Finite Group Databasebeta

← #7681909

Subgroups — #7681909

Order 512.

7584 conjugacy classes of subgroups.

The subgroup lattice has 1755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59812C212yesmaximal, complemented
4#59568C212yesmaximal, complemented
5#59315C212yesmaximal, complemented
6#59162C214yesmaximal, complemented
7#59158C214yesmaximal, complemented
8#59035C212yesmaximal, complemented
9#45357C211yesmaximal, characteristic, complemented
10#45355C211yesmaximal, characteristic, complemented
11#45337C211yesmaximal, characteristic, complemented
12#45142C211yesmaximal, characteristic, complemented
13#45140C211yesmaximal, characteristic, complemented
14#45140C211yesmaximal, characteristic, complemented
15#45138C211yesmaximal, characteristic, complemented
16#45137C211yesmaximal, characteristic, complemented
17#43503C214yesmaximal, complemented
18#43013C214yesmaximal, complemented
19#39860C214yesmaximal, complemented
20#38376C214yesmaximal, complemented
21#38364C214yesmaximal, complemented
22#36220C214yesmaximal, complemented
23#35636C212yesmaximal, complemented
24#35523C212yesmaximal, complemented
25#35225C212yesmaximal, complemented
26#35210C211yesmaximal, characteristic, complemented
27#34909C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic, complemented
29#34290C212yesmaximal, complemented
30#34222C211yesmaximal, characteristic, complemented
31#34070C211yesmaximal, characteristic, complemented
32#3514—216no—
33#3481—216no—
34C2×#559C2211yescharacteristic
35C2×#559C2211yescharacteristic
36C2×#556C2211yescharacteristic, complemented
37C2×#555C2212yescomplemented
38C2×#554C2211yescharacteristic, complemented
39C2×#554C2211yescharacteristic, complemented
40C2×#553C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×#551C2214yescomplemented
43C2×#551C2214yescomplemented
44C2×D4×Q8C2211yescharacteristic, complemented
45C2×#548C2212yescomplemented
46C2×#546C2212yescomplemented
47C2×#546C2212yescomplemented
48C2×#546C2212yescomplemented
49C2×#546C2212yescomplemented
50C2×D42C2211yescharacteristic
51C2×D42C2211yescharacteristic
52C2×D42C2212yes—
53C2×#542C2212yescomplemented
54C2×#538C2214yescomplemented
55C2×#532C2211yescharacteristic
56C2×#532C2211yescharacteristic
57C2×#529C2212yescomplemented
58C2×#529C2212yescomplemented
59C2×#529C2211yescharacteristic, complemented
60C2×#529C2212yescomplemented
61C22×#124C2212yescomplemented
62C2×#525C2214yescomplemented
63C2×#518C2212yescomplemented
64C2×C4×#41C2211yescharacteristic, complemented
65C2×C4×#41C2211yescharacteristic, complemented
66C2×C4×#41C2211yescharacteristic, complemented
67C22×C4×D4C2212yescomplemented
68C22×C4×D4C2212yescomplemented
69#2852C2214yescomplemented
70#2849C2214yescomplemented
71#2848C2214yescomplemented
72#2732C2214yescomplemented
73#2730C2214yescomplemented
74#2730C2214yescomplemented
75#2728C2214yescomplemented
76#2723C2214yescomplemented
77#2721C2214yescomplemented
78#2717C2214yescomplemented
79#2717C2214yescomplemented
80#2717C2214yescomplemented
81#2708C2214yescomplemented
82#2708C2214yescomplemented
83#2708C2214yescomplemented
84#2692C2214yescomplemented
85#2690C2214yescomplemented
86#2688C2214yescomplemented
87#2684C2214yescomplemented
88#2684C2214yescomplemented
89#2684C2214yescomplemented
90#2671C2214yescomplemented
91#2668C2214yes—
92#2668C2214yes—
93#2668C2214yescomplemented
94#2668C2214yescomplemented
95#2668C2214yescomplemented
96#2638C2212yescomplemented
97#2638C2214yescomplemented
98#2635C2212yescomplemented
99#2630C2214yescomplemented
100#2611C2212yescomplemented
101#2611C2212yescomplemented
102#2610C2212yescomplemented
103#2610C2212yescomplemented
104#2604C2212yescomplemented
105#2603C2212yescomplemented
106#2602C2214yescomplemented
107#2602C2214yescomplemented
108#2600C2214yescomplemented
109#2600C2214yescomplemented
110#2599C2212yescomplemented
111#2598C2212yescomplemented
112#2581C2211yescharacteristic, complemented
113#2581C2211yescharacteristic, complemented
114#2580C2211yescharacteristic, complemented
115#2580C2211yescharacteristic, complemented
116#2564C2214yescomplemented
117#2564C2212yescomplemented
118#2557C2214yescomplemented
119#2557C2214yescomplemented
120#2553C2214yescomplemented
121#2553C2214yescomplemented
122#2550C2212yescomplemented
123#2547C2212yescomplemented
124#2543C2212yescomplemented
125#2542C2212yescomplemented
126#2537C2214yescomplemented
127#2536C2211yescharacteristic, complemented
128#2536C2211yescharacteristic, complemented
129#2535C2211yescharacteristic
130#2535C2212yes—
131#2535C2211yescharacteristic
132#2535C2214yescomplemented
133#2534C2214yescomplemented
134#2534C2214yescomplemented
135#2521C2214yescomplemented
136#2521C2214yescomplemented
137#2499C2214yescomplemented
138#2498C2214yescomplemented
139#2498C2212yescomplemented
140#2496C2214yescomplemented
141#2492C2212yescomplemented
142#2489C2212yescomplemented
143#2485C2212yescomplemented
144#2485C2212yescomplemented
145#2485C2214yescomplemented
146#2482C2214yescomplemented
147#2481C2214yescomplemented
148#2480C2214yescomplemented
149#2480C2214yescomplemented
150#2480C2214yescomplemented
151#2478C2214yescomplemented
152#2472C2214yescomplemented
153#2472C2214yescomplemented
154#2470C2214yescomplemented
155#2468C2214yescomplemented
156#2467C2214yescomplemented
157#2466C2214yescomplemented
158#2463C2214yescomplemented
159#2461C2214yescomplemented
160#2461C2214yescomplemented
161#2457C2214yescomplemented
162#2455C2214yescomplemented
163#2454C2212yescomplemented
164#2452C2212yescomplemented
165#2449C2214yescomplemented
166#2447C2212yescomplemented
167#2447C2212yescomplemented
168#2441C2212yescomplemented
169#2440C2212yescomplemented
170#2435C2212yescomplemented
171#2435C2212yescomplemented
172#2430C2212yescomplemented
173#2427C2214yescomplemented
174#2427C2212yescomplemented
175#2427C2212yescomplemented
176#2427C2212yescomplemented
177#2427C2212yescomplemented
178#2427C2214yescomplemented
179#2425C2214yescomplemented
180#2424C2214yescomplemented
181#2423C2214yescomplemented
182#2422C2214yescomplemented
183#2422C2212yescomplemented
184#2422C2212yescomplemented
185#2421C2214yescomplemented
186#2419C2214yescomplemented
187#2419C2214yescomplemented
188#2418C2214yescomplemented
189#2418C2214yescomplemented
190#2418C2214yescomplemented
191#2418C2214yescomplemented
192#2418C2214yescomplemented
193#2417C2212yescomplemented
194#2415C2212yescomplemented
195#2409C2214yescomplemented
196#2409C2214yescomplemented
197#2408C2212yes—
198#2408C2212yes—
199#2408C2214yescomplemented
200#2407C2212yescomplemented
201#2407C2212yescomplemented
202#2405C2214yescomplemented
203#2405C2214yescomplemented
204#2403C2214yes—
205#2403C2214yes—
206#2399C2211yescharacteristic, complemented
207#2398C2211yescharacteristic, complemented
208#2398C2211yescharacteristic, complemented
209#2397C2211yescharacteristic
210#2395C2212yescomplemented
211#2388C2212yescomplemented
212#2372C2214yescomplemented
213#2366C2212yes—
214#2364C2214yescomplemented
215#2364C2214yescomplemented
216#2363C2212yescomplemented
217#2361C2212yescomplemented
218#2359C2214yescomplemented
219#2358C2214yescomplemented
220#2358C2214yescomplemented
221#2358C2214yescomplemented
222#2353C2214yescomplemented
223#2352C2212yescomplemented
224#2349C2212yescomplemented
225#2342C2214yescomplemented
226#2339C2214yescomplemented
227D4×C22⋊C4C2214yescomplemented
228D4×C22⋊C4C2214yescomplemented
229D4×C22⋊C4C2212yescomplemented
230D4×C22⋊C4C2212yescomplemented
231#2331C2211yescharacteristic, complemented
232#2331C2211yescharacteristic, complemented
233#2328C2211yescharacteristic
234#2328C2211yescharacteristic
235#2328C2211yescharacteristic
236#2328C2211yescharacteristic
237#2327C2211yescharacteristic, complemented
238#2327C2211yescharacteristic, complemented
239#2326C2211yescharacteristic, complemented
240#2326C2211yescharacteristic, complemented
241#2326C2211yescharacteristic, complemented
242#2326C2211yescharacteristic, complemented
243#2325C2214yescomplemented
244#2325C2214yescomplemented
245#2325C2214yescomplemented
246#2324C2212yescomplemented
247#2323C2212yescomplemented
248#2321C2214yescomplemented
249#2319C2212yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256C4×#120C2214yescomplemented
257#2297C2211yescharacteristic, complemented
258#2297C2211yescharacteristic, complemented
259#2290C2214yescomplemented
260#2290C2214yescomplemented
261#2290C2214yescomplemented
262#2290C2212yescomplemented
263#2290C2212yescomplemented
264C2×#386C2214yescomplemented
265#2285C2211yescharacteristic, complemented
266#2283C2211yescharacteristic, complemented
267#2275C2212yescomplemented
268C2×#376C2211yescharacteristic, complemented
269C22×#41C2311yescharacteristic
270C22×#41C2311yescharacteristic
271C22×#41C2311yescharacteristic
272C22×#41C2312yes—
273C23×Q8C2312yes—
274C23×D4C2312yes—
275C23×D4C2312yes—
276C23×D4C2312yes—
277C23×D4C2314yes—
278C23×D4C2312yes—
279C24×C4C2314yes—
280#559—28no—
281#559—28no—
282#556—28no—
283#555—216no—
284#554—28no—
285#554—28no—
286#553—216no—
287#553—216no—
288#551—232no—
289#551—232no—
290D4×Q8—28no—
291#548—216no—
292#546—216no—
293#546—216no—
294#546—216no—
295#546—216no—
296D42—28no—
297D42—28no—
298D42—216no—
299#542—216no—
300#538—232no—
301#532—28no—
302#532D4116yescomplemented
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#127C2311yescharacteristic
308#529—216no—
309#529—216no—
310#529—216no—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124—216no—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333#525—232no—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382#518—216no—
383C4×#41—28no—
384C4×#41—28no—
385C4×#41—28no—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×D4—216no—
395C2×C4×D4—216no—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×#117C2312yes—
436C2×#117C2314yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2311yescharacteristic
442C2×#117C2311yescharacteristic
443C2×#117C2311yescharacteristic
444C2×#117C2314yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C22⋊C4C2314yes—
448C22×C22⋊C4C2314yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C42C2312yes—
455C22×C42C2312yes—
456C22×C42C2312yes—
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459C22×C42C2311yescharacteristic
460#400C2312yes—
461#400C2314yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2314yes—
466#399C2312yes—
467#399C2314yes—
468#399C2312yes—
469#399C2312yes—
470#399C2312yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#398C2312yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#395C2312yes—
507#395C2314yes—
508#395C2312yes—
509#395C2312yes—
510#395C2312yes—
511#395C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#393C2312yes—
534#393C2314yes—
535#393C2312yes—
536#393C2312yes—
537#393C2312yes—
538#393C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2312yes—
546#392C2312yes—
547#392C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2314yes—
555#391C2314yes—
556#391C2314yes—
557#391C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2314yes—
701#383C2312yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2314yes—
707#381C2314yes—
708#381C2314yes—
709#381C2312yes—
710#381C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#379C2314yes—
730#379C2314yes—
731#379C2314yes—
732#379C2314yes—
733#379C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2312yes—
747C4×C22⋊C4C2312yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2314yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2312yes—
759C4×C22⋊C4C2312yes—
760#376C2311yescharacteristic
761#376C2311yescharacteristic
762#376C2311yescharacteristic
763#376C2311yescharacteristic
764#376C2312yes—
765#376C2312yes—
766#376C2312yes—
767C2×#95C2312yes—
768C2×#95C2314yes—
769C2×#95C2312yes—
770C2×#95C2314yes—
771C25C2414yes—
772C25C2414yes—
773C2×#41—24no—
774C2×#41—24no—
775C2×#41—24no—
776C2×#41—24no—
777C2×#41—24no—
778C2×#41—44no—
779C2×#41—42no—
780C2×#41—42no—
781C2×#41—84no—
782C2×#41C2×D4116yescomplemented
783C22×Q8—28no—
784C22×Q8—84no—
785C22×Q8C2411yescharacteristic
786C22×Q8C2411yescharacteristic
787C22×Q8C2411yescharacteristic
788C22×Q8C2411yescharacteristic
789C22×Q8C2414yes—
790C22×Q8C2412yes—
791C22×D4—28no—
792C22×D4—28no—
793C22×D4—28no—
794C22×D4—28no—
795C22×D4—28no—
796C22×D4—28no—
797C22×D4—216no—
798C22×D4—44no—
799C22×D4—44no—
800C22×D4—48no—
801C22×D4—48no—
802C22×D4—84no—
803C22×D4—84no—
804C22×D4C2411yescharacteristic
805C22×D4C2412yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2411yescharacteristic
815C22×D4C2411yescharacteristic
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2414yes—
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C23×C4—216no—
826C23×C4—84no—
827C23×C4—84no—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C4⋊Q8—28no—
852C4⋊Q8—24no—
853C4⋊Q8C2×D418yescomplemented
854#127C2×D418yes—
855#127#4118yescomplemented
856#126—216no—
857#126—216no—
858#126—216no—
859#126—216no—
860#126—28no—
861#125—28no—
862#125—28no—
863#125—24no—
864#124—28no—
865#124—28no—
866#124—28no—
867#124—28no—
868#124—216no—
869#124—28no—
870#124—24no—
871#124—24no—
872#124—216no—
873#124—216no—
874#124—24no—
875#124C2×D4116yescomplemented
876#123—216no—
877#123—216no—
878#123—216no—
879#123—28no—
880#123—216no—
881#123—216no—
882#123—216no—
883#123—216no—
884#123—48no—
885#123—84no—
886C22⋊Q8—216no—
887C22⋊Q8—216no—
888C22⋊Q8—28no—
889C22⋊Q8—24no—
890C22⋊Q8—216no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—216no—
894C22⋊Q8—28no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—84no—
898C22⋊Q8—84no—
899#121—216no—
900#121—216no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—216no—
905#121—216no—
906#121—28no—
907#121—216no—
908#121—28no—
909#121—28no—
910#121—216no—
911#121—24no—
912#121—44no—
913#121—44no—
914#121C2×D4116yescomplemented
915#121C2×D4116yescomplemented
916#120—216no—
917#120—216no—
918#120—216no—
919#120—216no—
920#120—216no—
921#120—216no—
922#120—48no—
923#120—84no—
924C4×Q8—28no—
925C4×Q8—24no—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—216no—
937C4×D4—216no—
938C4×D4—216no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—216no—
946C4×D4—28no—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—216no—
951C4×D4—216no—
952C4×D4—216no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—28no—
961C4×D4—28no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—48no—
965C4×D4—84no—
966C4×D4—84no—
967C4×D4—84no—
968C4×D4—84no—
969C4×D4C2×D4116yescomplemented
970C4×D4C2×D4116yescomplemented
971#117—24no—
972#117—24no—
973#117—24no—
974#117—216no—
975#117—28no—
976#117—216no—
977#117—28no—
978#117—28no—
979#117—28no—
980#117—28no—
981C2×C4⋊C4—28no—
982C2×C4⋊C4—28no—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C22⋊C4—216no—
1029C2×C22⋊C4—216no—
1030C2×C22⋊C4—216no—
1031C2×C22⋊C4—216no—
1032C2×C22⋊C4—216no—
1033C2×C22⋊C4—48no—
1034C2×C22⋊C4—84no—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C42—28no—
1102C2×C42—28no—
1103C2×C42—28no—
1104C2×C42—24no—
1105C2×C42—42no—
1106C2×C42C2×D418yescomplemented
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—28no—
1180C24—28no—
1181C24—28no—
1182C24—28no—
1183C24—28no—
1184C24—44no—
1185C24—44no—
1186C24—44no—
1187C24—44no—
1188C24—44no—
1189C24—44no—
1190C24—44no—
1191C24—44no—
1192C24—44no—
1193C24C2512yes—
1194C24C2514yes—
1195C24C2511yescharacteristic
1196C24C2512yes—
1197C24C2512yes—
1198C24C2512yes—
1199#41—416no—
1200#41—416no—
1201#41—416no—
1202#41—816no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—28no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—42no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—816no—
1218C2×Q8C22×D418yes—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—28no—
1232C2×D4—28no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—432no—
1272C2×D4—432no—
1273C2×D4—432no—
1274C2×D4—816no—
1275C2×D4—832no—
1276C2×D4C22×D418yes—
1277C2×D4C22×D418yes—
1278C2×D4C22×D418yes—
1279C2×D4C22×D4116yes—
1280C2×D4C2×#4114yes—
1281C2×D4C2×#4114yes—
1282C2×D4C2×#41116yes—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—24no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—28no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—832no—
1343C22×C4C22×D414yes—
1344C22×C4C22×D414yes—
1345C22×C4C22×D414yes—
1346C22×C4C22×D4116yes—
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—28no—
1390C4⋊C4—28no—
1391C4⋊C4—28no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—28no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4C22×D418yes—
1416C4⋊C4C22×D418yes—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4C22×D4116yes—
1482C22⋊C4C22×D4116yes—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—28no—
1493C42—24no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—42no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42C22×D414yes—
1503C42C22×D414yes—
1504C42C22×D414yes—
1505C42C22×D414yes—
1506C42C2×#4114yes—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—24no—
1512C23—21no—
1513C23—22no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—24no—
1518C23—21no—
1519C23—22no—
1520C23—24no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—416no—
1539C23—416no—
1540C23—416no—
1541C23—416no—
1542C23—88no—
1543C23—88no—
1544C23—88no—
1545C23—88no—
1546C23—88no—
1547C23—88no—
1548C23—88no—
1549C23—88no—
1550C23—164no—
1551C23—164no—
1552C23C23×D418yes—
1553C23C23×D412yes—
1554C23C22×#4114yes—
1555C23C22×#4114yes—
1556C23#58514yes—
1557C23C2611yescharacteristic
1558Q8—48no—
1559Q8—44no—
1560Q8—44no—
1561Q8—44no—
1562Q8—44no—
1563Q8—88no—
1564D4—28no—
1565D4—216no—
1566D4—28no—
1567D4—28no—
1568D4—48no—
1569D4—48no—
1570D4—416no—
1571D4—416no—
1572D4—48no—
1573D4—44no—
1574D4—416no—
1575D4—416no—
1576D4—416no—
1577D4—416no—
1578D4—48no—
1579D4—48no—
1580D4—48no—
1581D4—84no—
1582D4—84no—
1583D4—88no—
1584D4—88no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—28no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—416no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—48no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—48no—
1654C2×C4—48no—
1655C2×C4—84no—
1656C2×C4—84no—
1657C2×C4—88no—
1658C2×C4—88no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—88no—
1663C2×C4—84no—
1664C2×C4—164no—
1665C2×C4C23×D412yes—
1666C2×C4C23×D412yes—
1667C2×C4C23×D412yes—
1668C2×C4C23×D412yes—
1669C2×C4C23×D412yes—
1670C2×C4C23×D418yes—
1671C2×C4C23×D412yes—
1672C2×C4C22×#4114yes—
1673C2×C4C22×#4112yes—
1674C2×C4#58512yes—
1675C22—24no—
1676C22—28no—
1677C22—28no—
1678C22—24no—
1679C22—22no—
1680C22—28no—
1681C22—28no—
1682C22—22no—
1683C22—22no—
1684C22—24no—
1685C22—24no—
1686C22—28no—
1687C22—24no—
1688C22—42no—
1689C22—44no—
1690C22—42no—
1691C22—44no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—44no—
1700C22—42no—
1701C22—44no—
1702C22—44no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—832no—
1712C22—1616no—
1713C22C24×D411yescharacteristic
1714C22C23×#4111yescharacteristic
1715C22C2×#58512yes—
1716C22C2×#58511yescharacteristic
1717C22H(7,𝔽2)12yes—
1718C4—24no—
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—28no—
1724C4—22no—
1725C4—42no—
1726C4—44no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—44no—
1742C4D4×#4114yes—
1743C2—42no—
1744C2—44no—
1745C2—44no—
1746C2—48no—
1747C2—44no—
1748C2—82no—
1749C2C2×D4×#4111yescharacteristic
1750C2#6281111yescharacteristic
1751C2#6284211yescharacteristic
1752C2#6297012yes—
1753C2#6299012yes—
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×#3514C2semidirect
2. C2×#3481C2semidirect
3. #59812C2semidirect
4. #59568C2semidirect
5. #59315C2semidirect
6. #59162C2semidirect
7. #59158C2semidirect
8. #59035C2semidirect
9. #45357C2semidirect
10. #45355C2semidirect
11. #45337C2semidirect
12. #45142C2semidirect
13. #45140C2semidirect
14. #45140C2semidirect
15. #45138C2semidirect
16. #45137C2semidirect
17. #43503C2semidirect
18. #43013C2semidirect
19. #39860C2semidirect
20. #38376C2semidirect
21. #38364C2semidirect
22. #36220C2semidirect
23. #35636C2semidirect
24. #35523C2semidirect
25. #35225C2semidirect
26. #35210C2semidirect
27. #34909C2semidirect
28. #34876C2semidirect
29. #34290C2semidirect
30. #34222C2semidirect
31. #34070C2semidirect
36. C2×#556C22semidirect
37. C2×#555C22semidirect
38. C2×#554C22semidirect
39. C2×#554C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
42. C2×#551C22semidirect
43. C2×#551C22semidirect
44. C2×D4×Q8C22semidirect
45. C2×#548C22semidirect
46. C2×#546C22semidirect
47. C2×#546C22semidirect
48. C2×#546C22semidirect
49. C2×#546C22semidirect
53. C2×#542C22semidirect
54. C2×#538C22semidirect
57. C2×#529C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
60. C2×#529C22semidirect
61. C22×#124C22semidirect
62. C2×#525C22semidirect
63. C2×#518C22semidirect
64. C2×C4×#41C22semidirect
65. C2×C4×#41C22semidirect
66. C2×C4×#41C22semidirect
67. C22×C4×D4C22semidirect
68. C22×C4×D4C22semidirect
69. #2852C22semidirect
70. #2849C22semidirect
71. #2848C22semidirect
72. #2732C22semidirect
73. #2730C22semidirect
74. #2730C22semidirect
75. #2728C22semidirect
76. #2723C22semidirect
77. #2721C22semidirect
78. #2717C22semidirect
79. #2717C22semidirect
80. #2717C22semidirect
81. #2708C22semidirect
82. #2708C22semidirect
83. #2708C22semidirect
84. #2692C22semidirect
85. #2690C22semidirect
86. #2688C22semidirect
87. #2684C22semidirect
88. #2684C22semidirect
89. #2684C22semidirect
90. #2671C22semidirect
93. #2668C22semidirect
94. #2668C22semidirect
95. #2668C22semidirect
96. #2638C22semidirect
97. #2638C22semidirect
98. #2635C22semidirect
99. #2630C22semidirect
100. #2611C22semidirect
101. #2611C22semidirect
102. #2610C22semidirect
103. #2610C22semidirect
104. #2604C22semidirect
105. #2603C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
108. #2600C22semidirect
109. #2600C22semidirect
110. #2599C22semidirect
111. #2598C22semidirect
112. #2581C22semidirect
113. #2581C22semidirect
114. #2580C22semidirect
115. #2580C22semidirect
116. #2564C22semidirect
117. #2564C22semidirect
118. #2557C22semidirect
119. #2557C22semidirect
120. #2553C22semidirect
121. #2553C22semidirect
122. #2550C22semidirect
123. #2547C22semidirect
124. #2543C22semidirect
125. #2542C22semidirect
126. #2537C22semidirect
127. #2536C22semidirect
128. #2536C22semidirect
132. #2535C22semidirect
133. #2534C22semidirect
134. #2534C22semidirect
135. #2521C22semidirect
136. #2521C22semidirect
137. #2499C22semidirect
138. #2498C22semidirect
139. #2498C22semidirect
140. #2496C22semidirect
141. #2492C22semidirect
142. #2489C22semidirect
143. #2485C22semidirect
144. #2485C22semidirect
145. #2485C22semidirect
146. #2482C22semidirect
147. #2481C22semidirect
148. #2480C22semidirect
149. #2480C22semidirect
150. #2480C22semidirect
151. #2478C22semidirect
152. #2472C22semidirect
153. #2472C22semidirect
154. #2470C22semidirect
155. #2468C22semidirect
156. #2467C22semidirect
157. #2466C22semidirect
158. #2463C22semidirect
159. #2461C22semidirect
160. #2461C22semidirect
161. #2457C22semidirect
162. #2455C22semidirect
163. #2454C22semidirect
164. #2452C22semidirect
165. #2449C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2441C22semidirect
169. #2440C22semidirect
170. #2435C22semidirect
171. #2435C22semidirect
172. #2430C22semidirect
173. #2427C22semidirect
174. #2427C22semidirect
175. #2427C22semidirect
176. #2427C22semidirect
177. #2427C22semidirect
178. #2427C22semidirect
179. #2425C22semidirect
180. #2424C22semidirect
181. #2423C22semidirect
182. #2422C22semidirect
183. #2422C22semidirect
184. #2422C22semidirect
185. #2421C22semidirect
186. #2419C22semidirect
187. #2419C22semidirect
188. #2418C22semidirect
189. #2418C22semidirect
190. #2418C22semidirect
191. #2418C22semidirect
192. #2418C22semidirect
193. #2417C22semidirect
194. #2415C22semidirect
195. #2409C22semidirect
196. #2409C22semidirect
199. #2408C22semidirect
200. #2407C22semidirect
201. #2407C22semidirect
202. #2405C22semidirect
203. #2405C22semidirect
206. #2399C22semidirect
207. #2398C22semidirect
208. #2398C22semidirect
210. #2395C22semidirect
211. #2388C22semidirect
212. #2372C22semidirect
214. #2364C22semidirect
215. #2364C22semidirect
216. #2363C22semidirect
217. #2361C22semidirect
218. #2359C22semidirect
219. #2358C22semidirect
220. #2358C22semidirect
221. #2358C22semidirect
222. #2353C22semidirect
223. #2352C22semidirect
224. #2349C22semidirect
225. #2342C22semidirect
226. #2339C22semidirect
227. D4×C22⋊C4C22semidirect
228. D4×C22⋊C4C22semidirect
229. D4×C22⋊C4C22semidirect
230. D4×C22⋊C4C22semidirect
231. #2331C22semidirect
232. #2331C22semidirect
237. #2327C22semidirect
238. #2327C22semidirect
239. #2326C22semidirect
240. #2326C22semidirect
241. #2326C22semidirect
242. #2326C22semidirect
243. #2325C22semidirect
244. #2325C22semidirect
245. #2325C22semidirect
246. #2324C22semidirect
247. #2323C22semidirect
248. #2321C22semidirect
249. #2319C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. C4×#120C22semidirect
257. #2297C22semidirect
258. #2297C22semidirect
259. #2290C22semidirect
260. #2290C22semidirect
261. #2290C22semidirect
262. #2290C22semidirect
263. #2290C22semidirect
264. C2×#386C22semidirect
265. #2285C22semidirect
266. #2283C22semidirect
267. #2275C22semidirect
268. C2×#376C22semidirect
302. #532D4semidirect
782. C2×#41C2×D4semidirect
853. C4⋊Q8C2×D4semidirect
855. #127#41semidirect
875. #124C2×D4semidirect
914. #121C2×D4semidirect
915. #121C2×D4semidirect
969. C4×D4C2×D4semidirect
970. C4×D4C2×D4semidirect
1106. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34812
#598122
#595682
#593152
#591622
#591582
#590352
#453572
#453552
#453372
#451422
#451402
#451382
#451372
#435032
#430132
#398602
#383762
#383642
#362202
#356362
#355232
#352252
#352102
#349092
#348762
#342902
#342222
#340702