Finite Group Databasebeta

← #7679793

Subgroups — #7679793

Order 512.

5455 conjugacy classes of subgroups.

The subgroup lattice has 1839 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59860C212yesmaximal, complemented
2#59854C212yesmaximal, complemented
3#59677C212yesmaximal, complemented
4#59548C212yesmaximal, complemented
5#59384C214yesmaximal, complemented
6#59368C214yesmaximal, complemented
7#45399C212yesmaximal, complemented
8#45373C212yesmaximal, complemented
9#45024C212yesmaximal, complemented
10#45011C212yesmaximal, complemented
11#44085C214yesmaximal, complemented
12#44063C214yesmaximal, complemented
13#39287C212yesmaximal, complemented
14#39285C212yesmaximal, complemented
15#39284C212yesmaximal, complemented
16#39282C212yesmaximal, complemented
17#39148C212yesmaximal, complemented
18#39143C212yesmaximal, complemented
19#36502C212yesmaximal, complemented
20#36460C212yesmaximal, complemented
21#35627C211yesmaximal, characteristic, complemented
22#35563C211yesmaximal, characteristic, complemented
23#35533C211yesmaximal, characteristic, complemented
24#35516C211yesmaximal, characteristic, complemented
25#35267C211yesmaximal, characteristic, complemented
26#35266C211yesmaximal, characteristic, complemented
27#35252C211yesmaximal, characteristic, complemented
28#34743C211yesmaximal, characteristic, complemented
29C2×#2420C211yesmaximal, characteristic, complemented
30#34265C211yesmaximal, characteristic, complemented
31#34250C211yesmaximal, characteristic, complemented
32#34208C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34109C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2863C2212yescomplemented
49#2860C2212yescomplemented
50#2860C2212yescomplemented
51#2860C2212yescomplemented
52#2856C2212yes—
53#2850C2212yes—
54#2803C2214yescomplemented
55#2800C2214yescomplemented
56#2800C2214yescomplemented
57#2797C2214yescomplemented
58#2795C2214yescomplemented
59#2793C2214yescomplemented
60#2783C2214yescomplemented
61#2780C2214yescomplemented
62#2779C2214yescomplemented
63#2779C2214yescomplemented
64#2778C2214yescomplemented
65#2772C2214yescomplemented
66#2765C2214yescomplemented
67#2761C2214yescomplemented
68#2753C2214yescomplemented
69#2753C2214yescomplemented
70#2750C2214yescomplemented
71#2749C2214yescomplemented
72#2749C2214yescomplemented
73#2714C2214yescomplemented
74#2703C2214yescomplemented
75#2691C2214yescomplemented
76#2688C2214yescomplemented
77#2688C2214yescomplemented
78#2645C2212yescomplemented
79#2644C2212yescomplemented
80#2644C2212yescomplemented
81#2644C2212yescomplemented
82#2620C2212yes—
83#2619C2212yes—
84#2608C2214yescomplemented
85#2602C2214yescomplemented
86#2600C2214yescomplemented
87#2598C2214yescomplemented
88#2597C2214yescomplemented
89#2595C2214yescomplemented
90#2595C2214yescomplemented
91#2591C2214yescomplemented
92#2576C2214yescomplemented
93#2576C2214yescomplemented
94#2573C2214yescomplemented
95#2571C2212yescomplemented
96#2571C2212yescomplemented
97#2570C2212yescomplemented
98#2570C2212yescomplemented
99#2559C2214yescomplemented
100#2559C2214yescomplemented
101#2559C2214yescomplemented
102#2554C2214yescomplemented
103#2548C2212yescomplemented
104#2545C2212yescomplemented
105#2544C2212yescomplemented
106#2543C2214yescomplemented
107#2541C2212yescomplemented
108#2535C2214yescomplemented
109#2534C2214yes—
110#2531C2214yescomplemented
111#2526C2214yescomplemented
112#2526C2214yescomplemented
113#2525C2214yescomplemented
114#2518C2214yescomplemented
115#2516C2214yescomplemented
116#2515C2214yescomplemented
117#2513C2212yescomplemented
118#2513C2212yescomplemented
119#2512C2212yescomplemented
120#2512C2214yescomplemented
121#2512C2212yescomplemented
122#2510C2214yes—
123#2509C2212yescomplemented
124#2509C2212yescomplemented
125#2508C2212yescomplemented
126#2508C2212yescomplemented
127#2505C2214yes—
128#2505C2214yes—
129#2504C2214yescomplemented
130#2500C2214yescomplemented
131#2497C2212yescomplemented
132#2496C2212yescomplemented
133#2495C2212yescomplemented
134#2494C2212yescomplemented
135#2487C2212yescomplemented
136#2486C2212yescomplemented
137#2485C2212yescomplemented
138#2485C2212yescomplemented
139#2481C2214yes—
140#2481C2214yescomplemented
141#2480C2214yes—
142#2480C2214yes—
143#2476C2214yescomplemented
144#2468C2214yescomplemented
145#2467C2214yescomplemented
146#2466C2214yescomplemented
147#2456C2214yescomplemented
148#2444C2214yescomplemented
149#2429C2211yescharacteristic, complemented
150#2429C2211yescharacteristic, complemented
151#2428C2212yes—
152#2428C2212yes—
153#2428C2211yescharacteristic, complemented
154#2428C2211yescharacteristic, complemented
155#2427C2211yescharacteristic, complemented
156#2427C2211yescharacteristic, complemented
157#2426C2212yes—
158#2426C2212yes—
159#2426C2211yescharacteristic, complemented
160#2426C2211yescharacteristic, complemented
161#2425C2212yes—
162#2425C2212yes—
163#2424C2212yes—
164#2424C2214yes—
165#2424C2214yes—
166#2424C2212yes—
167#2423C2212yescomplemented
168#2422C2212yescomplemented
169#2421C2212yescomplemented
170#2420C2212yes—
171#2420C2212yes—
172#2420C2212yes—
173#2420C2212yes—
174#2420C2212yes—
175#2420C2212yes—
176#2420C2212yes—
177#2420C2212yes—
178#2420C2212yescomplemented
179#2420C2214yescomplemented
180#2419C2214yes—
181#2418C2214yes—
182#2416C2212yes—
183#2416C2212yes—
184#2416C2212yes—
185#2416C2212yes—
186#2416C2214yescomplemented
187#2416C2212yescomplemented
188#2416C2212yescomplemented
189#2414C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2414C2212yescomplemented
194#2414C2212yescomplemented
195#2411C2214yes—
196#2410C2214yes—
197#2408C2214yes—
198#2392C2212yescomplemented
199#2392C2212yescomplemented
200C2×#397C2212yes—
201C2×#394C2212yes—
202#2367C2212yescomplemented
203#2367C2212yescomplemented
204#2366C2212yescomplemented
205#2366C2212yescomplemented
206#2364C2214yes—
207#2364C2214yes—
208#2364C2214yescomplemented
209#2363C2212yescomplemented
210#2363C2212yescomplemented
211#2363C2214yescomplemented
212#2361C2212yescomplemented
213#2361C2212yescomplemented
214#2359C2214yes—
215#2358C2214yes—
216#2357C2214yescomplemented
217#2354C2212yescomplemented
218#2353C2214yescomplemented
219#2352C2212yescomplemented
220#2352C2212yescomplemented
221#2352C2212yescomplemented
222#2352C2212yescomplemented
223#2352C2212yescomplemented
224#2352C2212yescomplemented
225#2351C2212yescomplemented
226Q8×C4⋊C4C2212yescomplemented
227#2349C2214yes—
228#2349C2212yescomplemented
229D4×C4⋊C4C2214yes—
230D4×C4⋊C4C2212yescomplemented
231D4×C4⋊C4C2212yescomplemented
232#2347C2211yescharacteristic, complemented
233#2347C2211yescharacteristic, complemented
234#2346C2211yescharacteristic, complemented
235#2346C2211yescharacteristic, complemented
236#2345C2211yescharacteristic, complemented
237#2345C2211yescharacteristic, complemented
238#2344C2211yescharacteristic, complemented
239#2344C2211yescharacteristic, complemented
240#2343C2212yes—
241#2343C2212yes—
242#2342C2212yes—
243#2342C2212yes—
244#2328C2212yescomplemented
245#2328C2212yescomplemented
246#2327C2212yescomplemented
247#2326C2212yescomplemented
248#2324C2212yescomplemented
249#2324C2212yescomplemented
250#2324C2212yescomplemented
251#2323C2212yescomplemented
252#2321C2214yes—
253#2321C2214yes—
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2212yescomplemented
258#2316C2211yescharacteristic
259#2316C2211yescharacteristic
260#2316C2212yescomplemented
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263#2311C2211yescharacteristic
264#2309C2211yescharacteristic
265#2309C2211yescharacteristic
266C4×#127C2212yescomplemented
267C4×#124C2212yescomplemented
268C4×#124C2212yescomplemented
269C4×#124C2212yescomplemented
270C4×C22⋊Q8C2212yescomplemented
271C4×#121C2212yescomplemented
272C4×#121C2212yescomplemented
273C4×#121C2212yescomplemented
274C4×#121C2212yescomplemented
275C4×#121C2212yescomplemented
276C4×#120C2214yes—
277C4×#120C2214yes—
278#2298C2212yescomplemented
279#2298C2212yescomplemented
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2212yescomplemented
285C2×#390C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#389C2212yescomplemented
288C2×#386C2212yes—
289#2283C2212yescomplemented
290C2×#382C2211yescharacteristic
291#2280C2211yescharacteristic
292C2×#381C2212yes—
293C2×#380C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C24×C4C2311yescharacteristic
304C24×C4C2312yes—
305#535—28no—
306#535—28no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319#525—28no—
320#525—44no—
321C2×#123C2312yes—
322C2×#123C2312yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×#121—44no—
329C2×#121C2311yescharacteristic
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2314yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2312yes—
354C2×#120C2312yes—
355#520—28no—
356#520—44no—
357#520—44no—
358C4×#41—44no—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×D4—44no—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×#117—28no—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2314yes—
416C22×C4⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C42C2312yes—
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2312yes—
429#401C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#399C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2312yes—
506#392C2312yes—
507#392C2314yes—
508#392C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2314yes—
709#383C2314yes—
710#383C2312yes—
711#383C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#381C2314yes—
725#381C2312yes—
726#381C2314yes—
727#381C2312yes—
728#381C2312yes—
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#379C2314yes—
755#379C2314yes—
756#379C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2314yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#95C2312yes—
820C43C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C25C2412yes—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41#4118yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×D4—24no—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—82no—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C23×C4—24no—
857C23×C4—24no—
858C23×C4—24no—
859C23×C4—44no—
860C23×C4—44no—
861C23×C4—82no—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C4⋊Q8—24no—
887#127—24no—
888#127—28no—
889#127—28no—
890#126—84no—
891#126—84no—
892#126—84no—
893#124—24no—
894#124—28no—
895#124—24no—
896#124—28no—
897#123—28no—
898#123—44no—
899#123—84no—
900C22⋊Q8—24no—
901C22⋊Q8—24no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904#121—24no—
905#121—24no—
906#121—28no—
907#121—28no—
908#121—28no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—44no—
913#121—44no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—42no—
920#121—42no—
921#121—48no—
922#121—84no—
923#121—84no—
924#121—84no—
925#121—84no—
926#120—28no—
927#120—216no—
928#120—216no—
929#120—44no—
930C4×Q8—28no—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—216no—
940C4×D4—28no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—42no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—48no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—48no—
957C4×D4—84no—
958C4×D4—84no—
959C4×D4—84no—
960#117—24no—
961#117—24no—
962#117—24no—
963#117—24no—
964#117—24no—
965#117—24no—
966#117—24no—
967#117—28no—
968#117—28no—
969#117—28no—
970#117—44no—
971#117—44no—
972#117—44no—
973#117—44no—
974#117—44no—
975#117#4118yes—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—24no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—24no—
981C2×C4⋊C4—28no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—84no—
985C2×C4⋊C4—82no—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C22⋊C4—28no—
1042C2×C22⋊C4—42no—
1043C2×C22⋊C4—42no—
1044C2×C22⋊C4—44no—
1045C2×C22⋊C4—44no—
1046C2×C22⋊C4—82no—
1047C2×C22⋊C4—82no—
1048C2×C22⋊C4—82no—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C42—24no—
1119C2×C42—24no—
1120C2×C42—28no—
1121C2×C42—44no—
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2414yes—
1162#95C2411yescharacteristic
1163#95C2414yes—
1164#95C2411yescharacteristic
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—24no—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—24no—
1221C24—24no—
1222C24—41no—
1223C24—41no—
1224C24—42no—
1225C24—42no—
1226C24—42no—
1227C24—42no—
1228C24—41no—
1229C24C2511yescharacteristic
1230C24C2514yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2511yescharacteristic
1234C24C2511yescharacteristic
1235#41—232no—
1236#41—416no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8C2×#4114yes—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—416no—
1296C2×D4—816no—
1297C2×D4C2×#4118yes—
1298C2×D4C2×#4114yes—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—28no—
1331C22×C4—24no—
1332C22×C4—28no—
1333C22×C4—42no—
1334C22×C4—41no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—41no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—416no—
1368C22×C4—816no—
1369C22×C4C2×#4118yes—
1370C22×C4C2×#4114yes—
1371C22×C4C2×#4114yes—
1372C22×C4H(5,𝔽2)14yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2512yes—
1382C22×C4C2514yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—28no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4C2×#4114yes—
1456C4⋊C4C2×#4114yes—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—28no—
1479C22⋊C4—28no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—24no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4C2×#4118yes—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—24no—
1534C42—28no—
1535C42—24no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—42no—
1544C42—42no—
1545C42—42no—
1546C42—42no—
1547C42—42no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42—44no—
1552C42—42no—
1553C42—42no—
1554C42—42no—
1555C42—42no—
1556C42C2×#4118yes—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—21no—
1563C23—21no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—22no—
1569C23—21no—
1570C23—22no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—22no—
1576C23—24no—
1577C23—24no—
1578C23—22no—
1579C23—22no—
1580C23—24no—
1581C23—21no—
1582C23—21no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—24no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—24no—
1591C23—24no—
1592C23—22no—
1593C23—21no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—48no—
1598C23—48no—
1599C23—44no—
1600C23—48no—
1601C23—82no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23—82no—
1606C23—84no—
1607C23—82no—
1608C23C22×#4114yes—
1609C23C22×#4112yes—
1610C23C22×#4112yes—
1611C23C2×H(5,𝔽2)12yes—
1612C23#58512yes—
1613C23C2611yescharacteristic
1614Q8—28no—
1615Q8—44no—
1616D4—216no—
1617D4—28no—
1618D4—48no—
1619D4—48no—
1620D4—48no—
1621D4—48no—
1622D4—44no—
1623D4—88no—
1624D4—88no—
1625D4—84no—
1626D4—84no—
1627D4—88no—
1628D4—84no—
1629D4—88no—
1630D4—84no—
1631D4—88no—
1632D4—84no—
1633D4—88no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—216no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—48no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—84no—
1721C2×C4—88no—
1722C2×C4—84no—
1723C2×C4—88no—
1724C2×C4—82no—
1725C2×C4—82no—
1726C2×C4—84no—
1727C2×C4—82no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—88no—
1732C2×C4—164no—
1733C2×C4—164no—
1734C2×C4#553116yes—
1735C2×C4C22×#4114yes—
1736C2×C4C22×#4114yes—
1737C2×C4C22×#4114yes—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4112yes—
1740C2×C4C22×#4112yes—
1741C2×C4C22×#4112yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4#58512yes—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—24no—
1752C22—22no—
1753C22—24no—
1754C22—22no—
1755C22—22no—
1756C22—24no—
1757C22—41no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—42no—
1762C22—42no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—44no—
1770C22—41no—
1771C22—42no—
1772C22—44no—
1773C22—41no—
1774C22—42no—
1775C22—44no—
1776C22—41no—
1777C22—44no—
1778C22—42no—
1779C22—41no—
1780C22—44no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—44no—
1786C22—88no—
1787C22—816no—
1788C22C2×#55314yes—
1789C22C23×#4111yescharacteristic
1790C22C23×#4111yescharacteristic
1791C22C22×H(5,𝔽2)11yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22C2×#58511yescharacteristic
1794C22H(7,𝔽2)11yescharacteristic
1795C22H(7,𝔽2)11yescharacteristic
1796C4—24no—
1797C4—24no—
1798C4—22no—
1799C4—24no—
1800C4—41no—
1801C4—41no—
1802C4—42no—
1803C4—42no—
1804C4—41no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—44no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—44no—
1815C4—44no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—41no—
1822C4—42no—
1823C4C2×#55314yes—
1824C4C2×#55314yes—
1825C2—24no—
1826C2—44no—
1827C2—42no—
1828C2—82no—
1829C2—81no—
1830C2—84no—
1831C2C22×#55311yescharacteristic
1832C2#6281011yescharacteristic
1833C2#6285811yescharacteristic
1834C2#6292411yescharacteristic
1835C2#6292411yescharacteristic
1836C2#6299411yescharacteristic
1837C2#6300811yescharacteristic
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. #59860C2semidirect
2. #59854C2semidirect
3. #59677C2semidirect
4. #59548C2semidirect
5. #59384C2semidirect
6. #59368C2semidirect
7. #45399C2semidirect
8. #45373C2semidirect
9. #45024C2semidirect
10. #45011C2semidirect
11. #44085C2semidirect
12. #44063C2semidirect
13. #39287C2semidirect
14. #39285C2semidirect
15. #39284C2semidirect
16. #39282C2semidirect
17. #39148C2semidirect
18. #39143C2semidirect
19. #36502C2semidirect
20. #36460C2semidirect
21. #35627C2semidirect
22. #35563C2semidirect
23. #35533C2semidirect
24. #35516C2semidirect
25. #35267C2semidirect
26. #35266C2semidirect
27. #35252C2semidirect
28. #34743C2semidirect
29. C2×#2420C2semidirect
30. #34265C2semidirect
31. #34250C2semidirect
32. #34208C2semidirect
33. #34202C2semidirect
34. #34109C2semidirect
35. C4×#535C2semidirect
48. #2863C22semidirect
49. #2860C22semidirect
50. #2860C22semidirect
51. #2860C22semidirect
54. #2803C22semidirect
55. #2800C22semidirect
56. #2800C22semidirect
57. #2797C22semidirect
58. #2795C22semidirect
59. #2793C22semidirect
60. #2783C22semidirect
61. #2780C22semidirect
62. #2779C22semidirect
63. #2779C22semidirect
64. #2778C22semidirect
65. #2772C22semidirect
66. #2765C22semidirect
67. #2761C22semidirect
68. #2753C22semidirect
69. #2753C22semidirect
70. #2750C22semidirect
71. #2749C22semidirect
72. #2749C22semidirect
73. #2714C22semidirect
74. #2703C22semidirect
75. #2691C22semidirect
76. #2688C22semidirect
77. #2688C22semidirect
78. #2645C22semidirect
79. #2644C22semidirect
80. #2644C22semidirect
81. #2644C22semidirect
84. #2608C22semidirect
85. #2602C22semidirect
86. #2600C22semidirect
87. #2598C22semidirect
88. #2597C22semidirect
89. #2595C22semidirect
90. #2595C22semidirect
91. #2591C22semidirect
92. #2576C22semidirect
93. #2576C22semidirect
94. #2573C22semidirect
95. #2571C22semidirect
96. #2571C22semidirect
97. #2570C22semidirect
98. #2570C22semidirect
99. #2559C22semidirect
100. #2559C22semidirect
101. #2559C22semidirect
102. #2554C22semidirect
103. #2548C22semidirect
104. #2545C22semidirect
105. #2544C22semidirect
106. #2543C22semidirect
107. #2541C22semidirect
108. #2535C22semidirect
110. #2531C22semidirect
111. #2526C22semidirect
112. #2526C22semidirect
113. #2525C22semidirect
114. #2518C22semidirect
115. #2516C22semidirect
116. #2515C22semidirect
117. #2513C22semidirect
118. #2513C22semidirect
119. #2512C22semidirect
120. #2512C22semidirect
121. #2512C22semidirect
123. #2509C22semidirect
124. #2509C22semidirect
125. #2508C22semidirect
126. #2508C22semidirect
129. #2504C22semidirect
130. #2500C22semidirect
131. #2497C22semidirect
132. #2496C22semidirect
133. #2495C22semidirect
134. #2494C22semidirect
135. #2487C22semidirect
136. #2486C22semidirect
137. #2485C22semidirect
138. #2485C22semidirect
140. #2481C22semidirect
143. #2476C22semidirect
144. #2468C22semidirect
145. #2467C22semidirect
146. #2466C22semidirect
147. #2456C22semidirect
148. #2444C22semidirect
149. #2429C22semidirect
150. #2429C22semidirect
153. #2428C22semidirect
154. #2428C22semidirect
155. #2427C22semidirect
156. #2427C22semidirect
159. #2426C22semidirect
160. #2426C22semidirect
167. #2423C22semidirect
168. #2422C22semidirect
169. #2421C22semidirect
178. #2420C22semidirect
179. #2420C22semidirect
186. #2416C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
193. #2414C22semidirect
194. #2414C22semidirect
198. #2392C22semidirect
199. #2392C22semidirect
202. #2367C22semidirect
203. #2367C22semidirect
204. #2366C22semidirect
205. #2366C22semidirect
208. #2364C22semidirect
209. #2363C22semidirect
210. #2363C22semidirect
211. #2363C22semidirect
212. #2361C22semidirect
213. #2361C22semidirect
216. #2357C22semidirect
217. #2354C22semidirect
218. #2353C22semidirect
219. #2352C22semidirect
220. #2352C22semidirect
221. #2352C22semidirect
222. #2352C22semidirect
223. #2352C22semidirect
224. #2352C22semidirect
225. #2351C22semidirect
226. Q8×C4⋊C4C22semidirect
228. #2349C22semidirect
230. D4×C4⋊C4C22semidirect
231. D4×C4⋊C4C22semidirect
232. #2347C22semidirect
233. #2347C22semidirect
234. #2346C22semidirect
235. #2346C22semidirect
236. #2345C22semidirect
237. #2345C22semidirect
238. #2344C22semidirect
239. #2344C22semidirect
244. #2328C22semidirect
245. #2328C22semidirect
246. #2327C22semidirect
247. #2326C22semidirect
248. #2324C22semidirect
249. #2324C22semidirect
250. #2324C22semidirect
251. #2323C22semidirect
257. #2317C22semidirect
260. #2316C22semidirect
266. C4×#127C22semidirect
267. C4×#124C22semidirect
268. C4×#124C22semidirect
269. C4×#124C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×#121C22semidirect
272. C4×#121C22semidirect
273. C4×#121C22semidirect
274. C4×#121C22semidirect
275. C4×#121C22semidirect
278. #2298C22semidirect
279. #2298C22semidirect
284. #2296C22semidirect
287. C2×#389C22semidirect
289. #2283C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598602
#598542
#596772
#595482
#593842
#593682
#453992
#453732
#450242
#450112
#440852
#440632
#392872
#392852
#392842
#392822
#391482
#391432
#365022
#364602
#356272
#355632
#355332
#355162
#352672
#352662
#352522
#347432
C2×#24202
#342652
#342502
#342082
#342022
#341092
C4×#5352