Finite Group Databasebeta

← #7650119

Subgroups — #7650119

Order 512.

5942 conjugacy classes of subgroups.

The subgroup lattice has 1968 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42989C212yesmaximal, complemented
2#42920C212yesmaximal, complemented
3#42894C212yesmaximal, complemented
4#42862C212yesmaximal, complemented
5#42619C212yesmaximal, complemented
6#42555C212yesmaximal, complemented
7#42463C212yesmaximal, complemented
8#42446C212yesmaximal, complemented
9#40754C214yesmaximal, complemented
10#40692C214yesmaximal, complemented
11#40196C212yesmaximal, complemented
12#40068C212yesmaximal, complemented
13#39934C212yesmaximal, complemented
14#39908C212yesmaximal, complemented
15#39408C212yesmaximal, complemented
16#39349C212yesmaximal, complemented
17#39222C212yesmaximal, complemented
18#39154C212yesmaximal, complemented
19#38596C214yesmaximal, complemented
20#37716C214yesmaximal, complemented
21#35592C211yesmaximal, characteristic, complemented
22#35574C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35263C211yesmaximal, characteristic, complemented
28#35251C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30C2×#2547C211yesmaximal, characteristic, complemented
31#34737C211yesmaximal, characteristic, complemented
32#34736C211yesmaximal, characteristic, complemented
33#34274C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34175C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#538C2214yes—
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic, complemented
41C22×#124C2212yes—
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2211yescharacteristic, complemented
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic
48C2×#520C2211yescharacteristic, complemented
49C22×C4×D4C2211yescharacteristic
50C22×#117C2211yescharacteristic, complemented
51#2855C2212yescomplemented
52#2854C2212yescomplemented
53#2852C2214yescomplemented
54#2848C2212yescomplemented
55#2847C2212yescomplemented
56#2831C2214yescomplemented
57#2829C2214yescomplemented
58#2827C2214yescomplemented
59#2825C2214yescomplemented
60#2806C2214yescomplemented
61#2800C2214yescomplemented
62#2797C2214yescomplemented
63#2797C2214yescomplemented
64#2788C2214yescomplemented
65#2787C2214yescomplemented
66#2786C2214yescomplemented
67#2779C2214yescomplemented
68#2778C2214yescomplemented
69#2764C2214yescomplemented
70#2759C2214yescomplemented
71#2751C2214yescomplemented
72#2751C2214yescomplemented
73#2750C2214yescomplemented
74#2749C2214yescomplemented
75#2745C2214yescomplemented
76#2735C2214yescomplemented
77#2733C2214yescomplemented
78#2730C2214yescomplemented
79#2730C2214yescomplemented
80#2715C2214yes—
81#2715C2214yescomplemented
82#2710C2214yescomplemented
83#2708C2214yescomplemented
84#2702C2214yescomplemented
85#2697C2214yescomplemented
86#2695C2214yescomplemented
87#2688C2214yescomplemented
88#2686C2214yes—
89#2684C2214yes—
90#2676C2214yescomplemented
91#2670C2214yes—
92#2665C2214yescomplemented
93#2662C2214yescomplemented
94#2653C2214yescomplemented
95#2653C2214yescomplemented
96#2652C2214yescomplemented
97#2651C2214yescomplemented
98#2648C2214yescomplemented
99#2648C2214yescomplemented
100#2643C2214yescomplemented
101#2643C2214yescomplemented
102#2631C2214yescomplemented
103#2630C2214yescomplemented
104#2625C2212yescomplemented
105#2624C2212yescomplemented
106#2622C2214yescomplemented
107#2616C2212yescomplemented
108#2615C2212yescomplemented
109#2595C2214yescomplemented
110#2591C2214yescomplemented
111#2589C2214yescomplemented
112#2586C2214yescomplemented
113#2579C2214yescomplemented
114#2578C2214yescomplemented
115#2557C2214yes—
116#2555C2214yescomplemented
117#2547C2212yes—
118#2547C2212yes—
119#2547C2212yes—
120#2547C2212yes—
121#2547C2212yescomplemented
122#2547C2212yescomplemented
123#2547C2212yescomplemented
124#2547C2212yescomplemented
125#2538C2212yescomplemented
126#2538C2212yescomplemented
127#2537C2212yescomplemented
128#2537C2212yescomplemented
129#2536C2212yescomplemented
130#2536C2212yescomplemented
131#2535C2212yescomplemented
132#2535C2212yescomplemented
133#2514C2212yescomplemented
134#2513C2212yescomplemented
135#2512C2212yescomplemented
136#2511C2212yescomplemented
137#2498C2214yescomplemented
138#2497C2212yescomplemented
139#2497C2212yescomplemented
140#2497C2212yescomplemented
141#2496C2212yescomplemented
142#2496C2212yescomplemented
143#2496C2212yescomplemented
144#2495C2212yescomplemented
145#2495C2212yescomplemented
146#2495C2212yescomplemented
147#2494C2212yescomplemented
148#2494C2212yescomplemented
149#2494C2212yescomplemented
150#2493C2214yescomplemented
151#2492C2212yescomplemented
152#2492C2212yescomplemented
153#2492C2212yescomplemented
154#2492C2212yescomplemented
155#2491C2212yescomplemented
156#2491C2212yescomplemented
157#2491C2212yescomplemented
158#2491C2212yescomplemented
159#2487C2212yescomplemented
160#2487C2212yescomplemented
161#2486C2212yescomplemented
162#2486C2212yescomplemented
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2485C2212yescomplemented
166#2485C2212yescomplemented
167#2480C2214yes—
168#2480C2214yescomplemented
169#2472C2214yes—
170#2459C2214yescomplemented
171#2459C2214yescomplemented
172#2452C2212yescomplemented
173#2452C2212yescomplemented
174#2451C2212yescomplemented
175#2451C2212yescomplemented
176#2450C2214yescomplemented
177#2444C2214yescomplemented
178#2440C2212yescomplemented
179#2440C2212yescomplemented
180#2439C2212yescomplemented
181#2439C2212yescomplemented
182#2436C2214yescomplemented
183#2430C2214yes—
184#2425C2214yescomplemented
185#2425C2214yescomplemented
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2423C2212yescomplemented
189#2422C2212yescomplemented
190#2421C2212yescomplemented
191#2420C2212yescomplemented
192#2419C2214yescomplemented
193#2418C2214yes—
194#2417C2211yescharacteristic
195#2417C2212yescomplemented
196#2417C2212yescomplemented
197#2417C2211yescharacteristic, complemented
198#2416C2211yescharacteristic
199#2416C2212yescomplemented
200#2416C2211yescharacteristic, complemented
201#2416C2212yescomplemented
202#2415C2211yescharacteristic
203#2415C2212yescomplemented
204#2415C2211yescharacteristic, complemented
205#2415C2212yescomplemented
206#2414C2211yescharacteristic
207#2414C2212yescomplemented
208#2414C2211yescharacteristic, complemented
209#2414C2212yescomplemented
210#2413C2212yescomplemented
211#2412C2214yescomplemented
212#2412C2212yescomplemented
213#2411C2212yes—
214#2410C2214yes—
215#2410C2212yes—
216#2409C2211yescharacteristic
217#2409C2211yescharacteristic
218#2409C2212yescomplemented
219#2409C2214yescomplemented
220#2408C2211yescharacteristic
221#2408C2211yescharacteristic
222#2408C2212yescomplemented
223#2407C2211yescharacteristic
224#2407C2211yescharacteristic
225#2407C2211yescharacteristic
226#2407C2211yescharacteristic
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2406C2212yes—
230#2405C2212yes—
231#2404C2212yes—
232#2403C2212yes—
233#2392C2212yes—
234#2392C2212yescomplemented
235C2×#397C2212yes—
236C2×#397C2212yescomplemented
237#2388C2212yes—
238#2388C2212yes—
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2362C2212yescomplemented
243#2361C2212yescomplemented
244#2361C2212yescomplemented
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2359C2214yescomplemented
248#2358C2214yescomplemented
249#2354C2212yescomplemented
250#2352C2212yescomplemented
251#2352C2212yescomplemented
252D4×C4⋊C4C2212yescomplemented
253#2341C2212yescomplemented
254Q8×C22⋊C4C2212yescomplemented
255#2339C2214yes—
256#2339C2212yescomplemented
257D4×C22⋊C4C2214yes—
258D4×C22⋊C4C2212yescomplemented
259#2337C2214yes—
260#2337C2214yescomplemented
261#2329C2214yescomplemented
262#2325C2214yescomplemented
263#2324C2212yescomplemented
264#2323C2212yescomplemented
265#2317C2211yescharacteristic, complemented
266#2317C2211yescharacteristic, complemented
267#2317C2211yescharacteristic, complemented
268#2316C2211yescharacteristic, complemented
269#2316C2211yescharacteristic, complemented
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic, complemented
275#2311C2212yescomplemented
276#2311C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2212yescomplemented
280C4×#121C2214yescomplemented
281C4×#121C2212yescomplemented
282C4×#120C2212yes—
283C4×#120C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic, complemented
287#2296C2211yescharacteristic, complemented
288C2×#391C2212yescomplemented
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2212yescomplemented
292C2×#380C2211yescharacteristic
293C2×#380C2211yescharacteristic
294C2×#380C2211yescharacteristic, complemented
295C2×#380C2211yescharacteristic, complemented
296C2×#380C2212yescomplemented
297#2274C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41—28no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×Q8C2312yes—
311C23×D4C2312yes—
312C23×D4C2311yescharacteristic
313C23×D4C2311yescharacteristic
314C24×C4C2311yescharacteristic
315C24×C4C2311yescharacteristic
316C24×C4C2312yes—
317#538—416no—
318#537—28no—
319#537—44no—
320C2×C4⋊Q8—44no—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2312yes—
324C2×C4⋊Q8C2312yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#124—48no—
328C2×#124C2314yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334#525—28no—
335#525—44no—
336#525—44no—
337#525—44no—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#120C2312yes—
377C2×#120C2312yes—
378C2×#120C2314yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×#120C2312yes—
382C2×#120C2312yes—
383#520—44no—
384#520—44no—
385#520—44no—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×D4—44no—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×#117—44no—
415C2×#117C2311yescharacteristic
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2314yes—
440C22×C22⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2311yescharacteristic
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2311yescharacteristic
445C22×C22⋊C4C2312yes—
446C22×C42C2311yescharacteristic
447C22×C42C2312yes—
448C22×C42C2312yes—
449#401C2314yes—
450#401C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#399C2314yes—
462#399C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2312yes—
504#396C2312yes—
505#396C2312yes—
506#396C2314yes—
507#395C2314yes—
508#395C2312yes—
509#395C2314yes—
510#395C2312yes—
511#395C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2312yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#393C2312yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2312yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#392C2312yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2312yes—
555#392C2312yes—
556#392C2312yes—
557#392C2312yes—
558#392C2312yes—
559#392C2312yes—
560#392C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2314yes—
566#391C2314yes—
567#391C2312yes—
568#391C2314yes—
569#391C2314yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2314yes—
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2314yes—
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2314yes—
620#389C2314yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2314yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#383C2314yes—
735#383C2314yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#381C2312yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#381C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#379C2314yes—
787#379C2312yes—
788#379C2314yes—
789#379C2312yes—
790#379C2312yes—
791#379C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C2×#95C2312yes—
822C2×#95C2314yes—
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2312yes—
827C25C2411yescharacteristic
828C25C2411yescharacteristic
829C25C2412yes—
830C2×#41—24no—
831C2×#41—28no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—28no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—42no—
847C2×#41—42no—
848C2×#41—42no—
849C2×#41—42no—
850C2×#41—464no—
851C2×#41#4118yes—
852C22×Q8—24no—
853C22×Q8—44no—
854C22×Q8—42no—
855C22×Q8—42no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8C2411yescharacteristic
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2414yes—
862C22×Q8C2414yes—
863C22×Q8C2412yes—
864C22×D4—28no—
865C22×D4—24no—
866C22×D4—24no—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—42no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2411yescharacteristic
896C23×C4—24no—
897C23×C4—28no—
898C23×C4—24no—
899C23×C4—24no—
900C23×C4—24no—
901C23×C4—24no—
902C23×C4—24no—
903C23×C4—44no—
904C23×C4—44no—
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2414yes—
932C23×C4C2411yescharacteristic
933C4⋊Q8—44no—
934C4⋊Q8—44no—
935C4⋊Q8—44no—
936C4⋊Q8—44no—
937#126—48no—
938#126—48no—
939#124—216no—
940#124—48no—
941#124—48no—
942#124—48no—
943#124—48no—
944#124—48no—
945#123—28no—
946#123—48no—
947#123—44no—
948#123—44no—
949#123—44no—
950#123—48no—
951C22⋊Q8—24no—
952C22⋊Q8—24no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—48no—
956C22⋊Q8—48no—
957C22⋊Q8—42no—
958C22⋊Q8—42no—
959C22⋊Q8—42no—
960C22⋊Q8—42no—
961C22⋊Q8—42no—
962C22⋊Q8—42no—
963C22⋊Q8—44no—
964C22⋊Q8—44no—
965#121—24no—
966#121—24no—
967#121—28no—
968#121—216no—
969#121—28no—
970#121—28no—
971#121—44no—
972#121—48no—
973#121—48no—
974#121—42no—
975#121—42no—
976#121—42no—
977#121—42no—
978#121—42no—
979#121—42no—
980#121—44no—
981#121—44no—
982#121—48no—
983#120—28no—
984#120—28no—
985#120—44no—
986#120—44no—
987#120—44no—
988#120—44no—
989#120—48no—
990C4×Q8—44no—
991C4×Q8—44no—
992C4×Q8—44no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—48no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—42no—
1003C4×D4—42no—
1004C4×D4—42no—
1005C4×D4—42no—
1006C4×D4—42no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—48no—
1014C4×D4—48no—
1015C4×D4—48no—
1016C4×D4—48no—
1017#117—24no—
1018#117—24no—
1019#117—24no—
1020#117—24no—
1021#117—24no—
1022#117—44no—
1023#117—44no—
1024#117—42no—
1025#117—42no—
1026#117—44no—
1027#117—44no—
1028#117—44no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—24no—
1032C2×C4⋊C4—24no—
1033C2×C4⋊C4—42no—
1034C2×C4⋊C4—42no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—42no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C22⋊C4—44no—
1094C2×C22⋊C4—44no—
1095C2×C22⋊C4—44no—
1096C2×C22⋊C4—44no—
1097C2×C22⋊C4—44no—
1098C2×C22⋊C4—48no—
1099C2×C22⋊C4—42no—
1100C2×C22⋊C4—42no—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C42—24no—
1178C2×C42—44no—
1179C2×C42—44no—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2412yes—
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2414yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—24no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—24no—
1264C24—42no—
1265C24—42no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—42no—
1273C24—42no—
1274C24—42no—
1275C24C2511yescharacteristic
1276C24C2512yes—
1277C24C2511yescharacteristic
1278C24C2512yes—
1279C24C2512yes—
1280C24C2511yescharacteristic
1281C24C2511yescharacteristic
1282C24C2511yescharacteristic
1283#41—232no—
1284#41—432no—
1285#41—432no—
1286#41—416no—
1287#41—416no—
1288#41—416no—
1289#41—416no—
1290C2×Q8—22no—
1291C2×Q8—24no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—28no—
1300C2×Q8—28no—
1301C2×Q8—42no—
1302C2×Q8—42no—
1303C2×Q8—44no—
1304C2×Q8—44no—
1305C2×Q8—44no—
1306C2×Q8—44no—
1307C2×Q8—416no—
1308C2×Q8—816no—
1309C2×Q8C2×#4114yes—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—28no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—416no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—432no—
1378C2×D4—416no—
1379C2×D4C2×#4118yes—
1380C2×D4C2×#4114yes—
1381C2×D4H(5,𝔽2)14yes—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—24no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—432no—
1463C22×C4—416no—
1464C22×C4—416no—
1465C22×C4C2×#4118yes—
1466C22×C4C2×#4114yes—
1467C22×C4H(5,𝔽2)14yes—
1468C22×C4H(5,𝔽2)14yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2512yes—
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2511yescharacteristic
1475C22×C4C2511yescharacteristic
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2514yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2514yes—
1484C22×C4C2514yes—
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—28no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—41no—
1522C4⋊C4—41no—
1523C4⋊C4—41no—
1524C4⋊C4—41no—
1525C4⋊C4—44no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4—42no—
1538C4⋊C4—42no—
1539C4⋊C4—42no—
1540C4⋊C4—42no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—28no—
1558C22⋊C4—28no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—41no—
1575C22⋊C4—41no—
1576C22⋊C4—41no—
1577C22⋊C4—41no—
1578C22⋊C4—41no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—41no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—44no—
1618C22⋊C4—42no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C42—24no—
1626C42—22no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—24no—
1631C42—24no—
1632C42—28no—
1633C42—24no—
1634C42—24no—
1635C42—42no—
1636C42—42no—
1637C42—44no—
1638C42—44no—
1639C42—44no—
1640C42—44no—
1641C42—44no—
1642C42—44no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—22no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—22no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—22no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—22no—
1667C23—22no—
1668C23—21no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—21no—
1678C23—21no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—22no—
1687C23—22no—
1688C23—21no—
1689C23—22no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—44no—
1694C23—44no—
1695C23—44no—
1696C23—44no—
1697C23—44no—
1698C23—44no—
1699C23—48no—
1700C23—48no—
1701C23—44no—
1702C23—44no—
1703C23—82no—
1704C23—82no—
1705C23—82no—
1706C23—82no—
1707C23—82no—
1708C23—82no—
1709C23—84no—
1710C23—84no—
1711C23—84no—
1712C23—84no—
1713C23—84no—
1714C23C22×#4114yes—
1715C23C22×#4112yes—
1716C23C2×H(5,𝔽2)12yes—
1717C23C2×H(5,𝔽2)12yes—
1718C23C2×H(5,𝔽2)12yes—
1719C23C2×H(5,𝔽2)12yes—
1720C23C2611yescharacteristic
1721Q8—28no—
1722Q8—48no—
1723Q8—44no—
1724Q8—44no—
1725Q8—88no—
1726Q8—88no—
1727D4—216no—
1728D4—28no—
1729D4—44no—
1730D4—44no—
1731D4—44no—
1732D4—44no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—48no—
1737D4—48no—
1738D4—48no—
1739D4—44no—
1740D4—44no—
1741D4—88no—
1742D4—84no—
1743D4—84no—
1744D4—84no—
1745D4—84no—
1746D4—84no—
1747D4—84no—
1748D4—84no—
1749D4—164no—
1750C2×C4—28no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—216no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—24no—
1823C2×C4—22no—
1824C2×C4—48no—
1825C2×C4—48no—
1826C2×C4—44no—
1827C2×C4—48no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—48no—
1839C2×C4—48no—
1840C2×C4—84no—
1841C2×C4—84no—
1842C2×C4—84no—
1843C2×C4—84no—
1844C2×C4—84no—
1845C2×C4—84no—
1846C2×C4—164no—
1847C2×C4—164no—
1848C2×C4—164no—
1849C2×C4#538116yescomplemented
1850C2×C4C22×#4114yes—
1851C2×C4C22×#4112yes—
1852C2×C4C22×#4112yes—
1853C2×C4C2×H(5,𝔽2)12yes—
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×C4#58512yes—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—24no—
1867C22—22no—
1868C22—24no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—24no—
1874C22—41no—
1875C22—41no—
1876C22—42no—
1877C22—41no—
1878C22—42no—
1879C22—41no—
1880C22—42no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—42no—
1885C22—41no—
1886C22—42no—
1887C22—41no—
1888C22—42no—
1889C22—41no—
1890C22—41no—
1891C22—42no—
1892C22—42no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—42no—
1897C22—42no—
1898C22—41no—
1899C22—42no—
1900C22—41no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—41no—
1905C22—41no—
1906C22—42no—
1907C22—41no—
1908C22—41no—
1909C22—42no—
1910C22—41no—
1911C22—41no—
1912C22—42no—
1913C22—42no—
1914C22—88no—
1915C22—88no—
1916C22—816no—
1917C22C2×#53814yes—
1918C22C23×#4111yescharacteristic
1919C22C22×H(5,𝔽2)11yescharacteristic
1920C22C22×H(5,𝔽2)11yescharacteristic
1921C22C22×H(5,𝔽2)11yescharacteristic
1922C22C2×#58511yescharacteristic
1923C222−1+611yescharacteristic
1924C222−1+611yescharacteristic
1925C4—22no—
1926C4—22no—
1927C4—24no—
1928C4—44no—
1929C4—42no—
1930C4—42no—
1931C4—44no—
1932C4—44no—
1933C4—42no—
1934C4—41no—
1935C4—41no—
1936C4—42no—
1937C4—44no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—42no—
1946C4—42no—
1947C4—42no—
1948C4—42no—
1949C4—42no—
1950C4C2×#53814yes—
1951C4C2×#53814yes—
1952C2—24no—
1953C2—42no—
1954C2—44no—
1955C2—42no—
1956C2—82no—
1957C2—81no—
1958C2—81no—
1959C2—82no—
1960C2C22×#53811yescharacteristic
1961C2#6281811yescharacteristic
1962C2#6288611yescharacteristic
1963C2#6291411yescharacteristic
1964C2#6296011yescharacteristic
1965C2#6298511yescharacteristic
1966C2#6300911yescharacteristic
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. #42989C2semidirect
2. #42920C2semidirect
3. #42894C2semidirect
4. #42862C2semidirect
5. #42619C2semidirect
6. #42555C2semidirect
7. #42463C2semidirect
8. #42446C2semidirect
9. #40754C2semidirect
10. #40692C2semidirect
11. #40196C2semidirect
12. #40068C2semidirect
13. #39934C2semidirect
14. #39908C2semidirect
15. #39408C2semidirect
16. #39349C2semidirect
17. #39222C2semidirect
18. #39154C2semidirect
19. #38596C2semidirect
20. #37716C2semidirect
21. #35592C2semidirect
22. #35574C2semidirect
23. #35544C2semidirect
24. #35518C2semidirect
25. #35518C2semidirect
26. #35516C2semidirect
27. #35263C2semidirect
28. #35251C2semidirect
29. #35160C2semidirect
30. C2×#2547C2semidirect
31. #34737C2semidirect
32. #34736C2semidirect
33. #34274C2semidirect
34. #34202C2semidirect
35. #34175C2semidirect
40. C22×C4⋊Q8C22semidirect
45. C2×#525C22semidirect
48. C2×#520C22semidirect
50. C22×#117C22semidirect
51. #2855C22semidirect
52. #2854C22semidirect
53. #2852C22semidirect
54. #2848C22semidirect
55. #2847C22semidirect
56. #2831C22semidirect
57. #2829C22semidirect
58. #2827C22semidirect
59. #2825C22semidirect
60. #2806C22semidirect
61. #2800C22semidirect
62. #2797C22semidirect
63. #2797C22semidirect
64. #2788C22semidirect
65. #2787C22semidirect
66. #2786C22semidirect
67. #2779C22semidirect
68. #2778C22semidirect
69. #2764C22semidirect
70. #2759C22semidirect
71. #2751C22semidirect
72. #2751C22semidirect
73. #2750C22semidirect
74. #2749C22semidirect
75. #2745C22semidirect
76. #2735C22semidirect
77. #2733C22semidirect
78. #2730C22semidirect
79. #2730C22semidirect
81. #2715C22semidirect
82. #2710C22semidirect
83. #2708C22semidirect
84. #2702C22semidirect
85. #2697C22semidirect
86. #2695C22semidirect
87. #2688C22semidirect
90. #2676C22semidirect
92. #2665C22semidirect
93. #2662C22semidirect
94. #2653C22semidirect
95. #2653C22semidirect
96. #2652C22semidirect
97. #2651C22semidirect
98. #2648C22semidirect
99. #2648C22semidirect
100. #2643C22semidirect
101. #2643C22semidirect
102. #2631C22semidirect
103. #2630C22semidirect
104. #2625C22semidirect
105. #2624C22semidirect
106. #2622C22semidirect
107. #2616C22semidirect
108. #2615C22semidirect
109. #2595C22semidirect
110. #2591C22semidirect
111. #2589C22semidirect
112. #2586C22semidirect
113. #2579C22semidirect
114. #2578C22semidirect
116. #2555C22semidirect
121. #2547C22semidirect
122. #2547C22semidirect
123. #2547C22semidirect
124. #2547C22semidirect
125. #2538C22semidirect
126. #2538C22semidirect
127. #2537C22semidirect
128. #2537C22semidirect
129. #2536C22semidirect
130. #2536C22semidirect
131. #2535C22semidirect
132. #2535C22semidirect
133. #2514C22semidirect
134. #2513C22semidirect
135. #2512C22semidirect
136. #2511C22semidirect
137. #2498C22semidirect
138. #2497C22semidirect
139. #2497C22semidirect
140. #2497C22semidirect
141. #2496C22semidirect
142. #2496C22semidirect
143. #2496C22semidirect
144. #2495C22semidirect
145. #2495C22semidirect
146. #2495C22semidirect
147. #2494C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
150. #2493C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
155. #2491C22semidirect
156. #2491C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2487C22semidirect
160. #2487C22semidirect
161. #2486C22semidirect
162. #2486C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
165. #2485C22semidirect
166. #2485C22semidirect
168. #2480C22semidirect
170. #2459C22semidirect
171. #2459C22semidirect
172. #2452C22semidirect
173. #2452C22semidirect
174. #2451C22semidirect
175. #2451C22semidirect
176. #2450C22semidirect
177. #2444C22semidirect
178. #2440C22semidirect
179. #2440C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
182. #2436C22semidirect
184. #2425C22semidirect
185. #2425C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
188. #2423C22semidirect
189. #2422C22semidirect
190. #2421C22semidirect
191. #2420C22semidirect
192. #2419C22semidirect
195. #2417C22semidirect
196. #2417C22semidirect
197. #2417C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
203. #2415C22semidirect
204. #2415C22semidirect
205. #2415C22semidirect
207. #2414C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
210. #2413C22semidirect
211. #2412C22semidirect
212. #2412C22semidirect
218. #2409C22semidirect
219. #2409C22semidirect
222. #2408C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
234. #2392C22semidirect
236. C2×#397C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
247. #2359C22semidirect
248. #2358C22semidirect
249. #2354C22semidirect
250. #2352C22semidirect
251. #2352C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2341C22semidirect
254. Q8×C22⋊C4C22semidirect
256. #2339C22semidirect
258. D4×C22⋊C4C22semidirect
260. #2337C22semidirect
261. #2329C22semidirect
262. #2325C22semidirect
263. #2324C22semidirect
264. #2323C22semidirect
265. #2317C22semidirect
266. #2317C22semidirect
267. #2317C22semidirect
268. #2316C22semidirect
269. #2316C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. #2311C22semidirect
277. C4×C22⋊Q8C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
286. #2297C22semidirect
287. #2296C22semidirect
288. C2×#391C22semidirect
291. #2280C22semidirect
294. C2×#380C22semidirect
295. C2×#380C22semidirect
296. C2×#380C22semidirect
297. #2274C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1849. C2×C4#538semidirect

Maximal subgroups

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

subgroupindex
#429892
#429202
#428942
#428622
#426192
#425552
#424632
#424462
#407542
#406922
#401962
#400682
#399342
#399082
#394082
#393492
#392222
#391542
#385962
#377162
#355922
#355742
#355442
#355182
#355162
#352632
#352512
#351602
C2×#25472
#347372
#347362
#342742
#342022
#341752