Finite Group Databasebeta

← #7779553

Subgroups — #7779553

Order 512.

5725 conjugacy classes of subgroups.

The subgroup lattice has 1910 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59650C212yesmaximal, complemented
2#59234C211yesmaximal, characteristic, complemented
3#59220C211yesmaximal, characteristic, complemented
4#59057C212yesmaximal, complemented
5#59049C211yesmaximal, characteristic, complemented
6#59035C211yesmaximal, characteristic, complemented
7#50108C214yesmaximal, complemented
8#48309C214yesmaximal, complemented
9#47156C214yesmaximal, complemented
10#46586C214yesmaximal, complemented
11#45701C212yesmaximal, complemented
12#45593C212yesmaximal, complemented
13#45398C212yesmaximal, complemented
14#45353C212yesmaximal, complemented
15#42619C212yesmaximal, complemented
16#42557C212yesmaximal, complemented
17#40222C212yesmaximal, complemented
18#39876C212yesmaximal, complemented
19#39471C212yesmaximal, complemented
20#39468C211yesmaximal, characteristic, complemented
21#39342C211yesmaximal, characteristic, complemented
22#39334C212yesmaximal, complemented
23#39222C212yesmaximal, complemented
24#39198C212yesmaximal, complemented
25#37325C212yesmaximal, complemented
26#36587C211yesmaximal, characteristic, complemented
27#36586C211yesmaximal, characteristic, complemented
28#36561C211yesmaximal, characteristic, complemented
29#36504C211yesmaximal, characteristic, complemented
30#36258C211yesmaximal, characteristic, complemented
31#36126C211yesmaximal, characteristic, complemented
32#35292C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34411C212yesmaximal, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#554C2212yescomplemented
38C2×#547C2212yescomplemented
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#537C2211yescharacteristic
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2212yescomplemented
47C2×#532C2212yescomplemented
48C2×C4×#41C2211yescharacteristic
49C2×C4×#41C2211yescharacteristic, complemented
50#2857C2211yescharacteristic, complemented
51#2857C2212yescomplemented
52#2857C2211yescharacteristic, complemented
53#2856C2211yescharacteristic
54#2856C2211yescharacteristic
55#2854C2212yes—
56#2854C2212yescomplemented
57#2850C2212yes—
58#2850C2212yescomplemented
59#2850C2212yescomplemented
60#2837C2214yescomplemented
61#2825C2214yescomplemented
62#2803C2214yescomplemented
63#2803C2214yescomplemented
64#2797C2214yescomplemented
65#2797C2214yescomplemented
66#2788C2214yescomplemented
67#2782C2214yescomplemented
68#2778C2214yescomplemented
69#2775C2214yescomplemented
70#2759C2214yescomplemented
71#2757C2214yescomplemented
72#2756C2214yescomplemented
73#2756C2214yescomplemented
74#2756C2214yescomplemented
75#2738C2214yescomplemented
76#2735C2214yescomplemented
77#2730C2214yescomplemented
78#2730C2214yescomplemented
79#2715C2214yescomplemented
80#2714C2214yescomplemented
81#2711C2214yescomplemented
82#2710C2214yescomplemented
83#2710C2214yescomplemented
84#2710C2214yescomplemented
85#2708C2214yescomplemented
86#2703C2214yescomplemented
87#2703C2214yescomplemented
88#2703C2214yescomplemented
89#2697C2214yescomplemented
90#2696C2214yescomplemented
91#2693C2214yescomplemented
92#2691C2214yescomplemented
93#2687C2214yescomplemented
94#2674C2214yescomplemented
95#2673C2214yescomplemented
96#2670C2214yes—
97#2670C2214yescomplemented
98#2669C2214yes—
99#2669C2214yescomplemented
100#2668C2214yes—
101#2668C2214yescomplemented
102#2653C2214yescomplemented
103#2651C2214yescomplemented
104#2635C2214yescomplemented
105#2624C2212yescomplemented
106#2622C2214yescomplemented
107#2616C2212yescomplemented
108#2615C2212yes—
109#2615C2212yescomplemented
110#2598C2214yescomplemented
111#2597C2214yescomplemented
112#2596C2214yescomplemented
113#2592C2212yescomplemented
114#2580C2212yescomplemented
115#2578C2214yescomplemented
116#2571C2211yescharacteristic, complemented
117#2564C2214yescomplemented
118#2558C2214yescomplemented
119#2556C2214yescomplemented
120#2555C2214yescomplemented
121#2551C2211yescharacteristic, complemented
122#2548C2211yescharacteristic
123#2548C2211yescharacteristic
124#2548C2212yescomplemented
125#2547C2211yescharacteristic
126#2547C2212yescomplemented
127#2547C2211yescharacteristic, complemented
128#2546C2211yescharacteristic, complemented
129#2545C2212yescomplemented
130#2544C2212yes—
131#2544C2212yescomplemented
132#2543C2212yescomplemented
133#2543C2212yescomplemented
134#2542C2211yescharacteristic
135#2541C2212yes—
136#2541C2211yescharacteristic
137#2541C2211yescharacteristic
138#2540C2214yescomplemented
139#2540C2212yescomplemented
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2538C2211yescharacteristic
143#2537C2212yes—
144#2537C2211yescharacteristic
145#2536C2212yescomplemented
146#2535C2212yes—
147#2535C2212yescomplemented
148#2535C2212yescomplemented
149#2525C2214yescomplemented
150#2514C2212yescomplemented
151#2513C2212yes—
152#2513C2212yescomplemented
153#2513C2212yescomplemented
154#2510C2214yescomplemented
155#2506C2212yescomplemented
156#2504C2212yescomplemented
157#2495C2212yescomplemented
158#2495C2212yescomplemented
159#2495C2212yescomplemented
160#2494C2212yescomplemented
161#2492C2214yescomplemented
162#2492C2212yescomplemented
163#2492C2212yescomplemented
164#2491C2212yes—
165#2491C2212yes—
166#2491C2212yescomplemented
167#2490C2214yescomplemented
168#2487C2212yescomplemented
169#2487C2212yescomplemented
170#2487C2212yescomplemented
171#2485C2212yescomplemented
172#2479C2214yescomplemented
173#2474C2214yescomplemented
174#2472C2214yescomplemented
175#2472C2214yescomplemented
176#2467C2214yescomplemented
177#2467C2214yescomplemented
178#2461C2214yescomplemented
179#2454C2214yescomplemented
180#2452C2212yes—
181#2452C2212yescomplemented
182#2451C2212yescomplemented
183#2448C2212yes—
184#2448C2212yescomplemented
185#2447C2212yescomplemented
186#2445C2212yescomplemented
187#2444C2214yescomplemented
188#2437C2214yescomplemented
189#2435C2212yes—
190#2433C2212yes—
191#2431C2212yescomplemented
192#2431C2214yescomplemented
193#2430C2214yescomplemented
194#2428C2214yescomplemented
195#2427C2212yes—
196#2427C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2212yes—
199#2426C2212yes—
200#2424C2214yes—
201#2424C2214yescomplemented
202#2423C2212yescomplemented
203#2422C2212yes—
204#2418C2214yes—
205#2418C2214yescomplemented
206#2417C2212yescomplemented
207#2417C2212yescomplemented
208#2416C2211yescharacteristic
209#2416C2212yes—
210#2416C2211yescharacteristic
211#2416C2211yescharacteristic, complemented
212#2416C2212yescomplemented
213#2416C2211yescharacteristic, complemented
214#2415C2212yescomplemented
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yescomplemented
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2411C2214yes—
221#2408C2212yes—
222#2408C2212yes—
223#2408C2212yes—
224#2408C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yescomplemented
228#2407C2214yescomplemented
229#2407C2214yescomplemented
230#2407C2212yescomplemented
231#2404C2214yescomplemented
232#2392C2212yescomplemented
233#2392C2212yescomplemented
234#2380C2214yescomplemented
235#2375C2214yescomplemented
236#2369C2212yescomplemented
237#2366C2211yescharacteristic
238#2366C2214yescomplemented
239#2365C2211yescharacteristic, complemented
240#2363C2212yes—
241#2363C2212yescomplemented
242#2361C2212yes—
243#2361C2212yescomplemented
244#2361C2212yescomplemented
245#2361C2212yescomplemented
246#2360C2212yescomplemented
247#2358C2214yescomplemented
248#2357C2212yescomplemented
249#2355C2211yescharacteristic, complemented
250#2354C2211yescharacteristic
251#2354C2212yescomplemented
252#2352C2212yescomplemented
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic, complemented
255#2347C2212yescomplemented
256#2347C2212yescomplemented
257#2341C2212yescomplemented
258D4×C22⋊C4C2212yes—
259D4×C22⋊C4C2212yes—
260#2337C2214yescomplemented
261#2337C2214yescomplemented
262#2325C2212yescomplemented
263#2325C2212yescomplemented
264#2324C2211yescharacteristic
265#2324C2211yescharacteristic
266#2324C2212yescomplemented
267#2324C2212yescomplemented
268#2324C2212yescomplemented
269#2323C2211yescharacteristic, complemented
270#2323C2211yescharacteristic, complemented
271#2323C2212yescomplemented
272#2321C2214yescomplemented
273#2321C2214yescomplemented
274#2316C2211yescharacteristic, complemented
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic, complemented
277#2311C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2212yescomplemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292C4×#121C2212yescomplemented
293C4×#121C2211yescharacteristic, complemented
294#2297C2212yescomplemented
295C2×#390C2212yes—
296#2285C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#556—44no—
307#554—48no—
308#547—48no—
309#546—48no—
310#546—48no—
311D42—44no—
312#537—28no—
313#535—216no—
314#532—44no—
315#532—44no—
316#532—48no—
317#532—48no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2314yes—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#126C2314yes—
329C2×#125C2314yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2311yescharacteristic
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2311yescharacteristic
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C4×#41—44no—
396C4×#41—44no—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×#117C2312yes—
433C2×#117C2311yescharacteristic
434C2×#117C2311yescharacteristic
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2312yes—
439C2×#117C2312yes—
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2314yes—
448C22×C22⋊C4C2314yes—
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2312yes—
453C22×C42C2312yes—
454C22×C42C2312yes—
455#401C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2314yes—
467#399C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2314yes—
493#396C2312yes—
494#396C2312yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#395C2314yes—
500#395C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2312yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2312yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2314yes—
602#390C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2312yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2312yes—
744#383C2314yes—
745#383C2314yes—
746#383C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#382C2312yes—
751#381C2314yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2314yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C25C2414yes—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—42no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—48no—
834C2×#41—42no—
835C2×#41—44no—
836C2×#41—48no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—84no—
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2414yes—
844C22×Q8C2412yes—
845C22×D4—28no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2414yes—
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C4⋊Q8—28no—
902C4⋊Q8—24no—
903C4⋊Q8—42no—
904C4⋊Q8—44no—
905C4⋊Q8—44no—
906#127—216no—
907#127—24no—
908#127—42no—
909#127—44no—
910#127—44no—
911#126—48no—
912#125—48no—
913#124—216no—
914#124—44no—
915#124—44no—
916#124—44no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—44no—
921#124—48no—
922#124—84no—
923#123—48no—
924#123—48no—
925#123—48no—
926#123—48no—
927C22⋊Q8—24no—
928C22⋊Q8—24no—
929C22⋊Q8—28no—
930C22⋊Q8—28no—
931C22⋊Q8—48no—
932C22⋊Q8—48no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937C22⋊Q8—48no—
938C22⋊Q8—44no—
939#121—28no—
940#121—24no—
941#121—28no—
942#121—28no—
943#121—28no—
944#121—28no—
945#121—28no—
946#121—24no—
947#121—24no—
948#121—28no—
949#121—44no—
950#121—44no—
951#121—48no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—48no—
956#121—42no—
957#121—42no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—42no—
963#121—42no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—48no—
968#121—44no—
969#121—82no—
970#121—82no—
971#121#4118yescomplemented
972#120—216no—
973#120—216no—
974#120—48no—
975#120—48no—
976#120—48no—
977#120—84no—
978C4×Q8—24no—
979C4×Q8—42no—
980C4×Q8—42no—
981C4×Q8—42no—
982C4×Q8—44no—
983C4×Q8—44no—
984C4×D4—28no—
985C4×D4—28no—
986C4×D4—28no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—42no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—42no—
997C4×D4—42no—
998C4×D4—42no—
999C4×D4—42no—
1000C4×D4—42no—
1001C4×D4—42no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—48no—
1010C4×D4—48no—
1011C4×D4—84no—
1012C4×D4—84no—
1013#117—28no—
1014#117—42no—
1015#117—42no—
1016#117—42no—
1017#117—44no—
1018#117—42no—
1019#117—44no—
1020#117—82no—
1021C2×C4⋊C4—24no—
1022C2×C4⋊C4—24no—
1023C2×C4⋊C4—24no—
1024C2×C4⋊C4—42no—
1025C2×C4⋊C4—44no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C22⋊C4—48no—
1083C2×C22⋊C4—48no—
1084C2×C22⋊C4—84no—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C42—24no—
1162C2×C42—24no—
1163C2×C42—24no—
1164C2×C42—44no—
1165C2×C42—44no—
1166C2×C42—44no—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2414yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2412yes—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2414yes—
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243C24—28no—
1244C24—44no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24—44no—
1249C24—44no—
1250C24C2512yes—
1251C24C2514yes—
1252C24C2511yescharacteristic
1253C24C2512yes—
1254C24C2512yes—
1255C24C2511yescharacteristic
1256C24C2511yescharacteristic
1257#41—416no—
1258#41—416no—
1259#41—816no—
1260#41—816no—
1261#41—832no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—22no—
1266C2×Q8—24no—
1267C2×Q8—24no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—28no—
1271C2×Q8—24no—
1272C2×Q8—41no—
1273C2×Q8—44no—
1274C2×Q8—42no—
1275C2×Q8—42no—
1276C2×Q8—44no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—28no—
1286C2×D4—28no—
1287C2×D4—24no—
1288C2×D4—28no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—28no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—24no—
1313C2×D4—42no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—44no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—44no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—42no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—44no—
1359C2×D4—816no—
1360C2×D4—816no—
1361C2×D4C2×#4114yes—
1362C2×D4C2×#4118yes—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—28no—
1396C22×C4—24no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—42no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4C2×#4114yes—
1428C22×C4H(5,𝔽2)14yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2514yes—
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2512yes—
1446C22×C4C2514yes—
1447C22×C4C2512yes—
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—41no—
1493C4⋊C4—41no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4C2×#4114yes—
1511C4⋊C4H(5,𝔽2)14yes—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—28no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—28no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—24no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—41no—
1544C22⋊C4—41no—
1545C22⋊C4—41no—
1546C22⋊C4—41no—
1547C22⋊C4—41no—
1548C22⋊C4—42no—
1549C22⋊C4—41no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4C2×#4118yes—
1588C42—28no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—22no—
1598C42—24no—
1599C42—24no—
1600C42—24no—
1601C42—24no—
1602C42—24no—
1603C42—42no—
1604C42—42no—
1605C42—42no—
1606C42—42no—
1607C42—42no—
1608C42—42no—
1609C42—44no—
1610C42—44no—
1611C42—44no—
1612C42—44no—
1613C42H(5,𝔽2)14yes—
1614C23—21no—
1615C23—22no—
1616C23—22no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—22no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—22no—
1625C23—21no—
1626C23—21no—
1627C23—22no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—22no—
1632C23—21no—
1633C23—22no—
1634C23—24no—
1635C23—22no—
1636C23—22no—
1637C23—24no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—24no—
1643C23—22no—
1644C23—21no—
1645C23—24no—
1646C23—21no—
1647C23—21no—
1648C23—22no—
1649C23—24no—
1650C23—22no—
1651C23—21no—
1652C23—21no—
1653C23—22no—
1654C23—24no—
1655C23—22no—
1656C23—24no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—88no—
1661C23—88no—
1662C23—88no—
1663C23—88no—
1664C23—88no—
1665C23—164no—
1666C23—164no—
1667C23C22×#4114yes—
1668C23C22×#4112yes—
1669C23C2×H(5,𝔽2)12yes—
1670C23C2611yescharacteristic
1671Q8—44no—
1672Q8—44no—
1673Q8—48no—
1674Q8—84no—
1675Q8—88no—
1676D4—28no—
1677D4—48no—
1678D4—44no—
1679D4—44no—
1680D4—48no—
1681D4—44no—
1682D4—48no—
1683D4—48no—
1684D4—44no—
1685D4—44no—
1686D4—48no—
1687D4—88no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—84no—
1692D4—88no—
1693D4—88no—
1694D4—84no—
1695D4—88no—
1696D4—84no—
1697D4—84no—
1698D4—88no—
1699D4—84no—
1700D4—84no—
1701D4—88no—
1702D4—88no—
1703D4—88no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—28no—
1715C2×C4—28no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—24no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—48no—
1780C2×C4—44no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—44no—
1784C2×C4—48no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—48no—
1788C2×C4—44no—
1789C2×C4—84no—
1790C2×C4—82no—
1791C2×C4—82no—
1792C2×C4—84no—
1793C2×C4—88no—
1794C2×C4—84no—
1795C2×C4—84no—
1796C2×C4—88no—
1797C2×C4—88no—
1798C2×C4—164no—
1799C2×C4C22×#4114yes—
1800C2×C4C22×#4112yes—
1801C2×C4C22×#4112yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4C2×H(5,𝔽2)12yes—
1804C2×C4C2×H(5,𝔽2)14yes—
1805C2×C4C2×H(5,𝔽2)12yes—
1806C2×C4C2×H(5,𝔽2)12yes—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4#58512yes—
1810C22—22no—
1811C22—24no—
1812C22—22no—
1813C22—24no—
1814C22—22no—
1815C22—22no—
1816C22—24no—
1817C22—22no—
1818C22—22no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—42no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—42no—
1827C22—41no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—41no—
1833C22—44no—
1834C22—42no—
1835C22—41no—
1836C22—44no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—44no—
1841C22—41no—
1842C22—42no—
1843C22—41no—
1844C22—42no—
1845C22—42no—
1846C22—44no—
1847C22—41no—
1848C22—42no—
1849C22—44no—
1850C22—42no—
1851C22—42no—
1852C22—44no—
1853C22—41no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—44no—
1859C22—1616no—
1860C22C23×#4111yescharacteristic
1861C22C22×H(5,𝔽2)11yescharacteristic
1862C22C22×H(5,𝔽2)11yescharacteristic
1863C22C22×H(5,𝔽2)11yescharacteristic
1864C22C2×#58511yescharacteristic
1865C22H(7,𝔽2)11yescharacteristic
1866C222−1+611yescharacteristic
1867C4—24no—
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—24no—
1872C4—42no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—42no—
1877C4—44no—
1878C4—44no—
1879C4—41no—
1880C4—42no—
1881C4—42no—
1882C4—42no—
1883C4—41no—
1884C4—42no—
1885C4—41no—
1886C4—41no—
1887C4—42no—
1888C4—42no—
1889C4—42no—
1890C4—44no—
1891C4—42no—
1892C4—42no—
1893C4#351914yes—
1894C4#354614yes—
1895C2—42no—
1896C2—42no—
1897C2—44no—
1898C2—81no—
1899C2—82no—
1900C2—84no—
1901C2—82no—
1902C2C2×#354611yescharacteristic
1903C2C2×#351911yescharacteristic
1904C2#6287511yescharacteristic
1905C2#6291211yescharacteristic
1906C2#6296011yescharacteristic
1907C2#6298411yescharacteristic
1908C2#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. #59650C2semidirect
2. #59234C2semidirect
3. #59220C2semidirect
4. #59057C2semidirect
5. #59049C2semidirect
6. #59035C2semidirect
7. #50108C2semidirect
8. #48309C2semidirect
9. #47156C2semidirect
10. #46586C2semidirect
11. #45701C2semidirect
12. #45593C2semidirect
13. #45398C2semidirect
14. #45353C2semidirect
15. #42619C2semidirect
16. #42557C2semidirect
17. #40222C2semidirect
18. #39876C2semidirect
19. #39471C2semidirect
20. #39468C2semidirect
21. #39342C2semidirect
22. #39334C2semidirect
23. #39222C2semidirect
24. #39198C2semidirect
25. #37325C2semidirect
26. #36587C2semidirect
27. #36586C2semidirect
28. #36561C2semidirect
29. #36504C2semidirect
30. #36258C2semidirect
31. #36126C2semidirect
32. #35292C2semidirect
33. #34937C2semidirect
34. #34411C2semidirect
35. C4×#537C2semidirect
36. C2×#556C22semidirect
37. C2×#554C22semidirect
38. C2×#547C22semidirect
46. C2×#532C22semidirect
47. C2×#532C22semidirect
49. C2×C4×#41C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2857C22semidirect
56. #2854C22semidirect
58. #2850C22semidirect
59. #2850C22semidirect
60. #2837C22semidirect
61. #2825C22semidirect
62. #2803C22semidirect
63. #2803C22semidirect
64. #2797C22semidirect
65. #2797C22semidirect
66. #2788C22semidirect
67. #2782C22semidirect
68. #2778C22semidirect
69. #2775C22semidirect
70. #2759C22semidirect
71. #2757C22semidirect
72. #2756C22semidirect
73. #2756C22semidirect
74. #2756C22semidirect
75. #2738C22semidirect
76. #2735C22semidirect
77. #2730C22semidirect
78. #2730C22semidirect
79. #2715C22semidirect
80. #2714C22semidirect
81. #2711C22semidirect
82. #2710C22semidirect
83. #2710C22semidirect
84. #2710C22semidirect
85. #2708C22semidirect
86. #2703C22semidirect
87. #2703C22semidirect
88. #2703C22semidirect
89. #2697C22semidirect
90. #2696C22semidirect
91. #2693C22semidirect
92. #2691C22semidirect
93. #2687C22semidirect
94. #2674C22semidirect
95. #2673C22semidirect
97. #2670C22semidirect
99. #2669C22semidirect
101. #2668C22semidirect
102. #2653C22semidirect
103. #2651C22semidirect
104. #2635C22semidirect
105. #2624C22semidirect
106. #2622C22semidirect
107. #2616C22semidirect
109. #2615C22semidirect
110. #2598C22semidirect
111. #2597C22semidirect
112. #2596C22semidirect
113. #2592C22semidirect
114. #2580C22semidirect
115. #2578C22semidirect
116. #2571C22semidirect
117. #2564C22semidirect
118. #2558C22semidirect
119. #2556C22semidirect
120. #2555C22semidirect
121. #2551C22semidirect
124. #2548C22semidirect
126. #2547C22semidirect
127. #2547C22semidirect
128. #2546C22semidirect
129. #2545C22semidirect
131. #2544C22semidirect
132. #2543C22semidirect
133. #2543C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
145. #2536C22semidirect
147. #2535C22semidirect
148. #2535C22semidirect
149. #2525C22semidirect
150. #2514C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
154. #2510C22semidirect
155. #2506C22semidirect
156. #2504C22semidirect
157. #2495C22semidirect
158. #2495C22semidirect
159. #2495C22semidirect
160. #2494C22semidirect
161. #2492C22semidirect
162. #2492C22semidirect
163. #2492C22semidirect
166. #2491C22semidirect
167. #2490C22semidirect
168. #2487C22semidirect
169. #2487C22semidirect
170. #2487C22semidirect
171. #2485C22semidirect
172. #2479C22semidirect
173. #2474C22semidirect
174. #2472C22semidirect
175. #2472C22semidirect
176. #2467C22semidirect
177. #2467C22semidirect
178. #2461C22semidirect
179. #2454C22semidirect
181. #2452C22semidirect
182. #2451C22semidirect
184. #2448C22semidirect
185. #2447C22semidirect
186. #2445C22semidirect
187. #2444C22semidirect
188. #2437C22semidirect
191. #2431C22semidirect
192. #2431C22semidirect
193. #2430C22semidirect
194. #2428C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
201. #2424C22semidirect
202. #2423C22semidirect
205. #2418C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
211. #2416C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2415C22semidirect
217. #2414C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
231. #2404C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
234. #2380C22semidirect
235. #2375C22semidirect
236. #2369C22semidirect
238. #2366C22semidirect
239. #2365C22semidirect
241. #2363C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
245. #2361C22semidirect
246. #2360C22semidirect
247. #2358C22semidirect
248. #2357C22semidirect
249. #2355C22semidirect
251. #2354C22semidirect
252. #2352C22semidirect
254. D4×C4⋊C4C22semidirect
255. #2347C22semidirect
256. #2347C22semidirect
257. #2341C22semidirect
260. #2337C22semidirect
261. #2337C22semidirect
262. #2325C22semidirect
263. #2325C22semidirect
266. #2324C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2323C22semidirect
270. #2323C22semidirect
271. #2323C22semidirect
272. #2321C22semidirect
273. #2321C22semidirect
274. #2316C22semidirect
276. #2311C22semidirect
277. #2311C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. #2297C22semidirect
296. #2285C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C4⋊C4C22semidirect
971. #121#41semidirect

Maximal subgroups

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

subgroupindex
#596502
#592342
#592202
#590572
#590492
#590352
#501082
#483092
#471562
#465862
#457012
#455932
#453982
#453532
#426192
#425572
#402222
#398762
#394712
#394682
#393422
#393342
#392222
#391982
#373252
#365872
#365862
#365612
#365042
#362582
#361262
#352922
#349372
#344112
C4×#5372