Finite Group Databasebeta

← C2×#10618914 #13006693

Subgroups — C2×#10618914 #13006693

Order 1280.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#556C211yesmaximal, characteristic, complemented
2#10618914C2132yesmaximal, direct product factor
3C2×#66069C211yesmaximal, characteristic, complemented
4C2×#66063C211yesmaximal, characteristic, complemented
5C2×#66042C211yesmaximal, characteristic, complemented
6C2×#66042C211yesmaximal, characteristic, complemented
7C2×#66039C211yesmaximal, characteristic, complemented
8C2×#66041C211yesmaximal, characteristic, complemented
9C2×D5×#126C211yesmaximal, characteristic, complemented
10C2×#66046C211yesmaximal, characteristic, complemented
11C2×#66044C211yesmaximal, characteristic, complemented
12C2×#66035C211yesmaximal, characteristic, complemented
13C2×#66013C211yesmaximal, characteristic, complemented
14C2×#66012C211yesmaximal, characteristic
15C2×#66006C211yesmaximal, characteristic, complemented
16C2×#66003C211yesmaximal, characteristic, complemented
17C2×#65968C211yesmaximal, characteristic, complemented
18C2×#65972C211yesmaximal, characteristic, complemented
19C2×#65980C211yesmaximal, characteristic, complemented
20C2×#65970C211yesmaximal, characteristic, complemented
21C2×#65913C211yesmaximal, characteristic, complemented
22C2×#65915C211yesmaximal, characteristic, complemented
23C2×#65917C211yesmaximal, characteristic, complemented
24C2×#65917C211yesmaximal, characteristic, complemented
25C2×#65912C211yesmaximal, characteristic, complemented
26C2×#65902C211yesmaximal, characteristic, complemented
27C2×#65890C211yesmaximal, characteristic, complemented
28C2×#65898C211yesmaximal, characteristic, complemented
29C2×#65861C211yesmaximal, characteristic, complemented
30C2×#65862C211yesmaximal, characteristic, complemented
31C2×#65865C211yesmaximal, characteristic, complemented
32C2×#65852C211yesmaximal, characteristic, complemented
33C5×#556C22116yescomplemented
34C2×C5×C4⋊Q8C2211yescharacteristic, complemented
35C2×C5×#126C2211yescharacteristic
36C2×C5×#126C2211yescharacteristic
37C2×C5×#126C2211yescharacteristic, complemented
38C2×C5×#126C2211yescharacteristic, complemented
39C2×C5×#124C2211yescharacteristic
40C2×C5×#124C2211yescharacteristic
41C2×C5×C22⋊Q8C2211yescharacteristic
42C2×C5×C22⋊Q8C2211yescharacteristic, complemented
43C2×C4×C5×Q8C2211yescharacteristic, complemented
44C2×C4×C5×Q8C2211yescharacteristic, complemented
45C2×C4×C5×Q8C2211yescharacteristic, complemented
46C2×C4×C5×D4C2211yescharacteristic
47C2×C5×#117C2211yescharacteristic
48C2×C5×#117C2211yescharacteristic, complemented
49C2×#4093C2211yescharacteristic
50C2×#4092C2211yescharacteristic
51C2×#4092C2211yescharacteristic
52C2×#4092C2211yescharacteristic
53C2×#4092C2211yescharacteristic
54C2×#4092C2211yescharacteristic
55C2×#4092C2211yescharacteristic, complemented
56C2×#4092C2211yescharacteristic, complemented
57C2×#4090C2211yescharacteristic, complemented
58C2×#4090C2211yescharacteristic, complemented
59C2×#4090C2211yescharacteristic, complemented
60C2×#4090C2211yescharacteristic, complemented
61C2×#4085C2211yescharacteristic
62C2×#4083C2211yescharacteristic
63C2×#4081C2211yescharacteristic
64C2×#4081C2211yescharacteristic
65C2×#4075C2211yescharacteristic
66C2×#4075C2211yescharacteristic
67C2×C4×C22⋊D5C2211yescharacteristic
68C2×C4×C22⋊D5C2211yescharacteristic, complemented
69C22×#685C2211yescharacteristic
70C2×#4070C2211yescharacteristic
71C2×#4070C2211yescharacteristic
72C22×#683C2211yescharacteristic, complemented
73#66069C22116yescomplemented
74#66063C22116yescomplemented
75#66046C22116yescomplemented
76#66044C22116yescomplemented
77#66042C22116yescomplemented
78#66042C22116yescomplemented
79#66041C22116yescomplemented
80#66039C22116yescomplemented
81D5×#126C22116yescomplemented
82#66035C22116yescomplemented
83#66013C22116yescomplemented
84#66012C22116yes—
85#66006C22116yescomplemented
86#66003C22116yescomplemented
87#65980C22116yescomplemented
88#65972C22116yescomplemented
89#65970C22116yescomplemented
90#65968C22116yescomplemented
91#65917C22116yescomplemented
92#65917C22116yescomplemented
93#65915C22116yescomplemented
94#65913C22116yescomplemented
95#65912C22116yescomplemented
96#65902C22116yescomplemented
97#65898C22116yescomplemented
98#65890C22116yescomplemented
99#65865C22116yescomplemented
100#65862C22116yescomplemented
101#65861C22116yescomplemented
102#65852C22116yescomplemented
103C2×#4044C2211yescharacteristic
104C2×#4044C2211yescharacteristic
105C2×#4044C2211yescharacteristic
106C2×#4044C2211yescharacteristic
107C2×#4044C2211yescharacteristic
108C2×#4044C2211yescharacteristic, complemented
109C2×#4044C2211yescharacteristic, complemented
110C2×#4043C2211yescharacteristic
111C2×#4043C2211yescharacteristic
112C2×#4043C2211yescharacteristic
113C2×#4042C2211yescharacteristic
114C2×#4042C2211yescharacteristic
115C2×#4042C2211yescharacteristic
116C2×#4042C2211yescharacteristic
117C2×#4042C2211yescharacteristic
118C2×#4042C2211yescharacteristic
119C2×#4042C2211yescharacteristic
120C2×#4042C2211yescharacteristic, complemented
121C2×#4042C2211yescharacteristic, complemented
122C2×#4042C2211yescharacteristic, complemented
123C2×#4040C2211yescharacteristic
124C2×#4040C2211yescharacteristic
125C2×#4040C2211yescharacteristic
126C2×#4040C2211yescharacteristic
127C2×#4039C2211yescharacteristic
128C2×#4038C2211yescharacteristic
129C2×#4038C2211yescharacteristic, complemented
130C2×D5×C4⋊C4C2211yescharacteristic
131C2×D5×C4⋊C4C2211yescharacteristic
132C2×D5×C4⋊C4C2211yescharacteristic
133C2×D5×C4⋊C4C2211yescharacteristic, complemented
134C2×#4036C2211yescharacteristic, complemented
135C2×#4036C2211yescharacteristic, complemented
136C2×#4036C2211yescharacteristic, complemented
137C2×#4035C2211yescharacteristic, complemented
138C2×#4035C2211yescharacteristic, complemented
139C2×#4035C2211yescharacteristic, complemented
140C2×#4035C2211yescharacteristic, complemented
141C2×#4035C2211yescharacteristic, complemented
142C2×#4035C2211yescharacteristic, complemented
143C2×#4035C2211yescharacteristic, complemented
144C2×#4035C2211yescharacteristic, complemented
145C2×#4035C2211yescharacteristic, complemented
146C2×#4035C2211yescharacteristic, complemented
147C2×#4035C2211yescharacteristic, complemented
148C2×#4034C2211yescharacteristic, complemented
149C2×#4034C2211yescharacteristic, complemented
150C2×#4033C2211yescharacteristic, complemented
151C2×#4032C2211yescharacteristic
152C2×#4032C2211yescharacteristic, complemented
153C2×#4031C2211yescharacteristic
154C2×#4031C2211yescharacteristic
155C2×#4031C2211yescharacteristic, complemented
156C2×#4030C2211yescharacteristic
157C2×#4030C2211yescharacteristic
158C2×#4029C2211yescharacteristic
159C2×#4029C2211yescharacteristic
160C2×#4029C2211yescharacteristic
161C2×#4029C2211yescharacteristic
162C2×#4029C2211yescharacteristic
163C2×#4029C2211yescharacteristic, complemented
164C2×#4028C2211yescharacteristic
165C2×#4027C2211yescharacteristic
166C2×#4027C2211yescharacteristic
167C2×#4027C2211yescharacteristic
168C2×#4027C2211yescharacteristic
169C2×D5×C22⋊C4C2211yescharacteristic
170C2×D5×C22⋊C4C2211yescharacteristic
171C2×D5×C22⋊C4C2211yescharacteristic
172C2×D5×C22⋊C4C2211yescharacteristic
173C2×#4025C2211yescharacteristic
174C2×#4025C2211yescharacteristic
175C2×#4025C2211yescharacteristic
176C2×#4025C2211yescharacteristic
177C2×#4025C2211yescharacteristic
178C2×#4025C2211yescharacteristic
179C2×#4025C2211yescharacteristic
180C2×#4025C2211yescharacteristic, complemented
181C2×#4025C2211yescharacteristic, complemented
182C2×#4024C2211yescharacteristic
183C2×#4024C2211yescharacteristic
184C2×#4024C2211yescharacteristic
185C2×#4024C2211yescharacteristic, complemented
186C2×#4024C2211yescharacteristic, complemented
187C2×#4024C2211yescharacteristic, complemented
188C2×#4024C2211yescharacteristic, complemented
189C2×#4023C2211yescharacteristic
190C2×#4023C2211yescharacteristic, complemented
191C2×#4022C2211yescharacteristic
192C2×#4022C2211yescharacteristic
193C2×#4022C2211yescharacteristic
194C2×#4022C2211yescharacteristic
195C2×#4022C2211yescharacteristic, complemented
196C2×#4022C2211yescharacteristic, complemented
197C2×#4021C2211yescharacteristic
198C2×C4×D20C2211yescharacteristic
199C2×C4×D20C2211yescharacteristic
200C2×C4×D20C2211yescharacteristic
201C2×#4018C2211yescharacteristic
202C2×#4018C2211yescharacteristic
203C2×#4018C2211yescharacteristic
204C2×#4018C2211yescharacteristic
205C2×#4018C2211yescharacteristic
206C2×#4018C2211yescharacteristic, complemented
207C2×C42×D5C2211yescharacteristic
208C2×#4016C2211yescharacteristic, complemented
209C2×#4016C2211yescharacteristic, complemented
210C2×#4016C2211yescharacteristic, complemented
211C2×#4016C2211yescharacteristic, complemented
212C2×#4016C2211yescharacteristic, complemented
213C2×#4015C2211yescharacteristic, complemented
214C2×C4×Dic10C2211yescharacteristic, complemented
215C2×C4×Dic10C2211yescharacteristic, complemented
216C2×C4×Dic10C2211yescharacteristic, complemented
217C2×C4×Dic10C2211yescharacteristic, complemented
218C2×C4×Dic10C2211yescharacteristic, complemented
219C2×#3564—51nomaximal, Sylow
220C24×D5C2311yescharacteristic
221C22×C5×Q8C2311yescharacteristic
222C22×C5×Q8C2311yescharacteristic
223C22×C5×Q8C2311yescharacteristic
224C22×C5×D4C2311yescharacteristic
225C23×C4×C5C2311yescharacteristic
226C23×C4×C5C2311yescharacteristic
227C22×C22⋊D5C2311yescharacteristic
228C22×C22⋊D5C2311yescharacteristic
229C22×C22⋊D5C2311yescharacteristic
230C22×C22⋊D5C2311yescharacteristic
231C23×Dic5C2311yescharacteristic
232C23×Dic5C2311yescharacteristic
233C23×Dic5C2311yescharacteristic
234C22×D20C2311yescharacteristic
235C22×D20C2311yescharacteristic
236C22×C4×D5C2311yescharacteristic
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2311yescharacteristic
239C22×C4×D5C2311yescharacteristic
240C22×C4×D5C2311yescharacteristic
241C22×C4×D5C2311yescharacteristic
242C22×C4×D5C2311yescharacteristic
243C22×C4×D5C2311yescharacteristic
244C22×C4×D5C2311yescharacteristic
245C22×C4×D5C2311yescharacteristic
246C22×C4×D5C2311yescharacteristic
247C22×Dic10C2311yescharacteristic
248C22×Dic10C2311yescharacteristic
249C22×Dic10C2311yescharacteristic
250C22×Dic10C2311yescharacteristic
251C22×Dic10C2311yescharacteristic
252C22×Dic10C2311yescharacteristic
253C5×C4⋊Q8C2318yescomplemented
254C5×#126C2318yes—
255C5×#126C2318yes—
256C5×#126C2318yescomplemented
257C5×#126C2318yescomplemented
258C5×#124C2318yes—
259C5×#124C2318yes—
260C5×C22⋊Q8C2318yes—
261C5×C22⋊Q8C2318yescomplemented
262C4×C5×Q8C2318yescomplemented
263C4×C5×Q8C2318yescomplemented
264C4×C5×Q8C2318yescomplemented
265C4×C5×D4C2318yes—
266C5×#117C2318yes—
267C5×#117C2318yescomplemented
268C2×C5×C4⋊C4C2311yescharacteristic
269C2×C5×C4⋊C4C2311yescharacteristic
270C2×C5×C4⋊C4C2311yescharacteristic
271C2×C5×C4⋊C4C2311yescharacteristic
272C2×C5×C4⋊C4C2311yescharacteristic
273C2×C5×C4⋊C4C2311yescharacteristic
274C2×C5×C4⋊C4C2311yescharacteristic
275C2×C5×C4⋊C4C2311yescharacteristic
276C2×C5×C4⋊C4C2311yescharacteristic
277C2×C5×C4⋊C4C2311yescharacteristic
278C2×C5×C4⋊C4C2311yescharacteristic
279C2×C5×C4⋊C4C2311yescharacteristic
280C2×C5×C22⋊C4C2311yescharacteristic
281C2×C5×C22⋊C4C2311yescharacteristic
282C2×C5×C22⋊C4C2311yescharacteristic
283C2×C5×C22⋊C4C2311yescharacteristic
284C2×C5×C22⋊C4C2311yescharacteristic
285C2×C5×C22⋊C4C2311yescharacteristic
286C2×C5×C22⋊C4C2311yescharacteristic
287C2×C5×C22⋊C4C2311yescharacteristic
288C2×C5×C22⋊C4C2311yescharacteristic
289C2×C5×C22⋊C4C2311yescharacteristic
290C2×C42×C5C2311yescharacteristic
291C2×C42×C5C2311yescharacteristic
292C2×C42×C5C2311yescharacteristic
293C2×C42×C5C2311yescharacteristic
294C2×C42×C5C2311yescharacteristic
295C2×C42×C5C2311yescharacteristic
296C2×C42×C5C2311yescharacteristic
297C2×C22⋊Dic5C2311yescharacteristic
298C2×C22⋊Dic5C2311yescharacteristic
299C2×C22⋊Dic5C2311yescharacteristic
300C2×C22⋊Dic5C2311yescharacteristic
301C2×C22⋊Dic5C2311yescharacteristic
302C2×C22⋊Dic5C2311yescharacteristic
303C2×C22⋊Dic5C2311yescharacteristic
304C2×C22⋊Dic5C2311yescharacteristic
305#4093C2318yes—
306#4092C2318yes—
307#4092C2318yes—
308#4092C2318yes—
309#4092C2318yes—
310#4092C2318yes—
311#4092C2318yescomplemented
312#4092C2318yescomplemented
313#4090C2318yescomplemented
314#4090C2318yescomplemented
315#4090C2318yescomplemented
316#4090C2318yescomplemented
317#4085C2318yes—
318#4083C2318yes—
319#4081C2318yes—
320#4081C2318yes—
321#4075C2318yes—
322#4075C2318yes—
323C4×C22⋊D5C2318yes—
324C4×C22⋊D5C2318yescomplemented
325C2×#685C2311yescharacteristic
326C2×#685C2311yescharacteristic
327C2×#685C2311yescharacteristic
328C2×#685C2311yescharacteristic
329C2×#685C2311yescharacteristic
330C2×#685C2311yescharacteristic
331C2×#685C2311yescharacteristic
332C2×#685C2311yescharacteristic
333C2×#685C2311yescharacteristic
334C2×#685C2311yescharacteristic
335C2×#685C2311yescharacteristic
336C2×#685C2311yescharacteristic
337C2×#685C2311yescharacteristic
338C2×#685C2311yescharacteristic
339C2×#685C2311yescharacteristic
340C2×#685C2311yescharacteristic
341C2×#685C2311yescharacteristic
342C2×#685C2311yescharacteristic
343C2×#685C2311yescharacteristic
344C2×#685C2311yescharacteristic
345C2×#685C2311yescharacteristic
346C2×#685C2311yescharacteristic
347C2×#685C2311yescharacteristic
348C2×#685C2311yescharacteristic
349C2×#685C2318yes—
350C2×C4⋊Dic5C2311yescharacteristic
351C2×C4⋊Dic5C2311yescharacteristic
352C2×C4⋊Dic5C2311yescharacteristic
353C2×C4⋊Dic5C2311yescharacteristic
354C2×C4⋊Dic5C2311yescharacteristic
355C2×C4⋊Dic5C2311yescharacteristic
356C2×C4⋊Dic5C2311yescharacteristic
357C2×C4⋊Dic5C2311yescharacteristic
358C2×C4⋊Dic5C2311yescharacteristic
359C2×C4⋊Dic5C2311yescharacteristic
360C2×C4⋊Dic5C2311yescharacteristic
361C2×C4⋊Dic5C2311yescharacteristic
362C2×C4⋊Dic5C2311yescharacteristic
363C2×C4⋊Dic5C2311yescharacteristic
364#4070C2318yes—
365#4070C2318yes—
366C2×#683C2311yescharacteristic
367C2×#683C2311yescharacteristic
368C2×#683C2311yescharacteristic
369C2×#683C2311yescharacteristic
370C2×#683C2311yescharacteristic
371C2×#683C2311yescharacteristic
372C2×#683C2311yescharacteristic
373C2×#683C2311yescharacteristic
374C2×#683C2311yescharacteristic
375C2×#683C2311yescharacteristic
376C2×#683C2311yescharacteristic
377C2×#683C2311yescharacteristic
378C2×#683C2311yescharacteristic
379C2×#683C2311yescharacteristic
380C2×#683C2311yescharacteristic
381C2×#683C2311yescharacteristic
382C2×#683C2311yescharacteristic
383C2×#683C2311yescharacteristic
384C2×#683C2311yescharacteristic
385C2×#683C2311yescharacteristic
386C2×#683C2311yescharacteristic
387C2×#683C2311yescharacteristic
388C2×#683C2311yescharacteristic
389C2×#683C2311yescharacteristic
390C2×#683C2311yescharacteristic
391C2×#683C2311yescharacteristic
392C2×#683C2311yescharacteristic
393C2×#683C2311yescharacteristic
394C2×#683C2311yescharacteristic
395C2×#683C2311yescharacteristic
396C2×#683C2311yescharacteristic
397C2×#683C2311yescharacteristic
398C2×#683C2311yescharacteristic
399C2×#683C2311yescharacteristic
400C2×#683C2311yescharacteristic
401C2×#683C2311yescharacteristic
402C2×#683C2318yescomplemented
403C2×C4×Dic5C2311yescharacteristic
404C2×C4×Dic5C2311yescharacteristic
405C2×C4×Dic5C2311yescharacteristic
406C2×C4×Dic5C2311yescharacteristic
407C2×C4×Dic5C2311yescharacteristic
408C2×C4×Dic5C2311yescharacteristic
409C2×C4×Dic5C2311yescharacteristic
410C2×C4×Dic5C2311yescharacteristic
411C2×C4×Dic5C2311yescharacteristic
412C2×C4×Dic5C2311yescharacteristic
413C2×C4×Dic5C2311yescharacteristic
414#4044C2318yes—
415#4044C2318yes—
416#4044C2318yes—
417#4044C2318yes—
418#4044C2318yes—
419#4044C2318yescomplemented
420#4044C2318yescomplemented
421#4043C2318yes—
422#4043C2318yes—
423#4043C2318yes—
424#4042C2318yes—
425#4042C2318yes—
426#4042C2318yes—
427#4042C2318yes—
428#4042C2318yes—
429#4042C2318yes—
430#4042C2318yes—
431#4042C2318yescomplemented
432#4042C2318yescomplemented
433#4042C2318yescomplemented
434#4040C2318yes—
435#4040C2318yes—
436#4040C2318yes—
437#4040C2318yes—
438#4039C2318yes—
439#4038C2318yes—
440#4038C2318yescomplemented
441D5×C4⋊C4C2318yes—
442D5×C4⋊C4C2318yes—
443D5×C4⋊C4C2318yes—
444D5×C4⋊C4C2318yescomplemented
445#4036C2318yescomplemented
446#4036C2318yescomplemented
447#4036C2318yescomplemented
448#4035C2318yescomplemented
449#4035C2318yescomplemented
450#4035C2318yescomplemented
451#4035C2318yescomplemented
452#4035C2318yescomplemented
453#4035C2318yescomplemented
454#4035C2318yescomplemented
455#4035C2318yescomplemented
456#4035C2318yescomplemented
457#4035C2318yescomplemented
458#4035C2318yescomplemented
459#4034C2318yescomplemented
460#4034C2318yescomplemented
461#4033C2318yescomplemented
462#4032C2318yes—
463#4032C2318yescomplemented
464#4031C2318yes—
465#4031C2318yes—
466#4031C2318yescomplemented
467#4030C2318yes—
468#4030C2318yes—
469#4029C2318yes—
470#4029C2318yes—
471#4029C2318yes—
472#4029C2318yes—
473#4029C2318yes—
474#4029C2318yescomplemented
475#4028C2318yes—
476#4027C2318yes—
477#4027C2318yes—
478#4027C2318yes—
479#4027C2318yes—
480D5×C22⋊C4C2318yes—
481D5×C22⋊C4C2318yes—
482D5×C22⋊C4C2318yes—
483D5×C22⋊C4C2318yes—
484#4025C2318yes—
485#4025C2318yes—
486#4025C2318yes—
487#4025C2318yes—
488#4025C2318yes—
489#4025C2318yes—
490#4025C2318yes—
491#4025C2318yescomplemented
492#4025C2318yescomplemented
493#4024C2318yes—
494#4024C2318yes—
495#4024C2318yes—
496#4024C2318yescomplemented
497#4024C2318yescomplemented
498#4024C2318yescomplemented
499#4024C2318yescomplemented
500#4023C2318yes—
501#4023C2318yescomplemented
502#4022C2318yes—
503#4022C2318yes—
504#4022C2318yes—
505#4022C2318yes—
506#4022C2318yescomplemented
507#4022C2318yescomplemented
508#4021C2318yes—
509C4×D20C2318yes—
510C4×D20C2318yes—
511C4×D20C2318yes—
512#4018C2318yes—
513#4018C2318yes—
514#4018C2318yes—
515#4018C2318yes—
516#4018C2318yes—
517#4018C2318yescomplemented
518C42×D5C2318yes—
519#4016C2318yescomplemented
520#4016C2318yescomplemented
521#4016C2318yescomplemented
522#4016C2318yescomplemented
523#4016C2318yescomplemented
524#4015C2318yescomplemented
525C4×Dic10C2318yescomplemented
526C4×Dic10C2318yescomplemented
527C4×Dic10C2318yescomplemented
528C4×Dic10C2318yescomplemented
529C4×Dic10C2318yescomplemented
530#3564—532no—
531C2×#563—51no—
532C2×#563—51no—
533C2×#563—51no—
534C2×#563—51no—
535C2×#556—51no—
536C2×#556D511yescharacteristic, complemented
537C2×#554—51no—
538C2×#554—51no—
539C2×#552—51no—
540C2×#552—51no—
541C2×#552—51no—
542C2×#552—51no—
543C2×#551—51no—
544C2×#551—51no—
545C2×#551—51no—
546C2×#551—51no—
547C2×#544—51no—
548C2×#543—51no—
549C2×#542—51no—
550C2×#542—51no—
551C2×#541—51no—
552C2×#541—51no—
553C2×#541—51no—
554C2×#541—51no—
555C2×#539—51no—
556C2×#539—51no—
557C2×#539—51no—
558C2×#538—51no—
559C2×#533—51no—
560C2×#529—51no—
561C22×#126—51no—
562C24×C5C2411yescharacteristic
563C24×C5C2411yescharacteristic
564C23×D5—24no—
565C23×D5—42no—
566C23×D5—42no—
567C23×D5C2411yescharacteristic
568C23×D5C2411yescharacteristic
569C23×D5C2411yescharacteristic
570C23×D5C2414yes—
571C2×C5×Q8—42no—
572C2×C5×Q8—42no—
573C2×C5×Q8—42no—
574C2×C5×Q8C2414yes—
575C2×C5×Q8C2414yes—
576C2×C5×Q8C2414yes—
577C2×C5×D4—42no—
578C2×C5×D4C2414yes—
579C22×C4×C5—42no—
580C22×C4×C5—42no—
581C22×C4×C5C2411yescharacteristic
582C22×C4×C5C2411yescharacteristic
583C22×C4×C5C2411yescharacteristic
584C22×C4×C5C2411yescharacteristic
585C22×C4×C5C2411yescharacteristic
586C22×C4×C5C2411yescharacteristic
587C22×C4×C5C2411yescharacteristic
588C22×C4×C5C2411yescharacteristic
589C22×C4×C5C2411yescharacteristic
590C22×C4×C5C2411yescharacteristic
591C22×C4×C5C2411yescharacteristic
592C22×C4×C5C2411yescharacteristic
593C22×C4×C5C2411yescharacteristic
594C22×C4×C5C2414yes—
595C22×C4×C5C2414yes—
596C2×C22⋊D5—24no—
597C2×C22⋊D5—42no—
598C2×C22⋊D5—42no—
599C2×C22⋊D5—42no—
600C2×C22⋊D5C2414yes—
601C2×C22⋊D5C2414yes—
602C2×C22⋊D5C2414yes—
603C2×C22⋊D5C2414yes—
604C22×Dic5—42no—
605C22×Dic5—42no—
606C22×Dic5—42no—
607C22×Dic5C2411yescharacteristic
608C22×Dic5C2411yescharacteristic
609C22×Dic5C2411yescharacteristic
610C22×Dic5C2411yescharacteristic
611C22×Dic5C2411yescharacteristic
612C22×Dic5C2411yescharacteristic
613C22×Dic5C2411yescharacteristic
614C22×Dic5C2411yescharacteristic
615C22×Dic5C2411yescharacteristic
616C22×Dic5C2411yescharacteristic
617C22×Dic5C2411yescharacteristic
618C22×Dic5C2411yescharacteristic
619C22×Dic5C2411yescharacteristic
620C22×Dic5C2414yes—
621C22×Dic5C2414yes—
622C22×Dic5C2414yes—
623C2×D20—24no—
624C2×D20—42no—
625C2×D20C2414yes—
626C2×D20C2414yes—
627C2×C4×D5—24no—
628C2×C4×D5—24no—
629C2×C4×D5—42no—
630C2×C4×D5—42no—
631C2×C4×D5—42no—
632C2×C4×D5—42no—
633C2×C4×D5—42no—
634C2×C4×D5—42no—
635C2×C4×D5—42no—
636C2×C4×D5—42no—
637C2×C4×D5—42no—
638C2×C4×D5C2414yes—
639C2×C4×D5C2414yes—
640C2×C4×D5C2414yes—
641C2×C4×D5C2414yes—
642C2×C4×D5C2414yes—
643C2×C4×D5C2414yes—
644C2×C4×D5C2414yes—
645C2×C4×D5C2414yes—
646C2×C4×D5C2414yes—
647C2×C4×D5C2414yes—
648C2×C4×D5C2414yes—
649C2×Dic10—42no—
650C2×Dic10—42no—
651C2×Dic10—42no—
652C2×Dic10—42no—
653C2×Dic10—42no—
654C2×Dic10—42no—
655C2×Dic10C2414yes—
656C2×Dic10C2414yes—
657C2×Dic10C2414yes—
658C2×Dic10C2414yes—
659C2×Dic10C2414yes—
660C2×Dic10C2414yes—
661C5×C4⋊C4C2414yes—
662C5×C4⋊C4C2414yes—
663C5×C4⋊C4C2414yes—
664C5×C4⋊C4C2414yes—
665C5×C4⋊C4C2414yes—
666C5×C4⋊C4C2414yes—
667C5×C4⋊C4C2414yes—
668C5×C4⋊C4C2414yes—
669C5×C4⋊C4C2414yes—
670C5×C4⋊C4C2414yes—
671C5×C4⋊C4C2414yes—
672C5×C4⋊C4C2414yes—
673C5×C22⋊C4C2414yes—
674C5×C22⋊C4C2414yes—
675C5×C22⋊C4C2414yes—
676C5×C22⋊C4C2414yes—
677C5×C22⋊C4C2414yes—
678C5×C22⋊C4C2414yes—
679C5×C22⋊C4C2414yes—
680C5×C22⋊C4C2414yes—
681C5×C22⋊C4C2414yes—
682C5×C22⋊C4C2414yes—
683C42×C5C2414yes—
684C42×C5C2414yes—
685C42×C5C2414yes—
686C42×C5C2414yes—
687C42×C5C2414yes—
688C42×C5C2414yes—
689C42×C5C2414yes—
690C22⋊Dic5C2414yes—
691C22⋊Dic5C2414yes—
692C22⋊Dic5C2414yes—
693C22⋊Dic5C2414yes—
694C22⋊Dic5C2414yes—
695C22⋊Dic5C2414yes—
696C22⋊Dic5C2414yes—
697C22⋊Dic5C2414yes—
698#685C2414yes—
699#685C2414yes—
700#685C2414yes—
701#685C2414yes—
702#685C2414yes—
703#685C2414yes—
704#685C2414yes—
705#685C2414yes—
706#685C2414yes—
707#685C2414yes—
708#685C2414yes—
709#685C2414yes—
710#685C2414yes—
711#685C2414yes—
712#685C2414yes—
713#685C2414yes—
714#685C2414yes—
715#685C2414yes—
716#685C2414yes—
717#685C2414yes—
718#685C2414yes—
719#685C2414yes—
720#685C2414yes—
721#685C2414yes—
722C4⋊Dic5C2414yes—
723C4⋊Dic5C2414yes—
724C4⋊Dic5C2414yes—
725C4⋊Dic5C2414yes—
726C4⋊Dic5C2414yes—
727C4⋊Dic5C2414yes—
728C4⋊Dic5C2414yes—
729C4⋊Dic5C2414yes—
730C4⋊Dic5C2414yes—
731C4⋊Dic5C2414yes—
732C4⋊Dic5C2414yes—
733C4⋊Dic5C2414yes—
734C4⋊Dic5C2414yes—
735C4⋊Dic5C2414yes—
736#683C2414yes—
737#683C2414yes—
738#683C2414yes—
739#683C2414yes—
740#683C2414yes—
741#683C2414yes—
742#683C2414yes—
743#683C2414yes—
744#683C2414yes—
745#683C2414yes—
746#683C2414yes—
747#683C2414yes—
748#683C2414yes—
749#683C2414yes—
750#683C2414yes—
751#683C2414yes—
752#683C2414yes—
753#683C2414yes—
754#683C2414yes—
755#683C2414yes—
756#683C2414yes—
757#683C2414yes—
758#683C2414yes—
759#683C2414yes—
760#683C2414yes—
761#683C2414yes—
762#683C2414yes—
763#683C2414yes—
764#683C2414yes—
765#683C2414yes—
766#683C2414yes—
767#683C2414yes—
768#683C2414yes—
769#683C2414yes—
770#683C2414yes—
771#683C2414yes—
772C4×Dic5C2414yes—
773C4×Dic5C2414yes—
774C4×Dic5C2414yes—
775C4×Dic5C2414yes—
776C4×Dic5C2414yes—
777C4×Dic5C2414yes—
778C4×Dic5C2414yes—
779C4×Dic5C2414yes—
780C4×Dic5C2414yes—
781C4×Dic5C2414yes—
782C4×Dic5C2414yes—
783#563—516no—
784#563—516no—
785#563—516no—
786#563—516no—
787#556—516no—
788#556C2×D5116yescomplemented
789#554—516no—
790#554—516no—
791#552—516no—
792#552—516no—
793#552—516no—
794#552—516no—
795#551—516no—
796#551—516no—
797#551—516no—
798#551—516no—
799#544—516no—
800#543—516no—
801#542—516no—
802#542—516no—
803#541—516no—
804#541—516no—
805#541—516no—
806#541—516no—
807#539—516no—
808#539—516no—
809#539—516no—
810#538—516no—
811#533—516no—
812C2×C4⋊Q8—51no—
813C2×C4⋊Q8—51no—
814C2×C4⋊Q8—51no—
815C2×C4⋊Q8—51no—
816C2×C4⋊Q8—51no—
817C2×C4⋊Q8—51no—
818C2×C4⋊Q8—51no—
819C2×C4⋊Q8C2×D511yescharacteristic, complemented
820#529—516no—
821C2×#126—516no—
822C2×#126—51no—
823C2×#126—51no—
824C2×#126—51no—
825C2×#126—51no—
826C2×#126—51no—
827C2×#126—51no—
828C2×#126—51no—
829C2×#126—51no—
830C2×#126—51no—
831C2×#126—51no—
832C2×#126—51no—
833C2×#126—51no—
834C2×#126—51no—
835C2×#126—51no—
836C2×#126—51no—
837C2×#126—51no—
838C2×#126—51no—
839C2×#126—51no—
840C2×#126—51no—
841C2×#126—51no—
842C2×#126—51no—
843C2×#126—51no—
844C2×#126C2×D511yescharacteristic
845C2×#126C2×D511yescharacteristic
846C2×#126C2×D511yescharacteristic, complemented
847C2×#126C2×D511yescharacteristic, complemented
848C2×#125—51no—
849C2×#125—51no—
850C2×#125—51no—
851C2×#125—51no—
852C2×#125—51no—
853C2×#125—51no—
854C2×#125—51no—
855C2×#125—51no—
856C2×#125—51no—
857C2×#125—51no—
858C2×#125—51no—
859C2×#125—51no—
860C2×#125—51no—
861C2×#125—51no—
862C2×#125—51no—
863C2×#125—51no—
864C2×#125—51no—
865C2×#125—51no—
866C2×#125—51no—
867C2×#124—51no—
868C2×#124—51no—
869C2×#124—51no—
870C2×#124—51no—
871C2×#124—51no—
872C2×#124C2×D511yescharacteristic
873C2×#124C2×D511yescharacteristic
874C2×#123—51no—
875C2×#123—51no—
876C2×#123—51no—
877C2×#123—51no—
878C2×#123—51no—
879C2×#123—51no—
880C2×#123—51no—
881C2×#123—51no—
882C2×#123—51no—
883C2×#123—51no—
884C2×#123—51no—
885C2×#123—51no—
886C2×#123—51no—
887C2×#123—51no—
888C2×#123—51no—
889C2×#123—51no—
890C2×C22⋊Q8—51no—
891C2×C22⋊Q8—51no—
892C2×C22⋊Q8—51no—
893C2×C22⋊Q8—51no—
894C2×C22⋊Q8—51no—
895C2×C22⋊Q8—51no—
896C2×C22⋊Q8—51no—
897C2×C22⋊Q8—51no—
898C2×C22⋊Q8—51no—
899C2×C22⋊Q8—51no—
900C2×C22⋊Q8—51no—
901C2×C22⋊Q8—51no—
902C2×C22⋊Q8—51no—
903C2×C22⋊Q8—51no—
904C2×C22⋊Q8—51no—
905C2×C22⋊Q8—51no—
906C2×C22⋊Q8—51no—
907C2×C22⋊Q8—51no—
908C2×C22⋊Q8—51no—
909C2×C22⋊Q8—51no—
910C2×C22⋊Q8—51no—
911C2×C22⋊Q8—51no—
912C2×C22⋊Q8—51no—
913C2×C22⋊Q8—51no—
914C2×C22⋊Q8—51no—
915C2×C22⋊Q8—51no—
916C2×C22⋊Q8—51no—
917C2×C22⋊Q8—51no—
918C2×C22⋊Q8—51no—
919C2×C22⋊Q8C2×D511yescharacteristic
920C2×C22⋊Q8C2×D511yescharacteristic, complemented
921C2×#121—51no—
922C2×#121—51no—
923C2×#121—51no—
924C2×#120—51no—
925C2×#120—51no—
926C2×C4×Q8—51no—
927C2×C4×Q8—51no—
928C2×C4×Q8—51no—
929C2×C4×Q8—51no—
930C2×C4×Q8—51no—
931C2×C4×Q8—51no—
932C2×C4×Q8C2×D511yescharacteristic, complemented
933C2×C4×Q8C2×D511yescharacteristic, complemented
934C2×C4×Q8C2×D511yescharacteristic, complemented
935C2×C4×D4—51no—
936C2×C4×D4—51no—
937C2×C4×D4—51no—
938C2×C4×D4—51no—
939C2×C4×D4—51no—
940C2×C4×D4—51no—
941C2×C4×D4—51no—
942C2×C4×D4—51no—
943C2×C4×D4—51no—
944C2×C4×D4—51no—
945C2×C4×D4C2×D511yescharacteristic
946C2×#117—51no—
947C2×#117—51no—
948C2×#117—51no—
949C2×#117—51no—
950C2×#117—51no—
951C2×#117—51no—
952C2×#117—51no—
953C2×#117—51no—
954C2×#117—51no—
955C2×#117—51no—
956C2×#117C2×D511yescharacteristic
957C2×#117C2×D511yescharacteristic, complemented
958C22×C4⋊C4—51no—
959C22×C4⋊C4—51no—
960C22×C4⋊C4—51no—
961C22×C4⋊C4—51no—
962C22×C4⋊C4—51no—
963C22×C22⋊C4—51no—
964C22×C22⋊C4—51no—
965C22×C22⋊C4—51no—
966C22×C22⋊C4—51no—
967C22×C22⋊C4—51no—
968C22×C42—51no—
969C23×C5—22no—
970C23×C5—22no—
971C23×C5—22no—
972C23×C5—22no—
973C23×C5—22no—
974C23×C5—22no—
975C23×C5C2512yes—
976C23×C5C2512yes—
977C23×C5C2511yescharacteristic
978C22×D5—22no—
979C22×D5—22no—
980C22×D5—22no—
981C22×D5—22no—
982C22×D5—22no—
983C22×D5—22no—
984C22×D5—22no—
985C22×D5—22no—
986C22×D5—28no—
987C22×D5—44no—
988C22×D5—44no—
989C22×D5—88no—
990C22×D52−1+414yes—
991C22×D5C2512yes—
992C22×D5C2512yes—
993C22×D5C2512yes—
994C5×Q8—44no—
995C5×Q8—44no—
996C5×Q8—44no—
997C5×D4—44no—
998C2×C4×C5—22no—
999C2×C4×C5—22no—
1000C2×C4×C5—22no—
1001C2×C4×C5—22no—
1002C2×C4×C5—22no—
1003C2×C4×C5—22no—
1004C2×C4×C5—22no—
1005C2×C4×C5—22no—
1006C2×C4×C5—22no—
1007C2×C4×C5—22no—
1008C2×C4×C5—22no—
1009C2×C4×C5—22no—
1010C2×C4×C5—22no—
1011C2×C4×C5—44no—
1012C2×C4×C5—44no—
1013C2×C4×C5C2512yes—
1014C2×C4×C5C2512yes—
1015C2×C4×C5C2512yes—
1016C2×C4×C5C2512yes—
1017C2×C4×C5C2512yes—
1018C2×C4×C5C2512yes—
1019C2×C4×C5C2512yes—
1020C2×C4×C5C2512yes—
1021C2×C4×C5C2512yes—
1022C2×C4×C5C2512yes—
1023C2×C4×C5C2512yes—
1024C2×C4×C5C2512yes—
1025C2×C4×C5C2512yes—
1026C22⋊D5—28no—
1027C22⋊D5—44no—
1028C22⋊D5—44no—
1029C22⋊D5—44no—
1030C2×Dic5—22no—
1031C2×Dic5—22no—
1032C2×Dic5—22no—
1033C2×Dic5—22no—
1034C2×Dic5—22no—
1035C2×Dic5—22no—
1036C2×Dic5—22no—
1037C2×Dic5—22no—
1038C2×Dic5—22no—
1039C2×Dic5—22no—
1040C2×Dic5—22no—
1041C2×Dic5—22no—
1042C2×Dic5—22no—
1043C2×Dic5—44no—
1044C2×Dic5—44no—
1045C2×Dic5—44no—
1046C2×Dic5C2512yes—
1047C2×Dic5C2512yes—
1048C2×Dic5C2512yes—
1049C2×Dic5C2512yes—
1050C2×Dic5C2512yes—
1051C2×Dic5C2512yes—
1052C2×Dic5C2512yes—
1053C2×Dic5C2512yes—
1054C2×Dic5C2512yes—
1055C2×Dic5C2512yes—
1056C2×Dic5C2512yes—
1057C2×Dic5C2512yes—
1058C2×Dic5C2512yes—
1059D20—28no—
1060D20—44no—
1061C4×D5—28no—
1062C4×D5—28no—
1063C4×D5—44no—
1064C4×D5—44no—
1065C4×D5—44no—
1066C4×D5—44no—
1067C4×D5—44no—
1068C4×D5—44no—
1069C4×D5—44no—
1070C4×D5—44no—
1071C4×D5—44no—
1072Dic10—44no—
1073Dic10—44no—
1074Dic10—44no—
1075Dic10—44no—
1076Dic10—44no—
1077Dic10—44no—
1078C25—51no—
1079C22×Q8—51no—
1080C22×Q8—51no—
1081C22×Q8—51no—
1082C22×Q8—51no—
1083C22×Q8—51no—
1084C22×Q8—51no—
1085C22×Q8C22×D511yescharacteristic
1086C22×Q8C22×D511yescharacteristic
1087C22×Q8C22×D511yescharacteristic
1088C22×D4—51no—
1089C22×D4—51no—
1090C22×D4—51no—
1091C22×D4—51no—
1092C22×D4—51no—
1093C22×D4—51no—
1094C22×D4C22×D511yescharacteristic
1095C23×C4—51no—
1096C23×C4—51no—
1097C23×C4—51no—
1098C23×C4—51no—
1099C23×C4—51no—
1100C23×C4—51no—
1101C23×C4—51no—
1102C23×C4—51no—
1103C23×C4—51no—
1104C23×C4—51no—
1105C23×C4—51no—
1106C23×C4—51no—
1107C23×C4—51no—
1108C23×C4—51no—
1109C23×C4C22×D511yescharacteristic
1110C23×C4C22×D511yescharacteristic
1111C4⋊Q8—58no—
1112C4⋊Q8—58no—
1113C4⋊Q8—58no—
1114C4⋊Q8—58no—
1115C4⋊Q8—58no—
1116C4⋊Q8—58no—
1117C4⋊Q8—58no—
1118C4⋊Q8C22×D518yescomplemented
1119#126—58no—
1120#126—58no—
1121#126—58no—
1122#126—58no—
1123#126—58no—
1124#126—58no—
1125#126—58no—
1126#126—58no—
1127#126—58no—
1128#126—58no—
1129#126—58no—
1130#126—58no—
1131#126—58no—
1132#126—58no—
1133#126—58no—
1134#126—58no—
1135#126—58no—
1136#126—58no—
1137#126—58no—
1138#126—58no—
1139#126—58no—
1140#126—58no—
1141#126C22×D518yes—
1142#126C22×D518yes—
1143#126C22×D518yescomplemented
1144#126C22×D518yescomplemented
1145#125—58no—
1146#125—58no—
1147#125—58no—
1148#125—58no—
1149#125—58no—
1150#125—58no—
1151#125—58no—
1152#125—58no—
1153#125—58no—
1154#125—58no—
1155#125—58no—
1156#125—58no—
1157#125—58no—
1158#125—58no—
1159#125—58no—
1160#125—58no—
1161#125—58no—
1162#125—58no—
1163#125—58no—
1164#124—58no—
1165#124—58no—
1166#124—58no—
1167#124—58no—
1168#124—58no—
1169#124C22×D518yes—
1170#124C22×D518yes—
1171#123—58no—
1172#123—58no—
1173#123—58no—
1174#123—58no—
1175#123—58no—
1176#123—58no—
1177#123—58no—
1178#123—58no—
1179#123—58no—
1180#123—58no—
1181#123—58no—
1182#123—58no—
1183#123—58no—
1184#123—58no—
1185#123—58no—
1186#123—58no—
1187C22⋊Q8—58no—
1188C22⋊Q8—58no—
1189C22⋊Q8—58no—
1190C22⋊Q8—58no—
1191C22⋊Q8—58no—
1192C22⋊Q8—58no—
1193C22⋊Q8—58no—
1194C22⋊Q8—58no—
1195C22⋊Q8—58no—
1196C22⋊Q8—58no—
1197C22⋊Q8—58no—
1198C22⋊Q8—58no—
1199C22⋊Q8—58no—
1200C22⋊Q8—58no—
1201C22⋊Q8—58no—
1202C22⋊Q8—58no—
1203C22⋊Q8—58no—
1204C22⋊Q8—58no—
1205C22⋊Q8—58no—
1206C22⋊Q8—58no—
1207C22⋊Q8—58no—
1208C22⋊Q8—58no—
1209C22⋊Q8—58no—
1210C22⋊Q8—58no—
1211C22⋊Q8—58no—
1212C22⋊Q8—58no—
1213C22⋊Q8—58no—
1214C22⋊Q8—58no—
1215C22⋊Q8—58no—
1216C22⋊Q8C22×D518yes—
1217C22⋊Q8C22×D518yescomplemented
1218#121—58no—
1219#121—58no—
1220#121—58no—
1221#120—58no—
1222#120—58no—
1223C4×Q8—58no—
1224C4×Q8—58no—
1225C4×Q8—58no—
1226C4×Q8—58no—
1227C4×Q8—58no—
1228C4×Q8—58no—
1229C4×Q8C22×D518yescomplemented
1230C4×Q8C22×D518yescomplemented
1231C4×Q8C22×D518yescomplemented
1232C4×D4—58no—
1233C4×D4—58no—
1234C4×D4—58no—
1235C4×D4—58no—
1236C4×D4—58no—
1237C4×D4—58no—
1238C4×D4—58no—
1239C4×D4—58no—
1240C4×D4—58no—
1241C4×D4—58no—
1242C4×D4C22×D518yes—
1243#117—58no—
1244#117—58no—
1245#117—58no—
1246#117—58no—
1247#117—58no—
1248#117—58no—
1249#117—58no—
1250#117—58no—
1251#117—58no—
1252#117—58no—
1253#117C22×D518yes—
1254#117C22×D518yescomplemented
1255C2×C4⋊C4—51no—
1256C2×C4⋊C4—51no—
1257C2×C4⋊C4—51no—
1258C2×C4⋊C4—51no—
1259C2×C4⋊C4—51no—
1260C2×C4⋊C4—51no—
1261C2×C4⋊C4—51no—
1262C2×C4⋊C4—51no—
1263C2×C4⋊C4—51no—
1264C2×C4⋊C4—51no—
1265C2×C4⋊C4—51no—
1266C2×C4⋊C4—51no—
1267C2×C4⋊C4—51no—
1268C2×C4⋊C4—51no—
1269C2×C4⋊C4—51no—
1270C2×C4⋊C4—58no—
1271C2×C4⋊C4—51no—
1272C2×C4⋊C4—51no—
1273C2×C4⋊C4—51no—
1274C2×C4⋊C4—51no—
1275C2×C4⋊C4—51no—
1276C2×C4⋊C4—51no—
1277C2×C4⋊C4—51no—
1278C2×C4⋊C4—51no—
1279C2×C4⋊C4—51no—
1280C2×C4⋊C4—51no—
1281C2×C4⋊C4—51no—
1282C2×C4⋊C4—51no—
1283C2×C4⋊C4—51no—
1284C2×C4⋊C4—51no—
1285C2×C4⋊C4—51no—
1286C2×C4⋊C4—51no—
1287C2×C4⋊C4—51no—
1288C2×C4⋊C4—51no—
1289C2×C4⋊C4—51no—
1290C2×C4⋊C4—51no—
1291C2×C4⋊C4—51no—
1292C2×C4⋊C4—51no—
1293C2×C4⋊C4—51no—
1294C2×C4⋊C4—51no—
1295C2×C4⋊C4—51no—
1296C2×C4⋊C4—51no—
1297C2×C4⋊C4—51no—
1298C2×C4⋊C4—51no—
1299C2×C4⋊C4—51no—
1300C2×C4⋊C4—51no—
1301C2×C4⋊C4—51no—
1302C2×C4⋊C4—51no—
1303C2×C4⋊C4—51no—
1304C2×C4⋊C4—51no—
1305C2×C4⋊C4—51no—
1306C2×C4⋊C4—58no—
1307C2×C4⋊C4—58no—
1308C2×C4⋊C4—58no—
1309C2×C4⋊C4—58no—
1310C2×C4⋊C4C22×D511yescharacteristic
1311C2×C4⋊C4C22×D511yescharacteristic
1312C2×C4⋊C4C22×D511yescharacteristic
1313C2×C4⋊C4C22×D511yescharacteristic
1314C2×C4⋊C4C22×D511yescharacteristic
1315C2×C4⋊C4C22×D511yescharacteristic
1316C2×C4⋊C4C22×D511yescharacteristic
1317C2×C4⋊C4C22×D511yescharacteristic
1318C2×C4⋊C4C22×D511yescharacteristic
1319C2×C4⋊C4C22×D511yescharacteristic
1320C2×C4⋊C4C22×D511yescharacteristic
1321C2×C4⋊C4C22×D511yescharacteristic
1322C2×C22⋊C4—51no—
1323C2×C22⋊C4—51no—
1324C2×C22⋊C4—51no—
1325C2×C22⋊C4—51no—
1326C2×C22⋊C4—51no—
1327C2×C22⋊C4—51no—
1328C2×C22⋊C4—51no—
1329C2×C22⋊C4—51no—
1330C2×C22⋊C4—51no—
1331C2×C22⋊C4—51no—
1332C2×C22⋊C4—51no—
1333C2×C22⋊C4—51no—
1334C2×C22⋊C4—51no—
1335C2×C22⋊C4—51no—
1336C2×C22⋊C4—51no—
1337C2×C22⋊C4—51no—
1338C2×C22⋊C4—51no—
1339C2×C22⋊C4—51no—
1340C2×C22⋊C4—51no—
1341C2×C22⋊C4—51no—
1342C2×C22⋊C4—58no—
1343C2×C22⋊C4—51no—
1344C2×C22⋊C4—51no—
1345C2×C22⋊C4—51no—
1346C2×C22⋊C4—51no—
1347C2×C22⋊C4—51no—
1348C2×C22⋊C4—51no—
1349C2×C22⋊C4—51no—
1350C2×C22⋊C4—51no—
1351C2×C22⋊C4—51no—
1352C2×C22⋊C4—51no—
1353C2×C22⋊C4—51no—
1354C2×C22⋊C4—51no—
1355C2×C22⋊C4—58no—
1356C2×C22⋊C4—58no—
1357C2×C22⋊C4—58no—
1358C2×C22⋊C4—58no—
1359C2×C22⋊C4C22×D511yescharacteristic
1360C2×C22⋊C4C22×D511yescharacteristic
1361C2×C22⋊C4C22×D511yescharacteristic
1362C2×C22⋊C4C22×D511yescharacteristic
1363C2×C22⋊C4C22×D511yescharacteristic
1364C2×C22⋊C4C22×D511yescharacteristic
1365C2×C22⋊C4C22×D511yescharacteristic
1366C2×C22⋊C4C22×D511yescharacteristic
1367C2×C22⋊C4C22×D511yescharacteristic
1368C2×C22⋊C4C22×D511yescharacteristic
1369C2×C42—51no—
1370C2×C42—51no—
1371C2×C42—51no—
1372C2×C42—51no—
1373C2×C42—51no—
1374C2×C42—51no—
1375C2×C42—51no—
1376C2×C42—51no—
1377C2×C42—51no—
1378C2×C42—51no—
1379C2×C42—51no—
1380C2×C42—58no—
1381C2×C42C22×D511yescharacteristic
1382C2×C42C22×D511yescharacteristic
1383C2×C42C22×D511yescharacteristic
1384C2×C42C22×D511yescharacteristic
1385C2×C42C22×D511yescharacteristic
1386C2×C42C22×D511yescharacteristic
1387C2×C42C22×D511yescharacteristic
1388C22×C5—22no—
1389C22×C5—22no—
1390C22×C5—22no—
1391C22×C5—22no—
1392C22×C5—22no—
1393C22×C5—22no—
1394C22×C5—44no—
1395C22×C5—44no—
1396C22×C5C2×2−1+412yes—
1397C22×C5#58512yes—
1398C22×C5#58512yes—
1399C22×C5C2611yescharacteristic
1400C2×D5—22no—
1401C2×D5—22no—
1402C2×D5—28no—
1403C2×D5—22no—
1404C2×D5—22no—
1405C2×D5—22no—
1406C2×D5—22no—
1407C2×D5—22no—
1408C2×D5—22no—
1409C2×D5—44no—
1410C2×D5—44no—
1411C2×D5—88no—
1412C2×D5C2×2−1+414yes—
1413C4×C5—22no—
1414C4×C5—22no—
1415C4×C5—22no—
1416C4×C5—22no—
1417C4×C5—22no—
1418C4×C5—22no—
1419C4×C5—22no—
1420C4×C5—22no—
1421C4×C5—22no—
1422C4×C5—22no—
1423C4×C5—22no—
1424C4×C5—22no—
1425C4×C5—22no—
1426Dic5—22no—
1427Dic5—22no—
1428Dic5—22no—
1429Dic5—22no—
1430Dic5—22no—
1431Dic5—22no—
1432Dic5—22no—
1433Dic5—22no—
1434Dic5—22no—
1435Dic5—22no—
1436Dic5—22no—
1437Dic5—22no—
1438Dic5—22no—
1439C24—51no—
1440C24—51no—
1441C24—51no—
1442C24—54no—
1443C24—104no—
1444C24—202no—
1445C24—202no—
1446C24C23×D511yescharacteristic
1447C24C23×D511yescharacteristic
1448C2×Q8—42no—
1449C2×Q8—42no—
1450C2×Q8—42no—
1451C2×Q8—54no—
1452C2×Q8—54no—
1453C2×Q8—54no—
1454C2×Q8—54no—
1455C2×Q8—54no—
1456C2×Q8—54no—
1457C2×Q8—202no—
1458C2×Q8—202no—
1459C2×Q8—202no—
1460C2×Q8—202no—
1461C2×Q8—202no—
1462C2×Q8—202no—
1463C2×Q8C23×D514yes—
1464C2×Q8C23×D514yes—
1465C2×Q8C23×D514yes—
1466C2×D4—42no—
1467C2×D4—54no—
1468C2×D4—54no—
1469C2×D4—54no—
1470C2×D4—54no—
1471C2×D4—54no—
1472C2×D4—54no—
1473C2×D4—104no—
1474C2×D4—104no—
1475C2×D4—202no—
1476C2×D4—202no—
1477C2×D4—202no—
1478C2×D4—202no—
1479C2×D4C23×D514yes—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—51no—
1483C22×C4—51no—
1484C22×C4—51no—
1485C22×C4—51no—
1486C22×C4—51no—
1487C22×C4—51no—
1488C22×C4—51no—
1489C22×C4—51no—
1490C22×C4—51no—
1491C22×C4—51no—
1492C22×C4—51no—
1493C22×C4—51no—
1494C22×C4—51no—
1495C22×C4—54no—
1496C22×C4—54no—
1497C22×C4—54no—
1498C22×C4—54no—
1499C22×C4—54no—
1500C22×C4—54no—
1501C22×C4—54no—
1502C22×C4—54no—
1503C22×C4—54no—
1504C22×C4—54no—
1505C22×C4—54no—
1506C22×C4—54no—
1507C22×C4—54no—
1508C22×C4—54no—
1509C22×C4—104no—
1510C22×C4—104no—
1511C22×C4—202no—
1512C22×C4—202no—
1513C22×C4—202no—
1514C22×C4—202no—
1515C22×C4—202no—
1516C22×C4—202no—
1517C22×C4—202no—
1518C22×C4—202no—
1519C22×C4—202no—
1520C22×C4—202no—
1521C22×C4—202no—
1522C22×C4—202no—
1523C22×C4C23×D511yescharacteristic
1524C22×C4C23×D511yescharacteristic
1525C22×C4C23×D511yescharacteristic
1526C22×C4C23×D511yescharacteristic
1527C22×C4C23×D511yescharacteristic
1528C22×C4C23×D511yescharacteristic
1529C22×C4C23×D511yescharacteristic
1530C22×C4C23×D511yescharacteristic
1531C22×C4C23×D511yescharacteristic
1532C22×C4C23×D511yescharacteristic
1533C22×C4C23×D511yescharacteristic
1534C22×C4C23×D511yescharacteristic
1535C22×C4C23×D511yescharacteristic
1536C22×C4C23×D514yes—
1537C22×C4C23×D514yes—
1538C4⋊C4—54no—
1539C4⋊C4—54no—
1540C4⋊C4—54no—
1541C4⋊C4—54no—
1542C4⋊C4—54no—
1543C4⋊C4—54no—
1544C4⋊C4—54no—
1545C4⋊C4—54no—
1546C4⋊C4—54no—
1547C4⋊C4—54no—
1548C4⋊C4—54no—
1549C4⋊C4—54no—
1550C4⋊C4—54no—
1551C4⋊C4—54no—
1552C4⋊C4—54no—
1553C4⋊C4—54no—
1554C4⋊C4—54no—
1555C4⋊C4—54no—
1556C4⋊C4—54no—
1557C4⋊C4—54no—
1558C4⋊C4—54no—
1559C4⋊C4—54no—
1560C4⋊C4—54no—
1561C4⋊C4—54no—
1562C4⋊C4—54no—
1563C4⋊C4—54no—
1564C4⋊C4—54no—
1565C4⋊C4—54no—
1566C4⋊C4—54no—
1567C4⋊C4—54no—
1568C4⋊C4—54no—
1569C4⋊C4—54no—
1570C4⋊C4—54no—
1571C4⋊C4—54no—
1572C4⋊C4—54no—
1573C4⋊C4—54no—
1574C4⋊C4—54no—
1575C4⋊C4—54no—
1576C4⋊C4—54no—
1577C4⋊C4—54no—
1578C4⋊C4—54no—
1579C4⋊C4—54no—
1580C4⋊C4—54no—
1581C4⋊C4—54no—
1582C4⋊C4—54no—
1583C4⋊C4—54no—
1584C4⋊C4—54no—
1585C4⋊C4—54no—
1586C4⋊C4—54no—
1587C4⋊C4—54no—
1588C4⋊C4C23×D514yes—
1589C4⋊C4C23×D514yes—
1590C4⋊C4C23×D514yes—
1591C4⋊C4C23×D514yes—
1592C4⋊C4C23×D514yes—
1593C4⋊C4C23×D514yes—
1594C4⋊C4C23×D514yes—
1595C4⋊C4C23×D514yes—
1596C4⋊C4C23×D514yes—
1597C4⋊C4C23×D514yes—
1598C4⋊C4C23×D514yes—
1599C4⋊C4C23×D514yes—
1600C22⋊C4—54no—
1601C22⋊C4—54no—
1602C22⋊C4—54no—
1603C22⋊C4—54no—
1604C22⋊C4—54no—
1605C22⋊C4—54no—
1606C22⋊C4—54no—
1607C22⋊C4—54no—
1608C22⋊C4—54no—
1609C22⋊C4—54no—
1610C22⋊C4—54no—
1611C22⋊C4—54no—
1612C22⋊C4—54no—
1613C22⋊C4—54no—
1614C22⋊C4—54no—
1615C22⋊C4—54no—
1616C22⋊C4—54no—
1617C22⋊C4—54no—
1618C22⋊C4—54no—
1619C22⋊C4—54no—
1620C22⋊C4—54no—
1621C22⋊C4—54no—
1622C22⋊C4—54no—
1623C22⋊C4—54no—
1624C22⋊C4—54no—
1625C22⋊C4—54no—
1626C22⋊C4—54no—
1627C22⋊C4—54no—
1628C22⋊C4—54no—
1629C22⋊C4—54no—
1630C22⋊C4—54no—
1631C22⋊C4—54no—
1632C22⋊C4C23×D514yes—
1633C22⋊C4C23×D514yes—
1634C22⋊C4C23×D514yes—
1635C22⋊C4C23×D514yes—
1636C22⋊C4C23×D514yes—
1637C22⋊C4C23×D514yes—
1638C22⋊C4C23×D514yes—
1639C22⋊C4C23×D514yes—
1640C22⋊C4C23×D514yes—
1641C22⋊C4C23×D514yes—
1642C42—54no—
1643C42—54no—
1644C42—54no—
1645C42—54no—
1646C42—54no—
1647C42—54no—
1648C42—54no—
1649C42—54no—
1650C42—54no—
1651C42—54no—
1652C42—54no—
1653C42C23×D514yes—
1654C42C23×D514yes—
1655C42C23×D514yes—
1656C42C23×D514yes—
1657C42C23×D514yes—
1658C42C23×D514yes—
1659C42C23×D514yes—
1660C2×C5—42no—
1661C2×C5—42no—
1662C2×C5#356414yescomplemented
1663C2×C5C22×2−1+411yescharacteristic
1664C2×C5C2×#58511yescharacteristic
1665C2×C5C2×#58511yescharacteristic
1666D5—24no—
1667D5—42no—
1668D5—42no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—54no—
1676C23—52no—
1677C23—52no—
1678C23—52no—
1679C23—108no—
1680C23—102no—
1681C23—102no—
1682C23—102no—
1683C23—102no—
1684C23—102no—
1685C23—102no—
1686C23—102no—
1687C23—102no—
1688C23—204no—
1689C23—204no—
1690C23—408no—
1691C23C24×D512yes—
1692C23C24×D512yes—
1693C23C24×D511yescharacteristic
1694Q8—44no—
1695Q8—44no—
1696Q8—44no—
1697Q8—204no—
1698Q8—204no—
1699Q8—204no—
1700Q8—204no—
1701Q8—204no—
1702Q8—204no—
1703D4—44no—
1704D4—108no—
1705D4—108no—
1706D4—204no—
1707D4—204no—
1708D4—204no—
1709D4—204no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—52no—
1726C2×C4—52no—
1727C2×C4—52no—
1728C2×C4—52no—
1729C2×C4—52no—
1730C2×C4—52no—
1731C2×C4—52no—
1732C2×C4—52no—
1733C2×C4—52no—
1734C2×C4—52no—
1735C2×C4—52no—
1736C2×C4—52no—
1737C2×C4—52no—
1738C2×C4—108no—
1739C2×C4—108no—
1740C2×C4—102no—
1741C2×C4—102no—
1742C2×C4—102no—
1743C2×C4—102no—
1744C2×C4—102no—
1745C2×C4—102no—
1746C2×C4—102no—
1747C2×C4—102no—
1748C2×C4—102no—
1749C2×C4—102no—
1750C2×C4—102no—
1751C2×C4—102no—
1752C2×C4—102no—
1753C2×C4—204no—
1754C2×C4—204no—
1755C2×C4—204no—
1756C2×C4—204no—
1757C2×C4—204no—
1758C2×C4—204no—
1759C2×C4—204no—
1760C2×C4—204no—
1761C2×C4—204no—
1762C2×C4—204no—
1763C2×C4—204no—
1764C2×C4—204no—
1765C2×C4C24×D512yes—
1766C2×C4C24×D512yes—
1767C2×C4C24×D512yes—
1768C2×C4C24×D512yes—
1769C2×C4C24×D512yes—
1770C2×C4C24×D512yes—
1771C2×C4C24×D512yes—
1772C2×C4C24×D512yes—
1773C2×C4C24×D512yes—
1774C2×C4C24×D512yes—
1775C2×C4C24×D512yes—
1776C2×C4C24×D512yes—
1777C2×C4C24×D512yes—
1778C5C2×#356411yescharacteristic, complemented, Sylow
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—44no—
1786C22—44no—
1787C22—54no—
1788C22—108no—
1789C22—102no—
1790C22—102no—
1791C22—102no—
1792C22—102no—
1793C22—102no—
1794C22—102no—
1795C22—102no—
1796C22—102no—
1797C22—204no—
1798C22—204no—
1799C22—408no—
1800C22#6628312yes—
1801C22#6628312yes—
1802C22D5×2−1+412yes—
1803C22C25×D511yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—102no—
1818C4—102no—
1819C4—102no—
1820C4—102no—
1821C4—102no—
1822C4—102no—
1823C4—102no—
1824C4—102no—
1825C4—102no—
1826C4—102no—
1827C4—102no—
1828C4—102no—
1829C4—102no—
1830C2—42no—
1831C2—42no—
1832C2—104no—
1833C2—202no—
1834C2—202no—
1835C2#1061891414yesdirect product factor
1836C2C2×#6628311yescharacteristic
1837C2C2×#6628311yescharacteristic
1838C2C2×D5×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#556C2
socleC23×C5C25
prime radicalC2×#66012C2
hypercenterC2×#556D5
hypocenterC5C2×#3564
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#556

Complements

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

NH ≅ G/Ntype
1. C2×C5×#556C2semidirect
2. #10618914C2direct (N × H)
3. C2×#66069C2semidirect
4. C2×#66063C2semidirect
5. C2×#66042C2semidirect
6. C2×#66042C2semidirect
7. C2×#66039C2semidirect
8. C2×#66041C2semidirect
9. C2×D5×#126C2semidirect
10. C2×#66046C2semidirect
11. C2×#66044C2semidirect
12. C2×#66035C2semidirect
13. C2×#66013C2semidirect
15. C2×#66006C2semidirect
16. C2×#66003C2semidirect
17. C2×#65968C2semidirect
18. C2×#65972C2semidirect
19. C2×#65980C2semidirect
20. C2×#65970C2semidirect
21. C2×#65913C2semidirect
22. C2×#65915C2semidirect
23. C2×#65917C2semidirect
24. C2×#65917C2semidirect
25. C2×#65912C2semidirect
26. C2×#65902C2semidirect
27. C2×#65890C2semidirect
28. C2×#65898C2semidirect
29. C2×#65861C2semidirect
30. C2×#65862C2semidirect
31. C2×#65865C2semidirect
32. C2×#65852C2semidirect
33. C5×#556C22semidirect
34. C2×C5×C4⋊Q8C22semidirect
37. C2×C5×#126C22semidirect
38. C2×C5×#126C22semidirect
42. C2×C5×C22⋊Q8C22semidirect
43. C2×C4×C5×Q8C22semidirect
44. C2×C4×C5×Q8C22semidirect
45. C2×C4×C5×Q8C22semidirect
48. C2×C5×#117C22semidirect
55. C2×#4092C22semidirect
56. C2×#4092C22semidirect
57. C2×#4090C22semidirect
58. C2×#4090C22semidirect
59. C2×#4090C22semidirect
60. C2×#4090C22semidirect
68. C2×C4×C22⋊D5C22semidirect
72. C22×#683C22semidirect
73. #66069C22semidirect
74. #66063C22semidirect
75. #66046C22semidirect
76. #66044C22semidirect
77. #66042C22semidirect
78. #66042C22semidirect
79. #66041C22semidirect
80. #66039C22semidirect
81. D5×#126C22semidirect
82. #66035C22semidirect
83. #66013C22semidirect
85. #66006C22semidirect
86. #66003C22semidirect
87. #65980C22semidirect
88. #65972C22semidirect
89. #65970C22semidirect
90. #65968C22semidirect
91. #65917C22semidirect
92. #65917C22semidirect
93. #65915C22semidirect
94. #65913C22semidirect
95. #65912C22semidirect
96. #65902C22semidirect
97. #65898C22semidirect
98. #65890C22semidirect
99. #65865C22semidirect
100. #65862C22semidirect
101. #65861C22semidirect
102. #65852C22semidirect
108. C2×#4044C22semidirect
109. C2×#4044C22semidirect
120. C2×#4042C22semidirect
121. C2×#4042C22semidirect
122. C2×#4042C22semidirect
129. C2×#4038C22semidirect
133. C2×D5×C4⋊C4C22semidirect
134. C2×#4036C22semidirect
135. C2×#4036C22semidirect
136. C2×#4036C22semidirect
137. C2×#4035C22semidirect
138. C2×#4035C22semidirect
139. C2×#4035C22semidirect
140. C2×#4035C22semidirect
141. C2×#4035C22semidirect
142. C2×#4035C22semidirect
143. C2×#4035C22semidirect
144. C2×#4035C22semidirect
145. C2×#4035C22semidirect
146. C2×#4035C22semidirect
147. C2×#4035C22semidirect
148. C2×#4034C22semidirect
149. C2×#4034C22semidirect
150. C2×#4033C22semidirect
152. C2×#4032C22semidirect
155. C2×#4031C22semidirect
163. C2×#4029C22semidirect
180. C2×#4025C22semidirect
181. C2×#4025C22semidirect
185. C2×#4024C22semidirect
186. C2×#4024C22semidirect
187. C2×#4024C22semidirect
188. C2×#4024C22semidirect
190. C2×#4023C22semidirect
195. C2×#4022C22semidirect
196. C2×#4022C22semidirect
206. C2×#4018C22semidirect
208. C2×#4016C22semidirect
209. C2×#4016C22semidirect
210. C2×#4016C22semidirect
211. C2×#4016C22semidirect
212. C2×#4016C22semidirect
213. C2×#4015C22semidirect
214. C2×C4×Dic10C22semidirect
215. C2×C4×Dic10C22semidirect
216. C2×C4×Dic10C22semidirect
217. C2×C4×Dic10C22semidirect
218. C2×C4×Dic10C22semidirect
253. C5×C4⋊Q8C23semidirect
256. C5×#126C23semidirect
257. C5×#126C23semidirect
261. C5×C22⋊Q8C23semidirect
262. C4×C5×Q8C23semidirect
263. C4×C5×Q8C23semidirect
264. C4×C5×Q8C23semidirect
267. C5×#117C23semidirect
311. #4092C23semidirect
312. #4092C23semidirect
313. #4090C23semidirect
314. #4090C23semidirect
315. #4090C23semidirect
316. #4090C23semidirect
324. C4×C22⋊D5C23semidirect
402. C2×#683C23semidirect
419. #4044C23semidirect
420. #4044C23semidirect
431. #4042C23semidirect
432. #4042C23semidirect
433. #4042C23semidirect
440. #4038C23semidirect
444. D5×C4⋊C4C23semidirect
445. #4036C23semidirect
446. #4036C23semidirect
447. #4036C23semidirect
448. #4035C23semidirect
449. #4035C23semidirect
450. #4035C23semidirect
451. #4035C23semidirect
452. #4035C23semidirect
453. #4035C23semidirect
454. #4035C23semidirect
455. #4035C23semidirect
456. #4035C23semidirect
457. #4035C23semidirect
458. #4035C23semidirect
459. #4034C23semidirect
460. #4034C23semidirect
461. #4033C23semidirect
463. #4032C23semidirect
466. #4031C23semidirect
474. #4029C23semidirect
491. #4025C23semidirect
492. #4025C23semidirect
496. #4024C23semidirect
497. #4024C23semidirect
498. #4024C23semidirect
499. #4024C23semidirect
501. #4023C23semidirect
506. #4022C23semidirect
507. #4022C23semidirect
517. #4018C23semidirect
519. #4016C23semidirect
520. #4016C23semidirect
521. #4016C23semidirect
522. #4016C23semidirect
523. #4016C23semidirect
524. #4015C23semidirect
525. C4×Dic10C23semidirect
526. C4×Dic10C23semidirect
527. C4×Dic10C23semidirect
528. C4×Dic10C23semidirect
529. C4×Dic10C23semidirect
536. C2×#556D5semidirect
788. #556C2×D5semidirect
819. C2×C4⋊Q8C2×D5semidirect
846. C2×#126C2×D5semidirect
847. C2×#126C2×D5semidirect
920. C2×C22⋊Q8C2×D5semidirect
932. C2×C4×Q8C2×D5semidirect
933. C2×C4×Q8C2×D5semidirect
934. C2×C4×Q8C2×D5semidirect
957. C2×#117C2×D5semidirect
1118. C4⋊Q8C22×D5semidirect
1143. #126C22×D5semidirect
1144. #126C22×D5semidirect
1217. C22⋊Q8C22×D5semidirect
1229. C4×Q8C22×D5semidirect
1230. C4×Q8C22×D5semidirect
1231. C4×Q8C22×D5semidirect
1254. #117C22×D5semidirect
1662. C2×C5#3564semidirect
1778. C5C2×#3564semidirect
1835. C2#10618914direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5562
#106189142
C2×#660692
C2×#660632
C2×#660422
C2×#660392
C2×#660412
C2×D5×#1262
C2×#660462
C2×#660442
C2×#660352
C2×#660132
C2×#660122
C2×#660062
C2×#660032
C2×#659682
C2×#659722
C2×#659802
C2×#659702
C2×#659132
C2×#659152
C2×#659172
C2×#659122
C2×#659022
C2×#658902
C2×#658982
C2×#658612
C2×#658622
C2×#658652
C2×#658522
C2×#35645