Finite Group Databasebeta

← #7650118

Subgroups — #7650118

Order 512.

6169 conjugacy classes of subgroups.

The subgroup lattice has 1989 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42989C212yesmaximal, complemented
2#42945C212yesmaximal, complemented
3#42838C212yesmaximal, complemented
4#42829C212yesmaximal, complemented
5#42598C212yesmaximal, complemented
6#42566C212yesmaximal, complemented
7#42448C212yesmaximal, complemented
8#42447C212yesmaximal, complemented
9#40837C214yesmaximal, complemented
10#40808C214yesmaximal, complemented
11#40140C212yesmaximal, complemented
12#40104C212yesmaximal, complemented
13#39933C212yesmaximal, complemented
14#39910C212yesmaximal, complemented
15#39396C212yesmaximal, complemented
16#39349C212yesmaximal, complemented
17#39218C212yesmaximal, complemented
18#39144C212yesmaximal, complemented
19#38500C214yesmaximal, complemented
20#37720C214yesmaximal, complemented
21#35563C211yesmaximal, characteristic, complemented
22#35556C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35540C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic, complemented
28#35250C211yesmaximal, characteristic, complemented
29#35227C211yesmaximal, characteristic, complemented
30#34946C211yesmaximal, characteristic, complemented
31#34736C211yesmaximal, characteristic, complemented
32C2×#2416C211yesmaximal, characteristic, complemented
33#34275C211yesmaximal, characteristic, complemented
34#34200C211yesmaximal, characteristic, complemented
35#34175C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#538C2214yescomplemented
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#533C2211yescharacteristic, complemented
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×#121C2212yes—
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic, complemented
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic
48C2×#518C2211yescharacteristic, complemented
49C22×C4×D4C2211yescharacteristic
50C23×C4⋊C4C2211yescharacteristic, complemented
51#2863C2212yescomplemented
52#2860C2212yescomplemented
53#2849C2214yescomplemented
54#2847C2212yescomplemented
55#2847C2212yescomplemented
56#2831C2214yescomplemented
57#2829C2214yescomplemented
58#2826C2214yescomplemented
59#2824C2214yescomplemented
60#2804C2214yescomplemented
61#2803C2214yescomplemented
62#2788C2214yescomplemented
63#2780C2214yescomplemented
64#2779C2214yescomplemented
65#2778C2214yescomplemented
66#2778C2214yescomplemented
67#2775C2214yescomplemented
68#2761C2214yescomplemented
69#2760C2214yescomplemented
70#2756C2214yescomplemented
71#2751C2214yescomplemented
72#2749C2214yescomplemented
73#2749C2214yescomplemented
74#2743C2214yescomplemented
75#2730C2214yescomplemented
76#2715C2214yescomplemented
77#2714C2214yescomplemented
78#2710C2214yescomplemented
79#2708C2214yescomplemented
80#2708C2214yescomplemented
81#2703C2214yescomplemented
82#2695C2214yescomplemented
83#2688C2214yescomplemented
84#2688C2214yescomplemented
85#2686C2214yescomplemented
86#2685C2214yescomplemented
87#2684C2214yescomplemented
88#2682C2214yescomplemented
89#2678C2214yescomplemented
90#2676C2214yescomplemented
91#2668C2214yescomplemented
92#2665C2214yescomplemented
93#2661C2214yescomplemented
94#2653C2214yescomplemented
95#2653C2214yescomplemented
96#2649C2214yescomplemented
97#2648C2214yescomplemented
98#2645C2212yescomplemented
99#2644C2212yescomplemented
100#2643C2214yescomplemented
101#2636C2214yescomplemented
102#2635C2214yescomplemented
103#2631C2214yescomplemented
104#2630C2214yescomplemented
105#2623C2214yescomplemented
106#2622C2214yescomplemented
107#2615C2212yescomplemented
108#2615C2212yescomplemented
109#2592C2212yescomplemented
110#2592C2212yescomplemented
111#2582C2212yescomplemented
112#2581C2212yescomplemented
113#2580C2212yescomplemented
114#2578C2214yescomplemented
115#2576C2214yescomplemented
116#2572C2214yescomplemented
117#2563C2211yescharacteristic, complemented
118#2563C2211yescharacteristic, complemented
119#2562C2211yescharacteristic, complemented
120#2562C2211yescharacteristic, complemented
121#2562C2211yescharacteristic, complemented
122#2562C2211yescharacteristic, complemented
123#2561C2212yes—
124#2561C2212yescomplemented
125#2559C2214yescomplemented
126#2557C2214yescomplemented
127#2555C2214yescomplemented
128#2548C2212yescomplemented
129#2548C2212yescomplemented
130#2547C2211yescharacteristic, complemented
131#2547C2211yescharacteristic, complemented
132#2538C2212yescomplemented
133#2537C2212yescomplemented
134#2537C2212yescomplemented
135#2535C2212yescomplemented
136#2535C2212yescomplemented
137#2534C2214yescomplemented
138#2510C2214yescomplemented
139#2504C2212yescomplemented
140#2503C2212yescomplemented
141#2503C2212yescomplemented
142#2502C2212yescomplemented
143#2501C2212yescomplemented
144#2497C2212yescomplemented
145#2497C2212yescomplemented
146#2497C2212yescomplemented
147#2496C2212yescomplemented
148#2496C2212yescomplemented
149#2496C2212yescomplemented
150#2495C2212yescomplemented
151#2495C2212yescomplemented
152#2495C2212yescomplemented
153#2494C2212yescomplemented
154#2494C2212yescomplemented
155#2494C2212yescomplemented
156#2493C2214yescomplemented
157#2491C2212yescomplemented
158#2491C2212yescomplemented
159#2490C2212yescomplemented
160#2490C2212yescomplemented
161#2487C2212yescomplemented
162#2487C2212yescomplemented
163#2486C2212yescomplemented
164#2486C2212yescomplemented
165#2483C2214yescomplemented
166#2481C2214yescomplemented
167#2480C2214yes—
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2456C2214yescomplemented
171#2456C2214yescomplemented
172#2450C2214yescomplemented
173#2450C2214yescomplemented
174#2449C2214yescomplemented
175#2444C2214yescomplemented
176#2442C2212yescomplemented
177#2441C2212yescomplemented
178#2440C2212yescomplemented
179#2439C2212yescomplemented
180#2436C2212yescomplemented
181#2435C2212yes—
182#2433C2212yescomplemented
183#2431C2212yescomplemented
184#2431C2212yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2428C2212yescomplemented
188#2428C2212yescomplemented
189#2427C2212yescomplemented
190#2427C2212yescomplemented
191#2426C2212yescomplemented
192#2426C2212yescomplemented
193#2424C2214yescomplemented
194#2422C2212yescomplemented
195#2422C2212yescomplemented
196#2422C2212yescomplemented
197#2422C2212yescomplemented
198#2420C2212yescomplemented
199#2420C2212yescomplemented
200#2420C2212yescomplemented
201#2420C2212yescomplemented
202#2418C2214yescomplemented
203#2416C2212yes—
204#2416C2212yes—
205#2416C2212yes—
206#2416C2212yes—
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2416C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2412C2214yescomplemented
216#2410C2214yescomplemented
217#2409C2211yescharacteristic, complemented
218#2409C2211yescharacteristic, complemented
219#2408C2211yescharacteristic, complemented
220#2408C2214yescomplemented
221#2408C2211yescharacteristic, complemented
222#2407C2211yescharacteristic, complemented
223#2407C2211yescharacteristic, complemented
224#2407C2211yescharacteristic, complemented
225#2407C2211yescharacteristic, complemented
226#2406C2212yes—
227#2405C2214yes—
228#2405C2212yes—
229#2404C2212yes—
230#2404C2214yes—
231#2403C2212yes—
232#2403C2214yes—
233#2398C2212yescomplemented
234#2398C2212yescomplemented
235C2×#396C2212yescomplemented
236#2388C2212yescomplemented
237#2388C2212yescomplemented
238C2×#394C2212yes—
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2361C2212yescomplemented
242#2361C2212yescomplemented
243#2361C2212yescomplemented
244#2361C2212yescomplemented
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2358C2214yescomplemented
248#2358C2214yescomplemented
249#2352C2212yescomplemented
250#2352C2212yescomplemented
251D4×C4⋊C4C2212yescomplemented
252D4×C4⋊C4C2212yescomplemented
253#2341C2212yescomplemented
254Q8×C22⋊C4C2212yescomplemented
255#2339C2214yes—
256#2339C2212yescomplemented
257D4×C22⋊C4C2214yes—
258D4×C22⋊C4C2212yescomplemented
259#2333C2214yescomplemented
260#2333C2214yescomplemented
261#2328C2212yescomplemented
262#2326C2212yescomplemented
263#2325C2214yescomplemented
264#2322C2214yescomplemented
265#2317C2211yescharacteristic, complemented
266#2317C2211yescharacteristic, complemented
267#2317C2211yescharacteristic, complemented
268#2317C2211yescharacteristic, complemented
269#2316C2211yescharacteristic, complemented
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2212yescomplemented
275#2311C2212yescomplemented
276#2309C2211yescharacteristic, complemented
277C4×#127C2212yescomplemented
278C4×#124C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×#120C2214yescomplemented
282C4×#120C2212yescomplemented
283C4×#120C2212yescomplemented
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286C2×#390C2211yescharacteristic, complemented
287C2×#389C2211yescharacteristic, complemented
288C2×#386C2212yescomplemented
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2212yescomplemented
293#2280C2211yescharacteristic, complemented
294#2280C2211yescharacteristic, complemented
295C2×#380C2211yescharacteristic
296C2×#380C2212yescomplemented
297#2274C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41—28no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C23×D4C2312yes—
311C23×D4C2311yescharacteristic
312C23×D4C2311yescharacteristic
313C23×D4C2312yes—
314C23×D4C2312yes—
315C24×C4C2311yescharacteristic
316C24×C4C2311yescharacteristic
317C24×C4C2312yes—
318C24×C4C2312yes—
319#538—416no—
320#535—28no—
321#535—44no—
322#533—44no—
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337#525—28no—
338#525—44no—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×#121—44no—
353C2×#121—44no—
354C2×#121—48no—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#120C2314yes—
380C2×#120C2312yes—
381C2×#120C2312yes—
382C2×#120C2314yes—
383C2×#120C2312yes—
384C2×#120C2314yes—
385C2×#120C2312yes—
386C2×#120C2314yes—
387#520—44no—
388#520—44no—
389#518—44no—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×D4—44no—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C22×C4⋊C4—44no—
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2312yes—
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2311yescharacteristic
442C22×C22⋊C4C2312yes—
443C22×C22⋊C4C2314yes—
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2314yes—
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2312yes—
449C22×C42C2311yescharacteristic
450#401C2314yes—
451#401C2314yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#395C2312yes—
503#395C2314yes—
504#395C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#393C2312yes—
536#393C2312yes—
537#393C2312yes—
538#393C2312yes—
539#393C2314yes—
540#393C2314yes—
541#393C2312yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2312yes—
553#392C2314yes—
554#392C2314yes—
555#392C2312yes—
556#392C2314yes—
557#392C2312yes—
558#392C2312yes—
559#392C2312yes—
560#392C2312yes—
561#392C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2314yes—
567#391C2314yes—
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2314yes—
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2312yes—
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#383C2314yes—
727#383C2314yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#381C2312yes—
735#381C2312yes—
736#381C2312yes—
737#381C2312yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2314yes—
775#380C2312yes—
776#380C2314yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2312yes—
782#379C2312yes—
783#379C2312yes—
784#379C2312yes—
785#379C2312yes—
786#379C2314yes—
787#379C2314yes—
788#379C2312yes—
789#379C2312yes—
790#379C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822#376C2312yes—
823C2×#95C2314yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C43C2312yes—
827C25C2411yescharacteristic
828C25C2411yescharacteristic
829C25C2412yes—
830C25C2412yes—
831C2×#41—24no—
832C2×#41—28no—
833C2×#41—24no—
834C2×#41—28no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—42no—
845C2×#41—42no—
846C2×#41—42no—
847C2×#41—42no—
848C2×#41—464no—
849C2×#41#4118yes—
850C22×Q8—24no—
851C22×Q8—42no—
852C22×Q8—42no—
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2412yes—
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×D4—28no—
859C22×D4—24no—
860C22×D4—24no—
861C22×D4—24no—
862C22×D4—24no—
863C22×D4—24no—
864C22×D4—42no—
865C22×D4—42no—
866C22×D4—42no—
867C22×D4—44no—
868C22×D4—44no—
869C22×D4—42no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4—44no—
874C22×D4—44no—
875C22×D4—82no—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2411yescharacteristic
901C23×C4—24no—
902C23×C4—28no—
903C23×C4—24no—
904C23×C4—24no—
905C23×C4—24no—
906C23×C4—24no—
907C23×C4—24no—
908C23×C4—44no—
909C23×C4—44no—
910C23×C4—44no—
911C23×C4—44no—
912C23×C4—82no—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2414yes—
939C23×C4C2411yescharacteristic
940C4⋊Q8—42no—
941C4⋊Q8—42no—
942#127—28no—
943#127—44no—
944#126—48no—
945#126—48no—
946#125—42no—
947#125—42no—
948#124—28no—
949#124—28no—
950#124—44no—
951#124—44no—
952#124—48no—
953#124—84no—
954#123—28no—
955#123—48no—
956#123—44no—
957#123—48no—
958#123—84no—
959#123—84no—
960C22⋊Q8—24no—
961C22⋊Q8—24no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8—48no—
965C22⋊Q8—42no—
966C22⋊Q8—42no—
967#121—24no—
968#121—24no—
969#121—216no—
970#121—28no—
971#121—28no—
972#121—48no—
973#121—48no—
974#121—48no—
975#121—48no—
976#121—48no—
977#121—48no—
978#121—44no—
979#121—44no—
980#121—44no—
981#121—44no—
982#121—44no—
983#121—44no—
984#121—44no—
985#121—44no—
986#121—42no—
987#121—42no—
988#121—44no—
989#121—44no—
990#121—48no—
991#120—28no—
992#120—216no—
993#120—28no—
994#120—44no—
995#120—48no—
996#120—48no—
997#120—44no—
998#120—84no—
999C4×Q8—44no—
1000C4×Q8—44no—
1001C4×Q8—44no—
1002C4×Q8—44no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—48no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C4×D4—42no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—48no—
1023C4×D4—48no—
1024C4×D4—48no—
1025C4×D4—84no—
1026C4×D4—84no—
1027#117—24no—
1028#117—24no—
1029#117—24no—
1030#117—24no—
1031#117—24no—
1032#117—24no—
1033#117—44no—
1034#117—44no—
1035C2×C4⋊C4—24no—
1036C2×C4⋊C4—24no—
1037C2×C4⋊C4—24no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—44no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4—44no—
1044C2×C4⋊C4—44no—
1045C2×C4⋊C4—44no—
1046C2×C4⋊C4—42no—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C22⋊C4—44no—
1096C2×C22⋊C4—48no—
1097C2×C22⋊C4—44no—
1098C2×C22⋊C4—48no—
1099C2×C22⋊C4—42no—
1100C2×C22⋊C4—42no—
1101C2×C22⋊C4—44no—
1102C2×C22⋊C4—44no—
1103C2×C22⋊C4—82no—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C42—24no—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2412yes—
1199C2×C42C2414yes—
1200C2×C42C2414yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—24no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—24no—
1270C24—24no—
1271C24—24no—
1272C24—24no—
1273C24—41no—
1274C24—41no—
1275C24—42no—
1276C24—42no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—42no—
1281C24—42no—
1282C24—42no—
1283C24—42no—
1284C24—42no—
1285C24—42no—
1286C24—42no—
1287C24C2514yes—
1288C24C2512yes—
1289C24C2511yescharacteristic
1290C24C2512yes—
1291C24C2511yescharacteristic
1292C24C2511yescharacteristic
1293C24C2511yescharacteristic
1294C24C2511yescharacteristic
1295#41—232no—
1296#41—432no—
1297#41—432no—
1298#41—416no—
1299#41—416no—
1300#41—416no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—22no—
1304C2×Q8—22no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—24no—
1308C2×Q8—42no—
1309C2×Q8—42no—
1310C2×Q8—42no—
1311C2×Q8—42no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8—42no—
1315C2×Q8—416no—
1316C2×Q8C2×#4114yes—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—22no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—42no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—432no—
1390C2×D4—416no—
1391C2×D4—416no—
1392C2×D4—416no—
1393C2×D4—816no—
1394C2×D4—816no—
1395C2×D4C2×#4118yes—
1396C2×D4C2×#4114yes—
1397C2×D4H(5,𝔽2)14yes—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—24no—
1411C22×C4—24no—
1412C22×C4—28no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—24no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—41no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—41no—
1455C22×C4—42no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—41no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—432no—
1476C22×C4—416no—
1477C22×C4—416no—
1478C22×C4—816no—
1479C22×C4C2×#4118yes—
1480C22×C4C2×#4114yes—
1481C22×C4H(5,𝔽2)14yes—
1482C22×C4H(5,𝔽2)14yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2514yes—
1495C22×C4C2514yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2514yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—28no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—41no—
1534C4⋊C4—41no—
1535C4⋊C4—41no—
1536C4⋊C4—41no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—42no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—44no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—41no—
1582C22⋊C4—41no—
1583C22⋊C4—41no—
1584C22⋊C4—41no—
1585C22⋊C4—41no—
1586C22⋊C4—41no—
1587C22⋊C4—41no—
1588C22⋊C4—41no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C42—24no—
1639C42—24no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—24no—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—42no—
1650C42—44no—
1651C42—44no—
1652C42—44no—
1653C42—42no—
1654C42—44no—
1655C42—42no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—28no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—22no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—22no—
1671C23—22no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—22no—
1676C23—21no—
1677C23—22no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—22no—
1685C23—24no—
1686C23—22no—
1687C23—21no—
1688C23—22no—
1689C23—24no—
1690C23—24no—
1691C23—21no—
1692C23—24no—
1693C23—21no—
1694C23—22no—
1695C23—21no—
1696C23—22no—
1697C23—21no—
1698C23—22no—
1699C23—24no—
1700C23—22no—
1701C23—21no—
1702C23—24no—
1703C23—21no—
1704C23—24no—
1705C23—22no—
1706C23—44no—
1707C23—44no—
1708C23—44no—
1709C23—44no—
1710C23—44no—
1711C23—44no—
1712C23—44no—
1713C23—48no—
1714C23—44no—
1715C23—48no—
1716C23—44no—
1717C23—44no—
1718C23—48no—
1719C23—82no—
1720C23—82no—
1721C23—82no—
1722C23—84no—
1723C23—84no—
1724C23—84no—
1725C23—84no—
1726C23—84no—
1727C23—84no—
1728C23—84no—
1729C23—84no—
1730C23—84no—
1731C23—84no—
1732C23—84no—
1733C23C22×#4114yes—
1734C23C22×#4112yes—
1735C23C2×H(5,𝔽2)12yes—
1736C23C2×H(5,𝔽2)12yes—
1737C23C2×H(5,𝔽2)12yes—
1738C23C2×H(5,𝔽2)12yes—
1739C23#58512yes—
1740C23C2611yescharacteristic
1741Q8—28no—
1742Q8—48no—
1743Q8—44no—
1744Q8—84no—
1745Q8—84no—
1746D4—216no—
1747D4—28no—
1748D4—44no—
1749D4—44no—
1750D4—48no—
1751D4—48no—
1752D4—48no—
1753D4—44no—
1754D4—44no—
1755D4—48no—
1756D4—48no—
1757D4—48no—
1758D4—48no—
1759D4—48no—
1760D4—44no—
1761D4—88no—
1762D4—88no—
1763D4—84no—
1764D4—84no—
1765D4—88no—
1766D4—88no—
1767D4—88no—
1768D4—88no—
1769D4—164no—
1770D4—164no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—216no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—24no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—24no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—24no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—44no—
1846C2×C4—48no—
1847C2×C4—48no—
1848C2×C4—48no—
1849C2×C4—48no—
1850C2×C4—44no—
1851C2×C4—44no—
1852C2×C4—44no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—44no—
1858C2×C4—44no—
1859C2×C4—44no—
1860C2×C4—48no—
1861C2×C4—82no—
1862C2×C4—88no—
1863C2×C4—84no—
1864C2×C4—84no—
1865C2×C4—88no—
1866C2×C4—164no—
1867C2×C4—164no—
1868C2×C4—164no—
1869C2×C4—164no—
1870C2×C4#538116yescomplemented
1871C2×C4C22×#4114yes—
1872C2×C4C22×#4112yes—
1873C2×C4C22×#4112yes—
1874C2×C4C2×H(5,𝔽2)12yes—
1875C2×C4C2×H(5,𝔽2)12yes—
1876C2×C4C2×H(5,𝔽2)12yes—
1877C2×C4C2×H(5,𝔽2)12yes—
1878C2×C4C2×H(5,𝔽2)12yes—
1879C22—22no—
1880C22—22no—
1881C22—22no—
1882C22—22no—
1883C22—22no—
1884C22—22no—
1885C22—22no—
1886C22—24no—
1887C22—22no—
1888C22—22no—
1889C22—24no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—24no—
1896C22—22no—
1897C22—416no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—42no—
1902C22—41no—
1903C22—41no—
1904C22—42no—
1905C22—41no—
1906C22—41no—
1907C22—42no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—42no—
1913C22—41no—
1914C22—44no—
1915C22—42no—
1916C22—41no—
1917C22—44no—
1918C22—41no—
1919C22—42no—
1920C22—41no—
1921C22—44no—
1922C22—42no—
1923C22—42no—
1924C22—44no—
1925C22—41no—
1926C22—44no—
1927C22—41no—
1928C22—42no—
1929C22—42no—
1930C22—41no—
1931C22—44no—
1932C22—44no—
1933C22—42no—
1934C22—41no—
1935C22—88no—
1936C22—816no—
1937C22—168no—
1938C22C2×#53814yes—
1939C22C23×#4111yescharacteristic
1940C22C22×H(5,𝔽2)11yescharacteristic
1941C22C22×H(5,𝔽2)11yescharacteristic
1942C22C22×H(5,𝔽2)11yescharacteristic
1943C22C2×#58511yescharacteristic
1944C22H(7,𝔽2)11yescharacteristic
1945C222−1+611yescharacteristic
1946C4—22no—
1947C4—24no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—41no—
1953C4—44no—
1954C4—42no—
1955C4—42no—
1956C4—41no—
1957C4—41no—
1958C4—42no—
1959C4—42no—
1960C4—44no—
1961C4—44no—
1962C4—42no—
1963C4—42no—
1964C4—41no—
1965C4—41no—
1966C4—41no—
1967C4—41no—
1968C4—42no—
1969C4—42no—
1970C4—42no—
1971C4C2×#53814yes—
1972C4C2×#53814yes—
1973C2—24no—
1974C2—42no—
1975C2—42no—
1976C2—44no—
1977C2—42no—
1978C2—81no—
1979C2—82no—
1980C2—84no—
1981C2C22×#53811yescharacteristic
1982C2#6281811yescharacteristic
1983C2#6287511yescharacteristic
1984C2#6291211yescharacteristic
1985C2#6295411yescharacteristic
1986C2#6298511yescharacteristic
1987C2#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. #42989C2semidirect
2. #42945C2semidirect
3. #42838C2semidirect
4. #42829C2semidirect
5. #42598C2semidirect
6. #42566C2semidirect
7. #42448C2semidirect
8. #42447C2semidirect
9. #40837C2semidirect
10. #40808C2semidirect
11. #40140C2semidirect
12. #40104C2semidirect
13. #39933C2semidirect
14. #39910C2semidirect
15. #39396C2semidirect
16. #39349C2semidirect
17. #39218C2semidirect
18. #39144C2semidirect
19. #38500C2semidirect
20. #37720C2semidirect
21. #35563C2semidirect
22. #35556C2semidirect
23. #35544C2semidirect
24. #35540C2semidirect
25. #35519C2semidirect
26. #35514C2semidirect
27. #35267C2semidirect
28. #35250C2semidirect
29. #35227C2semidirect
30. #34946C2semidirect
31. #34736C2semidirect
32. C2×#2416C2semidirect
33. #34275C2semidirect
34. #34200C2semidirect
35. #34175C2semidirect
37. C2×#538C22semidirect
40. C2×#533C22semidirect
45. C22×#121C22semidirect
48. C2×#518C22semidirect
50. C23×C4⋊C4C22semidirect
51. #2863C22semidirect
52. #2860C22semidirect
53. #2849C22semidirect
54. #2847C22semidirect
55. #2847C22semidirect
56. #2831C22semidirect
57. #2829C22semidirect
58. #2826C22semidirect
59. #2824C22semidirect
60. #2804C22semidirect
61. #2803C22semidirect
62. #2788C22semidirect
63. #2780C22semidirect
64. #2779C22semidirect
65. #2778C22semidirect
66. #2778C22semidirect
67. #2775C22semidirect
68. #2761C22semidirect
69. #2760C22semidirect
70. #2756C22semidirect
71. #2751C22semidirect
72. #2749C22semidirect
73. #2749C22semidirect
74. #2743C22semidirect
75. #2730C22semidirect
76. #2715C22semidirect
77. #2714C22semidirect
78. #2710C22semidirect
79. #2708C22semidirect
80. #2708C22semidirect
81. #2703C22semidirect
82. #2695C22semidirect
83. #2688C22semidirect
84. #2688C22semidirect
85. #2686C22semidirect
86. #2685C22semidirect
87. #2684C22semidirect
88. #2682C22semidirect
89. #2678C22semidirect
90. #2676C22semidirect
91. #2668C22semidirect
92. #2665C22semidirect
93. #2661C22semidirect
94. #2653C22semidirect
95. #2653C22semidirect
96. #2649C22semidirect
97. #2648C22semidirect
98. #2645C22semidirect
99. #2644C22semidirect
100. #2643C22semidirect
101. #2636C22semidirect
102. #2635C22semidirect
103. #2631C22semidirect
104. #2630C22semidirect
105. #2623C22semidirect
106. #2622C22semidirect
107. #2615C22semidirect
108. #2615C22semidirect
109. #2592C22semidirect
110. #2592C22semidirect
111. #2582C22semidirect
112. #2581C22semidirect
113. #2580C22semidirect
114. #2578C22semidirect
115. #2576C22semidirect
116. #2572C22semidirect
117. #2563C22semidirect
118. #2563C22semidirect
119. #2562C22semidirect
120. #2562C22semidirect
121. #2562C22semidirect
122. #2562C22semidirect
124. #2561C22semidirect
125. #2559C22semidirect
126. #2557C22semidirect
127. #2555C22semidirect
128. #2548C22semidirect
129. #2548C22semidirect
130. #2547C22semidirect
131. #2547C22semidirect
132. #2538C22semidirect
133. #2537C22semidirect
134. #2537C22semidirect
135. #2535C22semidirect
136. #2535C22semidirect
137. #2534C22semidirect
138. #2510C22semidirect
139. #2504C22semidirect
140. #2503C22semidirect
141. #2503C22semidirect
142. #2502C22semidirect
143. #2501C22semidirect
144. #2497C22semidirect
145. #2497C22semidirect
146. #2497C22semidirect
147. #2496C22semidirect
148. #2496C22semidirect
149. #2496C22semidirect
150. #2495C22semidirect
151. #2495C22semidirect
152. #2495C22semidirect
153. #2494C22semidirect
154. #2494C22semidirect
155. #2494C22semidirect
156. #2493C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2490C22semidirect
160. #2490C22semidirect
161. #2487C22semidirect
162. #2487C22semidirect
163. #2486C22semidirect
164. #2486C22semidirect
165. #2483C22semidirect
166. #2481C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2456C22semidirect
171. #2456C22semidirect
172. #2450C22semidirect
173. #2450C22semidirect
174. #2449C22semidirect
175. #2444C22semidirect
176. #2442C22semidirect
177. #2441C22semidirect
178. #2440C22semidirect
179. #2439C22semidirect
180. #2436C22semidirect
182. #2433C22semidirect
183. #2431C22semidirect
184. #2431C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
188. #2428C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
193. #2424C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2422C22semidirect
198. #2420C22semidirect
199. #2420C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2418C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2412C22semidirect
216. #2410C22semidirect
217. #2409C22semidirect
218. #2409C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
233. #2398C22semidirect
234. #2398C22semidirect
235. C2×#396C22semidirect
236. #2388C22semidirect
237. #2388C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2361C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
247. #2358C22semidirect
248. #2358C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. D4×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2341C22semidirect
254. Q8×C22⋊C4C22semidirect
256. #2339C22semidirect
258. D4×C22⋊C4C22semidirect
259. #2333C22semidirect
260. #2333C22semidirect
261. #2328C22semidirect
262. #2326C22semidirect
263. #2325C22semidirect
264. #2322C22semidirect
265. #2317C22semidirect
266. #2317C22semidirect
267. #2317C22semidirect
268. #2317C22semidirect
269. #2316C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. #2309C22semidirect
277. C4×#127C22semidirect
278. C4×#124C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×#120C22semidirect
282. C4×#120C22semidirect
283. C4×#120C22semidirect
286. C2×#390C22semidirect
287. C2×#389C22semidirect
288. C2×#386C22semidirect
292. #2280C22semidirect
293. #2280C22semidirect
294. #2280C22semidirect
296. C2×#380C22semidirect
297. #2274C22semidirect
298. C4×#117C22semidirect
1870. C2×C4#538semidirect

Maximal subgroups

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

subgroupindex
#429892
#429452
#428382
#428292
#425982
#425662
#424482
#424472
#408372
#408082
#401402
#401042
#399332
#399102
#393962
#393492
#392182
#391442
#385002
#377202
#355632
#355562
#355442
#355402
#355192
#355142
#352672
#352502
#352272
#349462
#347362
C2×#24162
#342752
#342002
#341752