Finite Group Databasebeta

← #12272011

Subgroups — #12272011

Order 1280.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65972C211yesmaximal, characteristic, complemented
2C2×C4×D4×D5C211yesmaximal, characteristic, complemented
3C5×#2463C211yesmaximal, characteristic, complemented
4#10614565C211yesmaximal, characteristic, complemented
5#10614548C211yesmaximal, characteristic, complemented
6#10614548C211yesmaximal, characteristic, complemented
7#10614141C211yesmaximal, characteristic, complemented
8C4×#4083C211yesmaximal, characteristic, complemented
9#10614097C211yesmaximal, characteristic, complemented
10#10608841C211yesmaximal, characteristic, complemented
11#10608837C211yesmaximal, characteristic, complemented
12#10608709C211yesmaximal, characteristic, complemented
13#10608705C211yesmaximal, characteristic, complemented
14#10608596C211yesmaximal, characteristic, complemented
15#10608545C211yesmaximal, characteristic, complemented
16#10608486C211yesmaximal, characteristic
17#10608435C211yesmaximal, characteristic, complemented
18#10607689C211yesmaximal, characteristic, complemented
19#10607579C211yesmaximal, characteristic, complemented
20#10607559C211yesmaximal, characteristic, complemented
21#10607272C211yesmaximal, characteristic, complemented
22#10607176C211yesmaximal, characteristic, complemented
23#10607046C211yesmaximal, characteristic, complemented
24#10606740C211yesmaximal, characteristic, complemented
25#10606676C211yesmaximal, characteristic, complemented
26#10606667C211yesmaximal, characteristic, complemented
27#10606626C211yesmaximal, characteristic, complemented
28#10606623C211yesmaximal, characteristic, complemented
29#10606608C211yesmaximal, characteristic, complemented
30D5×#385C211yesmaximal, characteristic, complemented
31#10606165C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×C22⋊Q8C2211yescharacteristic, complemented
36C2×C5×C22⋊Q8C2211yescharacteristic, complemented
37C2×C4×C5×D4C2211yescharacteristic
38C2×C4×C5×D4C2211yescharacteristic, complemented
39C2×#4092C2211yescharacteristic
40C2×#4092C2211yescharacteristic, complemented
41C2×#4092C2211yescharacteristic, complemented
42C2×#4084C2211yescharacteristic
43C2×#4083C2211yescharacteristic
44C2×#4083C2211yescharacteristic
45C2×D4×Dic5C2211yescharacteristic
46C2×#4075C2211yescharacteristic, complemented
47C2×C4×C22⋊D5C2211yescharacteristic
48C2×C4×C22⋊D5C2211yescharacteristic
49C2×C4×C22⋊D5C2211yescharacteristic
50C2×C4×C22⋊D5C2211yescharacteristic, complemented
51#65972—28no—
52C4×D4×D5—28no—
53C2×#4044C2211yescharacteristic, complemented
54C2×#4040C2211yescharacteristic
55C2×#4039C2211yescharacteristic
56C2×D5×C4⋊C4C2211yescharacteristic
57C2×D5×C4⋊C4C2211yescharacteristic, complemented
58C2×D5×C4⋊C4C2211yescharacteristic, complemented
59C2×#4035C2211yescharacteristic, complemented
60C2×#4035C2211yescharacteristic, complemented
61C2×#4030C2211yescharacteristic
62C2×#4029C2211yescharacteristic
63C2×#4029C2211yescharacteristic, complemented
64C2×#4029C2211yescharacteristic, complemented
65C2×#4029C2211yescharacteristic, complemented
66C2×#4027C2211yescharacteristic
67C2×#4027C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×D5×C22⋊C4C2211yescharacteristic
71C2×D5×C22⋊C4C2211yescharacteristic
72C2×#4025C2211yescharacteristic, complemented
73C2×C4×D20C2211yescharacteristic
74C2×C42×D5C2211yescharacteristic
75C5×#394C2211yescharacteristic
76C5×#394C2211yescharacteristic, complemented
77C5×#393C2211yescharacteristic, complemented
78C5×#392C2211yescharacteristic
79C5×#388C2211yescharacteristic, complemented
80C5×#388C2211yescharacteristic, complemented
81C5×#387C2211yescharacteristic, complemented
82C5×#387C2211yescharacteristic, complemented
83C5×#386C2211yescharacteristic, complemented
84C5×#386C2211yescharacteristic, complemented
85C5×#385C2211yescharacteristic, complemented
86#65518C2211yescharacteristic, complemented
87#65512C2211yescharacteristic
88#65511C2211yescharacteristic
89#65511C2211yescharacteristic
90#65511C2211yescharacteristic, complemented
91#65511C2211yescharacteristic, complemented
92#65509C2211yescharacteristic, complemented
93#65509C2211yescharacteristic, complemented
94#65501C2211yescharacteristic, complemented
95#65499C2211yescharacteristic, complemented
96#65499C2211yescharacteristic, complemented
97#65499C2211yescharacteristic, complemented
98C4×C22⋊Dic5C2211yescharacteristic, complemented
99#65278C2211yescharacteristic
100#65278C2211yescharacteristic
101#65278C2211yescharacteristic
102#65278C2211yescharacteristic
103#65278C2211yescharacteristic, complemented
104#65278C2211yescharacteristic, complemented
105#65278C2211yescharacteristic, complemented
106#65278C2211yescharacteristic, complemented
107#65276C2211yescharacteristic
108#65276C2211yescharacteristic, complemented
109#65272C2211yescharacteristic, complemented
110#65272C2211yescharacteristic, complemented
111#65270C2211yescharacteristic, complemented
112#65270C2211yescharacteristic, complemented
113#65261C2211yescharacteristic, complemented
114#65261C2211yescharacteristic, complemented
115#65250C2211yescharacteristic
116#65250C2211yescharacteristic
117#65250C2211yescharacteristic, complemented
118#65248C2211yescharacteristic
119#65245C2211yescharacteristic
120#65245C2211yescharacteristic
121#65245C2211yescharacteristic
122#65245C2211yescharacteristic
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic, complemented
126#65245C2211yescharacteristic, complemented
127#65244C2211yescharacteristic
128#65244C2211yescharacteristic
129#65244C2211yescharacteristic
130#65244C2211yescharacteristic
131#65242C2211yescharacteristic, complemented
132#65241C2211yescharacteristic, complemented
133#65241C2211yescharacteristic, complemented
134#65240C2211yescharacteristic, complemented
135#65239C2211yescharacteristic, complemented
136#65239C2211yescharacteristic, complemented
137#65238C2211yescharacteristic, complemented
138#65238C2211yescharacteristic, complemented
139#65238C2211yescharacteristic, complemented
140#65237C2211yescharacteristic, complemented
141#65237C2211yescharacteristic, complemented
142#65237C2211yescharacteristic, complemented
143#65237C2211yescharacteristic, complemented
144#65235C2211yescharacteristic, complemented
145#65235C2211yescharacteristic, complemented
146#65235C2211yescharacteristic, complemented
147#65235C2211yescharacteristic, complemented
148#65234C2211yescharacteristic, complemented
149#65234C2211yescharacteristic, complemented
150#65233C2211yescharacteristic, complemented
151#65229C2211yescharacteristic, complemented
152C4×#685C2211yescharacteristic
153C4×#685C2211yescharacteristic, complemented
154#65222C2211yescharacteristic, complemented
155#65222C2211yescharacteristic, complemented
156#65217C2211yescharacteristic, complemented
157#64964C2211yescharacteristic, complemented
158#64964C2211yescharacteristic, complemented
159#64964C2211yescharacteristic, complemented
160#64958C2211yescharacteristic, complemented
161#64957C2211yescharacteristic
162#64957C2211yescharacteristic
163#64957C2211yescharacteristic
164#64957C2211yescharacteristic
165#64957C2211yescharacteristic
166#64957C2211yescharacteristic
167#64957C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169#64956C2211yescharacteristic
170#64956C2211yescharacteristic
171#64956C2211yescharacteristic, complemented
172#64954C2211yescharacteristic
173#64954C2211yescharacteristic
174#64953C2211yescharacteristic, complemented
175#64953C2211yescharacteristic, complemented
176#64953C2211yescharacteristic, complemented
177D5×#95C2211yescharacteristic, complemented
178D5×#95C2211yescharacteristic, complemented
179#64950C2211yescharacteristic, complemented
180#64950C2211yescharacteristic, complemented
181#64948C2211yescharacteristic, complemented
182#64944C2211yescharacteristic, complemented
183#64943C2211yescharacteristic, complemented
184#64943C2211yescharacteristic, complemented
185#64942C2211yescharacteristic, complemented
186#64940C2211yescharacteristic, complemented
187#64939C2211yescharacteristic, complemented
188#64936C2211yescharacteristic, complemented
189#34991—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×Q8C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C2×D4×D5—24no—
207C2×D4×D5—24no—
208C2×D4×D5—24no—
209C22×D20C2311yescharacteristic
210C22×C4×D5—24no—
211C22×C4×D5—24no—
212C22×C4×D5—42no—
213C22×C4×D5—42no—
214C22×C4×D5—42no—
215C22×C4×D5—42no—
216C22×C4×D5C2311yescharacteristic
217C22×C4×D5C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×C4×D5C2311yescharacteristic
229C5×C22⋊Q8—24no—
230C5×C22⋊Q8—42no—
231C4×C5×D4—24no—
232C4×C5×D4—42no—
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C42×C5C2311yescharacteristic
252C2×C42×C5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268#4092—24no—
269#4092—24no—
270#4092—42no—
271#4084—24no—
272#4083—24no—
273#4083—42no—
274D4×Dic5—24no—
275#4075—24no—
276C4×C22⋊D5—24no—
277C4×C22⋊D5—24no—
278C4×C22⋊D5—24no—
279C4×C22⋊D5—42no—
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304C2×C4⋊Dic5C2311yescharacteristic
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×#683C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333C2×C4×Dic5C2311yescharacteristic
334#4044—24no—
335#4040—24no—
336#4039D418yescomplemented
337D5×C4⋊C4—24no—
338D5×C4⋊C4—24no—
339D5×C4⋊C4—42no—
340#4035—24no—
341#4035—24no—
342#4030—24no—
343#4029—24no—
344#4029—24no—
345#4029—24no—
346#4029—42no—
347#4027—24no—
348#4027—24no—
349D5×C22⋊C4—24no—
350D5×C22⋊C4—24no—
351D5×C22⋊C4—24no—
352D5×C22⋊C4—42no—
353#4025—24no—
354C4×D20—24no—
355C42×D5—24no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#539—51no—
393C22×C4×D4—51no—
394#2852—51no—
395#2851—51no—
396#2849—51no—
397#2848—51no—
398#2638—51no—
399#2636—51no—
400#2633—51no—
401#2630—51no—
402#2480—51no—
403#2473—51no—
404#2466—51no—
405#2463D511yescharacteristic, complemented
406#2460—51no—
407#2455—51no—
408#2449—51no—
409#2449—51no—
410#2443—51no—
411#2437—51no—
412#2425—51no—
413#2419—51no—
414#2418—51no—
415#2412—51no—
416#2410—51no—
417#2405—51no—
418#2325—51no—
419#2322—51no—
420#2318—51no—
421C4×#120—51no—
422C2×#385—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—22no—
432C23×D5—22no—
433C23×D5—22no—
434C23×D5—22no—
435C23×D5—41no—
436C23×D5—41no—
437C23×D5—41no—
438C23×D5—41no—
439C23×D5#4114yes—
440C23×D5C2411yescharacteristic
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×Q8—22no—
444C2×C5×Q8—41no—
445C2×C5×Q8—41no—
446C2×C5×D4—22no—
447C2×C5×D4—22no—
448C2×C5×D4—22no—
449C2×C5×D4—22no—
450C2×C5×D4—22no—
451C2×C5×D4—41no—
452C2×C5×D4—41no—
453C2×C5×D4—41no—
454C2×C5×D4—41no—
455C22×C4×C5—22no—
456C22×C4×C5—22no—
457C22×C4×C5—22no—
458C22×C4×C5—22no—
459C22×C4×C5—22no—
460C22×C4×C5—41no—
461C22×C4×C5—41no—
462C22×C4×C5—41no—
463C22×C4×C5—41no—
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C2×C22⋊D5—22no—
477C2×C22⋊D5—22no—
478C2×C22⋊D5—22no—
479C2×C22⋊D5—22no—
480C2×C22⋊D5—22no—
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—22no—
484C2×C22⋊D5—22no—
485C2×C22⋊D5—22no—
486C2×C22⋊D5—22no—
487C2×C22⋊D5—22no—
488C2×C22⋊D5—41no—
489C2×C22⋊D5—41no—
490C2×C22⋊D5#4114yes—
491C22×Dic5—22no—
492C22×Dic5—22no—
493C22×Dic5—41no—
494C22×Dic5—41no—
495C22×Dic5—41no—
496C22×Dic5—41no—
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510D4×D5—232no—
511C2×D20—22no—
512C2×D20—22no—
513C2×D20C2×D414yes—
514C2×C4×D5—22no—
515C2×C4×D5—22no—
516C2×C4×D5—22no—
517C2×C4×D5—22no—
518C2×C4×D5—22no—
519C2×C4×D5—22no—
520C2×C4×D5—22no—
521C2×C4×D5—22no—
522C2×C4×D5—22no—
523C2×C4×D5—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—416no—
537C2×C4×D5—416no—
538C2×C4×D5—41no—
539C2×C4×D5—41no—
540C2×C4×D5—41no—
541C2×C4×D5—41no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5—41no—
550C2×C4×D5—41no—
551C2×C4×D5—41no—
552C2×C4×D5—41no—
553C2×C4×D5C2×D414yes—
554C2×C4×D5C2×D414yes—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—41no—
560C5×C4⋊C4C2×D414yes—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—41no—
569C5×C22⋊C4—41no—
570C5×C22⋊C4—41no—
571C5×C22⋊C4—41no—
572C5×C22⋊C4—41no—
573C42×C5—22no—
574C42×C5—41no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—41no—
585C22⋊Dic5—41no—
586C22⋊Dic5—41no—
587C22⋊Dic5—41no—
588C22⋊Dic5—41no—
589C22⋊Dic5—41no—
590#685—22no—
591#685—22no—
592#685—22no—
593#685—22no—
594#685—22no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—22no—
601#685—22no—
602#685—22no—
603#685—22no—
604#685—22no—
605#685—41no—
606#685—41no—
607#685—41no—
608#685—41no—
609#685C2×D414yes—
610#685C2×D414yes—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—22no—
615C4⋊Dic5—22no—
616C4⋊Dic5—22no—
617C4⋊Dic5—41no—
618C4⋊Dic5—41no—
619C4⋊Dic5—41no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—22no—
630#683—22no—
631#683—22no—
632#683—41no—
633#683—41no—
634#683—41no—
635#683—41no—
636#683—41no—
637#683—41no—
638#683—41no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—41no—
643C4×Dic5C2×D414yes—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4—51no—
647#539—108no—
648C2×#126—51no—
649C2×#126—51no—
650C2×#125—51no—
651C2×#125—51no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×#123—51no—
656C2×#123—51no—
657C2×#123—51no—
658C2×C22⋊Q8—51no—
659C2×C22⋊Q8—51no—
660C2×C22⋊Q8—51no—
661C2×C22⋊Q8C2×D511yescharacteristic, complemented
662C2×C22⋊Q8C2×D511yescharacteristic, complemented
663C2×#121—51no—
664C2×#121—51no—
665C2×#120—51no—
666C2×#120—51no—
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4—51no—
676C2×C4×D4—108no—
677C2×C4×D4C2×D511yescharacteristic
678C2×C4×D4C2×D511yescharacteristic, complemented
679C22×C4⋊C4—51no—
680C22×C4⋊C4—51no—
681C22×C4⋊C4—51no—
682C22×C22⋊C4—51no—
683C22×C22⋊C4—51no—
684C22×C22⋊C4—51no—
685C22×C22⋊C4—51no—
686C22×C42—51no—
687#400—51no—
688#399—51no—
689#399—51no—
690#399—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#398—51no—
695#397—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#397—51no—
701#396—51no—
702#396—51no—
703#396—51no—
704#396—51no—
705#395—51no—
706#394—51no—
707#394—51no—
708#394—51no—
709#394—51no—
710#394—51no—
711#394—51no—
712#394—51no—
713#394—51no—
714#394C2×D511yescharacteristic
715#394C2×D511yescharacteristic, complemented
716#393C2×D511yescharacteristic, complemented
717#392—51no—
718#392C2×D511yescharacteristic
719#389—51no—
720#389—51no—
721#389—51no—
722#389—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388C2×D511yescharacteristic, complemented
730#388C2×D511yescharacteristic, complemented
731#387—51no—
732#387—51no—
733#387—51no—
734#387—51no—
735#387—51no—
736#387—51no—
737#387—51no—
738#387—51no—
739#387C2×D511yescharacteristic, complemented
740#387C2×D511yescharacteristic, complemented
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386C2×D511yescharacteristic, complemented
754#386C2×D511yescharacteristic, complemented
755#385—51no—
756#385—51no—
757#385—51no—
758#385—51no—
759#385—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#385—51no—
766#385—51no—
767#385—51no—
768#385—51no—
769#385—51no—
770#385—51no—
771#385—51no—
772#385—51no—
773#385—51no—
774#385—51no—
775#385—51no—
776#385—51no—
777#385—51no—
778#385—51no—
779#385—51no—
780#385C2×D511yescharacteristic, complemented
781#383—51no—
782#382—51no—
783#381—51no—
784#381—51no—
785#381—51no—
786#380—51no—
787#380—51no—
788#380—51no—
789#380—51no—
790#380—51no—
791#380—51no—
792#379—51no—
793#379—51no—
794#379—51no—
795#379—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4—51no—
798C4×C22⋊C4—51no—
799C2×#95—51no—
800C2×#95—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—21no—
819C23×C5—21no—
820C23×C5C2×#4112yes—
821C23×C5C2×#4112yes—
822C23×C5C2511yescharacteristic
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—21no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—28no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—28no—
839C22×D5—28no—
840C22×D5—44no—
841C22×D5—44no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5—44no—
847C22×D5—44no—
848C22×D5—44no—
849C22×D5—44no—
850C22×D5—44no—
851C22×D5C22×D412yes—
852C22×D5C22×D412yes—
853C22×D5C2×#4112yes—
854C22×D5C2×#4112yes—
855C22×D5C2×#4112yes—
856C22×D5H(5,𝔽2)12yes—
857C22×D52−1+412yes—
858C5×Q8—82no—
859C5×D4—28no—
860C5×D4—44no—
861C5×D4—82no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—21no—
887C2×C4×C5—21no—
888C2×C4×C5—21no—
889C2×C4×C5—21no—
890C2×C4×C5—21no—
891C2×C4×C5—21no—
892C2×C4×C5—21no—
893C2×C4×C5—21no—
894C2×C4×C5—44no—
895C2×C4×C5—44no—
896C2×C4×C5—82no—
897C2×C4×C5C22×D412yes—
898C2×C4×C5C22×D412yes—
899C2×C4×C5C22×D412yes—
900C2×C4×C5H(5,𝔽2)12yes—
901C22⋊D5—28no—
902C22⋊D5—28no—
903C22⋊D5—44no—
904C22⋊D5—44no—
905C22⋊D5—82no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—21no—
938C2×Dic5—21no—
939C2×Dic5—21no—
940C2×Dic5—21no—
941C2×Dic5—21no—
942C2×Dic5—44no—
943C2×Dic5—44no—
944C2×Dic5C22×D412yes—
945C2×Dic5C22×D412yes—
946C2×Dic5C2×#4112yes—
947D20—28no—
948C4×D5—28no—
949C4×D5—28no—
950C4×D5—44no—
951C4×D5—44no—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—44no—
959C4×D5—82no—
960C4×D5—82no—
961C25—51no—
962C25—51no—
963C22×Q8C22×D511yescharacteristic
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—104no—
971C22×D4—104no—
972C22×D4—104no—
973C22×D4C22×D511yescharacteristic
974C22×D4C22×D511yescharacteristic
975C22×D4C22×D511yescharacteristic
976C23×C4—51no—
977C23×C4—51no—
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—51no—
990C23×C4—51no—
991C23×C4—104no—
992C23×C4—104no—
993C23×C4—202no—
994C23×C4—202no—
995C23×C4—202no—
996C23×C4—202no—
997C23×C4C22×D511yescharacteristic
998C23×C4C22×D511yescharacteristic
999C23×C4C22×D511yescharacteristic
1000#126—104no—
1001#126—104no—
1002#125—104no—
1003#125—104no—
1004#123—104no—
1005#123—104no—
1006#123—104no—
1007#123—104no—
1008#123—104no—
1009#123—202no—
1010C22⋊Q8—24no—
1011C22⋊Q8—42no—
1012C22⋊Q8—104no—
1013C22⋊Q8—104no—
1014C22⋊Q8—202no—
1015#121—104no—
1016#121—104no—
1017#120—104no—
1018#120—202no—
1019C4×D4—24no—
1020C4×D4—42no—
1021C4×D4—58no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—104no—
1025C4×D4—104no—
1026C4×D4—104no—
1027C4×D4—104no—
1028C4×D4—104no—
1029C4×D4—202no—
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4—51no—
1050C2×C4⋊C4—51no—
1051C2×C4⋊C4—51no—
1052C2×C4⋊C4—51no—
1053C2×C4⋊C4—51no—
1054C2×C4⋊C4—51no—
1055C2×C4⋊C4—51no—
1056C2×C4⋊C4—51no—
1057C2×C4⋊C4—51no—
1058C2×C4⋊C4—104no—
1059C2×C4⋊C4—104no—
1060C2×C4⋊C4—202no—
1061C2×C4⋊C4C22×D511yescharacteristic
1062C2×C4⋊C4C22×D511yescharacteristic
1063C2×C4⋊C4C22×D511yescharacteristic
1064C2×C4⋊C4C22×D511yescharacteristic
1065C2×C4⋊C4C22×D511yescharacteristic
1066C2×C4⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—51no—
1089C2×C22⋊C4—51no—
1090C2×C22⋊C4—51no—
1091C2×C22⋊C4—51no—
1092C2×C22⋊C4—51no—
1093C2×C22⋊C4—51no—
1094C2×C22⋊C4—51no—
1095C2×C22⋊C4—51no—
1096C2×C22⋊C4—51no—
1097C2×C22⋊C4—51no—
1098C2×C22⋊C4—51no—
1099C2×C22⋊C4—51no—
1100C2×C22⋊C4—51no—
1101C2×C22⋊C4—51no—
1102C2×C22⋊C4—51no—
1103C2×C22⋊C4—104no—
1104C2×C22⋊C4—104no—
1105C2×C22⋊C4—104no—
1106C2×C22⋊C4—202no—
1107C2×C22⋊C4C22×D511yescharacteristic
1108C2×C22⋊C4C22×D511yescharacteristic
1109C2×C22⋊C4C22×D511yescharacteristic
1110C2×C22⋊C4C22×D511yescharacteristic
1111C2×C22⋊C4C22×D511yescharacteristic
1112C2×C22⋊C4C22×D511yescharacteristic
1113C2×C22⋊C4C22×D511yescharacteristic
1114C2×C22⋊C4C22×D511yescharacteristic
1115C2×C22⋊C4C22×D511yescharacteristic
1116C2×C22⋊C4C22×D511yescharacteristic
1117C2×C22⋊C4C22×D511yescharacteristic
1118C2×C22⋊C4C22×D511yescharacteristic
1119C2×C42—51no—
1120C2×C42—51no—
1121C2×C42—51no—
1122C2×C42—51no—
1123C2×C42—51no—
1124C2×C42—104no—
1125C2×C42C22×D511yescharacteristic
1126C2×C42C22×D511yescharacteristic
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95—51no—
1150#95—51no—
1151#95—51no—
1152#95—51no—
1153#95—51no—
1154#95—51no—
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159#95C22×D511yescharacteristic
1160#95C22×D511yescharacteristic
1161#95C22×D511yescharacteristic
1162#95C22×D511yescharacteristic
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—22no—
1169C22×C5—41no—
1170C22×C5—41no—
1171C22×C5—41no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5—41no—
1177C22×C5—41no—
1178C22×C5—41no—
1179C22×C5—41no—
1180C22×C5—41no—
1181C22×C5—41no—
1182C22×C5—41no—
1183C22×C5—41no—
1184C22×C5C23×D411yescharacteristic
1185C22×C5C22×#4111yescharacteristic
1186C22×C5C22×#4111yescharacteristic
1187C22×C5C2×H(5,𝔽2)11yescharacteristic
1188C22×C5C2×H(5,𝔽2)11yescharacteristic
1189C22×C5C2×2−1+411yescharacteristic
1190C22×C5#58511yescharacteristic
1191C2×D5—22no—
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—22no—
1197C2×D5—22no—
1198C2×D5—22no—
1199C2×D5—22no—
1200C2×D5—22no—
1201C2×D5—22no—
1202C2×D5—22no—
1203C2×D5—22no—
1204C2×D5—22no—
1205C2×D5—22no—
1206C2×D5—416no—
1207C2×D5—416no—
1208C2×D5—41no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5—41no—
1212C2×D5#52514yes—
1213C2×D5#53914yescomplemented
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—22no—
1217C4×C5—22no—
1218C4×C5—41no—
1219C4×C5—41no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224C4×C5—41no—
1225C4×C5—41no—
1226Dic5—22no—
1227Dic5—22no—
1228Dic5—22no—
1229Dic5—41no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5—41no—
1236Dic5—41no—
1237Dic5—41no—
1238Dic5—41no—
1239C24—51no—
1240C24—51no—
1241C24—51no—
1242C24—54no—
1243C24—102no—
1244C24—102no—
1245C24—102no—
1246C24—102no—
1247C24—102no—
1248C24—102no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—201no—
1253C24—201no—
1254C24—201no—
1255C24—201no—
1256C24C23×D511yescharacteristic
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—22no—
1260C2×Q8—41no—
1261C2×Q8—41no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—54no—
1272C2×D4—54no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—1032no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—102no—
1286C2×D4—102no—
1287C2×D4—102no—
1288C2×D4—201no—
1289C2×D4—201no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—51no—
1300C22×C4—51no—
1301C22×C4—51no—
1302C22×C4—54no—
1303C22×C4—54no—
1304C22×C4—51no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—102no—
1315C22×C4—102no—
1316C22×C4—102no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—201no—
1339C22×C4—201no—
1340C22×C4—201no—
1341C22×C4—201no—
1342C22×C4—201no—
1343C22×C4—201no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—201no—
1351C22×C4—201no—
1352C22×C4—201no—
1353C22×C4—2016no—
1354C22×C4—2016no—
1355C22×C4—201no—
1356C22×C4—201no—
1357C22×C4—201no—
1358C22×C4—201no—
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C22×C4C23×D511yescharacteristic
1369C22×C4C23×D511yescharacteristic
1370C22×C4C23×D511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—41no—
1376C4⋊C4—102no—
1377C4⋊C4—102no—
1378C4⋊C4—102no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—102no—
1388C4⋊C4—102no—
1389C4⋊C4—102no—
1390C4⋊C4—102no—
1391C4⋊C4—102no—
1392C4⋊C4—102no—
1393C4⋊C4—102no—
1394C4⋊C4—201no—
1395C4⋊C4—201no—
1396C4⋊C4—201no—
1397C4⋊C4—201no—
1398C4⋊C4—201no—
1399C4⋊C4—201no—
1400C4⋊C4—201no—
1401C4⋊C4—201no—
1402C4⋊C4—201no—
1403C4⋊C4—201no—
1404C4⋊C4D4×D514yes—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—54no—
1418C22⋊C4—54no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—102no—
1432C22⋊C4—102no—
1433C22⋊C4—102no—
1434C22⋊C4—102no—
1435C22⋊C4—102no—
1436C22⋊C4—102no—
1437C22⋊C4—102no—
1438C22⋊C4—102no—
1439C22⋊C4—102no—
1440C22⋊C4—102no—
1441C22⋊C4—102no—
1442C22⋊C4—102no—
1443C22⋊C4—201no—
1444C22⋊C4—201no—
1445C22⋊C4—201no—
1446C22⋊C4—201no—
1447C22⋊C4—201no—
1448C22⋊C4—201no—
1449C22⋊C4—201no—
1450C22⋊C4—201no—
1451C22⋊C4—201no—
1452C22⋊C4—201no—
1453C42—22no—
1454C42—41no—
1455C42—54no—
1456C42—102no—
1457C42—102no—
1458C42—102no—
1459C42—201no—
1460C2×C5—42no—
1461C2×C5—42no—
1462C2×C5—81no—
1463C2×C5C2×#52511yescharacteristic
1464C2×C5C2×#53911yescharacteristic
1465C2×C5#345911yescharacteristic
1466C2×C5#348411yescharacteristic
1467C2×C5#348911yescharacteristic
1468C2×C5#351311yescharacteristic
1469C2×C5#352011yescharacteristic
1470D5—24no—
1471D5—24no—
1472D5—42no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—52no—
1493C23—52no—
1494C23—52no—
1495C23—52no—
1496C23—52no—
1497C23—52no—
1498C23—52no—
1499C23—108no—
1500C23—108no—
1501C23—108no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—101no—
1513C23—101no—
1514C23—101no—
1515C23—101no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23—204no—
1525C23—204no—
1526C23—204no—
1527C23D5×#4112yes—
1528C23D5×#4112yes—
1529C23C24×D511yescharacteristic
1530Q8—82no—
1531D4—28no—
1532D4—44no—
1533D4—82no—
1534D4—108no—
1535D4—108no—
1536D4—108no—
1537D4—204no—
1538D4—204no—
1539D4—402no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—52no—
1575C2×C4—52no—
1576C2×C4—52no—
1577C2×C4—82no—
1578C2×C4—108no—
1579C2×C4—108no—
1580C2×C4—101no—
1581C2×C4—101no—
1582C2×C4—101no—
1583C2×C4—101no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—101no—
1609C2×C4—101no—
1610C2×C4—101no—
1611C2×C4—101no—
1612C2×C4—101no—
1613C2×C4—101no—
1614C2×C4—101no—
1615C2×C4—101no—
1616C2×C4—204no—
1617C2×C4—204no—
1618C2×C4—204no—
1619C2×C4—204no—
1620C2×C4—204no—
1621C2×C4—204no—
1622C2×C4—204no—
1623C2×C4—204no—
1624C2×C4—204no—
1625C2×C4—204no—
1626C2×C4—204no—
1627C2×C4—402no—
1628C2×C4—402no—
1629C2×C4C2×D4×D512yes—
1630C2×C4C2×D4×D512yes—
1631C2×C4C2×D4×D512yes—
1632C2×C4#414412yes—
1633C5#3499111yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—54no—
1656C22—54no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—102no—
1661C22—102no—
1662C22—102no—
1663C22—102no—
1664C22—102no—
1665C22—102no—
1666C22—102no—
1667C22—102no—
1668C22—102no—
1669C22—102no—
1670C22—102no—
1671C22—102no—
1672C22—2016no—
1673C22—2016no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22—201no—
1678C22C22×D4×D511yescharacteristic
1679C22C2×#414411yescharacteristic
1680C22C2×D5×#4111yescharacteristic
1681C22C2×D5×#4111yescharacteristic
1682C22#6628311yescharacteristic
1683C22D5×H(5,𝔽2)11yescharacteristic
1684C22D5×2−1+411yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—102no—
1698C4—102no—
1699C4—102no—
1700C4—201no—
1701C4—201no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4—201no—
1710C2—42no—
1711C2—42no—
1712C2—81no—
1713C2—104no—
1714C2—104no—
1715C2—202no—
1716C2D5×#52511yescharacteristic
1717C2#1061793711yescharacteristic
1718C2D5×#53911yescharacteristic
1719C2#1061852111yescharacteristic
1720C2#1061861511yescharacteristic
1721C2#1061862211yescharacteristic
1722C2#1061869711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2463C2
prime radical#10608486C2
hypercenter#2463D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2463

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#65972C2semidirect
2. C2×C4×D4×D5C2semidirect
3. C5×#2463C2semidirect
4. #10614565C2semidirect
5. #10614548C2semidirect
6. #10614548C2semidirect
7. #10614141C2semidirect
8. C4×#4083C2semidirect
9. #10614097C2semidirect
10. #10608841C2semidirect
11. #10608837C2semidirect
12. #10608709C2semidirect
13. #10608705C2semidirect
14. #10608596C2semidirect
15. #10608545C2semidirect
17. #10608435C2semidirect
18. #10607689C2semidirect
19. #10607579C2semidirect
20. #10607559C2semidirect
21. #10607272C2semidirect
22. #10607176C2semidirect
23. #10607046C2semidirect
24. #10606740C2semidirect
25. #10606676C2semidirect
26. #10606667C2semidirect
27. #10606626C2semidirect
28. #10606623C2semidirect
29. #10606608C2semidirect
30. D5×#385C2semidirect
31. #10606165C2semidirect
35. C2×C5×C22⋊Q8C22semidirect
36. C2×C5×C22⋊Q8C22semidirect
38. C2×C4×C5×D4C22semidirect
40. C2×#4092C22semidirect
41. C2×#4092C22semidirect
46. C2×#4075C22semidirect
50. C2×C4×C22⋊D5C22semidirect
53. C2×#4044C22semidirect
57. C2×D5×C4⋊C4C22semidirect
58. C2×D5×C4⋊C4C22semidirect
59. C2×#4035C22semidirect
60. C2×#4035C22semidirect
63. C2×#4029C22semidirect
64. C2×#4029C22semidirect
65. C2×#4029C22semidirect
72. C2×#4025C22semidirect
76. C5×#394C22semidirect
77. C5×#393C22semidirect
79. C5×#388C22semidirect
80. C5×#388C22semidirect
81. C5×#387C22semidirect
82. C5×#387C22semidirect
83. C5×#386C22semidirect
84. C5×#386C22semidirect
85. C5×#385C22semidirect
86. #65518C22semidirect
90. #65511C22semidirect
91. #65511C22semidirect
92. #65509C22semidirect
93. #65509C22semidirect
94. #65501C22semidirect
95. #65499C22semidirect
96. #65499C22semidirect
97. #65499C22semidirect
98. C4×C22⋊Dic5C22semidirect
103. #65278C22semidirect
104. #65278C22semidirect
105. #65278C22semidirect
106. #65278C22semidirect
108. #65276C22semidirect
109. #65272C22semidirect
110. #65272C22semidirect
111. #65270C22semidirect
112. #65270C22semidirect
113. #65261C22semidirect
114. #65261C22semidirect
117. #65250C22semidirect
125. #65245C22semidirect
126. #65245C22semidirect
131. #65242C22semidirect
132. #65241C22semidirect
133. #65241C22semidirect
134. #65240C22semidirect
135. #65239C22semidirect
136. #65239C22semidirect
137. #65238C22semidirect
138. #65238C22semidirect
139. #65238C22semidirect
140. #65237C22semidirect
141. #65237C22semidirect
142. #65237C22semidirect
143. #65237C22semidirect
144. #65235C22semidirect
145. #65235C22semidirect
146. #65235C22semidirect
147. #65235C22semidirect
148. #65234C22semidirect
149. #65234C22semidirect
150. #65233C22semidirect
151. #65229C22semidirect
153. C4×#685C22semidirect
154. #65222C22semidirect
155. #65222C22semidirect
156. #65217C22semidirect
157. #64964C22semidirect
158. #64964C22semidirect
159. #64964C22semidirect
160. #64958C22semidirect
167. #64957C22semidirect
168. #64957C22semidirect
171. #64956C22semidirect
174. #64953C22semidirect
175. #64953C22semidirect
176. #64953C22semidirect
177. D5×#95C22semidirect
178. D5×#95C22semidirect
179. #64950C22semidirect
180. #64950C22semidirect
181. #64948C22semidirect
182. #64944C22semidirect
183. #64943C22semidirect
184. #64943C22semidirect
185. #64942C22semidirect
186. #64940C22semidirect
187. #64939C22semidirect
188. #64936C22semidirect
336. #4039D4semidirect
405. #2463D5semidirect
661. C2×C22⋊Q8C2×D5semidirect
662. C2×C22⋊Q8C2×D5semidirect
678. C2×C4×D4C2×D5semidirect
715. #394C2×D5semidirect
716. #393C2×D5semidirect
729. #388C2×D5semidirect
730. #388C2×D5semidirect
739. #387C2×D5semidirect
740. #387C2×D5semidirect
753. #386C2×D5semidirect
754. #386C2×D5semidirect
780. #385C2×D5semidirect
1213. C2×D5#539semidirect
1633. C5#34991semidirect

Maximal subgroups

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

subgroupindex
C2×#659722
C2×C4×D4×D52
C5×#24632
#106145652
#106145482
#106141412
C4×#40832
#106140972
#106088412
#106088372
#106087092
#106087052
#106085962
#106085452
#106084862
#106084352
#106076892
#106075792
#106075592
#106072722
#106071762
#106070462
#106067402
#106066762
#106066672
#106066262
#106066232
#106066082
D5×#3852
#106061652
#349915