Finite Group Databasebeta

← #7880654

Subgroups — #7880654

Order 512.

5887 conjugacy classes of subgroups.

The subgroup lattice has 1823 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59476C212yesmaximal, complemented
2#59476C212yesmaximal, complemented
3#59458C211yesmaximal, characteristic, complemented
4#59143C211yesmaximal, characteristic, complemented
5#59143C211yesmaximal, characteristic, complemented
6#50346C214yesmaximal, complemented
7#48553C214yesmaximal, complemented
8#46473C214yesmaximal, complemented
9#45140C212yesmaximal, complemented
10#45031C212yesmaximal, complemented
11#44970C212yesmaximal, complemented
12#44874C212yesmaximal, complemented
13#43094C214yesmaximal, complemented
14#42612C212yesmaximal, complemented
15#42575C212yesmaximal, complemented
16#40176C212yesmaximal, complemented
17#40049C212yesmaximal, complemented
18#39770C211yesmaximal, characteristic, complemented
19#39351C211yesmaximal, characteristic, complemented
20#39161C212yesmaximal, complemented
21#39147C211yesmaximal, characteristic, complemented
22#38941C211yesmaximal, characteristic, complemented
23#38250C212yesmaximal, complemented
24#36595C211yesmaximal, characteristic, complemented
25#36302C211yesmaximal, characteristic, complemented
26D4×#127C211yesmaximal, characteristic
27#35903C212yesmaximal, complemented
28#35713C212yesmaximal, complemented
29#35562C212yesmaximal, complemented
30#35536C212yesmaximal, complemented
31#34898C211yesmaximal, characteristic, complemented
32#34803C211yesmaximal, characteristic, complemented
33#34364C211yesmaximal, characteristic, complemented
34#34331C211yesmaximal, characteristic, complemented
35#34210C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yescomplemented
38C2×#554C2212yescomplemented
39C2×#551C2214yescomplemented
40C2×D42C2212yes—
41C2×D42C2212yes—
42C2×D42C2212yes—
43C2×#542C2212yescomplemented
44C22×#127C2211yescharacteristic
45C22×#127C2211yescharacteristic
46C2×#518C2212yescomplemented
47#2867C2211yescharacteristic
48#2861C2212yescomplemented
49#2858C2212yescomplemented
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2824C2214yescomplemented
53#2797C2214yescomplemented
54#2778C2214yescomplemented
55#2778C2214yescomplemented
56#2757C2214yescomplemented
57#2756C2214yescomplemented
58#2749C2214yescomplemented
59#2737C2214yescomplemented
60#2730C2214yescomplemented
61#2730C2214yescomplemented
62#2723C2214yescomplemented
63#2709C2214yescomplemented
64#2709C2214yescomplemented
65#2709C2214yescomplemented
66#2709C2214yescomplemented
67#2708C2214yescomplemented
68#2708C2214yescomplemented
69#2701C2214yescomplemented
70#2697C2214yescomplemented
71#2697C2214yescomplemented
72#2696C2214yescomplemented
73#2696C2214yescomplemented
74#2693C2214yescomplemented
75#2692C2214yescomplemented
76#2686C2214yescomplemented
77#2685C2214yescomplemented
78#2685C2214yescomplemented
79#2685C2214yescomplemented
80#2684C2214yescomplemented
81#2684C2214yescomplemented
82#2684C2214yescomplemented
83#2681C2214yescomplemented
84#2681C2214yescomplemented
85#2672C2214yescomplemented
86#2648C2214yescomplemented
87#2644C2212yescomplemented
88#2641C2212yescomplemented
89#2640C2212yescomplemented
90#2639C2214yescomplemented
91#2630C2214yescomplemented
92#2624C2212yescomplemented
93#2622C2214yescomplemented
94#2598C2214yescomplemented
95#2598C2214yescomplemented
96#2591C2214yescomplemented
97#2580C2212yescomplemented
98#2577C2212yescomplemented
99#2575C2212yescomplemented
100#2570C2211yescharacteristic, complemented
101#2566C2212yescomplemented
102#2565C2211yescharacteristic, complemented
103#2563C2212yescomplemented
104#2562C2211yescharacteristic
105#2559C2214yescomplemented
106#2557C2214yescomplemented
107#2552C2211yescharacteristic, complemented
108#2551C2211yescharacteristic, complemented
109#2548C2211yescharacteristic, complemented
110#2548C2211yescharacteristic, complemented
111#2548C2211yescharacteristic, complemented
112#2548C2211yescharacteristic, complemented
113#2548C2212yescomplemented
114#2548C2212yescomplemented
115#2544C2212yescomplemented
116#2544C2212yescomplemented
117#2544C2212yescomplemented
118#2544C2212yescomplemented
119#2544C2212yescomplemented
120#2544C2212yescomplemented
121#2544C2214yescomplemented
122#2542C2212yescomplemented
123#2542C2212yescomplemented
124#2541C2212yes—
125#2541C2212yes—
126#2541C2212yes—
127#2536C2211yescharacteristic
128#2533C2212yescomplemented
129#2531C2214yescomplemented
130#2527C2212yescomplemented
131#2524C2212yescomplemented
132#2523C2212yescomplemented
133#2514C2211yescharacteristic, complemented
134#2513C2212yescomplemented
135#2513C2212yescomplemented
136#2513C2212yescomplemented
137#2512C2212yescomplemented
138#2509C2211yescharacteristic, complemented
139#2500C2212yescomplemented
140#2499C2211yescharacteristic, complemented
141#2496C2211yescharacteristic, complemented
142#2496C2211yescharacteristic, complemented
143#2495C2211yescharacteristic, complemented
144#2492C2211yescharacteristic, complemented
145#2491C2212yescomplemented
146#2491C2212yescomplemented
147#2491C2212yescomplemented
148#2490C2212yescomplemented
149#2490C2212yescomplemented
150#2485C2211yescharacteristic
151#2476C2214yescomplemented
152#2476C2214yescomplemented
153#2472C2214yescomplemented
154#2472C2214yescomplemented
155#2472C2214yescomplemented
156#2472C2214yescomplemented
157#2472C2214yescomplemented
158#2472C2214yescomplemented
159#2471C2214yescomplemented
160#2471C2214yescomplemented
161#2468C2212yes—
162#2467C2214yescomplemented
163#2467C2214yescomplemented
164#2466C2212yes—
165#2463C2214yescomplemented
166#2463C2214yescomplemented
167#2463C2214yescomplemented
168#2459C2214yescomplemented
169#2454C2212yescomplemented
170#2452C2212yescomplemented
171#2452C2212yescomplemented
172#2452C2212yescomplemented
173#2452C2212yescomplemented
174#2449C2214yescomplemented
175#2448C2212yescomplemented
176#2445C2212yescomplemented
177#2445C2212yescomplemented
178#2445C2212yescomplemented
179#2445C2212yescomplemented
180#2445C2212yescomplemented
181#2445C2212yescomplemented
182#2445C2212yescomplemented
183#2445C2214yescomplemented
184#2445C2212yescomplemented
185#2445C2212yescomplemented
186#2445C2212yescomplemented
187#2444C2214yescomplemented
188#2443C2214yescomplemented
189#2443C2214yescomplemented
190#2439C2211yescharacteristic, complemented
191#2435C2214yes—
192#2435C2212yescomplemented
193#2435C2212yescomplemented
194#2435C2212yescomplemented
195#2435C2212yescomplemented
196#2433C2212yes—
197#2433C2212yes—
198#2433C2212yes—
199#2433C2212yes—
200#2433C2212yes—
201#2433C2212yes—
202#2427C2212yescomplemented
203#2427C2212yescomplemented
204#2426C2212yescomplemented
205#2425C2214yescomplemented
206#2423C2211yescharacteristic, complemented
207#2422C2212yescomplemented
208#2422C2212yescomplemented
209#2422C2212yescomplemented
210#2421C2211yescharacteristic, complemented
211#2420C2212yescomplemented
212#2418C2214yescomplemented
213#2418C2214yescomplemented
214#2418C2214yescomplemented
215#2418C2214yescomplemented
216#2418C2214yescomplemented
217#2415C2211yescharacteristic
218#2412C2214yescomplemented
219#2411C2214yescomplemented
220#2405C2214yes—
221#2405C2214yes—
222#2405C2214yescomplemented
223#2405C2214yescomplemented
224#2402C2212yescomplemented
225#2401C2212yescomplemented
226#2398C2212yes—
227#2395C2212yes—
228C2×#394C2214yes—
229#2380C2214yescomplemented
230#2367C2212yescomplemented
231#2367C2212yescomplemented
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic, complemented
236#2366C2211yescharacteristic, complemented
237#2366C2211yescharacteristic, complemented
238#2366C2212yescomplemented
239#2366C2212yescomplemented
240#2366C2212yescomplemented
241#2366C2211yescharacteristic, complemented
242#2363C2212yescomplemented
243#2359C2214yescomplemented
244#2355C2211yescharacteristic, complemented
245#2354C2212yescomplemented
246#2354C2212yescomplemented
247Q8×C4⋊C4C2211yescharacteristic, complemented
248#2349C2212yescomplemented
249D4×C4⋊C4C2212yescomplemented
250D4×C22⋊C4C2212yescomplemented
251D4×C22⋊C4C2212yescomplemented
252D4×C22⋊C4C2212yescomplemented
253D4×C22⋊C4C2212yescomplemented
254D4×C22⋊C4C2212yescomplemented
255D4×C22⋊C4C2212yescomplemented
256D4×C22⋊C4C2212yescomplemented
257D4×C22⋊C4C2212yescomplemented
258D4×C22⋊C4C2212yescomplemented
259D4×C22⋊C4C2212yescomplemented
260D4×C22⋊C4C2214yescomplemented
261#2335C2214yescomplemented
262#2328C2212yescomplemented
263#2328C2212yescomplemented
264#2328C2212yescomplemented
265#2328C2212yescomplemented
266#2328C2212yescomplemented
267#2328C2214yescomplemented
268#2326C2212yescomplemented
269#2326C2212yescomplemented
270#2321C2214yescomplemented
271#2319C2212yescomplemented
272#2309C2212yescomplemented
273#2308C2214yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#127C2212yescomplemented
277C4×#127C2212yescomplemented
278C4×#127C2212yescomplemented
279C4×#125C2211yescharacteristic, complemented
280C4×#126C2212yescomplemented
281C4×#126C2212yescomplemented
282C4×#124C2212yescomplemented
283C4×C22⋊Q8C2211yescharacteristic, complemented
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287#2298C2212yescomplemented
288#2295C2211yescharacteristic, complemented
289#2295C2212yescomplemented
290#2293C2212yescomplemented
291#2293C2212yescomplemented
292#2285C2211yescharacteristic, complemented
293#2283C2211yescharacteristic, complemented
294#2283C2211yescharacteristic, complemented
295#2275C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306#559—28no—
307#559—48no—
308#554—48no—
309#551—416no—
310D42—48no—
311D42—48no—
312D42—48no—
313#542—48no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127—28no—
318C2×#127—28no—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2311yescharacteristic
334C2×#126C2312yes—
335C2×#126C2312yes—
336C2×#126C2314yes—
337C2×#125C2311yescharacteristic
338C2×#125C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#124C2314yes—
347C2×#124C2312yes—
348C2×#124C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383#518—48no—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×#117C2312yes—
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2314yes—
422C2×#117C2314yes—
423C22×C4⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432#401C2312yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#399C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2312yes—
452#398C2312yes—
453#398C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#395C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
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#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2312yes—
527#393C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2312yes—
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2312yes—
726#383C2312yes—
727#383C2312yes—
728#383C2312yes—
729#383C2312yes—
730#382C2311yescharacteristic
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#381C2312yes—
738#381C2312yes—
739#381C2314yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2314yes—
755#380C2314yes—
756#379C2314yes—
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760#379C2314yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816#376C2312yes—
817C2×#95C2314yes—
818C43C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2414yes—
822C25C2414yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—48no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—48no—
845C22×D4—48no—
846C22×D4—82no—
847C22×D4—82no—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C4⋊Q8—42no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888#127—28no—
889#127—28no—
890#127—28no—
891#127—28no—
892#127—28no—
893#127—28no—
894#127—24no—
895#127—24no—
896#127—28no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—82no—
902#127#4118yes—
903#126—28no—
904#126—28no—
905#126—48no—
906#125—24no—
907#125—44no—
908#124—28no—
909#124—28no—
910#124—44no—
911#124—44no—
912#124—48no—
913#124—44no—
914#124—44no—
915#124—48no—
916#124—48no—
917#124—84no—
918#123—216no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—84no—
926#123—84no—
927C22⋊Q8—24no—
928C22⋊Q8—48no—
929C22⋊Q8—48no—
930C22⋊Q8—48no—
931C22⋊Q8—48no—
932C22⋊Q8—48no—
933C22⋊Q8—48no—
934C22⋊Q8—42no—
935C22⋊Q8—42no—
936C22⋊Q8—42no—
937#121—28no—
938#121—44no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#120—216no—
947#120—48no—
948#120—48no—
949#120—48no—
950#120—48no—
951#120—48no—
952C4×Q8—24no—
953C4×Q8—24no—
954C4×Q8—28no—
955C4×Q8—24no—
956C4×Q8—42no—
957C4×Q8—44no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—48no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—48no—
979C4×D4—48no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—48no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—84no—
986#117—24no—
987#117—28no—
988#117—48no—
989#117—48no—
990#117—42no—
991C2×C4⋊C4—48no—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C22⋊C4—48no—
1047C2×C22⋊C4—48no—
1048C2×C22⋊C4—48no—
1049C2×C22⋊C4—48no—
1050C2×C22⋊C4—84no—
1051C2×C22⋊C4—84no—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C42—24no—
1124C2×C42—24no—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220C24—28no—
1221C24—28no—
1222C24—28no—
1223C24—28no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24—44no—
1234C24C2514yes—
1235C24C2514yes—
1236C24C2514yes—
1237C24C2511yescharacteristic
1238C24C2511yescharacteristic
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—28no—
1256C2×D4—28no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—28no—
1271C2×D4—24no—
1272C2×D4—28no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—28no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—432no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—816no—
1316C2×D4—816no—
1317C2×D4—816no—
1318C2×D4—816no—
1319C2×D4—816no—
1320C2×D4—832no—
1321C2×D4C2×#4118yes—
1322C2×D4C2×#4118yes—
1323C2×D4C2×#4118yes—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—28no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—28no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4H(5,𝔽2)14yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—22no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4H(5,𝔽2)14yes—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—24no—
1544C42—22no—
1545C42—22no—
1546C42—42no—
1547C42—44no—
1548C42—42no—
1549C42—42no—
1550C42—44no—
1551C42—42no—
1552C42—41no—
1553C42C2×#4114yes—
1554C42H(5,𝔽2)14yes—
1555C23—21no—
1556C23—21no—
1557C23—24no—
1558C23—24no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—24no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—24no—
1569C23—24no—
1570C23—21no—
1571C23—21no—
1572C23—24no—
1573C23—24no—
1574C23—24no—
1575C23—24no—
1576C23—24no—
1577C23—24no—
1578C23—24no—
1579C23—24no—
1580C23—24no—
1581C23—24no—
1582C23—24no—
1583C23—24no—
1584C23—24no—
1585C23—24no—
1586C23—24no—
1587C23—416no—
1588C23—416no—
1589C23—88no—
1590C23—88no—
1591C23—88no—
1592C23—88no—
1593C23—88no—
1594C23—88no—
1595C23—88no—
1596C23—88no—
1597C23—164no—
1598C23—164no—
1599C23—164no—
1600C23—164no—
1601C23C22×#4118yes—
1602C23C2×H(5,𝔽2)12yes—
1603C23C2×H(5,𝔽2)12yes—
1604C23C2611yescharacteristic
1605Q8—44no—
1606Q8—44no—
1607Q8—84no—
1608Q8—164no—
1609D4—28no—
1610D4—216no—
1611D4—216no—
1612D4—48no—
1613D4—416no—
1614D4—416no—
1615D4—48no—
1616D4—48no—
1617D4—48no—
1618D4—48no—
1619D4—88no—
1620D4—88no—
1621D4—84no—
1622D4—84no—
1623D4—88no—
1624D4—88no—
1625D4—88no—
1626D4—88no—
1627D4—88no—
1628D4—88no—
1629D4—88no—
1630D4—164no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—28no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—88no—
1716C2×C4—88no—
1717C2×C4—88no—
1718C2×C4—88no—
1719C2×C4—164no—
1720C2×C4—164no—
1721C2×C4—164no—
1722C2×C4—164no—
1723C2×C4—164no—
1724C2×C4C22×#4112yes—
1725C2×C4C22×#4112yes—
1726C2×C4C22×#4112yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4#58512yes—
1735C2×C4#58512yes—
1736C22—22no—
1737C22—28no—
1738C22—22no—
1739C22—22no—
1740C22—28no—
1741C22—28no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—41no—
1746C22—44no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—44no—
1752C22—44no—
1753C22—41no—
1754C22—41no—
1755C22—44no—
1756C22—41no—
1757C22—44no—
1758C22—44no—
1759C22—44no—
1760C22—44no—
1761C22—44no—
1762C22—44no—
1763C22—44no—
1764C22—44no—
1765C22—44no—
1766C22—44no—
1767C22—44no—
1768C22—44no—
1769C22—44no—
1770C22—44no—
1771C22—1616no—
1772C22—1616no—
1773C22C23×#4111yescharacteristic
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C22×H(5,𝔽2)11yescharacteristic
1776C22C22×H(5,𝔽2)11yescharacteristic
1777C22C2×#58511yescharacteristic
1778C22C2×#58511yescharacteristic
1779C22H(7,𝔽2)11yescharacteristic
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C4—41no—
1792C4—42no—
1793C4—41no—
1794C4—41no—
1795C4—42no—
1796C4—44no—
1797C4—42no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—41no—
1808C4#351314yes—
1809C4#351414yes—
1810C2—48no—
1811C2—42no—
1812C2—42no—
1813C2—84no—
1814C2—84no—
1815C2C2×#351311yescharacteristic
1816C2C2×#351411yescharacteristic
1817C2#6283211yescharacteristic
1818C2#6295511yescharacteristic
1819C2#6296111yescharacteristic
1820C2#6298311yescharacteristic
1821C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalD4×#127C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59476C2semidirect
2. #59476C2semidirect
3. #59458C2semidirect
4. #59143C2semidirect
5. #59143C2semidirect
6. #50346C2semidirect
7. #48553C2semidirect
8. #46473C2semidirect
9. #45140C2semidirect
10. #45031C2semidirect
11. #44970C2semidirect
12. #44874C2semidirect
13. #43094C2semidirect
14. #42612C2semidirect
15. #42575C2semidirect
16. #40176C2semidirect
17. #40049C2semidirect
18. #39770C2semidirect
19. #39351C2semidirect
20. #39161C2semidirect
21. #39147C2semidirect
22. #38941C2semidirect
23. #38250C2semidirect
24. #36595C2semidirect
25. #36302C2semidirect
27. #35903C2semidirect
28. #35713C2semidirect
29. #35562C2semidirect
30. #35536C2semidirect
31. #34898C2semidirect
32. #34803C2semidirect
33. #34364C2semidirect
34. #34331C2semidirect
35. #34210C2semidirect
37. C2×#559C22semidirect
38. C2×#554C22semidirect
39. C2×#551C22semidirect
43. C2×#542C22semidirect
46. C2×#518C22semidirect
48. #2861C22semidirect
49. #2858C22semidirect
52. #2824C22semidirect
53. #2797C22semidirect
54. #2778C22semidirect
55. #2778C22semidirect
56. #2757C22semidirect
57. #2756C22semidirect
58. #2749C22semidirect
59. #2737C22semidirect
60. #2730C22semidirect
61. #2730C22semidirect
62. #2723C22semidirect
63. #2709C22semidirect
64. #2709C22semidirect
65. #2709C22semidirect
66. #2709C22semidirect
67. #2708C22semidirect
68. #2708C22semidirect
69. #2701C22semidirect
70. #2697C22semidirect
71. #2697C22semidirect
72. #2696C22semidirect
73. #2696C22semidirect
74. #2693C22semidirect
75. #2692C22semidirect
76. #2686C22semidirect
77. #2685C22semidirect
78. #2685C22semidirect
79. #2685C22semidirect
80. #2684C22semidirect
81. #2684C22semidirect
82. #2684C22semidirect
83. #2681C22semidirect
84. #2681C22semidirect
85. #2672C22semidirect
86. #2648C22semidirect
87. #2644C22semidirect
88. #2641C22semidirect
89. #2640C22semidirect
90. #2639C22semidirect
91. #2630C22semidirect
92. #2624C22semidirect
93. #2622C22semidirect
94. #2598C22semidirect
95. #2598C22semidirect
96. #2591C22semidirect
97. #2580C22semidirect
98. #2577C22semidirect
99. #2575C22semidirect
100. #2570C22semidirect
101. #2566C22semidirect
102. #2565C22semidirect
103. #2563C22semidirect
105. #2559C22semidirect
106. #2557C22semidirect
107. #2552C22semidirect
108. #2551C22semidirect
109. #2548C22semidirect
110. #2548C22semidirect
111. #2548C22semidirect
112. #2548C22semidirect
113. #2548C22semidirect
114. #2548C22semidirect
115. #2544C22semidirect
116. #2544C22semidirect
117. #2544C22semidirect
118. #2544C22semidirect
119. #2544C22semidirect
120. #2544C22semidirect
121. #2544C22semidirect
122. #2542C22semidirect
123. #2542C22semidirect
128. #2533C22semidirect
129. #2531C22semidirect
130. #2527C22semidirect
131. #2524C22semidirect
132. #2523C22semidirect
133. #2514C22semidirect
134. #2513C22semidirect
135. #2513C22semidirect
136. #2513C22semidirect
137. #2512C22semidirect
138. #2509C22semidirect
139. #2500C22semidirect
140. #2499C22semidirect
141. #2496C22semidirect
142. #2496C22semidirect
143. #2495C22semidirect
144. #2492C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
147. #2491C22semidirect
148. #2490C22semidirect
149. #2490C22semidirect
151. #2476C22semidirect
152. #2476C22semidirect
153. #2472C22semidirect
154. #2472C22semidirect
155. #2472C22semidirect
156. #2472C22semidirect
157. #2472C22semidirect
158. #2472C22semidirect
159. #2471C22semidirect
160. #2471C22semidirect
162. #2467C22semidirect
163. #2467C22semidirect
165. #2463C22semidirect
166. #2463C22semidirect
167. #2463C22semidirect
168. #2459C22semidirect
169. #2454C22semidirect
170. #2452C22semidirect
171. #2452C22semidirect
172. #2452C22semidirect
173. #2452C22semidirect
174. #2449C22semidirect
175. #2448C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2445C22semidirect
184. #2445C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
187. #2444C22semidirect
188. #2443C22semidirect
189. #2443C22semidirect
190. #2439C22semidirect
192. #2435C22semidirect
193. #2435C22semidirect
194. #2435C22semidirect
195. #2435C22semidirect
202. #2427C22semidirect
203. #2427C22semidirect
204. #2426C22semidirect
205. #2425C22semidirect
206. #2423C22semidirect
207. #2422C22semidirect
208. #2422C22semidirect
209. #2422C22semidirect
210. #2421C22semidirect
211. #2420C22semidirect
212. #2418C22semidirect
213. #2418C22semidirect
214. #2418C22semidirect
215. #2418C22semidirect
216. #2418C22semidirect
218. #2412C22semidirect
219. #2411C22semidirect
222. #2405C22semidirect
223. #2405C22semidirect
224. #2402C22semidirect
225. #2401C22semidirect
229. #2380C22semidirect
230. #2367C22semidirect
231. #2367C22semidirect
235. #2366C22semidirect
236. #2366C22semidirect
237. #2366C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
240. #2366C22semidirect
241. #2366C22semidirect
242. #2363C22semidirect
243. #2359C22semidirect
244. #2355C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. Q8×C4⋊C4C22semidirect
248. #2349C22semidirect
249. D4×C4⋊C4C22semidirect
250. D4×C22⋊C4C22semidirect
251. D4×C22⋊C4C22semidirect
252. D4×C22⋊C4C22semidirect
253. D4×C22⋊C4C22semidirect
254. D4×C22⋊C4C22semidirect
255. D4×C22⋊C4C22semidirect
256. D4×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. D4×C22⋊C4C22semidirect
260. D4×C22⋊C4C22semidirect
261. #2335C22semidirect
262. #2328C22semidirect
263. #2328C22semidirect
264. #2328C22semidirect
265. #2328C22semidirect
266. #2328C22semidirect
267. #2328C22semidirect
268. #2326C22semidirect
269. #2326C22semidirect
270. #2321C22semidirect
271. #2319C22semidirect
272. #2309C22semidirect
273. #2308C22semidirect
274. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
277. C4×#127C22semidirect
278. C4×#127C22semidirect
279. C4×#125C22semidirect
280. C4×#126C22semidirect
281. C4×#126C22semidirect
282. C4×#124C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. #2298C22semidirect
288. #2295C22semidirect
289. #2295C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2285C22semidirect
293. #2283C22semidirect
294. #2283C22semidirect
295. #2275C22semidirect
296. C42×Q8C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#594762
#594582
#591432
#503462
#485532
#464732
#451402
#450312
#449702
#448742
#430942
#426122
#425752
#401762
#400492
#397702
#393512
#391612
#391472
#389412
#382502
#365952
#363022
D4×#1272
#359032
#357132
#355622
#355362
#348982
#348032
#343642
#343312
#342102