744#379C2312yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C22⋊C4C2312yes—
758C4×C22⋊C4C2314yes—
759C4×C22⋊C4C2311yescharacteristic
760C4×C22⋊C4C2311yescharacteristic
761C4×C22⋊C4C2314yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771#376C2312yes—
772#376C2312yes—
773C43C2311yescharacteristic
774C43C2311yescharacteristic
775C25C2414yes—
776C25C2412yes—
777C25C2414yes—
778C2×#41—28no—
779C2×#41—28no—
780C2×#41—28no—
781C2×#41—24no—
782C2×#41—28no—
783C2×#41—42no—
784C2×#41—42no—
785C2×#41—44no—
786C2×#41—44no—
787C2×#41—44no—
788C2×#41—44no—
789C2×#41—44no—
790C2×#41—44no—
791C2×#41—84no—
792C2×#41—84no—
793C2×#41C2×D4116yescomplemented
794C22×Q8—24no—
795C22×Q8—44no—
796C22×Q8C2412yes—
797C22×Q8C2412yes—
798C22×Q8C2411yescharacteristic
799C22×Q8C2411yescharacteristic
800C22×Q8C2412yes—
801C22×Q8C2412yes—
802C22×D4—28no—
803C22×D4—28no—
804C22×D4—28no—
805C22×D4—216no—
806C22×D4—28no—
807C22×D4—24no—
808C22×D4—44no—
809C22×D4—44no—
810C22×D4—48no—
811C22×D4—44no—
812C22×D4—44no—
813C22×D4—44no—
814C22×D4—44no—
815C22×D4—44no—
816C22×D4—48no—
817C22×D4—84no—
818C22×D4—84no—
819C22×D4—84no—
820C22×D4—84no—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C4⋊Q8—24no—
876C4⋊Q8—28no—
877C4⋊Q8—44no—
878C4⋊Q8—42no—
879C4⋊Q8C2×D418yescomplemented
880#127—28no—
881#127—28no—
882#127—28no—
883#127—28no—
884#127—216no—
885#127—24no—
886#127—28no—
887#127—44no—
888#127—42no—
889#127—84no—
890#127C2×D418yes—
891#126—216no—
892#126—28no—
893#125—28no—
894#125—24no—
895#124—28no—
896#124—216no—
897#124—28no—
898#124—28no—
899#124—216no—
900#124—216no—
901#124—216no—
902#124—28no—
903#124—28no—
904#124—28no—
905#124—28no—
906#124—24no—
907#124—28no—
908#124—28no—
909#124—28no—
910#124—44no—
911#124—44no—
912#124—42no—
913#124—42no—
914#124C2×D4116yescomplemented
915#123—28no—
916#123—216no—
917#123—216no—
918#123—216no—
919#123—216no—
920#123—216no—
921#123—216no—
922#123—216no—
923#123—216no—
924#123—48no—
925#123—48no—
926#123—48no—
927#123—48no—
928#123—48no—
929#123—48no—
930C22⋊Q8—28no—
931C22⋊Q8—216no—
932C22⋊Q8—24no—
933C22⋊Q8—28no—
934C22⋊Q8—28no—
935C22⋊Q8—216no—
936C22⋊Q8—48no—
937C22⋊Q8—48no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942#121—28no—
943#121—28no—
944#121—216no—
945#121—216no—
946#121—216no—
947#121—216no—
948#121—216no—
949#121—24no—
950#121—28no—
951#121—28no—
952#121—216no—
953#121—216no—
954#121—28no—
955#121—28no—
956#121—28no—
957#121—216no—
958#121—216no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—44no—
965#121—44no—
966#121—48no—
967#121—44no—
968#121—44no—
969#121—48no—
970#121—84no—
971#121—84no—
972#121—84no—
973#121C2×D4116yescomplemented
974#121C2×D4116yescomplemented
975#120—216no—
976#120—216no—
977#120—216no—
978#120—216no—
979#120—216no—
980#120—216no—
981#120—216no—
982#120—44no—
983#120—48no—
984#120—48no—
985#120—48no—
986#120—48no—
987#120—48no—
988#120—48no—
989#120—48no—
990#120—48no—
991#120—44no—
992#120—84no—
993#120—84no—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×Q8—24no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—216no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—24no—
1007C4×D4—216no—
1008C4×D4—28no—
1009C4×D4—216no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—216no—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—28no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—28no—
1023C4×D4—84no—
1024C4×D4C2×D4116yescomplemented
1025C4×D4C2×D4116yescomplemented
1026#117—24no—
1027#117—28no—
1028#117—24no—
1029#117—24no—
1030#117—28no—
1031#117—28no—
1032#117—84no—
1033C2×C4⋊C4—48no—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C22⋊C4—216no—
1075C2×C22⋊C4—28no—
1076C2×C22⋊C4—28no—
1077C2×C22⋊C4—216no—
1078C2×C22⋊C4—216no—
1079C2×C22⋊C4—48no—
1080C2×C22⋊C4—48no—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C42—24no—
1157C2×C42—24no—
1158C2×C42—84no—
1159C2×C42C2×D418yescomplemented
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2414yes—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2414yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172C2×C42C2414yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2414yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—28no—
1218C24—24no—
1219C24—28no—
1220C24—28no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24—42no—
1234C24—42no—
1235C24—44no—
1236C24C2514yes—
1237C24C2512yes—
1238C24C2514yes—
1239C24C2511yescharacteristic
1240C24C2511yescharacteristic
1241C24C2514yes—
1242C24C2511yescharacteristic
1243#41—416no—
1244#41—816no—
1245#41—816no—
1246#41—816no—
1247#41—816no—
1248#41—816no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—24no—
1252C2×Q8—22no—
1253C2×Q8—24no—
1254C2×Q8—24no—
1255C2×Q8—24no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—22no—
1259C2×Q8—41no—
1260C2×Q8—44no—
1261C2×Q8—44no—
1262C2×Q8—41no—
1263C2×Q8—41no—
1264C2×Q8—88no—
1265C2×Q8C22×D418yes—
1266C2×D4—22no—
1267C2×D4—28no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—28no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—28no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—28no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—28no—
1289C2×D4—24no—
1290C2×D4—28no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—28no—
1300C2×D4—28no—
1301C2×D4—22no—
1302C2×D4—28no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—432no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—88no—
1366C2×D4—816no—
1367C2×D4—816no—
1368C2×D4—816no—
1369C2×D4—832no—
1370C2×D4—832no—
1371C2×D4C22×D418yes—
1372C2×D4C22×D418yes—
1373C2×D4C22×D4116yes—
1374C2×D4C22×D418yes—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—24no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—28no—
1381C22×C4—28no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—24no—
1388C22×C4—28no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—28no—
1394C22×C4—28no—
1395C22×C4—28no—
1396C22×C4—28no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—42no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4C22×D414yes—
1422C22×C4C22×D414yes—
1423C22×C4C22×D414yes—
1424C22×C4C22×D4116yes—
1425C22×C4C2514yes—
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2514yes—
1437C22×C4C2514yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2514yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—28no—
1462C4⋊C4—22no—
1463C4⋊C4—28no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4C22×D418yes—
1488C4⋊C4C22×D418yes—
1489C22⋊C4—28no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
1495C22⋊C4—28no—
1496C22⋊C4—24no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—28no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—28no—
1508C22⋊C4—28no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
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—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4C22×D4116yes—
1563C22⋊C4C22×D4116yes—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—28no—
1571C42—24no—
1572C42—28no—
1573C42—24no—
1574C42—42no—
1575C42—44no—
1576C42—44no—
1577C42—44no—
1578C42—42no—
1579C42—41no—
1580C42—41no—
1581C42—41no—
1582C42—41no—
1583C42C22×D414yes—
1584C42C22×D414yes—
1585C42C22×D414yes—
1586C42C22×D414yes—
1587C42H(5,𝔽2)18yes—
1588C23—21no—
1589C23—22no—
1590C23—22no—
1591C23—24no—
1592C23—24no—
1593C23—21no—
1594C23—21no—
1595C23—24no—
1596C23—24no—
1597C23—21no—
1598C23—24no—
1599C23—22no—
1600C23—24no—
1601C23—22no—
1602C23—22no—
1603C23—24no—
1604C23—24no—
1605C23—21no—
1606C23—24no—
1607C23—24no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—24no—
1612C23—24no—
1613C23—22no—
1614C23—24no—
1615C23—21no—
1616C23—24no—
1617C23—24no—
1618C23—24no—
1619C23—21no—
1620C23—22no—
1621C23—24no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—24no—
1627C23—24no—
1628C23—416no—
1629C23—48no—
1630C23—84no—
1631C23—88no—
1632C23—88no—
1633C23—88no—
1634C23—88no—
1635C23—88no—
1636C23—84no—
1637C23—88no—
1638C23—88no—
1639C23—88no—
1640C23—88no—
1641C23—164no—
1642C23—164no—
1643C23—164no—
1644C23—164no—
1645C23—164no—
1646C23—164no—
1647C23C23×D418yes—
1648C23C23×D412yes—
1649C23#58512yes—
1650C23C2611yescharacteristic
1651Q8—48no—
1652Q8—44no—
1653Q8—48no—
1654Q8—48no—
1655Q8—82no—
1656Q8—84no—
1657D4—216no—
1658D4—48no—
1659D4—48no—
1660D4—416no—
1661D4—416no—
1662D4—48no—
1663D4—44no—
1664D4—44no—
1665D4—48no—
1666D4—48no—
1667D4—44no—
1668D4—48no—
1669D4—48no—
1670D4—48no—
1671D4—82no—
1672D4—84no—
1673D4—88no—
1674D4—84no—
1675D4—88no—
1676D4—88no—
1677D4—88no—
1678D4—88no—
1679D4—88no—
1680D4—88no—
1681D4—88no—
1682D4—88no—
1683D4—88no—
1684D4—88no—
1685D4—88no—
1686D4—88no—
1687D4—88no—
1688D4—164no—
1689D4—164no—
1690D4—164no—
1691D4—164no—
1692C2×C4—28no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—28no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—24no—
1724C2×C4—24no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—24no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—24no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—44no—
1748C2×C4—416no—
1749C2×C4—44no—
1750C2×C4—416no—
1751C2×C4—44no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—48no—
1756C2×C4—44no—
1757C2×C4—88no—
1758C2×C4—88no—
1759C2×C4—88no—
1760C2×C4—88no—
1761C2×C4—84no—
1762C2×C4—88no—
1763C2×C4—88no—
1764C2×C4C23×D412yes—
1765C2×C4C23×D412yes—
1766C2×C4C23×D418yes—
1767C2×C4C23×D412yes—
1768C2×C4C23×D412yes—
1769C2×C4C23×D412yes—
1770C2×C4C23×D412yes—
1771C2×C4C2×H(5,𝔽2)14yes—
1772C2×C4C2×H(5,𝔽2)14yes—
1773C2×C4C2×H(5,𝔽2)14yes—
1774C2×C4#58512yes—
1775C22—22no—
1776C22—28no—
1777C22—22no—
1778C22—22no—
1779C22—28no—
1780C22—22no—
1781C22—28no—
1782C22—24no—
1783C22—41no—
1784C22—41no—
1785C22—44no—
1786C22—44no—
1787C22—42no—
1788C22—44no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—41no—
1793C22—42no—
1794C22—44no—
1795C22—44no—
1796C22—41no—
1797C22—44no—
1798C22—42no—
1799C22—44no—
1800C22—41no—
1801C22—44no—
1802C22—44no—
1803C22—42no—
1804C22—42no—
1805C22—44no—
1806C22—44no—
1807C22—42no—
1808C22—42no—
1809C22—44no—
1810C22—44no—
1811C22—44no—
1812C22—44no—
1813C22—42no—
1814C22—44no—
1815C22—42no—
1816C22—44no—
1817C22—42no—
1818C22—1616no—
1819C22—168no—
1820C22—1616no—
1821C22C24×D411yescharacteristic
1822C22C22×H(5,𝔽2)12yes—
1823C22C2×#58511yescharacteristic
1824C22C2×#58511yescharacteristic
1825C22H(7,𝔽2)12yes—
1826C4—22no—
1827C4—22no—
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—22no—
1832C4—28no—
1833C4—24no—
1834C4—24no—
1835C4—41no—
1836C4—42no—
1837C4—41no—
1838C4—44no—
1839C4—44no—
1840C4—41no—
1841C4—42no—
1842C4—41no—
1843C4—41no—
1844C4—42no—
1845C4—44no—
1846C4—42no—
1847C4—44no—
1848C4—42no—
1849C4#349814yes—
1850C2—42no—
1851C2—48no—
1852C2—42no—
1853C2—81no—
1854C2—84no—
1855C2—82no—
1856C2—84no—
1857C2C2×#349811yescharacteristic
1858C2#6281111yescharacteristic
1859C2#6284211yescharacteristic
1860C2#6292412yes—
1861C2#6296112yes—
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×#3508C2semidirect
2. C2×#3558C2semidirect
3. #51208C2semidirect
4. #51068C2semidirect
5. #50893C2semidirect
6. #50690C2semidirect
7. #47213C2semidirect
8. #46813C2semidirect
9. #46424C2semidirect
10. #46355C2semidirect
11. #45241C2semidirect
12. #45134C2semidirect
13. #44927C2semidirect
14. #44877C2semidirect
15. #39957C2semidirect
16. #39953C2semidirect
17. #39953C2semidirect
18. #38424C2semidirect
19. #37773C2semidirect
20. #37772C2semidirect
21. #37682C2semidirect
22. #37674C2semidirect
23. #37559C2semidirect
24. #36744C2semidirect
25. #36469C2semidirect
26. #36260C2semidirect
27. #35361C2semidirect
28. #35329C2semidirect
29. #35129C2semidirect
30. #34910C2semidirect
31. #34086C2semidirect
33. C2×#562C22semidirect
34. C2×H(3,𝔽4)C22semidirect
36. C2×#559C22semidirect
37. C2×#559C22semidirect
38. C2×#559C22semidirect
39. C2×#550C22semidirect
40. C2×#550C22semidirect
41. C2×#548C22semidirect
42. C2×#547C22semidirect
43. C2×#546C22semidirect
44. C2×#546C22semidirect
45. C2×#546C22semidirect
46. C2×#546C22semidirect
47. C2×#546C22semidirect
48. C2×#546C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
51. C2×D42C22semidirect
52. C2×D42C22semidirect
53. C2×#542C22semidirect
54. C2×#540C22semidirect
55. C2×#540C22semidirect
56. C2×#538C22semidirect
57. C2×#538C22semidirect
58. C2×#536C22semidirect
60. C2×#535C22semidirect
61. C2×#535C22semidirect
62. C2×#534C22semidirect
63. C2×#533C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
67. C2×#532C22semidirect
68. C22×#127C22semidirect
69. C2×#529C22semidirect
70. C22×#124C22semidirect
71. C2×#518C22semidirect
72. C2×C4×#41C22semidirect
73. #2858C22semidirect
74. #2858C22semidirect
75. #2856C22semidirect
76. #2854C22semidirect
77. #2850C22semidirect
78. #2850C22semidirect
79. #2816C22semidirect
80. #2815C22semidirect
81. #2733C22semidirect
82. #2732C22semidirect
83. #2730C22semidirect
84. #2730C22semidirect
85. #2721C22semidirect
86. #2714C22semidirect
87. #2710C22semidirect
88. #2710C22semidirect
89. #2706C22semidirect
90. #2706C22semidirect
91. #2694C22semidirect
92. #2682C22semidirect
93. #2681C22semidirect
94. #2680C22semidirect
95. #2679C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2676C22semidirect
102. #2675C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2672C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
111. #2671C22semidirect
112. #2670C22semidirect
113. #2670C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2668C22semidirect
119. #2668C22semidirect
120. #2668C22semidirect
121. #2661C22semidirect
122. #2661C22semidirect
123. #2661C22semidirect
124. #2658C22semidirect
125. #2657C22semidirect
126. #2633C22semidirect
127. #2632C22semidirect
128. #2631C22semidirect
129. #2631C22semidirect
130. #2621C22semidirect
131. #2619C22semidirect
132. #2610C22semidirect
133. #2610C22semidirect
134. #2603C22semidirect
135. #2602C22semidirect
136. #2602C22semidirect
137. #2602C22semidirect
138. #2602C22semidirect
139. #2601C22semidirect
140. #2601C22semidirect
141. #2592C22semidirect
142. #2592C22semidirect
143. #2566C22semidirect
144. #2565C22semidirect
145. #2557C22semidirect
146. #2557C22semidirect
147. #2547C22semidirect
148. #2545C22semidirect
149. #2544C22semidirect
150. #2544C22semidirect
151. #2544C22semidirect
152. #2542C22semidirect
154. #2541C22semidirect
156. #2540C22semidirect
157. #2540C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2540C22semidirect
161. #2540C22semidirect
162. #2539C22semidirect
163. #2539C22semidirect
164. #2539C22semidirect
165. #2539C22semidirect
166. #2539C22semidirect
167. #2539C22semidirect
168. #2539C22semidirect
169. #2501C22semidirect
170. #2500C22semidirect
171. #2499C22semidirect
172. #2491C22semidirect
173. #2482C22semidirect
174. #2479C22semidirect
175. #2472C22semidirect
176. #2471C22semidirect
177. #2467C22semidirect
178. #2464C22semidirect
179. #2461C22semidirect
180. #2456C22semidirect
181. #2449C22semidirect
182. #2448C22semidirect
183. #2445C22semidirect
184. #2443C22semidirect
185. #2443C22semidirect
186. #2443C22semidirect
187. #2437C22semidirect
188. #2435C22semidirect
189. #2435C22semidirect
191. #2433C22semidirect
192. #2433C22semidirect
193. #2433C22semidirect
194. #2432C22semidirect
195. #2432C22semidirect
196. #2432C22semidirect
198. #2431C22semidirect
199. #2431C22semidirect
200. #2431C22semidirect
201. #2429C22semidirect
202. #2429C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2427C22semidirect
206. #2427C22semidirect
207. #2426C22semidirect
208. #2426C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
211. #2423C22semidirect
212. #2422C22semidirect
213. #2422C22semidirect
214. #2418C22semidirect
215. #2418C22semidirect
216. #2418C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2411C22semidirect
220. #2411C22semidirect
221. #2410C22semidirect
222. #2410C22semidirect
223. #2410C22semidirect
224. #2410C22semidirect
225. #2409C22semidirect
226. #2409C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2407C22semidirect
231. #2407C22semidirect
232. #2407C22semidirect
233. #2404C22semidirect
234. #2403C22semidirect
235. #2403C22semidirect
236. #2403C22semidirect
237. #2392C22semidirect
238. #2392C22semidirect
239. #2367C22semidirect
240. #2367C22semidirect
241. #2366C22semidirect
242. #2365C22semidirect
243. #2337C22semidirect
244. #2337C22semidirect
245. #2333C22semidirect
246. #2333C22semidirect
247. #2331C22semidirect
248. #2328C22semidirect
249. #2324C22semidirect
250. #2324C22semidirect
251. #2321C22semidirect
252. #2321C22semidirect
253. #2321C22semidirect
254. #2321C22semidirect
255. C4×C4⋊Q8C22semidirect
256. C4×#127C22semidirect
257. C4×#124C22semidirect
258. C4×#124C22semidirect
259. C4×#121C22semidirect
260. #2297C22semidirect
261. #2293C22semidirect
262. C2×#390C22semidirect
263. #2290C22semidirect
264. #2290C22semidirect
265. #2290C22semidirect
266. #2283C22semidirect
267. C42×D4C22semidirect
268. C4×#117C22semidirect
316. #532D4semidirect
793. C2×#41C2×D4semidirect
879. C4⋊Q8C2×D4semidirect
914. #124C2×D4semidirect
973. #121C2×D4semidirect
974. #121C2×D4semidirect
1024. C4×D4C2×D4semidirect
1025. C4×D4C2×D4semidirect
1159. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35082
C2×#35582
#512082
#510682
#508932
#506902
#472132
#468132
#464242
#463552
#452412
#451342
#449272
#448772
#399572
#399532
#384242
#377732
#377722
#376822
#376742
#375592
#367442
#364692
#362602
#353612
#353292
#351292
#349102
#340862