Finite Group Databasebeta

← #7732295

Subgroups — #7732295

Order 512.

7948 conjugacy classes of subgroups.

The subgroup lattice has 1956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3537C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#49585C214yesmaximal, complemented
4#49582C214yesmaximal, complemented
5#47456C214yesmaximal, complemented
6#46372C214yesmaximal, complemented
7#43886C214yesmaximal, complemented
8#42998C214yesmaximal, complemented
9#39462C212yesmaximal, complemented
10#39423C212yesmaximal, complemented
11#39412C212yesmaximal, complemented
12#39383C212yesmaximal, complemented
13#39354C212yesmaximal, complemented
14#39342C212yesmaximal, complemented
15#38049C212yesmaximal, complemented
16#38026C212yesmaximal, complemented
17#37836C212yesmaximal, complemented
18#37650C212yesmaximal, complemented
19#37439C211yesmaximal, characteristic, complemented
20#37276C212yesmaximal, complemented
21#37273C212yesmaximal, complemented
22#36361C212yesmaximal, complemented
23#36258C212yesmaximal, complemented
24#35567C212yesmaximal, complemented
25#35533C212yesmaximal, complemented
26#35252C211yesmaximal, characteristic, complemented
27#35000C211yesmaximal, characteristic, complemented
28C2×#2414C211yesmaximal, characteristic, complemented
29#34202C211yesmaximal, characteristic, complemented
30#3537—216no—
31C2×#560C2214yescomplemented
32C2×#553C2212yes—
33C2×#553C2212yescomplemented
34C2×#546C2214yescomplemented
35C2×D42C2212yes—
36C2×D42C2214yes—
37C2×D42C2212yescomplemented
38#3460—216no—
39C2×#544C2211yescharacteristic, complemented
40C2×#542C2212yescomplemented
41C2×#542C2212yescomplemented
42C2×#540C2212yescomplemented
43C2×#540C2212yescomplemented
44C2×#540C2212yescomplemented
45C2×#538C2212yes—
46C2×#538C2212yescomplemented
47C2×#538C2211yescharacteristic, complemented
48C2×#538C2211yescharacteristic, complemented
49C2×#538C2212yescomplemented
50C2×#537C2211yescharacteristic, complemented
51C2×#535C2212yescomplemented
52C2×#535C2212yescomplemented
53C2×#535C2212yescomplemented
54C2×#535C2211yescharacteristic, complemented
55C2×#534C2212yes—
56C2×#534C2212yescomplemented
57C2×#534C2212yescomplemented
58C2×#532C2212yescomplemented
59C2×#532C2212yescomplemented
60C2×#529C2212yescomplemented
61C2×#529C2212yescomplemented
62C2×#525C2211yescharacteristic
63C2×#525C2212yescomplemented
64C2×#525C2211yescharacteristic, complemented
65C22×#121C2211yescharacteristic
66C22×#121C2211yescharacteristic
67C22×#121C2211yescharacteristic, complemented
68C2×#520C2211yescharacteristic, complemented
69C2×C4×#41C2212yescomplemented
70C22×C4×D4C2211yescharacteristic, complemented
71C22×#117C2211yescharacteristic, complemented
72#2856C2212yescomplemented
73#2856C2212yescomplemented
74#2854C2212yescomplemented
75#2854C2212yescomplemented
76#2854C2212yescomplemented
77#2851C2212yescomplemented
78#2850C2212yescomplemented
79#2847C2212yescomplemented
80#2813C2214yescomplemented
81#2733C2214yescomplemented
82#2731C2214yescomplemented
83#2716C2214yescomplemented
84#2714C2214yescomplemented
85#2714C2214yescomplemented
86#2711C2214yescomplemented
87#2707C2214yescomplemented
88#2706C2214yescomplemented
89#2705C2214yescomplemented
90#2705C2214yescomplemented
91#2702C2214yescomplemented
92#2701C2214yescomplemented
93#2693C2214yescomplemented
94#2691C2214yescomplemented
95#2688C2214yescomplemented
96#2685C2214yescomplemented
97#2684C2214yescomplemented
98#2682C2214yescomplemented
99#2682C2214yescomplemented
100#2681C2214yescomplemented
101#2680C2214yescomplemented
102#2678C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2676C2214yescomplemented
106#2676C2214yescomplemented
107#2675C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2673C2214yescomplemented
112#2671C2214yescomplemented
113#2671C2214yescomplemented
114#2670C2214yescomplemented
115#2670C2214yescomplemented
116#2670C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2669C2214yescomplemented
120#2669C2214yescomplemented
121#2656C2212yescomplemented
122#2639C2212yescomplemented
123#2629C2212yescomplemented
124#2626C2212yescomplemented
125#2624C2212yescomplemented
126#2620C2212yescomplemented
127#2619C2212yescomplemented
128#2619C2212yescomplemented
129#2618C2212yescomplemented
130#2617C2212yescomplemented
131#2617C2212yescomplemented
132#2615C2212yescomplemented
133#2615C2212yescomplemented
134#2615C2212yescomplemented
135#2584C2212yescomplemented
136#2580C2212yescomplemented
137#2562C2212yescomplemented
138#2559C2214yescomplemented
139#2558C2214yescomplemented
140#2557C2214yescomplemented
141#2555C2214yescomplemented
142#2554C2214yescomplemented
143#2548C2214yescomplemented
144#2548C2212yescomplemented
145#2545C2214yescomplemented
146#2544C2214yescomplemented
147#2543C2214yescomplemented
148#2543C2214yescomplemented
149#2541C2212yescomplemented
150#2541C2214yescomplemented
151#2541C2214yescomplemented
152#2539C2214yescomplemented
153#2538C2212yescomplemented
154#2537C2212yescomplemented
155#2535C2212yescomplemented
156#2534C2214yescomplemented
157#2519C2214yescomplemented
158#2512C2214yescomplemented
159#2491C2214yescomplemented
160#2487C2212yescomplemented
161#2486C2212yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2479C2214yescomplemented
165#2472C2214yescomplemented
166#2472C2214yescomplemented
167#2470C2214yescomplemented
168#2469C2214yescomplemented
169#2468C2214yescomplemented
170#2464C2214yescomplemented
171#2464C2214yescomplemented
172#2461C2214yescomplemented
173#2461C2214yescomplemented
174#2459C2214yescomplemented
175#2456C2214yescomplemented
176#2455C2214yescomplemented
177#2450C2214yescomplemented
178#2445C2214yescomplemented
179#2443C2214yescomplemented
180#2433C2214yescomplemented
181#2433C2214yescomplemented
182#2430C2214yescomplemented
183#2428C2214yescomplemented
184#2426C2214yescomplemented
185#2424C2214yescomplemented
186#2424C2214yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2416C2212yescomplemented
194#2416C2212yescomplemented
195#2416C2212yescomplemented
196#2416C2212yescomplemented
197#2416C2212yescomplemented
198#2416C2212yescomplemented
199#2416C2212yescomplemented
200#2416C2212yescomplemented
201#2414C2212yescomplemented
202#2414C2212yescomplemented
203#2414C2214yescomplemented
204#2414C2212yescomplemented
205#2414C2214yescomplemented
206#2414C2212yescomplemented
207#2414C2212yescomplemented
208#2414C2214yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2411C2214yescomplemented
213#2411C2214yescomplemented
214#2411C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2408C2212yescomplemented
220#2408C2212yescomplemented
221#2408C2214yescomplemented
222#2408C2212yescomplemented
223#2408C2212yescomplemented
224#2405C2214yescomplemented
225#2403C2214yescomplemented
226C2×#394C2212yescomplemented
227C2×#392C2212yescomplemented
228#2361C2214yescomplemented
229#2359C2214yescomplemented
230#2359C2214yescomplemented
231#2358C2214yescomplemented
232#2354C2212yescomplemented
233#2352C2212yescomplemented
234#2352C2212yescomplemented
235D4×C4⋊C4C2212yescomplemented
236D4×C22⋊C4C2214yescomplemented
237#2324C2212yescomplemented
238#2324C2212yescomplemented
239#2324C2212yescomplemented
240#2323C2212yescomplemented
241#2317C2211yescharacteristic, complemented
242#2317C2211yescharacteristic, complemented
243#2311C2211yescharacteristic, complemented
244#2311C2212yescomplemented
245#2311C2211yescharacteristic, complemented
246#2309C2211yescharacteristic, complemented
247#2308C2212yescomplemented
248C4×C22⋊Q8C2212yescomplemented
249C4×#121C2212yescomplemented
250C4×#121C2212yescomplemented
251C4×#121C2212yescomplemented
252#2296C2212yescomplemented
253C2×#390C2212yescomplemented
254C2×#390C2211yescharacteristic, complemented
255C2×#390C2212yescomplemented
256C2×#389C2211yescharacteristic, complemented
257C2×#388C2212yescomplemented
258C2×#380C2211yescharacteristic, complemented
259C2×#380C2211yescharacteristic, complemented
260#2274C2211yescharacteristic, complemented
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2311yescharacteristic
264C22×#41C2311yescharacteristic
265C23×D4C2311yescharacteristic
266C23×D4C2312yes—
267C23×D4C2311yescharacteristic
268C23×D4C2314yes—
269C23×D4C2311yescharacteristic
270C23×D4C2312yes—
271C23×D4C2312yes—
272C23×D4C2314yes—
273C23×D4C2312yes—
274C24×C4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276#560—232no—
277#553—216no—
278#553—216no—
279#546—416no—
280D42—232no—
281D42—216no—
282D42—216no—
283#544—28no—
284#542—216no—
285#542—216no—
286#540—216no—
287#540—216no—
288#540—216no—
289#538—216no—
290#538—28no—
291#538—216no—
292#538—28no—
293#538—216no—
294#537—28no—
295#535—216no—
296#535—216no—
297#535—44no—
298#535—48no—
299#534—216no—
300#534—216no—
301#534—48no—
302#532—216no—
303#532—216no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×#127C2312yes—
307C2×#127C2312yes—
308C2×#127C2312yes—
309C2×#127C2314yes—
310C2×#127C2312yes—
311C2×#127C2314yes—
312C2×#127C2314yes—
313#529—216no—
314#529—216no—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334#525—28no—
335#525—216no—
336#525D4116yescomplemented
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×#121—28no—
363C2×#121—28no—
364C2×#121—44no—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#120C2312yes—
418C2×#120C2312yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2312yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2312yes—
435#520—44no—
436C4×#41—216no—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×D4—28no—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2314yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×#117—44no—
465C2×#117C2311yescharacteristic
466C2×#117C2312yes—
467C2×#117C2311yescharacteristic
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2311yescharacteristic
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2311yescharacteristic
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2311yescharacteristic
487C22×C4⋊C4C2312yes—
488C22×C22⋊C4C2311yescharacteristic
489C22×C22⋊C4C2311yescharacteristic
490C22×C22⋊C4C2312yes—
491C22×C22⋊C4C2312yes—
492C22×C22⋊C4C2312yes—
493C22×C22⋊C4C2312yes—
494C22×C22⋊C4C2312yes—
495C22×C22⋊C4C2312yes—
496C22×C22⋊C4C2314yes—
497C22×C22⋊C4C2312yes—
498C22×C22⋊C4C2314yes—
499C22×C22⋊C4C2312yes—
500C22×C42C2312yes—
501C22×C42C2311yescharacteristic
502C22×C42C2312yes—
503C22×C42C2312yes—
504#400C2314yes—
505#400C2314yes—
506#399C2314yes—
507#399C2314yes—
508#399C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#395C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#391C2312yes—
593#391C2312yes—
594#391C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2314yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2312yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2312yes—
621#390C2314yes—
622#390C2314yes—
623#390C2314yes—
624#390C2314yes—
625#390C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#384C2312yes—
713#384C2312yes—
714#382C2312yes—
715#382C2312yes—
716#381C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737#379C2314yes—
738#379C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C2×#95C2312yes—
752C2×#95C2312yes—
753C2×#95C2312yes—
754C25C2412yes—
755C25C2411yescharacteristic
756C25C2411yescharacteristic
757C25C2414yes—
758C25C2412yes—
759C2×#41—28no—
760C2×#41—24no—
761C2×#41—28no—
762C2×#41—28no—
763C2×#41—42no—
764C2×#41—42no—
765C2×#41—44no—
766C2×#41—42no—
767C2×#41—42no—
768C2×#41—44no—
769C2×#41—44no—
770C2×#41C2×D418yescomplemented
771C22×Q8C2412yes—
772C22×Q8C2411yescharacteristic
773C22×Q8C2412yes—
774C22×Q8C2411yescharacteristic
775C22×D4—24no—
776C22×D4—28no—
777C22×D4—28no—
778C22×D4—216no—
779C22×D4—216no—
780C22×D4—24no—
781C22×D4—24no—
782C22×D4—28no—
783C22×D4—24no—
784C22×D4—42no—
785C22×D4—44no—
786C22×D4—44no—
787C22×D4—42no—
788C22×D4—42no—
789C22×D4—42no—
790C22×D4—44no—
791C22×D4—42no—
792C22×D4—44no—
793C22×D4—44no—
794C22×D4—48no—
795C22×D4—48no—
796C22×D4—44no—
797C22×D4—82no—
798C22×D4—82no—
799C22×D4—82no—
800C22×D4—84no—
801C22×D4—84no—
802C22×D4C2412yes—
803C22×D4C2414yes—
804C22×D4C2412yes—
805C22×D4C2412yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2412yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2414yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2414yes—
821C22×D4C2414yes—
822C22×D4C2414yes—
823C22×D4C2414yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2411yescharacteristic
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C23×C4—24no—
840C23×C4—42no—
841C23×C4—42no—
842C23×C4—42no—
843C23×C4—42no—
844C23×C4C2×D418yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C4⋊Q8—28no—
872C4⋊Q8—28no—
873#127—28no—
874#127—28no—
875#127—216no—
876#127—28no—
877#127—44no—
878#127—48no—
879#127—84no—
880#126—28no—
881#126—28no—
882#126—216no—
883#126—216no—
884#126—28no—
885#126—28no—
886#125—28no—
887#125—28no—
888#125—28no—
889#124—28no—
890#124—216no—
891#124—28no—
892#124—28no—
893#124—28no—
894#124—28no—
895#124—28no—
896#124—44no—
897#124—48no—
898#124—48no—
899#123—28no—
900#123—28no—
901#123—216no—
902#123—28no—
903#123—28no—
904#123—216no—
905#123—216no—
906#123—28no—
907#123—28no—
908#123—28no—
909#123—216no—
910#123—216no—
911#123—48no—
912#123—48no—
913#123—84no—
914#123C2×D4116yescomplemented
915C22⋊Q8—24no—
916C22⋊Q8—24no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—48no—
922C22⋊Q8C2×D418yes—
923C22⋊Q8C2×D418yescomplemented
924#121—28no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—28no—
930#121—28no—
931#121—216no—
932#121—216no—
933#121—28no—
934#121—28no—
935#121—28no—
936#121—28no—
937#121—28no—
938#121—28no—
939#121—28no—
940#121—28no—
941#121—24no—
942#121—24no—
943#121—28no—
944#121—28no—
945#121—28no—
946#121—216no—
947#121—216no—
948#121—28no—
949#121—28no—
950#121—28no—
951#121—28no—
952#121—28no—
953#121—28no—
954#121—216no—
955#121—216no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—48no—
968#121—48no—
969#121—84no—
970#121—84no—
971#121—84no—
972#121—84no—
973#121—84no—
974#121C2×D418yes—
975#121C2×D418yescomplemented
976#120—28no—
977#120—28no—
978#120—216no—
979#120—216no—
980#120—28no—
981#120—216no—
982#120—216no—
983#120—216no—
984#120—216no—
985#120—48no—
986#120—48no—
987#120—48no—
988#120—48no—
989#120—48no—
990#120—48no—
991#120—48no—
992#120—84no—
993#120C2×D4116yes—
994C4×Q8—28no—
995C4×Q8—28no—
996C4×Q8—44no—
997C4×D4—28no—
998C4×D4—28no—
999C4×D4—28no—
1000C4×D4—28no—
1001C4×D4—28no—
1002C4×D4—28no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—28no—
1008C4×D4—216no—
1009C4×D4—216no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—44no—
1014C4×D4—48no—
1015C4×D4—48no—
1016C4×D4—48no—
1017C4×D4—84no—
1018C4×D4C2×D4116yes—
1019C4×D4C2×D4116yescomplemented
1020#117—24no—
1021#117—28no—
1022#117—28no—
1023#117—24no—
1024#117—24no—
1025#117—28no—
1026#117—28no—
1027#117—28no—
1028#117—28no—
1029#117—44no—
1030#117—44no—
1031#117—42no—
1032#117—42no—
1033#117C2×D418yescomplemented
1034C2×C4⋊C4—24no—
1035C2×C4⋊C4—24no—
1036C2×C4⋊C4—24no—
1037C2×C4⋊C4—24no—
1038C2×C4⋊C4—42no—
1039C2×C4⋊C4—42no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—42no—
1042C2×C4⋊C4—82no—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C22⋊C4—24no—
1089C2×C22⋊C4—24no—
1090C2×C22⋊C4—28no—
1091C2×C22⋊C4—28no—
1092C2×C22⋊C4—28no—
1093C2×C22⋊C4—44no—
1094C2×C22⋊C4—44no—
1095C2×C22⋊C4—48no—
1096C2×C22⋊C4—44no—
1097C2×C22⋊C4—82no—
1098C2×C22⋊C4—84no—
1099C2×C22⋊C4—82no—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C42—24no—
1173C2×C42—28no—
1174C2×C42—28no—
1175C2×C42—44no—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2414yes—
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—24no—
1221C24—24no—
1222C24—24no—
1223C24—22no—
1224C24—24no—
1225C24—28no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—41no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24—42no—
1235C24—42no—
1236C24—42no—
1237C24—42no—
1238C24—42no—
1239C24—44no—
1240C24—42no—
1241C24—44no—
1242C24—44no—
1243C24—44no—
1244C24—44no—
1245C24—42no—
1246C24—44no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24C22×D414yes—
1251C24C2514yes—
1252C24C2514yes—
1253C24C2512yes—
1254C24C2512yes—
1255C24C2511yescharacteristic
1256C24C2512yes—
1257C24C2511yescharacteristic
1258C24C2511yescharacteristic
1259#41—416no—
1260#41—432no—
1261#41—88no—
1262#41—816no—
1263C2×Q8—24no—
1264C2×Q8—22no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—41no—
1268C2×Q8—41no—
1269C2×Q8—42no—
1270C2×Q8—41no—
1271C2×Q8—42no—
1272C2×Q8—41no—
1273C2×Q8—42no—
1274C2×Q8C22×D414yes—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—28no—
1282C2×D4—28no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—24no—
1286C2×D4—28no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—28no—
1290C2×D4—28no—
1291C2×D4—28no—
1292C2×D4—28no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—28no—
1302C2×D4—28no—
1303C2×D4—28no—
1304C2×D4—24no—
1305C2×D4—22no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—28no—
1312C2×D4—28no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—41no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—41no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—416no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—42no—
1352C2×D4—44no—
1353C2×D4—41no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—41no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—88no—
1384C2×D4—88no—
1385C2×D4—816no—
1386C2×D4—816no—
1387C2×D4—832no—
1388C2×D4—816no—
1389C2×D4—832no—
1390C2×D4—816no—
1391C2×D4C22×D418yes—
1392C2×D4C22×D418yes—
1393C2×D4C22×D414yes—
1394C2×D4C22×D418yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—24no—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—24no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—24no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—28no—
1426C22×C4—24no—
1427C22×C4—416no—
1428C22×C4—41no—
1429C22×C4—42no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—42no—
1443C22×C4—41no—
1444C22×C4—42no—
1445C22×C4—44no—
1446C22×C4—42no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—44no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—41no—
1455C22×C4—44no—
1456C22×C4—42no—
1457C22×C4—44no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—88no—
1467C22×C4C22×D414yes—
1468C22×C4C22×D418yes—
1469C22×C4C22×D414yes—
1470C22×C4C22×D414yes—
1471C22×C4C22×D414yes—
1472C22×C4C22×D414yes—
1473C22×C4C22×D414yes—
1474C22×C4H(5,𝔽2)14yes—
1475C22×C4C2512yes—
1476C22×C4C2514yes—
1477C22×C4C2512yes—
1478C22×C4C2514yes—
1479C22×C4C2514yes—
1480C22×C4C2514yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—28no—
1522C4⋊C4—28no—
1523C4⋊C4—24no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4C22×D418yes—
1537C4⋊C4C22×D414yes—
1538C4⋊C4C22×D414yes—
1539C4⋊C4C22×D418yes—
1540C4⋊C4H(5,𝔽2)14yes—
1541C22⋊C4—24no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—28no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—28no—
1573C22⋊C4—28no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—28no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
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—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4C22×D418yes—
1609C22⋊C4C22×D418yes—
1610C22⋊C4C22×D418yes—
1611C22⋊C4C22×D418yes—
1612C22⋊C4C22×D418yes—
1613C42—24no—
1614C42—24no—
1615C42—24no—
1616C42—24no—
1617C42—24no—
1618C42—24no—
1619C42—24no—
1620C42—28no—
1621C42—24no—
1622C42—24no—
1623C42—28no—
1624C42—42no—
1625C42—42no—
1626C42—44no—
1627C42—44no—
1628C42C22×D418yes—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—21no—
1645C23—22no—
1646C23—22no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—28no—
1652C23—22no—
1653C23—22no—
1654C23—24no—
1655C23—24no—
1656C23—24no—
1657C23—24no—
1658C23—24no—
1659C23—24no—
1660C23—22no—
1661C23—22no—
1662C23—22no—
1663C23—22no—
1664C23—22no—
1665C23—24no—
1666C23—24no—
1667C23—24no—
1668C23—22no—
1669C23—22no—
1670C23—24no—
1671C23—22no—
1672C23—22no—
1673C23—24no—
1674C23—22no—
1675C23—22no—
1676C23—24no—
1677C23—24no—
1678C23—24no—
1679C23—22no—
1680C23—44no—
1681C23—44no—
1682C23—44no—
1683C23—44no—
1684C23—48no—
1685C23—44no—
1686C23—48no—
1687C23—82no—
1688C23—82no—
1689C23—82no—
1690C23—82no—
1691C23—82no—
1692C23—82no—
1693C23—82no—
1694C23—82no—
1695C23—84no—
1696C23—84no—
1697C23—84no—
1698C23—84no—
1699C23—88no—
1700C23—88no—
1701C23—84no—
1702C23—88no—
1703C23—84no—
1704C23—84no—
1705C23—84no—
1706C23—88no—
1707C23—88no—
1708C23—164no—
1709C23—162no—
1710C23—162no—
1711C23—164no—
1712C23—162no—
1713C23—162no—
1714C23C23×D412yes—
1715C23C23×D414yes—
1716C23C23×D412yes—
1717C23C23×D412yes—
1718C23C2×H(5,𝔽2)12yes—
1719C23#58512yes—
1720C23C2611yescharacteristic
1721Q8—44no—
1722Q8—48no—
1723Q8—82no—
1724Q8—84no—
1725D4—216no—
1726D4—48no—
1727D4—44no—
1728D4—48no—
1729D4—48no—
1730D4—48no—
1731D4—48no—
1732D4—416no—
1733D4—416no—
1734D4—48no—
1735D4—48no—
1736D4—48no—
1737D4—84no—
1738D4—88no—
1739D4—84no—
1740D4—84no—
1741D4—88no—
1742D4—88no—
1743D4—88no—
1744D4—88no—
1745D4—82no—
1746D4—84no—
1747D4—84no—
1748D4—84no—
1749D4—88no—
1750D4—88no—
1751D4—88no—
1752D4—88no—
1753D4—84no—
1754D4—84no—
1755D4—84no—
1756D4—88no—
1757D4—88no—
1758D4—164no—
1759D4—164no—
1760D4—164no—
1761D4—164no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—28no—
1779C2×C4—28no—
1780C2×C4—28no—
1781C2×C4—28no—
1782C2×C4—216no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—24no—
1788C2×C4—24no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—24no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—24no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—44no—
1820C2×C4—44no—
1821C2×C4—44no—
1822C2×C4—48no—
1823C2×C4—48no—
1824C2×C4—48no—
1825C2×C4—48no—
1826C2×C4—48no—
1827C2×C4—84no—
1828C2×C4—84no—
1829C2×C4—88no—
1830C2×C4—88no—
1831C2×C4—82no—
1832C2×C4—84no—
1833C2×C4—84no—
1834C2×C4—82no—
1835C2×C4—84no—
1836C2×C4—84no—
1837C2×C4—164no—
1838C2×C4—162no—
1839C2×C4—162no—
1840C2×C4C23×D414yes—
1841C2×C4C23×D412yes—
1842C2×C4C23×D414yes—
1843C2×C4C23×D414yes—
1844C2×C4C23×D412yes—
1845C2×C4C23×D412yes—
1846C2×C4C23×D412yes—
1847C2×C4C2×H(5,𝔽2)14yes—
1848C2×C4C2×H(5,𝔽2)14yes—
1849C2×C4C2×H(5,𝔽2)12yes—
1850C2×C4#58512yes—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—24no—
1860C22—24no—
1861C22—22no—
1862C22—22no—
1863C22—24no—
1864C22—22no—
1865C22—22no—
1866C22—41no—
1867C22—42no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—42no—
1872C22—41no—
1873C22—42no—
1874C22—41no—
1875C22—41no—
1876C22—42no—
1877C22—41no—
1878C22—42no—
1879C22—42no—
1880C22—44no—
1881C22—44no—
1882C22—42no—
1883C22—44no—
1884C22—42no—
1885C22—44no—
1886C22—42no—
1887C22—44no—
1888C22—44no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—44no—
1893C22—44no—
1894C22—42no—
1895C22—42no—
1896C22—44no—
1897C22—44no—
1898C22—42no—
1899C22—44no—
1900C22—42no—
1901C22—44no—
1902C22—42no—
1903C22—42no—
1904C22—44no—
1905C22—44no—
1906C22—88no—
1907C22—88no—
1908C22—168no—
1909C22—168no—
1910C22—1616no—
1911C22#348814yes—
1912C22C24×D411yescharacteristic
1913C22C22×H(5,𝔽2)11yescharacteristic
1914C22C22×H(5,𝔽2)11yescharacteristic
1915C22C2×#58511yescharacteristic
1916C22C2×#58511yescharacteristic
1917C22H(7,𝔽2)11yescharacteristic
1918C22H(7,𝔽2)11yescharacteristic
1919C4—22no—
1920C4—22no—
1921C4—22no—
1922C4—24no—
1923C4—24no—
1924C4—24no—
1925C4—24no—
1926C4—24no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4—44no—
1931C4—42no—
1932C4—44no—
1933C4—42no—
1934C4—42no—
1935C4—42no—
1936C4—44no—
1937C4—42no—
1938C4—44no—
1939C4#349614yes—
1940C2—24no—
1941C2—42no—
1942C2—42no—
1943C2—44no—
1944C2—82no—
1945C2—82no—
1946C2—84no—
1947C2—84no—
1948C2C2×#349611yescharacteristic
1949C2C2×#348811yescharacteristic
1950C2#6285211yescharacteristic
1951C2#6291611yescharacteristic
1952C2#6291811yescharacteristic
1953C2#6293011yescharacteristic
1954C2#6293511yescharacteristic
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. C2×#3537C2semidirect
2. C2×#3460C2semidirect
3. #49585C2semidirect
4. #49582C2semidirect
5. #47456C2semidirect
6. #46372C2semidirect
7. #43886C2semidirect
8. #42998C2semidirect
9. #39462C2semidirect
10. #39423C2semidirect
11. #39412C2semidirect
12. #39383C2semidirect
13. #39354C2semidirect
14. #39342C2semidirect
15. #38049C2semidirect
16. #38026C2semidirect
17. #37836C2semidirect
18. #37650C2semidirect
19. #37439C2semidirect
20. #37276C2semidirect
21. #37273C2semidirect
22. #36361C2semidirect
23. #36258C2semidirect
24. #35567C2semidirect
25. #35533C2semidirect
26. #35252C2semidirect
27. #35000C2semidirect
28. C2×#2414C2semidirect
29. #34202C2semidirect
31. C2×#560C22semidirect
33. C2×#553C22semidirect
34. C2×#546C22semidirect
37. C2×D42C22semidirect
39. C2×#544C22semidirect
40. C2×#542C22semidirect
41. C2×#542C22semidirect
42. C2×#540C22semidirect
43. C2×#540C22semidirect
44. C2×#540C22semidirect
46. C2×#538C22semidirect
47. C2×#538C22semidirect
48. C2×#538C22semidirect
49. C2×#538C22semidirect
50. C2×#537C22semidirect
51. C2×#535C22semidirect
52. C2×#535C22semidirect
53. C2×#535C22semidirect
54. C2×#535C22semidirect
56. C2×#534C22semidirect
57. C2×#534C22semidirect
58. C2×#532C22semidirect
59. C2×#532C22semidirect
60. C2×#529C22semidirect
61. C2×#529C22semidirect
63. C2×#525C22semidirect
64. C2×#525C22semidirect
67. C22×#121C22semidirect
68. C2×#520C22semidirect
69. C2×C4×#41C22semidirect
70. C22×C4×D4C22semidirect
71. C22×#117C22semidirect
72. #2856C22semidirect
73. #2856C22semidirect
74. #2854C22semidirect
75. #2854C22semidirect
76. #2854C22semidirect
77. #2851C22semidirect
78. #2850C22semidirect
79. #2847C22semidirect
80. #2813C22semidirect
81. #2733C22semidirect
82. #2731C22semidirect
83. #2716C22semidirect
84. #2714C22semidirect
85. #2714C22semidirect
86. #2711C22semidirect
87. #2707C22semidirect
88. #2706C22semidirect
89. #2705C22semidirect
90. #2705C22semidirect
91. #2702C22semidirect
92. #2701C22semidirect
93. #2693C22semidirect
94. #2691C22semidirect
95. #2688C22semidirect
96. #2685C22semidirect
97. #2684C22semidirect
98. #2682C22semidirect
99. #2682C22semidirect
100. #2681C22semidirect
101. #2680C22semidirect
102. #2678C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2676C22semidirect
106. #2676C22semidirect
107. #2675C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2673C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2670C22semidirect
115. #2670C22semidirect
116. #2670C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2656C22semidirect
122. #2639C22semidirect
123. #2629C22semidirect
124. #2626C22semidirect
125. #2624C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2619C22semidirect
129. #2618C22semidirect
130. #2617C22semidirect
131. #2617C22semidirect
132. #2615C22semidirect
133. #2615C22semidirect
134. #2615C22semidirect
135. #2584C22semidirect
136. #2580C22semidirect
137. #2562C22semidirect
138. #2559C22semidirect
139. #2558C22semidirect
140. #2557C22semidirect
141. #2555C22semidirect
142. #2554C22semidirect
143. #2548C22semidirect
144. #2548C22semidirect
145. #2545C22semidirect
146. #2544C22semidirect
147. #2543C22semidirect
148. #2543C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2539C22semidirect
153. #2538C22semidirect
154. #2537C22semidirect
155. #2535C22semidirect
156. #2534C22semidirect
157. #2519C22semidirect
158. #2512C22semidirect
159. #2491C22semidirect
160. #2487C22semidirect
161. #2486C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2479C22semidirect
165. #2472C22semidirect
166. #2472C22semidirect
167. #2470C22semidirect
168. #2469C22semidirect
169. #2468C22semidirect
170. #2464C22semidirect
171. #2464C22semidirect
172. #2461C22semidirect
173. #2461C22semidirect
174. #2459C22semidirect
175. #2456C22semidirect
176. #2455C22semidirect
177. #2450C22semidirect
178. #2445C22semidirect
179. #2443C22semidirect
180. #2433C22semidirect
181. #2433C22semidirect
182. #2430C22semidirect
183. #2428C22semidirect
184. #2426C22semidirect
185. #2424C22semidirect
186. #2424C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2416C22semidirect
194. #2416C22semidirect
195. #2416C22semidirect
196. #2416C22semidirect
197. #2416C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2414C22semidirect
202. #2414C22semidirect
203. #2414C22semidirect
204. #2414C22semidirect
205. #2414C22semidirect
206. #2414C22semidirect
207. #2414C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2411C22semidirect
213. #2411C22semidirect
214. #2411C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2405C22semidirect
225. #2403C22semidirect
226. C2×#394C22semidirect
227. C2×#392C22semidirect
228. #2361C22semidirect
229. #2359C22semidirect
230. #2359C22semidirect
231. #2358C22semidirect
232. #2354C22semidirect
233. #2352C22semidirect
234. #2352C22semidirect
235. D4×C4⋊C4C22semidirect
236. D4×C22⋊C4C22semidirect
237. #2324C22semidirect
238. #2324C22semidirect
239. #2324C22semidirect
240. #2323C22semidirect
241. #2317C22semidirect
242. #2317C22semidirect
243. #2311C22semidirect
244. #2311C22semidirect
245. #2311C22semidirect
246. #2309C22semidirect
247. #2308C22semidirect
248. C4×C22⋊Q8C22semidirect
249. C4×#121C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. #2296C22semidirect
253. C2×#390C22semidirect
254. C2×#390C22semidirect
255. C2×#390C22semidirect
256. C2×#389C22semidirect
257. C2×#388C22semidirect
258. C2×#380C22semidirect
259. C2×#380C22semidirect
260. #2274C22semidirect
336. #525D4semidirect
770. C2×#41C2×D4semidirect
914. #123C2×D4semidirect
923. C22⋊Q8C2×D4semidirect
975. #121C2×D4semidirect
1019. C4×D4C2×D4semidirect
1033. #117C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35372
C2×#34602
#495852
#495822
#474562
#463722
#438862
#429982
#394622
#394232
#394122
#393832
#393542
#393422
#380492
#380262
#378362
#376502
#374392
#372762
#372732
#363612
#362582
#355672
#355332
#352522
#350002
C2×#24142
#342022