Finite Group Databasebeta

← #8459270

Subgroups — #8459270

Order 512.

5946 conjugacy classes of subgroups.

The subgroup lattice has 1937 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59126C211yesmaximal, characteristic, complemented
3#59051C211yesmaximal, characteristic, complemented
4#57529C214yesmaximal, complemented
5#55057C214yesmaximal, complemented
6#54845C214yesmaximal, complemented
7#53129C212yesmaximal, complemented
8#52969C212yesmaximal, complemented
9#48473C214yesmaximal, complemented
10#45610C212yesmaximal, complemented
11#45518C212yesmaximal, complemented
12#45019C212yesmaximal, complemented
13#44932C212yesmaximal, complemented
14#42677C212yesmaximal, complemented
15#42565C212yesmaximal, complemented
16#42474C212yesmaximal, complemented
17#42422C212yesmaximal, complemented
18#39957C212yesmaximal, complemented
19#39771C211yesmaximal, characteristic, complemented
20#39735C211yesmaximal, characteristic, complemented
21#39481C211yesmaximal, characteristic, complemented
22#39198C212yesmaximal, complemented
23#38910C211yesmaximal, characteristic, complemented
24#38090C212yesmaximal, complemented
25#38026C212yesmaximal, complemented
26#37616C211yesmaximal, characteristic, complemented
27#37348C212yesmaximal, complemented
28#37278C212yesmaximal, complemented
29#36404C211yesmaximal, characteristic, complemented
30#36260C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#35197C211yesmaximal, characteristic, complemented
34#34932C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#550C2212yescomplemented
38C2×#547C2211yescharacteristic, complemented
39C2×#546C2212yescomplemented
40C2×#546C2212yescomplemented
41C2×#546C2212yescomplemented
42C2×D42C2212yes—
43C2×D42C2212yes—
44C2×D42C2211yescharacteristic
45C2×#535C2212yescomplemented
46C2×#532C2211yescharacteristic, complemented
47C22×#127C2211yescharacteristic
48C2×#529C2212yescomplemented
49C2×#529C2211yescharacteristic, complemented
50C2×C4×#41C2211yescharacteristic, complemented
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2856C2212yescomplemented
55#2856C2212yescomplemented
56#2856C2212yescomplemented
57#2855C2212yescomplemented
58#2854C2212yescomplemented
59#2850C2212yescomplemented
60#2837C2214yescomplemented
61#2829C2214yescomplemented
62#2828C2214yescomplemented
63#2815C2214yescomplemented
64#2815C2214yescomplemented
65#2813C2214yescomplemented
66#2812C2214yescomplemented
67#2812C2214yescomplemented
68#2803C2214yescomplemented
69#2803C2214yescomplemented
70#2797C2214yescomplemented
71#2796C2214yescomplemented
72#2796C2214yescomplemented
73#2773C2214yescomplemented
74#2753C2214yescomplemented
75#2752C2214yescomplemented
76#2751C2214yescomplemented
77#2748C2214yescomplemented
78#2741C2214yescomplemented
79#2740C2214yescomplemented
80#2735C2214yescomplemented
81#2733C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2711C2214yescomplemented
85#2711C2214yescomplemented
86#2710C2214yescomplemented
87#2710C2214yescomplemented
88#2703C2214yescomplemented
89#2701C2214yescomplemented
90#2701C2214yescomplemented
91#2699C2214yescomplemented
92#2697C2214yescomplemented
93#2688C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2685C2214yescomplemented
97#2682C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2669C2214yes—
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2668C2214yescomplemented
115#2668C2214yescomplemented
116#2668C2214yescomplemented
117#2661C2214yescomplemented
118#2648C2214yescomplemented
119#2640C2212yescomplemented
120#2636C2214yescomplemented
121#2624C2212yes—
122#2624C2214yescomplemented
123#2624C2212yescomplemented
124#2622C2214yescomplemented
125#2620C2212yescomplemented
126#2620C2212yescomplemented
127#2620C2212yescomplemented
128#2619C2212yescomplemented
129#2619C2214yescomplemented
130#2619C2212yescomplemented
131#2617C2214yescomplemented
132#2613C2214yescomplemented
133#2602C2214yescomplemented
134#2592C2212yescomplemented
135#2580C2212yescomplemented
136#2571C2211yescharacteristic, complemented
137#2568C2211yescharacteristic, complemented
138#2566C2212yescomplemented
139#2553C2212yescomplemented
140#2553C2212yescomplemented
141#2552C2211yescharacteristic, complemented
142#2548C2211yescharacteristic
143#2548C2212yescomplemented
144#2548C2212yescomplemented
145#2548C2212yescomplemented
146#2548C2211yescharacteristic, complemented
147#2547C2211yescharacteristic, complemented
148#2544C2212yescomplemented
149#2544C2212yescomplemented
150#2542C2211yescharacteristic, complemented
151#2542C2211yescharacteristic, complemented
152#2541C2211yescharacteristic
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2212yescomplemented
156#2541C2212yescomplemented
157#2541C2211yescharacteristic, complemented
158#2541C2212yescomplemented
159#2540C2212yescomplemented
160#2540C2212yescomplemented
161#2540C2212yescomplemented
162#2539C2214yescomplemented
163#2539C2214yescomplemented
164#2539C2214yescomplemented
165#2538C2211yescharacteristic, complemented
166#2537C2211yescharacteristic
167#2537C2212yescomplemented
168#2536C2212yescomplemented
169#2535C2212yescomplemented
170#2513C2212yescomplemented
171#2513C2212yescomplemented
172#2513C2212yescomplemented
173#2513C2212yescomplemented
174#2507C2212yescomplemented
175#2501C2212yescomplemented
176#2500C2212yescomplemented
177#2499C2212yescomplemented
178#2496C2211yescharacteristic, complemented
179#2496C2211yescharacteristic, complemented
180#2490C2212yescomplemented
181#2489C2212yescomplemented
182#2482C2214yescomplemented
183#2479C2212yescomplemented
184#2472C2214yescomplemented
185#2472C2214yescomplemented
186#2471C2212yescomplemented
187#2471C2214yescomplemented
188#2471C2214yescomplemented
189#2470C2214yescomplemented
190#2467C2212yescomplemented
191#2457C2214yescomplemented
192#2457C2214yescomplemented
193#2456C2212yescomplemented
194#2456C2214yescomplemented
195#2454C2211yescharacteristic, complemented
196#2448C2212yescomplemented
197#2448C2211yescharacteristic, complemented
198#2447C2212yescomplemented
199#2447C2212yescomplemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2441C2211yescharacteristic, complemented
205#2435C2212yescomplemented
206#2435C2212yescomplemented
207#2433C2212yes—
208#2433C2212yes—
209#2433C2212yescomplemented
210#2431C2211yescharacteristic
211#2431C2212yescomplemented
212#2431C2212yescomplemented
213#2428C2212yes—
214#2428C2212yes—
215#2428C2212yescomplemented
216#2428C2212yescomplemented
217#2428C2212yescomplemented
218#2428C2211yescharacteristic, complemented
219#2427C2212yescomplemented
220#2427C2212yescomplemented
221#2426C2212yescomplemented
222#2423C2212yescomplemented
223#2423C2211yescharacteristic, complemented
224#2422C2211yescharacteristic
225#2422C2211yescharacteristic, complemented
226#2422C2212yescomplemented
227#2420C2212yescomplemented
228#2420C2212yescomplemented
229#2418C2214yescomplemented
230#2418C2214yescomplemented
231#2416C2212yescomplemented
232#2415C2212yescomplemented
233#2415C2212yescomplemented
234#2414C2211yescharacteristic
235#2414C2212yescomplemented
236#2414C2212yescomplemented
237#2414C2214yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2410C2214yescomplemented
241#2410C2214yescomplemented
242#2408C2212yes—
243#2408C2212yes—
244#2408C2212yescomplemented
245#2408C2214yescomplemented
246#2408C2212yescomplemented
247#2408C2212yescomplemented
248#2408C2212yescomplemented
249#2408C2212yescomplemented
250#2408C2212yescomplemented
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2211yescharacteristic, complemented
256#2407C2212yescomplemented
257#2405C2214yescomplemented
258#2403C2214yes—
259#2397C2212yescomplemented
260#2395C2212yescomplemented
261#2395C2212yescomplemented
262#2392C2212yescomplemented
263#2377C2214yescomplemented
264#2366C2211yescharacteristic
265#2365C2211yescharacteristic, complemented
266#2361C2212yescomplemented
267#2360C2212yescomplemented
268#2354C2211yescharacteristic, complemented
269#2354C2211yescharacteristic, complemented
270#2354C2212yescomplemented
271#2352C2212yescomplemented
272D4×C22⋊C4C2212yescomplemented
273D4×C22⋊C4C2212yescomplemented
274#2328C2212yescomplemented
275#2326C2212yescomplemented
276#2324C2212yescomplemented
277#2321C2214yescomplemented
278#2319C2212yescomplemented
279#2314C2212yescomplemented
280#2309C2212yescomplemented
281#2309C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic, complemented
284C4×#127C2211yescharacteristic, complemented
285C4×C22⋊Q8C2212yescomplemented
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291#2297C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293C2×#390C2212yescomplemented
294#2290C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307C23×D4C2314yes—
308#555—48no—
309#550—48no—
310#547—44no—
311#546—48no—
312#546—48no—
313#546—48no—
314D42—44no—
315D42—48no—
316D42—48no—
317#535—48no—
318#532—44no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127—44no—
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2314yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333#529—44no—
334#529—48no—
335C2×#126C2312yes—
336C2×#126C2312yes—
337C2×#126C2312yes—
338C2×#125C2311yescharacteristic
339C2×#125C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#124C2314yes—
348C2×#124C2311yescharacteristic
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C2×#120C2314yes—
414C4×#41—44no—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×#117C2312yes—
446C2×#117C2311yescharacteristic
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2314yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C22⋊C4C2314yes—
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2314yes—
457C22×C42C2311yescharacteristic
458C22×C42C2311yescharacteristic
459C22×C42C2312yes—
460C22×C42C2312yes—
461#400C2314yes—
462#400C2314yes—
463#400C2312yes—
464#400C2312yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2312yes—
470#399C2314yes—
471#399C2314yes—
472#399C2312yes—
473#399C2312yes—
474#399C2312yes—
475#399C2312yes—
476#399C2312yes—
477#398C2314yes—
478#398C2312yes—
479#398C2312yes—
480#398C2312yes—
481#398C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2312yes—
490#397C2314yes—
491#397C2312yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2312yes—
496#397C2314yes—
497#397C2312yes—
498#397C2312yes—
499#397C2312yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#394C2312yes—
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#394C2312yes—
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#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#393C2314yes—
555#393C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2312yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2312yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2312yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2312yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2314yes—
615#390C2312yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2314yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2314yes—
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2311yescharacteristic
643#390C2311yescharacteristic
644#390C2311yescharacteristic
645#390C2314yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2314yes—
693#388C2312yes—
694#388C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#382C2312yes—
758#382C2312yes—
759#382C2312yes—
760#382C2312yes—
761#382C2312yes—
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791#379C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2312yes—
823#376C2312yes—
824C43C2311yescharacteristic
825C25C2414yes—
826C25C2414yes—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—42no—
830C2×#41—42no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×D4—28no—
840C22×D4—28no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
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×D4—84no—
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2411yescharacteristic
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C23×C4C2411yescharacteristic
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2411yescharacteristic
906C23×C4C2414yes—
907C23×C4C2414yes—
908C4⋊Q8—24no—
909C4⋊Q8—24no—
910#127—28no—
911#127—24no—
912#127—24no—
913#127—44no—
914#127—44no—
915#127—44no—
916#127—42no—
917#127—44no—
918#127—44no—
919#127—44no—
920#127—48no—
921#126—44no—
922#126—44no—
923#126—44no—
924#125—42no—
925#125—44no—
926#124—28no—
927#124—42no—
928#124—44no—
929#124—44no—
930#124—44no—
931#124—44no—
932#124—44no—
933#124—48no—
934#124—48no—
935#123—44no—
936#123—48no—
937#123—48no—
938#123—48no—
939#123—44no—
940#123—44no—
941#123—48no—
942#123—84no—
943#123—84no—
944C22⋊Q8—44no—
945C22⋊Q8—44no—
946C22⋊Q8—44no—
947C22⋊Q8—42no—
948C22⋊Q8—44no—
949C22⋊Q8—44no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952#121—24no—
953#121—24no—
954#121—24no—
955#121—44no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—44no—
960#121—48no—
961#121—48no—
962#121—44no—
963#121—42no—
964#121—44no—
965#121—48no—
966#121—42no—
967#121—44no—
968#121—44no—
969#121—48no—
970#121—48no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—48no—
983#121—48no—
984#121—48no—
985#121—84no—
986#121—84no—
987#121—82no—
988#120—48no—
989#120—48no—
990#120—48no—
991#120—48no—
992#120—48no—
993#120—48no—
994#120—48no—
995#120—48no—
996#120—48no—
997#120—48no—
998#120—48no—
999#120—84no—
1000C4×Q8—24no—
1001C4×Q8—44no—
1002C4×Q8—42no—
1003C4×Q8—44no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—28no—
1007C4×D4—24no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—44no—
1015C4×D4—42no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—42no—
1027C4×D4—44no—
1028C4×D4—48no—
1029C4×D4—82no—
1030#117—28no—
1031#117—44no—
1032#117—44no—
1033#117—44no—
1034#117—42no—
1035#117—44no—
1036#117—44no—
1037#117—48no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C22⋊C4—48no—
1093C2×C22⋊C4—48no—
1094C2×C22⋊C4—48no—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C42—24no—
1179C2×C42—24no—
1180C2×C42—44no—
1181C2×C42—44no—
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2414yes—
1201C2×C42C2412yes—
1202C2×C42C2411yescharacteristic
1203C2×C42C2412yes—
1204C2×C42C2412yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2411yescharacteristic
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253C24—28no—
1254C24—28no—
1255C24—44no—
1256C24—44no—
1257C24—44no—
1258C24—44no—
1259C24—44no—
1260C24—44no—
1261C24—44no—
1262C24—44no—
1263C24—44no—
1264C24—44no—
1265C24—44no—
1266C24—44no—
1267C24C2514yes—
1268C24C2512yes—
1269C24C2514yes—
1270C24C2511yescharacteristic
1271C24C2512yes—
1272C24C2511yescharacteristic
1273C24C2512yes—
1274#41—416no—
1275#41—816no—
1276#41—816no—
1277C2×Q8—22no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—22no—
1282C2×Q8—24no—
1283C2×Q8—22no—
1284C2×Q8—42no—
1285C2×Q8—42no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—28no—
1292C2×D4—28no—
1293C2×D4—28no—
1294C2×D4—24no—
1295C2×D4—28no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—22no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—28no—
1317C2×D4—24no—
1318C2×D4—22no—
1319C2×D4—24no—
1320C2×D4—22no—
1321C2×D4—28no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—41no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—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—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—816no—
1388C2×D4—816no—
1389C2×D4—816no—
1390C2×D4—816no—
1391C2×D4—816no—
1392C2×D4—832no—
1393C2×D4H(5,𝔽2)14yes—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—24no—
1397C22×C4—28no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—28no—
1422C22×C4—24no—
1423C22×C4—42no—
1424C22×C4—41no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—41no—
1438C22×C4—44no—
1439C22×C4—41no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—44no—
1444C22×C4H(5,𝔽2)14yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2514yes—
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2514yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2511yescharacteristic
1463C22×C4C2512yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—22no—
1493C4⋊C4—24no—
1494C4⋊C4—22no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—44no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—44no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—22no—
1531C22⋊C4—24no—
1532C22⋊C4—24no—
1533C22⋊C4—22no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—24no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—24no—
1542C22⋊C4—28no—
1543C22⋊C4—22no—
1544C22⋊C4—24no—
1545C22⋊C4—22no—
1546C22⋊C4—24no—
1547C22⋊C4—22no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—41no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—42no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
1609C42—22no—
1610C42—22no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—22no—
1615C42—22no—
1616C42—24no—
1617C42—24no—
1618C42—24no—
1619C42—24no—
1620C42—22no—
1621C42—24no—
1622C42—22no—
1623C42—42no—
1624C42—42no—
1625C42—42no—
1626C42—42no—
1627C42—44no—
1628C42—44no—
1629C42—41no—
1630C42—44no—
1631C42—41no—
1632C42H(5,𝔽2)14yes—
1633C42H(5,𝔽2)14yes—
1634C23—21no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—21no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—21no—
1644C23—22no—
1645C23—21no—
1646C23—24no—
1647C23—21no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—24no—
1652C23—22no—
1653C23—21no—
1654C23—22no—
1655C23—22no—
1656C23—24no—
1657C23—24no—
1658C23—24no—
1659C23—21no—
1660C23—21no—
1661C23—22no—
1662C23—24no—
1663C23—24no—
1664C23—24no—
1665C23—22no—
1666C23—21no—
1667C23—22no—
1668C23—24no—
1669C23—24no—
1670C23—22no—
1671C23—24no—
1672C23—24no—
1673C23—22no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—24no—
1678C23—24no—
1679C23—22no—
1680C23—21no—
1681C23—88no—
1682C23—88no—
1683C23—88no—
1684C23—88no—
1685C23—88no—
1686C23—88no—
1687C23—88no—
1688C23—88no—
1689C23—88no—
1690C23—88no—
1691C23—164no—
1692C23—164no—
1693C23—164no—
1694C23—164no—
1695C23C2×H(5,𝔽2)12yes—
1696C23C2×H(5,𝔽2)14yes—
1697C23C2611yescharacteristic
1698Q8—44no—
1699Q8—48no—
1700Q8—84no—
1701D4—28no—
1702D4—44no—
1703D4—48no—
1704D4—48no—
1705D4—48no—
1706D4—48no—
1707D4—48no—
1708D4—44no—
1709D4—48no—
1710D4—44no—
1711D4—48no—
1712D4—48no—
1713D4—84no—
1714D4—88no—
1715D4—84no—
1716D4—88no—
1717D4—88no—
1718D4—84no—
1719D4—88no—
1720D4—88no—
1721D4—88no—
1722D4—84no—
1723D4—84no—
1724D4—84no—
1725D4—88no—
1726D4—88no—
1727D4—88no—
1728D4—88no—
1729D4—164no—
1730D4—164no—
1731D4—164no—
1732D4—164no—
1733D4—164no—
1734D4—164no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—28no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—24no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—24no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—24no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—24no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—44no—
1810C2×C4—48no—
1811C2×C4—44no—
1812C2×C4—48no—
1813C2×C4—48no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—44no—
1817C2×C4—84no—
1818C2×C4—84no—
1819C2×C4—82no—
1820C2×C4—88no—
1821C2×C4—84no—
1822C2×C4—88no—
1823C2×C4—88no—
1824C2×C4—88no—
1825C2×C4C2×H(5,𝔽2)12yes—
1826C2×C4C2×H(5,𝔽2)12yes—
1827C2×C4C2×H(5,𝔽2)12yes—
1828C2×C4C2×H(5,𝔽2)12yes—
1829C2×C4C2×H(5,𝔽2)12yes—
1830C2×C4C2×H(5,𝔽2)12yes—
1831C2×C4C2×H(5,𝔽2)12yes—
1832C2×C4C2×H(5,𝔽2)12yes—
1833C2×C4C2×H(5,𝔽2)12yes—
1834C2×C4#58512yes—
1835C2×C4#58512yes—
1836C22—24no—
1837C22—24no—
1838C22—22no—
1839C22—24no—
1840C22—22no—
1841C22—22no—
1842C22—41no—
1843C22—41no—
1844C22—42no—
1845C22—41no—
1846C22—42no—
1847C22—42no—
1848C22—41no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—44no—
1854C22—44no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—44no—
1859C22—44no—
1860C22—41no—
1861C22—42no—
1862C22—44no—
1863C22—42no—
1864C22—44no—
1865C22—44no—
1866C22—42no—
1867C22—44no—
1868C22—41no—
1869C22—42no—
1870C22—41no—
1871C22—42no—
1872C22—44no—
1873C22—44no—
1874C22—42no—
1875C22—44no—
1876C22—42no—
1877C22—42no—
1878C22—41no—
1879C22—44no—
1880C22—42no—
1881C22—41no—
1882C22—44no—
1883C22—42no—
1884C22—44no—
1885C22—1616no—
1886C22—1616no—
1887C22C22×H(5,𝔽2)11yescharacteristic
1888C22C22×H(5,𝔽2)11yescharacteristic
1889C22C22×H(5,𝔽2)11yescharacteristic
1890C22C22×H(5,𝔽2)11yescharacteristic
1891C22C2×#58511yescharacteristic
1892C22C2×#58511yescharacteristic
1893C22H(7,𝔽2)11yescharacteristic
1894C4—22no—
1895C4—22no—
1896C4—22no—
1897C4—22no—
1898C4—22no—
1899C4—42no—
1900C4—41no—
1901C4—42no—
1902C4—41no—
1903C4—44no—
1904C4—41no—
1905C4—42no—
1906C4—42no—
1907C4—42no—
1908C4—42no—
1909C4—41no—
1910C4—42no—
1911C4—42no—
1912C4—42no—
1913C4—42no—
1914C4—41no—
1915C4—42no—
1916C4—44no—
1917C4—41no—
1918C4—42no—
1919C4—42no—
1920C4#354214yes—
1921C4#354314yes—
1922C2—44no—
1923C2—42no—
1924C2—81no—
1925C2—82no—
1926C2—84no—
1927C2—82no—
1928C2—84no—
1929C2C2×#354211yescharacteristic
1930C2C2×#354311yescharacteristic
1931C2#6283411yescharacteristic
1932C2#6291211yescharacteristic
1933C2#6292411yescharacteristic
1934C2#6295511yescharacteristic
1935C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59822C2semidirect
2. #59126C2semidirect
3. #59051C2semidirect
4. #57529C2semidirect
5. #55057C2semidirect
6. #54845C2semidirect
7. #53129C2semidirect
8. #52969C2semidirect
9. #48473C2semidirect
10. #45610C2semidirect
11. #45518C2semidirect
12. #45019C2semidirect
13. #44932C2semidirect
14. #42677C2semidirect
15. #42565C2semidirect
16. #42474C2semidirect
17. #42422C2semidirect
18. #39957C2semidirect
19. #39771C2semidirect
20. #39735C2semidirect
21. #39481C2semidirect
22. #39198C2semidirect
23. #38910C2semidirect
24. #38090C2semidirect
25. #38026C2semidirect
26. #37616C2semidirect
27. #37348C2semidirect
28. #37278C2semidirect
29. #36404C2semidirect
30. #36260C2semidirect
31. #36121C2semidirect
32. #35272C2semidirect
33. #35197C2semidirect
34. #34932C2semidirect
35. #34727C2semidirect
36. C2×#555C22semidirect
37. C2×#550C22semidirect
38. C2×#547C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
45. C2×#535C22semidirect
46. C2×#532C22semidirect
48. C2×#529C22semidirect
49. C2×#529C22semidirect
50. C2×C4×#41C22semidirect
52. #2857C22semidirect
54. #2856C22semidirect
55. #2856C22semidirect
56. #2856C22semidirect
57. #2855C22semidirect
58. #2854C22semidirect
59. #2850C22semidirect
60. #2837C22semidirect
61. #2829C22semidirect
62. #2828C22semidirect
63. #2815C22semidirect
64. #2815C22semidirect
65. #2813C22semidirect
66. #2812C22semidirect
67. #2812C22semidirect
68. #2803C22semidirect
69. #2803C22semidirect
70. #2797C22semidirect
71. #2796C22semidirect
72. #2796C22semidirect
73. #2773C22semidirect
74. #2753C22semidirect
75. #2752C22semidirect
76. #2751C22semidirect
77. #2748C22semidirect
78. #2741C22semidirect
79. #2740C22semidirect
80. #2735C22semidirect
81. #2733C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2711C22semidirect
85. #2711C22semidirect
86. #2710C22semidirect
87. #2710C22semidirect
88. #2703C22semidirect
89. #2701C22semidirect
90. #2701C22semidirect
91. #2699C22semidirect
92. #2697C22semidirect
93. #2688C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2685C22semidirect
97. #2682C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2668C22semidirect
115. #2668C22semidirect
116. #2668C22semidirect
117. #2661C22semidirect
118. #2648C22semidirect
119. #2640C22semidirect
120. #2636C22semidirect
122. #2624C22semidirect
123. #2624C22semidirect
124. #2622C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2620C22semidirect
128. #2619C22semidirect
129. #2619C22semidirect
130. #2619C22semidirect
131. #2617C22semidirect
132. #2613C22semidirect
133. #2602C22semidirect
134. #2592C22semidirect
135. #2580C22semidirect
136. #2571C22semidirect
137. #2568C22semidirect
138. #2566C22semidirect
139. #2553C22semidirect
140. #2553C22semidirect
141. #2552C22semidirect
143. #2548C22semidirect
144. #2548C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
147. #2547C22semidirect
148. #2544C22semidirect
149. #2544C22semidirect
150. #2542C22semidirect
151. #2542C22semidirect
155. #2541C22semidirect
156. #2541C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2540C22semidirect
160. #2540C22semidirect
161. #2540C22semidirect
162. #2539C22semidirect
163. #2539C22semidirect
164. #2539C22semidirect
165. #2538C22semidirect
167. #2537C22semidirect
168. #2536C22semidirect
169. #2535C22semidirect
170. #2513C22semidirect
171. #2513C22semidirect
172. #2513C22semidirect
173. #2513C22semidirect
174. #2507C22semidirect
175. #2501C22semidirect
176. #2500C22semidirect
177. #2499C22semidirect
178. #2496C22semidirect
179. #2496C22semidirect
180. #2490C22semidirect
181. #2489C22semidirect
182. #2482C22semidirect
183. #2479C22semidirect
184. #2472C22semidirect
185. #2472C22semidirect
186. #2471C22semidirect
187. #2471C22semidirect
188. #2471C22semidirect
189. #2470C22semidirect
190. #2467C22semidirect
191. #2457C22semidirect
192. #2457C22semidirect
193. #2456C22semidirect
194. #2456C22semidirect
195. #2454C22semidirect
196. #2448C22semidirect
197. #2448C22semidirect
198. #2447C22semidirect
199. #2447C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2441C22semidirect
205. #2435C22semidirect
206. #2435C22semidirect
209. #2433C22semidirect
211. #2431C22semidirect
212. #2431C22semidirect
215. #2428C22semidirect
216. #2428C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
219. #2427C22semidirect
220. #2427C22semidirect
221. #2426C22semidirect
222. #2423C22semidirect
223. #2423C22semidirect
225. #2422C22semidirect
226. #2422C22semidirect
227. #2420C22semidirect
228. #2420C22semidirect
229. #2418C22semidirect
230. #2418C22semidirect
231. #2416C22semidirect
232. #2415C22semidirect
233. #2415C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2410C22semidirect
241. #2410C22semidirect
244. #2408C22semidirect
245. #2408C22semidirect
246. #2408C22semidirect
247. #2408C22semidirect
248. #2408C22semidirect
249. #2408C22semidirect
250. #2408C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2405C22semidirect
259. #2397C22semidirect
260. #2395C22semidirect
261. #2395C22semidirect
262. #2392C22semidirect
263. #2377C22semidirect
265. #2365C22semidirect
266. #2361C22semidirect
267. #2360C22semidirect
268. #2354C22semidirect
269. #2354C22semidirect
270. #2354C22semidirect
271. #2352C22semidirect
272. D4×C22⋊C4C22semidirect
273. D4×C22⋊C4C22semidirect
274. #2328C22semidirect
275. #2326C22semidirect
276. #2324C22semidirect
277. #2321C22semidirect
278. #2319C22semidirect
279. #2314C22semidirect
280. #2309C22semidirect
281. #2309C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
285. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2297C22semidirect
292. #2295C22semidirect
293. C2×#390C22semidirect
294. #2290C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#591262
#590512
#575292
#550572
#548452
#531292
#529692
#484732
#456102
#455182
#450192
#449322
#426772
#425652
#424742
#424222
#399572
#397712
#397352
#394812
#391982
#389102
#380902
#380262
#376162
#373482
#372782
#364042
#362602
#361212
#352722
#351972
#349322
#347272