Finite Group Databasebeta

← #7680750

Subgroups — #7680750

Order 512.

5830 conjugacy classes of subgroups.

The subgroup lattice has 1851 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59684C212yesmaximal, complemented
2#59683C212yesmaximal, complemented
3#59680C212yesmaximal, complemented
4#59646C212yesmaximal, complemented
5#59384C214yesmaximal, complemented
6#59190C214yesmaximal, complemented
7#45312C212yesmaximal, complemented
8#45041C212yesmaximal, complemented
9#44970C212yesmaximal, complemented
10#44969C212yesmaximal, complemented
11#44063C214yesmaximal, complemented
12#44062C214yesmaximal, complemented
13#39059C212yesmaximal, complemented
14#39052C212yesmaximal, complemented
15#38216C212yesmaximal, complemented
16#38214C212yesmaximal, complemented
17#38129C212yesmaximal, complemented
18#38123C212yesmaximal, complemented
19#36369C212yesmaximal, complemented
20#36263C212yesmaximal, complemented
21#35545C211yesmaximal, characteristic, complemented
22#35533C211yesmaximal, characteristic, complemented
23#35533C211yesmaximal, characteristic, complemented
24#35528C211yesmaximal, characteristic, complemented
25#35272C211yesmaximal, characteristic, complemented
26#35266C211yesmaximal, characteristic, complemented
27#35254C211yesmaximal, characteristic, complemented
28#34815C211yesmaximal, characteristic, complemented
29C2×#2445C211yesmaximal, characteristic, complemented
30#34275C211yesmaximal, characteristic, complemented
31#34265C211yesmaximal, characteristic, complemented
32#34255C211yesmaximal, characteristic, complemented
33#34250C211yesmaximal, characteristic, complemented
34#34141C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C2×#553C2214yescomplemented
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C22×#127C2211yescharacteristic
43C22×#123C2212yes—
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#518C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2860C2212yescomplemented
51#2860C2212yescomplemented
52#2856C2212yes—
53#2856C2212yes—
54#2854C2212yescomplemented
55#2854C2212yescomplemented
56#2803C2214yescomplemented
57#2803C2214yescomplemented
58#2801C2214yescomplemented
59#2800C2214yescomplemented
60#2795C2214yescomplemented
61#2780C2214yescomplemented
62#2779C2214yescomplemented
63#2778C2214yescomplemented
64#2778C2214yescomplemented
65#2756C2214yescomplemented
66#2753C2214yescomplemented
67#2753C2214yescomplemented
68#2753C2214yescomplemented
69#2718C2214yescomplemented
70#2714C2214yescomplemented
71#2714C2214yescomplemented
72#2711C2214yescomplemented
73#2708C2214yescomplemented
74#2703C2214yescomplemented
75#2703C2214yescomplemented
76#2701C2214yescomplemented
77#2701C2214yescomplemented
78#2688C2214yescomplemented
79#2688C2214yescomplemented
80#2644C2212yescomplemented
81#2644C2212yescomplemented
82#2624C2212yescomplemented
83#2624C2212yescomplemented
84#2619C2212yes—
85#2619C2212yes—
86#2602C2214yescomplemented
87#2602C2214yescomplemented
88#2602C2214yescomplemented
89#2601C2214yescomplemented
90#2598C2214yescomplemented
91#2595C2214yescomplemented
92#2593C2214yescomplemented
93#2591C2214yescomplemented
94#2576C2214yescomplemented
95#2559C2214yescomplemented
96#2559C2214yescomplemented
97#2559C2214yescomplemented
98#2558C2214yescomplemented
99#2554C2214yescomplemented
100#2554C2214yescomplemented
101#2548C2212yes—
102#2548C2212yes—
103#2548C2212yescomplemented
104#2548C2212yescomplemented
105#2545C2212yescomplemented
106#2545C2212yescomplemented
107#2544C2212yes—
108#2544C2212yes—
109#2544C2212yescomplemented
110#2544C2212yescomplemented
111#2543C2214yescomplemented
112#2543C2214yescomplemented
113#2541C2212yes—
114#2541C2212yes—
115#2541C2212yes—
116#2541C2212yes—
117#2541C2212yescomplemented
118#2541C2212yescomplemented
119#2535C2214yescomplemented
120#2518C2214yescomplemented
121#2518C2214yescomplemented
122#2516C2214yescomplemented
123#2514C2212yescomplemented
124#2513C2212yescomplemented
125#2513C2212yescomplemented
126#2513C2212yescomplemented
127#2512C2212yescomplemented
128#2512C2212yescomplemented
129#2512C2212yescomplemented
130#2511C2212yescomplemented
131#2510C2214yes—
132#2509C2211yescharacteristic, complemented
133#2509C2211yescharacteristic, complemented
134#2508C2211yescharacteristic, complemented
135#2508C2211yescharacteristic, complemented
136#2507C2211yescharacteristic, complemented
137#2507C2211yescharacteristic, complemented
138#2506C2211yescharacteristic, complemented
139#2506C2211yescharacteristic, complemented
140#2505C2212yes—
141#2505C2212yes—
142#2500C2214yescomplemented
143#2497C2212yescomplemented
144#2496C2212yescomplemented
145#2495C2212yescomplemented
146#2494C2212yescomplemented
147#2490C2214yescomplemented
148#2481C2214yes—
149#2480C2214yes—
150#2480C2214yes—
151#2476C2214yescomplemented
152#2473C2212yes—
153#2473C2212yes—
154#2470C2214yescomplemented
155#2467C2214yescomplemented
156#2464C2214yescomplemented
157#2464C2214yescomplemented
158#2457C2214yescomplemented
159#2456C2214yescomplemented
160#2456C2214yescomplemented
161#2448C2212yescomplemented
162#2448C2212yescomplemented
163#2445C2212yes—
164#2445C2212yes—
165#2445C2212yes—
166#2445C2212yes—
167#2445C2212yes—
168#2445C2212yes—
169#2445C2212yes—
170#2445C2212yes—
171#2445C2212yescomplemented
172#2445C2212yescomplemented
173#2444C2214yescomplemented
174#2443C2214yescomplemented
175#2428C2212yes—
176#2428C2212yes—
177#2428C2212yes—
178#2428C2212yes—
179#2424C2214yes—
180#2424C2214yes—
181#2424C2214yes—
182#2424C2214yes—
183#2422C2214yescomplemented
184#2418C2214yes—
185#2418C2214yes—
186#2416C2214yescomplemented
187#2416C2212yescomplemented
188#2416C2212yescomplemented
189#2416C2212yescomplemented
190#2416C2212yescomplemented
191#2414C2212yescomplemented
192#2414C2212yescomplemented
193#2414C2214yescomplemented
194#2414C2212yescomplemented
195#2414C2212yescomplemented
196#2410C2214yes—
197#2410C2214yes—
198#2408C2214yes—
199#2408C2214yes—
200#2402C2212yescomplemented
201#2402C2212yescomplemented
202C2×#394C2212yes—
203C2×#394C2212yes—
204#2374C2214yescomplemented
205#2367C2211yescharacteristic, complemented
206#2367C2212yescomplemented
207#2367C2211yescharacteristic, complemented
208#2367C2212yescomplemented
209#2367C2211yescharacteristic, complemented
210#2367C2211yescharacteristic, complemented
211#2366C2211yescharacteristic, complemented
212#2366C2212yescomplemented
213#2366C2211yescharacteristic, complemented
214#2366C2212yescomplemented
215#2365C2211yescharacteristic, complemented
216#2365C2211yescharacteristic, complemented
217#2364C2212yes—
218#2364C2212yes—
219#2364C2214yescomplemented
220#2363C2212yescomplemented
221#2363C2212yescomplemented
222#2363C2214yescomplemented
223#2363C2212yescomplemented
224#2363C2212yescomplemented
225#2361C2212yes—
226#2361C2212yes—
227#2361C2212yescomplemented
228#2361C2212yescomplemented
229#2361C2212yescomplemented
230#2361C2212yescomplemented
231#2358C2214yes—
232#2358C2214yes—
233#2357C2212yescomplemented
234#2357C2212yescomplemented
235#2354C2212yescomplemented
236#2354C2212yescomplemented
237#2351C2212yescomplemented
238Q8×C4⋊C4C2212yescomplemented
239#2349C2214yes—
240#2349C2212yescomplemented
241D4×C4⋊C4C2214yes—
242D4×C4⋊C4C2212yescomplemented
243#2342C2214yes—
244#2342C2214yes—
245#2328C2212yescomplemented
246#2328C2212yescomplemented
247#2326C2212yescomplemented
248#2326C2212yescomplemented
249#2324C2212yescomplemented
250#2324C2212yescomplemented
251#2321C2214yes—
252#2321C2214yes—
253#2319C2212yescomplemented
254#2319C2212yescomplemented
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2212yescomplemented
258#2316C2211yescharacteristic
259#2316C2212yescomplemented
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2309C2211yescharacteristic
263#2309C2211yescharacteristic
264#2309C2211yescharacteristic
265C4×#127C2212yescomplemented
266C4×#127C2212yescomplemented
267C4×#125C2212yescomplemented
268C4×#125C2212yescomplemented
269C4×#124C2212yescomplemented
270C4×#124C2212yescomplemented
271C4×#121C2212yescomplemented
272C4×#121C2212yescomplemented
273C4×#120C2214yes—
274C4×#120C2214yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2212yescomplemented
282#2293C2212yescomplemented
283#2293C2212yescomplemented
284#2293C2212yescomplemented
285C2×#390C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#390C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2212yescomplemented
290#2290C2212yescomplemented
291#2290C2212yescomplemented
292C2×#386C2212yes—
293#2285C2211yescharacteristic
294#2274C2211yescharacteristic
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C24×C4C2312yes—
306#553—416no—
307#535—28no—
308#535—28no—
309#535—28no—
310#535—44no—
311#532—28no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127—44no—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#123—48no—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#121C2312yes—
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×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367#520—28no—
368#520—44no—
369#518—28no—
370C4×#41—44no—
371C4×#41—44no—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×D4—44no—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2314yes—
419C2×#117C2314yes—
420C2×#117C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2314yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2311yescharacteristic
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2312yes—
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2312yes—
441C22×C42C2312yes—
442#401C2314yes—
443#400C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2314yes—
454#399C2314yes—
455#399C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#398C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
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#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2311yescharacteristic
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
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#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
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#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2314yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#383C2314yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2314yes—
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#381C2314yes—
746#381C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#379C2314yes—
759#379C2314yes—
760#379C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2312yes—
818C2×#95C2312yes—
819C2×#95C2314yes—
820C2×#95C2311yescharacteristic
821C2×#95C2311yescharacteristic
822C43C2312yes—
823C43C2312yes—
824C25C2412yes—
825C25C2412yes—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41#4118yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4—82no—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C23×C4—44no—
869C23×C4—44no—
870C23×C4—82no—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C4⋊Q8—24no—
893#127—24no—
894#127—28no—
895#127—28no—
896#127—28no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#126—48no—
903#126—48no—
904#126—84no—
905#125—28no—
906#125—44no—
907#124—24no—
908#124—28no—
909#124—28no—
910#124—24no—
911#124—28no—
912#124—44no—
913#123—216no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—84no—
919#121—28no—
920#121—28no—
921#121—28no—
922#121—28no—
923#121—28no—
924#121—28no—
925#121—28no—
926#121—28no—
927#121—48no—
928#121—48no—
929#121—48no—
930#121—48no—
931#121—48no—
932#121—44no—
933#121—44no—
934#121—48no—
935#121—84no—
936#121—84no—
937#121—84no—
938#121—84no—
939#121—84no—
940#121—84no—
941#120—216no—
942#120—216no—
943#120—216no—
944#120—48no—
945C4×Q8—28no—
946C4×Q8—42no—
947C4×Q8—42no—
948C4×Q8—42no—
949C4×Q8—42no—
950C4×Q8—44no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—216no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—48no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—42no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—44no—
972C4×D4—48no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—48no—
978C4×D4—84no—
979C4×D4—84no—
980C4×D4—84no—
981#117—24no—
982#117—24no—
983#117—24no—
984#117—24no—
985#117—24no—
986#117—28no—
987#117—44no—
988#117—44no—
989#117—48no—
990#117—44no—
991#117—84no—
992#117#4118yes—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—24no—
995C2×C4⋊C4—28no—
996C2×C4⋊C4—24no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4—44no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4—48no—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C22⋊C4—216no—
1062C2×C22⋊C4—44no—
1063C2×C22⋊C4—44no—
1064C2×C22⋊C4—44no—
1065C2×C22⋊C4—44no—
1066C2×C22⋊C4—82no—
1067C2×C22⋊C4—82no—
1068C2×C22⋊C4—82no—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C42—24no—
1134C2×C42—24no—
1135C2×C42—24no—
1136C2×C42—44no—
1137C2×C42—44no—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2414yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2414yes—
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230C24—24no—
1231C24—24no—
1232C24—24no—
1233C24—24no—
1234C24—24no—
1235C24—24no—
1236C24—42no—
1237C24—42no—
1238C24—42no—
1239C24—42no—
1240C24—42no—
1241C24—42no—
1242C24—42no—
1243C24—42no—
1244C24C2514yes—
1245C24C2514yes—
1246C24C2512yes—
1247C24C2512yes—
1248C24C2511yescharacteristic
1249#41—232no—
1250#41—416no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8C2×#4114yes—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—28no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—28no—
1280C2×D4—28no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—28no—
1289C2×D4—28no—
1290C2×D4—42no—
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—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—416no—
1322C2×D4—416no—
1323C2×D4—816no—
1324C2×D4—816no—
1325C2×D4C2×#4118yes—
1326C2×D4C2×#4114yes—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—28no—
1345C22×C4—28no—
1346C22×C4—28no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—28no—
1350C22×C4—24no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—41no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—42no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—816no—
1387C22×C4C2×#4118yes—
1388C22×C4C2×#4114yes—
1389C22×C4C2×#4114yes—
1390C22×C4H(5,𝔽2)14yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2514yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4C2×#4114yes—
1479C4⋊C4C2×#4114yes—
1480C4⋊C4H(5,𝔽2)14yes—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—28no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
1495C22⋊C4—28no—
1496C22⋊C4—28no—
1497C22⋊C4—28no—
1498C22⋊C4—28no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4C2×#4118yes—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—24no—
1550C42—28no—
1551C42—24no—
1552C42—24no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—42no—
1566C42—42no—
1567C42—42no—
1568C42—42no—
1569C42—44no—
1570C42—44no—
1571C42—42no—
1572C42—44no—
1573C42—42no—
1574C42—42no—
1575C42—42no—
1576C42—42no—
1577C42—42no—
1578C42C2×#4118yes—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—24no—
1592C23—24no—
1593C23—24no—
1594C23—22no—
1595C23—24no—
1596C23—22no—
1597C23—24no—
1598C23—22no—
1599C23—24no—
1600C23—24no—
1601C23—22no—
1602C23—24no—
1603C23—24no—
1604C23—24no—
1605C23—22no—
1606C23—22no—
1607C23—24no—
1608C23—24no—
1609C23—24no—
1610C23—48no—
1611C23—48no—
1612C23—48no—
1613C23—48no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23—84no—
1621C23—84no—
1622C23—84no—
1623C23—84no—
1624C23C22×#4114yes—
1625C23C22×#4112yes—
1626C23C22×#4112yes—
1627C23C2×H(5,𝔽2)12yes—
1628C23C2611yescharacteristic
1629Q8—28no—
1630Q8—44no—
1631D4—216no—
1632D4—28no—
1633D4—48no—
1634D4—48no—
1635D4—48no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—44no—
1640D4—88no—
1641D4—88no—
1642D4—88no—
1643D4—88no—
1644D4—88no—
1645D4—88no—
1646D4—84no—
1647D4—88no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—164no—
1652D4—164no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—216no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—88no—
1737C2×C4—88no—
1738C2×C4—88no—
1739C2×C4—84no—
1740C2×C4—84no—
1741C2×C4—84no—
1742C2×C4—88no—
1743C2×C4—84no—
1744C2×C4—82no—
1745C2×C4—82no—
1746C2×C4—84no—
1747C2×C4—84no—
1748C2×C4—88no—
1749C2×C4—164no—
1750C2×C4#553116yescomplemented
1751C2×C4C22×#4114yes—
1752C2×C4C22×#4114yes—
1753C2×C4C22×#4114yes—
1754C2×C4C22×#4112yes—
1755C2×C4C22×#4112yes—
1756C2×C4C22×#4112yes—
1757C2×C4C22×#4112yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4#58512yes—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—24no—
1771C22—24no—
1772C22—24no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—42no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—44no—
1783C22—42no—
1784C22—44no—
1785C22—44no—
1786C22—42no—
1787C22—44no—
1788C22—44no—
1789C22—44no—
1790C22—42no—
1791C22—44no—
1792C22—42no—
1793C22—44no—
1794C22—44no—
1795C22—42no—
1796C22—44no—
1797C22—44no—
1798C22—816no—
1799C22—168no—
1800C22C2×#55314yes—
1801C22C23×#4111yescharacteristic
1802C22C23×#4111yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22H(7,𝔽2)11yescharacteristic
1807C22H(7,𝔽2)11yescharacteristic
1808C4—24no—
1809C4—24no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—24no—
1815C4—42no—
1816C4—44no—
1817C4—42no—
1818C4—41no—
1819C4—42no—
1820C4—42no—
1821C4—41no—
1822C4—41no—
1823C4—42no—
1824C4—42no—
1825C4—41no—
1826C4—41no—
1827C4—42no—
1828C4—44no—
1829C4—42no—
1830C4—41no—
1831C4—41no—
1832C4—42no—
1833C4—41no—
1834C4—42no—
1835C4—42no—
1836C4C2×#55314yes—
1837C4C2×#55314yes—
1838C2—24no—
1839C2—44no—
1840C2—82no—
1841C2—84no—
1842C2—84no—
1843C2C22×#55311yescharacteristic
1844C2#6280011yescharacteristic
1845C2#6285811yescharacteristic
1846C2#6291211yescharacteristic
1847C2#6292411yescharacteristic
1848C2#6298611yescharacteristic
1849C2#6301011yescharacteristic
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. #59684C2semidirect
2. #59683C2semidirect
3. #59680C2semidirect
4. #59646C2semidirect
5. #59384C2semidirect
6. #59190C2semidirect
7. #45312C2semidirect
8. #45041C2semidirect
9. #44970C2semidirect
10. #44969C2semidirect
11. #44063C2semidirect
12. #44062C2semidirect
13. #39059C2semidirect
14. #39052C2semidirect
15. #38216C2semidirect
16. #38214C2semidirect
17. #38129C2semidirect
18. #38123C2semidirect
19. #36369C2semidirect
20. #36263C2semidirect
21. #35545C2semidirect
22. #35533C2semidirect
23. #35533C2semidirect
24. #35528C2semidirect
25. #35272C2semidirect
26. #35266C2semidirect
27. #35254C2semidirect
28. #34815C2semidirect
29. C2×#2445C2semidirect
30. #34275C2semidirect
31. #34265C2semidirect
32. #34255C2semidirect
33. #34250C2semidirect
34. #34141C2semidirect
35. C4×#535C2semidirect
36. C2×#553C22semidirect
50. #2860C22semidirect
51. #2860C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
56. #2803C22semidirect
57. #2803C22semidirect
58. #2801C22semidirect
59. #2800C22semidirect
60. #2795C22semidirect
61. #2780C22semidirect
62. #2779C22semidirect
63. #2778C22semidirect
64. #2778C22semidirect
65. #2756C22semidirect
66. #2753C22semidirect
67. #2753C22semidirect
68. #2753C22semidirect
69. #2718C22semidirect
70. #2714C22semidirect
71. #2714C22semidirect
72. #2711C22semidirect
73. #2708C22semidirect
74. #2703C22semidirect
75. #2703C22semidirect
76. #2701C22semidirect
77. #2701C22semidirect
78. #2688C22semidirect
79. #2688C22semidirect
80. #2644C22semidirect
81. #2644C22semidirect
82. #2624C22semidirect
83. #2624C22semidirect
86. #2602C22semidirect
87. #2602C22semidirect
88. #2602C22semidirect
89. #2601C22semidirect
90. #2598C22semidirect
91. #2595C22semidirect
92. #2593C22semidirect
93. #2591C22semidirect
94. #2576C22semidirect
95. #2559C22semidirect
96. #2559C22semidirect
97. #2559C22semidirect
98. #2558C22semidirect
99. #2554C22semidirect
100. #2554C22semidirect
103. #2548C22semidirect
104. #2548C22semidirect
105. #2545C22semidirect
106. #2545C22semidirect
109. #2544C22semidirect
110. #2544C22semidirect
111. #2543C22semidirect
112. #2543C22semidirect
117. #2541C22semidirect
118. #2541C22semidirect
119. #2535C22semidirect
120. #2518C22semidirect
121. #2518C22semidirect
122. #2516C22semidirect
123. #2514C22semidirect
124. #2513C22semidirect
125. #2513C22semidirect
126. #2513C22semidirect
127. #2512C22semidirect
128. #2512C22semidirect
129. #2512C22semidirect
130. #2511C22semidirect
132. #2509C22semidirect
133. #2509C22semidirect
134. #2508C22semidirect
135. #2508C22semidirect
136. #2507C22semidirect
137. #2507C22semidirect
138. #2506C22semidirect
139. #2506C22semidirect
142. #2500C22semidirect
143. #2497C22semidirect
144. #2496C22semidirect
145. #2495C22semidirect
146. #2494C22semidirect
147. #2490C22semidirect
151. #2476C22semidirect
154. #2470C22semidirect
155. #2467C22semidirect
156. #2464C22semidirect
157. #2464C22semidirect
158. #2457C22semidirect
159. #2456C22semidirect
160. #2456C22semidirect
161. #2448C22semidirect
162. #2448C22semidirect
171. #2445C22semidirect
172. #2445C22semidirect
173. #2444C22semidirect
174. #2443C22semidirect
183. #2422C22semidirect
186. #2416C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
189. #2416C22semidirect
190. #2416C22semidirect
191. #2414C22semidirect
192. #2414C22semidirect
193. #2414C22semidirect
194. #2414C22semidirect
195. #2414C22semidirect
200. #2402C22semidirect
201. #2402C22semidirect
204. #2374C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
207. #2367C22semidirect
208. #2367C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2366C22semidirect
214. #2366C22semidirect
215. #2365C22semidirect
216. #2365C22semidirect
219. #2364C22semidirect
220. #2363C22semidirect
221. #2363C22semidirect
222. #2363C22semidirect
223. #2363C22semidirect
224. #2363C22semidirect
227. #2361C22semidirect
228. #2361C22semidirect
229. #2361C22semidirect
230. #2361C22semidirect
233. #2357C22semidirect
234. #2357C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2351C22semidirect
238. Q8×C4⋊C4C22semidirect
240. #2349C22semidirect
242. D4×C4⋊C4C22semidirect
245. #2328C22semidirect
246. #2328C22semidirect
247. #2326C22semidirect
248. #2326C22semidirect
249. #2324C22semidirect
250. #2324C22semidirect
253. #2319C22semidirect
254. #2319C22semidirect
257. #2317C22semidirect
259. #2316C22semidirect
265. C4×#127C22semidirect
266. C4×#127C22semidirect
267. C4×#125C22semidirect
268. C4×#125C22semidirect
269. C4×#124C22semidirect
270. C4×#124C22semidirect
271. C4×#121C22semidirect
272. C4×#121C22semidirect
281. #2296C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
289. C2×#389C22semidirect
290. #2290C22semidirect
291. #2290C22semidirect
295. C42×D4C22semidirect
1750. C2×C4#553semidirect

Maximal subgroups

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

subgroupindex
#596842
#596832
#596802
#596462
#593842
#591902
#453122
#450412
#449702
#449692
#440632
#440622
#390592
#390522
#382162
#382142
#381292
#381232
#363692
#362632
#355452
#355332
#355282
#352722
#352662
#352542
#348152
C2×#24452
#342752
#342652
#342552
#342502
#341412
C4×#5352