Finite Group Databasebeta

← C2×#10618765 #13006567

Subgroups — C2×#10618765 #13006567

Order 1280.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#552C211yesmaximal, characteristic, complemented
2#10618765C2132yesmaximal, direct product factor
3C2×#66045C211yesmaximal, characteristic, complemented
4C2×#66038C211yesmaximal, characteristic, complemented
5C2×#66043C211yesmaximal, characteristic, complemented
6C2×#66044C211yesmaximal, characteristic, complemented
7C2×#66033C211yesmaximal, characteristic, complemented
8C2×#66034C211yesmaximal, characteristic, complemented
9C2×#66029C211yesmaximal, characteristic, complemented
10C2×#66032C211yesmaximal, characteristic, complemented
11C2×#66026C211yesmaximal, characteristic, complemented
12C2×#66026C211yesmaximal, characteristic, complemented
13C2×#65989C211yesmaximal, characteristic, complemented
14C2×#65988C211yesmaximal, characteristic, complemented
15C2×#65987C211yesmaximal, characteristic, complemented
16C2×#65990C211yesmaximal, characteristic, complemented
17C2×#65981C211yesmaximal, characteristic, complemented
18C2×#65971C211yesmaximal, characteristic, complemented
19C2×#65978C211yesmaximal, characteristic, complemented
20C2×#65978C211yesmaximal, characteristic, complemented
21C2×#65916C211yesmaximal, characteristic, complemented
22C2×#65919C211yesmaximal, characteristic, complemented
23C2×#65888C211yesmaximal, characteristic, complemented
24C2×#65894C211yesmaximal, characteristic, complemented
25C2×#65861C211yesmaximal, characteristic, complemented
26C2×#65861C211yesmaximal, characteristic, complemented
27C2×#65869C211yesmaximal, characteristic, complemented
28C2×#65859C211yesmaximal, characteristic, complemented
29C2×#65858C211yesmaximal, characteristic, complemented
30C2×#65865C211yesmaximal, characteristic, complemented
31C2×#65841C211yesmaximal, characteristic, complemented
32C22×#4040C211yesmaximal, characteristic, complemented
33C22×#711C2211yescharacteristic
34C22×D4×D5C2211yescharacteristic
35C22×#709C2211yescharacteristic
36C22×#709C2211yescharacteristic, complemented
37C23×D20C2211yescharacteristic
38C23×C4×D5C2211yescharacteristic, complemented
39C5×#552C22116yescomplemented
40C2×C5×#126C2211yescharacteristic, complemented
41C2×C5×#126C2211yescharacteristic, complemented
42C2×C5×#125C2211yescharacteristic, complemented
43C2×C5×#125C2211yescharacteristic, complemented
44C2×C5×#125C2211yescharacteristic, complemented
45C2×C5×#123C2211yescharacteristic
46C2×C5×#123C2211yescharacteristic
47C2×C5×C22⋊Q8C2211yescharacteristic, complemented
48C2×C5×C22⋊Q8C2211yescharacteristic, complemented
49C2×C4×C5×Q8C2211yescharacteristic, complemented
50C2×C4×C5×D4C2211yescharacteristic
51C2×C5×#117C2211yescharacteristic, complemented
52C2×C5×#117C2211yescharacteristic, complemented
53C2×C5×#117C2211yescharacteristic, complemented
54C22×C5×C4⋊C4C2211yescharacteristic, complemented
55C2×#4093C2211yescharacteristic, complemented
56C2×#4093C2211yescharacteristic, complemented
57C2×#4093C2211yescharacteristic, complemented
58C2×#4092C2211yescharacteristic, complemented
59C2×#4085C2211yescharacteristic
60C2×#4083C2211yescharacteristic
61C2×#4076C2211yescharacteristic
62C2×#4076C2211yescharacteristic, complemented
63C2×#4076C2211yescharacteristic, complemented
64C2×#4075C2211yescharacteristic
65C2×#4075C2211yescharacteristic, complemented
66C2×#4075C2211yescharacteristic, complemented
67C2×C4×C22⋊D5C2211yescharacteristic, complemented
68C22×#685C2211yescharacteristic
69C22×#685C2211yescharacteristic
70C22×#685C2211yescharacteristic, complemented
71C22×#685C2211yescharacteristic, complemented
72C22×#683C2211yescharacteristic, complemented
73#66045C22116yescomplemented
74#66044C22116yescomplemented
75#66043C22116yescomplemented
76#66038C22116yescomplemented
77#66034C22116yescomplemented
78#66033C22116yescomplemented
79#66032C22116yescomplemented
80#66029C22116yescomplemented
81#66026C22116yescomplemented
82#66026C22116yescomplemented
83#65990C22116yescomplemented
84#65989C22116yescomplemented
85#65988C22116yescomplemented
86#65987C22116yescomplemented
87#65981C22116yescomplemented
88#65978C22116yescomplemented
89#65978C22116yescomplemented
90#65971C22116yescomplemented
91#65919C22116yescomplemented
92#65916C22116yescomplemented
93#65894C22116yescomplemented
94#65888C22116yescomplemented
95#65869C22116yescomplemented
96#65865C22116yescomplemented
97#65861C22116yescomplemented
98#65861C22116yescomplemented
99#65859C22116yescomplemented
100#65858C22116yescomplemented
101C2×#4044C2211yescharacteristic, complemented
102C2×#4044C2211yescharacteristic, complemented
103C2×#4044C2211yescharacteristic, complemented
104C2×#4044C2211yescharacteristic, complemented
105C2×#4044C2211yescharacteristic, complemented
106C2×#4044C2211yescharacteristic, complemented
107C2×#4044C2211yescharacteristic, complemented
108C2×#4043C2211yescharacteristic, complemented
109C2×#4043C2211yescharacteristic, complemented
110C2×#4043C2211yescharacteristic, complemented
111C2×#4042C2211yescharacteristic, complemented
112C2×#4042C2211yescharacteristic, complemented
113C2×#4042C2211yescharacteristic, complemented
114C2×#4042C2211yescharacteristic, complemented
115C2×#4042C2211yescharacteristic, complemented
116C2×#4042C2211yescharacteristic, complemented
117C2×#4042C2211yescharacteristic, complemented
118C2×#4042C2211yescharacteristic, complemented
119#65841C22116yescomplemented
120C2×#4041C2211yescharacteristic
121C2×#4041C2211yescharacteristic
122C2×#4041C2211yescharacteristic
123C2×#4041C2211yescharacteristic
124C2×#4041C2211yescharacteristic, complemented
125C2×#4041C2211yescharacteristic, complemented
126C2×#4041C2211yescharacteristic, complemented
127C2×#4041C2211yescharacteristic, complemented
128C2×#4041C2211yescharacteristic, complemented
129C2×#4041C2211yescharacteristic, complemented
130C2×#4041C2211yescharacteristic, complemented
131C2×#4041C2211yescharacteristic, complemented
132C2×#4041C2211yescharacteristic, complemented
133C2×#4040C2211yescharacteristic
134C2×#4040C2211yescharacteristic
135C2×#4040C2211yescharacteristic
136C2×#4040C2211yescharacteristic
137C2×#4040C2211yescharacteristic
138C2×#4040C2211yescharacteristic
139C2×#4040C2211yescharacteristic, complemented
140C2×#4040C2211yescharacteristic, complemented
141C2×#4040C2211yescharacteristic, complemented
142C2×#4040C2211yescharacteristic, complemented
143C2×#4040C2211yescharacteristic, complemented
144C2×#4040C2211yescharacteristic, complemented
145C2×#4040C2211yescharacteristic, complemented
146C2×#4040C2211yescharacteristic, complemented
147C2×#4040C2211yescharacteristic, complemented
148C2×#4040C2211yescharacteristic, complemented
149C2×#4040C2211yescharacteristic, complemented
150C2×#4040C2211yescharacteristic, complemented
151C2×#4040C2211yescharacteristic, complemented
152C2×#4040C2211yescharacteristic, complemented
153C2×#4040C2211yescharacteristic, complemented
154C2×#4040C22116yescomplemented
155C2×#4039C2211yescharacteristic, complemented
156C2×#4039C2211yescharacteristic, complemented
157C2×#4039C2211yescharacteristic, complemented
158C2×#4039C2211yescharacteristic, complemented
159C2×#4039C2211yescharacteristic, complemented
160C2×#4038C2211yescharacteristic, complemented
161C2×D5×C4⋊C4C2211yescharacteristic, complemented
162C2×D5×C4⋊C4C2211yescharacteristic, complemented
163C2×#4035C2211yescharacteristic, complemented
164C2×#4035C2211yescharacteristic, complemented
165C2×#4034C2211yescharacteristic, complemented
166C2×#4034C2211yescharacteristic, complemented
167C2×#4032C2211yescharacteristic
168C2×#4032C2211yescharacteristic, complemented
169C2×#4032C2211yescharacteristic, complemented
170C2×#4031C2211yescharacteristic, complemented
171C2×#4031C2211yescharacteristic, complemented
172C2×#4030C2211yescharacteristic
173C2×#4030C2211yescharacteristic
174C2×#4030C2211yescharacteristic, complemented
175C2×#4030C2211yescharacteristic, complemented
176C2×#4030C2211yescharacteristic, complemented
177C2×#4030C2211yescharacteristic, complemented
178C2×#4030C2211yescharacteristic, complemented
179C2×#4029C2211yescharacteristic, complemented
180C2×#4028C2211yescharacteristic
181C2×#4028C2211yescharacteristic
182C2×#4028C2211yescharacteristic
183C2×#4028C2211yescharacteristic
184C2×#4028C2211yescharacteristic
185C2×#4028C2211yescharacteristic, complemented
186C2×#4028C2211yescharacteristic, complemented
187C2×#4028C2211yescharacteristic, complemented
188C2×#4028C2211yescharacteristic, complemented
189C2×#4027C2211yescharacteristic
190C2×#4027C2211yescharacteristic, complemented
191C2×#4027C2211yescharacteristic, complemented
192C2×#4027C2211yescharacteristic, complemented
193C2×#4027C2211yescharacteristic, complemented
194C2×D5×C22⋊C4C2211yescharacteristic
195C2×D5×C22⋊C4C2211yescharacteristic, complemented
196C2×#4024C2211yescharacteristic, complemented
197C2×#4024C2211yescharacteristic, complemented
198C2×#4023C2211yescharacteristic, complemented
199C2×#4022C2211yescharacteristic, complemented
200C2×#4022C2211yescharacteristic, complemented
201C2×#4022C2211yescharacteristic, complemented
202C2×#4021C2211yescharacteristic
203C2×#4021C2211yescharacteristic, complemented
204C2×#4021C2211yescharacteristic, complemented
205C2×#4021C2211yescharacteristic, complemented
206C2×#4021C2211yescharacteristic, complemented
207C2×#4020C2211yescharacteristic
208C2×#4020C2211yescharacteristic, complemented
209C2×C4×D20C2211yescharacteristic, complemented
210C2×C4×D20C2211yescharacteristic, complemented
211C2×C4×D20C2211yescharacteristic, complemented
212C2×C4×D20C2211yescharacteristic, complemented
213C2×C4×D20C2211yescharacteristic, complemented
214C2×C4×D20C2211yescharacteristic, complemented
215C2×#4018C2211yescharacteristic, complemented
216C2×#4018C2211yescharacteristic, complemented
217C2×#4016C2211yescharacteristic, complemented
218C2×C4×Dic10C2211yescharacteristic, complemented
219C2×#3533—51nomaximal, Sylow
220C24×D5C2311yescharacteristic
221C24×D5C2311yescharacteristic
222C24×D5C2311yescharacteristic
223C22×C5×Q8C2311yescharacteristic
224C22×C5×D4C2311yescharacteristic
225C23×C4×C5C2311yescharacteristic
226C23×C4×C5C2311yescharacteristic
227C23×C4×C5C2311yescharacteristic
228C23×C4×C5C2311yescharacteristic
229C22×C22⋊D5C2311yescharacteristic
230C22×C22⋊D5C2311yescharacteristic
231C22×C22⋊D5C2311yescharacteristic
232C22×C22⋊D5C2311yescharacteristic
233C22×C22⋊D5C2311yescharacteristic
234C22×C22⋊D5C2311yescharacteristic
235C22×C22⋊D5C2311yescharacteristic
236C22×C22⋊D5C2311yescharacteristic
237C23×Dic5C2311yescharacteristic
238C23×Dic5C2311yescharacteristic
239C23×Dic5C2311yescharacteristic
240C2×#711—44no—
241C2×#711C2318yes—
242C2×D4×D5—44no—
243C2×D4×D5C2318yes—
244C2×#709—44no—
245C2×#709—44no—
246C2×#709C2318yes—
247C2×#709C2318yescomplemented
248C22×D20—44no—
249C22×D20C2311yescharacteristic
250C22×D20C2311yescharacteristic
251C22×D20C2311yescharacteristic
252C22×D20C2311yescharacteristic
253C22×D20C2311yescharacteristic
254C22×D20C2311yescharacteristic
255C22×D20C2311yescharacteristic
256C22×D20C2311yescharacteristic
257C22×D20C2311yescharacteristic
258C22×D20C2311yescharacteristic
259C22×D20C2311yescharacteristic
260C22×D20C2311yescharacteristic
261C22×D20C2311yescharacteristic
262C22×D20C2311yescharacteristic
263C22×D20C2311yescharacteristic
264C22×D20C2311yescharacteristic
265C22×D20C2311yescharacteristic
266C22×D20C2311yescharacteristic
267C22×D20C2318yes—
268C22×C4×D5—44no—
269C22×C4×D5C2311yescharacteristic
270C22×C4×D5C2311yescharacteristic
271C22×C4×D5C2311yescharacteristic
272C22×C4×D5C2311yescharacteristic
273C22×C4×D5C2311yescharacteristic
274C22×C4×D5C2311yescharacteristic
275C22×C4×D5C2311yescharacteristic
276C22×C4×D5C2311yescharacteristic
277C22×C4×D5C2311yescharacteristic
278C22×C4×D5C2311yescharacteristic
279C22×C4×D5C2311yescharacteristic
280C22×C4×D5C2311yescharacteristic
281C22×C4×D5C2311yescharacteristic
282C22×C4×D5C2311yescharacteristic
283C22×C4×D5C2311yescharacteristic
284C22×C4×D5C2318yescomplemented
285C22×Dic10C2311yescharacteristic
286C22×Dic10C2311yescharacteristic
287C22×Dic10C2311yescharacteristic
288C22×Dic10C2311yescharacteristic
289C5×#126C2318yescomplemented
290C5×#126C2318yescomplemented
291C5×#125C2318yescomplemented
292C5×#125C2318yescomplemented
293C5×#125C2318yescomplemented
294C5×#123C2318yes—
295C5×#123C2318yes—
296C5×C22⋊Q8C2318yescomplemented
297C5×C22⋊Q8C2318yescomplemented
298C4×C5×Q8C2318yescomplemented
299C4×C5×D4C2318yes—
300C5×#117C2318yescomplemented
301C5×#117C2318yescomplemented
302C5×#117C2318yescomplemented
303C2×C5×C4⋊C4C2311yescharacteristic
304C2×C5×C4⋊C4C2311yescharacteristic
305C2×C5×C4⋊C4C2311yescharacteristic
306C2×C5×C4⋊C4C2311yescharacteristic
307C2×C5×C4⋊C4C2311yescharacteristic
308C2×C5×C4⋊C4C2311yescharacteristic
309C2×C5×C4⋊C4C2311yescharacteristic
310C2×C5×C4⋊C4C2311yescharacteristic
311C2×C5×C4⋊C4C2311yescharacteristic
312C2×C5×C4⋊C4C2311yescharacteristic
313C2×C5×C4⋊C4C2311yescharacteristic
314C2×C5×C4⋊C4C2311yescharacteristic
315C2×C5×C4⋊C4C2311yescharacteristic
316C2×C5×C4⋊C4C2311yescharacteristic
317C2×C5×C4⋊C4C2311yescharacteristic
318C2×C5×C4⋊C4C2311yescharacteristic
319C2×C5×C4⋊C4C2318yescomplemented
320C2×C5×C22⋊C4C2311yescharacteristic
321C2×C5×C22⋊C4C2311yescharacteristic
322C2×C5×C22⋊C4C2311yescharacteristic
323C2×C5×C22⋊C4C2311yescharacteristic
324C2×C5×C22⋊C4C2311yescharacteristic
325C2×C5×C22⋊C4C2311yescharacteristic
326C2×C5×C22⋊C4C2311yescharacteristic
327C2×C5×C22⋊C4C2311yescharacteristic
328C2×C42×C5C2311yescharacteristic
329C2×C42×C5C2311yescharacteristic
330C2×C42×C5C2311yescharacteristic
331C2×C42×C5C2311yescharacteristic
332C2×C42×C5C2311yescharacteristic
333C2×C22⋊Dic5C2311yescharacteristic
334C2×C22⋊Dic5C2311yescharacteristic
335#4093C2318yescomplemented
336#4093C2318yescomplemented
337#4093C2318yescomplemented
338#4092C2318yescomplemented
339#4085C2318yes—
340#4083C2318yes—
341#4076C2318yes—
342#4076C2318yescomplemented
343#4076C2318yescomplemented
344#4075C2318yes—
345#4075C2318yescomplemented
346#4075C2318yescomplemented
347C4×C22⋊D5C2318yescomplemented
348C2×#685C2311yescharacteristic
349C2×#685C2311yescharacteristic
350C2×#685C2311yescharacteristic
351C2×#685C2311yescharacteristic
352C2×#685C2311yescharacteristic
353C2×#685C2311yescharacteristic
354C2×#685C2311yescharacteristic
355C2×#685C2311yescharacteristic
356C2×#685C2311yescharacteristic
357C2×#685C2311yescharacteristic
358C2×#685C2311yescharacteristic
359C2×#685C2311yescharacteristic
360C2×#685C2311yescharacteristic
361C2×#685C2311yescharacteristic
362C2×#685C2311yescharacteristic
363C2×#685C2311yescharacteristic
364C2×#685C2311yescharacteristic
365C2×#685C2311yescharacteristic
366C2×#685C2311yescharacteristic
367C2×#685C2311yescharacteristic
368C2×#685C2311yescharacteristic
369C2×#685C2311yescharacteristic
370C2×#685C2311yescharacteristic
371C2×#685C2311yescharacteristic
372C2×#685C2311yescharacteristic
373C2×#685C2311yescharacteristic
374C2×#685C2311yescharacteristic
375C2×#685C2311yescharacteristic
376C2×#685C2311yescharacteristic
377C2×#685C2311yescharacteristic
378C2×#685C2311yescharacteristic
379C2×#685C2311yescharacteristic
380C2×#685C2311yescharacteristic
381C2×#685C2311yescharacteristic
382C2×#685C2311yescharacteristic
383C2×#685C2311yescharacteristic
384C2×#685C2311yescharacteristic
385C2×#685C2311yescharacteristic
386C2×#685C2311yescharacteristic
387C2×#685C2311yescharacteristic
388C2×#685C2318yes—
389C2×#685C2318yes—
390C2×#685C2318yescomplemented
391C2×#685C2318yescomplemented
392C2×C4⋊Dic5C2311yescharacteristic
393C2×C4⋊Dic5C2311yescharacteristic
394C2×C4⋊Dic5C2311yescharacteristic
395C2×C4⋊Dic5C2311yescharacteristic
396C2×C4⋊Dic5C2311yescharacteristic
397C2×C4⋊Dic5C2311yescharacteristic
398C2×#683C2311yescharacteristic
399C2×#683C2311yescharacteristic
400C2×#683C2311yescharacteristic
401C2×#683C2311yescharacteristic
402C2×#683C2311yescharacteristic
403C2×#683C2311yescharacteristic
404C2×#683C2311yescharacteristic
405C2×#683C2311yescharacteristic
406C2×#683C2311yescharacteristic
407C2×#683C2311yescharacteristic
408C2×#683C2311yescharacteristic
409C2×#683C2311yescharacteristic
410C2×#683C2311yescharacteristic
411C2×#683C2311yescharacteristic
412C2×#683C2311yescharacteristic
413C2×#683C2311yescharacteristic
414C2×#683C2318yescomplemented
415C2×C4×Dic5C2311yescharacteristic
416C2×C4×Dic5C2311yescharacteristic
417C2×C4×Dic5C2311yescharacteristic
418C2×C4×Dic5C2311yescharacteristic
419C2×C4×Dic5C2311yescharacteristic
420#4044C2318yescomplemented
421#4044C2318yescomplemented
422#4044C2318yescomplemented
423#4044C2318yescomplemented
424#4044C2318yescomplemented
425#4044C2318yescomplemented
426#4044C2318yescomplemented
427#4043C2318yescomplemented
428#4043C2318yescomplemented
429#4043C2318yescomplemented
430#4042C2318yescomplemented
431#4042C2318yescomplemented
432#4042C2318yescomplemented
433#4042C2318yescomplemented
434#4042C2318yescomplemented
435#4042C2318yescomplemented
436#4042C2318yescomplemented
437#4042C2318yescomplemented
438#4041C2318yes—
439#4041C2318yes—
440#4041C2318yes—
441#4041C2318yes—
442#4041C2318yescomplemented
443#4041C2318yescomplemented
444#4041C2318yescomplemented
445#4041C2318yescomplemented
446#4041C2318yescomplemented
447#4041C2318yescomplemented
448#4041C2318yescomplemented
449#4041C2318yescomplemented
450#4041C2318yescomplemented
451#4040C2318yes—
452#4040C2318yes—
453#4040C2318yes—
454#4040C2318yes—
455#4040C2318yes—
456#4040C2318yes—
457#4040C2318yescomplemented
458#4040C2318yescomplemented
459#4040C2318yescomplemented
460#4040C2318yescomplemented
461#4040C2318yescomplemented
462#4040C2318yescomplemented
463#4040C2318yescomplemented
464#4040C2318yescomplemented
465#4040C2318yescomplemented
466#4040C2318yescomplemented
467#4040C2318yescomplemented
468#4040C2318yescomplemented
469#4040C2318yescomplemented
470#4040C2318yescomplemented
471#4040C2318yescomplemented
472#4039C2318yescomplemented
473#4039C2318yescomplemented
474#4039C2318yescomplemented
475#4039C2318yescomplemented
476#4039C2318yescomplemented
477#4038C2318yescomplemented
478D5×C4⋊C4C2318yescomplemented
479D5×C4⋊C4C2318yescomplemented
480#4035C2318yescomplemented
481#4035C2318yescomplemented
482#4034C2318yescomplemented
483#4034C2318yescomplemented
484#4032C2318yes—
485#4032C2318yescomplemented
486#4032C2318yescomplemented
487#4031C2318yescomplemented
488#4031C2318yescomplemented
489#4030C2318yes—
490#4030C2318yes—
491#4030C2318yescomplemented
492#4030C2318yescomplemented
493#4030C2318yescomplemented
494#4030C2318yescomplemented
495#4030C2318yescomplemented
496#4029C2318yescomplemented
497#4028C2318yes—
498#4028C2318yes—
499#4028C2318yes—
500#4028C2318yes—
501#4028C2318yes—
502#4028C2318yescomplemented
503#4028C2318yescomplemented
504#4028C2318yescomplemented
505#4028C2318yescomplemented
506#4027C2318yes—
507#4027C2318yescomplemented
508#4027C2318yescomplemented
509#4027C2318yescomplemented
510#4027C2318yescomplemented
511D5×C22⋊C4C2318yes—
512D5×C22⋊C4C2318yescomplemented
513#4024C2318yescomplemented
514#4024C2318yescomplemented
515#4023C2318yescomplemented
516#4022C2318yescomplemented
517#4022C2318yescomplemented
518#4022C2318yescomplemented
519#4021C2318yes—
520#4021C2318yescomplemented
521#4021C2318yescomplemented
522#4021C2318yescomplemented
523#4021C2318yescomplemented
524#4020C2318yes—
525#4020C2318yescomplemented
526C4×D20C2318yescomplemented
527C4×D20C2318yescomplemented
528C4×D20C2318yescomplemented
529C4×D20C2318yescomplemented
530C4×D20C2318yescomplemented
531C4×D20C2318yescomplemented
532#4018C2318yescomplemented
533#4018C2318yescomplemented
534#4016C2318yescomplemented
535C4×Dic10C2318yescomplemented
536#3533—532no—
537C2×#563—51no—
538C2×#562—51no—
539C2×#562—51no—
540C2×#560—51no—
541C2×#559—51no—
542C2×#553—51no—
543C2×#553—51no—
544C2×#552—51no—
545C2×#552D511yescharacteristic, complemented
546C2×#551—51no—
547C2×#551—51no—
548C2×#551—51no—
549C2×#547—51no—
550C2×#547—51no—
551C2×#546—51no—
552C2×#546—51no—
553C2×#542—51no—
554C2×#542—51no—
555C2×#540—51no—
556C2×#540—51no—
557C2×#539—51no—
558C2×#539—51no—
559C2×#538—51no—
560C2×#538—51no—
561C2×#538—51no—
562C2×#538—51no—
563C2×#535—51no—
564C2×#534—51no—
565C2×#525—51no—
566C2×#525—51no—
567C22×#123—51no—
568C24×C5C2411yescharacteristic
569C24×C5C2411yescharacteristic
570C23×D5—24no—
571C23×D5—24no—
572C23×D5—42no—
573C23×D5—42no—
574C23×D5—42no—
575C23×D5—42no—
576C23×D5—42no—
577C23×D5—42no—
578C23×D5—42no—
579C23×D5C2411yescharacteristic
580C23×D5C2411yescharacteristic
581C23×D5C2411yescharacteristic
582C23×D5C2411yescharacteristic
583C23×D5C2411yescharacteristic
584C23×D5C2411yescharacteristic
585C23×D5C2411yescharacteristic
586C23×D5C2414yes—
587C23×D5C2414yes—
588C23×D5C2414yes—
589C2×C5×Q8—42no—
590C2×C5×Q8C2414yes—
591C2×C5×D4—24no—
592C2×C5×D4C2414yes—
593C22×C4×C5—24no—
594C22×C4×C5—24no—
595C22×C4×C5—42no—
596C22×C4×C5—42no—
597C22×C4×C5C2411yescharacteristic
598C22×C4×C5C2411yescharacteristic
599C22×C4×C5C2411yescharacteristic
600C22×C4×C5C2411yescharacteristic
601C22×C4×C5C2411yescharacteristic
602C22×C4×C5C2411yescharacteristic
603C22×C4×C5C2411yescharacteristic
604C22×C4×C5C2411yescharacteristic
605C22×C4×C5C2411yescharacteristic
606C22×C4×C5C2411yescharacteristic
607C22×C4×C5C2411yescharacteristic
608C22×C4×C5C2411yescharacteristic
609C22×C4×C5C2411yescharacteristic
610C22×C4×C5C2414yes—
611C22×C4×C5C2414yes—
612C22×C4×C5C2414yes—
613C22×C4×C5C2414yes—
614C2×C22⋊D5—24no—
615C2×C22⋊D5—24no—
616C2×C22⋊D5—24no—
617C2×C22⋊D5—42no—
618C2×C22⋊D5—42no—
619C2×C22⋊D5—42no—
620C2×C22⋊D5—42no—
621C2×C22⋊D5—42no—
622C2×C22⋊D5C2414yes—
623C2×C22⋊D5C2414yes—
624C2×C22⋊D5C2414yes—
625C2×C22⋊D5C2414yes—
626C2×C22⋊D5C2414yes—
627C2×C22⋊D5C2414yes—
628C2×C22⋊D5C2414yes—
629C2×C22⋊D5C2414yes—
630C22×Dic5—24no—
631C22×Dic5—42no—
632C22×Dic5—42no—
633C22×Dic5C2411yescharacteristic
634C22×Dic5C2411yescharacteristic
635C22×Dic5C2411yescharacteristic
636C22×Dic5C2411yescharacteristic
637C22×Dic5C2411yescharacteristic
638C22×Dic5C2411yescharacteristic
639C22×Dic5C2411yescharacteristic
640C22×Dic5C2411yescharacteristic
641C22×Dic5C2411yescharacteristic
642C22×Dic5C2414yes—
643C22×Dic5C2414yes—
644C22×Dic5C2414yes—
645#711—416no—
646D4×D5—416no—
647#709—416no—
648#709—416no—
649C2×D20—42no—
650C2×D20—42no—
651C2×D20—42no—
652C2×D20—42no—
653C2×D20—416no—
654C2×D20—42no—
655C2×D20—42no—
656C2×D20—42no—
657C2×D20—42no—
658C2×D20—42no—
659C2×D20—42no—
660C2×D20—42no—
661C2×D20—42no—
662C2×D20—42no—
663C2×D20—42no—
664C2×D20—42no—
665C2×D20—42no—
666C2×D20—42no—
667C2×D20—42no—
668C2×D20C2414yes—
669C2×D20C2414yes—
670C2×D20C2414yes—
671C2×D20C2414yes—
672C2×D20C2414yes—
673C2×D20C2414yes—
674C2×D20C2414yes—
675C2×D20C2414yes—
676C2×D20C2414yes—
677C2×D20C2414yes—
678C2×D20C2414yes—
679C2×D20C2414yes—
680C2×D20C2414yes—
681C2×D20C2414yes—
682C2×D20C2414yes—
683C2×D20C2414yes—
684C2×D20C2414yes—
685C2×D20C2414yes—
686C2×C4×D5—42no—
687C2×C4×D5—42no—
688C2×C4×D5—42no—
689C2×C4×D5—42no—
690C2×C4×D5—416no—
691C2×C4×D5—42no—
692C2×C4×D5—42no—
693C2×C4×D5—42no—
694C2×C4×D5—42no—
695C2×C4×D5—42no—
696C2×C4×D5—42no—
697C2×C4×D5—42no—
698C2×C4×D5—42no—
699C2×C4×D5—42no—
700C2×C4×D5—42no—
701C2×C4×D5—42no—
702C2×C4×D5C2414yes—
703C2×C4×D5C2414yes—
704C2×C4×D5C2414yes—
705C2×C4×D5C2414yes—
706C2×C4×D5C2414yes—
707C2×C4×D5C2414yes—
708C2×C4×D5C2414yes—
709C2×C4×D5C2414yes—
710C2×C4×D5C2414yes—
711C2×C4×D5C2414yes—
712C2×C4×D5C2414yes—
713C2×C4×D5C2414yes—
714C2×C4×D5C2414yes—
715C2×C4×D5C2414yes—
716C2×C4×D5C2414yes—
717C2×Dic10—42no—
718C2×Dic10—42no—
719C2×Dic10—42no—
720C2×Dic10—42no—
721C2×Dic10C2414yes—
722C2×Dic10C2414yes—
723C2×Dic10C2414yes—
724C2×Dic10C2414yes—
725C5×C4⋊C4C2414yes—
726C5×C4⋊C4C2414yes—
727C5×C4⋊C4C2414yes—
728C5×C4⋊C4C2414yes—
729C5×C4⋊C4C2414yes—
730C5×C4⋊C4C2414yes—
731C5×C4⋊C4C2414yes—
732C5×C4⋊C4C2414yes—
733C5×C4⋊C4C2414yes—
734C5×C4⋊C4C2414yes—
735C5×C4⋊C4C2414yes—
736C5×C4⋊C4C2414yes—
737C5×C4⋊C4C2414yes—
738C5×C4⋊C4C2414yes—
739C5×C4⋊C4C2414yes—
740C5×C4⋊C4C2414yes—
741C5×C22⋊C4C2414yes—
742C5×C22⋊C4C2414yes—
743C5×C22⋊C4C2414yes—
744C5×C22⋊C4C2414yes—
745C5×C22⋊C4C2414yes—
746C5×C22⋊C4C2414yes—
747C5×C22⋊C4C2414yes—
748C5×C22⋊C4C2414yes—
749C42×C5C2414yes—
750C42×C5C2414yes—
751C42×C5C2414yes—
752C42×C5C2414yes—
753C42×C5C2414yes—
754C22⋊Dic5C2414yes—
755C22⋊Dic5C2414yes—
756#685C2414yes—
757#685C2414yes—
758#685C2414yes—
759#685C2414yes—
760#685C2414yes—
761#685C2414yes—
762#685C2414yes—
763#685C2414yes—
764#685C2414yes—
765#685C2414yes—
766#685C2414yes—
767#685C2414yes—
768#685C2414yes—
769#685C2414yes—
770#685C2414yes—
771#685C2414yes—
772#685C2414yes—
773#685C2414yes—
774#685C2414yes—
775#685C2414yes—
776#685C2414yes—
777#685C2414yes—
778#685C2414yes—
779#685C2414yes—
780#685C2414yes—
781#685C2414yes—
782#685C2414yes—
783#685C2414yes—
784#685C2414yes—
785#685C2414yes—
786#685C2414yes—
787#685C2414yes—
788#685C2414yes—
789#685C2414yes—
790#685C2414yes—
791#685C2414yes—
792#685C2414yes—
793#685C2414yes—
794#685C2414yes—
795#685C2414yes—
796C4⋊Dic5C2414yes—
797C4⋊Dic5C2414yes—
798C4⋊Dic5C2414yes—
799C4⋊Dic5C2414yes—
800C4⋊Dic5C2414yes—
801C4⋊Dic5C2414yes—
802#683C2414yes—
803#683C2414yes—
804#683C2414yes—
805#683C2414yes—
806#683C2414yes—
807#683C2414yes—
808#683C2414yes—
809#683C2414yes—
810#683C2414yes—
811#683C2414yes—
812#683C2414yes—
813#683C2414yes—
814#683C2414yes—
815#683C2414yes—
816#683C2414yes—
817#683C2414yes—
818C4×Dic5C2414yes—
819C4×Dic5C2414yes—
820C4×Dic5C2414yes—
821C4×Dic5C2414yes—
822C4×Dic5C2414yes—
823C22×#41—51no—
824C22×#41—51no—
825C22×#41—51no—
826C23×D4—51no—
827C23×D4—51no—
828C24×C4—51no—
829#563—516no—
830#562—516no—
831#562—516no—
832#560—516no—
833#559—516no—
834#553—516no—
835#553—516no—
836#552—516no—
837#552C2×D5116yescomplemented
838#551—516no—
839#551—516no—
840#551—516no—
841#547—516no—
842#547—516no—
843#546—516no—
844#546—516no—
845#542—516no—
846#542—516no—
847#540—516no—
848#540—516no—
849#539—516no—
850#539—516no—
851#538—516no—
852#538—516no—
853#538—516no—
854#538—516no—
855#535—516no—
856#534—516no—
857C2×C4⋊Q8—51no—
858C2×C4⋊Q8—51no—
859C2×#127—51no—
860C2×#127—51no—
861C2×#126—51no—
862C2×#126—51no—
863C2×#126—51no—
864C2×#126—51no—
865C2×#126—51no—
866C2×#126—51no—
867C2×#126—51no—
868C2×#126—51no—
869C2×#126—51no—
870C2×#126—51no—
871C2×#126C2×D511yescharacteristic, complemented
872C2×#126C2×D511yescharacteristic, complemented
873C2×#125—51no—
874C2×#125—51no—
875C2×#125—51no—
876C2×#125C2×D511yescharacteristic, complemented
877C2×#125C2×D511yescharacteristic, complemented
878C2×#125C2×D511yescharacteristic, complemented
879C2×#124—51no—
880C2×#124—51no—
881C2×#124—51no—
882C2×#124—51no—
883C2×#124—51no—
884C2×#124—51no—
885C2×#124—51no—
886C2×#124—51no—
887C2×#124—51no—
888C2×#124—51no—
889#525—516no—
890#525—516no—
891C2×#123—51no—
892C2×#123—51no—
893C2×#123—51no—
894C2×#123—51no—
895C2×#123—51no—
896C2×#123—51no—
897C2×#123—51no—
898C2×#123—51no—
899C2×#123—51no—
900C2×#123—51no—
901C2×#123—51no—
902C2×#123—51no—
903C2×#123—51no—
904C2×#123—51no—
905C2×#123—51no—
906C2×#123—51no—
907C2×#123—51no—
908C2×#123—51no—
909C2×#123—51no—
910C2×#123—51no—
911C2×#123—51no—
912C2×#123—51no—
913C2×#123—51no—
914C2×#123—51no—
915C2×#123—516no—
916C2×#123—51no—
917C2×#123—51no—
918C2×#123—51no—
919C2×#123—51no—
920C2×#123C2×D511yescharacteristic
921C2×#123C2×D511yescharacteristic
922C2×C22⋊Q8—51no—
923C2×C22⋊Q8—51no—
924C2×C22⋊Q8—51no—
925C2×C22⋊Q8—51no—
926C2×C22⋊Q8—51no—
927C2×C22⋊Q8—51no—
928C2×C22⋊Q8—51no—
929C2×C22⋊Q8—51no—
930C2×C22⋊Q8—51no—
931C2×C22⋊Q8—51no—
932C2×C22⋊Q8—51no—
933C2×C22⋊Q8—51no—
934C2×C22⋊Q8—51no—
935C2×C22⋊Q8—51no—
936C2×C22⋊Q8C2×D511yescharacteristic, complemented
937C2×C22⋊Q8C2×D511yescharacteristic, complemented
938C2×#121—51no—
939C2×#121—51no—
940C2×#121—51no—
941C2×#121—51no—
942C2×#121—51no—
943C2×#121—51no—
944C2×#121—51no—
945C2×#121—51no—
946C2×#121—51no—
947C2×#121—51no—
948C2×#121—51no—
949C2×#121—51no—
950C2×#121—51no—
951C2×#121—51no—
952C2×#121—51no—
953C2×#121—51no—
954C2×#121—51no—
955C2×#121—51no—
956C2×#121—51no—
957C2×#121—51no—
958C2×#121—51no—
959C2×#121—51no—
960C2×#121—51no—
961C2×#121—51no—
962C2×#120—51no—
963C2×#120—51no—
964C2×#120—51no—
965C2×#120—51no—
966C2×#120—51no—
967C2×#120—51no—
968C2×#120—51no—
969C2×#120—51no—
970C2×#120—51no—
971C2×#120—51no—
972C2×C4×Q8—51no—
973C2×C4×Q8C2×D511yescharacteristic, complemented
974C2×C4×D4—51no—
975C2×C4×D4—51no—
976C2×C4×D4—51no—
977C2×C4×D4—51no—
978C2×C4×D4—51no—
979C2×C4×D4—51no—
980C2×C4×D4—51no—
981C2×C4×D4—51no—
982C2×C4×D4—51no—
983C2×C4×D4—51no—
984C2×C4×D4—51no—
985C2×C4×D4—51no—
986C2×C4×D4—51no—
987C2×C4×D4—51no—
988C2×C4×D4—51no—
989C2×C4×D4—51no—
990C2×C4×D4—51no—
991C2×C4×D4C2×D511yescharacteristic
992C2×#117—51no—
993C2×#117—51no—
994C2×#117—51no—
995C2×#117—51no—
996C2×#117C2×D511yescharacteristic, complemented
997C2×#117C2×D511yescharacteristic, complemented
998C2×#117C2×D511yescharacteristic, complemented
999C22×C4⋊C4—51no—
1000C22×C4⋊C4—51no—
1001C22×C4⋊C4—51no—
1002C22×C4⋊C4C2×D511yescharacteristic, complemented
1003C22×C22⋊C4—51no—
1004C22×C22⋊C4—51no—
1005C22×C22⋊C4—51no—
1006C22×C22⋊C4—51no—
1007C22×C22⋊C4—51no—
1008C22×C22⋊C4—51no—
1009C23×C5—22no—
1010C23×C5—22no—
1011C23×C5—22no—
1012C23×C5—22no—
1013C23×C5—22no—
1014C23×C5H(5,𝔽2)14yes—
1015C23×C5C2512yes—
1016C23×C5C2512yes—
1017C23×C5C2511yescharacteristic
1018C22×D5—22no—
1019C22×D5—28no—
1020C22×D5—22no—
1021C22×D5—22no—
1022C22×D5—22no—
1023C22×D5—22no—
1024C22×D5—22no—
1025C22×D5—22no—
1026C22×D5—22no—
1027C22×D5—22no—
1028C22×D5—22no—
1029C22×D5—22no—
1030C22×D5—22no—
1031C22×D5—22no—
1032C22×D5—22no—
1033C22×D5—22no—
1034C22×D5—22no—
1035C22×D5—22no—
1036C22×D5—22no—
1037C22×D5—22no—
1038C22×D5—22no—
1039C22×D5—22no—
1040C22×D5—28no—
1041C22×D5—44no—
1042C22×D5—44no—
1043C22×D5—44no—
1044C22×D5—44no—
1045C22×D5—44no—
1046C22×D5—44no—
1047C22×D5—44no—
1048C22×D5—416no—
1049C22×D5—88no—
1050C22×D5—88no—
1051C22×D5C2512yes—
1052C22×D5C2512yes—
1053C22×D5C2512yes—
1054C22×D5C2512yes—
1055C22×D5C2512yes—
1056C22×D5C2512yes—
1057C22×D5C2512yes—
1058C5×Q8—44no—
1059C5×D4—28no—
1060C2×C4×C5—22no—
1061C2×C4×C5—22no—
1062C2×C4×C5—22no—
1063C2×C4×C5—22no—
1064C2×C4×C5—22no—
1065C2×C4×C5—28no—
1066C2×C4×C5—28no—
1067C2×C4×C5—22no—
1068C2×C4×C5—22no—
1069C2×C4×C5—22no—
1070C2×C4×C5—22no—
1071C2×C4×C5—22no—
1072C2×C4×C5—22no—
1073C2×C4×C5—22no—
1074C2×C4×C5—22no—
1075C2×C4×C5—44no—
1076C2×C4×C5—44no—
1077C2×C4×C5C2512yes—
1078C2×C4×C5C2512yes—
1079C2×C4×C5C2512yes—
1080C2×C4×C5C2512yes—
1081C2×C4×C5C2512yes—
1082C2×C4×C5C2512yes—
1083C2×C4×C5C2512yes—
1084C2×C4×C5C2512yes—
1085C2×C4×C5C2512yes—
1086C2×C4×C5C2512yes—
1087C2×C4×C5C2512yes—
1088C2×C4×C5C2512yes—
1089C2×C4×C5C2512yes—
1090C22⋊D5—28no—
1091C22⋊D5—28no—
1092C22⋊D5—28no—
1093C22⋊D5—44no—
1094C22⋊D5—44no—
1095C22⋊D5—44no—
1096C22⋊D5—44no—
1097C22⋊D5—44no—
1098C2×Dic5—22no—
1099C2×Dic5—22no—
1100C2×Dic5—22no—
1101C2×Dic5—22no—
1102C2×Dic5—22no—
1103C2×Dic5—28no—
1104C2×Dic5—22no—
1105C2×Dic5—22no—
1106C2×Dic5—22no—
1107C2×Dic5—22no—
1108C2×Dic5—44no—
1109C2×Dic5—44no—
1110C2×Dic5C2512yes—
1111C2×Dic5C2512yes—
1112C2×Dic5C2512yes—
1113C2×Dic5C2512yes—
1114C2×Dic5C2512yes—
1115C2×Dic5C2512yes—
1116C2×Dic5C2512yes—
1117C2×Dic5C2512yes—
1118C2×Dic5C2512yes—
1119D20—44no—
1120D20—44no—
1121D20—44no—
1122D20—44no—
1123D20—44no—
1124D20—44no—
1125D20—44no—
1126D20—44no—
1127D20—44no—
1128D20—44no—
1129D20—44no—
1130D20—44no—
1131D20—44no—
1132D20—44no—
1133D20—44no—
1134D20—44no—
1135D20—44no—
1136D20—44no—
1137C4×D5—44no—
1138C4×D5—44no—
1139C4×D5—44no—
1140C4×D5—44no—
1141C4×D5—44no—
1142C4×D5—44no—
1143C4×D5—44no—
1144C4×D5—44no—
1145C4×D5—44no—
1146C4×D5—44no—
1147C4×D5—44no—
1148C4×D5—44no—
1149C4×D5—44no—
1150C4×D5—44no—
1151C4×D5—44no—
1152Dic10—44no—
1153Dic10—44no—
1154Dic10—44no—
1155Dic10—44no—
1156C25—51no—
1157C25—51no—
1158C25—51no—
1159C2×#41—58no—
1160C2×#41—58no—
1161C2×#41—58no—
1162C2×#41—204no—
1163C2×#41—204no—
1164C2×#41—204no—
1165C22×Q8—51no—
1166C22×Q8—51no—
1167C22×Q8—51no—
1168C22×Q8—51no—
1169C22×Q8C22×D511yescharacteristic
1170C22×D4—51no—
1171C22×D4—51no—
1172C22×D4—51no—
1173C22×D4—51no—
1174C22×D4—51no—
1175C22×D4—51no—
1176C22×D4—51no—
1177C22×D4—51no—
1178C22×D4—58no—
1179C22×D4—51no—
1180C22×D4—51no—
1181C22×D4—51no—
1182C22×D4—51no—
1183C22×D4—51no—
1184C22×D4—51no—
1185C22×D4—51no—
1186C22×D4—51no—
1187C22×D4—51no—
1188C22×D4—51no—
1189C22×D4—51no—
1190C22×D4—51no—
1191C22×D4—51no—
1192C22×D4—51no—
1193C22×D4—51no—
1194C22×D4—51no—
1195C22×D4—51no—
1196C22×D4—51no—
1197C22×D4—58no—
1198C22×D4—204no—
1199C22×D4—204no—
1200C22×D4C22×D511yescharacteristic
1201C23×C4—51no—
1202C23×C4—51no—
1203C23×C4—51no—
1204C23×C4—51no—
1205C23×C4—51no—
1206C23×C4—51no—
1207C23×C4—51no—
1208C23×C4—51no—
1209C23×C4—51no—
1210C23×C4—51no—
1211C23×C4—51no—
1212C23×C4—51no—
1213C23×C4—51no—
1214C23×C4—51no—
1215C23×C4—51no—
1216C23×C4—51no—
1217C23×C4—51no—
1218C23×C4—51no—
1219C23×C4—58no—
1220C23×C4—204no—
1221C23×C4C22×D511yescharacteristic
1222C23×C4C22×D511yescharacteristic
1223C23×C4C22×D511yescharacteristic
1224C23×C4C22×D511yescharacteristic
1225C4⋊Q8—58no—
1226C4⋊Q8—58no—
1227#127—58no—
1228#127—58no—
1229#126—58no—
1230#126—58no—
1231#126—58no—
1232#126—58no—
1233#126—58no—
1234#126—58no—
1235#126—58no—
1236#126—58no—
1237#126—58no—
1238#126—58no—
1239#126C22×D518yescomplemented
1240#126C22×D518yescomplemented
1241#125—58no—
1242#125—58no—
1243#125—58no—
1244#125C22×D518yescomplemented
1245#125C22×D518yescomplemented
1246#125C22×D518yescomplemented
1247#124—58no—
1248#124—58no—
1249#124—58no—
1250#124—58no—
1251#124—58no—
1252#124—58no—
1253#124—58no—
1254#124—58no—
1255#124—58no—
1256#124—58no—
1257#123—58no—
1258#123—58no—
1259#123—58no—
1260#123—58no—
1261#123—58no—
1262#123—58no—
1263#123—58no—
1264#123—58no—
1265#123—58no—
1266#123—58no—
1267#123—58no—
1268#123—58no—
1269#123—58no—
1270#123—58no—
1271#123—58no—
1272#123—58no—
1273#123—58no—
1274#123—58no—
1275#123—58no—
1276#123—58no—
1277#123—58no—
1278#123—58no—
1279#123—58no—
1280#123—58no—
1281#123—58no—
1282#123—58no—
1283#123—58no—
1284#123—58no—
1285#123C22×D518yes—
1286#123C22×D518yes—
1287C22⋊Q8—58no—
1288C22⋊Q8—58no—
1289C22⋊Q8—58no—
1290C22⋊Q8—58no—
1291C22⋊Q8—58no—
1292C22⋊Q8—58no—
1293C22⋊Q8—58no—
1294C22⋊Q8—58no—
1295C22⋊Q8—58no—
1296C22⋊Q8—58no—
1297C22⋊Q8—58no—
1298C22⋊Q8—58no—
1299C22⋊Q8—58no—
1300C22⋊Q8—58no—
1301C22⋊Q8C22×D518yescomplemented
1302C22⋊Q8C22×D518yescomplemented
1303#121—58no—
1304#121—58no—
1305#121—58no—
1306#121—58no—
1307#121—58no—
1308#121—58no—
1309#121—58no—
1310#121—58no—
1311#121—58no—
1312#121—58no—
1313#121—58no—
1314#121—58no—
1315#121—58no—
1316#121—58no—
1317#121—58no—
1318#121—58no—
1319#121—58no—
1320#121—58no—
1321#121—58no—
1322#121—58no—
1323#121—58no—
1324#121—58no—
1325#121—58no—
1326#121—58no—
1327#120—58no—
1328#120—58no—
1329#120—58no—
1330#120—58no—
1331#120—58no—
1332#120—58no—
1333#120—58no—
1334#120—58no—
1335#120—58no—
1336#120—58no—
1337C4×Q8—58no—
1338C4×Q8C22×D518yescomplemented
1339C4×D4—58no—
1340C4×D4—58no—
1341C4×D4—58no—
1342C4×D4—58no—
1343C4×D4—58no—
1344C4×D4—58no—
1345C4×D4—58no—
1346C4×D4—58no—
1347C4×D4—58no—
1348C4×D4—58no—
1349C4×D4—58no—
1350C4×D4—58no—
1351C4×D4—58no—
1352C4×D4—58no—
1353C4×D4—58no—
1354C4×D4—58no—
1355C4×D4—58no—
1356C4×D4C22×D518yes—
1357#117—58no—
1358#117—58no—
1359#117—58no—
1360#117—58no—
1361#117C22×D518yescomplemented
1362#117C22×D518yescomplemented
1363#117C22×D518yescomplemented
1364C2×C4⋊C4—51no—
1365C2×C4⋊C4—51no—
1366C2×C4⋊C4—51no—
1367C2×C4⋊C4—51no—
1368C2×C4⋊C4—51no—
1369C2×C4⋊C4—51no—
1370C2×C4⋊C4—51no—
1371C2×C4⋊C4—51no—
1372C2×C4⋊C4—51no—
1373C2×C4⋊C4—58no—
1374C2×C4⋊C4—51no—
1375C2×C4⋊C4—51no—
1376C2×C4⋊C4—51no—
1377C2×C4⋊C4—51no—
1378C2×C4⋊C4—51no—
1379C2×C4⋊C4—51no—
1380C2×C4⋊C4—51no—
1381C2×C4⋊C4—51no—
1382C2×C4⋊C4—51no—
1383C2×C4⋊C4—51no—
1384C2×C4⋊C4—51no—
1385C2×C4⋊C4—51no—
1386C2×C4⋊C4—51no—
1387C2×C4⋊C4—58no—
1388C2×C4⋊C4—58no—
1389C2×C4⋊C4C22×D511yescharacteristic
1390C2×C4⋊C4C22×D511yescharacteristic
1391C2×C4⋊C4C22×D511yescharacteristic
1392C2×C4⋊C4C22×D511yescharacteristic
1393C2×C4⋊C4C22×D511yescharacteristic
1394C2×C4⋊C4C22×D511yescharacteristic
1395C2×C4⋊C4C22×D511yescharacteristic
1396C2×C4⋊C4C22×D511yescharacteristic
1397C2×C4⋊C4C22×D511yescharacteristic
1398C2×C4⋊C4C22×D511yescharacteristic
1399C2×C4⋊C4C22×D511yescharacteristic
1400C2×C4⋊C4C22×D511yescharacteristic
1401C2×C4⋊C4C22×D511yescharacteristic
1402C2×C4⋊C4C22×D511yescharacteristic
1403C2×C4⋊C4C22×D511yescharacteristic
1404C2×C4⋊C4C22×D511yescharacteristic
1405C2×C4⋊C4C22×D518yescomplemented
1406C2×C22⋊C4—51no—
1407C2×C22⋊C4—51no—
1408C2×C22⋊C4—51no—
1409C2×C22⋊C4—51no—
1410C2×C22⋊C4—51no—
1411C2×C22⋊C4—51no—
1412C2×C22⋊C4—51no—
1413C2×C22⋊C4—51no—
1414C2×C22⋊C4—51no—
1415C2×C22⋊C4—51no—
1416C2×C22⋊C4—51no—
1417C2×C22⋊C4—51no—
1418C2×C22⋊C4—51no—
1419C2×C22⋊C4—51no—
1420C2×C22⋊C4—51no—
1421C2×C22⋊C4—51no—
1422C2×C22⋊C4—51no—
1423C2×C22⋊C4—51no—
1424C2×C22⋊C4—51no—
1425C2×C22⋊C4—51no—
1426C2×C22⋊C4—58no—
1427C2×C22⋊C4—58no—
1428C2×C22⋊C4—58no—
1429C2×C22⋊C4—58no—
1430C2×C22⋊C4—51no—
1431C2×C22⋊C4—51no—
1432C2×C22⋊C4—51no—
1433C2×C22⋊C4—51no—
1434C2×C22⋊C4—51no—
1435C2×C22⋊C4—51no—
1436C2×C22⋊C4—51no—
1437C2×C22⋊C4—51no—
1438C2×C22⋊C4—51no—
1439C2×C22⋊C4—51no—
1440C2×C22⋊C4—51no—
1441C2×C22⋊C4—51no—
1442C2×C22⋊C4—51no—
1443C2×C22⋊C4—51no—
1444C2×C22⋊C4—51no—
1445C2×C22⋊C4—51no—
1446C2×C22⋊C4—51no—
1447C2×C22⋊C4—51no—
1448C2×C22⋊C4—51no—
1449C2×C22⋊C4—51no—
1450C2×C22⋊C4—51no—
1451C2×C22⋊C4—51no—
1452C2×C22⋊C4—58no—
1453C2×C22⋊C4—58no—
1454C2×C22⋊C4C22×D511yescharacteristic
1455C2×C22⋊C4C22×D511yescharacteristic
1456C2×C22⋊C4C22×D511yescharacteristic
1457C2×C22⋊C4C22×D511yescharacteristic
1458C2×C22⋊C4C22×D511yescharacteristic
1459C2×C22⋊C4C22×D511yescharacteristic
1460C2×C22⋊C4C22×D511yescharacteristic
1461C2×C22⋊C4C22×D511yescharacteristic
1462C2×C42—51no—
1463C2×C42—51no—
1464C2×C42—51no—
1465C2×C42—51no—
1466C2×C42—51no—
1467C2×C42C22×D511yescharacteristic
1468C2×C42C22×D511yescharacteristic
1469C2×C42C22×D511yescharacteristic
1470C2×C42C22×D511yescharacteristic
1471C2×C42C22×D511yescharacteristic
1472C22×C5—22no—
1473C22×C5—22no—
1474C22×C5—28no—
1475C22×C5—22no—
1476C22×C5—22no—
1477C22×C5—22no—
1478C22×C5—44no—
1479C22×C5C2×H(5,𝔽2)14yes—
1480C22×C5C2×H(5,𝔽2)12yes—
1481C22×C5#58512yes—
1482C22×C5#58512yes—
1483C22×C5C2611yescharacteristic
1484C2×D5—22no—
1485C2×D5—22no—
1486C2×D5—22no—
1487C2×D5—22no—
1488C2×D5—22no—
1489C2×D5—22no—
1490C2×D5—22no—
1491C2×D5—22no—
1492C2×D5—22no—
1493C2×D5—22no—
1494C2×D5—22no—
1495C2×D5—22no—
1496C2×D5—22no—
1497C2×D5—22no—
1498C2×D5—22no—
1499C2×D5—22no—
1500C2×D5—22no—
1501C2×D5—22no—
1502C2×D5—22no—
1503C2×D5—22no—
1504C2×D5—22no—
1505C2×D5—416no—
1506C2×D5—44no—
1507C2×D5—44no—
1508C2×D5—44no—
1509C2×D5—44no—
1510C2×D5—44no—
1511C2×D5—44no—
1512C2×D5—44no—
1513C2×D5—88no—
1514C2×D5—88no—
1515C4×C5—22no—
1516C4×C5—22no—
1517C4×C5—22no—
1518C4×C5—22no—
1519C4×C5—22no—
1520C4×C5—22no—
1521C4×C5—22no—
1522C4×C5—22no—
1523C4×C5—22no—
1524C4×C5—22no—
1525C4×C5—22no—
1526C4×C5—22no—
1527C4×C5—22no—
1528Dic5—22no—
1529Dic5—22no—
1530Dic5—22no—
1531Dic5—22no—
1532Dic5—22no—
1533Dic5—22no—
1534Dic5—22no—
1535Dic5—22no—
1536Dic5—22no—
1537C24—51no—
1538C24—51no—
1539C24—51no—
1540C24—51no—
1541C24—51no—
1542C24—51no—
1543C24—51no—
1544C24—54no—
1545C24—54no—
1546C24—54no—
1547C24—104no—
1548C24—104no—
1549C24—202no—
1550C24—202no—
1551C24—202no—
1552C24—202no—
1553C24—202no—
1554C24—202no—
1555C24—202no—
1556C24C23×D511yescharacteristic
1557C24C23×D511yescharacteristic
1558#41—2016no—
1559#41—2016no—
1560#41—2016no—
1561C2×Q8—42no—
1562C2×Q8—54no—
1563C2×Q8—54no—
1564C2×Q8—54no—
1565C2×Q8—54no—
1566C2×Q8—202no—
1567C2×Q8—202no—
1568C2×Q8—202no—
1569C2×Q8—202no—
1570C2×Q8C23×D514yes—
1571C2×D4—24no—
1572C2×D4—54no—
1573C2×D4—54no—
1574C2×D4—54no—
1575C2×D4—54no—
1576C2×D4—54no—
1577C2×D4—54no—
1578C2×D4—54no—
1579C2×D4—54no—
1580C2×D4—54no—
1581C2×D4—54no—
1582C2×D4—54no—
1583C2×D4—54no—
1584C2×D4—54no—
1585C2×D4—54no—
1586C2×D4—54no—
1587C2×D4—54no—
1588C2×D4—54no—
1589C2×D4—54no—
1590C2×D4—54no—
1591C2×D4—54no—
1592C2×D4—54no—
1593C2×D4—54no—
1594C2×D4—54no—
1595C2×D4—54no—
1596C2×D4—54no—
1597C2×D4—54no—
1598C2×D4—104no—
1599C2×D4—104no—
1600C2×D4—104no—
1601C2×D4—202no—
1602C2×D4—202no—
1603C2×D4—202no—
1604C2×D4—202no—
1605C2×D4—2016no—
1606C2×D4—202no—
1607C2×D4—202no—
1608C2×D4—202no—
1609C2×D4—202no—
1610C2×D4—202no—
1611C2×D4—202no—
1612C2×D4—202no—
1613C2×D4—202no—
1614C2×D4—202no—
1615C2×D4—202no—
1616C2×D4—202no—
1617C2×D4—202no—
1618C2×D4—202no—
1619C2×D4—202no—
1620C2×D4—202no—
1621C2×D4—202no—
1622C2×D4—202no—
1623C2×D4—202no—
1624C2×D4—202no—
1625C2×D4—2016no—
1626C2×D4C23×D514yes—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—54no—
1632C22×C4—51no—
1633C22×C4—51no—
1634C22×C4—51no—
1635C22×C4—51no—
1636C22×C4—51no—
1637C22×C4—51no—
1638C22×C4—51no—
1639C22×C4—51no—
1640C22×C4—51no—
1641C22×C4—54no—
1642C22×C4—54no—
1643C22×C4—54no—
1644C22×C4—54no—
1645C22×C4—54no—
1646C22×C4—54no—
1647C22×C4—54no—
1648C22×C4—54no—
1649C22×C4—54no—
1650C22×C4—54no—
1651C22×C4—54no—
1652C22×C4—54no—
1653C22×C4—54no—
1654C22×C4—54no—
1655C22×C4—54no—
1656C22×C4—54no—
1657C22×C4—54no—
1658C22×C4—104no—
1659C22×C4—202no—
1660C22×C4—202no—
1661C22×C4—202no—
1662C22×C4—202no—
1663C22×C4—2016no—
1664C22×C4—202no—
1665C22×C4—202no—
1666C22×C4—202no—
1667C22×C4—202no—
1668C22×C4—202no—
1669C22×C4—202no—
1670C22×C4—202no—
1671C22×C4—202no—
1672C22×C4—202no—
1673C22×C4—202no—
1674C22×C4—202no—
1675C22×C4—202no—
1676C22×C4—202no—
1677C22×C4C23×D514yes—
1678C22×C4C23×D514yes—
1679C22×C4C23×D511yescharacteristic
1680C22×C4C23×D511yescharacteristic
1681C22×C4C23×D511yescharacteristic
1682C22×C4C23×D511yescharacteristic
1683C22×C4C23×D511yescharacteristic
1684C22×C4C23×D511yescharacteristic
1685C22×C4C23×D511yescharacteristic
1686C22×C4C23×D511yescharacteristic
1687C22×C4C23×D511yescharacteristic
1688C22×C4C23×D511yescharacteristic
1689C22×C4C23×D511yescharacteristic
1690C22×C4C23×D511yescharacteristic
1691C22×C4C23×D511yescharacteristic
1692C22×C4C23×D514yes—
1693C22×C4C23×D514yes—
1694C4⋊C4—54no—
1695C4⋊C4—54no—
1696C4⋊C4—54no—
1697C4⋊C4—54no—
1698C4⋊C4—54no—
1699C4⋊C4—54no—
1700C4⋊C4—54no—
1701C4⋊C4—54no—
1702C4⋊C4—54no—
1703C4⋊C4—54no—
1704C4⋊C4—54no—
1705C4⋊C4—54no—
1706C4⋊C4—54no—
1707C4⋊C4—54no—
1708C4⋊C4—54no—
1709C4⋊C4—54no—
1710C4⋊C4—54no—
1711C4⋊C4—54no—
1712C4⋊C4—54no—
1713C4⋊C4—54no—
1714C4⋊C4—54no—
1715C4⋊C4—54no—
1716C4⋊C4C23×D514yes—
1717C4⋊C4C23×D514yes—
1718C4⋊C4C23×D514yes—
1719C4⋊C4C23×D514yes—
1720C4⋊C4C23×D514yes—
1721C4⋊C4C23×D514yes—
1722C4⋊C4C23×D514yes—
1723C4⋊C4C23×D514yes—
1724C4⋊C4C23×D514yes—
1725C4⋊C4C23×D514yes—
1726C4⋊C4C23×D514yes—
1727C4⋊C4C23×D514yes—
1728C4⋊C4C23×D514yes—
1729C4⋊C4C23×D514yes—
1730C4⋊C4C23×D514yes—
1731C4⋊C4C23×D514yes—
1732C22⋊C4—54no—
1733C22⋊C4—54no—
1734C22⋊C4—54no—
1735C22⋊C4—54no—
1736C22⋊C4—54no—
1737C22⋊C4—54no—
1738C22⋊C4—54no—
1739C22⋊C4—54no—
1740C22⋊C4—54no—
1741C22⋊C4—54no—
1742C22⋊C4—54no—
1743C22⋊C4—54no—
1744C22⋊C4—54no—
1745C22⋊C4—54no—
1746C22⋊C4—54no—
1747C22⋊C4—54no—
1748C22⋊C4—54no—
1749C22⋊C4—54no—
1750C22⋊C4—54no—
1751C22⋊C4—54no—
1752C22⋊C4—54no—
1753C22⋊C4—54no—
1754C22⋊C4—54no—
1755C22⋊C4—54no—
1756C22⋊C4—54no—
1757C22⋊C4—54no—
1758C22⋊C4—54no—
1759C22⋊C4—54no—
1760C22⋊C4—54no—
1761C22⋊C4—54no—
1762C22⋊C4—54no—
1763C22⋊C4—54no—
1764C22⋊C4—54no—
1765C22⋊C4—54no—
1766C22⋊C4—54no—
1767C22⋊C4—54no—
1768C22⋊C4—54no—
1769C22⋊C4—54no—
1770C22⋊C4—54no—
1771C22⋊C4—54no—
1772C22⋊C4—54no—
1773C22⋊C4—54no—
1774C22⋊C4C23×D514yes—
1775C22⋊C4C23×D514yes—
1776C22⋊C4C23×D514yes—
1777C22⋊C4C23×D514yes—
1778C22⋊C4C23×D514yes—
1779C22⋊C4C23×D514yes—
1780C22⋊C4C23×D514yes—
1781C22⋊C4C23×D514yes—
1782C42—54no—
1783C42—54no—
1784C42—54no—
1785C42—54no—
1786C42—54no—
1787C42C23×D514yes—
1788C42C23×D514yes—
1789C42C23×D514yes—
1790C42C23×D514yes—
1791C42C23×D514yes—
1792C2×C5—24no—
1793C2×C5—42no—
1794C2×C5#353314yescomplemented
1795C2×C5C22×H(5,𝔽2)11yescharacteristic
1796C2×C5C2×#58511yescharacteristic
1797C2×C5C2×#58511yescharacteristic
1798D5—42no—
1799D5—42no—
1800D5—42no—
1801D5—42no—
1802D5—42no—
1803D5—42no—
1804D5—42no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—52no—
1811C23—52no—
1812C23—52no—
1813C23—52no—
1814C23—52no—
1815C23—52no—
1816C23—52no—
1817C23—102no—
1818C23—102no—
1819C23—108no—
1820C23—102no—
1821C23—102no—
1822C23—102no—
1823C23—102no—
1824C23—102no—
1825C23—102no—
1826C23—102no—
1827C23—102no—
1828C23—102no—
1829C23—102no—
1830C23—102no—
1831C23—102no—
1832C23—102no—
1833C23—102no—
1834C23—102no—
1835C23—102no—
1836C23—102no—
1837C23—102no—
1838C23—102no—
1839C23—108no—
1840C23—204no—
1841C23—204no—
1842C23—204no—
1843C23—204no—
1844C23—204no—
1845C23—204no—
1846C23—204no—
1847C23—2016no—
1848C23—408no—
1849C23—408no—
1850C23#414914yes—
1851C23C24×D512yes—
1852C23C24×D512yes—
1853C23C24×D511yescharacteristic
1854Q8—44no—
1855Q8—204no—
1856Q8—204no—
1857Q8—204no—
1858Q8—204no—
1859D4—28no—
1860D4—108no—
1861D4—108no—
1862D4—108no—
1863D4—204no—
1864D4—204no—
1865D4—204no—
1866D4—204no—
1867D4—204no—
1868D4—204no—
1869D4—204no—
1870D4—204no—
1871D4—204no—
1872D4—204no—
1873D4—204no—
1874D4—204no—
1875D4—204no—
1876D4—204no—
1877D4—204no—
1878D4—204no—
1879D4—204no—
1880D4—204no—
1881D4—204no—
1882D4—204no—
1883D4—204no—
1884D4—204no—
1885D4—204no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—28no—
1890C2×C4—22no—
1891C2×C4—28no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—52no—
1904C2×C4—52no—
1905C2×C4—52no—
1906C2×C4—52no—
1907C2×C4—52no—
1908C2×C4—52no—
1909C2×C4—52no—
1910C2×C4—52no—
1911C2×C4—52no—
1912C2×C4—102no—
1913C2×C4—102no—
1914C2×C4—108no—
1915C2×C4—102no—
1916C2×C4—102no—
1917C2×C4—102no—
1918C2×C4—102no—
1919C2×C4—102no—
1920C2×C4—102no—
1921C2×C4—102no—
1922C2×C4—204no—
1923C2×C4—204no—
1924C2×C4—204no—
1925C2×C4—204no—
1926C2×C4—204no—
1927C2×C4—204no—
1928C2×C4—204no—
1929C2×C4—204no—
1930C2×C4—204no—
1931C2×C4—204no—
1932C2×C4—204no—
1933C2×C4—204no—
1934C2×C4—204no—
1935C2×C4—204no—
1936C2×C4—204no—
1937C2×C4—204no—
1938C2×C4—204no—
1939C2×C4C24×D512yes—
1940C2×C4C24×D512yes—
1941C2×C4C24×D512yes—
1942C2×C4C24×D512yes—
1943C2×C4C24×D512yes—
1944C2×C4C24×D512yes—
1945C2×C4C24×D512yes—
1946C2×C4C24×D512yes—
1947C2×C4C24×D512yes—
1948C2×C4C24×D512yes—
1949C2×C4C24×D512yes—
1950C2×C4C24×D512yes—
1951C2×C4C24×D512yes—
1952C5C2×#353311yescharacteristic, complemented, Sylow
1953C22—22no—
1954C22—22no—
1955C22—28no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—44no—
1960C22—102no—
1961C22—102no—
1962C22—102no—
1963C22—102no—
1964C22—102no—
1965C22—102no—
1966C22—102no—
1967C22—102no—
1968C22—102no—
1969C22—102no—
1970C22—102no—
1971C22—102no—
1972C22—102no—
1973C22—102no—
1974C22—102no—
1975C22—102no—
1976C22—102no—
1977C22—102no—
1978C22—102no—
1979C22—102no—
1980C22—102no—
1981C22—2016no—
1982C22—204no—
1983C22—204no—
1984C22—204no—
1985C22—204no—
1986C22—204no—
1987C22—204no—
1988C22—204no—
1989C22—408no—
1990C22—408no—
1991C22C2×#414914yes—
1992C22C2×#414912yes—
1993C22#6628312yes—
1994C22#6628712yes—
1995C22C25×D511yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—22no—
2009C4—102no—
2010C4—102no—
2011C4—102no—
2012C4—102no—
2013C4—102no—
2014C4—102no—
2015C4—102no—
2016C4—102no—
2017C4—102no—
2018C2—24no—
2019C2—42no—
2020C2—202no—
2021C2—202no—
2022C2—202no—
2023C2—202no—
2024C2—202no—
2025C2—202no—
2026C2—202no—
2027C2#1061876514yesdirect product factor
2028C2C22×#414911yescharacteristic
2029C2C2×#6628311yescharacteristic
2030C2C2×#6628711yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#552C2
socleC23×C5C25
hypercenterC2×#552D5
hypocenterC5C2×#3533
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. C2×C5×#552C2semidirect
2. #10618765C2direct (N × H)
3. C2×#66045C2semidirect
4. C2×#66038C2semidirect
5. C2×#66043C2semidirect
6. C2×#66044C2semidirect
7. C2×#66033C2semidirect
8. C2×#66034C2semidirect
9. C2×#66029C2semidirect
10. C2×#66032C2semidirect
11. C2×#66026C2semidirect
12. C2×#66026C2semidirect
13. C2×#65989C2semidirect
14. C2×#65988C2semidirect
15. C2×#65987C2semidirect
16. C2×#65990C2semidirect
17. C2×#65981C2semidirect
18. C2×#65971C2semidirect
19. C2×#65978C2semidirect
20. C2×#65978C2semidirect
21. C2×#65916C2semidirect
22. C2×#65919C2semidirect
23. C2×#65888C2semidirect
24. C2×#65894C2semidirect
25. C2×#65861C2semidirect
26. C2×#65861C2semidirect
27. C2×#65869C2semidirect
28. C2×#65859C2semidirect
29. C2×#65858C2semidirect
30. C2×#65865C2semidirect
31. C2×#65841C2semidirect
32. C22×#4040C2semidirect
36. C22×#709C22semidirect
38. C23×C4×D5C22semidirect
39. C5×#552C22semidirect
40. C2×C5×#126C22semidirect
41. C2×C5×#126C22semidirect
42. C2×C5×#125C22semidirect
43. C2×C5×#125C22semidirect
44. C2×C5×#125C22semidirect
47. C2×C5×C22⋊Q8C22semidirect
48. C2×C5×C22⋊Q8C22semidirect
49. C2×C4×C5×Q8C22semidirect
51. C2×C5×#117C22semidirect
52. C2×C5×#117C22semidirect
53. C2×C5×#117C22semidirect
54. C22×C5×C4⋊C4C22semidirect
55. C2×#4093C22semidirect
56. C2×#4093C22semidirect
57. C2×#4093C22semidirect
58. C2×#4092C22semidirect
62. C2×#4076C22semidirect
63. C2×#4076C22semidirect
65. C2×#4075C22semidirect
66. C2×#4075C22semidirect
67. C2×C4×C22⋊D5C22semidirect
70. C22×#685C22semidirect
71. C22×#685C22semidirect
72. C22×#683C22semidirect
73. #66045C22semidirect
74. #66044C22semidirect
75. #66043C22semidirect
76. #66038C22semidirect
77. #66034C22semidirect
78. #66033C22semidirect
79. #66032C22semidirect
80. #66029C22semidirect
81. #66026C22semidirect
82. #66026C22semidirect
83. #65990C22semidirect
84. #65989C22semidirect
85. #65988C22semidirect
86. #65987C22semidirect
87. #65981C22semidirect
88. #65978C22semidirect
89. #65978C22semidirect
90. #65971C22semidirect
91. #65919C22semidirect
92. #65916C22semidirect
93. #65894C22semidirect
94. #65888C22semidirect
95. #65869C22semidirect
96. #65865C22semidirect
97. #65861C22semidirect
98. #65861C22semidirect
99. #65859C22semidirect
100. #65858C22semidirect
101. C2×#4044C22semidirect
102. C2×#4044C22semidirect
103. C2×#4044C22semidirect
104. C2×#4044C22semidirect
105. C2×#4044C22semidirect
106. C2×#4044C22semidirect
107. C2×#4044C22semidirect
108. C2×#4043C22semidirect
109. C2×#4043C22semidirect
110. C2×#4043C22semidirect
111. C2×#4042C22semidirect
112. C2×#4042C22semidirect
113. C2×#4042C22semidirect
114. C2×#4042C22semidirect
115. C2×#4042C22semidirect
116. C2×#4042C22semidirect
117. C2×#4042C22semidirect
118. C2×#4042C22semidirect
119. #65841C22semidirect
124. C2×#4041C22semidirect
125. C2×#4041C22semidirect
126. C2×#4041C22semidirect
127. C2×#4041C22semidirect
128. C2×#4041C22semidirect
129. C2×#4041C22semidirect
130. C2×#4041C22semidirect
131. C2×#4041C22semidirect
132. C2×#4041C22semidirect
139. C2×#4040C22semidirect
140. C2×#4040C22semidirect
141. C2×#4040C22semidirect
142. C2×#4040C22semidirect
143. C2×#4040C22semidirect
144. C2×#4040C22semidirect
145. C2×#4040C22semidirect
146. C2×#4040C22semidirect
147. C2×#4040C22semidirect
148. C2×#4040C22semidirect
149. C2×#4040C22semidirect
150. C2×#4040C22semidirect
151. C2×#4040C22semidirect
152. C2×#4040C22semidirect
153. C2×#4040C22semidirect
154. C2×#4040C22semidirect
155. C2×#4039C22semidirect
156. C2×#4039C22semidirect
157. C2×#4039C22semidirect
158. C2×#4039C22semidirect
159. C2×#4039C22semidirect
160. C2×#4038C22semidirect
161. C2×D5×C4⋊C4C22semidirect
162. C2×D5×C4⋊C4C22semidirect
163. C2×#4035C22semidirect
164. C2×#4035C22semidirect
165. C2×#4034C22semidirect
166. C2×#4034C22semidirect
168. C2×#4032C22semidirect
169. C2×#4032C22semidirect
170. C2×#4031C22semidirect
171. C2×#4031C22semidirect
174. C2×#4030C22semidirect
175. C2×#4030C22semidirect
176. C2×#4030C22semidirect
177. C2×#4030C22semidirect
178. C2×#4030C22semidirect
179. C2×#4029C22semidirect
185. C2×#4028C22semidirect
186. C2×#4028C22semidirect
187. C2×#4028C22semidirect
188. C2×#4028C22semidirect
190. C2×#4027C22semidirect
191. C2×#4027C22semidirect
192. C2×#4027C22semidirect
193. C2×#4027C22semidirect
195. C2×D5×C22⋊C4C22semidirect
196. C2×#4024C22semidirect
197. C2×#4024C22semidirect
198. C2×#4023C22semidirect
199. C2×#4022C22semidirect
200. C2×#4022C22semidirect
201. C2×#4022C22semidirect
203. C2×#4021C22semidirect
204. C2×#4021C22semidirect
205. C2×#4021C22semidirect
206. C2×#4021C22semidirect
208. C2×#4020C22semidirect
209. C2×C4×D20C22semidirect
210. C2×C4×D20C22semidirect
211. C2×C4×D20C22semidirect
212. C2×C4×D20C22semidirect
213. C2×C4×D20C22semidirect
214. C2×C4×D20C22semidirect
215. C2×#4018C22semidirect
216. C2×#4018C22semidirect
217. C2×#4016C22semidirect
218. C2×C4×Dic10C22semidirect
247. C2×#709C23semidirect
284. C22×C4×D5C23semidirect
289. C5×#126C23semidirect
290. C5×#126C23semidirect
291. C5×#125C23semidirect
292. C5×#125C23semidirect
293. C5×#125C23semidirect
296. C5×C22⋊Q8C23semidirect
297. C5×C22⋊Q8C23semidirect
298. C4×C5×Q8C23semidirect
300. C5×#117C23semidirect
301. C5×#117C23semidirect
302. C5×#117C23semidirect
319. C2×C5×C4⋊C4C23semidirect
335. #4093C23semidirect
336. #4093C23semidirect
337. #4093C23semidirect
338. #4092C23semidirect
342. #4076C23semidirect
343. #4076C23semidirect
345. #4075C23semidirect
346. #4075C23semidirect
347. C4×C22⋊D5C23semidirect
390. C2×#685C23semidirect
391. C2×#685C23semidirect
414. C2×#683C23semidirect
420. #4044C23semidirect
421. #4044C23semidirect
422. #4044C23semidirect
423. #4044C23semidirect
424. #4044C23semidirect
425. #4044C23semidirect
426. #4044C23semidirect
427. #4043C23semidirect
428. #4043C23semidirect
429. #4043C23semidirect
430. #4042C23semidirect
431. #4042C23semidirect
432. #4042C23semidirect
433. #4042C23semidirect
434. #4042C23semidirect
435. #4042C23semidirect
436. #4042C23semidirect
437. #4042C23semidirect
442. #4041C23semidirect
443. #4041C23semidirect
444. #4041C23semidirect
445. #4041C23semidirect
446. #4041C23semidirect
447. #4041C23semidirect
448. #4041C23semidirect
449. #4041C23semidirect
450. #4041C23semidirect
457. #4040C23semidirect
458. #4040C23semidirect
459. #4040C23semidirect
460. #4040C23semidirect
461. #4040C23semidirect
462. #4040C23semidirect
463. #4040C23semidirect
464. #4040C23semidirect
465. #4040C23semidirect
466. #4040C23semidirect
467. #4040C23semidirect
468. #4040C23semidirect
469. #4040C23semidirect
470. #4040C23semidirect
471. #4040C23semidirect
472. #4039C23semidirect
473. #4039C23semidirect
474. #4039C23semidirect
475. #4039C23semidirect
476. #4039C23semidirect
477. #4038C23semidirect
478. D5×C4⋊C4C23semidirect
479. D5×C4⋊C4C23semidirect
480. #4035C23semidirect
481. #4035C23semidirect
482. #4034C23semidirect
483. #4034C23semidirect
485. #4032C23semidirect
486. #4032C23semidirect
487. #4031C23semidirect
488. #4031C23semidirect
491. #4030C23semidirect
492. #4030C23semidirect
493. #4030C23semidirect
494. #4030C23semidirect
495. #4030C23semidirect
496. #4029C23semidirect
502. #4028C23semidirect
503. #4028C23semidirect
504. #4028C23semidirect
505. #4028C23semidirect
507. #4027C23semidirect
508. #4027C23semidirect
509. #4027C23semidirect
510. #4027C23semidirect
512. D5×C22⋊C4C23semidirect
513. #4024C23semidirect
514. #4024C23semidirect
515. #4023C23semidirect
516. #4022C23semidirect
517. #4022C23semidirect
518. #4022C23semidirect
520. #4021C23semidirect
521. #4021C23semidirect
522. #4021C23semidirect
523. #4021C23semidirect
525. #4020C23semidirect
526. C4×D20C23semidirect
527. C4×D20C23semidirect
528. C4×D20C23semidirect
529. C4×D20C23semidirect
530. C4×D20C23semidirect
531. C4×D20C23semidirect
532. #4018C23semidirect
533. #4018C23semidirect
534. #4016C23semidirect
535. C4×Dic10C23semidirect
545. C2×#552D5semidirect
837. #552C2×D5semidirect
871. C2×#126C2×D5semidirect
872. C2×#126C2×D5semidirect
876. C2×#125C2×D5semidirect
877. C2×#125C2×D5semidirect
878. C2×#125C2×D5semidirect
936. C2×C22⋊Q8C2×D5semidirect
937. C2×C22⋊Q8C2×D5semidirect
973. C2×C4×Q8C2×D5semidirect
996. C2×#117C2×D5semidirect
997. C2×#117C2×D5semidirect
998. C2×#117C2×D5semidirect
1002. C22×C4⋊C4C2×D5semidirect
1239. #126C22×D5semidirect
1240. #126C22×D5semidirect
1244. #125C22×D5semidirect
1245. #125C22×D5semidirect
1246. #125C22×D5semidirect
1301. C22⋊Q8C22×D5semidirect
1302. C22⋊Q8C22×D5semidirect
1338. C4×Q8C22×D5semidirect
1361. #117C22×D5semidirect
1362. #117C22×D5semidirect
1363. #117C22×D5semidirect
1405. C2×C4⋊C4C22×D5semidirect
1794. C2×C5#3533semidirect
1952. C5C2×#3533semidirect
2027. C2#10618765direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5522
#106187652
C2×#660452
C2×#660382
C2×#660432
C2×#660442
C2×#660332
C2×#660342
C2×#660292
C2×#660322
C2×#660262
C2×#659892
C2×#659882
C2×#659872
C2×#659902
C2×#659812
C2×#659712
C2×#659782
C2×#659162
C2×#659192
C2×#658882
C2×#658942
C2×#658612
C2×#658692
C2×#658592
C2×#658582
C2×#658652
C2×#658412
C22×#40402
C2×#35335