Finite Group Databasebeta

← #7806311

Subgroups — #7806311

Order 512.

5712 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59945C212yesmaximal, complemented
2#59864C211yesmaximal, characteristic, complemented
3#59657C212yesmaximal, complemented
4#59650C212yesmaximal, complemented
5#59509C212yesmaximal, complemented
6#59476C212yesmaximal, complemented
7#59458C211yesmaximal, characteristic, complemented
8#59435C211yesmaximal, characteristic, complemented
9#59412C211yesmaximal, characteristic, complemented
10#59380C212yesmaximal, complemented
11#59314C211yesmaximal, characteristic, complemented
12#59304C211yesmaximal, characteristic, complemented
13#59273C212yesmaximal, complemented
14#59220C212yesmaximal, complemented
15#59041C211yesmaximal, characteristic, complemented
16#59039C211yesmaximal, characteristic, complemented
17#47378C214yesmaximal, complemented
18#46618C214yesmaximal, complemented
19#42606C212yesmaximal, complemented
20#42592C212yesmaximal, complemented
21#42548C212yesmaximal, complemented
22#42548C212yesmaximal, complemented
23#42364C214yesmaximal, complemented
24#37636C211yesmaximal, characteristic, complemented
25#35995C212yesmaximal, complemented
26#35990C214yesmaximal, complemented
27#35987C212yesmaximal, complemented
28#35836C212yesmaximal, complemented
29#35701C212yesmaximal, complemented
30#34974C211yesmaximal, characteristic, complemented
31#34970C211yesmaximal, characteristic, complemented
32#34941C211yesmaximal, characteristic, complemented
33#34313C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35#34207C211yesmaximal, characteristic, complemented
36C2×#554C2212yescomplemented
37C2×#554C2212yescomplemented
38C2×#553C2212yescomplemented
39C2×#551C2214yescomplemented
40C2×#550C2211yescharacteristic
41C2×#546C2212yes—
42C2×D42C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#520C2212yescomplemented
45C2×#520C2212yescomplemented
46C2×#518C2212yes—
47#2835C2214yescomplemented
48#2832C2214yescomplemented
49#2824C2214yescomplemented
50#2804C2214yescomplemented
51#2782C2214yescomplemented
52#2782C2214yescomplemented
53#2782C2214yescomplemented
54#2781C2214yescomplemented
55#2775C2214yescomplemented
56#2744C2214yescomplemented
57#2744C2214yescomplemented
58#2737C2214yescomplemented
59#2723C2214yescomplemented
60#2723C2214yescomplemented
61#2720C2214yescomplemented
62#2718C2214yescomplemented
63#2711C2214yescomplemented
64#2706C2214yescomplemented
65#2696C2214yescomplemented
66#2696C2214yescomplemented
67#2692C2214yescomplemented
68#2686C2214yescomplemented
69#2685C2214yescomplemented
70#2684C2214yes—
71#2684C2214yescomplemented
72#2678C2214yes—
73#2676C2214yescomplemented
74#2636C2214yescomplemented
75#2636C2214yescomplemented
76#2633C2214yescomplemented
77#2632C2214yescomplemented
78#2628C2212yescomplemented
79#2628C2212yescomplemented
80#2626C2214yescomplemented
81#2624C2212yes—
82#2624C2212yescomplemented
83#2623C2214yescomplemented
84#2623C2214yescomplemented
85#2611C2214yescomplemented
86#2604C2214yescomplemented
87#2603C2214yescomplemented
88#2598C2214yescomplemented
89#2598C2214yescomplemented
90#2598C2214yescomplemented
91#2580C2212yes—
92#2580C2212yescomplemented
93#2580C2214yescomplemented
94#2580C2212yescomplemented
95#2574C2214yescomplemented
96#2572C2214yescomplemented
97#2571C2212yescomplemented
98#2571C2212yescomplemented
99#2567C2211yescharacteristic, complemented
100#2564C2214yescomplemented
101#2563C2211yescharacteristic
102#2563C2211yescharacteristic
103#2563C2211yescharacteristic, complemented
104#2563C2212yescomplemented
105#2560C2214yescomplemented
106#2558C2214yescomplemented
107#2552C2211yescharacteristic, complemented
108#2551C2211yescharacteristic, complemented
109#2542C2212yes—
110#2542C2212yescomplemented
111#2540C2214yescomplemented
112#2538C2211yescharacteristic
113#2537C2211yescharacteristic
114#2537C2212yescomplemented
115#2535C2212yes—
116#2535C2212yes—
117#2535C2212yes—
118#2535C2214yescomplemented
119#2532C2212yescomplemented
120#2531C2212yescomplemented
121#2529C2212yescomplemented
122#2526C2212yescomplemented
123#2513C2211yescharacteristic, complemented
124#2512C2212yes—
125#2512C2211yescharacteristic
126#2508C2211yescharacteristic, complemented
127#2508C2212yescomplemented
128#2507C2211yescharacteristic, complemented
129#2506C2212yescomplemented
130#2501C2212yes—
131#2498C2214yescomplemented
132#2497C2211yescharacteristic, complemented
133#2497C2212yescomplemented
134#2496C2212yescomplemented
135#2496C2212yescomplemented
136#2495C2212yescomplemented
137#2495C2212yescomplemented
138#2495C2212yescomplemented
139#2495C2211yescharacteristic, complemented
140#2495C2214yescomplemented
141#2491C2212yes—
142#2491C2211yescharacteristic
143#2491C2212yescomplemented
144#2490C2211yescharacteristic, complemented
145#2487C2212yescomplemented
146#2487C2214yescomplemented
147#2487C2212yescomplemented
148#2487C2212yescomplemented
149#2487C2212yescomplemented
150#2482C2214yescomplemented
151#2482C2214yescomplemented
152#2479C2214yescomplemented
153#2479C2212yescomplemented
154#2476C2212yescomplemented
155#2474C2212yescomplemented
156#2472C2214yescomplemented
157#2471C2214yescomplemented
158#2471C2212yescomplemented
159#2463C2214yescomplemented
160#2463C2214yescomplemented
161#2461C2214yescomplemented
162#2454C2212yes—
163#2454C2211yescharacteristic
164#2454C2212yescomplemented
165#2452C2212yescomplemented
166#2452C2212yescomplemented
167#2452C2212yescomplemented
168#2451C2211yescharacteristic, complemented
169#2449C2214yescomplemented
170#2449C2214yescomplemented
171#2449C2214yescomplemented
172#2449C2214yescomplemented
173#2449C2214yescomplemented
174#2448C2212yes—
175#2448C2211yescharacteristic
176#2445C2211yescharacteristic
177#2445C2212yescomplemented
178#2443C2214yescomplemented
179#2443C2214yescomplemented
180#2443C2214yescomplemented
181#2441C2212yescomplemented
182#2441C2212yescomplemented
183#2440C2212yescomplemented
184#2440C2212yescomplemented
185#2437C2214yescomplemented
186#2437C2214yescomplemented
187#2433C2212yes—
188#2430C2214yescomplemented
189#2428C2212yes—
190#2428C2211yescharacteristic
191#2428C2212yescomplemented
192#2426C2211yescharacteristic
193#2424C2214yes—
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2423C2211yescharacteristic, complemented
197#2423C2212yescomplemented
198#2423C2212yescomplemented
199#2422C2212yes—
200#2422C2212yescomplemented
201#2422C2212yescomplemented
202#2420C2211yescharacteristic
203#2420C2212yes—
204#2420C2212yes—
205#2420C2212yescomplemented
206#2418C2214yescomplemented
207#2418C2214yescomplemented
208#2418C2214yescomplemented
209#2416C2212yes—
210#2408C2212yes—
211#2408C2212yes—
212#2408C2212yes—
213#2407C2212yes—
214#2407C2212yescomplemented
215#2404C2214yes—
216#2397C2214yescomplemented
217#2396C2212yescomplemented
218#2396C2214yescomplemented
219#2395C2212yescomplemented
220#2395C2212yescomplemented
221C2×#399C2214yescomplemented
222#2392C2212yescomplemented
223#2366C2211yescharacteristic
224#2366C2211yescharacteristic
225#2366C2212yes—
226#2366C2212yescomplemented
227#2363C2212yes—
228#2361C2212yes—
229#2361C2212yes—
230#2361C2212yescomplemented
231#2361C2212yescomplemented
232#2361C2214yescomplemented
233#2361C2212yescomplemented
234#2361C2214yescomplemented
235#2361C2212yescomplemented
236#2361C2212yescomplemented
237#2358C2214yes—
238#2358C2214yescomplemented
239#2356C2212yescomplemented
240#2354C2211yescharacteristic
241#2354C2212yescomplemented
242#2354C2212yescomplemented
243Q8×C4⋊C4C2211yescharacteristic, complemented
244#2349C2212yescomplemented
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yescomplemented
247D4×C4⋊C4C2211yescharacteristic, complemented
248D4×C4⋊C4C2212yescomplemented
249D4×C4⋊C4C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251D4×C4⋊C4C2212yescomplemented
252D4×C4⋊C4C2212yescomplemented
253#2346C2212yescomplemented
254#2343C2214yescomplemented
255#2341C2212yescomplemented
256#2339C2212yescomplemented
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259D4×C22⋊C4C2212yes—
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262#2326C2212yescomplemented
263#2326C2212yescomplemented
264#2324C2212yes—
265#2324C2214yescomplemented
266#2324C2212yescomplemented
267#2321C2214yes—
268#2311C2212yescomplemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×C4⋊Q8C2211yescharacteristic, complemented
271C4×C4⋊Q8C2211yescharacteristic, complemented
272C4×#127C2211yescharacteristic
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2212yescomplemented
276C4×#125C2212yescomplemented
277C4×#125C2211yescharacteristic, complemented
278C4×#126C2212yescomplemented
279C4×#124C2211yescharacteristic
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2293C2211yescharacteristic, complemented
292#2293C2212yescomplemented
293C2×#390C2212yes—
294#2285C2212yescomplemented
295C2×#384C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#554—48no—
304#554—48no—
305#553—48no—
306#551—416no—
307#550—28no—
308#546—48no—
309D42—28no—
310#532—28no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361#520—48no—
362#520—48no—
363#518—48no—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×#117C2314yes—
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2314yes—
412C2×#117C2312yes—
413C2×#117C2314yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2314yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2314yes—
420C22×C4⋊C4C2314yes—
421C22×C4⋊C4C2312yes—
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2314yes—
427C22×C42C2311yescharacteristic
428C22×C42C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2312yes—
452#399C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2312yes—
465#397C2314yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2312yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#395C2312yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2312yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2312yes—
532#392C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2314yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2312yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#383C2312yes—
728#383C2314yes—
729#383C2314yes—
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2312yes—
734#382C2314yes—
735#382C2311yescharacteristic
736#382C2314yes—
737#382C2314yes—
738#382C2312yes—
739#381C2312yes—
740#381C2314yes—
741#381C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2311yescharacteristic
815#376C2311yescharacteristic
816#376C2314yes—
817C2×#95C2314yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C4⋊Q8—24no—
873C4⋊Q8—42no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876#127—28no—
877#127—24no—
878#127#4118yes—
879#126—28no—
880#126—48no—
881#126—48no—
882#125—28no—
883#125—24no—
884#125—48no—
885#124—24no—
886#124—28no—
887#124—48no—
888#124—44no—
889#123—28no—
890#123—48no—
891#123—48no—
892#123—48no—
893#123—48no—
894C22⋊Q8—28no—
895C22⋊Q8—24no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903#121—28no—
904#121—28no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—216no—
909#121—24no—
910#121—24no—
911#121—48no—
912#121—48no—
913#121—44no—
914#121—48no—
915#121—42no—
916#121—44no—
917#121—44no—
918#120—216no—
919#120—48no—
920#120—48no—
921#120—48no—
922C4×Q8—24no—
923C4×Q8—28no—
924C4×Q8—24no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—42no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943C4×D4—48no—
944C4×D4—48no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—48no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—48no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964#117—28no—
965#117—24no—
966#117—216no—
967#117—44no—
968#117—48no—
969#117—44no—
970#117—48no—
971#117—42no—
972C2×C4⋊C4—48no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—48no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—48no—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C22⋊C4—48no—
1045C2×C22⋊C4—48no—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4—48no—
1048C2×C22⋊C4—48no—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C42—24no—
1119C2×C42—44no—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211C24—28no—
1212C24—28no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24—44no—
1218C24C2512yes—
1219C24C2512yes—
1220C24C2514yes—
1221C24C2512yes—
1222C24C2511yescharacteristic
1223#41—432no—
1224#41—432no—
1225C2×Q8—22no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×Q8—44no—
1236C2×Q8H(5,𝔽2)14yes—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—28no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—432no—
1285C2×D4—816no—
1286C2×D4C2×#4118yes—
1287C2×D4C2×#4118yes—
1288C2×D4C2×#4118yes—
1289C2×D42−1+414yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—28no—
1303C22×C4—28no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—28no—
1316C22×C4—42no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2512yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2514yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2514yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—28no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4H(5,𝔽2)14yes—
1434C4⋊C4H(5,𝔽2)14yes—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—24no—
1508C42—28no—
1509C42—28no—
1510C42—22no—
1511C42—22no—
1512C42—28no—
1513C42—22no—
1514C42—24no—
1515C42—22no—
1516C42—24no—
1517C42—24no—
1518C42—28no—
1519C42—24no—
1520C42—22no—
1521C42—24no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—24no—
1527C42—22no—
1528C42—42no—
1529C42—42no—
1530C42—41no—
1531C42—41no—
1532C42—42no—
1533C42—42no—
1534C42C2×#4114yes—
1535C23—22no—
1536C23—21no—
1537C23—21no—
1538C23—22no—
1539C23—24no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23—24no—
1545C23—21no—
1546C23—21no—
1547C23—24no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—24no—
1552C23—24no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—416no—
1568C23—88no—
1569C23—88no—
1570C23—88no—
1571C23—88no—
1572C23—164no—
1573C23—164no—
1574C23C22×#4118yes—
1575C23C2×2−1+414yes—
1576C23#58512yes—
1577C23C2611yescharacteristic
1578Q8—28no—
1579Q8—48no—
1580Q8—84no—
1581Q8—164no—
1582D4—216no—
1583D4—28no—
1584D4—216no—
1585D4—48no—
1586D4—48no—
1587D4—48no—
1588D4—416no—
1589D4—48no—
1590D4—416no—
1591D4—416no—
1592D4—44no—
1593D4—44no—
1594D4—84no—
1595D4—84no—
1596D4—88no—
1597D4—88no—
1598D4—164no—
1599C2×C4—28no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—48no—
1679C2×C4—416no—
1680C2×C4—416no—
1681C2×C4—44no—
1682C2×C4—48no—
1683C2×C4—48no—
1684C2×C4—44no—
1685C2×C4—48no—
1686C2×C4—84no—
1687C2×C4—88no—
1688C2×C4—164no—
1689C2×C4—164no—
1690C2×C4—164no—
1691C2×C4—164no—
1692C2×C4—164no—
1693C2×C4—164no—
1694C2×C4C22×#4112yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)14yes—
1700C2×C4C2×H(5,𝔽2)14yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4C2×2−1+412yes—
1705C2×C4#58512yes—
1706C22—24no—
1707C22—22no—
1708C22—24no—
1709C22—22no—
1710C22—28no—
1711C22—24no—
1712C22—28no—
1713C22—22no—
1714C22—28no—
1715C22—41no—
1716C22—44no—
1717C22—44no—
1718C22—44no—
1719C22—42no—
1720C22—41no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—41no—
1725C22—44no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—1616no—
1742C22C23×#4111yescharacteristic
1743C22C22×H(5,𝔽2)11yescharacteristic
1744C22C22×H(5,𝔽2)11yescharacteristic
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×2−1+411yescharacteristic
1747C22C2×#58511yescharacteristic
1748C22C2×#58511yescharacteristic
1749C4—22no—
1750C4—22no—
1751C4—24no—
1752C4—24no—
1753C4—22no—
1754C4—22no—
1755C4—42no—
1756C4—41no—
1757C4—42no—
1758C4—41no—
1759C4—41no—
1760C4—42no—
1761C4—42no—
1762C4—41no—
1763C4—41no—
1764C4—42no—
1765C4—42no—
1766C4—41no—
1767C4—42no—
1768C4—44no—
1769C4—42no—
1770C4—41no—
1771C4—41no—
1772C4—44no—
1773C4—42no—
1774C4—44no—
1775C4—42no—
1776C4—42no—
1777C4#351314yes—
1778C4#352014yes—
1779C2—42no—
1780C2—48no—
1781C2—44no—
1782C2—82no—
1783C2—82no—
1784C2C2×#351311yescharacteristic
1785C2C2×#352011yescharacteristic
1786C2#6277311yescharacteristic
1787C2#6301311yescharacteristic
1788C2#6301511yescharacteristic
1789C2#6301811yescharacteristic
1790C2#6304011yescharacteristic
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. #59945C2semidirect
2. #59864C2semidirect
3. #59657C2semidirect
4. #59650C2semidirect
5. #59509C2semidirect
6. #59476C2semidirect
7. #59458C2semidirect
8. #59435C2semidirect
9. #59412C2semidirect
10. #59380C2semidirect
11. #59314C2semidirect
12. #59304C2semidirect
13. #59273C2semidirect
14. #59220C2semidirect
15. #59041C2semidirect
16. #59039C2semidirect
17. #47378C2semidirect
18. #46618C2semidirect
19. #42606C2semidirect
20. #42592C2semidirect
21. #42548C2semidirect
22. #42548C2semidirect
23. #42364C2semidirect
24. #37636C2semidirect
25. #35995C2semidirect
26. #35990C2semidirect
27. #35987C2semidirect
28. #35836C2semidirect
29. #35701C2semidirect
30. #34974C2semidirect
31. #34970C2semidirect
32. #34941C2semidirect
33. #34313C2semidirect
34. #34310C2semidirect
35. #34207C2semidirect
36. C2×#554C22semidirect
37. C2×#554C22semidirect
38. C2×#553C22semidirect
39. C2×#551C22semidirect
44. C2×#520C22semidirect
45. C2×#520C22semidirect
47. #2835C22semidirect
48. #2832C22semidirect
49. #2824C22semidirect
50. #2804C22semidirect
51. #2782C22semidirect
52. #2782C22semidirect
53. #2782C22semidirect
54. #2781C22semidirect
55. #2775C22semidirect
56. #2744C22semidirect
57. #2744C22semidirect
58. #2737C22semidirect
59. #2723C22semidirect
60. #2723C22semidirect
61. #2720C22semidirect
62. #2718C22semidirect
63. #2711C22semidirect
64. #2706C22semidirect
65. #2696C22semidirect
66. #2696C22semidirect
67. #2692C22semidirect
68. #2686C22semidirect
69. #2685C22semidirect
71. #2684C22semidirect
73. #2676C22semidirect
74. #2636C22semidirect
75. #2636C22semidirect
76. #2633C22semidirect
77. #2632C22semidirect
78. #2628C22semidirect
79. #2628C22semidirect
80. #2626C22semidirect
82. #2624C22semidirect
83. #2623C22semidirect
84. #2623C22semidirect
85. #2611C22semidirect
86. #2604C22semidirect
87. #2603C22semidirect
88. #2598C22semidirect
89. #2598C22semidirect
90. #2598C22semidirect
92. #2580C22semidirect
93. #2580C22semidirect
94. #2580C22semidirect
95. #2574C22semidirect
96. #2572C22semidirect
97. #2571C22semidirect
98. #2571C22semidirect
99. #2567C22semidirect
100. #2564C22semidirect
103. #2563C22semidirect
104. #2563C22semidirect
105. #2560C22semidirect
106. #2558C22semidirect
107. #2552C22semidirect
108. #2551C22semidirect
110. #2542C22semidirect
111. #2540C22semidirect
114. #2537C22semidirect
118. #2535C22semidirect
119. #2532C22semidirect
120. #2531C22semidirect
121. #2529C22semidirect
122. #2526C22semidirect
123. #2513C22semidirect
126. #2508C22semidirect
127. #2508C22semidirect
128. #2507C22semidirect
129. #2506C22semidirect
131. #2498C22semidirect
132. #2497C22semidirect
133. #2497C22semidirect
134. #2496C22semidirect
135. #2496C22semidirect
136. #2495C22semidirect
137. #2495C22semidirect
138. #2495C22semidirect
139. #2495C22semidirect
140. #2495C22semidirect
143. #2491C22semidirect
144. #2490C22semidirect
145. #2487C22semidirect
146. #2487C22semidirect
147. #2487C22semidirect
148. #2487C22semidirect
149. #2487C22semidirect
150. #2482C22semidirect
151. #2482C22semidirect
152. #2479C22semidirect
153. #2479C22semidirect
154. #2476C22semidirect
155. #2474C22semidirect
156. #2472C22semidirect
157. #2471C22semidirect
158. #2471C22semidirect
159. #2463C22semidirect
160. #2463C22semidirect
161. #2461C22semidirect
164. #2454C22semidirect
165. #2452C22semidirect
166. #2452C22semidirect
167. #2452C22semidirect
168. #2451C22semidirect
169. #2449C22semidirect
170. #2449C22semidirect
171. #2449C22semidirect
172. #2449C22semidirect
173. #2449C22semidirect
177. #2445C22semidirect
178. #2443C22semidirect
179. #2443C22semidirect
180. #2443C22semidirect
181. #2441C22semidirect
182. #2441C22semidirect
183. #2440C22semidirect
184. #2440C22semidirect
185. #2437C22semidirect
186. #2437C22semidirect
188. #2430C22semidirect
191. #2428C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2423C22semidirect
197. #2423C22semidirect
198. #2423C22semidirect
200. #2422C22semidirect
201. #2422C22semidirect
205. #2420C22semidirect
206. #2418C22semidirect
207. #2418C22semidirect
208. #2418C22semidirect
214. #2407C22semidirect
216. #2397C22semidirect
217. #2396C22semidirect
218. #2396C22semidirect
219. #2395C22semidirect
220. #2395C22semidirect
221. C2×#399C22semidirect
222. #2392C22semidirect
226. #2366C22semidirect
230. #2361C22semidirect
231. #2361C22semidirect
232. #2361C22semidirect
233. #2361C22semidirect
234. #2361C22semidirect
235. #2361C22semidirect
236. #2361C22semidirect
238. #2358C22semidirect
239. #2356C22semidirect
241. #2354C22semidirect
242. #2354C22semidirect
243. Q8×C4⋊C4C22semidirect
244. #2349C22semidirect
246. D4×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. D4×C4⋊C4C22semidirect
249. D4×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2346C22semidirect
254. #2343C22semidirect
255. #2341C22semidirect
256. #2339C22semidirect
262. #2326C22semidirect
263. #2326C22semidirect
265. #2324C22semidirect
266. #2324C22semidirect
268. #2311C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×C4⋊Q8C22semidirect
271. C4×C4⋊Q8C22semidirect
275. C4×#127C22semidirect
276. C4×#125C22semidirect
277. C4×#125C22semidirect
278. C4×#126C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
294. #2285C22semidirect
295. C2×#384C22semidirect
296. C42×Q8C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#599452
#598642
#596572
#596502
#595092
#594762
#594582
#594352
#594122
#593802
#593142
#593042
#592732
#592202
#590412
#590392
#473782
#466182
#426062
#425922
#425482
#423642
#376362
#359952
#359902
#359872
#358362
#357012
#349742
#349702
#349412
#343132
#343102
#342072