Finite Group Databasebeta

← #8429568

Subgroups — #8429568

Order 512.

5980 conjugacy classes of subgroups.

The subgroup lattice has 1925 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59808C212yesmaximal, complemented
3#59412C212yesmaximal, complemented
4#59126C211yesmaximal, characteristic, complemented
5#59056C211yesmaximal, characteristic, complemented
6#56609C214yesmaximal, complemented
7#53907C214yesmaximal, complemented
8#53103C212yesmaximal, complemented
9#53102C212yesmaximal, complemented
10#53102C212yesmaximal, complemented
11#53076C212yesmaximal, complemented
12#52405C214yesmaximal, complemented
13#42483C212yesmaximal, complemented
14#42480C212yesmaximal, complemented
15#42476C212yesmaximal, complemented
16#42474C212yesmaximal, complemented
17#40597C214yesmaximal, complemented
18#39066C212yesmaximal, complemented
19#39059C212yesmaximal, complemented
20#39030C212yesmaximal, complemented
21#39024C212yesmaximal, complemented
22#38985C211yesmaximal, characteristic, complemented
23#38953C211yesmaximal, characteristic, complemented
24#38932C211yesmaximal, characteristic, complemented
25#38922C211yesmaximal, characteristic, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37614C211yesmaximal, characteristic, complemented
28#37587C212yesmaximal, complemented
29#37493C212yesmaximal, complemented
30#36472C211yesmaximal, characteristic, complemented
31#36258C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic, complemented
37C2×#553C2212yescomplemented
38C2×#550C2212yescomplemented
39C2×#547C2212yescomplemented
40C2×#546C2214yescomplemented
41C2×#546C2212yescomplemented
42C2×#546C2212yescomplemented
43C2×D42C2212yes—
44C2×D42C2211yescharacteristic
45C2×D42C2212yes—
46C2×#532C2211yescharacteristic, complemented
47C22×#127C2211yescharacteristic
48C2×#529C2211yescharacteristic, complemented
49C2×C4×#41C2211yescharacteristic, complemented
50#2860C2212yescomplemented
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2854C2212yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2818C2214yescomplemented
62#2818C2214yescomplemented
63#2815C2214yescomplemented
64#2813C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2812C2214yescomplemented
68#2812C2214yescomplemented
69#2779C2214yescomplemented
70#2779C2214yescomplemented
71#2764C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2752C2214yescomplemented
75#2735C2214yescomplemented
76#2733C2214yescomplemented
77#2715C2214yescomplemented
78#2715C2214yescomplemented
79#2705C2214yescomplemented
80#2703C2214yescomplemented
81#2703C2214yescomplemented
82#2702C2214yescomplemented
83#2701C2214yescomplemented
84#2700C2214yescomplemented
85#2697C2214yescomplemented
86#2687C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2682C2214yescomplemented
92#2682C2214yescomplemented
93#2681C2214yescomplemented
94#2681C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2672C2214yescomplemented
100#2670C2214yescomplemented
101#2670C2214yescomplemented
102#2669C2214yes—
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2661C2214yescomplemented
107#2657C2212yescomplemented
108#2648C2214yescomplemented
109#2648C2214yescomplemented
110#2647C2212yescomplemented
111#2644C2212yescomplemented
112#2644C2212yescomplemented
113#2641C2212yescomplemented
114#2641C2212yescomplemented
115#2635C2214yescomplemented
116#2630C2214yescomplemented
117#2630C2214yescomplemented
118#2624C2212yescomplemented
119#2624C2212yescomplemented
120#2622C2214yescomplemented
121#2620C2212yescomplemented
122#2619C2212yescomplemented
123#2619C2212yescomplemented
124#2619C2212yescomplemented
125#2617C2214yescomplemented
126#2615C2214yescomplemented
127#2613C2214yescomplemented
128#2613C2214yescomplemented
129#2610C2214yescomplemented
130#2603C2214yescomplemented
131#2602C2214yescomplemented
132#2592C2212yescomplemented
133#2567C2211yescharacteristic, complemented
134#2563C2211yescharacteristic, complemented
135#2562C2212yescomplemented
136#2552C2211yescharacteristic, complemented
137#2548C2211yescharacteristic
138#2548C2211yescharacteristic, complemented
139#2544C2212yescomplemented
140#2541C2211yescharacteristic
141#2541C2211yescharacteristic
142#2541C2211yescharacteristic
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2541C2211yescharacteristic, complemented
146#2538C2211yescharacteristic, complemented
147#2538C2212yescomplemented
148#2538C2212yescomplemented
149#2537C2212yescomplemented
150#2537C2212yescomplemented
151#2535C2214yescomplemented
152#2534C2214yescomplemented
153#2532C2212yescomplemented
154#2526C2212yescomplemented
155#2518C2214yescomplemented
156#2518C2212yescomplemented
157#2513C2211yescharacteristic, complemented
158#2512C2212yescomplemented
159#2512C2212yescomplemented
160#2508C2211yescharacteristic, complemented
161#2500C2212yescomplemented
162#2500C2212yescomplemented
163#2500C2211yescharacteristic, complemented
164#2497C2211yescharacteristic, complemented
165#2495C2212yescomplemented
166#2495C2212yescomplemented
167#2491C2211yescharacteristic
168#2490C2212yescomplemented
169#2486C2212yescomplemented
170#2485C2212yescomplemented
171#2485C2211yescharacteristic, complemented
172#2479C2212yescomplemented
173#2472C2214yescomplemented
174#2471C2212yescomplemented
175#2467C2214yescomplemented
176#2467C2212yescomplemented
177#2464C2214yescomplemented
178#2464C2214yescomplemented
179#2459C2212yescomplemented
180#2457C2214yescomplemented
181#2456C2212yescomplemented
182#2454C2212yescomplemented
183#2454C2211yescharacteristic, complemented
184#2452C2212yescomplemented
185#2448C2211yescharacteristic, complemented
186#2447C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2212yescomplemented
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2442C2212yescomplemented
193#2441C2212yescomplemented
194#2441C2211yescharacteristic, complemented
195#2439C2211yescharacteristic, complemented
196#2435C2212yescomplemented
197#2435C2212yescomplemented
198#2433C2212yes—
199#2433C2212yes—
200#2433C2212yescomplemented
201#2433C2212yescomplemented
202#2431C2212yescomplemented
203#2431C2214yescomplemented
204#2431C2212yescomplemented
205#2431C2211yescharacteristic, complemented
206#2428C2211yescharacteristic
207#2428C2212yes—
208#2428C2212yes—
209#2428C2212yescomplemented
210#2428C2212yescomplemented
211#2428C2212yescomplemented
212#2428C2212yescomplemented
213#2428C2212yescomplemented
214#2427C2212yescomplemented
215#2427C2212yescomplemented
216#2426C2212yescomplemented
217#2424C2214yescomplemented
218#2424C2214yescomplemented
219#2424C2214yescomplemented
220#2423C2211yescharacteristic, complemented
221#2422C2212yes—
222#2422C2212yescomplemented
223#2422C2212yescomplemented
224#2418C2214yescomplemented
225#2416C2212yes—
226#2416C2212yescomplemented
227#2416C2212yescomplemented
228#2416C2212yescomplemented
229#2415C2212yescomplemented
230#2414C2211yescharacteristic
231#2414C2212yescomplemented
232#2414C2212yescomplemented
233#2414C2212yescomplemented
234#2414C2212yescomplemented
235#2414C2211yescharacteristic, complemented
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2411C2214yescomplemented
241#2408C2212yes—
242#2408C2212yes—
243#2408C2214yescomplemented
244#2408C2212yescomplemented
245#2408C2212yescomplemented
246#2408C2212yescomplemented
247#2408C2212yescomplemented
248#2408C2212yescomplemented
249#2408C2212yescomplemented
250#2408C2212yescomplemented
251#2407C2211yescharacteristic
252#2407C2214yescomplemented
253#2407C2214yescomplemented
254#2405C2214yescomplemented
255#2404C2214yescomplemented
256#2403C2214yes—
257#2398C2212yescomplemented
258#2397C2212yescomplemented
259#2392C2212yescomplemented
260#2392C2212yescomplemented
261#2388C2214yescomplemented
262#2369C2211yescharacteristic, complemented
263#2366C2211yescharacteristic
264#2363C2212yescomplemented
265#2363C2212yescomplemented
266#2361C2212yescomplemented
267D4×C4⋊C4C2211yescharacteristic, complemented
268D4×C4⋊C4C2211yescharacteristic, complemented
269D4×C22⋊C4C2212yescomplemented
270D4×C22⋊C4C2212yescomplemented
271D4×C22⋊C4C2212yescomplemented
272#2319C2212yescomplemented
273#2319C2212yescomplemented
274#2316C2212yescomplemented
275#2312C2214yescomplemented
276#2309C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2212yescomplemented
279C4×#127C2212yescomplemented
280C4×#127C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic, complemented
282C4×#124C2212yescomplemented
283C4×#124C2212yescomplemented
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291#2298C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2293C2211yescharacteristic, complemented
294C2×#390C2212yescomplemented
295#2290C2212yescomplemented
296#2283C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2314yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308#555—44no—
309#553—48no—
310#550—48no—
311#547—48no—
312#546—48no—
313#546—416no—
314#546—48no—
315D42—44no—
316D42—48no—
317D42—48no—
318#532—44no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127—44no—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2314yes—
333#529—44no—
334C2×#126C2312yes—
335C2×#126C2314yes—
336C2×#126C2314yes—
337C2×#125C2312yes—
338C2×#125C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2311yescharacteristic
345C2×#124C2314yes—
346C2×#124C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2311yescharacteristic
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2311yescharacteristic
392C2×#121C2311yescharacteristic
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C4×#41—44no—
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×C4×D4C2312yes—
437C2×C4×D4C2314yes—
438C2×#117C2311yescharacteristic
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2311yescharacteristic
445C2×#117C2311yescharacteristic
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C22⋊C4C2314yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2312yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2312yes—
458#400C2312yes—
459#399C2312yes—
460#399C2312yes—
461#399C2314yes—
462#399C2314yes—
463#399C2312yes—
464#399C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2312yes—
494#396C2312yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#395C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2312yes—
541#394C2312yes—
542#394C2312yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2312yes—
553#393C2312yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2312yes—
575#392C2312yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2312yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2312yes—
584#392C2312yes—
585#392C2312yes—
586#392C2314yes—
587#392C2314yes—
588#391C2312yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2311yescharacteristic
593#391C2314yes—
594#391C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2311yescharacteristic
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2311yescharacteristic
640#390C2312yes—
641#390C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2312yes—
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2312yes—
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#387C2314yes—
709#387C2312yes—
710#387C2312yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#384C2312yes—
748#384C2311yescharacteristic
749#384C2312yes—
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#383C2312yes—
753#383C2314yes—
754#382C2312yes—
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#382C2312yes—
758#381C2314yes—
759#381C2314yes—
760#381C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2312yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819#376C2312yes—
820#376C2312yes—
821#376C2312yes—
822C43C2311yescharacteristic
823C43C2312yes—
824C25C2414yes—
825C25C2414yes—
826C2×#41—24no—
827C2×#41—44no—
828C2×#41—48no—
829C2×#41—42no—
830C2×#41—42no—
831C2×#41—44no—
832C2×#41—48no—
833C2×#41—48no—
834C2×#41—82no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×D4—28no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—48no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—48no—
854C22×D4—48no—
855C22×D4—82no—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2411yescharacteristic
867C22×D4C2411yescharacteristic
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C4⋊Q8—24no—
907C4⋊Q8—24no—
908#127—28no—
909#127—24no—
910#127—24no—
911#127—24no—
912#127—44no—
913#127—44no—
914#127—44no—
915#127—44no—
916#127—44no—
917#127—44no—
918#127—84no—
919#126—44no—
920#126—48no—
921#126—84no—
922#125—42no—
923#125—44no—
924#124—28no—
925#124—44no—
926#124—44no—
927#124—42no—
928#124—44no—
929#124—44no—
930#124—48no—
931#124—82no—
932#123—48no—
933#123—44no—
934#123—48no—
935#123—48no—
936#123—48no—
937#123—48no—
938#123—48no—
939#123—48no—
940C22⋊Q8—44no—
941C22⋊Q8—48no—
942C22⋊Q8—48no—
943C22⋊Q8—42no—
944C22⋊Q8—44no—
945#121—24no—
946#121—24no—
947#121—28no—
948#121—28no—
949#121—48no—
950#121—44no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—44no—
959#121—44no—
960#121—42no—
961#121—44no—
962#121—44no—
963#121—42no—
964#121—42no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—48no—
977#121—48no—
978#120—48no—
979#120—48no—
980#120—48no—
981#120—48no—
982#120—48no—
983#120—48no—
984#120—48no—
985#120—48no—
986#120—48no—
987#120—84no—
988#120—84no—
989#120—84no—
990C4×Q8—24no—
991C4×Q8—44no—
992C4×Q8—42no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—48no—
1000C4×D4—42no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—44no—
1016C4×D4—48no—
1017C4×D4—44no—
1018C4×D4—48no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—84no—
1022#117—24no—
1023#117—44no—
1024#117—44no—
1025#117—44no—
1026#117—42no—
1027#117—42no—
1028#117—44no—
1029#117—44no—
1030C2×C4⋊C4—28no—
1031C2×C4⋊C4—44no—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C22⋊C4—216no—
1083C2×C22⋊C4—48no—
1084C2×C22⋊C4—48no—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2411yescharacteristic
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2411yescharacteristic
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C42—24no—
1170C2×C42—24no—
1171C2×C42—44no—
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246C24—28no—
1247C24—28no—
1248C24—44no—
1249C24—44no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24—44no—
1254C24—44no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24C2514yes—
1261C24C2512yes—
1262C24C2514yes—
1263C24C2511yescharacteristic
1264C24C2512yes—
1265C24C2511yescharacteristic
1266C24C2512yes—
1267#41—416no—
1268#41—816no—
1269#41—832no—
1270C2×Q8—22no—
1271C2×Q8—24no—
1272C2×Q8—22no—
1273C2×Q8—24no—
1274C2×Q8—24no—
1275C2×Q8—22no—
1276C2×Q8—42no—
1277C2×Q8—42no—
1278C2×Q8—42no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—28no—
1288C2×D4—28no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—28no—
1303C2×D4—22no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—42no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—42no—
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—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—816no—
1381C2×D4—816no—
1382C2×D4—816no—
1383C2×D4—816no—
1384C2×D4—816no—
1385C2×D4—832no—
1386C2×D4H(5,𝔽2)14yes—
1387C22×C4—24no—
1388C22×C4—22no—
1389C22×C4—28no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—28no—
1415C22×C4—28no—
1416C22×C4—24no—
1417C22×C4—28no—
1418C22×C4—28no—
1419C22×C4—42no—
1420C22×C4—41no—
1421C22×C4—42no—
1422C22×C4—41no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—42no—
1434C22×C4—44no—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2514yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2514yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—22no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—42no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4H(5,𝔽2)14yes—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—28no—
1523C22⋊C4—24no—
1524C22⋊C4—22no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4H(5,𝔽2)14yes—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—24no—
1604C42—24no—
1605C42—22no—
1606C42—24no—
1607C42—24no—
1608C42—24no—
1609C42—22no—
1610C42—24no—
1611C42—22no—
1612C42—22no—
1613C42—24no—
1614C42—22no—
1615C42—42no—
1616C42—42no—
1617C42—42no—
1618C42—44no—
1619C42—42no—
1620C42—41no—
1621C42—44no—
1622C42H(5,𝔽2)14yes—
1623C23—22no—
1624C23—21no—
1625C23—22no—
1626C23—22no—
1627C23—21no—
1628C23—21no—
1629C23—22no—
1630C23—21no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—21no—
1635C23—21no—
1636C23—24no—
1637C23—22no—
1638C23—22no—
1639C23—24no—
1640C23—22no—
1641C23—24no—
1642C23—21no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—24no—
1647C23—22no—
1648C23—21no—
1649C23—24no—
1650C23—21no—
1651C23—22no—
1652C23—24no—
1653C23—24no—
1654C23—24no—
1655C23—21no—
1656C23—24no—
1657C23—22no—
1658C23—24no—
1659C23—22no—
1660C23—21no—
1661C23—22no—
1662C23—24no—
1663C23—22no—
1664C23—24no—
1665C23—24no—
1666C23—22no—
1667C23—24no—
1668C23—21no—
1669C23—22no—
1670C23—88no—
1671C23—88no—
1672C23—88no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—88no—
1677C23—88no—
1678C23—88no—
1679C23—88no—
1680C23—164no—
1681C23—164no—
1682C23—164no—
1683C23—164no—
1684C23C2×H(5,𝔽2)12yes—
1685C23C2×H(5,𝔽2)14yes—
1686C23C2611yescharacteristic
1687Q8—48no—
1688Q8—44no—
1689Q8—84no—
1690D4—28no—
1691D4—48no—
1692D4—416no—
1693D4—48no—
1694D4—48no—
1695D4—48no—
1696D4—44no—
1697D4—48no—
1698D4—44no—
1699D4—48no—
1700D4—48no—
1701D4—48no—
1702D4—44no—
1703D4—48no—
1704D4—84no—
1705D4—84no—
1706D4—84no—
1707D4—88no—
1708D4—88no—
1709D4—88no—
1710D4—84no—
1711D4—88no—
1712D4—84no—
1713D4—88no—
1714D4—88no—
1715D4—88no—
1716D4—88no—
1717D4—88no—
1718D4—88no—
1719D4—88no—
1720D4—164no—
1721D4—164no—
1722D4—164no—
1723D4—164no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—24no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—44no—
1799C2×C4—44no—
1800C2×C4—48no—
1801C2×C4—48no—
1802C2×C4—44no—
1803C2×C4—44no—
1804C2×C4—44no—
1805C2×C4—48no—
1806C2×C4—48no—
1807C2×C4—44no—
1808C2×C4—84no—
1809C2×C4—88no—
1810C2×C4—88no—
1811C2×C4—88no—
1812C2×C4—88no—
1813C2×C4—88no—
1814C2×C4C2×H(5,𝔽2)12yes—
1815C2×C4C2×H(5,𝔽2)12yes—
1816C2×C4C2×H(5,𝔽2)12yes—
1817C2×C4C2×H(5,𝔽2)14yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4#58512yes—
1823C2×C4#58512yes—
1824C22—24no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—24no—
1829C22—24no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—42no—
1834C22—41no—
1835C22—42no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—42no—
1840C22—42no—
1841C22—44no—
1842C22—44no—
1843C22—42no—
1844C22—44no—
1845C22—44no—
1846C22—42no—
1847C22—41no—
1848C22—41no—
1849C22—42no—
1850C22—44no—
1851C22—44no—
1852C22—42no—
1853C22—41no—
1854C22—44no—
1855C22—44no—
1856C22—42no—
1857C22—42no—
1858C22—41no—
1859C22—42no—
1860C22—44no—
1861C22—42no—
1862C22—44no—
1863C22—42no—
1864C22—41no—
1865C22—44no—
1866C22—42no—
1867C22—44no—
1868C22—41no—
1869C22—42no—
1870C22—44no—
1871C22—44no—
1872C22—42no—
1873C22—1616no—
1874C22—1616no—
1875C22C22×H(5,𝔽2)11yescharacteristic
1876C22C22×H(5,𝔽2)11yescharacteristic
1877C22C22×H(5,𝔽2)11yescharacteristic
1878C22C22×H(5,𝔽2)11yescharacteristic
1879C22C2×#58511yescharacteristic
1880C22C2×#58511yescharacteristic
1881C22H(7,𝔽2)11yescharacteristic
1882C4—24no—
1883C4—22no—
1884C4—22no—
1885C4—22no—
1886C4—41no—
1887C4—42no—
1888C4—42no—
1889C4—41no—
1890C4—44no—
1891C4—42no—
1892C4—42no—
1893C4—41no—
1894C4—42no—
1895C4—41no—
1896C4—42no—
1897C4—44no—
1898C4—42no—
1899C4—41no—
1900C4—42no—
1901C4—41no—
1902C4—42no—
1903C4—42no—
1904C4—41no—
1905C4—42no—
1906C4—42no—
1907C4—41no—
1908C4#354214yes—
1909C4#354614yes—
1910C2—44no—
1911C2—42no—
1912C2—82no—
1913C2—81no—
1914C2—84no—
1915C2—84no—
1916C2—82no—
1917C2C2×#354211yescharacteristic
1918C2C2×#354611yescharacteristic
1919C2#6275911yescharacteristic
1920C2#6291211yescharacteristic
1921C2#6292011yescharacteristic
1922C2#6292311yescharacteristic
1923C2#6301111yescharacteristic
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. #59815C2semidirect
2. #59808C2semidirect
3. #59412C2semidirect
4. #59126C2semidirect
5. #59056C2semidirect
6. #56609C2semidirect
7. #53907C2semidirect
8. #53103C2semidirect
9. #53102C2semidirect
10. #53102C2semidirect
11. #53076C2semidirect
12. #52405C2semidirect
13. #42483C2semidirect
14. #42480C2semidirect
15. #42476C2semidirect
16. #42474C2semidirect
17. #40597C2semidirect
18. #39066C2semidirect
19. #39059C2semidirect
20. #39030C2semidirect
21. #39024C2semidirect
22. #38985C2semidirect
23. #38953C2semidirect
24. #38932C2semidirect
25. #38922C2semidirect
26. #37625C2semidirect
27. #37614C2semidirect
28. #37587C2semidirect
29. #37493C2semidirect
30. #36472C2semidirect
31. #36258C2semidirect
32. #36121C2semidirect
33. #34977C2semidirect
34. #34800C2semidirect
35. #34727C2semidirect
36. C2×#555C22semidirect
37. C2×#553C22semidirect
38. C2×#550C22semidirect
39. C2×#547C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
46. C2×#532C22semidirect
48. C2×#529C22semidirect
49. C2×C4×#41C22semidirect
50. #2860C22semidirect
52. #2857C22semidirect
54. #2854C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2818C22semidirect
62. #2818C22semidirect
63. #2815C22semidirect
64. #2813C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2812C22semidirect
68. #2812C22semidirect
69. #2779C22semidirect
70. #2779C22semidirect
71. #2764C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2752C22semidirect
75. #2735C22semidirect
76. #2733C22semidirect
77. #2715C22semidirect
78. #2715C22semidirect
79. #2705C22semidirect
80. #2703C22semidirect
81. #2703C22semidirect
82. #2702C22semidirect
83. #2701C22semidirect
84. #2700C22semidirect
85. #2697C22semidirect
86. #2687C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2682C22semidirect
92. #2682C22semidirect
93. #2681C22semidirect
94. #2681C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2672C22semidirect
100. #2670C22semidirect
101. #2670C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2661C22semidirect
107. #2657C22semidirect
108. #2648C22semidirect
109. #2648C22semidirect
110. #2647C22semidirect
111. #2644C22semidirect
112. #2644C22semidirect
113. #2641C22semidirect
114. #2641C22semidirect
115. #2635C22semidirect
116. #2630C22semidirect
117. #2630C22semidirect
118. #2624C22semidirect
119. #2624C22semidirect
120. #2622C22semidirect
121. #2620C22semidirect
122. #2619C22semidirect
123. #2619C22semidirect
124. #2619C22semidirect
125. #2617C22semidirect
126. #2615C22semidirect
127. #2613C22semidirect
128. #2613C22semidirect
129. #2610C22semidirect
130. #2603C22semidirect
131. #2602C22semidirect
132. #2592C22semidirect
133. #2567C22semidirect
134. #2563C22semidirect
135. #2562C22semidirect
136. #2552C22semidirect
138. #2548C22semidirect
139. #2544C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2538C22semidirect
147. #2538C22semidirect
148. #2538C22semidirect
149. #2537C22semidirect
150. #2537C22semidirect
151. #2535C22semidirect
152. #2534C22semidirect
153. #2532C22semidirect
154. #2526C22semidirect
155. #2518C22semidirect
156. #2518C22semidirect
157. #2513C22semidirect
158. #2512C22semidirect
159. #2512C22semidirect
160. #2508C22semidirect
161. #2500C22semidirect
162. #2500C22semidirect
163. #2500C22semidirect
164. #2497C22semidirect
165. #2495C22semidirect
166. #2495C22semidirect
168. #2490C22semidirect
169. #2486C22semidirect
170. #2485C22semidirect
171. #2485C22semidirect
172. #2479C22semidirect
173. #2472C22semidirect
174. #2471C22semidirect
175. #2467C22semidirect
176. #2467C22semidirect
177. #2464C22semidirect
178. #2464C22semidirect
179. #2459C22semidirect
180. #2457C22semidirect
181. #2456C22semidirect
182. #2454C22semidirect
183. #2454C22semidirect
184. #2452C22semidirect
185. #2448C22semidirect
186. #2447C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2442C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
195. #2439C22semidirect
196. #2435C22semidirect
197. #2435C22semidirect
200. #2433C22semidirect
201. #2433C22semidirect
202. #2431C22semidirect
203. #2431C22semidirect
204. #2431C22semidirect
205. #2431C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2427C22semidirect
215. #2427C22semidirect
216. #2426C22semidirect
217. #2424C22semidirect
218. #2424C22semidirect
219. #2424C22semidirect
220. #2423C22semidirect
222. #2422C22semidirect
223. #2422C22semidirect
224. #2418C22semidirect
226. #2416C22semidirect
227. #2416C22semidirect
228. #2416C22semidirect
229. #2415C22semidirect
231. #2414C22semidirect
232. #2414C22semidirect
233. #2414C22semidirect
234. #2414C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2411C22semidirect
243. #2408C22semidirect
244. #2408C22semidirect
245. #2408C22semidirect
246. #2408C22semidirect
247. #2408C22semidirect
248. #2408C22semidirect
249. #2408C22semidirect
250. #2408C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2405C22semidirect
255. #2404C22semidirect
257. #2398C22semidirect
258. #2397C22semidirect
259. #2392C22semidirect
260. #2392C22semidirect
261. #2388C22semidirect
262. #2369C22semidirect
264. #2363C22semidirect
265. #2363C22semidirect
266. #2361C22semidirect
267. D4×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. D4×C22⋊C4C22semidirect
271. D4×C22⋊C4C22semidirect
272. #2319C22semidirect
273. #2319C22semidirect
274. #2316C22semidirect
275. #2312C22semidirect
276. #2309C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
279. C4×#127C22semidirect
280. C4×#127C22semidirect
281. C4×#127C22semidirect
282. C4×#124C22semidirect
283. C4×#124C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2298C22semidirect
292. #2295C22semidirect
293. #2293C22semidirect
294. C2×#390C22semidirect
295. #2290C22semidirect
296. #2283C22semidirect
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
#598152
#598082
#594122
#591262
#590562
#566092
#539072
#531032
#531022
#530762
#524052
#424832
#424802
#424762
#424742
#405972
#390662
#390592
#390302
#390242
#389852
#389532
#389322
#389222
#376252
#376142
#375872
#374932
#364722
#362582
#361212
#349772
#348002
#347272