Finite Group Databasebeta

← #7780446

Subgroups — #7780446

Order 512.

5876 conjugacy classes of subgroups.

The subgroup lattice has 1923 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59822C211yesmaximal, characteristic, complemented
3#59753C212yesmaximal, complemented
4#59429C211yesmaximal, characteristic, complemented
5#59412C211yesmaximal, characteristic, complemented
6#59026C212yesmaximal, complemented
7#50850C214yesmaximal, complemented
8#49851C214yesmaximal, complemented
9#46789C214yesmaximal, complemented
10#46532C214yesmaximal, complemented
11#45655C212yesmaximal, complemented
12#45600C212yesmaximal, complemented
13#44927C212yesmaximal, complemented
14#44907C212yesmaximal, complemented
15#42893C212yesmaximal, complemented
16#42581C212yesmaximal, complemented
17#39958C212yesmaximal, complemented
18#39909C212yesmaximal, complemented
19#39194C211yesmaximal, characteristic, complemented
20#39132C212yesmaximal, complemented
21#39030C212yesmaximal, complemented
22#38953C211yesmaximal, characteristic, complemented
23#38910C212yesmaximal, complemented
24#38033C212yesmaximal, complemented
25#37332C212yesmaximal, complemented
26#36468C211yesmaximal, characteristic, complemented
27#36455C211yesmaximal, characteristic, complemented
28#36412C211yesmaximal, characteristic, complemented
29#36411C211yesmaximal, characteristic, complemented
30#36160C211yesmaximal, characteristic, complemented
31D4×#121C211yesmaximal, characteristic, complemented
32#35288C211yesmaximal, characteristic, complemented
33#34914C211yesmaximal, characteristic, complemented
34#34478C212yesmaximal, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#555C2211yescharacteristic, complemented
38C2×#555C2211yescharacteristic, complemented
39C2×#553C2212yescomplemented
40C2×#550C2211yescharacteristic, complemented
41C2×#550C2212yescomplemented
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×D42C2212yes—
45C2×#535C2211yescharacteristic
46C2×#529C2212yescomplemented
47C22×#121C2212yes—
48C2×C4×#41C2211yescharacteristic, complemented
49C22×C4×D4C2211yescharacteristic
50#2859C2211yescharacteristic, complemented
51#2858C2211yescharacteristic, complemented
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2856C2212yescomplemented
55#2856C2212yescomplemented
56#2854C2212yescomplemented
57#2854C2212yescomplemented
58#2847C2212yes—
59#2847C2212yescomplemented
60#2828C2214yescomplemented
61#2825C2214yescomplemented
62#2803C2214yescomplemented
63#2801C2214yescomplemented
64#2800C2214yescomplemented
65#2797C2214yescomplemented
66#2797C2214yescomplemented
67#2788C2214yescomplemented
68#2779C2214yescomplemented
69#2778C2214yescomplemented
70#2778C2214yescomplemented
71#2752C2214yescomplemented
72#2750C2214yescomplemented
73#2733C2214yescomplemented
74#2733C2214yescomplemented
75#2714C2214yescomplemented
76#2714C2214yescomplemented
77#2709C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2699C2214yescomplemented
81#2697C2214yescomplemented
82#2688C2214yescomplemented
83#2686C2214yescomplemented
84#2685C2214yescomplemented
85#2685C2214yescomplemented
86#2678C2214yescomplemented
87#2678C2214yescomplemented
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2676C2214yescomplemented
92#2675C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2672C2214yescomplemented
97#2671C2214yescomplemented
98#2670C2214yescomplemented
99#2670C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2662C2214yescomplemented
103#2648C2214yescomplemented
104#2648C2214yescomplemented
105#2644C2212yescomplemented
106#2624C2212yescomplemented
107#2624C2212yescomplemented
108#2619C2212yescomplemented
109#2617C2214yescomplemented
110#2602C2214yescomplemented
111#2601C2214yescomplemented
112#2597C2214yescomplemented
113#2597C2214yescomplemented
114#2594C2214yescomplemented
115#2581C2212yescomplemented
116#2570C2212yescomplemented
117#2567C2211yescharacteristic, complemented
118#2563C2211yescharacteristic
119#2562C2212yescomplemented
120#2560C2212yescomplemented
121#2559C2212yescomplemented
122#2559C2214yescomplemented
123#2559C2214yescomplemented
124#2558C2212yescomplemented
125#2557C2212yescomplemented
126#2555C2214yescomplemented
127#2555C2214yescomplemented
128#2555C2214yescomplemented
129#2548C2212yescomplemented
130#2548C2212yescomplemented
131#2548C2214yescomplemented
132#2541C2211yescharacteristic
133#2541C2212yescomplemented
134#2541C2211yescharacteristic, complemented
135#2541C2212yescomplemented
136#2541C2212yescomplemented
137#2541C2212yescomplemented
138#2540C2214yescomplemented
139#2538C2212yes—
140#2538C2211yescharacteristic, complemented
141#2537C2211yescharacteristic
142#2537C2211yescharacteristic
143#2537C2212yescomplemented
144#2537C2211yescharacteristic, complemented
145#2537C2212yescomplemented
146#2535C2212yescomplemented
147#2535C2212yescomplemented
148#2513C2212yescomplemented
149#2512C2211yescharacteristic, complemented
150#2506C2211yescharacteristic, complemented
151#2500C2212yescomplemented
152#2500C2212yescomplemented
153#2500C2212yescomplemented
154#2497C2212yescomplemented
155#2497C2212yescomplemented
156#2496C2211yescharacteristic, complemented
157#2496C2212yescomplemented
158#2494C2212yescomplemented
159#2494C2212yescomplemented
160#2491C2211yescharacteristic
161#2490C2212yescomplemented
162#2490C2214yescomplemented
163#2490C2212yescomplemented
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2476C2214yescomplemented
167#2474C2214yescomplemented
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2467C2214yescomplemented
171#2465C2214yescomplemented
172#2464C2214yescomplemented
173#2461C2214yescomplemented
174#2460C2214yescomplemented
175#2459C2214yescomplemented
176#2454C2212yescomplemented
177#2452C2211yescharacteristic, complemented
178#2448C2212yescomplemented
179#2447C2212yescomplemented
180#2445C2211yescharacteristic, complemented
181#2441C2212yescomplemented
182#2440C2212yescomplemented
183#2435C2214yescomplemented
184#2433C2212yes—
185#2433C2212yescomplemented
186#2433C2214yescomplemented
187#2431C2212yescomplemented
188#2428C2212yes—
189#2428C2211yescharacteristic
190#2428C2212yes—
191#2428C2212yescomplemented
192#2428C2212yescomplemented
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2428C2214yescomplemented
196#2427C2212yescomplemented
197#2426C2212yescomplemented
198#2426C2212yescomplemented
199#2424C2214yes—
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2422C2212yescomplemented
203#2422C2211yescharacteristic, complemented
204#2422C2212yescomplemented
205#2420C2212yescomplemented
206#2420C2212yescomplemented
207#2416C2212yes—
208#2416C2212yes—
209#2414C2212yes—
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2414C2212yescomplemented
217#2414C2214yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2214yescomplemented
222#2410C2214yes—
223#2410C2214yescomplemented
224#2408C2212yes—
225#2408C2212yes—
226#2408C2212yes—
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2408C2214yescomplemented
230#2407C2212yescomplemented
231#2407C2212yescomplemented
232#2398C2212yescomplemented
233#2392C2212yescomplemented
234#2377C2214yescomplemented
235#2375C2214yescomplemented
236#2374C2214yescomplemented
237#2367C2212yes—
238#2363C2212yes—
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2354C2211yescharacteristic, complemented
243#2354C2212yescomplemented
244#2354C2211yescharacteristic, complemented
245#2354C2212yescomplemented
246#2354C2212yescomplemented
247#2354C2212yescomplemented
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250Q8×C4⋊C4C2211yescharacteristic, complemented
251D4×C4⋊C4C2211yescharacteristic
252#2345C2212yescomplemented
253#2342C2214yescomplemented
254#2341C2212yescomplemented
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yescomplemented
257#2335C2214yescomplemented
258#2328C2211yescharacteristic
259#2328C2211yescharacteristic, complemented
260#2326C2211yescharacteristic
261#2326C2211yescharacteristic, complemented
262#2324C2214yescomplemented
263#2324C2212yescomplemented
264#2324C2212yescomplemented
265#2324C2212yescomplemented
266#2323C2212yescomplemented
267#2321C2212yescomplemented
268#2321C2212yescomplemented
269#2321C2214yescomplemented
270#2319C2212yescomplemented
271#2317C2211yescharacteristic, complemented
272#2312C2214yescomplemented
273#2311C2211yescharacteristic, complemented
274#2309C2211yescharacteristic
275#2309C2212yes—
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic, complemented
280C4×#127C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic, complemented
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic, complemented
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2212yescomplemented
290C4×#120C2212yescomplemented
291C4×#120C2212yescomplemented
292#2297C2212yescomplemented
293#2296C2212yescomplemented
294#2293C2211yescharacteristic, complemented
295#2290C2212yescomplemented
296#2280C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2314yes—
305C24×C4C2312yes—
306#555—48no—
307#555—44no—
308#555—44no—
309#553—48no—
310#550—44no—
311#550—48no—
312#546—216no—
313D42—44no—
314D42—48no—
315#535—28no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2314yes—
326C2×#127C2314yes—
327#529—48no—
328C2×#126C2312yes—
329C2×#126C2314yes—
330C2×#126C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×#121—48no—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#120C2314yes—
391C2×#120C2312yes—
392C2×#120C2312yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C4×#41—44no—
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2312yes—
406C2×C4×D4—44no—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2312yes—
439C2×#117C2311yescharacteristic
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2314yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2314yes—
453C22×C42C2311yescharacteristic
454C22×C42C2312yes—
455C22×C42C2312yes—
456#401C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2312yes—
461#400C2312yes—
462#399C2314yes—
463#399C2314yes—
464#398C2312yes—
465#398C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#393C2312yes—
526#393C2314yes—
527#393C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2312yes—
557#391C2312yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2314yes—
582#390C2314yes—
583#390C2312yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2312yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2311yescharacteristic
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2314yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2311yescharacteristic
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2312yes—
747#382C2312yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2312yes—
751#381C2314yes—
752#381C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#379C2314yes—
776#379C2312yes—
777#379C2312yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820#376C2311yescharacteristic
821#376C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C25C2412yes—
825C25C2414yes—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4—24no—
836C22×D4—28no—
837C22×D4—24no—
838C22×D4—42no—
839C22×D4—44no—
840C22×D4—48no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—48no—
846C22×D4—84no—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C23×C4—44no—
880C23×C4—44no—
881C23×C4—44no—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C4⋊Q8—24no—
901C4⋊Q8—24no—
902#127—24no—
903#127—24no—
904#127—24no—
905#127—42no—
906#127—44no—
907#127—44no—
908#127—44no—
909#127—48no—
910#127—84no—
911#126—48no—
912#126—44no—
913#126—44no—
914#125—44no—
915#125—44no—
916#124—24no—
917#124—48no—
918#124—44no—
919#124—48no—
920#124—48no—
921#124—48no—
922#124—82no—
923#124—82no—
924#124#4118yes—
925#123—216no—
926#123—44no—
927#123—44no—
928#123—48no—
929#123—84no—
930C22⋊Q8—28no—
931C22⋊Q8—44no—
932C22⋊Q8—82no—
933C22⋊Q8—84no—
934#121—28no—
935#121—28no—
936#121—24no—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—216no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—48no—
948#121—44no—
949#121—48no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—42no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—84no—
968#121—82no—
969#121—84no—
970#121—84no—
971#121—84no—
972#120—28no—
973#120—28no—
974#120—216no—
975#120—48no—
976#120—48no—
977#120—48no—
978#120—84no—
979#120—84no—
980#120—84no—
981#120—84no—
982C4×Q8—24no—
983C4×Q8—44no—
984C4×Q8—42no—
985C4×Q8—44no—
986C4×Q8—82no—
987C4×D4—28no—
988C4×D4—28no—
989C4×D4—24no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—44no—
998C4×D4—42no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—48no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—48no—
1015C4×D4—82no—
1016#117—24no—
1017#117—28no—
1018#117—24no—
1019#117—44no—
1020#117—44no—
1021#117—48no—
1022#117—42no—
1023#117—44no—
1024#117—44no—
1025#117—44no—
1026#117—44no—
1027#117—44no—
1028C2×C4⋊C4—28no—
1029C2×C4⋊C4—42no—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C22⋊C4—216no—
1081C2×C22⋊C4—44no—
1082C2×C22⋊C4—48no—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C42—24no—
1167C2×C42—44no—
1168C2×C42—44no—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2414yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2414yes—
1189C2×C42C2412yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2414yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244C24—24no—
1245C24—24no—
1246C24—28no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24—44no—
1251C24—42no—
1252C24—42no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24C2512yes—
1259C24C2512yes—
1260C24C2514yes—
1261C24C2512yes—
1262C24C2512yes—
1263C24C2512yes—
1264C24C2511yescharacteristic
1265#41—416no—
1266#41—816no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—42no—
1272C2×Q8—42no—
1273C2×Q8—42no—
1274C2×Q8—42no—
1275C2×Q8C2×#4114yes—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—28no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—28no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—22no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—28no—
1311C2×D4—22no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—416no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—42no—
1343C2×D4—44no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
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—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—816no—
1373C2×D4—816no—
1374C2×D4—832no—
1375C2×D4C2×#4114yes—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—28no—
1399C22×C4—28no—
1400C22×C4—22no—
1401C22×C4—28no—
1402C22×C4—24no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—44no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—42no—
1416C22×C4—44no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—41no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—41no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—816no—
1430C22×C4H(5,𝔽2)14yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2514yes—
1443C22×C4C2514yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2514yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C4⋊C4—22no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—28no—
1464C4⋊C4—24no—
1465C4⋊C4—28no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4H(5,𝔽2)14yes—
1509C22⋊C4—28no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—28no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—28no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4C2×#4118yes—
1591C22⋊C4C2×#4118yes—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—24no—
1598C42—24no—
1599C42—28no—
1600C42—22no—
1601C42—24no—
1602C42—22no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—42no—
1607C42—42no—
1608C42—42no—
1609C42—42no—
1610C42—44no—
1611C42—44no—
1612C42—44no—
1613C42—44no—
1614C42—41no—
1615C42—41no—
1616C42—44no—
1617C42—41no—
1618C42—41no—
1619C42C2×#4114yes—
1620C42H(5,𝔽2)14yes—
1621C23—21no—
1622C23—22no—
1623C23—21no—
1624C23—22no—
1625C23—22no—
1626C23—21no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—22no—
1631C23—22no—
1632C23—21no—
1633C23—22no—
1634C23—22no—
1635C23—24no—
1636C23—22no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—24no—
1644C23—22no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—24no—
1649C23—22no—
1650C23—22no—
1651C23—24no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—24no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—24no—
1660C23—22no—
1661C23—24no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—48no—
1669C23—48no—
1670C23—84no—
1671C23—84no—
1672C23—84no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—84no—
1677C23—84no—
1678C23—88no—
1679C23—88no—
1680C23—164no—
1681C23—164no—
1682C23C22×#4114yes—
1683C23C2×H(5,𝔽2)12yes—
1684C23C2611yescharacteristic
1685Q8—28no—
1686Q8—84no—
1687Q8—84no—
1688D4—28no—
1689D4—48no—
1690D4—48no—
1691D4—48no—
1692D4—44no—
1693D4—48no—
1694D4—44no—
1695D4—44no—
1696D4—48no—
1697D4—44no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—88no—
1703D4—88no—
1704D4—88no—
1705D4—84no—
1706D4—84no—
1707D4—84no—
1708D4—88no—
1709D4—88no—
1710D4—84no—
1711D4—88no—
1712D4—88no—
1713D4—88no—
1714D4—164no—
1715D4—164no—
1716D4—164no—
1717D4—164no—
1718D4—164no—
1719D4—164no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—28no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—24no—
1782C2×C4—21no—
1783C2×C4—24no—
1784C2×C4—21no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—48no—
1794C2×C4—48no—
1795C2×C4—48no—
1796C2×C4—48no—
1797C2×C4—48no—
1798C2×C4—44no—
1799C2×C4—48no—
1800C2×C4—88no—
1801C2×C4—82no—
1802C2×C4—84no—
1803C2×C4—88no—
1804C2×C4—88no—
1805C2×C4—84no—
1806C2×C4—84no—
1807C2×C4—84no—
1808C2×C4—84no—
1809C2×C4—84no—
1810C2×C4C22×#4112yes—
1811C2×C4C22×#4112yes—
1812C2×C4C22×#4114yes—
1813C2×C4C22×#4112yes—
1814C2×C4C2×H(5,𝔽2)14yes—
1815C2×C4C2×H(5,𝔽2)12yes—
1816C2×C4C2×H(5,𝔽2)12yes—
1817C2×C4C2×H(5,𝔽2)12yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4#58512yes—
1822C22—24no—
1823C22—24no—
1824C22—22no—
1825C22—24no—
1826C22—22no—
1827C22—22no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—42no—
1832C22—41no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—44no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—44no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—44no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—44no—
1855C22—42no—
1856C22—42no—
1857C22—44no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—44no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—44no—
1869C22—42no—
1870C22—42no—
1871C22—816no—
1872C22—1616no—
1873C22C23×#4111yescharacteristic
1874C22C22×H(5,𝔽2)11yescharacteristic
1875C22C22×H(5,𝔽2)11yescharacteristic
1876C22C22×H(5,𝔽2)11yescharacteristic
1877C22C2×#58511yescharacteristic
1878C22H(7,𝔽2)11yescharacteristic
1879C22H(7,𝔽2)11yescharacteristic
1880C4—22no—
1881C4—22no—
1882C4—22no—
1883C4—24no—
1884C4—22no—
1885C4—24no—
1886C4—44no—
1887C4—41no—
1888C4—41no—
1889C4—42no—
1890C4—42no—
1891C4—41no—
1892C4—42no—
1893C4—42no—
1894C4—42no—
1895C4—41no—
1896C4—42no—
1897C4—44no—
1898C4—41no—
1899C4—44no—
1900C4—42no—
1901C4—41no—
1902C4—41no—
1903C4—42no—
1904C4—41no—
1905C4—42no—
1906C4#351914yes—
1907C4#354614yes—
1908C2—42no—
1909C2—44no—
1910C2—82no—
1911C2—82no—
1912C2—82no—
1913C2—84no—
1914C2—82no—
1915C2C2×#354611yescharacteristic
1916C2C2×#351911yescharacteristic
1917C2#6288011yescharacteristic
1918C2#6291211yescharacteristic
1919C2#6293011yescharacteristic
1920C2#6298611yescharacteristic
1921C2#6299411yescharacteristic
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. #59822C2semidirect
2. #59822C2semidirect
3. #59753C2semidirect
4. #59429C2semidirect
5. #59412C2semidirect
6. #59026C2semidirect
7. #50850C2semidirect
8. #49851C2semidirect
9. #46789C2semidirect
10. #46532C2semidirect
11. #45655C2semidirect
12. #45600C2semidirect
13. #44927C2semidirect
14. #44907C2semidirect
15. #42893C2semidirect
16. #42581C2semidirect
17. #39958C2semidirect
18. #39909C2semidirect
19. #39194C2semidirect
20. #39132C2semidirect
21. #39030C2semidirect
22. #38953C2semidirect
23. #38910C2semidirect
24. #38033C2semidirect
25. #37332C2semidirect
26. #36468C2semidirect
27. #36455C2semidirect
28. #36412C2semidirect
29. #36411C2semidirect
30. #36160C2semidirect
31. D4×#121C2semidirect
32. #35288C2semidirect
33. #34914C2semidirect
34. #34478C2semidirect
35. C4×#535C2semidirect
36. C2×#555C22semidirect
37. C2×#555C22semidirect
38. C2×#555C22semidirect
39. C2×#553C22semidirect
40. C2×#550C22semidirect
41. C2×#550C22semidirect
46. C2×#529C22semidirect
48. C2×C4×#41C22semidirect
50. #2859C22semidirect
51. #2858C22semidirect
52. #2857C22semidirect
54. #2856C22semidirect
55. #2856C22semidirect
56. #2854C22semidirect
57. #2854C22semidirect
59. #2847C22semidirect
60. #2828C22semidirect
61. #2825C22semidirect
62. #2803C22semidirect
63. #2801C22semidirect
64. #2800C22semidirect
65. #2797C22semidirect
66. #2797C22semidirect
67. #2788C22semidirect
68. #2779C22semidirect
69. #2778C22semidirect
70. #2778C22semidirect
71. #2752C22semidirect
72. #2750C22semidirect
73. #2733C22semidirect
74. #2733C22semidirect
75. #2714C22semidirect
76. #2714C22semidirect
77. #2709C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2699C22semidirect
81. #2697C22semidirect
82. #2688C22semidirect
83. #2686C22semidirect
84. #2685C22semidirect
85. #2685C22semidirect
86. #2678C22semidirect
87. #2678C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2676C22semidirect
92. #2675C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2672C22semidirect
97. #2671C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2662C22semidirect
103. #2648C22semidirect
104. #2648C22semidirect
105. #2644C22semidirect
106. #2624C22semidirect
107. #2624C22semidirect
108. #2619C22semidirect
109. #2617C22semidirect
110. #2602C22semidirect
111. #2601C22semidirect
112. #2597C22semidirect
113. #2597C22semidirect
114. #2594C22semidirect
115. #2581C22semidirect
116. #2570C22semidirect
117. #2567C22semidirect
119. #2562C22semidirect
120. #2560C22semidirect
121. #2559C22semidirect
122. #2559C22semidirect
123. #2559C22semidirect
124. #2558C22semidirect
125. #2557C22semidirect
126. #2555C22semidirect
127. #2555C22semidirect
128. #2555C22semidirect
129. #2548C22semidirect
130. #2548C22semidirect
131. #2548C22semidirect
133. #2541C22semidirect
134. #2541C22semidirect
135. #2541C22semidirect
136. #2541C22semidirect
137. #2541C22semidirect
138. #2540C22semidirect
140. #2538C22semidirect
143. #2537C22semidirect
144. #2537C22semidirect
145. #2537C22semidirect
146. #2535C22semidirect
147. #2535C22semidirect
148. #2513C22semidirect
149. #2512C22semidirect
150. #2506C22semidirect
151. #2500C22semidirect
152. #2500C22semidirect
153. #2500C22semidirect
154. #2497C22semidirect
155. #2497C22semidirect
156. #2496C22semidirect
157. #2496C22semidirect
158. #2494C22semidirect
159. #2494C22semidirect
161. #2490C22semidirect
162. #2490C22semidirect
163. #2490C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2476C22semidirect
167. #2474C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2467C22semidirect
171. #2465C22semidirect
172. #2464C22semidirect
173. #2461C22semidirect
174. #2460C22semidirect
175. #2459C22semidirect
176. #2454C22semidirect
177. #2452C22semidirect
178. #2448C22semidirect
179. #2447C22semidirect
180. #2445C22semidirect
181. #2441C22semidirect
182. #2440C22semidirect
183. #2435C22semidirect
185. #2433C22semidirect
186. #2433C22semidirect
187. #2431C22semidirect
191. #2428C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2427C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2422C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
223. #2410C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2407C22semidirect
231. #2407C22semidirect
232. #2398C22semidirect
233. #2392C22semidirect
234. #2377C22semidirect
235. #2375C22semidirect
236. #2374C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2354C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2354C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. Q8×C4⋊C4C22semidirect
252. #2345C22semidirect
253. #2342C22semidirect
254. #2341C22semidirect
256. D4×C22⋊C4C22semidirect
257. #2335C22semidirect
259. #2328C22semidirect
261. #2326C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
264. #2324C22semidirect
265. #2324C22semidirect
266. #2323C22semidirect
267. #2321C22semidirect
268. #2321C22semidirect
269. #2321C22semidirect
270. #2319C22semidirect
271. #2317C22semidirect
272. #2312C22semidirect
273. #2311C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
279. C4×#127C22semidirect
280. C4×#127C22semidirect
281. C4×#127C22semidirect
283. C4×#124C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. C4×#120C22semidirect
292. #2297C22semidirect
293. #2296C22semidirect
294. #2293C22semidirect
295. #2290C22semidirect
296. #2280C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#597532
#594292
#594122
#590262
#508502
#498512
#467892
#465322
#456552
#456002
#449272
#449072
#428932
#425812
#399582
#399092
#391942
#391322
#390302
#389532
#389102
#380332
#373322
#364682
#364552
#364122
#364112
#361602
D4×#1212
#352882
#349142
#344782
C4×#5352