Finite Group Databasebeta

← #7719291

Subgroups — #7719291

Order 512.

7128 conjugacy classes of subgroups.

The subgroup lattice has 1777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3564C211yesmaximal, characteristic, complemented
2C22×#551C211yesmaximal, characteristic, complemented
3#51412C214yesmaximal, complemented
4#51064C214yesmaximal, complemented
5#50888C214yesmaximal, complemented
6#50859C214yesmaximal, complemented
7#44776C214yesmaximal, complemented
8#44772C214yesmaximal, complemented
9#44699C214yesmaximal, complemented
10#44581C214yesmaximal, complemented
11#39594C212yesmaximal, complemented
12#39116C212yesmaximal, complemented
13#38046C212yesmaximal, complemented
14#38044C212yesmaximal, complemented
15#37843C212yesmaximal, complemented
16#37833C212yesmaximal, complemented
17#36720C211yesmaximal, characteristic, complemented
18#36719C211yesmaximal, characteristic, complemented
19#36709C211yesmaximal, characteristic, complemented
20#36708C211yesmaximal, characteristic, complemented
21#36427C212yesmaximal, complemented
22#36158C212yesmaximal, complemented
23#35240C211yesmaximal, characteristic, complemented
24#35236C211yesmaximal, characteristic, complemented
25#35174C211yesmaximal, characteristic, complemented
26#35118C211yesmaximal, characteristic, complemented
27#34988C211yesmaximal, characteristic, complemented
28#34987C211yesmaximal, characteristic, complemented
29#34982C211yesmaximal, characteristic, complemented
30#34634C211yesmaximal, characteristic, complemented
31#34381C211yesmaximal, characteristic, complemented
32#3564—216no—
33C2×#563C2212yescomplemented
34C2×#563C2212yescomplemented
35C2×#556C2212yescomplemented
36C2×#554C2212yescomplemented
37C2×#552C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×#551—216no—
40C2×#551C2212yes—
41C2×#551C2212yes—
42C2×#551C2214yes—
43C2×#551C2214yes—
44C2×#551C2214yes—
45C2×#551C2214yes—
46C2×#544C2211yescharacteristic, complemented
47C2×#543C2211yescharacteristic
48C2×#542C2212yescomplemented
49C2×#541C2212yescomplemented
50C2×#541C2212yescomplemented
51C2×#539C2211yescharacteristic, complemented
52C2×#539C2212yescomplemented
53C2×#538C2211yescharacteristic
54C2×#533C2211yescharacteristic, complemented
55C2×#529C2211yescharacteristic, complemented
56C22×#126C2211yescharacteristic
57C22×#126C2211yescharacteristic
58C22×#124C2211yescharacteristic
59C22×#123C2211yescharacteristic
60C22×#123C2211yescharacteristic
61C22×#123C2211yescharacteristic
62C22×C22⋊Q8C2211yescharacteristic
63C22×C22⋊Q8C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×#117C2211yescharacteristic
68C22×#117C2211yescharacteristic
69C23×C22⋊C4C2211yescharacteristic
70C23×C22⋊C4C2211yescharacteristic
71#2853C2212yescomplemented
72#2853C2212yescomplemented
73#2849C2212yes—
74#2848C2212yes—
75#2848C2212yes—
76#2848C2211yescharacteristic
77#2848C2211yescharacteristic
78#2848C2211yescharacteristic
79#2848C2211yescharacteristic, complemented
80#2848C2211yescharacteristic, complemented
81#2848C2211yescharacteristic, complemented
82#2847C2211yescharacteristic
83#2847C2211yescharacteristic, complemented
84#2846C2212yes—
85#2722C2214yescomplemented
86#2720C2214yescomplemented
87#2720C2214yescomplemented
88#2718C2214yescomplemented
89#2715C2214yescomplemented
90#2710C2214yescomplemented
91#2707C2214yescomplemented
92#2707C2214yescomplemented
93#2705C2214yescomplemented
94#2704C2214yescomplemented
95#2702C2214yescomplemented
96#2696C2214yescomplemented
97#2696C2214yescomplemented
98#2695C2214yescomplemented
99#2695C2214yescomplemented
100#2694C2214yescomplemented
101#2693C2214yescomplemented
102#2692C2214yescomplemented
103#2692C2214yescomplemented
104#2690C2214yescomplemented
105#2690C2214yescomplemented
106#2689C2214yescomplemented
107#2687C2214yescomplemented
108#2687C2214yescomplemented
109#2685C2214yes—
110#2685C2214yes—
111#2683C2214yescomplemented
112#2681C2214yescomplemented
113#2681C2214yescomplemented
114#2680C2214yescomplemented
115#2680C2214yescomplemented
116#2678C2214yes—
117#2677C2214yescomplemented
118#2677C2214yescomplemented
119#2674C2214yescomplemented
120#2674C2214yescomplemented
121#2672C2214yescomplemented
122#2672C2214yescomplemented
123#2671C2214yescomplemented
124#2670C2214yes—
125#2636C2214yescomplemented
126#2633C2214yescomplemented
127#2629C2214yescomplemented
128#2628C2212yescomplemented
129#2628C2212yescomplemented
130#2627C2211yescharacteristic, complemented
131#2627C2211yescharacteristic, complemented
132#2627C2211yescharacteristic, complemented
133#2627C2212yescomplemented
134#2626C2211yescharacteristic
135#2626C2211yescharacteristic
136#2626C2211yescharacteristic
137#2626C2212yes—
138#2626C2212yes—
139#2626C2212yescomplemented
140#2622C2212yes—
141#2618C2211yescharacteristic, complemented
142#2617C2211yescharacteristic
143#2613C2212yes—
144#2611C2212yescomplemented
145#2610C2212yescomplemented
146#2609C2214yescomplemented
147#2601C2214yescomplemented
148#2599C2212yescomplemented
149#2598C2212yescomplemented
150#2562C2212yescomplemented
151#2561C2212yes—
152#2561C2212yescomplemented
153#2558C2214yescomplemented
154#2558C2214yescomplemented
155#2554C2214yescomplemented
156#2547C2212yescomplemented
157#2542C2212yescomplemented
158#2542C2214yescomplemented
159#2540C2212yescomplemented
160#2539C2214yes—
161#2538C2212yescomplemented
162#2537C2212yescomplemented
163#2536C2212yescomplemented
164#2536C2212yescomplemented
165#2534C2212yes—
166#2534C2212yescomplemented
167#2521C2214yescomplemented
168#2521C2214yescomplemented
169#2502C2212yescomplemented
170#2502C2212yescomplemented
171#2496C2214yescomplemented
172#2492C2214yescomplemented
173#2491C2214yescomplemented
174#2487C2212yescomplemented
175#2487C2212yescomplemented
176#2484C2212yescomplemented
177#2483C2212yes—
178#2482C2212yes—
179#2482C2212yes—
180#2482C2212yescomplemented
181#2480C2214yescomplemented
182#2480C2214yescomplemented
183#2480C2214yescomplemented
184#2479C2214yescomplemented
185#2479C2214yescomplemented
186#2478C2214yescomplemented
187#2475C2214yescomplemented
188#2475C2214yescomplemented
189#2474C2214yescomplemented
190#2472C2214yes—
191#2472C2214yescomplemented
192#2472C2214yescomplemented
193#2471C2214yescomplemented
194#2468C2214yescomplemented
195#2467C2214yescomplemented
196#2463C2214yescomplemented
197#2461C2214yescomplemented
198#2461C2214yescomplemented
199#2460C2214yescomplemented
200#2458C2214yescomplemented
201#2458C2214yescomplemented
202#2456C2214yescomplemented
203#2454C2214yescomplemented
204#2454C2214yescomplemented
205#2452C2214yescomplemented
206#2452C2214yescomplemented
207#2443C2214yescomplemented
208#2441C2214yescomplemented
209#2437C2214yescomplemented
210#2437C2214yescomplemented
211#2437C2214yescomplemented
212#2437C2214yescomplemented
213#2437C2214yescomplemented
214#2435C2212yes—
215#2434C2212yescomplemented
216#2429C2214yescomplemented
217#2424C2214yes—
218#2424C2214yescomplemented
219#2418C2214yescomplemented
220#2418C2214yescomplemented
221#2417C2214yescomplemented
222#2415C2214yescomplemented
223#2413C2212yescomplemented
224#2412C2212yes—
225#2412C2214yescomplemented
226#2411C2214yes—
227#2411C2212yes—
228#2411C2212yes—
229#2411C2212yescomplemented
230#2410C2212yes—
231#2409C2212yescomplemented
232#2408C2212yes—
233#2405C2212yes—
234#2396C2212yescomplemented
235#2396C2212yescomplemented
236#2396C2214yescomplemented
237#2383C2214yescomplemented
238#2373C2214yescomplemented
239#2362C2214yescomplemented
240#2358C2214yescomplemented
241#2354C2214yescomplemented
242#2345C2212yescomplemented
243#2344C2212yescomplemented
244#2342C2212yes—
245#2342C2212yes—
246#2342C2214yescomplemented
247#2334C2214yescomplemented
248#2334C2214yescomplemented
249#2326C2214yescomplemented
250#2324C2214yescomplemented
251#2322C2212yescomplemented
252#2321C2212yes—
253#2321C2212yes—
254#2321C2212yescomplemented
255#2316C2211yescharacteristic, complemented
256#2315C2211yescharacteristic
257#2315C2212yes—
258#2313C2211yescharacteristic, complemented
259#2312C2211yescharacteristic
260#2309C2212yes—
261C4×#120C2212yes—
262C4×#120C2212yes—
263#2296C2212yescomplemented
264#2296C2212yescomplemented
265#2285C2211yescharacteristic, complemented
266#2283C2211yescharacteristic, complemented
267#2280C2212yes—
268C2×#379C2212yes—
269C26C2311yescharacteristic
270C23×Q8C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C24×C4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278C24×C4C2311yescharacteristic
279#563—216no—
280#563—216no—
281#556—216no—
282#554—216no—
283#552—216no—
284#552—216no—
285#551—232no—
286#551—232no—
287#551—232no—
288#551—232no—
289#551—216no—
290#551—216no—
291#544—28no—
292#543—28no—
293#542—216no—
294#541—216no—
295#541—216no—
296#539—216no—
297#539—28no—
298#538—28no—
299#533—28no—
300C2×C4⋊Q8C2311yescharacteristic, complemented
301C2×C4⋊Q8C2311yescharacteristic, complemented
302C2×C4⋊Q8C2312yescomplemented
303C2×C4⋊Q8C2312yescomplemented
304C2×C4⋊Q8C2312yescomplemented
305C2×C4⋊Q8C2314yescomplemented
306#529—28no—
307C2×#126—28no—
308C2×#126D4116yescomplemented
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2312yescomplemented
321C2×#126C2312yescomplemented
322C2×#126C2312yescomplemented
323C2×#126C2312yescomplemented
324C2×#125C2311yescharacteristic, complemented
325C2×#125C2312yescomplemented
326C2×#125C2312yescomplemented
327C2×#125C2312yescomplemented
328C2×#125C2312yescomplemented
329C2×#125C2312yescomplemented
330C2×#125C2312yescomplemented
331C2×#125C2312yescomplemented
332C2×#125C2312yescomplemented
333C2×#125C2312yescomplemented
334C2×#124—28no—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2311yescharacteristic, complemented
342C2×#123—28no—
343C2×#123—28no—
344C2×#123—28no—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2314yes—
360C2×#123C2312yescomplemented
361C2×C22⋊Q8—28no—
362C2×C22⋊Q8—28no—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yescomplemented
385C2×C22⋊Q8C2312yescomplemented
386C2×C22⋊Q8C2312yescomplemented
387C2×C22⋊Q8C2312yescomplemented
388C2×C22⋊Q8C2312yescomplemented
389C2×C22⋊Q8C2312yescomplemented
390C2×C22⋊Q8C2312yescomplemented
391C2×C22⋊Q8C2312yescomplemented
392C2×C22⋊Q8C2314yescomplemented
393C2×#121C2311yescharacteristic
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2312yes—
397C2×#121C2314yes—
398C2×#121C2312yescomplemented
399C2×#120—28no—
400C2×#120C2312yes—
401C2×#120C2312yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×C4×Q8C2312yescomplemented
409C2×C4×Q8C2311yescharacteristic, complemented
410C2×C4×Q8C2312yescomplemented
411C2×C4×Q8C2311yescharacteristic, complemented
412C2×C4×Q8C2311yescharacteristic, complemented
413C2×C4×Q8C2312yescomplemented
414C2×C4×D4—28no—
415C2×C4×D4—28no—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2311yescharacteristic, complemented
430C2×#117—28no—
431C2×#117—28no—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2314yes—
438C2×#117C2312yes—
439C2×#117C2314yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yescomplemented
445C2×#117C2312yescomplemented
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2312yescomplemented
455C22×C22⋊C4—28no—
456C22×C22⋊C4—28no—
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2311yescharacteristic
464C22×C22⋊C4C2314yes—
465C22×C22⋊C4C2311yescharacteristic
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2311yescharacteristic
468C22×C22⋊C4C2314yes—
469C22×C22⋊C4C2314yes—
470C22×C22⋊C4C2314yes—
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2314yes—
475C22×C22⋊C4C2314yes—
476C22×C22⋊C4C2311yescharacteristic
477C22×C22⋊C4C2311yescharacteristic
478C22×C22⋊C4C2311yescharacteristic
479C22×C42C2311yescharacteristic
480C22×C42C2311yescharacteristic
481C22×C42C2311yescharacteristic
482#400C2314yescomplemented
483#400C2312yescomplemented
484#400C2312yescomplemented
485#400C2312yescomplemented
486#400C2314yescomplemented
487#400C2314yescomplemented
488#400C2314yescomplemented
489#399C2312yes—
490#399C2312yes—
491#399C2314yes—
492#399C2312yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#399C2314yescomplemented
497#399C2314yescomplemented
498#399C2314yescomplemented
499#399C2314yescomplemented
500#398C2312yescomplemented
501#398C2314yescomplemented
502#398C2314yescomplemented
503#398C2314yescomplemented
504#398C2314yescomplemented
505#398C2314yescomplemented
506#398C2314yescomplemented
507#398C2314yescomplemented
508#398C2314yescomplemented
509#398C2314yescomplemented
510#398C2314yescomplemented
511#398C2314yescomplemented
512#397C2314yes—
513#397C2312yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yescomplemented
522#397C2314yescomplemented
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yescomplemented
534#396C2314yescomplemented
535#396C2314yescomplemented
536#396C2314yescomplemented
537#396C2314yescomplemented
538#396C2314yescomplemented
539#395C2312yescomplemented
540#395C2312yescomplemented
541#395C2314yescomplemented
542#395C2312yescomplemented
543#395C2314yescomplemented
544#395C2314yescomplemented
545#395C2314yescomplemented
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#394C2312yescomplemented
562#394C2314yescomplemented
563#394C2314yescomplemented
564#393C2314yes—
565#393C2312yes—
566#393C2314yes—
567#393C2312yes—
568#393C2312yes—
569#393C2314yes—
570#393C2314yescomplemented
571#393C2314yescomplemented
572#393C2314yescomplemented
573#392C2312yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#391C2314yescomplemented
579#391C2314yescomplemented
580#391C2314yescomplemented
581#391C2314yescomplemented
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yescomplemented
593#390C2314yescomplemented
594#389C2314yescomplemented
595#389C2314yescomplemented
596#389C2314yescomplemented
597#389C2314yescomplemented
598#389C2314yescomplemented
599#389C2314yescomplemented
600#389C2314yescomplemented
601#389C2314yescomplemented
602#389C2314yescomplemented
603#389C2314yescomplemented
604#389C2314yescomplemented
605#389C2314yescomplemented
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yescomplemented
626#388C2314yescomplemented
627#388C2314yescomplemented
628#388C2314yescomplemented
629#388C2314yescomplemented
630#388C2314yescomplemented
631#388C2314yescomplemented
632#388C2314yescomplemented
633#388C2314yescomplemented
634#388C2314yescomplemented
635#388C2314yescomplemented
636#388C2314yescomplemented
637#388C2314yescomplemented
638#388C2314yescomplemented
639#387C2314yescomplemented
640#387C2314yescomplemented
641#387C2314yescomplemented
642#387C2314yescomplemented
643#387C2314yescomplemented
644#387C2314yescomplemented
645#387C2314yescomplemented
646#387C2314yescomplemented
647#387C2314yescomplemented
648#387C2314yescomplemented
649#387C2314yescomplemented
650#387C2314yescomplemented
651#387C2314yescomplemented
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yescomplemented
668#386C2314yescomplemented
669#386C2314yescomplemented
670#385C2312yes—
671#385C2312yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yescomplemented
701#385C2314yescomplemented
702#385C2314yescomplemented
703#385C2314yescomplemented
704#384C2314yescomplemented
705#384C2314yescomplemented
706#384C2312yescomplemented
707#383C2312yescomplemented
708#382C2312yescomplemented
709#382C2312yescomplemented
710#381C2312yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yescomplemented
735#380C2312yescomplemented
736#380C2314yescomplemented
737#380C2312yescomplemented
738#380C2312yescomplemented
739#380C2314yescomplemented
740#379C2312yes—
741#379C2312yes—
742#379C2312yes—
743#379C2312yes—
744#379C2312yes—
745#379C2312yes—
746#379C2312yes—
747#379C2312yes—
748#379C2314yes—
749#379C2314yes—
750#379C2312yes—
751#379C2312yes—
752#379C2314yes—
753#379C2314yes—
754C4×C4⋊C4C2312yescomplemented
755C4×C4⋊C4C2312yescomplemented
756C4×C4⋊C4C2312yescomplemented
757C4×C4⋊C4C2314yescomplemented
758C4×C4⋊C4C2314yescomplemented
759C4×C4⋊C4C2314yescomplemented
760C4×C4⋊C4C2314yescomplemented
761C4×C4⋊C4C2314yescomplemented
762C4×C4⋊C4C2314yescomplemented
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772#376C2312yescomplemented
773C25—24no—
774C25—24no—
775C25—42no—
776C25—44no—
777C25—82no—
778C25C2411yescharacteristic
779C25C2414yes—
780C25C2411yescharacteristic
781C25C2411yescharacteristic
782C25C2411yescharacteristic
783C22×Q8—24no—
784C22×Q8—82no—
785C22×Q8C2411yescharacteristic
786C22×Q8C2411yescharacteristic
787C22×Q8C2412yes—
788C22×Q8C2412yes—
789C22×Q8C2411yescharacteristic
790C22×Q8C2412yes—
791C22×Q8C2414yes—
792C22×D4—24no—
793C22×D4—24no—
794C22×D4—24no—
795C22×D4—24no—
796C22×D4—42no—
797C22×D4—44no—
798C22×D4—82no—
799C22×D4C2412yes—
800C22×D4C2412yes—
801C22×D4C2412yes—
802C22×D4C2414yes—
803C22×D4C2412yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2411yescharacteristic
808C22×D4C2414yes—
809C22×D4C2414yes—
810C23×C4—24no—
811C23×C4—24no—
812C23×C4—24no—
813C23×C4—24no—
814C23×C4—24no—
815C23×C4—24no—
816C23×C4—42no—
817C23×C4—44no—
818C23×C4—82no—
819C23×C4—82no—
820C23×C4—82no—
821C23×C4C2411yescharacteristic
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—84no—
852#126—28no—
853#126—28no—
854#126—28no—
855#126—216no—
856#126—216no—
857#126—28no—
858#126—28no—
859#126—28no—
860#126—28no—
861#126—28no—
862#126—28no—
863#126C2×D4116yes—
864#126C2×D4116yes—
865#126C2×D4116yes—
866#126C2×D4116yes—
867#125—28no—
868#125—28no—
869#125—28no—
870#125—28no—
871#125—28no—
872#125—28no—
873#125—28no—
874#125—28no—
875#125—24no—
876#125—28no—
877#124—216no—
878#124—216no—
879#124—28no—
880#124—28no—
881#124—28no—
882#124—24no—
883#124—48no—
884#123—28no—
885#123—28no—
886#123—216no—
887#123—216no—
888#123—216no—
889#123—216no—
890#123—28no—
891#123—216no—
892#123—216no—
893#123—28no—
894#123—28no—
895#123—28no—
896#123—28no—
897#123—28no—
898#123—44no—
899#123—84no—
900C22⋊Q8—24no—
901C22⋊Q8—24no—
902C22⋊Q8—24no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—216no—
907C22⋊Q8—216no—
908C22⋊Q8—216no—
909C22⋊Q8—216no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—28no—
916C22⋊Q8—28no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—48no—
922C22⋊Q8—82no—
923C22⋊Q8—82no—
924C22⋊Q8—84no—
925C22⋊Q8—82no—
926C22⋊Q8—82no—
927C22⋊Q8—84no—
928C22⋊Q8—82no—
929C22⋊Q8—82no—
930#121—24no—
931#121—28no—
932#121—48no—
933#121—82no—
934#121—84no—
935#121—82no—
936#120—28no—
937#120—28no—
938#120—216no—
939#120—216no—
940#120—44no—
941#120—44no—
942#120—48no—
943#120—84no—
944C4×Q8—28no—
945C4×Q8—28no—
946C4×Q8—24no—
947C4×Q8—28no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—216no—
954C4×D4—216no—
955C4×D4—28no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—28no—
961C4×D4—24no—
962C4×D4—48no—
963C4×D4—84no—
964#117—28no—
965#117—28no—
966#117—216no—
967#117—216no—
968#117—28no—
969#117—28no—
970#117—28no—
971#117—28no—
972#117—28no—
973#117—28no—
974#117—28no—
975#117—28no—
976#117—44no—
977#117—44no—
978C2×C4⋊C4—24no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—24no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—28no—
984C2×C4⋊C4C2×D418yes—
985C2×C4⋊C4C2×D418yes—
986C2×C4⋊C4C2×D418yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C22⋊C4—24no—
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—28no—
1053C2×C22⋊C4—24no—
1054C2×C22⋊C4—24no—
1055C2×C22⋊C4—24no—
1056C2×C22⋊C4—24no—
1057C2×C22⋊C4—24no—
1058C2×C22⋊C4—24no—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—24no—
1061C2×C22⋊C4—24no—
1062C2×C22⋊C4—216no—
1063C2×C22⋊C4—216no—
1064C2×C22⋊C4—216no—
1065C2×C22⋊C4—216no—
1066C2×C22⋊C4—44no—
1067C2×C22⋊C4—48no—
1068C2×C22⋊C4—84no—
1069C2×C22⋊C4C2×D418yes—
1070C2×C22⋊C4C2×D418yes—
1071C2×C22⋊C4C2×D418yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C42—24no—
1142C2×C42—24no—
1143C2×C42C2×D418yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199C24—22no—
1200C24—22no—
1201C24—24no—
1202C24—22no—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—28no—
1209C24—28no—
1210C24—28no—
1211C24—22no—
1212C24—22no—
1213C24—42no—
1214C24—42no—
1215C24—42no—
1216C24—44no—
1217C24—42no—
1218C24—42no—
1219C24—42no—
1220C24—42no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24—416no—
1225C24—416no—
1226C24—816no—
1227C24—88no—
1228C24—816no—
1229C24C22×D414yes—
1230C242−1+414yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2512yes—
1236C24C2511yescharacteristic
1237C2×Q8—24no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—28no—
1244C2×Q8—44no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8—88no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—416no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—416no—
1285C2×D4—88no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—28no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—28no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—28no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—416no—
1343C22×C4—416no—
1344C22×C4—88no—
1345C22×C4—88no—
1346C22×C4—88no—
1347C22×C4C22×D414yes—
1348C22×C4C22×D414yes—
1349C22×C4C22×D414yes—
1350C22×C4C22×D414yes—
1351C22×C4C22×D414yes—
1352C22×C4C22×D414yes—
1353C22×C4C2514yes—
1354C22×C4C2514yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2514yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C4⋊C4—28no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—28no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4C22×D418yes—
1436C4⋊C4C22×D418yes—
1437C4⋊C4C22×D418yes—
1438C4⋊C4C22×D418yes—
1439C4⋊C4C22×D418yes—
1440C4⋊C4C22×D418yes—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4C22×D418yes—
1505C22⋊C4C22×D418yes—
1506C22⋊C4C22×D418yes—
1507C22⋊C4C22×D418yes—
1508C22⋊C4C22×D418yes—
1509C22⋊C4C22×D418yes—
1510C42—24no—
1511C42—24no—
1512C42—28no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—44no—
1521C42—44no—
1522C42—44no—
1523C42—44no—
1524C42—44no—
1525C42C22×D414yes—
1526C42C22×D414yes—
1527C42C22×D414yes—
1528C42C22×D414yes—
1529C23—22no—
1530C23—22no—
1531C23—28no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—24no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—24no—
1544C23—22no—
1545C23—24no—
1546C23—28no—
1547C23—28no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—24no—
1557C23—22no—
1558C23—24no—
1559C23—22no—
1560C23—48no—
1561C23—44no—
1562C23—44no—
1563C23—48no—
1564C23—48no—
1565C23—416no—
1566C23—416no—
1567C23—416no—
1568C23—44no—
1569C23—44no—
1570C23—44no—
1571C23—48no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—84no—
1577C23—84no—
1578C23—84no—
1579C23—84no—
1580C23—88no—
1581C23—88no—
1582C23—88no—
1583C23—88no—
1584C23—864no—
1585C23C23×D414yes—
1586C23C23×D412yes—
1587C23C2×2−1+414yes—
1588C23C2×2−1+412yes—
1589C23#58514yes—
1590C23#58512yes—
1591C23C2611yescharacteristic
1592Q8—84no—
1593Q8—84no—
1594Q8—82no—
1595Q8—82no—
1596Q8—82no—
1597Q8—84no—
1598Q8—88no—
1599D4—416no—
1600D4—48no—
1601D4—48no—
1602D4—48no—
1603D4—82no—
1604D4—84no—
1605D4—84no—
1606D4—88no—
1607D4—88no—
1608D4—88no—
1609D4—164no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—28no—
1623C2×C4—28no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—48no—
1670C2×C4—416no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—84no—
1677C2×C4—84no—
1678C2×C4—84no—
1679C2×C4—84no—
1680C2×C4—84no—
1681C2×C4—84no—
1682C2×C4—84no—
1683C2×C4—88no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—164no—
1687C2×C4C23×D412yes—
1688C2×C4C23×D414yes—
1689C2×C4C23×D412yes—
1690C2×C4C23×D412yes—
1691C2×C4C23×D414yes—
1692C2×C4C23×D414yes—
1693C2×C4C23×D412yes—
1694C2×C4C23×D412yes—
1695C2×C4C23×D412yes—
1696C22—22no—
1697C22—22no—
1698C22—24no—
1699C22—24no—
1700C22—24no—
1701C22—24no—
1702C22—24no—
1703C22—24no—
1704C22—24no—
1705C22—28no—
1706C22—24no—
1707C22—24no—
1708C22—416no—
1709C22—416no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—44no—
1716C22—44no—
1717C22—44no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—44no—
1726C22—42no—
1727C22—42no—
1728C22—44no—
1729C22—42no—
1730C22—42no—
1731C22—88no—
1732C22—88no—
1733C22—832no—
1734C22#348914yes—
1735C22C24×D411yescharacteristic
1736C22C22×2−1+411yescharacteristic
1737C22C2×#58511yescharacteristic
1738C22C2×#58512yes—
1739C22H(7,𝔽2)12yes—
1740C4—22no—
1741C4—22no—
1742C4—24no—
1743C4—24no—
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—24no—
1749C4—42no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—44no—
1762C4—44no—
1763C4—44no—
1764C4—44no—
1765C2—24no—
1766C2—44no—
1767C2—44no—
1768C2—44no—
1769C2—82no—
1770C2—82no—
1771C2C2×#348911yescharacteristic
1772C2#6281111yescharacteristic
1773C2#6285211yescharacteristic
1774C2#6290312yes—
1775C2#6290612yes—
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×#3564C2semidirect
2. C22×#551C2semidirect
3. #51412C2semidirect
4. #51064C2semidirect
5. #50888C2semidirect
6. #50859C2semidirect
7. #44776C2semidirect
8. #44772C2semidirect
9. #44699C2semidirect
10. #44581C2semidirect
11. #39594C2semidirect
12. #39116C2semidirect
13. #38046C2semidirect
14. #38044C2semidirect
15. #37843C2semidirect
16. #37833C2semidirect
17. #36720C2semidirect
18. #36719C2semidirect
19. #36709C2semidirect
20. #36708C2semidirect
21. #36427C2semidirect
22. #36158C2semidirect
23. #35240C2semidirect
24. #35236C2semidirect
25. #35174C2semidirect
26. #35118C2semidirect
27. #34988C2semidirect
28. #34987C2semidirect
29. #34982C2semidirect
30. #34634C2semidirect
31. #34381C2semidirect
33. C2×#563C22semidirect
34. C2×#563C22semidirect
35. C2×#556C22semidirect
36. C2×#554C22semidirect
37. C2×#552C22semidirect
38. C2×#552C22semidirect
46. C2×#544C22semidirect
48. C2×#542C22semidirect
49. C2×#541C22semidirect
50. C2×#541C22semidirect
51. C2×#539C22semidirect
52. C2×#539C22semidirect
54. C2×#533C22semidirect
55. C2×#529C22semidirect
71. #2853C22semidirect
72. #2853C22semidirect
79. #2848C22semidirect
80. #2848C22semidirect
81. #2848C22semidirect
83. #2847C22semidirect
85. #2722C22semidirect
86. #2720C22semidirect
87. #2720C22semidirect
88. #2718C22semidirect
89. #2715C22semidirect
90. #2710C22semidirect
91. #2707C22semidirect
92. #2707C22semidirect
93. #2705C22semidirect
94. #2704C22semidirect
95. #2702C22semidirect
96. #2696C22semidirect
97. #2696C22semidirect
98. #2695C22semidirect
99. #2695C22semidirect
100. #2694C22semidirect
101. #2693C22semidirect
102. #2692C22semidirect
103. #2692C22semidirect
104. #2690C22semidirect
105. #2690C22semidirect
106. #2689C22semidirect
107. #2687C22semidirect
108. #2687C22semidirect
111. #2683C22semidirect
112. #2681C22semidirect
113. #2681C22semidirect
114. #2680C22semidirect
115. #2680C22semidirect
117. #2677C22semidirect
118. #2677C22semidirect
119. #2674C22semidirect
120. #2674C22semidirect
121. #2672C22semidirect
122. #2672C22semidirect
123. #2671C22semidirect
125. #2636C22semidirect
126. #2633C22semidirect
127. #2629C22semidirect
128. #2628C22semidirect
129. #2628C22semidirect
130. #2627C22semidirect
131. #2627C22semidirect
132. #2627C22semidirect
133. #2627C22semidirect
139. #2626C22semidirect
141. #2618C22semidirect
144. #2611C22semidirect
145. #2610C22semidirect
146. #2609C22semidirect
147. #2601C22semidirect
148. #2599C22semidirect
149. #2598C22semidirect
150. #2562C22semidirect
152. #2561C22semidirect
153. #2558C22semidirect
154. #2558C22semidirect
155. #2554C22semidirect
156. #2547C22semidirect
157. #2542C22semidirect
158. #2542C22semidirect
159. #2540C22semidirect
161. #2538C22semidirect
162. #2537C22semidirect
163. #2536C22semidirect
164. #2536C22semidirect
166. #2534C22semidirect
167. #2521C22semidirect
168. #2521C22semidirect
169. #2502C22semidirect
170. #2502C22semidirect
171. #2496C22semidirect
172. #2492C22semidirect
173. #2491C22semidirect
174. #2487C22semidirect
175. #2487C22semidirect
176. #2484C22semidirect
180. #2482C22semidirect
181. #2480C22semidirect
182. #2480C22semidirect
183. #2480C22semidirect
184. #2479C22semidirect
185. #2479C22semidirect
186. #2478C22semidirect
187. #2475C22semidirect
188. #2475C22semidirect
189. #2474C22semidirect
191. #2472C22semidirect
192. #2472C22semidirect
193. #2471C22semidirect
194. #2468C22semidirect
195. #2467C22semidirect
196. #2463C22semidirect
197. #2461C22semidirect
198. #2461C22semidirect
199. #2460C22semidirect
200. #2458C22semidirect
201. #2458C22semidirect
202. #2456C22semidirect
203. #2454C22semidirect
204. #2454C22semidirect
205. #2452C22semidirect
206. #2452C22semidirect
207. #2443C22semidirect
208. #2441C22semidirect
209. #2437C22semidirect
210. #2437C22semidirect
211. #2437C22semidirect
212. #2437C22semidirect
213. #2437C22semidirect
215. #2434C22semidirect
216. #2429C22semidirect
218. #2424C22semidirect
219. #2418C22semidirect
220. #2418C22semidirect
221. #2417C22semidirect
222. #2415C22semidirect
223. #2413C22semidirect
225. #2412C22semidirect
229. #2411C22semidirect
231. #2409C22semidirect
234. #2396C22semidirect
235. #2396C22semidirect
236. #2396C22semidirect
237. #2383C22semidirect
238. #2373C22semidirect
239. #2362C22semidirect
240. #2358C22semidirect
241. #2354C22semidirect
242. #2345C22semidirect
243. #2344C22semidirect
246. #2342C22semidirect
247. #2334C22semidirect
248. #2334C22semidirect
249. #2326C22semidirect
250. #2324C22semidirect
251. #2322C22semidirect
254. #2321C22semidirect
255. #2316C22semidirect
258. #2313C22semidirect
263. #2296C22semidirect
264. #2296C22semidirect
265. #2285C22semidirect
266. #2283C22semidirect
300. C2×C4⋊Q8C23semidirect
301. C2×C4⋊Q8C23semidirect
302. C2×C4⋊Q8C23semidirect
303. C2×C4⋊Q8C23semidirect
304. C2×C4⋊Q8C23semidirect
305. C2×C4⋊Q8C23semidirect
308. C2×#126D4semidirect
320. C2×#126C23semidirect
321. C2×#126C23semidirect
322. C2×#126C23semidirect
323. C2×#126C23semidirect
324. C2×#125C23semidirect
325. C2×#125C23semidirect
326. C2×#125C23semidirect
327. C2×#125C23semidirect
328. C2×#125C23semidirect
329. C2×#125C23semidirect
330. C2×#125C23semidirect
331. C2×#125C23semidirect
332. C2×#125C23semidirect
333. C2×#125C23semidirect
341. C2×#124C23semidirect
360. C2×#123C23semidirect
384. C2×C22⋊Q8C23semidirect
385. C2×C22⋊Q8C23semidirect
386. C2×C22⋊Q8C23semidirect
387. C2×C22⋊Q8C23semidirect
388. C2×C22⋊Q8C23semidirect
389. C2×C22⋊Q8C23semidirect
390. C2×C22⋊Q8C23semidirect
391. C2×C22⋊Q8C23semidirect
392. C2×C22⋊Q8C23semidirect
398. C2×#121C23semidirect
408. C2×C4×Q8C23semidirect
409. C2×C4×Q8C23semidirect
410. C2×C4×Q8C23semidirect
411. C2×C4×Q8C23semidirect
412. C2×C4×Q8C23semidirect
413. C2×C4×Q8C23semidirect
429. C2×C4×D4C23semidirect
444. C2×#117C23semidirect
445. C2×#117C23semidirect
454. C22×C4⋊C4C23semidirect
482. #400C23semidirect
483. #400C23semidirect
484. #400C23semidirect
485. #400C23semidirect
486. #400C23semidirect
487. #400C23semidirect
488. #400C23semidirect
496. #399C23semidirect
497. #399C23semidirect
498. #399C23semidirect
499. #399C23semidirect
500. #398C23semidirect
501. #398C23semidirect
502. #398C23semidirect
503. #398C23semidirect
504. #398C23semidirect
505. #398C23semidirect
506. #398C23semidirect
507. #398C23semidirect
508. #398C23semidirect
509. #398C23semidirect
510. #398C23semidirect
511. #398C23semidirect
521. #397C23semidirect
522. #397C23semidirect
533. #396C23semidirect
534. #396C23semidirect
535. #396C23semidirect
536. #396C23semidirect
537. #396C23semidirect
538. #396C23semidirect
539. #395C23semidirect
540. #395C23semidirect
541. #395C23semidirect
542. #395C23semidirect
543. #395C23semidirect
544. #395C23semidirect
545. #395C23semidirect
561. #394C23semidirect
562. #394C23semidirect
563. #394C23semidirect
570. #393C23semidirect
571. #393C23semidirect
572. #393C23semidirect
578. #391C23semidirect
579. #391C23semidirect
580. #391C23semidirect
581. #391C23semidirect
592. #390C23semidirect
593. #390C23semidirect
594. #389C23semidirect
595. #389C23semidirect
596. #389C23semidirect
597. #389C23semidirect
598. #389C23semidirect
599. #389C23semidirect
600. #389C23semidirect
601. #389C23semidirect
602. #389C23semidirect
603. #389C23semidirect
604. #389C23semidirect
605. #389C23semidirect
625. #388C23semidirect
626. #388C23semidirect
627. #388C23semidirect
628. #388C23semidirect
629. #388C23semidirect
630. #388C23semidirect
631. #388C23semidirect
632. #388C23semidirect
633. #388C23semidirect
634. #388C23semidirect
635. #388C23semidirect
636. #388C23semidirect
637. #388C23semidirect
638. #388C23semidirect
639. #387C23semidirect
640. #387C23semidirect
641. #387C23semidirect
642. #387C23semidirect
643. #387C23semidirect
644. #387C23semidirect
645. #387C23semidirect
646. #387C23semidirect
647. #387C23semidirect
648. #387C23semidirect
649. #387C23semidirect
650. #387C23semidirect
651. #387C23semidirect
667. #386C23semidirect
668. #386C23semidirect
669. #386C23semidirect
700. #385C23semidirect
701. #385C23semidirect
702. #385C23semidirect
703. #385C23semidirect
704. #384C23semidirect
705. #384C23semidirect
706. #384C23semidirect
707. #383C23semidirect
708. #382C23semidirect
709. #382C23semidirect
734. #380C23semidirect
735. #380C23semidirect
736. #380C23semidirect
737. #380C23semidirect
738. #380C23semidirect
739. #380C23semidirect
754. C4×C4⋊C4C23semidirect
755. C4×C4⋊C4C23semidirect
756. C4×C4⋊C4C23semidirect
757. C4×C4⋊C4C23semidirect
758. C4×C4⋊C4C23semidirect
759. C4×C4⋊C4C23semidirect
760. C4×C4⋊C4C23semidirect
761. C4×C4⋊C4C23semidirect
762. C4×C4⋊C4C23semidirect
772. #376C23semidirect

Maximal subgroups

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

subgroupindex
C2×#35642
C22×#5512
#514122
#510642
#508882
#508592
#447762
#447722
#446992
#445812
#395942
#391162
#380462
#380442
#378432
#378332
#367202
#367192
#367092
#367082
#364272
#361582
#352402
#352362
#351742
#351182
#349882
#349872
#349822
#346342
#343812