Finite Group Databasebeta

← #7632773

Subgroups — #7632773

Order 512.

5200 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36527C212yesmaximal, complemented
2#36454C212yesmaximal, complemented
3#36253C212yesmaximal, complemented
4#36245C214yesmaximal, complemented
5#36175C212yesmaximal, complemented
6#36169C214yesmaximal, complemented
7#35973C212yesmaximal, complemented
8#35973C212yesmaximal, complemented
9#35970C212yesmaximal, complemented
10#35860C212yesmaximal, complemented
11#35795C214yesmaximal, complemented
12#35794C214yesmaximal, complemented
13#35631C212yesmaximal, complemented
14#35630C211yesmaximal, characteristic, complemented
15#35617C211yesmaximal, characteristic
16#35595C212yesmaximal, complemented
17#35548C212yesmaximal, complemented
18#35547C212yesmaximal, complemented
19#35545C211yesmaximal, characteristic, complemented
20#35529C211yesmaximal, characteristic, complemented
21#35312C211yesmaximal, characteristic, complemented
22#35214C212yesmaximal, complemented
23#35203C212yesmaximal, complemented
24#35152C211yesmaximal, characteristic
25#34969C212yesmaximal, complemented
26#34913C212yesmaximal, complemented
27#34815C211yesmaximal, characteristic, complemented
28C2×#2447C211yesmaximal, characteristic, complemented
29#34272C211yesmaximal, characteristic, complemented
30#34269C211yesmaximal, characteristic
31#34268C211yesmaximal, characteristic, complemented
32#34254C211yesmaximal, characteristic, complemented
33#34211C211yesmaximal, characteristic, complemented
34#34121C211yesmaximal, characteristic, complemented
35C4×#518C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2862C2212yescomplemented
46#2861C2212yescomplemented
47#2855C2214yescomplemented
48#2853C2214yescomplemented
49#2852C2214yescomplemented
50#2851C2214yescomplemented
51#2849C2214yes—
52#2653C2214yescomplemented
53#2652C2214yescomplemented
54#2652C2214yescomplemented
55#2649C2214yescomplemented
56#2642C2212yescomplemented
57#2640C2212yescomplemented
58#2622C2214yes—
59#2597C2214yescomplemented
60#2595C2214yescomplemented
61#2578C2214yescomplemented
62#2578C2214yescomplemented
63#2577C2214yescomplemented
64#2577C2214yescomplemented
65#2576C2214yescomplemented
66#2576C2214yescomplemented
67#2575C2214yescomplemented
68#2575C2214yescomplemented
69#2573C2214yescomplemented
70#2573C2214yescomplemented
71#2572C2214yescomplemented
72#2566C2212yes—
73#2566C2212yes—
74#2563C2212yes—
75#2560C2214yescomplemented
76#2558C2214yescomplemented
77#2553C2214yescomplemented
78#2547C2212yes—
79#2547C2212yes—
80#2544C2212yes—
81#2544C2212yes—
82#2542C2212yes—
83#2531C2214yescomplemented
84#2530C2214yescomplemented
85#2530C2214yescomplemented
86#2527C2214yescomplemented
87#2527C2214yescomplemented
88#2526C2214yescomplemented
89#2523C2214yescomplemented
90#2523C2214yescomplemented
91#2518C2214yescomplemented
92#2518C2214yescomplemented
93#2517C2214yescomplemented
94#2517C2214yescomplemented
95#2516C2214yescomplemented
96#2515C2214yescomplemented
97#2515C2214yescomplemented
98#2514C2212yescomplemented
99#2514C2212yescomplemented
100#2514C2212yescomplemented
101#2514C2212yescomplemented
102#2514C2212yescomplemented
103#2513C2212yescomplemented
104#2512C2212yescomplemented
105#2511C2212yescomplemented
106#2511C2212yescomplemented
107#2511C2212yescomplemented
108#2511C2212yescomplemented
109#2511C2212yescomplemented
110#2510C2214yes—
111#2510C2214yescomplemented
112#2509C2211yescharacteristic, complemented
113#2509C2211yescharacteristic, complemented
114#2508C2211yescharacteristic, complemented
115#2508C2211yescharacteristic, complemented
116#2507C2211yescharacteristic, complemented
117#2507C2211yescharacteristic, complemented
118#2506C2211yescharacteristic, complemented
119#2506C2211yescharacteristic, complemented
120#2505C2212yes—
121#2505C2212yes—
122#2505C2214yescomplemented
123#2505C2214yescomplemented
124#2497C2212yescomplemented
125#2496C2212yescomplemented
126#2495C2212yescomplemented
127#2495C2214yescomplemented
128#2494C2214yescomplemented
129#2494C2212yescomplemented
130#2493C2214yes—
131#2493C2214yes—
132#2493C2214yescomplemented
133#2493C2214yescomplemented
134#2492C2212yescomplemented
135#2492C2212yescomplemented
136#2489C2212yescomplemented
137#2489C2212yescomplemented
138#2489C2214yescomplemented
139#2488C2214yes—
140#2488C2214yes—
141#2488C2214yescomplemented
142#2481C2214yes—
143#2477C2214yescomplemented
144#2473C2212yes—
145#2473C2212yes—
146#2470C2214yescomplemented
147#2466C2214yescomplemented
148#2460C2214yescomplemented
149#2458C2214yescomplemented
150#2454C2212yes—
151#2454C2212yes—
152#2452C2212yes—
153#2452C2212yes—
154#2450C2214yescomplemented
155#2447C2212yes—
156#2447C2212yes—
157#2447C2212yes—
158#2447C2212yes—
159#2447C2212yes—
160#2447C2212yes—
161#2447C2212yes—
162#2447C2212yes—
163#2447C2212yes—
164#2447C2212yes—
165#2445C2212yes—
166#2445C2212yes—
167#2437C2214yes—
168#2437C2214yes—
169#2427C2212yes—
170#2427C2212yes—
171#2427C2212yes—
172#2427C2212yes—
173#2422C2212yes—
174#2422C2212yes—
175#2421C2214yescomplemented
176#2420C2212yes—
177#2420C2212yes—
178#2419C2214yescomplemented
179#2412C2214yes—
180#2412C2214yes—
181#2402C2212yescomplemented
182#2402C2212yescomplemented
183#2401C2214yescomplemented
184#2401C2214yescomplemented
185#2398C2214yescomplemented
186#2395C2214yescomplemented
187C2×#397C2212yes—
188C2×#397C2212yes—
189#2370C2212yescomplemented
190#2370C2212yescomplemented
191#2369C2212yescomplemented
192#2368C2214yes—
193#2367C2212yes—
194#2367C2212yes—
195#2367C2212yes—
196#2367C2212yes—
197#2367C2212yes—
198#2367C2212yes—
199#2367C2212yescomplemented
200#2367C2212yescomplemented
201#2366C2212yes—
202#2366C2212yes—
203#2365C2212yescomplemented
204#2365C2212yescomplemented
205#2365C2212yescomplemented
206#2360C2214yes—
207#2359C2214yes—
208#2359C2214yes—
209#2358C2214yes—
210#2358C2214yes—
211#2357C2211yescharacteristic, complemented
212#2357C2211yescharacteristic, complemented
213#2356C2211yescharacteristic, complemented
214#2356C2211yescharacteristic, complemented
215#2356C2212yescomplemented
216#2356C2212yescomplemented
217#2355C2212yescomplemented
218#2355C2211yescharacteristic, complemented
219#2355C2211yescharacteristic, complemented
220#2355C2212yescomplemented
221#2354C2211yescharacteristic, complemented
222#2354C2211yescharacteristic, complemented
223#2353C2212yes—
224#2353C2212yes—
225#2352C2212yes—
226#2352C2212yes—
227#2343C2214yes—
228#2343C2214yes—
229#2342C2214yes—
230#2342C2214yes—
231#2331C2212yescomplemented
232#2330C2212yescomplemented
233#2326C2212yes—
234#2326C2212yes—
235#2324C2212yes—
236#2324C2212yes—
237#2323C2212yescomplemented
238#2323C2212yescomplemented
239#2320C2212yescomplemented
240#2320C2212yescomplemented
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2311C2211yescharacteristic
244#2311C2211yescharacteristic
245#2310C2211yescharacteristic
246#2310C2211yescharacteristic
247#2309C2211yescharacteristic
248C4×C4⋊Q8C2212yescomplemented
249C4×#125C2212yescomplemented
250C4×#125C2212yescomplemented
251C4×#125C2212yescomplemented
252C4×#124C2212yes—
253C4×#124C2212yes—
254C4×C22⋊Q8C2212yescomplemented
255C4×C22⋊Q8C2214yescomplemented
256C4×C22⋊Q8C2212yescomplemented
257C4×#123C2214yescomplemented
258C4×#121C2212yes—
259C4×#121C2212yes—
260#2298C2212yescomplemented
261#2298C2212yescomplemented
262#2297C2211yescharacteristic
263#2297C2211yescharacteristic
264#2296C2211yescharacteristic
265#2296C2211yescharacteristic
266#2296C2211yescharacteristic
267#2296C2211yescharacteristic
268#2295C2212yescomplemented
269#2295C2212yescomplemented
270C2×#391C2211yescharacteristic
271C2×#391C2211yescharacteristic
272C2×#390C2211yescharacteristic
273C2×#389C2211yescharacteristic
274#2290C2214yescomplemented
275C2×#385C2212yes—
276#2285C2211yescharacteristic
277#2285C2211yescharacteristic
278#2283C2212yescomplemented
279#2283C2214yescomplemented
280C2×#381C2212yes—
281#2275C2212yes—
282#2275C2212yes—
283#2275C2212yes—
284#2275C2212yes—
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2273C2214yes—
289C42×D4C2212yes—
290C42×D4C2212yes—
291C42×D4C2212yes—
292C42×D4C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2214yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#544—28no—
304#536—28no—
305#535—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2312yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124—28no—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#120C2314yes—
333#519—28no—
334#518—28no—
335#518—28no—
336C4×#41—28no—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2314yes—
344C2×C4×D4—28no—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2314yes—
391C22×C42C2314yes—
392#401C2314yes—
393#401C2314yes—
394#401C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2314yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#390C2314yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#387C2314yes—
572#387C2312yes—
573#387C2312yes—
574#387C2314yes—
575#387C2312yes—
576#387C2314yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2312yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#383C2314yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2312yes—
670#383C2312yes—
671#382C2312yes—
672#382C2312yes—
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2312yes—
676#382C2311yescharacteristic
677#382C2314yes—
678#382C2314yes—
679#382C2314yes—
680#382C2314yes—
681#382C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2311yescharacteristic
685#381C2314yes—
686#381C2314yes—
687#381C2312yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#381C2312yes—
694#381C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2314yes—
702#380C2314yes—
703#380C2312yes—
704#380C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#379C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2311yescharacteristic
810C2×#95C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4#4118yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4—28no—
840C23×C4—44no—
841C23×C4—82no—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C4⋊Q8—28no—
862C4⋊Q8—28no—
863C4⋊Q8—28no—
864#127—28no—
865#126—84no—
866#125—28no—
867#125—28no—
868#125—44no—
869#125—44no—
870#124—28no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—28no—
875#124—28no—
876#123—216no—
877#123—48no—
878#123—84no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—216no—
882C22⋊Q8—48no—
883C22⋊Q8—84no—
884#121—28no—
885#121—28no—
886#120—216no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—84no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—48no—
911C4×D4—84no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—216no—
918#117—28no—
919#117—44no—
920#117—44no—
921#117#4118yes—
922#117#4118yes—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—42no—
926C2×C4⋊C4—42no—
927C2×C4⋊C4—82no—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4—28no—
994C2×C22⋊C4—28no—
995C2×C22⋊C4—28no—
996C2×C22⋊C4—216no—
997C2×C22⋊C4—216no—
998C2×C22⋊C4—44no—
999C2×C22⋊C4—82no—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—24no—
1044C2×C42—24no—
1045C2×C42—24no—
1046C2×C42—28no—
1047C2×C42—48no—
1048C2×C42—84no—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174C24—24no—
1175C24—24no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24C2×#4118yes—
1181C24C2512yes—
1182C24C2514yes—
1183C24C2511yescharacteristic
1184#41—416no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—28no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×Q8—416no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—232no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4C2×#4118yes—
1216C2×D4C2×#4118yes—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—28no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—44no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—816no—
1272C22×C4C2×#4114yes—
1273C22×C4C2×#4114yes—
1274C22×C4C2×#4114yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2514yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4C2×#4114yes—
1370C4⋊C4C2×#4114yes—
1371C4⋊C4C2×#4114yes—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4C2×#4118yes—
1414C22⋊C4C2×#4118yes—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—28no—
1433C42—28no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—44no—
1439C42—44no—
1440C42—42no—
1441C42—42no—
1442C42—44no—
1443C42—44no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—44no—
1451C42—44no—
1452C42—42no—
1453C42—42no—
1454C42C2×#4118yes—
1455C42C2×#4118yes—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—24no—
1461C23—24no—
1462C23—24no—
1463C23—24no—
1464C23—24no—
1465C23—24no—
1466C23—216no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—48no—
1475C23—48no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23C22×#4118yes—
1481C23C22×#4112yes—
1482C23C22×#4112yes—
1483C23C22×#4112yes—
1484C23C2611yescharacteristic
1485Q8—48no—
1486Q8—48no—
1487Q8—44no—
1488Q8—88no—
1489D4—216no—
1490D4—216no—
1491D4—48no—
1492D4—44no—
1493D4—88no—
1494D4—88no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—416no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—84no—
1590C2×C4—82no—
1591C2×C4—82no—
1592C2×C4—82no—
1593C2×C4—84no—
1594C2×C4—82no—
1595C2×C4—84no—
1596C2×C4—88no—
1597C2×C4#529116yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—28no—
1617C22—28no—
1618C22—28no—
1619C22—44no—
1620C22—44no—
1621C22—44no—
1622C22—44no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—816no—
1631C22C2×#52914yes—
1632C22C23×#4111yescharacteristic
1633C22C23×#4111yescharacteristic
1634C22C23×#4111yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22H(7,𝔽2)11yescharacteristic
1638C222−1+611yescharacteristic
1639C4—22no—
1640C4—24no—
1641C4—24no—
1642C4—22no—
1643C4—24no—
1644C4—24no—
1645C4—44no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—44no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—44no—
1669C4C2×#52914yes—
1670C4C2×#52914yes—
1671C2—24no—
1672C2—48no—
1673C2—82no—
1674C2C22×#52911yescharacteristic
1675C2#6281011yescharacteristic
1676C2#6285711yescharacteristic
1677C2#6299011yescharacteristic
1678C2#6299111yescharacteristic
1679C2#6299511yescharacteristic
1680C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36527C2semidirect
2. #36454C2semidirect
3. #36253C2semidirect
4. #36245C2semidirect
5. #36175C2semidirect
6. #36169C2semidirect
7. #35973C2semidirect
8. #35973C2semidirect
9. #35970C2semidirect
10. #35860C2semidirect
11. #35795C2semidirect
12. #35794C2semidirect
13. #35631C2semidirect
14. #35630C2semidirect
16. #35595C2semidirect
17. #35548C2semidirect
18. #35547C2semidirect
19. #35545C2semidirect
20. #35529C2semidirect
21. #35312C2semidirect
22. #35214C2semidirect
23. #35203C2semidirect
25. #34969C2semidirect
26. #34913C2semidirect
27. #34815C2semidirect
28. C2×#2447C2semidirect
29. #34272C2semidirect
31. #34268C2semidirect
32. #34254C2semidirect
33. #34211C2semidirect
34. #34121C2semidirect
35. C4×#518C2semidirect
45. #2862C22semidirect
46. #2861C22semidirect
47. #2855C22semidirect
48. #2853C22semidirect
49. #2852C22semidirect
50. #2851C22semidirect
52. #2653C22semidirect
53. #2652C22semidirect
54. #2652C22semidirect
55. #2649C22semidirect
56. #2642C22semidirect
57. #2640C22semidirect
59. #2597C22semidirect
60. #2595C22semidirect
61. #2578C22semidirect
62. #2578C22semidirect
63. #2577C22semidirect
64. #2577C22semidirect
65. #2576C22semidirect
66. #2576C22semidirect
67. #2575C22semidirect
68. #2575C22semidirect
69. #2573C22semidirect
70. #2573C22semidirect
71. #2572C22semidirect
75. #2560C22semidirect
76. #2558C22semidirect
77. #2553C22semidirect
83. #2531C22semidirect
84. #2530C22semidirect
85. #2530C22semidirect
86. #2527C22semidirect
87. #2527C22semidirect
88. #2526C22semidirect
89. #2523C22semidirect
90. #2523C22semidirect
91. #2518C22semidirect
92. #2518C22semidirect
93. #2517C22semidirect
94. #2517C22semidirect
95. #2516C22semidirect
96. #2515C22semidirect
97. #2515C22semidirect
98. #2514C22semidirect
99. #2514C22semidirect
100. #2514C22semidirect
101. #2514C22semidirect
102. #2514C22semidirect
103. #2513C22semidirect
104. #2512C22semidirect
105. #2511C22semidirect
106. #2511C22semidirect
107. #2511C22semidirect
108. #2511C22semidirect
109. #2511C22semidirect
111. #2510C22semidirect
112. #2509C22semidirect
113. #2509C22semidirect
114. #2508C22semidirect
115. #2508C22semidirect
116. #2507C22semidirect
117. #2507C22semidirect
118. #2506C22semidirect
119. #2506C22semidirect
122. #2505C22semidirect
123. #2505C22semidirect
124. #2497C22semidirect
125. #2496C22semidirect
126. #2495C22semidirect
127. #2495C22semidirect
128. #2494C22semidirect
129. #2494C22semidirect
132. #2493C22semidirect
133. #2493C22semidirect
134. #2492C22semidirect
135. #2492C22semidirect
136. #2489C22semidirect
137. #2489C22semidirect
138. #2489C22semidirect
141. #2488C22semidirect
143. #2477C22semidirect
146. #2470C22semidirect
147. #2466C22semidirect
148. #2460C22semidirect
149. #2458C22semidirect
154. #2450C22semidirect
175. #2421C22semidirect
178. #2419C22semidirect
181. #2402C22semidirect
182. #2402C22semidirect
183. #2401C22semidirect
184. #2401C22semidirect
185. #2398C22semidirect
186. #2395C22semidirect
189. #2370C22semidirect
190. #2370C22semidirect
191. #2369C22semidirect
199. #2367C22semidirect
200. #2367C22semidirect
203. #2365C22semidirect
204. #2365C22semidirect
205. #2365C22semidirect
211. #2357C22semidirect
212. #2357C22semidirect
213. #2356C22semidirect
214. #2356C22semidirect
215. #2356C22semidirect
216. #2356C22semidirect
217. #2355C22semidirect
218. #2355C22semidirect
219. #2355C22semidirect
220. #2355C22semidirect
221. #2354C22semidirect
222. #2354C22semidirect
231. #2331C22semidirect
232. #2330C22semidirect
237. #2323C22semidirect
238. #2323C22semidirect
239. #2320C22semidirect
240. #2320C22semidirect
248. C4×C4⋊Q8C22semidirect
249. C4×#125C22semidirect
250. C4×#125C22semidirect
251. C4×#125C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×#123C22semidirect
260. #2298C22semidirect
261. #2298C22semidirect
268. #2295C22semidirect
269. #2295C22semidirect
274. #2290C22semidirect
278. #2283C22semidirect
279. #2283C22semidirect
296. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#365272
#364542
#362532
#362452
#361752
#361692
#359732
#359702
#358602
#357952
#357942
#356312
#356302
#356172
#355952
#355482
#355472
#355452
#355292
#353122
#352142
#352032
#351522
#349692
#349132
#348152
C2×#24472
#342722
#342692
#342682
#342542
#342112
#341212
C4×#5182