Finite Group Databasebeta

← #7679799

Subgroups — #7679799

Order 512.

5327 conjugacy classes of subgroups.

The subgroup lattice has 1767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59854C212yesmaximal, complemented
2#59770C212yesmaximal, complemented
3#59401C212yesmaximal, complemented
4#59374C212yesmaximal, complemented
5#59282C212yesmaximal, complemented
6#59236C212yesmaximal, complemented
7#59110C212yesmaximal, complemented
8#59033C212yesmaximal, complemented
9#44437C214yesmaximal, complemented
10#44337C214yesmaximal, complemented
11#43190C214yesmaximal, complemented
12#43182C214yesmaximal, complemented
13#39275C212yesmaximal, complemented
14#39256C212yesmaximal, complemented
15#39182C211yesmaximal, characteristic, complemented
16#39169C211yesmaximal, characteristic, complemented
17#39158C211yesmaximal, characteristic, complemented
18#39152C212yesmaximal, complemented
19#39148C211yesmaximal, characteristic, complemented
20#39148C212yesmaximal, complemented
21#36492C211yesmaximal, characteristic, complemented
22#36468C211yesmaximal, characteristic, complemented
23#36463C211yesmaximal, characteristic, complemented
24#36455C211yesmaximal, characteristic, complemented
25#35571C212yesmaximal, complemented
26#35552C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35271C212yesmaximal, complemented
29#34943C211yesmaximal, characteristic, complemented
30#34925C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34330C211yesmaximal, characteristic, complemented
33#34222C212yesmaximal, complemented
34#34123C211yesmaximal, characteristic, complemented
35C4×#540C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2212yes—
40C2×#540C2211yescharacteristic
41C2×#532C2212yes—
42C2×#532C2212yes—
43C2×C4×#41C2211yescharacteristic
44#2859C2211yescharacteristic
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2212yes—
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2854C2212yes—
51#2851C2212yes—
52#2805C2214yes—
53#2803C2214yes—
54#2786C2214yes—
55#2783C2214yes—
56#2778C2214yes—
57#2775C2214yes—
58#2759C2214yes—
59#2756C2214yes—
60#2755C2214yes—
61#2751C2214yes—
62#2749C2214yes—
63#2749C2214yes—
64#2749C2214yes—
65#2746C2214yes—
66#2715C2214yes—
67#2710C2214yes—
68#2709C2214yes—
69#2700C2214yes—
70#2688C2214yes—
71#2688C2214yes—
72#2688C2214yes—
73#2688C2214yes—
74#2676C2214yes—
75#2676C2214yes—
76#2647C2212yes—
77#2644C2212yes—
78#2644C2212yes—
79#2644C2212yes—
80#2641C2212yes—
81#2624C2212yes—
82#2602C2214yes—
83#2602C2214yes—
84#2600C2214yes—
85#2591C2214yes—
86#2578C2214yes—
87#2576C2214yes—
88#2573C2214yes—
89#2572C2214yes—
90#2571C2211yescharacteristic
91#2571C2212yes—
92#2568C2212yes—
93#2566C2212yes—
94#2563C2211yescharacteristic
95#2563C2211yescharacteristic
96#2562C2212yes—
97#2562C2212yes—
98#2559C2214yes—
99#2559C2214yes—
100#2557C2214yes—
101#2557C2214yes—
102#2555C2214yes—
103#2555C2214yes—
104#2551C2211yescharacteristic
105#2550C2212yes—
106#2550C2212yes—
107#2547C2212yes—
108#2544C2214yes—
109#2543C2214yes—
110#2541C2211yescharacteristic
111#2541C2212yes—
112#2541C2212yes—
113#2541C2211yescharacteristic
114#2537C2212yes—
115#2537C2211yescharacteristic
116#2537C2211yescharacteristic
117#2535C2212yes—
118#2535C2214yes—
119#2535C2212yes—
120#2535C2212yes—
121#2531C2214yes—
122#2531C2214yes—
123#2530C2214yes—
124#2526C2214yes—
125#2526C2214yes—
126#2526C2214yes—
127#2523C2214yes—
128#2518C2214yes—
129#2516C2214yes—
130#2513C2212yes—
131#2513C2212yes—
132#2508C2212yes—
133#2504C2214yes—
134#2504C2212yes—
135#2496C2212yes—
136#2495C2212yes—
137#2495C2212yes—
138#2494C2212yes—
139#2494C2212yes—
140#2493C2214yes—
141#2491C2212yes—
142#2491C2212yes—
143#2491C2212yes—
144#2490C2212yes—
145#2490C2212yes—
146#2485C2212yes—
147#2477C2214yes—
148#2466C2214yes—
149#2466C2214yes—
150#2464C2214yes—
151#2464C2214yes—
152#2463C2214yes—
153#2459C2214yes—
154#2459C2214yes—
155#2454C2212yes—
156#2453C2212yes—
157#2448C2212yes—
158#2447C2214yes—
159#2447C2212yes—
160#2445C2212yes—
161#2444C2214yes—
162#2444C2214yes—
163#2444C2214yes—
164#2443C2214yes—
165#2439C2212yes—
166#2431C2214yes—
167#2430C2214yes—
168#2428C2212yes—
169#2428C2212yes—
170#2428C2212yes—
171#2428C2212yes—
172#2428C2214yes—
173#2428C2212yes—
174#2428C2214yes—
175#2427C2212yes—
176#2426C2212yes—
177#2425C2214yes—
178#2425C2214yes—
179#2421C2212yes—
180#2420C2212yes—
181#2420C2214yes—
182#2420C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2420C2212yes—
186#2420C2212yes—
187#2416C2212yes—
188#2416C2212yes—
189#2416C2212yes—
190#2416C2214yes—
191#2414C2214yes—
192#2414C2212yes—
193#2407C2212yes—
194#2407C2212yes—
195#2407C2212yes—
196#2398C2214yes—
197#2388C2214yes—
198#2372C2214yes—
199#2372C2214yes—
200#2370C2212yes—
201#2369C2211yescharacteristic
202#2366C2212yes—
203#2366C2212yes—
204#2366C2211yescharacteristic
205#2364C2214yes—
206#2364C2214yes—
207#2364C2214yes—
208#2363C2212yes—
209#2361C2212yes—
210#2360C2214yes—
211#2360C2212yes—
212#2357C2212yes—
213#2357C2212yes—
214#2356C2211yescharacteristic
215#2356C2211yescharacteristic
216#2355C2211yescharacteristic
217#2354C2211yescharacteristic
218#2353C2212yes—
219#2353C2212yes—
220#2353C2214yes—
221#2353C2214yes—
222#2352C2212yes—
223#2352C2212yes—
224Q8×C4⋊C4C2211yescharacteristic
225#2349C2211yescharacteristic
226#2349C2211yescharacteristic
227D4×C4⋊C4C2212yes—
228D4×C4⋊C4C2211yescharacteristic
229#2346C2211yescharacteristic
230#2346C2211yescharacteristic
231#2345C2212yes—
232#2343C2212yes—
233#2343C2212yes—
234#2341C2212yes—
235#2339C2212yes—
236#2339C2211yescharacteristic
237#2339C2211yescharacteristic
238#2339C2214yes—
239#2339C2214yes—
240#2335C2212yes—
241#2335C2212yes—
242#2333C2214yes—
243#2333C2212yes—
244#2333C2212yes—
245#2331C2212yes—
246#2331C2212yes—
247#2330C2212yes—
248#2330C2211yescharacteristic
249#2329C2214yes—
250#2328C2212yes—
251#2328C2212yes—
252#2328C2211yescharacteristic
253#2328C2212yes—
254#2324C2211yescharacteristic
255#2324C2211yescharacteristic
256#2324C2212yes—
257#2319C2211yescharacteristic
258#2319C2211yescharacteristic
259#2319C2212yes—
260#2314C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×C22⋊Q8C2212yes—
266C4×#123C2212yes—
267C4×#123C2212yes—
268C4×#121C2212yes—
269C4×#121C2212yes—
270C4×#121C2212yes—
271C4×#121C2211yescharacteristic
272C4×#121C2211yescharacteristic
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2212yes—
281#2297C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284C2×#389C2212yes—
285#2290C2212yes—
286#2290C2212yes—
287#2283C2212yes—
288#2283C2211yescharacteristic
289#2283C2212yes—
290#2283C2212yes—
291#2275C2212yes—
292#2275C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2314yes—
302#554—28no—
303#553—48no—
304#550—28no—
305#550—48no—
306#540—28no—
307#532—216no—
308#532—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2314yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C4×#41—28no—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2314yes—
407C22×C42C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2312yes—
411C22×C42C2312yes—
412C22×C42C2312yes—
413#401C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
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#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#395C2314yes—
450#395C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2312yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#383C2314yes—
688#383C2314yes—
689#383C2312yes—
690#383C2312yes—
691#383C2312yes—
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2312yes—
708#381C2312yes—
709#381C2314yes—
710#381C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2314yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2311yescharacteristic
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C2×#41—24no—
819C2×#41—28no—
820C2×#41—24no—
821C2×#41—216no—
822C2×#41—48no—
823C2×#41—42no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—84no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C4⋊Q8—28no—
872C4⋊Q8—24no—
873C4⋊Q8—44no—
874#127—28no—
875#127—24no—
876#127—28no—
877#127—28no—
878#127—24no—
879#127—48no—
880#126—48no—
881#125—24no—
882#125—28no—
883#125—44no—
884#124—216no—
885#124—48no—
886#124—84no—
887#124—82no—
888#124—82no—
889#123—28no—
890#123—28no—
891#123—48no—
892#123—84no—
893C22⋊Q8—28no—
894C22⋊Q8—216no—
895C22⋊Q8—82no—
896#121—28no—
897#121—24no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—24no—
903#121—28no—
904#121—216no—
905#121—216no—
906#121—28no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—48no—
917#121—84no—
918#121—84no—
919#121—82no—
920#121—84no—
921#121—84no—
922C4×Q8—24no—
923C4×Q8—44no—
924C4×Q8—82no—
925C4×Q8#4118yescomplemented
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—216no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—28no—
934C4×D4—24no—
935C4×D4—28no—
936C4×D4—24no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—42no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—42no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—48no—
952C4×D4—48no—
953C4×D4—48no—
954C4×D4—84no—
955C4×D4—82no—
956C4×D4—84no—
957C4×D4—84no—
958C4×D4—84no—
959C4×D4#4118yescomplemented
960#117—24no—
961#117—28no—
962#117—24no—
963#117—42no—
964#117—44no—
965C2×C4⋊C4—28no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—84no—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C42—28no—
1082C2×C42—24no—
1083C2×C42—28no—
1084C2×C42—44no—
1085C2×C42—44no—
1086C2×C42—44no—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2414yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2511yescharacteristic
1194C24C2512yes—
1195C24C2514yes—
1196C24C2512yes—
1197C24C2512yes—
1198#41—416no—
1199#41—832no—
1200#41—816no—
1201C2×Q8—24no—
1202C2×Q8—28no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8C2×#4114yes—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—24no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4C2×#4114yes—
1269C2×D4H(5,𝔽2)14yes—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—24no—
1296C22×C4—28no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—41no—
1322C22×C4—42no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4C2×#4118yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2514yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2514yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C4⋊C4—28no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—28no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4C2×#4114yes—
1412C4⋊C4C2×#4118yes—
1413C4⋊C4C2×#4114yes—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4C2×#4118yes—
1476C42—22no—
1477C42—22no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—22no—
1482C42—24no—
1483C42—24no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—24no—
1491C42—24no—
1492C42—22no—
1493C42—22no—
1494C42—42no—
1495C42—42no—
1496C42—42no—
1497C42—42no—
1498C42—42no—
1499C42—42no—
1500C42—44no—
1501C42—44no—
1502C42—44no—
1503C42—41no—
1504C42—44no—
1505C42—44no—
1506C42—41no—
1507C42—41no—
1508C42—41no—
1509C42C2×#4114yes—
1510C42C2×#4118yes—
1511C42C2×#4114yes—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—21no—
1525C23—24no—
1526C23—22no—
1527C23—21no—
1528C23—22no—
1529C23—24no—
1530C23—22no—
1531C23—24no—
1532C23—21no—
1533C23—22no—
1534C23—24no—
1535C23—21no—
1536C23—21no—
1537C23—24no—
1538C23—22no—
1539C23—21no—
1540C23—22no—
1541C23—24no—
1542C23—24no—
1543C23—22no—
1544C23—21no—
1545C23C22×#4114yes—
1546C23C2×H(5,𝔽2)14yes—
1547C23C2611yescharacteristic
1548Q8—28no—
1549Q8—84no—
1550Q8—88no—
1551D4—28no—
1552D4—28no—
1553D4—48no—
1554D4—416no—
1555D4—416no—
1556D4—48no—
1557D4—44no—
1558D4—48no—
1559D4—84no—
1560D4—88no—
1561D4—84no—
1562D4—88no—
1563D4—84no—
1564D4—84no—
1565D4—88no—
1566D4—84no—
1567D4—88no—
1568D4—88no—
1569D4—88no—
1570D4—164no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—48no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—44no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—48no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—88no—
1661C2×C4—82no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—84no—
1665C2×C4—84no—
1666C2×C4—84no—
1667C2×C4—84no—
1668C2×C4—164no—
1669C2×C4—164no—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4112yes—
1672C2×C4C22×#4112yes—
1673C2×C4C22×#4114yes—
1674C2×C4C22×#4114yes—
1675C2×C4C22×#4114yes—
1676C2×C4C22×#4112yes—
1677C2×C4C22×#4112yes—
1678C2×C4C22×#4112yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4#58512yes—
1681C2×C4#58512yes—
1682C22—24no—
1683C22—24no—
1684C22—24no—
1685C22—24no—
1686C22—24no—
1687C22—24no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—44no—
1697C22—41no—
1698C22—42no—
1699C22—42no—
1700C22—41no—
1701C22—44no—
1702C22—41no—
1703C22—42no—
1704C22—44no—
1705C22—41no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—44no—
1710C22—41no—
1711C22—42no—
1712C22—44no—
1713C22—41no—
1714C22—41no—
1715C22—44no—
1716C22—42no—
1717C22C23×#4111yescharacteristic
1718C22C23×#4111yescharacteristic
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22C2×#58511yescharacteristic
1722C22H(7,𝔽2)11yescharacteristic
1723C22H(7,𝔽2)11yescharacteristic
1724C4—22no—
1725C4—24no—
1726C4—22no—
1727C4—24no—
1728C4—24no—
1729C4—22no—
1730C4—42no—
1731C4—44no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—42no—
1739C4—41no—
1740C4—44no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—42no—
1745C4—44no—
1746C4—41no—
1747C4—41no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—41no—
1752C4#348014yes—
1753C4#349414yes—
1754C2—44no—
1755C2—44no—
1756C2—84no—
1757C2—82no—
1758C2—81no—
1759C2C2×#348011yescharacteristic
1760C2C2×#349411yescharacteristic
1761C2#6285811yescharacteristic
1762C2#6292011yescharacteristic
1763C2#6293711yescharacteristic
1764C2#6298311yescharacteristic
1765C2#6299411yescharacteristic
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. #59854C2semidirect
2. #59770C2semidirect
3. #59401C2semidirect
4. #59374C2semidirect
5. #59282C2semidirect
6. #59236C2semidirect
7. #59110C2semidirect
8. #59033C2semidirect
9. #44437C2semidirect
10. #44337C2semidirect
11. #43190C2semidirect
12. #43182C2semidirect
13. #39275C2semidirect
14. #39256C2semidirect
15. #39182C2semidirect
16. #39169C2semidirect
17. #39158C2semidirect
18. #39152C2semidirect
19. #39148C2semidirect
20. #39148C2semidirect
21. #36492C2semidirect
22. #36468C2semidirect
23. #36463C2semidirect
24. #36455C2semidirect
25. #35571C2semidirect
26. #35552C2semidirect
27. #35288C2semidirect
28. #35271C2semidirect
29. #34943C2semidirect
30. #34925C2semidirect
31. #34332C2semidirect
32. #34330C2semidirect
33. #34222C2semidirect
34. #34123C2semidirect
35. C4×#540C2semidirect
925. C4×Q8#41semidirect
959. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598542
#597702
#594012
#593742
#592822
#592362
#591102
#590332
#444372
#443372
#431902
#431822
#392752
#392562
#391822
#391692
#391582
#391522
#391482
#364922
#364682
#364632
#364552
#355712
#355522
#352882
#352712
#349432
#349252
#343322
#343302
#342222
#341232
C4×#5402