Finite Group Databasebeta

← #7779990

Subgroups — #7779990

Order 512.

6329 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59412C211yesmaximal, characteristic, complemented
4#59412C211yesmaximal, characteristic, complemented
5#59129C212yesmaximal, complemented
6#59124C212yesmaximal, complemented
7#49754C214yesmaximal, complemented
8#48007C214yesmaximal, complemented
9#46801C214yesmaximal, complemented
10#46454C214yesmaximal, complemented
11#45655C212yesmaximal, complemented
12#45518C212yesmaximal, complemented
13#45036C212yesmaximal, complemented
14#44881C212yesmaximal, complemented
15#42471C212yesmaximal, complemented
16#42430C212yesmaximal, complemented
17#40053C212yesmaximal, complemented
18#39888C212yesmaximal, complemented
19#39786C212yesmaximal, complemented
20#39464C212yesmaximal, complemented
21#39270C212yesmaximal, complemented
22#39138C211yesmaximal, characteristic, complemented
23#38910C211yesmaximal, characteristic, complemented
24#38080C212yesmaximal, complemented
25#37332C212yesmaximal, complemented
26#36477C211yesmaximal, characteristic, complemented
27#36468C211yesmaximal, characteristic, complemented
28#36455C211yesmaximal, characteristic, complemented
29#36258C211yesmaximal, characteristic, complemented
30#36128C211yesmaximal, characteristic, complemented
31D4×#127C211yesmaximal, characteristic, complemented
32#35278C211yesmaximal, characteristic, complemented
33#34910C211yesmaximal, characteristic, complemented
34#34471C212yesmaximal, complemented
35C4×#540C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic, complemented
39C2×#550C2212yescomplemented
40C2×#546C2212yescomplemented
41C2×#546C2212yescomplemented
42C2×#546C2212yescomplemented
43C2×D42C2212yes—
44C2×D42C2211yescharacteristic
45C2×D42C2211yescharacteristic
46C2×D42C2212yes—
47C2×#540C2211yescharacteristic
48C2×#540C2212yescomplemented
49C2×#532C2212yescomplemented
50C22×#127C2212yes—
51C2×#529C2211yescharacteristic, complemented
52C2×C4×#41C2211yescharacteristic, complemented
53#2867C2211yescharacteristic
54#2859C2211yescharacteristic, complemented
55#2856C2212yes—
56#2856C2212yescomplemented
57#2856C2212yescomplemented
58#2856C2211yescharacteristic, complemented
59#2856C2211yescharacteristic, complemented
60#2855C2212yescomplemented
61#2854C2212yescomplemented
62#2854C2212yescomplemented
63#2828C2214yescomplemented
64#2815C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2797C2214yescomplemented
68#2797C2214yescomplemented
69#2797C2214yescomplemented
70#2797C2214yescomplemented
71#2796C2214yescomplemented
72#2786C2214yescomplemented
73#2752C2214yescomplemented
74#2714C2214yescomplemented
75#2714C2214yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2709C2214yescomplemented
79#2709C2214yescomplemented
80#2708C2214yescomplemented
81#2703C2214yescomplemented
82#2699C2214yescomplemented
83#2697C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2685C2214yescomplemented
87#2682C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2671C2214yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2661C2214yescomplemented
106#2648C2214yescomplemented
107#2641C2212yescomplemented
108#2630C2214yescomplemented
109#2624C2212yescomplemented
110#2619C2212yescomplemented
111#2619C2212yescomplemented
112#2613C2214yescomplemented
113#2608C2214yescomplemented
114#2602C2214yescomplemented
115#2602C2212yescomplemented
116#2602C2212yescomplemented
117#2602C2214yescomplemented
118#2602C2214yescomplemented
119#2601C2212yescomplemented
120#2601C2212yescomplemented
121#2600C2214yescomplemented
122#2595C2214yescomplemented
123#2587C2214yescomplemented
124#2570C2212yescomplemented
125#2566C2212yes—
126#2566C2211yescharacteristic, complemented
127#2565C2211yescharacteristic, complemented
128#2562C2212yescomplemented
129#2559C2214yescomplemented
130#2554C2214yescomplemented
131#2548C2211yescharacteristic, complemented
132#2548C2211yescharacteristic, complemented
133#2548C2212yescomplemented
134#2545C2211yescharacteristic, complemented
135#2544C2211yescharacteristic
136#2544C2212yescomplemented
137#2541C2212yes—
138#2541C2211yescharacteristic
139#2541C2212yes—
140#2541C2211yescharacteristic
141#2541C2212yescomplemented
142#2541C2212yescomplemented
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2541C2212yescomplemented
146#2541C2214yescomplemented
147#2540C2212yescomplemented
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2537C2211yescharacteristic, complemented
151#2537C2211yescharacteristic, complemented
152#2537C2212yescomplemented
153#2535C2212yescomplemented
154#2535C2212yescomplemented
155#2535C2212yescomplemented
156#2535C2212yescomplemented
157#2534C2214yescomplemented
158#2513C2212yescomplemented
159#2513C2212yescomplemented
160#2504C2212yescomplemented
161#2500C2211yescharacteristic, complemented
162#2500C2212yescomplemented
163#2499C2211yescharacteristic, complemented
164#2497C2212yescomplemented
165#2496C2212yescomplemented
166#2490C2212yescomplemented
167#2490C2212yescomplemented
168#2490C2212yescomplemented
169#2490C2212yescomplemented
170#2464C2214yescomplemented
171#2456C2214yescomplemented
172#2455C2214yescomplemented
173#2447C2212yescomplemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2445C2212yescomplemented
177#2445C2214yescomplemented
178#2445C2212yescomplemented
179#2445C2212yescomplemented
180#2435C2212yescomplemented
181#2433C2212yes—
182#2433C2212yes—
183#2433C2212yes—
184#2433C2214yes—
185#2433C2212yes—
186#2433C2214yes—
187#2433C2214yescomplemented
188#2432C2211yescharacteristic, complemented
189#2431C2211yescharacteristic
190#2431C2212yescomplemented
191#2431C2212yescomplemented
192#2431C2212yescomplemented
193#2429C2212yescomplemented
194#2428C2212yes—
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2428C2214yescomplemented
198#2428C2214yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2428C2214yescomplemented
202#2428C2212yescomplemented
203#2428C2214yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2426C2212yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2424C2214yescomplemented
211#2424C2214yescomplemented
212#2424C2214yescomplemented
213#2422C2212yescomplemented
214#2422C2212yescomplemented
215#2422C2212yescomplemented
216#2420C2212yescomplemented
217#2416C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2214yescomplemented
221#2414C2212yescomplemented
222#2411C2214yescomplemented
223#2410C2214yescomplemented
224#2410C2214yescomplemented
225#2410C2214yescomplemented
226#2408C2212yes—
227#2408C2212yes—
228#2408C2212yescomplemented
229#2408C2212yescomplemented
230#2408C2212yescomplemented
231#2407C2212yescomplemented
232#2407C2212yescomplemented
233#2407C2212yescomplemented
234#2405C2214yescomplemented
235#2392C2212yescomplemented
236#2392C2212yescomplemented
237#2377C2214yescomplemented
238#2375C2214yescomplemented
239#2370C2212yescomplemented
240#2367C2212yescomplemented
241#2366C2212yescomplemented
242#2366C2212yescomplemented
243#2366C2212yescomplemented
244#2363C2212yescomplemented
245#2361C2212yescomplemented
246#2358C2214yescomplemented
247#2357C2212yes—
248#2355C2211yescharacteristic, complemented
249#2354C2211yescharacteristic, complemented
250#2352C2212yescomplemented
251Q8×C4⋊C4C2211yescharacteristic, complemented
252D4×C4⋊C4C2211yescharacteristic, complemented
253#2341C2212yescomplemented
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yescomplemented
257D4×C22⋊C4C2214yescomplemented
258#2335C2212yescomplemented
259#2335C2212yescomplemented
260#2333C2212yescomplemented
261#2333C2212yescomplemented
262#2333C2214yescomplemented
263#2330C2211yescharacteristic, complemented
264#2328C2211yescharacteristic
265#2328C2212yescomplemented
266#2324C2211yescharacteristic
267#2324C2211yescharacteristic, complemented
268#2324C2212yescomplemented
269#2321C2214yescomplemented
270#2321C2214yescomplemented
271#2319C2211yescharacteristic
272#2319C2211yescharacteristic, complemented
273#2314C2211yescharacteristic, complemented
274#2309C2212yes—
275#2308C2214yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic, complemented
280C4×#127C2211yescharacteristic, complemented
281C4×#125C2211yescharacteristic, complemented
282C4×#124C2211yescharacteristic, complemented
283C4×#124C2211yescharacteristic, complemented
284C4×C22⋊Q8C2212yescomplemented
285C4×#123C2212yescomplemented
286C4×#123C2212yescomplemented
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292C4×#121C2212yescomplemented
293C2×#390C2212yes—
294#2290C2212yescomplemented
295#2290C2212yescomplemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306C23×D4C2312yes—
307C23×D4C2314yes—
308#553—48no—
309#550—44no—
310#550—44no—
311#550—48no—
312#546—48no—
313#546—48no—
314#546—48no—
315D42—216no—
316D42—44no—
317D42—44no—
318D42—48no—
319#540—28no—
320#540—48no—
321#532—48no—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127—48no—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2314yes—
336C2×#127C2314yes—
337C2×#127C2314yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2314yes—
342#529—44no—
343C2×#126C2312yes—
344C2×#126C2314yes—
345C2×#125C2311yescharacteristic
346C2×#125C2312yes—
347C2×#125C2311yescharacteristic
348C2×#124C2312yes—
349C2×#124C2311yescharacteristic
350C2×#124C2311yescharacteristic
351C2×#124C2311yescharacteristic
352C2×#124C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2312yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2311yescharacteristic
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C4×#41—44no—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2311yescharacteristic
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2314yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2311yescharacteristic
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2311yescharacteristic
463C22×C4⋊C4C2312yes—
464C22×C22⋊C4C2314yes—
465C22×C22⋊C4C2314yes—
466C22×C22⋊C4C2314yes—
467C22×C22⋊C4C2314yes—
468C22×C42C2311yescharacteristic
469C22×C42C2312yes—
470C22×C42C2312yes—
471C22×C42C2312yes—
472#400C2314yes—
473#400C2314yes—
474#399C2314yes—
475#398C2312yes—
476#398C2312yes—
477#398C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#396C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2312yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2312yes—
572#391C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2314yes—
620#390C2312yes—
621#390C2312yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2314yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2314yes—
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2312yes—
756#382C2311yescharacteristic
757#382C2311yescharacteristic
758#382C2312yes—
759#382C2311yescharacteristic
760#382C2312yes—
761#381C2312yes—
762#381C2314yes—
763#381C2312yes—
764#381C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823#376C2311yescharacteristic
824#376C2311yescharacteristic
825C43C2311yescharacteristic
826C43C2311yescharacteristic
827C25C2414yes—
828C25C2414yes—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—42no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×D4—28no—
841C22×D4—28no—
842C22×D4—28no—
843C22×D4—216no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—48no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—48no—
855C22×D4—48no—
856C22×D4—84no—
857C22×D4—84no—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2411yescharacteristic
869C22×D4C2411yescharacteristic
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2412yes—
907C23×C4C2412yes—
908C23×C4C2414yes—
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C4⋊Q8—24no—
915#127—24no—
916#127—24no—
917#127—28no—
918#127—28no—
919#127—28no—
920#127—24no—
921#127—24no—
922#127—44no—
923#127—44no—
924#127—44no—
925#127—44no—
926#127—44no—
927#127—48no—
928#127—48no—
929#127—48no—
930#127—84no—
931#127—82no—
932#127—82no—
933#126—44no—
934#126—48no—
935#125—24no—
936#125—28no—
937#125—42no—
938#124—28no—
939#124—24no—
940#124—24no—
941#124—42no—
942#124—44no—
943#123—28no—
944#123—28no—
945#123—48no—
946#123—44no—
947#123—48no—
948#123—48no—
949#123—48no—
950#123—48no—
951#123—48no—
952#123—84no—
953C22⋊Q8—28no—
954C22⋊Q8—42no—
955C22⋊Q8—44no—
956#121—24no—
957#121—28no—
958#121—28no—
959#121—216no—
960#121—24no—
961#121—28no—
962#121—28no—
963#121—28no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—48no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—48no—
973#121—48no—
974#121—48no—
975#121—42no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—48no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—48no—
993#121—82no—
994#121—84no—
995#121—84no—
996#121—82no—
997#121—84no—
998#120—216no—
999#120—216no—
1000#120—48no—
1001#120—48no—
1002#120—48no—
1003#120—48no—
1004#120—48no—
1005#120—48no—
1006#120—48no—
1007#120—84no—
1008#120—84no—
1009#120—84no—
1010C4×Q8—24no—
1011C4×Q8—24no—
1012C4×Q8—42no—
1013C4×Q8—44no—
1014C4×D4—24no—
1015C4×D4—28no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—28no—
1021C4×D4—24no—
1022C4×D4—24no—
1023C4×D4—42no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—48no—
1039C4×D4—48no—
1040C4×D4—48no—
1041C4×D4—48no—
1042C4×D4—82no—
1043C4×D4—82no—
1044C4×D4—84no—
1045C4×D4#4118yescomplemented
1046#117—24no—
1047#117—24no—
1048#117—44no—
1049#117—44no—
1050#117—42no—
1051#117—44no—
1052C2×C4⋊C4—44no—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C22⋊C4—48no—
1101C2×C22⋊C4—48no—
1102C2×C22⋊C4—48no—
1103C2×C22⋊C4—84no—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C42—24no—
1186C2×C42—44no—
1187C2×C42—44no—
1188C2×C42—44no—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2412yes—
1197C2×C42C2412yes—
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2414yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2414yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264C24—28no—
1265C24—28no—
1266C24—28no—
1267C24—44no—
1268C24—44no—
1269C24—44no—
1270C24—44no—
1271C24—44no—
1272C24—44no—
1273C24—44no—
1274C24—44no—
1275C24—44no—
1276C24—44no—
1277C24—44no—
1278C24C2512yes—
1279C24C2514yes—
1280C24C2514yes—
1281C24C2511yescharacteristic
1282C24C2512yes—
1283C24C2512yes—
1284C24C2512yes—
1285#41—416no—
1286#41—816no—
1287#41—816no—
1288C2×Q8—22no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8H(5,𝔽2)14yes—
1294C2×D4—28no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—28no—
1299C2×D4—28no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—28no—
1304C2×D4—28no—
1305C2×D4—28no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—28no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—28no—
1312C2×D4—28no—
1313C2×D4—24no—
1314C2×D4—28no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—24no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—22no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—28no—
1340C2×D4—28no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—42no—
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—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—816no—
1407C2×D4—816no—
1408C2×D4—816no—
1409C2×D4—832no—
1410C2×D4—816no—
1411C2×D4—832no—
1412C2×D4C2×#4114yes—
1413C2×D4H(5,𝔽2)14yes—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—22no—
1437C22×C4—28no—
1438C22×C4—24no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4C2×#4118yes—
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2514yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2514yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—28no—
1523C4⋊C4—28no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4C2×#4114yes—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—24no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—42no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4C2×#4118yes—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—24no—
1631C42—24no—
1632C42—24no—
1633C42—22no—
1634C42—24no—
1635C42—22no—
1636C42—22no—
1637C42—42no—
1638C42—42no—
1639C42—42no—
1640C42—42no—
1641C42—42no—
1642C42—42no—
1643C42—44no—
1644C42—44no—
1645C42—41no—
1646C42—41no—
1647C42—44no—
1648C42—41no—
1649C42—41no—
1650C42C2×#4114yes—
1651C42H(5,𝔽2)14yes—
1652C42H(5,𝔽2)14yes—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—21no—
1667C23—22no—
1668C23—24no—
1669C23—24no—
1670C23—22no—
1671C23—24no—
1672C23—21no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—21no—
1678C23—24no—
1679C23—24no—
1680C23—24no—
1681C23—21no—
1682C23—21no—
1683C23—22no—
1684C23—24no—
1685C23—24no—
1686C23—22no—
1687C23—24no—
1688C23—24no—
1689C23—22no—
1690C23—22no—
1691C23—24no—
1692C23—24no—
1693C23—24no—
1694C23—24no—
1695C23—22no—
1696C23—22no—
1697C23—21no—
1698C23—22no—
1699C23—21no—
1700C23—416no—
1701C23—88no—
1702C23—88no—
1703C23—88no—
1704C23—88no—
1705C23—88no—
1706C23—88no—
1707C23—88no—
1708C23—88no—
1709C23—88no—
1710C23—164no—
1711C23—164no—
1712C23—164no—
1713C23—164no—
1714C23C22×#4114yes—
1715C23C2×H(5,𝔽2)14yes—
1716C23C2611yescharacteristic
1717Q8—28no—
1718Q8—44no—
1719D4—28no—
1720D4—28no—
1721D4—416no—
1722D4—48no—
1723D4—48no—
1724D4—48no—
1725D4—44no—
1726D4—48no—
1727D4—48no—
1728D4—44no—
1729D4—48no—
1730D4—48no—
1731D4—84no—
1732D4—88no—
1733D4—84no—
1734D4—84no—
1735D4—88no—
1736D4—88no—
1737D4—88no—
1738D4—88no—
1739D4—88no—
1740D4—84no—
1741D4—84no—
1742D4—84no—
1743D4—88no—
1744D4—88no—
1745D4—88no—
1746D4—88no—
1747D4—88no—
1748D4—84no—
1749D4—88no—
1750D4—88no—
1751D4—88no—
1752D4—164no—
1753D4—164no—
1754D4—164no—
1755D4—164no—
1756D4—164no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—24no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—48no—
1829C2×C4—48no—
1830C2×C4—48no—
1831C2×C4—44no—
1832C2×C4—48no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—44no—
1836C2×C4—48no—
1837C2×C4—84no—
1838C2×C4—82no—
1839C2×C4—84no—
1840C2×C4—88no—
1841C2×C4—84no—
1842C2×C4—88no—
1843C2×C4—164no—
1844C2×C4—164no—
1845C2×C4—164no—
1846C2×C4C22×#4112yes—
1847C2×C4C22×#4112yes—
1848C2×C4C22×#4114yes—
1849C2×C4C22×#4112yes—
1850C2×C4C2×H(5,𝔽2)12yes—
1851C2×C4C2×H(5,𝔽2)12yes—
1852C2×C4C2×H(5,𝔽2)12yes—
1853C2×C4C2×H(5,𝔽2)14yes—
1854C2×C4C2×H(5,𝔽2)12yes—
1855C2×C4C2×H(5,𝔽2)12yes—
1856C2×C4C2×H(5,𝔽2)12yes—
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C22—24no—
1860C22—24no—
1861C22—24no—
1862C22—24no—
1863C22—24no—
1864C22—24no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—41no—
1874C22—42no—
1875C22—44no—
1876C22—44no—
1877C22—42no—
1878C22—42no—
1879C22—44no—
1880C22—41no—
1881C22—42no—
1882C22—44no—
1883C22—42no—
1884C22—41no—
1885C22—44no—
1886C22—44no—
1887C22—42no—
1888C22—41no—
1889C22—42no—
1890C22—44no—
1891C22—44no—
1892C22—42no—
1893C22—41no—
1894C22—44no—
1895C22—44no—
1896C22—42no—
1897C22—42no—
1898C22—44no—
1899C22—42no—
1900C22—44no—
1901C22—42no—
1902C22—41no—
1903C22—42no—
1904C22—44no—
1905C22—44no—
1906C22—41no—
1907C22—42no—
1908C22—1616no—
1909C22—1616no—
1910C22C23×#4111yescharacteristic
1911C22C22×H(5,𝔽2)11yescharacteristic
1912C22C22×H(5,𝔽2)11yescharacteristic
1913C22C22×H(5,𝔽2)11yescharacteristic
1914C22C22×H(5,𝔽2)11yescharacteristic
1915C22H(7,𝔽2)11yescharacteristic
1916C22H(7,𝔽2)11yescharacteristic
1917C4—24no—
1918C4—22no—
1919C4—24no—
1920C4—22no—
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—41no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—41no—
1929C4—42no—
1930C4—41no—
1931C4—41no—
1932C4—42no—
1933C4—42no—
1934C4—41no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—41no—
1939C4—44no—
1940C4—42no—
1941C4—41no—
1942C4—44no—
1943C4#350814yes—
1944C4#353714yes—
1945C2—44no—
1946C2—44no—
1947C2—81no—
1948C2—82no—
1949C2—84no—
1950C2—84no—
1951C2—82no—
1952C2C2×#353711yescharacteristic
1953C2C2×#350811yescharacteristic
1954C2#6288011yescharacteristic
1955C2#6291211yescharacteristic
1956C2#6291611yescharacteristic
1957C2#6298311yescharacteristic
1958C2#6298611yescharacteristic
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. #59647C2semidirect
2. #59646C2semidirect
3. #59412C2semidirect
4. #59412C2semidirect
5. #59129C2semidirect
6. #59124C2semidirect
7. #49754C2semidirect
8. #48007C2semidirect
9. #46801C2semidirect
10. #46454C2semidirect
11. #45655C2semidirect
12. #45518C2semidirect
13. #45036C2semidirect
14. #44881C2semidirect
15. #42471C2semidirect
16. #42430C2semidirect
17. #40053C2semidirect
18. #39888C2semidirect
19. #39786C2semidirect
20. #39464C2semidirect
21. #39270C2semidirect
22. #39138C2semidirect
23. #38910C2semidirect
24. #38080C2semidirect
25. #37332C2semidirect
26. #36477C2semidirect
27. #36468C2semidirect
28. #36455C2semidirect
29. #36258C2semidirect
30. #36128C2semidirect
31. D4×#127C2semidirect
32. #35278C2semidirect
33. #34910C2semidirect
34. #34471C2semidirect
35. C4×#540C2semidirect
36. C2×#553C22semidirect
37. C2×#550C22semidirect
38. C2×#550C22semidirect
39. C2×#550C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
48. C2×#540C22semidirect
49. C2×#532C22semidirect
51. C2×#529C22semidirect
52. C2×C4×#41C22semidirect
54. #2859C22semidirect
56. #2856C22semidirect
57. #2856C22semidirect
58. #2856C22semidirect
59. #2856C22semidirect
60. #2855C22semidirect
61. #2854C22semidirect
62. #2854C22semidirect
63. #2828C22semidirect
64. #2815C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2797C22semidirect
68. #2797C22semidirect
69. #2797C22semidirect
70. #2797C22semidirect
71. #2796C22semidirect
72. #2786C22semidirect
73. #2752C22semidirect
74. #2714C22semidirect
75. #2714C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2709C22semidirect
79. #2709C22semidirect
80. #2708C22semidirect
81. #2703C22semidirect
82. #2699C22semidirect
83. #2697C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2685C22semidirect
87. #2682C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2671C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2661C22semidirect
106. #2648C22semidirect
107. #2641C22semidirect
108. #2630C22semidirect
109. #2624C22semidirect
110. #2619C22semidirect
111. #2619C22semidirect
112. #2613C22semidirect
113. #2608C22semidirect
114. #2602C22semidirect
115. #2602C22semidirect
116. #2602C22semidirect
117. #2602C22semidirect
118. #2602C22semidirect
119. #2601C22semidirect
120. #2601C22semidirect
121. #2600C22semidirect
122. #2595C22semidirect
123. #2587C22semidirect
124. #2570C22semidirect
126. #2566C22semidirect
127. #2565C22semidirect
128. #2562C22semidirect
129. #2559C22semidirect
130. #2554C22semidirect
131. #2548C22semidirect
132. #2548C22semidirect
133. #2548C22semidirect
134. #2545C22semidirect
136. #2544C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
147. #2540C22semidirect
150. #2537C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
153. #2535C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2535C22semidirect
157. #2534C22semidirect
158. #2513C22semidirect
159. #2513C22semidirect
160. #2504C22semidirect
161. #2500C22semidirect
162. #2500C22semidirect
163. #2499C22semidirect
164. #2497C22semidirect
165. #2496C22semidirect
166. #2490C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
169. #2490C22semidirect
170. #2464C22semidirect
171. #2456C22semidirect
172. #2455C22semidirect
173. #2447C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2435C22semidirect
187. #2433C22semidirect
188. #2432C22semidirect
190. #2431C22semidirect
191. #2431C22semidirect
192. #2431C22semidirect
193. #2429C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2426C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
211. #2424C22semidirect
212. #2424C22semidirect
213. #2422C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
216. #2420C22semidirect
217. #2416C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2411C22semidirect
223. #2410C22semidirect
224. #2410C22semidirect
225. #2410C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2408C22semidirect
231. #2407C22semidirect
232. #2407C22semidirect
233. #2407C22semidirect
234. #2405C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
237. #2377C22semidirect
238. #2375C22semidirect
239. #2370C22semidirect
240. #2367C22semidirect
241. #2366C22semidirect
242. #2366C22semidirect
243. #2366C22semidirect
244. #2363C22semidirect
245. #2361C22semidirect
246. #2358C22semidirect
248. #2355C22semidirect
249. #2354C22semidirect
250. #2352C22semidirect
251. Q8×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2341C22semidirect
256. D4×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. #2335C22semidirect
259. #2335C22semidirect
260. #2333C22semidirect
261. #2333C22semidirect
262. #2333C22semidirect
263. #2330C22semidirect
265. #2328C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2321C22semidirect
270. #2321C22semidirect
272. #2319C22semidirect
273. #2314C22semidirect
275. #2308C22semidirect
276. C4×C4⋊Q8C22semidirect
279. C4×#127C22semidirect
280. C4×#127C22semidirect
281. C4×#125C22semidirect
282. C4×#124C22semidirect
283. C4×#124C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×#123C22semidirect
286. C4×#123C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
294. #2290C22semidirect
295. #2290C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
1045. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596472
#596462
#594122
#591292
#591242
#497542
#480072
#468012
#464542
#456552
#455182
#450362
#448812
#424712
#424302
#400532
#398882
#397862
#394642
#392702
#391382
#389102
#380802
#373322
#364772
#364682
#364552
#362582
#361282
D4×#1272
#352782
#349102
#344712
C4×#5402