Finite Group Databasebeta

← #7664863

Subgroups — #7664863

Order 512.

9418 conjugacy classes of subgroups.

The subgroup lattice has 2180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3460C211yesmaximal, characteristic, complemented
2C22×#535C211yesmaximal, characteristic, complemented
3#39438C212yesmaximal, complemented
4#39434C212yesmaximal, complemented
5#39429C214yesmaximal, complemented
6#39419C212yesmaximal, complemented
7#39416C212yesmaximal, complemented
8#37786C212yesmaximal, complemented
9#37782C212yesmaximal, complemented
10#37777C214yesmaximal, complemented
11#37751C212yesmaximal, complemented
12#37748C212yesmaximal, complemented
13#37696C212yesmaximal, complemented
14#37694C212yesmaximal, complemented
15#37664C212yesmaximal, complemented
16#37662C212yesmaximal, complemented
17#37660C214yesmaximal, complemented
18#36123C212yesmaximal, complemented
19#36121C212yesmaximal, complemented
20#36111C212yesmaximal, complemented
21#36107C212yesmaximal, complemented
22#36098C214yesmaximal, complemented
23#35264C211yesmaximal, characteristic, complemented
24#35256C211yesmaximal, characteristic, complemented
25#35256C211yesmaximal, characteristic, complemented
26#35254C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28#35251C211yesmaximal, characteristic, complemented
29#35222C211yesmaximal, characteristic, complemented
30#35168C211yesmaximal, characteristic, complemented
31#35152C211yesmaximal, characteristic, complemented
32#34136C211yesmaximal, characteristic, complemented
33C22⋊C4×#41C211yesmaximal, characteristic, complemented
34C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C24×D4C2211yescharacteristic
38C2×#546C2214yescomplemented
39#3460—216no—
40C2×#544C2211yescharacteristic, complemented
41C2×#542C2212yescomplemented
42C2×#542C2212yescomplemented
43C2×#540C2212yescomplemented
44C2×#540C2212yescomplemented
45C2×#538C2214yescomplemented
46C2×#537C2211yescharacteristic, complemented
47C2×#537C2211yescharacteristic, complemented
48C2×#535—216no—
49C2×#535C2214yes—
50C2×#535C2212yes—
51C2×#535C2212yes—
52C2×#535C2211yescharacteristic
53C2×#535C2212yes—
54C2×#535C2212yes—
55C2×#535C2211yescharacteristic
56C2×#535C2211yescharacteristic
57C2×#535C2211yescharacteristic
58C2×#535C2211yescharacteristic, complemented
59C2×#535C2211yescharacteristic, complemented
60C2×#532C2212yescomplemented
61C2×#532C2212yescomplemented
62C22×#127C2212yes—
63C2×#529C2212yescomplemented
64C2×#529C2212yescomplemented
65C22×#124C2212yes—
66C2×#525C2211yescharacteristic
67C2×#525C2214yescomplemented
68C22×#121C2212yes—
69C22×#121C2212yes—
70C22×#120C2214yes—
71C2×C4×#41C2211yescharacteristic, complemented
72C2×C4×#41C2211yescharacteristic, complemented
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic, complemented
76C22×#117C2211yescharacteristic
77C23×C22⋊C4C2212yes—
78#2861C2212yescomplemented
79#2858C2212yescomplemented
80#2857C2212yescomplemented
81#2856C2212yescomplemented
82#2856C2212yescomplemented
83#2854C2212yescomplemented
84#2854C2212yescomplemented
85#2851C2212yescomplemented
86#2850C2212yescomplemented
87#2850C2212yescomplemented
88#2849C2214yescomplemented
89#2848C2212yescomplemented
90#2847C2214yescomplemented
91#2847C2212yescomplemented
92#2846C2214yes—
93#2715C2214yescomplemented
94#2712C2214yescomplemented
95#2710C2214yescomplemented
96#2709C2214yescomplemented
97#2709C2214yescomplemented
98#2703C2214yescomplemented
99#2701C2214yescomplemented
100#2700C2214yescomplemented
101#2699C2214yescomplemented
102#2697C2214yescomplemented
103#2691C2214yescomplemented
104#2688C2214yescomplemented
105#2686C2214yescomplemented
106#2685C2214yescomplemented
107#2685C2214yescomplemented
108#2684C2214yescomplemented
109#2678C2214yescomplemented
110#2678C2214yescomplemented
111#2673C2214yescomplemented
112#2673C2214yescomplemented
113#2672C2214yescomplemented
114#2671C2214yescomplemented
115#2670C2214yescomplemented
116#2668C2214yescomplemented
117#2641C2212yescomplemented
118#2640C2212yescomplemented
119#2629C2212yescomplemented
120#2628C2212yescomplemented
121#2624C2212yescomplemented
122#2624C2212yescomplemented
123#2622C2214yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2619C2212yescomplemented
127#2619C2212yescomplemented
128#2617C2214yescomplemented
129#2616C2212yescomplemented
130#2615C2212yescomplemented
131#2613C2214yescomplemented
132#2559C2214yescomplemented
133#2557C2214yescomplemented
134#2555C2214yescomplemented
135#2544C2214yescomplemented
136#2543C2214yescomplemented
137#2539C2214yescomplemented
138#2534C2214yescomplemented
139#2521C2214yescomplemented
140#2491C2212yescomplemented
141#2491C2212yescomplemented
142#2490C2212yescomplemented
143#2490C2212yescomplemented
144#2480C2214yescomplemented
145#2480C2214yescomplemented
146#2476C2214yescomplemented
147#2474C2214yescomplemented
148#2472C2214yescomplemented
149#2472C2214yescomplemented
150#2472C2214yescomplemented
151#2472C2214yescomplemented
152#2464C2214yescomplemented
153#2459C2214yescomplemented
154#2448C2212yescomplemented
155#2448C2212yescomplemented
156#2447C2212yescomplemented
157#2447C2212yescomplemented
158#2445C2212yescomplemented
159#2445C2212yescomplemented
160#2445C2214yescomplemented
161#2445C2212yescomplemented
162#2445C2212yescomplemented
163#2444C2214yescomplemented
164#2442C2212yescomplemented
165#2441C2212yescomplemented
166#2440C2212yescomplemented
167#2439C2212yescomplemented
168#2438C2214yescomplemented
169#2437C2214yes—
170#2437C2214yescomplemented
171#2435C2212yes—
172#2435C2212yescomplemented
173#2435C2214yescomplemented
174#2433C2212yes—
175#2433C2212yescomplemented
176#2431C2214yescomplemented
177#2430C2214yescomplemented
178#2430C2214yescomplemented
179#2428C2212yescomplemented
180#2428C2212yescomplemented
181#2428C2212yescomplemented
182#2428C2212yescomplemented
183#2428C2212yescomplemented
184#2428C2212yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2428C2214yescomplemented
188#2427C2212yescomplemented
189#2427C2212yescomplemented
190#2427C2212yescomplemented
191#2427C2212yescomplemented
192#2426C2212yescomplemented
193#2426C2212yescomplemented
194#2426C2212yescomplemented
195#2426C2212yescomplemented
196#2425C2214yescomplemented
197#2424C2214yescomplemented
198#2424C2214yescomplemented
199#2424C2214yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2422C2212yescomplemented
204#2422C2212yescomplemented
205#2420C2212yescomplemented
206#2420C2212yescomplemented
207#2418C2214yescomplemented
208#2418C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2412C2214yescomplemented
212#2411C2214yescomplemented
213#2410C2214yes—
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2409C2212yescomplemented
217#2408C2212yes—
218#2408C2212yes—
219#2408C2212yescomplemented
220#2408C2212yescomplemented
221#2408C2214yescomplemented
222#2408C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2405C2214yescomplemented
226#2405C2214yescomplemented
227#2404C2214yescomplemented
228#2363C2211yescharacteristic, complemented
229#2363C2211yescharacteristic, complemented
230#2362C2211yescharacteristic, complemented
231#2362C2211yescharacteristic, complemented
232#2361C2211yescharacteristic, complemented
233#2361C2211yescharacteristic, complemented
234#2360C2211yescharacteristic, complemented
235#2360C2211yescharacteristic, complemented
236#2359C2212yescomplemented
237#2359C2212yescomplemented
238#2358C2212yes—
239#2358C2212yes—
240#2358C2214yescomplemented
241#2342C2214yescomplemented
242#2341C2211yescharacteristic, complemented
243#2341C2211yescharacteristic, complemented
244Q8×C22⋊C4C2211yescharacteristic, complemented
245Q8×C22⋊C4C2211yescharacteristic, complemented
246#2339C2212yescomplemented
247#2339C2212yescomplemented
248#2339C2211yescharacteristic, complemented
249#2339C2211yescharacteristic, complemented
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yescomplemented
257D4×C22⋊C4C2212yescomplemented
258D4×C22⋊C4C2212yescomplemented
259D4×C22⋊C4C2212yescomplemented
260D4×C22⋊C4C2214yescomplemented
261D4×C22⋊C4C2211yescharacteristic, complemented
262D4×C22⋊C4C2211yescharacteristic, complemented
263#2328C2212yescomplemented
264#2326C2212yescomplemented
265#2324C2212yescomplemented
266#2324C2212yescomplemented
267#2321C2214yescomplemented
268#2317C2211yescharacteristic, complemented
269#2317C2211yescharacteristic, complemented
270#2316C2211yescharacteristic, complemented
271#2311C2211yescharacteristic, complemented
272#2311C2211yescharacteristic, complemented
273#2309C2211yescharacteristic, complemented
274#2309C2211yescharacteristic, complemented
275C4×#127C2212yescomplemented
276C4×#124C2212yescomplemented
277C4×#121C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#120C2214yescomplemented
280#2297C2211yescharacteristic, complemented
281#2297C2211yescharacteristic, complemented
282#2297C2211yescharacteristic, complemented
283#2297C2212yescomplemented
284#2297C2212yescomplemented
285#2296C2211yescharacteristic, complemented
286#2293C2212yescomplemented
287C2×#390C2211yescharacteristic, complemented
288C2×#390C2211yescharacteristic, complemented
289#2290C2212yescomplemented
290#2290C2212yescomplemented
291C2×#386C2212yescomplemented
292C2×#386C2212yescomplemented
293#2280C2211yescharacteristic
294#2280C2212yescomplemented
295C2×#380C2211yescharacteristic
296C2×#379C2212yes—
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C2×C4×C22⋊C4C2211yescharacteristic
300C2×C4×C22⋊C4C2212yescomplemented
301C26C2312yes—
302C22×#41—28no—
303C22×#41—28no—
304C22×#41—44no—
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C22×#41C2312yes—
311C22×#41C2311yescharacteristic
312C22×#41C2314yescomplemented
313C23×Q8C2311yescharacteristic
314C23×D4—28no—
315C23×D4—28no—
316C23×D4—44no—
317C23×D4C2311yescharacteristic
318C23×D4C2312yes—
319C23×D4C2312yes—
320C23×D4C2312yes—
321C23×D4C2312yes—
322C23×D4C2312yes—
323C23×D4C2312yes—
324C23×D4C2311yescharacteristic
325C23×D4C2311yescharacteristic
326C23×D4C2314yes—
327C23×D4C2314yes—
328C24×C4C2312yes—
329C24×C4C2311yescharacteristic
330C24×C4C2312yes—
331C24×C4C2312yes—
332#546—416no—
333#544—28no—
334#542—216no—
335#542—216no—
336#540—216no—
337#540—216no—
338#538—232no—
339#537—28no—
340#537—44no—
341#535—28no—
342#535—28no—
343#535—28no—
344#535—216no—
345#535—216no—
346#535—216no—
347#535—216no—
348#535—232no—
349#535—28no—
350#535—44no—
351#535D4116yescomplemented
352#532—216no—
353#532—216no—
354C2×C4⋊Q8C2312yescomplemented
355C2×C4⋊Q8C2312yescomplemented
356C2×#127—216no—
357C2×#127C2312yes—
358C2×#127C2314yes—
359C2×#127C2314yes—
360C2×#127C2312yes—
361C2×#127C2312yes—
362C2×#127C2312yes—
363C2×#127C2312yes—
364C2×#127C2312yes—
365#529—216no—
366#529—216no—
367C2×#126C2314yescomplemented
368C2×#126C2314yescomplemented
369C2×#125C2312yescomplemented
370C2×#125C2312yescomplemented
371C2×#124—216no—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yescomplemented
381C2×#124C2314yescomplemented
382C2×#124C2314yescomplemented
383C2×#124C2314yescomplemented
384#525—28no—
385#525—232no—
386C2×#123C2312yes—
387C2×#123C2314yescomplemented
388C2×#123C2314yescomplemented
389C2×#123C2314yescomplemented
390C2×#123C2314yescomplemented
391C2×#123C2314yescomplemented
392C2×#123C2314yescomplemented
393C2×#123C2314yescomplemented
394C2×#123C2314yescomplemented
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yescomplemented
400C2×C22⋊Q8C2312yescomplemented
401C2×C22⋊Q8C2314yescomplemented
402C2×C22⋊Q8C2312yescomplemented
403C2×C22⋊Q8C2312yescomplemented
404C2×#121—216no—
405C2×#121—216no—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2311yescharacteristic
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yescomplemented
427C2×#121C2312yescomplemented
428C2×#121C2314yescomplemented
429C2×#121C2314yescomplemented
430C2×#121C2314yescomplemented
431C2×#121C2312yescomplemented
432C2×#121C2314yescomplemented
433C2×#121C2312yescomplemented
434C2×#121C2314yescomplemented
435C2×#121C2314yescomplemented
436C2×#121C2314yescomplemented
437C2×#121C2314yescomplemented
438C2×#121C2314yescomplemented
439C2×#120—232no—
440C2×#120C2312yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443C2×#120C2314yes—
444C2×#120C2314yes—
445C2×#120C2314yes—
446C2×#120C2314yes—
447C2×#120C2314yes—
448C2×#120C2314yes—
449C2×#120C2314yes—
450C2×#120C2314yes—
451C2×#120C2314yes—
452C2×#120C2314yes—
453C2×#120C2314yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456C4×#41—28no—
457C4×#41—28no—
458C4×#41—44no—
459C2×C4×Q8C2311yescharacteristic, complemented
460C2×C4×Q8C2311yescharacteristic, complemented
461C2×C4×Q8C2311yescharacteristic, complemented
462C2×C4×Q8C2311yescharacteristic, complemented
463C2×C4×Q8C2311yescharacteristic, complemented
464C2×C4×Q8C2311yescharacteristic, complemented
465C2×C4×D4—28no—
466C2×C4×D4—44no—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic, complemented
486C2×C4×D4C2311yescharacteristic, complemented
487C2×C4×D4C2314yescomplemented
488C2×C4×D4C2314yescomplemented
489C2×C4×D4C2311yescharacteristic, complemented
490C2×C4×D4C2311yescharacteristic, complemented
491C2×C4×D4C2311yescharacteristic, complemented
492C2×C4×D4C2314yescomplemented
493C2×C4×D4C2311yescharacteristic, complemented
494C2×C4×D4C2314yescomplemented
495C2×#117—28no—
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2314yescomplemented
506C2×#117C2312yescomplemented
507C2×#117C2312yescomplemented
508C2×#117C2312yescomplemented
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2311yescharacteristic
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C22⋊C4—48no—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2311yescharacteristic
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2314yes—
520C22×C22⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2311yescharacteristic
523C22×C22⋊C4C2314yes—
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2314yes—
526C22×C22⋊C4C2314yes—
527C22×C22⋊C4C2312yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2312yes—
531C22×C22⋊C4C2312yes—
532C22×C42C2312yes—
533C22×C42C2311yescharacteristic
534C22×C42C2311yescharacteristic
535C22×C42C2312yescomplemented
536C22×C42C2312yescomplemented
537C22×C42C2312yescomplemented
538#400C2314yescomplemented
539#399C2314yes—
540#399C2314yescomplemented
541#399C2314yescomplemented
542#398C2314yescomplemented
543#398C2314yescomplemented
544#397C2314yescomplemented
545#397C2314yescomplemented
546#397C2314yescomplemented
547#397C2314yescomplemented
548#397C2314yescomplemented
549#397C2314yescomplemented
550#397C2314yescomplemented
551#397C2314yescomplemented
552#397C2314yescomplemented
553#397C2314yescomplemented
554#396C2314yes—
555#396C2314yes—
556#396C2314yescomplemented
557#396C2314yescomplemented
558#396C2314yescomplemented
559#396C2314yescomplemented
560#395C2314yescomplemented
561#395C2314yescomplemented
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yescomplemented
569#394C2314yescomplemented
570#394C2314yescomplemented
571#394C2314yescomplemented
572#394C2314yescomplemented
573#394C2314yescomplemented
574#394C2314yescomplemented
575#394C2314yescomplemented
576#394C2314yescomplemented
577#394C2314yescomplemented
578#394C2314yescomplemented
579#394C2314yescomplemented
580#394C2314yescomplemented
581#394C2314yescomplemented
582#394C2314yescomplemented
583#394C2314yescomplemented
584#394C2314yescomplemented
585#394C2314yescomplemented
586#394C2314yescomplemented
587#394C2314yescomplemented
588#394C2314yescomplemented
589#394C2314yescomplemented
590#394C2314yescomplemented
591#394C2314yescomplemented
592#394C2314yescomplemented
593#393C2314yes—
594#393C2314yescomplemented
595#393C2314yescomplemented
596#393C2314yescomplemented
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yescomplemented
604#392C2314yescomplemented
605#392C2314yescomplemented
606#392C2314yescomplemented
607#392C2314yescomplemented
608#392C2314yescomplemented
609#392C2314yescomplemented
610#391C2312yescomplemented
611#391C2312yescomplemented
612#391C2311yescharacteristic, complemented
613#391C2311yescharacteristic, complemented
614#391C2311yescharacteristic, complemented
615#391C2311yescharacteristic, complemented
616#391C2311yescharacteristic, complemented
617#391C2312yescomplemented
618#391C2312yescomplemented
619#391C2312yescomplemented
620#391C2312yescomplemented
621#391C2314yescomplemented
622#391C2311yescharacteristic, complemented
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yescomplemented
646#390C2314yescomplemented
647#390C2314yescomplemented
648#390C2312yescomplemented
649#390C2311yescharacteristic, complemented
650#390C2311yescharacteristic, complemented
651#390C2311yescharacteristic, complemented
652#390C2311yescharacteristic, complemented
653#390C2314yescomplemented
654#390C2314yescomplemented
655#390C2311yescharacteristic, complemented
656#390C2314yescomplemented
657#390C2314yescomplemented
658#390C2314yescomplemented
659#390C2314yescomplemented
660#390C2311yescharacteristic, complemented
661#389C2312yescomplemented
662#389C2312yescomplemented
663#389C2312yescomplemented
664#389C2312yescomplemented
665#389C2312yescomplemented
666#389C2312yescomplemented
667#389C2312yescomplemented
668#389C2312yescomplemented
669#389C2311yescharacteristic, complemented
670#389C2311yescharacteristic, complemented
671#389C2314yescomplemented
672#389C2312yescomplemented
673#389C2312yescomplemented
674#389C2311yescharacteristic, complemented
675#389C2311yescharacteristic, complemented
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yescomplemented
681#388C2314yescomplemented
682#388C2314yescomplemented
683#388C2314yescomplemented
684#388C2314yescomplemented
685#388C2314yescomplemented
686#388C2314yescomplemented
687#388C2314yescomplemented
688#388C2314yescomplemented
689#388C2314yescomplemented
690#388C2314yescomplemented
691#388C2314yescomplemented
692#388C2314yescomplemented
693#388C2314yescomplemented
694#388C2314yescomplemented
695#388C2314yescomplemented
696#388C2312yescomplemented
697#388C2312yescomplemented
698#388C2312yescomplemented
699#388C2312yescomplemented
700#387C2314yescomplemented
701#387C2314yescomplemented
702#387C2312yescomplemented
703#387C2312yescomplemented
704#387C2312yescomplemented
705#387C2312yescomplemented
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2314yescomplemented
732#386C2314yescomplemented
733#386C2314yescomplemented
734#386C2314yescomplemented
735#386C2314yescomplemented
736#386C2314yescomplemented
737#386C2314yescomplemented
738#386C2314yescomplemented
739#386C2314yescomplemented
740#386C2314yescomplemented
741#386C2314yescomplemented
742#386C2314yescomplemented
743#386C2314yescomplemented
744#386C2312yescomplemented
745#386C2312yescomplemented
746#386C2312yescomplemented
747#386C2312yescomplemented
748#386C2314yescomplemented
749#386C2314yescomplemented
750#386C2314yescomplemented
751#386C2314yescomplemented
752#386C2314yescomplemented
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2314yescomplemented
763#385C2314yescomplemented
764#385C2314yescomplemented
765#385C2314yescomplemented
766#385C2314yescomplemented
767#385C2314yescomplemented
768#385C2312yescomplemented
769#385C2312yescomplemented
770#384C2312yescomplemented
771#384C2312yescomplemented
772#382C2312yescomplemented
773#382C2312yescomplemented
774#381C2312yes—
775#381C2314yescomplemented
776#381C2314yescomplemented
777#381C2312yescomplemented
778#381C2312yescomplemented
779#380C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2311yescharacteristic
788#380C2314yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2312yescomplemented
792#380C2312yescomplemented
793#380C2312yescomplemented
794#380C2312yescomplemented
795#380C2314yescomplemented
796#380C2314yescomplemented
797#380C2312yescomplemented
798#380C2312yescomplemented
799#379C2314yes—
800#379C2314yes—
801#379C2312yes—
802#379C2314yes—
803#379C2314yes—
804#379C2314yes—
805#379C2314yes—
806#379C2314yes—
807#379C2314yes—
808#379C2314yes—
809#379C2312yes—
810#379C2312yes—
811#379C2314yes—
812#379C2314yes—
813C4×C4⋊C4C2311yescharacteristic, complemented
814C4×C4⋊C4C2311yescharacteristic, complemented
815C4×C4⋊C4C2312yescomplemented
816C4×C4⋊C4C2312yescomplemented
817C4×C4⋊C4C2311yescharacteristic, complemented
818C4×C4⋊C4C2311yescharacteristic, complemented
819C4×C4⋊C4C2312yescomplemented
820C4×C4⋊C4C2312yescomplemented
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yescomplemented
838C4×C22⋊C4C2312yescomplemented
839C4×C22⋊C4C2314yescomplemented
840C4×C22⋊C4C2314yescomplemented
841C4×C22⋊C4C2312yescomplemented
842C4×C22⋊C4C2312yescomplemented
843C4×C22⋊C4C2312yescomplemented
844C4×C22⋊C4C2312yescomplemented
845C4×C22⋊C4C2312yescomplemented
846C4×C22⋊C4C2312yescomplemented
847C4×C22⋊C4C2312yescomplemented
848C4×C22⋊C4C2312yescomplemented
849#376C2312yescomplemented
850C2×#95C2311yescharacteristic
851C2×#95C2311yescharacteristic
852C2×#95C2312yes—
853C2×#95C2312yescomplemented
854C2×#95C2312yescomplemented
855C43C2312yescomplemented
856C25—28no—
857C25—28no—
858C25—44no—
859C25—44no—
860C25—44no—
861C25—82no—
862C25—82no—
863C25C2414yes—
864C25C2412yes—
865C25C2411yescharacteristic
866C25C2412yes—
867C25C2414yes—
868C25C2412yes—
869C2×#41—24no—
870C2×#41—28no—
871C2×#41—24no—
872C2×#41—216no—
873C2×#41—24no—
874C2×#41—28no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—28no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—28no—
882C2×#41—24no—
883C2×#41—24no—
884C2×#41—24no—
885C2×#41—24no—
886C2×#41—44no—
887C2×#41—48no—
888C2×#41—44no—
889C2×#41—42no—
890C2×#41—42no—
891C2×#41—464no—
892C2×#41—84no—
893C2×#41C2×D418yes—
894C22×Q8—24no—
895C22×Q8—24no—
896C22×Q8—42no—
897C22×Q8C2411yescharacteristic
898C22×Q8C2411yescharacteristic
899C22×Q8C2412yes—
900C22×Q8C2411yescharacteristic
901C22×Q8C2414yes—
902C22×D4—28no—
903C22×D4—28no—
904C22×D4—28no—
905C22×D4—28no—
906C22×D4—28no—
907C22×D4—24no—
908C22×D4—28no—
909C22×D4—28no—
910C22×D4—216no—
911C22×D4—216no—
912C22×D4—24no—
913C22×D4—24no—
914C22×D4—28no—
915C22×D4—28no—
916C22×D4—28no—
917C22×D4—28no—
918C22×D4—28no—
919C22×D4—24no—
920C22×D4—24no—
921C22×D4—24no—
922C22×D4—24no—
923C22×D4—44no—
924C22×D4—44no—
925C22×D4—44no—
926C22×D4—44no—
927C22×D4—42no—
928C22×D4—464no—
929C22×D4—44no—
930C22×D4—48no—
931C22×D4—48no—
932C22×D4—44no—
933C22×D4—84no—
934C22×D4—84no—
935C22×D4C2×D418yes—
936C22×D4C2412yes—
937C22×D4C2412yes—
938C22×D4C2411yescharacteristic
939C22×D4C2412yes—
940C22×D4C2412yes—
941C22×D4C2412yes—
942C22×D4C2411yescharacteristic
943C22×D4C2412yes—
944C22×D4C2412yes—
945C22×D4C2414yes—
946C22×D4C2414yes—
947C22×D4C2412yes—
948C22×D4C2412yes—
949C22×D4C2412yes—
950C22×D4C2412yes—
951C22×D4C2411yescharacteristic
952C22×D4C2412yes—
953C22×D4C2414yes—
954C22×D4C2414yes—
955C22×D4C2414yes—
956C22×D4C2414yes—
957C22×D4C2414yes—
958C22×D4C2414yes—
959C22×D4C2414yes—
960C22×D4C2414yes—
961C22×D4C2414yes—
962C22×D4C2414yes—
963C22×D4C2414yes—
964C22×D4C2414yes—
965C22×D4C2414yes—
966C22×D4C2414yes—
967C23×C4—24no—
968C23×C4—24no—
969C23×C4—28no—
970C23×C4—28no—
971C23×C4—28no—
972C23×C4—44no—
973C23×C4—44no—
974C23×C4—44no—
975C23×C4—44no—
976C23×C4—82no—
977C23×C4—82no—
978C23×C4#4118yescomplemented
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2412yes—
984C23×C4C2411yescharacteristic
985C23×C4C2411yescharacteristic
986C23×C4C2414yes—
987C23×C4C2412yes—
988C23×C4C2412yes—
989C23×C4C2412yes—
990C23×C4C2412yes—
991C23×C4C2412yes—
992C23×C4C2411yescharacteristic
993C23×C4C2411yescharacteristic
994C23×C4C2411yescharacteristic
995C23×C4C2411yescharacteristic
996C23×C4C2411yescharacteristic
997C23×C4C2411yescharacteristic
998C23×C4C2411yescharacteristic
999C23×C4C2412yes—
1000C23×C4C2412yes—
1001C23×C4C2414yes—
1002C23×C4C2414yes—
1003C23×C4C2412yes—
1004C23×C4C2412yes—
1005C23×C4C2412yes—
1006C23×C4C2414yes—
1007C23×C4C2412yes—
1008C23×C4C2411yescharacteristic
1009C4⋊Q8—28no—
1010C4⋊Q8—28no—
1011#127—216no—
1012#127—216no—
1013#127—28no—
1014#127—28no—
1015#127—28no—
1016#127—28no—
1017#127—44no—
1018#127C2×D4116yes—
1019#126—216no—
1020#126—216no—
1021#125—28no—
1022#125—28no—
1023#124—28no—
1024#124—28no—
1025#124—28no—
1026#124—216no—
1027#124—216no—
1028#124—216no—
1029#124—216no—
1030#124—28no—
1031#124—48no—
1032#124—44no—
1033#124—84no—
1034#124C2×D4116yes—
1035#123—216no—
1036#123—216no—
1037#123—28no—
1038#123—216no—
1039#123—216no—
1040#123—48no—
1041#123—48no—
1042#123—84no—
1043#123—84no—
1044C22⋊Q8—28no—
1045C22⋊Q8—28no—
1046C22⋊Q8—24no—
1047C22⋊Q8—24no—
1048C22⋊Q8—216no—
1049C22⋊Q8—216no—
1050C22⋊Q8—48no—
1051C22⋊Q8—44no—
1052C22⋊Q8—44no—
1053#121—28no—
1054#121—28no—
1055#121—216no—
1056#121—216no—
1057#121—216no—
1058#121—28no—
1059#121—28no—
1060#121—216no—
1061#121—28no—
1062#121—216no—
1063#121—216no—
1064#121—28no—
1065#121—28no—
1066#121—28no—
1067#121—24no—
1068#121—24no—
1069#121—28no—
1070#121—28no—
1071#121—216no—
1072#121—216no—
1073#121—48no—
1074#121—48no—
1075#121—48no—
1076#121—44no—
1077#121—44no—
1078#121—44no—
1079#121—44no—
1080#121—48no—
1081#121—84no—
1082#121—84no—
1083#121—84no—
1084#121C2×D4116yes—
1085#121C2×D4116yes—
1086#120—216no—
1087#120—216no—
1088#120—28no—
1089#120—216no—
1090#120—216no—
1091#120—216no—
1092#120—216no—
1093#120—216no—
1094#120—216no—
1095#120—48no—
1096#120—48no—
1097#120—48no—
1098#120—48no—
1099#120—84no—
1100#120—84no—
1101#120C2×D4132yes—
1102C4×Q8—24no—
1103C4×Q8—24no—
1104C4×Q8—24no—
1105C4×Q8—24no—
1106C4×Q8—42no—
1107C4×Q8—42no—
1108C4×D4—28no—
1109C4×D4—28no—
1110C4×D4—28no—
1111C4×D4—28no—
1112C4×D4—28no—
1113C4×D4—28no—
1114C4×D4—24no—
1115C4×D4—24no—
1116C4×D4—216no—
1117C4×D4—28no—
1118C4×D4—28no—
1119C4×D4—24no—
1120C4×D4—24no—
1121C4×D4—28no—
1122C4×D4—28no—
1123C4×D4—216no—
1124C4×D4—28no—
1125C4×D4—44no—
1126C4×D4—44no—
1127C4×D4—44no—
1128C4×D4—44no—
1129C4×D4—42no—
1130C4×D4—42no—
1131C4×D4—48no—
1132C4×D4—44no—
1133C4×D4—44no—
1134C4×D4—44no—
1135C4×D4—84no—
1136#117—24no—
1137#117—24no—
1138#117—28no—
1139#117—24no—
1140#117—24no—
1141#117—24no—
1142#117—24no—
1143#117—28no—
1144#117—216no—
1145#117—28no—
1146#117—28no—
1147#117—44no—
1148#117C2×D418yes—
1149C2×C4⋊C4—24no—
1150C2×C4⋊C4—24no—
1151C2×C4⋊C4—24no—
1152C2×C4⋊C4—24no—
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C22⋊C4—28no—
1193C2×C22⋊C4—28no—
1194C2×C22⋊C4—216no—
1195C2×C22⋊C4—216no—
1196C2×C22⋊C4—24no—
1197C2×C22⋊C4—216no—
1198C2×C22⋊C4—28no—
1199C2×C22⋊C4—48no—
1200C2×C22⋊C4—48no—
1201C2×C22⋊C4—44no—
1202C2×C22⋊C4—44no—
1203C2×C22⋊C4—48no—
1204C2×C22⋊C4—44no—
1205C2×C22⋊C4—42no—
1206C2×C22⋊C4—44no—
1207C2×C22⋊C4—44no—
1208C2×C22⋊C4—82no—
1209C2×C22⋊C4—82no—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2411yescharacteristic
1259C2×C22⋊C4C2411yescharacteristic
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2414yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2414yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2414yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2414yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2414yes—
1291C2×C22⋊C4C2414yes—
1292C2×C22⋊C4C2411yescharacteristic
1293C2×C42—24no—
1294C2×C42—28no—
1295C2×C42—24no—
1296C2×C42—28no—
1297C2×C42—28no—
1298C2×C42—44no—
1299C2×C42C2412yes—
1300C2×C42C2412yes—
1301C2×C42C2412yes—
1302C2×C42C2412yes—
1303C2×C42C2412yes—
1304C2×C42C2412yes—
1305C2×C42C2411yescharacteristic
1306C2×C42C2411yescharacteristic
1307C2×C42C2411yescharacteristic
1308C2×C42C2412yes—
1309C2×C42C2412yes—
1310C2×C42C2411yescharacteristic
1311C2×C42C2411yescharacteristic
1312C2×C42C2411yescharacteristic
1313C2×C42C2411yescharacteristic
1314C2×C42C2411yescharacteristic
1315C2×C42C2412yes—
1316C2×C42C2412yes—
1317C2×C42C2412yes—
1318C2×C42C2412yes—
1319C2×C42C2412yes—
1320C2×C42C2412yes—
1321C2×C42C2412yes—
1322C2×C42C2412yes—
1323C2×C42C2412yes—
1324#95C2411yescharacteristic
1325#95C2411yescharacteristic
1326#95C2411yescharacteristic
1327#95C2411yescharacteristic
1328#95C2411yescharacteristic
1329#95C2411yescharacteristic
1330#95C2411yescharacteristic
1331#95C2411yescharacteristic
1332#95C2414yes—
1333#95C2414yes—
1334#95C2412yes—
1335#95C2412yes—
1336#95C2412yes—
1337#95C2412yes—
1338#95C2412yes—
1339#95C2412yes—
1340#95C2412yes—
1341#95C2412yes—
1342#95C2412yes—
1343#95C2412yes—
1344#95C2412yes—
1345#95C2412yes—
1346#95C2412yes—
1347#95C2412yes—
1348#95C2412yes—
1349#95C2412yes—
1350#95C2412yes—
1351#95C2412yes—
1352#95C2412yes—
1353#95C2412yes—
1354#95C2412yes—
1355#95C2414yes—
1356#95C2414yes—
1357#95C2414yes—
1358#95C2414yes—
1359#95C2412yes—
1360#95C2412yes—
1361#95C2412yes—
1362#95C2414yes—
1363#95C2414yes—
1364#95C2414yes—
1365#95C2414yes—
1366#95C2414yes—
1367#95C2414yes—
1368C24—22no—
1369C24—24no—
1370C24—22no—
1371C24—24no—
1372C24—22no—
1373C24—22no—
1374C24—28no—
1375C24—24no—
1376C24—24no—
1377C24—24no—
1378C24—28no—
1379C24—28no—
1380C24—28no—
1381C24—24no—
1382C24—24no—
1383C24—28no—
1384C24—28no—
1385C24—24no—
1386C24—24no—
1387C24—42no—
1388C24—42no—
1389C24—42no—
1390C24—42no—
1391C24—41no—
1392C24—41no—
1393C24—42no—
1394C24—44no—
1395C24—42no—
1396C24—42no—
1397C24—42no—
1398C24—44no—
1399C24—44no—
1400C24—42no—
1401C24—42no—
1402C24—44no—
1403C24—44no—
1404C24—42no—
1405C24—44no—
1406C24—44no—
1407C24—44no—
1408C24—432no—
1409C24—432no—
1410C24—816no—
1411C24—816no—
1412C24—816no—
1413C24—816no—
1414C24—816no—
1415C24C22×D418yes—
1416C24C2×#4114yes—
1417C24C2514yes—
1418C24C2512yes—
1419C24C2512yes—
1420C24C2514yes—
1421C24C2512yes—
1422C24C2511yescharacteristic
1423C24C2511yescharacteristic
1424C24C2511yescharacteristic
1425#41—232no—
1426#41—432no—
1427#41—432no—
1428#41—416no—
1429#41—416no—
1430#41—416no—
1431#41—416no—
1432#41—832no—
1433C2×Q8—22no—
1434C2×Q8—24no—
1435C2×Q8—22no—
1436C2×Q8—28no—
1437C2×Q8—22no—
1438C2×Q8—22no—
1439C2×Q8—24no—
1440C2×Q8—22no—
1441C2×Q8—22no—
1442C2×Q8—22no—
1443C2×Q8—22no—
1444C2×Q8—42no—
1445C2×Q8—44no—
1446C2×Q8—44no—
1447C2×Q8—416no—
1448C2×Q8C22×D414yes—
1449C2×D4—24no—
1450C2×D4—24no—
1451C2×D4—24no—
1452C2×D4—24no—
1453C2×D4—24no—
1454C2×D4—28no—
1455C2×D4—28no—
1456C2×D4—24no—
1457C2×D4—24no—
1458C2×D4—24no—
1459C2×D4—24no—
1460C2×D4—24no—
1461C2×D4—24no—
1462C2×D4—24no—
1463C2×D4—24no—
1464C2×D4—24no—
1465C2×D4—24no—
1466C2×D4—28no—
1467C2×D4—28no—
1468C2×D4—28no—
1469C2×D4—28no—
1470C2×D4—28no—
1471C2×D4—28no—
1472C2×D4—28no—
1473C2×D4—24no—
1474C2×D4—232no—
1475C2×D4—22no—
1476C2×D4—24no—
1477C2×D4—24no—
1478C2×D4—24no—
1479C2×D4—22no—
1480C2×D4—28no—
1481C2×D4—28no—
1482C2×D4—24no—
1483C2×D4—24no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—28no—
1487C2×D4—28no—
1488C2×D4—24no—
1489C2×D4—24no—
1490C2×D4—24no—
1491C2×D4—22no—
1492C2×D4—24no—
1493C2×D4—24no—
1494C2×D4—22no—
1495C2×D4—22no—
1496C2×D4—24no—
1497C2×D4—22no—
1498C2×D4—24no—
1499C2×D4—432no—
1500C2×D4—432no—
1501C2×D4—432no—
1502C2×D4—432no—
1503C2×D4—416no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4—44no—
1507C2×D4—44no—
1508C2×D4—44no—
1509C2×D4—42no—
1510C2×D4—42no—
1511C2×D4—42no—
1512C2×D4—44no—
1513C2×D4—432no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—42no—
1518C2×D4—42no—
1519C2×D4—44no—
1520C2×D4—44no—
1521C2×D4—44no—
1522C2×D4—44no—
1523C2×D4—44no—
1524C2×D4—44no—
1525C2×D4—44no—
1526C2×D4—44no—
1527C2×D4—44no—
1528C2×D4—44no—
1529C2×D4—44no—
1530C2×D4—44no—
1531C2×D4—44no—
1532C2×D4—44no—
1533C2×D4—44no—
1534C2×D4—44no—
1535C2×D4—44no—
1536C2×D4—44no—
1537C2×D4—44no—
1538C2×D4—44no—
1539C2×D4—44no—
1540C2×D4—44no—
1541C2×D4—44no—
1542C2×D4—44no—
1543C2×D4—432no—
1544C2×D4—416no—
1545C2×D4—832no—
1546C2×D4—832no—
1547C2×D4C22×D418yes—
1548C2×D4C22×D418yes—
1549C2×D4C22×D418yes—
1550C2×D4C22×D414yes—
1551C2×D4C22×D4116yes—
1552C2×D4C22×D4116yes—
1553C22×C4—22no—
1554C22×C4—22no—
1555C22×C4—232no—
1556C22×C4—22no—
1557C22×C4—22no—
1558C22×C4—22no—
1559C22×C4—22no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—22no—
1563C22×C4—22no—
1564C22×C4—22no—
1565C22×C4—22no—
1566C22×C4—22no—
1567C22×C4—24no—
1568C22×C4—28no—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—22no—
1572C22×C4—24no—
1573C22×C4—24no—
1574C22×C4—22no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—28no—
1578C22×C4—22no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—24no—
1582C22×C4—24no—
1583C22×C4—24no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—22no—
1592C22×C4—22no—
1593C22×C4—28no—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—24no—
1597C22×C4—24no—
1598C22×C4—24no—
1599C22×C4—28no—
1600C22×C4—24no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—41no—
1605C22×C4—41no—
1606C22×C4—44no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—432no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—44no—
1615C22×C4—44no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—41no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—41no—
1622C22×C4—41no—
1623C22×C4—41no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—44no—
1627C22×C4—44no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—44no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—44no—
1634C22×C4—42no—
1635C22×C4—44no—
1636C22×C4—816no—
1637C22×C4—816no—
1638C22×C4C22×D418yes—
1639C22×C4C22×D414yes—
1640C22×C4C2×#4114yes—
1641C22×C4C2×#4114yes—
1642C22×C4C2×#4114yes—
1643C22×C4C2×#4114yes—
1644C22×C4C2×#4114yes—
1645C22×C4C2×#4114yes—
1646C22×C4H(5,𝔽2)14yes—
1647C22×C4C2512yes—
1648C22×C4C2511yescharacteristic
1649C22×C4C2512yes—
1650C22×C4C2511yescharacteristic
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2514yes—
1655C22×C4C2511yescharacteristic
1656C22×C4C2511yescharacteristic
1657C22×C4C2511yescharacteristic
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2511yescharacteristic
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2514yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2511yescharacteristic
1669C22×C4C2511yescharacteristic
1670C22×C4C2511yescharacteristic
1671C22×C4C2511yescharacteristic
1672C22×C4C2511yescharacteristic
1673C22×C4C2511yescharacteristic
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—22no—
1677C4⋊C4—22no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—22no—
1681C4⋊C4—22no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—28no—
1687C4⋊C4—28no—
1688C4⋊C4—28no—
1689C4⋊C4—28no—
1690C4⋊C4—22no—
1691C4⋊C4—22no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—22no—
1697C4⋊C4—22no—
1698C4⋊C4—24no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—44no—
1703C4⋊C4—44no—
1704C4⋊C4—44no—
1705C4⋊C4—44no—
1706C4⋊C4—44no—
1707C4⋊C4—44no—
1708C4⋊C4—44no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4C22×D414yes—
1712C4⋊C4C22×D414yes—
1713C22⋊C4—24no—
1714C22⋊C4—28no—
1715C22⋊C4—28no—
1716C22⋊C4—28no—
1717C22⋊C4—28no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—28no—
1722C22⋊C4—28no—
1723C22⋊C4—28no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—22no—
1728C22⋊C4—28no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—22no—
1732C22⋊C4—22no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—24no—
1736C22⋊C4—28no—
1737C22⋊C4—28no—
1738C22⋊C4—28no—
1739C22⋊C4—28no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—28no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—22no—
1746C22⋊C4—22no—
1747C22⋊C4—28no—
1748C22⋊C4—28no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—44no—
1753C22⋊C4—44no—
1754C22⋊C4—44no—
1755C22⋊C4—41no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—41no—
1759C22⋊C4—44no—
1760C22⋊C4—44no—
1761C22⋊C4—44no—
1762C22⋊C4—44no—
1763C22⋊C4—44no—
1764C22⋊C4—44no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—44no—
1769C22⋊C4—44no—
1770C22⋊C4—44no—
1771C22⋊C4—44no—
1772C22⋊C4—44no—
1773C22⋊C4—44no—
1774C22⋊C4—44no—
1775C22⋊C4—44no—
1776C22⋊C4—44no—
1777C22⋊C4—44no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—44no—
1781C22⋊C4—44no—
1782C22⋊C4—44no—
1783C22⋊C4—44no—
1784C22⋊C4—44no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—44no—
1791C22⋊C4—42no—
1792C22⋊C4C22×D418yes—
1793C22⋊C4C22×D4116yes—
1794C22⋊C4C22×D4116yes—
1795C22⋊C4H(5,𝔽2)14yes—
1796C42—22no—
1797C42—22no—
1798C42—24no—
1799C42—24no—
1800C42—22no—
1801C42—22no—
1802C42—24no—
1803C42—24no—
1804C42—24no—
1805C42—24no—
1806C42—24no—
1807C42—24no—
1808C42—24no—
1809C42—22no—
1810C42—22no—
1811C42—22no—
1812C42—22no—
1813C42—24no—
1814C42—24no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42C22×D418yes—
1821C23—21no—
1822C23—21no—
1823C23—21no—
1824C23—21no—
1825C23—21no—
1826C23—21no—
1827C23—21no—
1828C23—21no—
1829C23—21no—
1830C23—22no—
1831C23—24no—
1832C23—21no—
1833C23—22no—
1834C23—22no—
1835C23—24no—
1836C23—24no—
1837C23—21no—
1838C23—21no—
1839C23—24no—
1840C23—22no—
1841C23—22no—
1842C23—21no—
1843C23—21no—
1844C23—24no—
1845C23—24no—
1846C23—22no—
1847C23—28no—
1848C23—28no—
1849C23—216no—
1850C23—22no—
1851C23—24no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—24no—
1856C23—24no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—24no—
1862C23—22no—
1863C23—22no—
1864C23—24no—
1865C23—22no—
1866C23—24no—
1867C23—24no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—48no—
1872C23—44no—
1873C23—48no—
1874C23—44no—
1875C23—44no—
1876C23—44no—
1877C23—44no—
1878C23—48no—
1879C23—416no—
1880C23—416no—
1881C23—48no—
1882C23—48no—
1883C23—416no—
1884C23—416no—
1885C23—48no—
1886C23—48no—
1887C23—48no—
1888C23—48no—
1889C23—48no—
1890C23—416no—
1891C23—48no—
1892C23—48no—
1893C23—416no—
1894C23—48no—
1895C23—84no—
1896C23—84no—
1897C23—84no—
1898C23—84no—
1899C23—84no—
1900C23—88no—
1901C23—84no—
1902C23—88no—
1903C23—84no—
1904C23—88no—
1905C23—88no—
1906C23—88no—
1907C23—88no—
1908C23—88no—
1909C23—88no—
1910C23—8128no—
1911C23C23×D418yes—
1912C23C23×D414yes—
1913C23C23×D412yes—
1914C23C22×#4112yes—
1915C23C22×#4112yes—
1916C23C22×#4112yes—
1917C23C2×H(5,𝔽2)12yes—
1918C23C2×H(5,𝔽2)12yes—
1919C23#58512yes—
1920C23C2611yescharacteristic
1921Q8—28no—
1922Q8—48no—
1923Q8—44no—
1924Q8—44no—
1925Q8—88no—
1926D4—216no—
1927D4—216no—
1928D4—216no—
1929D4—28no—
1930D4—416no—
1931D4—416no—
1932D4—416no—
1933D4—416no—
1934D4—48no—
1935D4—48no—
1936D4—48no—
1937D4—48no—
1938D4—48no—
1939D4—48no—
1940D4—48no—
1941D4—48no—
1942D4—44no—
1943D4—44no—
1944D4—88no—
1945D4—88no—
1946D4—88no—
1947D4—84no—
1948D4—88no—
1949D4—88no—
1950D4—88no—
1951D4—88no—
1952D4—88no—
1953D4—88no—
1954D4—164no—
1955D4—164no—
1956D4—164no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—21no—
1971C2×C4—28no—
1972C2×C4—28no—
1973C2×C4—28no—
1974C2×C4—28no—
1975C2×C4—28no—
1976C2×C4—216no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—24no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—24no—
2000C2×C4—24no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—24no—
2006C2×C4—22no—
2007C2×C4—21no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—21no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—21no—
2014C2×C4—22no—
2015C2×C4—21no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—21no—
2019C2×C4—21no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—24no—
2027C2×C4—24no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—48no—
2032C2×C4—48no—
2033C2×C4—48no—
2034C2×C4—48no—
2035C2×C4—44no—
2036C2×C4—44no—
2037C2×C4—416no—
2038C2×C4—48no—
2039C2×C4—48no—
2040C2×C4—48no—
2041C2×C4—48no—
2042C2×C4—48no—
2043C2×C4—84no—
2044C2×C4—84no—
2045C2×C4—88no—
2046C2×C4—82no—
2047C2×C4—84no—
2048C2×C4—82no—
2049C2×C4—88no—
2050C2×C4—84no—
2051C2×C4—84no—
2052C2×C4—84no—
2053C2×C4—88no—
2054C2×C4#546116yescomplemented
2055C2×C4C23×D414yes—
2056C2×C4C23×D414yes—
2057C2×C4C23×D414yes—
2058C2×C4C23×D412yes—
2059C2×C4C23×D412yes—
2060C2×C4C22×#4112yes—
2061C2×C4C22×#4112yes—
2062C2×C4C22×#4112yes—
2063C2×C4C22×#4112yes—
2064C2×C4C2×H(5,𝔽2)12yes—
2065C2×C4C2×H(5,𝔽2)12yes—
2066C2×C4C2×H(5,𝔽2)12yes—
2067C2×C4C2×H(5,𝔽2)12yes—
2068C22—22no—
2069C22—22no—
2070C22—22no—
2071C22—22no—
2072C22—22no—
2073C22—22no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—28no—
2081C22—24no—
2082C22—24no—
2083C22—28no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—24no—
2088C22—28no—
2089C22—416no—
2090C22—432no—
2091C22—41no—
2092C22—41no—
2093C22—44no—
2094C22—42no—
2095C22—44no—
2096C22—42no—
2097C22—41no—
2098C22—42no—
2099C22—44no—
2100C22—41no—
2101C22—42no—
2102C22—44no—
2103C22—42no—
2104C22—42no—
2105C22—44no—
2106C22—42no—
2107C22—42no—
2108C22—44no—
2109C22—42no—
2110C22—44no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—44no—
2115C22—42no—
2116C22—44no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—44no—
2121C22—42no—
2122C22—42no—
2123C22—44no—
2124C22—816no—
2125C22—832no—
2126C22—816no—
2127C22—832no—
2128C22#346014yescomplemented
2129C22C2×#54614yes—
2130C22C24×D411yescharacteristic
2131C22C23×#4111yescharacteristic
2132C22C22×H(5,𝔽2)11yescharacteristic
2133C22C22×H(5,𝔽2)11yescharacteristic
2134C22C2×#58511yescharacteristic
2135C22H(7,𝔽2)11yescharacteristic
2136C22H(7,𝔽2)11yescharacteristic
2137C4—22no—
2138C4—24no—
2139C4—24no—
2140C4—22no—
2141C4—22no—
2142C4—22no—
2143C4—24no—
2144C4—41no—
2145C4—44no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—41no—
2150C4—41no—
2151C4—42no—
2152C4—42no—
2153C4—41no—
2154C4—44no—
2155C4—42no—
2156C4—41no—
2157C4—41no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4C2×#54614yes—
2163C4C2×#54614yes—
2164C2—24no—
2165C2—24no—
2166C2—48no—
2167C2—42no—
2168C2—44no—
2169C2—82no—
2170C2—82no—
2171C2—84no—
2172C2C2×#346011yescharacteristic
2173C2C22×#54611yescharacteristic
2174C2#6285511yescharacteristic
2175C2#6291211yescharacteristic
2176C2#6292411yescharacteristic
2177C2D4×H(5,𝔽2)11yescharacteristic
2178C2#6298711yescharacteristic
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×#3460C2semidirect
2. C22×#535C2semidirect
3. #39438C2semidirect
4. #39434C2semidirect
5. #39429C2semidirect
6. #39419C2semidirect
7. #39416C2semidirect
8. #37786C2semidirect
9. #37782C2semidirect
10. #37777C2semidirect
11. #37751C2semidirect
12. #37748C2semidirect
13. #37696C2semidirect
14. #37694C2semidirect
15. #37664C2semidirect
16. #37662C2semidirect
17. #37660C2semidirect
18. #36123C2semidirect
19. #36121C2semidirect
20. #36111C2semidirect
21. #36107C2semidirect
22. #36098C2semidirect
23. #35264C2semidirect
24. #35256C2semidirect
25. #35256C2semidirect
26. #35254C2semidirect
27. #35253C2semidirect
28. #35251C2semidirect
29. #35222C2semidirect
30. #35168C2semidirect
31. #35152C2semidirect
32. #34136C2semidirect
33. C22⋊C4×#41C2semidirect
34. C2×D4×C22⋊C4C2semidirect
35. C4×#535C2semidirect
38. C2×#546C22semidirect
40. C2×#544C22semidirect
41. C2×#542C22semidirect
42. C2×#542C22semidirect
43. C2×#540C22semidirect
44. C2×#540C22semidirect
45. C2×#538C22semidirect
46. C2×#537C22semidirect
47. C2×#537C22semidirect
58. C2×#535C22semidirect
59. C2×#535C22semidirect
60. C2×#532C22semidirect
61. C2×#532C22semidirect
63. C2×#529C22semidirect
64. C2×#529C22semidirect
67. C2×#525C22semidirect
71. C2×C4×#41C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
78. #2861C22semidirect
79. #2858C22semidirect
80. #2857C22semidirect
81. #2856C22semidirect
82. #2856C22semidirect
83. #2854C22semidirect
84. #2854C22semidirect
85. #2851C22semidirect
86. #2850C22semidirect
87. #2850C22semidirect
88. #2849C22semidirect
89. #2848C22semidirect
90. #2847C22semidirect
91. #2847C22semidirect
93. #2715C22semidirect
94. #2712C22semidirect
95. #2710C22semidirect
96. #2709C22semidirect
97. #2709C22semidirect
98. #2703C22semidirect
99. #2701C22semidirect
100. #2700C22semidirect
101. #2699C22semidirect
102. #2697C22semidirect
103. #2691C22semidirect
104. #2688C22semidirect
105. #2686C22semidirect
106. #2685C22semidirect
107. #2685C22semidirect
108. #2684C22semidirect
109. #2678C22semidirect
110. #2678C22semidirect
111. #2673C22semidirect
112. #2673C22semidirect
113. #2672C22semidirect
114. #2671C22semidirect
115. #2670C22semidirect
116. #2668C22semidirect
117. #2641C22semidirect
118. #2640C22semidirect
119. #2629C22semidirect
120. #2628C22semidirect
121. #2624C22semidirect
122. #2624C22semidirect
123. #2622C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2619C22semidirect
127. #2619C22semidirect
128. #2617C22semidirect
129. #2616C22semidirect
130. #2615C22semidirect
131. #2613C22semidirect
132. #2559C22semidirect
133. #2557C22semidirect
134. #2555C22semidirect
135. #2544C22semidirect
136. #2543C22semidirect
137. #2539C22semidirect
138. #2534C22semidirect
139. #2521C22semidirect
140. #2491C22semidirect
141. #2491C22semidirect
142. #2490C22semidirect
143. #2490C22semidirect
144. #2480C22semidirect
145. #2480C22semidirect
146. #2476C22semidirect
147. #2474C22semidirect
148. #2472C22semidirect
149. #2472C22semidirect
150. #2472C22semidirect
151. #2472C22semidirect
152. #2464C22semidirect
153. #2459C22semidirect
154. #2448C22semidirect
155. #2448C22semidirect
156. #2447C22semidirect
157. #2447C22semidirect
158. #2445C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
161. #2445C22semidirect
162. #2445C22semidirect
163. #2444C22semidirect
164. #2442C22semidirect
165. #2441C22semidirect
166. #2440C22semidirect
167. #2439C22semidirect
168. #2438C22semidirect
170. #2437C22semidirect
172. #2435C22semidirect
173. #2435C22semidirect
175. #2433C22semidirect
176. #2431C22semidirect
177. #2430C22semidirect
178. #2430C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
188. #2427C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2427C22semidirect
192. #2426C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2426C22semidirect
196. #2425C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2424C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
207. #2418C22semidirect
208. #2418C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2412C22semidirect
212. #2411C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2409C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2405C22semidirect
226. #2405C22semidirect
227. #2404C22semidirect
228. #2363C22semidirect
229. #2363C22semidirect
230. #2362C22semidirect
231. #2362C22semidirect
232. #2361C22semidirect
233. #2361C22semidirect
234. #2360C22semidirect
235. #2360C22semidirect
236. #2359C22semidirect
237. #2359C22semidirect
240. #2358C22semidirect
241. #2342C22semidirect
242. #2341C22semidirect
243. #2341C22semidirect
244. Q8×C22⋊C4C22semidirect
245. Q8×C22⋊C4C22semidirect
246. #2339C22semidirect
247. #2339C22semidirect
248. #2339C22semidirect
249. #2339C22semidirect
256. D4×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. D4×C22⋊C4C22semidirect
260. D4×C22⋊C4C22semidirect
261. D4×C22⋊C4C22semidirect
262. D4×C22⋊C4C22semidirect
263. #2328C22semidirect
264. #2326C22semidirect
265. #2324C22semidirect
266. #2324C22semidirect
267. #2321C22semidirect
268. #2317C22semidirect
269. #2317C22semidirect
270. #2316C22semidirect
271. #2311C22semidirect
272. #2311C22semidirect
273. #2309C22semidirect
274. #2309C22semidirect
275. C4×#127C22semidirect
276. C4×#124C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
279. C4×#120C22semidirect
280. #2297C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
283. #2297C22semidirect
284. #2297C22semidirect
285. #2296C22semidirect
286. #2293C22semidirect
287. C2×#390C22semidirect
288. C2×#390C22semidirect
289. #2290C22semidirect
290. #2290C22semidirect
291. C2×#386C22semidirect
292. C2×#386C22semidirect
294. #2280C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
300. C2×C4×C22⋊C4C22semidirect
312. C22×#41C23semidirect
351. #535D4semidirect
354. C2×C4⋊Q8C23semidirect
355. C2×C4⋊Q8C23semidirect
367. C2×#126C23semidirect
368. C2×#126C23semidirect
369. C2×#125C23semidirect
370. C2×#125C23semidirect
380. C2×#124C23semidirect
381. C2×#124C23semidirect
382. C2×#124C23semidirect
383. C2×#124C23semidirect
387. C2×#123C23semidirect
388. C2×#123C23semidirect
389. C2×#123C23semidirect
390. C2×#123C23semidirect
391. C2×#123C23semidirect
392. C2×#123C23semidirect
393. C2×#123C23semidirect
394. C2×#123C23semidirect
399. C2×C22⋊Q8C23semidirect
400. C2×C22⋊Q8C23semidirect
401. C2×C22⋊Q8C23semidirect
402. C2×C22⋊Q8C23semidirect
403. C2×C22⋊Q8C23semidirect
426. C2×#121C23semidirect
427. C2×#121C23semidirect
428. C2×#121C23semidirect
429. C2×#121C23semidirect
430. C2×#121C23semidirect
431. C2×#121C23semidirect
432. C2×#121C23semidirect
433. C2×#121C23semidirect
434. C2×#121C23semidirect
435. C2×#121C23semidirect
436. C2×#121C23semidirect
437. C2×#121C23semidirect
438. C2×#121C23semidirect
459. C2×C4×Q8C23semidirect
460. C2×C4×Q8C23semidirect
461. C2×C4×Q8C23semidirect
462. C2×C4×Q8C23semidirect
463. C2×C4×Q8C23semidirect
464. C2×C4×Q8C23semidirect
485. C2×C4×D4C23semidirect
486. C2×C4×D4C23semidirect
487. C2×C4×D4C23semidirect
488. C2×C4×D4C23semidirect
489. C2×C4×D4C23semidirect
490. C2×C4×D4C23semidirect
491. C2×C4×D4C23semidirect
492. C2×C4×D4C23semidirect
493. C2×C4×D4C23semidirect
494. C2×C4×D4C23semidirect
505. C2×#117C23semidirect
506. C2×#117C23semidirect
507. C2×#117C23semidirect
508. C2×#117C23semidirect
535. C22×C42C23semidirect
536. C22×C42C23semidirect
537. C22×C42C23semidirect
538. #400C23semidirect
540. #399C23semidirect
541. #399C23semidirect
542. #398C23semidirect
543. #398C23semidirect
544. #397C23semidirect
545. #397C23semidirect
546. #397C23semidirect
547. #397C23semidirect
548. #397C23semidirect
549. #397C23semidirect
550. #397C23semidirect
551. #397C23semidirect
552. #397C23semidirect
553. #397C23semidirect
556. #396C23semidirect
557. #396C23semidirect
558. #396C23semidirect
559. #396C23semidirect
560. #395C23semidirect
561. #395C23semidirect
568. #394C23semidirect
569. #394C23semidirect
570. #394C23semidirect
571. #394C23semidirect
572. #394C23semidirect
573. #394C23semidirect
574. #394C23semidirect
575. #394C23semidirect
576. #394C23semidirect
577. #394C23semidirect
578. #394C23semidirect
579. #394C23semidirect
580. #394C23semidirect
581. #394C23semidirect
582. #394C23semidirect
583. #394C23semidirect
584. #394C23semidirect
585. #394C23semidirect
586. #394C23semidirect
587. #394C23semidirect
588. #394C23semidirect
589. #394C23semidirect
590. #394C23semidirect
591. #394C23semidirect
592. #394C23semidirect
594. #393C23semidirect
595. #393C23semidirect
596. #393C23semidirect
603. #392C23semidirect
604. #392C23semidirect
605. #392C23semidirect
606. #392C23semidirect
607. #392C23semidirect
608. #392C23semidirect
609. #392C23semidirect
610. #391C23semidirect
611. #391C23semidirect
612. #391C23semidirect
613. #391C23semidirect
614. #391C23semidirect
615. #391C23semidirect
616. #391C23semidirect
617. #391C23semidirect
618. #391C23semidirect
619. #391C23semidirect
620. #391C23semidirect
621. #391C23semidirect
622. #391C23semidirect
645. #390C23semidirect
646. #390C23semidirect
647. #390C23semidirect
648. #390C23semidirect
649. #390C23semidirect
650. #390C23semidirect
651. #390C23semidirect
652. #390C23semidirect
653. #390C23semidirect
654. #390C23semidirect
655. #390C23semidirect
656. #390C23semidirect
657. #390C23semidirect
658. #390C23semidirect
659. #390C23semidirect
660. #390C23semidirect
661. #389C23semidirect
662. #389C23semidirect
663. #389C23semidirect
664. #389C23semidirect
665. #389C23semidirect
666. #389C23semidirect
667. #389C23semidirect
668. #389C23semidirect
669. #389C23semidirect
670. #389C23semidirect
671. #389C23semidirect
672. #389C23semidirect
673. #389C23semidirect
674. #389C23semidirect
675. #389C23semidirect
680. #388C23semidirect
681. #388C23semidirect
682. #388C23semidirect
683. #388C23semidirect
684. #388C23semidirect
685. #388C23semidirect
686. #388C23semidirect
687. #388C23semidirect
688. #388C23semidirect
689. #388C23semidirect
690. #388C23semidirect
691. #388C23semidirect
692. #388C23semidirect
693. #388C23semidirect
694. #388C23semidirect
695. #388C23semidirect
696. #388C23semidirect
697. #388C23semidirect
698. #388C23semidirect
699. #388C23semidirect
700. #387C23semidirect
701. #387C23semidirect
702. #387C23semidirect
703. #387C23semidirect
704. #387C23semidirect
705. #387C23semidirect
731. #386C23semidirect
732. #386C23semidirect
733. #386C23semidirect
734. #386C23semidirect
735. #386C23semidirect
736. #386C23semidirect
737. #386C23semidirect
738. #386C23semidirect
739. #386C23semidirect
740. #386C23semidirect
741. #386C23semidirect
742. #386C23semidirect
743. #386C23semidirect
744. #386C23semidirect
745. #386C23semidirect
746. #386C23semidirect
747. #386C23semidirect
748. #386C23semidirect
749. #386C23semidirect
750. #386C23semidirect
751. #386C23semidirect
752. #386C23semidirect
762. #385C23semidirect
763. #385C23semidirect
764. #385C23semidirect
765. #385C23semidirect
766. #385C23semidirect
767. #385C23semidirect
768. #385C23semidirect
769. #385C23semidirect
770. #384C23semidirect
771. #384C23semidirect
772. #382C23semidirect
773. #382C23semidirect
775. #381C23semidirect
776. #381C23semidirect
777. #381C23semidirect
778. #381C23semidirect
791. #380C23semidirect
792. #380C23semidirect
793. #380C23semidirect
794. #380C23semidirect
795. #380C23semidirect
796. #380C23semidirect
797. #380C23semidirect
798. #380C23semidirect
813. C4×C4⋊C4C23semidirect
814. C4×C4⋊C4C23semidirect
815. C4×C4⋊C4C23semidirect
816. C4×C4⋊C4C23semidirect
817. C4×C4⋊C4C23semidirect
818. C4×C4⋊C4C23semidirect
819. C4×C4⋊C4C23semidirect
820. C4×C4⋊C4C23semidirect
837. C4×C22⋊C4C23semidirect
838. C4×C22⋊C4C23semidirect
839. C4×C22⋊C4C23semidirect
840. C4×C22⋊C4C23semidirect
841. C4×C22⋊C4C23semidirect
842. C4×C22⋊C4C23semidirect
843. C4×C22⋊C4C23semidirect
844. C4×C22⋊C4C23semidirect
845. C4×C22⋊C4C23semidirect
846. C4×C22⋊C4C23semidirect
847. C4×C22⋊C4C23semidirect
848. C4×C22⋊C4C23semidirect
849. #376C23semidirect
853. C2×#95C23semidirect
854. C2×#95C23semidirect
855. C43C23semidirect
978. C23×C4#41semidirect
2054. C2×C4#546semidirect
2128. C22#3460semidirect

Maximal subgroups

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

subgroupindex
C2×#34602
C22×#5352
#394382
#394342
#394292
#394192
#394162
#377862
#377822
#377772
#377512
#377482
#376962
#376942
#376642
#376622
#376602
#361232
#361212
#361112
#361072
#360982
#352642
#352562
#352542
#352532
#352512
#352222
#351682
#351522
#341362
C22⋊C4×#412
C2×D4×C22⋊C42
C4×#5352