Finite Group Databasebeta

← C2×#10618596 #13006656

Subgroups — C2×#10618596 #13006656

Order 1280.

7194 conjugacy classes of subgroups.

The subgroup lattice has 1956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#547C211yesmaximal, characteristic, complemented
2C2×#66167C211yesmaximal, characteristic, complemented
3C2×#66158C211yesmaximal, characteristic, complemented
4C2×#66158C211yesmaximal, characteristic, complemented
5C2×#66166C211yesmaximal, characteristic, complemented
6#10618596C2132yesmaximal, direct product factor
7C2×#66069C211yesmaximal, characteristic, complemented
8C2×#66063C211yesmaximal, characteristic, complemented
9C2×#65989C211yesmaximal, characteristic, complemented
10C2×#65989C211yesmaximal, characteristic, complemented
11C2×#65994C211yesmaximal, characteristic, complemented
12C2×#65985C211yesmaximal, characteristic, complemented
13C2×#65995C211yesmaximal, characteristic, complemented
14C2×#65997C211yesmaximal, characteristic, complemented
15C2×#65999C211yesmaximal, characteristic, complemented
16C2×#65983C211yesmaximal, characteristic, complemented
17C2×#65981C211yesmaximal, characteristic, complemented
18C2×#65972C211yesmaximal, characteristic, complemented
19C2×#65970C211yesmaximal, characteristic, complemented
20C2×#65957C211yesmaximal, characteristic, complemented
21C2×#65955C211yesmaximal, characteristic, complemented
22C2×#65935C211yesmaximal, characteristic, complemented
23C2×#65949C211yesmaximal, characteristic, complemented
24C2×#65931C211yesmaximal, characteristic, complemented
25C2×#65874C211yesmaximal, characteristic, complemented
26C2×#65874C211yesmaximal, characteristic, complemented
27C2×#65898C211yesmaximal, characteristic, complemented
28C2×#65898C211yesmaximal, characteristic, complemented
29C2×#65841C211yesmaximal, characteristic, complemented
30C2×#65849C211yesmaximal, characteristic, complemented
31C2×#65845C211yesmaximal, characteristic, complemented
32C22×#4035C211yesmaximal, characteristic, complemented
33C22×C5×#41C2211yescharacteristic
34C22×C5×#41C2211yescharacteristic
35C22×#711C2211yescharacteristic
36C22×#711C2211yescharacteristic
37C22×#709C2211yescharacteristic
38C22×#709C2211yescharacteristic
39C5×#547C22116yescomplemented
40C2×C5×C4⋊Q8C2211yescharacteristic
41C2×C5×#123C2211yescharacteristic
42C2×C5×#123C2211yescharacteristic
43C2×C5×#123C2211yescharacteristic
44C2×C5×#123C2211yescharacteristic
45C2×C5×C22⋊Q8C2211yescharacteristic
46C2×C5×C22⋊Q8C2211yescharacteristic
47C2×C5×#121C2211yescharacteristic
48C2×C5×#121C2211yescharacteristic
49C2×C4×C5×D4C2211yescharacteristic
50C2×C4×C5×D4C2211yescharacteristic
51C22×C5×C4⋊C4C2211yescharacteristic
52C22×C5×C4⋊C4C2211yescharacteristic
53#66167C22116yescomplemented
54#66166C22116yescomplemented
55#66158C22116yescomplemented
56#66158C22116yescomplemented
57C2×#4093C2211yescharacteristic
58C2×#4092C2211yescharacteristic
59C2×#4092C2211yescharacteristic
60C2×#4092C2211yescharacteristic
61C2×#4092C2211yescharacteristic
62C2×#4090C2211yescharacteristic
63C2×#4090C2211yescharacteristic
64C2×#4090C2211yescharacteristic
65C2×#4086C2211yescharacteristic
66C2×#4085C2211yescharacteristic
67C2×#4085C2211yescharacteristic
68C2×#4085C2211yescharacteristic
69C2×#4085C2211yescharacteristic
70C2×#4085C2211yescharacteristic
71C2×#4085C2211yescharacteristic
72C2×#4085C2211yescharacteristic
73C2×#4085C2211yescharacteristic
74C2×#4085C2211yescharacteristic
75C2×#4085C2211yescharacteristic
76C2×#4085C2211yescharacteristic
77C2×#4085C2211yescharacteristic
78C2×#4084C2211yescharacteristic
79C2×#4084C2211yescharacteristic
80C2×#4082C2211yescharacteristic
81C2×#4081C2211yescharacteristic
82C2×#4081C2211yescharacteristic
83C2×#4081C2211yescharacteristic
84C2×#4081C2211yescharacteristic
85C2×D4×Dic5C2211yescharacteristic
86C2×D4×Dic5C2211yescharacteristic
87C2×#4076C2211yescharacteristic
88C2×#4076C2211yescharacteristic
89C2×#4076C2211yescharacteristic
90C2×#4075C2211yescharacteristic
91C2×#4075C2211yescharacteristic
92C2×#4075C2211yescharacteristic
93C2×#4075C2211yescharacteristic
94C2×#4075C2211yescharacteristic
95C2×#4075C2211yescharacteristic
96C2×C4×C22⋊D5C2211yescharacteristic
97C2×C4×C22⋊D5C2211yescharacteristic
98C2×C4×C22⋊D5C2211yescharacteristic
99C2×C4×C22⋊D5C2211yescharacteristic
100C2×C4×C22⋊D5C2211yescharacteristic
101C2×C4×C22⋊D5C2211yescharacteristic
102C2×C4×C22⋊D5C2211yescharacteristic
103C2×C4×C22⋊D5C2211yescharacteristic
104C22×C4⋊Dic5C2211yescharacteristic
105C2×#4070C2211yescharacteristic
106C2×#4070C2211yescharacteristic
107C2×#4070C2211yescharacteristic
108C2×#4070C2211yescharacteristic
109C2×#4070C2211yescharacteristic
110C22×#683C2211yescharacteristic
111C22×#683C2211yescharacteristic
112C22×#683C2211yescharacteristic
113C22×#683C2211yescharacteristic
114C22×#683C2211yescharacteristic
115C22×#683C2211yescharacteristic
116C22×C4×Dic5C2211yescharacteristic
117#66069C22116yescomplemented
118#66063C22116yescomplemented
119#65999C22116yescomplemented
120#65997C22116yescomplemented
121#65995C22116yescomplemented
122#65994C22116yescomplemented
123#65989C22116yescomplemented
124#65989C22116yescomplemented
125#65985C22116yescomplemented
126#65983C22116yescomplemented
127#65981C22116yescomplemented
128#65972C22116yescomplemented
129#65970C22116yescomplemented
130#65957C22116yescomplemented
131#65955C22116yescomplemented
132#65949C22116yescomplemented
133#65935C22116yescomplemented
134#65931C22116yescomplemented
135#65898C22116yescomplemented
136#65898C22116yescomplemented
137#65874C22116yescomplemented
138#65874C22116yescomplemented
139#65849C22116yescomplemented
140C2×#4044C2211yescharacteristic
141C2×#4044C2211yescharacteristic
142C2×#4044C2211yescharacteristic
143#65845C22116yescomplemented
144C2×#4043C2211yescharacteristic
145C2×#4042C2211yescharacteristic
146C2×#4042C2211yescharacteristic
147C2×#4042C2211yescharacteristic
148C2×#4042C2211yescharacteristic
149C2×#4042C2211yescharacteristic
150C2×#4042C2211yescharacteristic
151C2×#4042C2211yescharacteristic
152#65841C22116yescomplemented
153C2×#4041C2211yescharacteristic
154C2×#4040C2211yescharacteristic
155C2×#4040C2211yescharacteristic
156C2×#4040C2211yescharacteristic
157C2×#4040C2211yescharacteristic
158C2×#4040C2211yescharacteristic
159C2×#4039C2211yescharacteristic
160C2×#4038C2211yescharacteristic
161C2×D5×C4⋊C4C2211yescharacteristic
162C2×D5×C4⋊C4C2211yescharacteristic
163C2×D5×C4⋊C4C2211yescharacteristic
164C2×#4036C2211yescharacteristic
165C2×#4035C2211yescharacteristic
166C2×#4035C2211yescharacteristic
167C2×#4035C2211yescharacteristic
168C2×#4035C2211yescharacteristic
169C2×#4035C2211yescharacteristic
170C2×#4035C2211yescharacteristic
171C2×#4035C2211yescharacteristic
172C2×#4035C2211yescharacteristic
173C2×#4035C2211yescharacteristic
174C2×#4035C2211yescharacteristic
175C2×#4035C2211yescharacteristic
176C2×#4035C2211yescharacteristic
177C2×#4035C2211yescharacteristic
178C2×#4035C22116yescomplemented
179C2×#4034C2211yescharacteristic
180C2×#4034C2211yescharacteristic
181C2×#4034C2211yescharacteristic
182C2×#4033C2211yescharacteristic
183C2×#4032C2211yescharacteristic
184C2×#4032C2211yescharacteristic
185C2×#4031C2211yescharacteristic
186C2×#4030C2211yescharacteristic
187C2×#4030C2211yescharacteristic
188C2×#4030C2211yescharacteristic
189C2×#4030C2211yescharacteristic
190C2×#4030C2211yescharacteristic
191C2×#4029C2211yescharacteristic
192C2×#4029C2211yescharacteristic
193C2×#4029C2211yescharacteristic
194C2×#4029C2211yescharacteristic
195C2×#4029C2211yescharacteristic
196C2×#4027C2211yescharacteristic
197C2×#4027C2211yescharacteristic
198C2×#4027C2211yescharacteristic
199C2×#4027C2211yescharacteristic
200C2×#4027C2211yescharacteristic
201C2×#4027C2211yescharacteristic
202C2×#4025C2211yescharacteristic
203C2×#4025C2211yescharacteristic
204C2×#4025C2211yescharacteristic
205C2×#4025C2211yescharacteristic
206C2×#4025C2211yescharacteristic
207C2×#4024C2211yescharacteristic
208C2×#4024C2211yescharacteristic
209C2×#4024C2211yescharacteristic
210C2×#4024C2211yescharacteristic
211C2×#4024C2211yescharacteristic
212C2×#4024C2211yescharacteristic
213C2×#4023C2211yescharacteristic
214C2×#4023C2211yescharacteristic
215C2×#4022C2211yescharacteristic
216C2×#4022C2211yescharacteristic
217C2×#4018C2211yescharacteristic
218C2×#4016C2211yescharacteristic
219C2×#3559—51nomaximal, Sylow
220C2×C5×#41—44no—
221C2×C5×#41—44no—
222C2×C5×#41C2318yes—
223C2×C5×#41C2318yes—
224C22×C5×Q8C2311yescharacteristic
225C22×C5×Q8C2311yescharacteristic
226C22×C5×D4C2311yescharacteristic
227C22×C5×D4C2311yescharacteristic
228C22×C5×D4C2311yescharacteristic
229C22×C5×D4C2311yescharacteristic
230C22×C5×D4C2311yescharacteristic
231C22×C5×D4C2311yescharacteristic
232C23×C4×C5C2311yescharacteristic
233C23×C4×C5C2311yescharacteristic
234C23×C4×C5C2311yescharacteristic
235C23×C4×C5C2311yescharacteristic
236C23×C4×C5C2311yescharacteristic
237C23×C4×C5C2311yescharacteristic
238C23×C4×C5C2311yescharacteristic
239C23×C4×C5C2311yescharacteristic
240C22×C22⋊D5C2311yescharacteristic
241C22×C22⋊D5C2311yescharacteristic
242C22×C22⋊D5C2311yescharacteristic
243C22×C22⋊D5C2311yescharacteristic
244C22×C22⋊D5C2311yescharacteristic
245C22×C22⋊D5C2311yescharacteristic
246C22×C22⋊D5C2311yescharacteristic
247C22×C22⋊D5C2311yescharacteristic
248C22×C22⋊D5C2311yescharacteristic
249C22×C22⋊D5C2311yescharacteristic
250C22×C22⋊D5C2311yescharacteristic
251C22×C22⋊D5C2311yescharacteristic
252C23×Dic5C2311yescharacteristic
253C23×Dic5C2311yescharacteristic
254C23×Dic5C2311yescharacteristic
255C23×Dic5C2311yescharacteristic
256C23×Dic5C2311yescharacteristic
257C23×Dic5C2311yescharacteristic
258C23×Dic5C2311yescharacteristic
259C23×Dic5C2311yescharacteristic
260C2×#711—44no—
261C2×#711—44no—
262C2×#711C2318yes—
263C2×#711C2318yes—
264C2×#709—44no—
265C2×#709—44no—
266C2×#709C2318yes—
267C2×#709C2318yes—
268C22×D20C2311yescharacteristic
269C22×D20C2311yescharacteristic
270C22×D20C2311yescharacteristic
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×Dic10C2311yescharacteristic
281C22×Dic10C2311yescharacteristic
282C22×Dic10C2311yescharacteristic
283C22×Dic10C2311yescharacteristic
284C22×Dic10C2311yescharacteristic
285C5×C4⋊Q8C2318yes—
286C5×#123C2318yes—
287C5×#123C2318yes—
288C5×#123C2318yes—
289C5×#123C2318yes—
290C5×C22⋊Q8C2318yes—
291C5×C22⋊Q8C2318yes—
292C5×#121C2318yes—
293C5×#121C2318yes—
294C4×C5×D4C2318yes—
295C4×C5×D4C2318yes—
296C2×C5×C4⋊C4C2311yescharacteristic
297C2×C5×C4⋊C4C2311yescharacteristic
298C2×C5×C4⋊C4C2311yescharacteristic
299C2×C5×C4⋊C4C2311yescharacteristic
300C2×C5×C4⋊C4C2311yescharacteristic
301C2×C5×C4⋊C4C2311yescharacteristic
302C2×C5×C4⋊C4C2311yescharacteristic
303C2×C5×C4⋊C4C2311yescharacteristic
304C2×C5×C4⋊C4C2311yescharacteristic
305C2×C5×C4⋊C4C2318yes—
306C2×C5×C4⋊C4C2311yescharacteristic
307C2×C5×C4⋊C4C2318yes—
308C2×C5×C22⋊C4C2311yescharacteristic
309C2×C5×C22⋊C4C2311yescharacteristic
310C2×C5×C22⋊C4C2311yescharacteristic
311C2×C5×C22⋊C4C2311yescharacteristic
312C2×C5×C22⋊C4C2311yescharacteristic
313C2×C5×C22⋊C4C2311yescharacteristic
314C2×C5×C22⋊C4C2311yescharacteristic
315C2×C5×C22⋊C4C2311yescharacteristic
316C2×C42×C5C2311yescharacteristic
317C2×C22⋊Dic5C2311yescharacteristic
318C2×C22⋊Dic5C2311yescharacteristic
319C2×C22⋊Dic5C2311yescharacteristic
320C2×C22⋊Dic5C2311yescharacteristic
321C2×C22⋊Dic5C2311yescharacteristic
322C2×C22⋊Dic5C2311yescharacteristic
323C2×C22⋊Dic5C2311yescharacteristic
324C2×C22⋊Dic5C2311yescharacteristic
325C2×C22⋊Dic5C2311yescharacteristic
326C2×C22⋊Dic5C2311yescharacteristic
327C2×C22⋊Dic5C2311yescharacteristic
328C2×C22⋊Dic5C2311yescharacteristic
329#4093C2318yes—
330#4092C2318yes—
331#4092C2318yes—
332#4092C2318yes—
333#4092C2318yes—
334#4090C2318yes—
335#4090C2318yes—
336#4090C2318yes—
337#4086C2318yes—
338#4085C2318yes—
339#4085C2318yes—
340#4085C2318yes—
341#4085C2318yes—
342#4085C2318yes—
343#4085C2318yes—
344#4085C2318yes—
345#4085C2318yes—
346#4085C2318yes—
347#4085C2318yes—
348#4085C2318yes—
349#4085C2318yes—
350#4084C2318yes—
351#4084C2318yes—
352#4082C2318yes—
353#4081C2318yes—
354#4081C2318yes—
355#4081C2318yes—
356#4081C2318yes—
357D4×Dic5C2318yes—
358D4×Dic5C2318yes—
359#4076C2318yes—
360#4076C2318yes—
361#4076C2318yes—
362#4075C2318yes—
363#4075C2318yes—
364#4075C2318yes—
365#4075C2318yes—
366#4075C2318yes—
367#4075C2318yes—
368C4×C22⋊D5C2318yes—
369C4×C22⋊D5C2318yes—
370C4×C22⋊D5C2318yes—
371C4×C22⋊D5C2318yes—
372C4×C22⋊D5C2318yes—
373C4×C22⋊D5C2318yes—
374C4×C22⋊D5C2318yes—
375C4×C22⋊D5C2318yes—
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×#685C2311yescharacteristic
389C2×#685C2311yescharacteristic
390C2×#685C2311yescharacteristic
391C2×#685C2311yescharacteristic
392C2×#685C2311yescharacteristic
393C2×#685C2311yescharacteristic
394C2×C4⋊Dic5C2311yescharacteristic
395C2×C4⋊Dic5C2311yescharacteristic
396C2×C4⋊Dic5C2311yescharacteristic
397C2×C4⋊Dic5C2311yescharacteristic
398C2×C4⋊Dic5C2311yescharacteristic
399C2×C4⋊Dic5C2311yescharacteristic
400C2×C4⋊Dic5C2311yescharacteristic
401C2×C4⋊Dic5C2311yescharacteristic
402C2×C4⋊Dic5C2311yescharacteristic
403C2×C4⋊Dic5C2311yescharacteristic
404C2×C4⋊Dic5C2318yes—
405#4070C2318yes—
406#4070C2318yes—
407#4070C2318yes—
408#4070C2318yes—
409#4070C2318yes—
410C2×#683C2311yescharacteristic
411C2×#683C2311yescharacteristic
412C2×#683C2311yescharacteristic
413C2×#683C2311yescharacteristic
414C2×#683C2311yescharacteristic
415C2×#683C2311yescharacteristic
416C2×#683C2311yescharacteristic
417C2×#683C2311yescharacteristic
418C2×#683C2311yescharacteristic
419C2×#683C2311yescharacteristic
420C2×#683C2311yescharacteristic
421C2×#683C2311yescharacteristic
422C2×#683C2311yescharacteristic
423C2×#683C2311yescharacteristic
424C2×#683C2311yescharacteristic
425C2×#683C2311yescharacteristic
426C2×#683C2311yescharacteristic
427C2×#683C2311yescharacteristic
428C2×#683C2311yescharacteristic
429C2×#683C2311yescharacteristic
430C2×#683C2311yescharacteristic
431C2×#683C2311yescharacteristic
432C2×#683C2311yescharacteristic
433C2×#683C2311yescharacteristic
434C2×#683C2311yescharacteristic
435C2×#683C2311yescharacteristic
436C2×#683C2311yescharacteristic
437C2×#683C2311yescharacteristic
438C2×#683C2311yescharacteristic
439C2×#683C2311yescharacteristic
440C2×#683C2311yescharacteristic
441C2×#683C2311yescharacteristic
442C2×#683C2311yescharacteristic
443C2×#683C2311yescharacteristic
444C2×#683C2318yes—
445C2×#683C2318yes—
446C2×#683C2318yes—
447C2×#683C2318yes—
448C2×#683C2318yes—
449C2×#683C2318yes—
450C2×C4×Dic5C2311yescharacteristic
451C2×C4×Dic5C2311yescharacteristic
452C2×C4×Dic5C2311yescharacteristic
453C2×C4×Dic5C2311yescharacteristic
454C2×C4×Dic5C2311yescharacteristic
455C2×C4×Dic5C2311yescharacteristic
456C2×C4×Dic5C2311yescharacteristic
457C2×C4×Dic5C2311yescharacteristic
458C2×C4×Dic5C2311yescharacteristic
459C2×C4×Dic5C2318yes—
460#4044C2318yes—
461#4044C2318yes—
462#4044C2318yes—
463#4043C2318yes—
464#4042C2318yes—
465#4042C2318yes—
466#4042C2318yes—
467#4042C2318yes—
468#4042C2318yes—
469#4042C2318yes—
470#4042C2318yes—
471#4041C2318yes—
472#4040C2318yes—
473#4040C2318yes—
474#4040C2318yes—
475#4040C2318yes—
476#4040C2318yes—
477#4039C2318yes—
478#4038C2318yes—
479D5×C4⋊C4C2318yes—
480D5×C4⋊C4C2318yes—
481D5×C4⋊C4C2318yes—
482#4036C2318yes—
483#4035C2318yes—
484#4035C2318yes—
485#4035C2318yes—
486#4035C2318yes—
487#4035C2318yes—
488#4035C2318yes—
489#4035C2318yes—
490#4035C2318yes—
491#4035C2318yes—
492#4035C2318yes—
493#4035C2318yes—
494#4035C2318yes—
495#4035C2318yes—
496#4034C2318yes—
497#4034C2318yes—
498#4034C2318yes—
499#4033C2318yes—
500#4032C2318yes—
501#4032C2318yes—
502#4031C2318yes—
503#4030C2318yes—
504#4030C2318yes—
505#4030C2318yes—
506#4030C2318yes—
507#4030C2318yes—
508#4029C2318yes—
509#4029C2318yes—
510#4029C2318yes—
511#4029C2318yes—
512#4029C2318yes—
513#4027C2318yes—
514#4027C2318yes—
515#4027C2318yes—
516#4027C2318yes—
517#4027C2318yes—
518#4027C2318yes—
519#4025C2318yes—
520#4025C2318yes—
521#4025C2318yes—
522#4025C2318yes—
523#4025C2318yes—
524#4024C2318yes—
525#4024C2318yes—
526#4024C2318yes—
527#4024C2318yes—
528#4024C2318yes—
529#4024C2318yes—
530#4023C2318yes—
531#4023C2318yes—
532#4022C2318yes—
533#4022C2318yes—
534#4018C2318yes—
535#4016C2318yes—
536#3559—532no—
537C2×#563—51no—
538C2×#563—51no—
539C2×#562—51no—
540C2×#562—51no—
541C2×#554—51no—
542C2×#554—51no—
543C2×#553—51no—
544C2×#553—51no—
545C2×#553—51no—
546C2×#553—51no—
547C2×#547—51no—
548C2×#547—51no—
549C2×#547—51no—
550C2×#547—51no—
551C2×#547—51no—
552C2×#547D511yescharacteristic, complemented
553C2×#544—51no—
554C2×#544—51no—
555C2×#540—51no—
556C2×#540—51no—
557C2×#539—51no—
558C2×#539—51no—
559C2×#539—51no—
560C2×#539—51no—
561C2×#539—51no—
562C2×#539—51no—
563C2×#537—51no—
564C2×#537—51no—
565C2×#532—51no—
566C2×#529—51no—
567C22×#125—51no—
568C24×C5C2411yescharacteristic
569C24×C5C2411yescharacteristic
570C24×C5C2411yescharacteristic
571C24×C5C2411yescharacteristic
572C23×D5C2411yescharacteristic
573C23×D5C2411yescharacteristic
574C23×D5C2411yescharacteristic
575C5×#41—416no—
576C5×#41—416no—
577C2×C5×Q8—42no—
578C2×C5×Q8—42no—
579C2×C5×Q8C2414yes—
580C2×C5×Q8C2414yes—
581C2×C5×D4—24no—
582C2×C5×D4—24no—
583C2×C5×D4—24no—
584C2×C5×D4—42no—
585C2×C5×D4—42no—
586C2×C5×D4—42no—
587C2×C5×D4C2414yes—
588C2×C5×D4C2414yes—
589C2×C5×D4C2414yes—
590C2×C5×D4C2414yes—
591C2×C5×D4C2414yes—
592C2×C5×D4C2414yes—
593C22×C4×C5—24no—
594C22×C4×C5—24no—
595C22×C4×C5—42no—
596C22×C4×C5—42no—
597C22×C4×C5—42no—
598C22×C4×C5—42no—
599C22×C4×C5—42no—
600C22×C4×C5—42no—
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×C5C2411yescharacteristic
611C22×C4×C5C2411yescharacteristic
612C22×C4×C5C2414yes—
613C22×C4×C5C2414yes—
614C22×C4×C5C2414yes—
615C22×C4×C5C2414yes—
616C22×C4×C5C2414yes—
617C22×C4×C5C2414yes—
618C22×C4×C5C2414yes—
619C22×C4×C5C2414yes—
620C2×C22⋊D5—24no—
621C2×C22⋊D5—24no—
622C2×C22⋊D5—24no—
623C2×C22⋊D5—24no—
624C2×C22⋊D5—24no—
625C2×C22⋊D5—42no—
626C2×C22⋊D5—42no—
627C2×C22⋊D5—42no—
628C2×C22⋊D5—42no—
629C2×C22⋊D5—42no—
630C2×C22⋊D5—42no—
631C2×C22⋊D5—42no—
632C2×C22⋊D5C2414yes—
633C2×C22⋊D5C2414yes—
634C2×C22⋊D5C2414yes—
635C2×C22⋊D5C2414yes—
636C2×C22⋊D5C2414yes—
637C2×C22⋊D5C2414yes—
638C2×C22⋊D5C2414yes—
639C2×C22⋊D5C2414yes—
640C2×C22⋊D5C2414yes—
641C2×C22⋊D5C2414yes—
642C2×C22⋊D5C2414yes—
643C2×C22⋊D5C2414yes—
644C22×Dic5—24no—
645C22×Dic5—24no—
646C22×Dic5—24no—
647C22×Dic5—42no—
648C22×Dic5—42no—
649C22×Dic5—42no—
650C22×Dic5—42no—
651C22×Dic5—42no—
652C22×Dic5C2411yescharacteristic
653C22×Dic5C2411yescharacteristic
654C22×Dic5C2411yescharacteristic
655C22×Dic5C2411yescharacteristic
656C22×Dic5C2411yescharacteristic
657C22×Dic5C2411yescharacteristic
658C22×Dic5C2411yescharacteristic
659C22×Dic5C2411yescharacteristic
660C22×Dic5C2411yescharacteristic
661C22×Dic5C2411yescharacteristic
662C22×Dic5C2411yescharacteristic
663C22×Dic5C2411yescharacteristic
664C22×Dic5C2414yes—
665C22×Dic5C2414yes—
666C22×Dic5C2414yes—
667C22×Dic5C2414yes—
668C22×Dic5C2414yes—
669C22×Dic5C2414yes—
670C22×Dic5C2414yes—
671C22×Dic5C2414yes—
672C22×Dic5C2411yescharacteristic
673#711—416no—
674#711—416no—
675#709—416no—
676#709—416no—
677C2×D20—42no—
678C2×D20—42no—
679C2×D20—42no—
680C2×D20C2414yes—
681C2×D20C2414yes—
682C2×D20C2414yes—
683C2×C4×D5—24no—
684C2×C4×D5—42no—
685C2×C4×D5—42no—
686C2×C4×D5—42no—
687C2×C4×D5—42no—
688C2×C4×D5—42no—
689C2×C4×D5—42no—
690C2×C4×D5—42no—
691C2×C4×D5—42no—
692C2×C4×D5C2414yes—
693C2×C4×D5C2414yes—
694C2×C4×D5C2414yes—
695C2×C4×D5C2414yes—
696C2×C4×D5C2414yes—
697C2×C4×D5C2414yes—
698C2×C4×D5C2414yes—
699C2×C4×D5C2414yes—
700C2×C4×D5C2414yes—
701C2×Dic10—42no—
702C2×Dic10—42no—
703C2×Dic10—42no—
704C2×Dic10—42no—
705C2×Dic10—42no—
706C2×Dic10C2414yes—
707C2×Dic10C2414yes—
708C2×Dic10C2414yes—
709C2×Dic10C2414yes—
710C2×Dic10C2414yes—
711C5×C4⋊C4C2414yes—
712C5×C4⋊C4C2414yes—
713C5×C4⋊C4C2414yes—
714C5×C4⋊C4C2414yes—
715C5×C4⋊C4C2414yes—
716C5×C4⋊C4C2414yes—
717C5×C4⋊C4C2414yes—
718C5×C4⋊C4C2414yes—
719C5×C4⋊C4C2414yes—
720C5×C4⋊C4C2414yes—
721C5×C22⋊C4C2414yes—
722C5×C22⋊C4C2414yes—
723C5×C22⋊C4C2414yes—
724C5×C22⋊C4C2414yes—
725C5×C22⋊C4C2414yes—
726C5×C22⋊C4C2414yes—
727C5×C22⋊C4C2414yes—
728C5×C22⋊C4C2414yes—
729C42×C5C2414yes—
730C22⋊Dic5C2414yes—
731C22⋊Dic5C2414yes—
732C22⋊Dic5C2414yes—
733C22⋊Dic5C2414yes—
734C22⋊Dic5C2414yes—
735C22⋊Dic5C2414yes—
736C22⋊Dic5C2414yes—
737C22⋊Dic5C2414yes—
738C22⋊Dic5C2414yes—
739C22⋊Dic5C2414yes—
740C22⋊Dic5C2414yes—
741C22⋊Dic5C2414yes—
742#685C2414yes—
743#685C2414yes—
744#685C2414yes—
745#685C2414yes—
746#685C2414yes—
747#685C2414yes—
748#685C2414yes—
749#685C2414yes—
750#685C2414yes—
751#685C2414yes—
752#685C2414yes—
753#685C2414yes—
754#685C2414yes—
755#685C2414yes—
756#685C2414yes—
757#685C2414yes—
758#685C2414yes—
759#685C2414yes—
760C4⋊Dic5C2414yes—
761C4⋊Dic5C2414yes—
762C4⋊Dic5C2414yes—
763C4⋊Dic5C2414yes—
764C4⋊Dic5C2414yes—
765C4⋊Dic5C2414yes—
766C4⋊Dic5C2414yes—
767C4⋊Dic5C2414yes—
768C4⋊Dic5C2414yes—
769C4⋊Dic5C2414yes—
770#683C2414yes—
771#683C2414yes—
772#683C2414yes—
773#683C2414yes—
774#683C2414yes—
775#683C2414yes—
776#683C2414yes—
777#683C2414yes—
778#683C2414yes—
779#683C2414yes—
780#683C2414yes—
781#683C2414yes—
782#683C2414yes—
783#683C2414yes—
784#683C2414yes—
785#683C2414yes—
786#683C2414yes—
787#683C2414yes—
788#683C2414yes—
789#683C2414yes—
790#683C2414yes—
791#683C2414yes—
792#683C2414yes—
793#683C2414yes—
794#683C2414yes—
795#683C2414yes—
796#683C2414yes—
797#683C2414yes—
798#683C2414yes—
799#683C2414yes—
800#683C2414yes—
801#683C2414yes—
802#683C2414yes—
803#683C2414yes—
804C4×Dic5C2414yes—
805C4×Dic5C2414yes—
806C4×Dic5C2414yes—
807C4×Dic5C2414yes—
808C4×Dic5C2414yes—
809C4×Dic5C2414yes—
810C4×Dic5C2414yes—
811C4×Dic5C2414yes—
812C4×Dic5C2414yes—
813C22×#41—51no—
814C22×#41—51no—
815C22×#41—51no—
816C22×#41—51no—
817C22×#41C2×D511yescharacteristic
818C22×#41C2×D511yescharacteristic
819#563—516no—
820#563—516no—
821#562—516no—
822#562—516no—
823#554—516no—
824#554—516no—
825#553—516no—
826#553—516no—
827#553—516no—
828#553—516no—
829#547—516no—
830#547—516no—
831#547—516no—
832#547—516no—
833#547—516no—
834#547C2×D5116yescomplemented
835#544—516no—
836#544—516no—
837#540—516no—
838#540—516no—
839#539—516no—
840#539—516no—
841#539—516no—
842#539—516no—
843#539—516no—
844#539—516no—
845#537—516no—
846#537—516no—
847#532—516no—
848C2×C4⋊Q8—51no—
849C2×C4⋊Q8—51no—
850C2×C4⋊Q8—51no—
851C2×C4⋊Q8—51no—
852C2×C4⋊Q8—51no—
853C2×C4⋊Q8—51no—
854C2×C4⋊Q8C2×D511yescharacteristic
855C2×#127—51no—
856#529—516no—
857C2×#126—51no—
858C2×#126—51no—
859C2×#126—51no—
860C2×#126—51no—
861C2×#126—51no—
862C2×#126—51no—
863C2×#126—51no—
864C2×#126—51no—
865C2×#126—51no—
866C2×#126—51no—
867C2×#125—51no—
868C2×#125—51no—
869C2×#125—51no—
870C2×#125—51no—
871C2×#125—51no—
872C2×#125—51no—
873C2×#125—51no—
874C2×#125—51no—
875C2×#125—51no—
876C2×#125—51no—
877C2×#125—51no—
878C2×#125—51no—
879C2×#125—51no—
880C2×#125—516no—
881C2×#125—51no—
882C2×#125—51no—
883C2×#124—51no—
884C2×#124—51no—
885C2×#124—51no—
886C2×#123—51no—
887C2×#123—51no—
888C2×#123—51no—
889C2×#123—51no—
890C2×#123—51no—
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×#123C2×D511yescharacteristic
909C2×#123C2×D511yescharacteristic
910C2×#123C2×D511yescharacteristic
911C2×#123C2×D511yescharacteristic
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⋊Q8—51no—
920C2×C22⋊Q8—51no—
921C2×C22⋊Q8—51no—
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⋊Q8C2×D511yescharacteristic
936C2×C22⋊Q8C2×D511yescharacteristic
937C2×#121—51no—
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×#121C2×D511yescharacteristic
961C2×#121C2×D511yescharacteristic
962C2×C4×Q8—51no—
963C2×C4×D4—51no—
964C2×C4×D4—51no—
965C2×C4×D4—51no—
966C2×C4×D4—51no—
967C2×C4×D4—51no—
968C2×C4×D4—51no—
969C2×C4×D4—51no—
970C2×C4×D4—51no—
971C2×C4×D4—51no—
972C2×C4×D4—51no—
973C2×C4×D4—51no—
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×D4C2×D511yescharacteristic
981C2×C4×D4C2×D511yescharacteristic
982C2×#117—51no—
983C2×#117—51no—
984C2×#117—51no—
985C2×#117—51no—
986C22×C4⋊C4—51no—
987C22×C4⋊C4—51no—
988C22×C4⋊C4—51no—
989C22×C4⋊C4—51no—
990C22×C4⋊C4—51no—
991C22×C4⋊C4—51no—
992C22×C4⋊C4—51no—
993C22×C4⋊C4—51no—
994C22×C4⋊C4—51no—
995C22×C4⋊C4—51no—
996C22×C4⋊C4C2×D511yescharacteristic
997C22×C4⋊C4C2×D511yescharacteristic
998C22×C42—51no—
999C23×C5—22no—
1000C23×C5—22no—
1001C23×C5—22no—
1002C23×C5—22no—
1003C23×C5—22no—
1004C23×C5—22no—
1005C23×C5—22no—
1006C23×C5—22no—
1007C23×C5—22no—
1008C23×C5—22no—
1009C23×C5—22no—
1010C23×C5H(5,𝔽2)14yes—
1011C23×C5C2512yes—
1012C23×C5C2512yes—
1013C23×C5C2512yes—
1014C23×C5C2512yes—
1015C23×C5C2511yescharacteristic
1016C22×D5—22no—
1017C22×D5—22no—
1018C22×D5—22no—
1019C22×D5—22no—
1020C22×D5—22no—
1021C22×D5—22no—
1022C22×D5—22no—
1023C22×D5—22no—
1024C22×D5—22no—
1025C22×D5C2512yes—
1026C22×D5C2512yes—
1027C22×D5C2512yes—
1028C5×Q8—44no—
1029C5×Q8—44no—
1030C5×D4—28no—
1031C5×D4—28no—
1032C5×D4—28no—
1033C5×D4—44no—
1034C5×D4—44no—
1035C5×D4—44no—
1036C2×C4×C5—22no—
1037C2×C4×C5—22no—
1038C2×C4×C5—22no—
1039C2×C4×C5—22no—
1040C2×C4×C5—22no—
1041C2×C4×C5—22no—
1042C2×C4×C5—28no—
1043C2×C4×C5—28no—
1044C2×C4×C5—22no—
1045C2×C4×C5—22no—
1046C2×C4×C5—22no—
1047C2×C4×C5—22no—
1048C2×C4×C5—22no—
1049C2×C4×C5—44no—
1050C2×C4×C5—44no—
1051C2×C4×C5—44no—
1052C2×C4×C5—44no—
1053C2×C4×C5—44no—
1054C2×C4×C5—44no—
1055C2×C4×C5C2512yes—
1056C2×C4×C5C2512yes—
1057C2×C4×C5C2512yes—
1058C2×C4×C5C2512yes—
1059C2×C4×C5C2512yes—
1060C2×C4×C5C2512yes—
1061C2×C4×C5C2512yes—
1062C2×C4×C5C2512yes—
1063C2×C4×C5C2512yes—
1064C2×C4×C5C2512yes—
1065C2×C4×C5C2512yes—
1066C22⋊D5—28no—
1067C22⋊D5—28no—
1068C22⋊D5—28no—
1069C22⋊D5—28no—
1070C22⋊D5—28no—
1071C22⋊D5—44no—
1072C22⋊D5—44no—
1073C22⋊D5—44no—
1074C22⋊D5—44no—
1075C22⋊D5—44no—
1076C22⋊D5—44no—
1077C22⋊D5—44no—
1078C2×Dic5—22no—
1079C2×Dic5—22no—
1080C2×Dic5—22no—
1081C2×Dic5—22no—
1082C2×Dic5—22no—
1083C2×Dic5—28no—
1084C2×Dic5—22no—
1085C2×Dic5—22no—
1086C2×Dic5—22no—
1087C2×Dic5—22no—
1088C2×Dic5—22no—
1089C2×Dic5—22no—
1090C2×Dic5—22no—
1091C2×Dic5—28no—
1092C2×Dic5—28no—
1093C2×Dic5—44no—
1094C2×Dic5—44no—
1095C2×Dic5—44no—
1096C2×Dic5—44no—
1097C2×Dic5—44no—
1098C2×Dic52−1+414yes—
1099C2×Dic5C2512yes—
1100C2×Dic5C2512yes—
1101C2×Dic5C2512yes—
1102C2×Dic5C2512yes—
1103C2×Dic5C2512yes—
1104C2×Dic5C2512yes—
1105C2×Dic5C2512yes—
1106C2×Dic5C2512yes—
1107C2×Dic5C2512yes—
1108C2×Dic5C2512yes—
1109C2×Dic5C2512yes—
1110C2×Dic5C2512yes—
1111C2×Dic5C2512yes—
1112D20—44no—
1113D20—44no—
1114D20—44no—
1115C4×D5—28no—
1116C4×D5—44no—
1117C4×D5—44no—
1118C4×D5—44no—
1119C4×D5—44no—
1120C4×D5—44no—
1121C4×D5—44no—
1122C4×D5—44no—
1123C4×D5—44no—
1124Dic10—44no—
1125Dic10—44no—
1126Dic10—44no—
1127Dic10—44no—
1128Dic10—44no—
1129C2×#41—44no—
1130C2×#41—44no—
1131C2×#41—58no—
1132C2×#41—58no—
1133C2×#41—58no—
1134C2×#41—58no—
1135C2×#41—204no—
1136C2×#41—204no—
1137C2×#41—204no—
1138C2×#41—204no—
1139C2×#41C22×D518yes—
1140C2×#41C22×D518yes—
1141C22×Q8—51no—
1142C22×Q8—51no—
1143C22×Q8—51no—
1144C22×Q8—51no—
1145C22×Q8—51no—
1146C22×Q8C22×D511yescharacteristic
1147C22×Q8C22×D511yescharacteristic
1148C22×D4—51no—
1149C22×D4—51no—
1150C22×D4—51no—
1151C22×D4—51no—
1152C22×D4—51no—
1153C22×D4—51no—
1154C22×D4—51no—
1155C22×D4—51no—
1156C22×D4—51no—
1157C22×D4—51no—
1158C22×D4—51no—
1159C22×D4—51no—
1160C22×D4—51no—
1161C22×D4—51no—
1162C22×D4—51no—
1163C22×D4C22×D511yescharacteristic
1164C22×D4C22×D511yescharacteristic
1165C22×D4C22×D511yescharacteristic
1166C22×D4C22×D511yescharacteristic
1167C22×D4C22×D511yescharacteristic
1168C22×D4C22×D511yescharacteristic
1169C23×C4—51no—
1170C23×C4—51no—
1171C23×C4—51no—
1172C23×C4—51no—
1173C23×C4—51no—
1174C23×C4—51no—
1175C23×C4—51no—
1176C23×C4—51no—
1177C23×C4—51no—
1178C23×C4—51no—
1179C23×C4—51no—
1180C23×C4—51no—
1181C23×C4—51no—
1182C23×C4—51no—
1183C23×C4—51no—
1184C23×C4—51no—
1185C23×C4—51no—
1186C23×C4C22×D511yescharacteristic
1187C23×C4C22×D511yescharacteristic
1188C23×C4C22×D511yescharacteristic
1189C23×C4C22×D511yescharacteristic
1190C23×C4C22×D511yescharacteristic
1191C23×C4C22×D511yescharacteristic
1192C23×C4C22×D511yescharacteristic
1193C23×C4C22×D511yescharacteristic
1194C4⋊Q8—58no—
1195C4⋊Q8—58no—
1196C4⋊Q8—58no—
1197C4⋊Q8—58no—
1198C4⋊Q8—58no—
1199C4⋊Q8—58no—
1200C4⋊Q8C22×D518yes—
1201#127—58no—
1202#126—58no—
1203#126—58no—
1204#126—58no—
1205#126—58no—
1206#126—58no—
1207#126—58no—
1208#126—58no—
1209#126—58no—
1210#126—58no—
1211#126—58no—
1212#125—58no—
1213#125—58no—
1214#125—58no—
1215#125—58no—
1216#125—58no—
1217#125—58no—
1218#125—58no—
1219#125—58no—
1220#125—58no—
1221#125—58no—
1222#125—58no—
1223#125—58no—
1224#125—58no—
1225#125—58no—
1226#125—58no—
1227#124—58no—
1228#124—58no—
1229#124—58no—
1230#123—58no—
1231#123—58no—
1232#123—58no—
1233#123—58no—
1234#123—58no—
1235#123—58no—
1236#123—58no—
1237#123—58no—
1238#123—58no—
1239#123—58no—
1240#123—58no—
1241#123—58no—
1242#123—58no—
1243#123—58no—
1244#123—58no—
1245#123—58no—
1246#123—58no—
1247#123—58no—
1248#123—58no—
1249#123—58no—
1250#123—58no—
1251#123—58no—
1252#123C22×D518yes—
1253#123C22×D518yes—
1254#123C22×D518yes—
1255#123C22×D518yes—
1256C22⋊Q8—58no—
1257C22⋊Q8—58no—
1258C22⋊Q8—58no—
1259C22⋊Q8—58no—
1260C22⋊Q8—58no—
1261C22⋊Q8—58no—
1262C22⋊Q8—58no—
1263C22⋊Q8—58no—
1264C22⋊Q8—58no—
1265C22⋊Q8—58no—
1266C22⋊Q8—58no—
1267C22⋊Q8—58no—
1268C22⋊Q8—58no—
1269C22⋊Q8—58no—
1270C22⋊Q8—58no—
1271C22⋊Q8—58no—
1272C22⋊Q8—58no—
1273C22⋊Q8—58no—
1274C22⋊Q8—58no—
1275C22⋊Q8—58no—
1276C22⋊Q8—58no—
1277C22⋊Q8—58no—
1278C22⋊Q8—58no—
1279C22⋊Q8C22×D518yes—
1280C22⋊Q8C22×D518yes—
1281#121—58no—
1282#121—58no—
1283#121—58no—
1284#121—58no—
1285#121—58no—
1286#121—58no—
1287#121—58no—
1288#121—58no—
1289#121—58no—
1290#121—58no—
1291#121—58no—
1292#121—58no—
1293#121—58no—
1294#121—58no—
1295#121—58no—
1296#121—58no—
1297#121—58no—
1298#121—58no—
1299#121—58no—
1300#121—58no—
1301#121—58no—
1302#121—58no—
1303#121—58no—
1304#121C22×D518yes—
1305#121C22×D518yes—
1306C4×Q8—58no—
1307C4×D4—58no—
1308C4×D4—58no—
1309C4×D4—58no—
1310C4×D4—58no—
1311C4×D4—58no—
1312C4×D4—58no—
1313C4×D4—58no—
1314C4×D4—58no—
1315C4×D4—58no—
1316C4×D4—58no—
1317C4×D4—58no—
1318C4×D4—58no—
1319C4×D4—58no—
1320C4×D4—58no—
1321C4×D4—58no—
1322C4×D4—58no—
1323C4×D4—58no—
1324C4×D4C22×D518yes—
1325C4×D4C22×D518yes—
1326#117—58no—
1327#117—58no—
1328#117—58no—
1329#117—58no—
1330C2×C4⋊C4—51no—
1331C2×C4⋊C4—51no—
1332C2×C4⋊C4—51no—
1333C2×C4⋊C4—51no—
1334C2×C4⋊C4—51no—
1335C2×C4⋊C4—51no—
1336C2×C4⋊C4—51no—
1337C2×C4⋊C4—51no—
1338C2×C4⋊C4—51no—
1339C2×C4⋊C4—51no—
1340C2×C4⋊C4—51no—
1341C2×C4⋊C4—51no—
1342C2×C4⋊C4—51no—
1343C2×C4⋊C4—51no—
1344C2×C4⋊C4—51no—
1345C2×C4⋊C4—51no—
1346C2×C4⋊C4—51no—
1347C2×C4⋊C4—51no—
1348C2×C4⋊C4—51no—
1349C2×C4⋊C4—51no—
1350C2×C4⋊C4—51no—
1351C2×C4⋊C4—51no—
1352C2×C4⋊C4—51no—
1353C2×C4⋊C4—51no—
1354C2×C4⋊C4—51no—
1355C2×C4⋊C4—51no—
1356C2×C4⋊C4—51no—
1357C2×C4⋊C4—51no—
1358C2×C4⋊C4—51no—
1359C2×C4⋊C4—51no—
1360C2×C4⋊C4—51no—
1361C2×C4⋊C4—51no—
1362C2×C4⋊C4—58no—
1363C2×C4⋊C4—58no—
1364C2×C4⋊C4—58no—
1365C2×C4⋊C4—58no—
1366C2×C4⋊C4—58no—
1367C2×C4⋊C4—58no—
1368C2×C4⋊C4—58no—
1369C2×C4⋊C4—51no—
1370C2×C4⋊C4—51no—
1371C2×C4⋊C4—51no—
1372C2×C4⋊C4—51no—
1373C2×C4⋊C4—51no—
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—58no—
1382C2×C4⋊C4—58no—
1383C2×C4⋊C4—58no—
1384C2×C4⋊C4C22×D511yescharacteristic
1385C2×C4⋊C4C22×D511yescharacteristic
1386C2×C4⋊C4C22×D511yescharacteristic
1387C2×C4⋊C4C22×D511yescharacteristic
1388C2×C4⋊C4C22×D511yescharacteristic
1389C2×C4⋊C4C22×D511yescharacteristic
1390C2×C4⋊C4C22×D511yescharacteristic
1391C2×C4⋊C4C22×D511yescharacteristic
1392C2×C4⋊C4C22×D518yes—
1393C2×C4⋊C4C22×D518yes—
1394C2×C4⋊C4C22×D511yescharacteristic
1395C2×C4⋊C4C22×D511yescharacteristic
1396C2×C22⋊C4—51no—
1397C2×C22⋊C4—51no—
1398C2×C22⋊C4—51no—
1399C2×C22⋊C4—51no—
1400C2×C22⋊C4—51no—
1401C2×C22⋊C4—51no—
1402C2×C22⋊C4—51no—
1403C2×C22⋊C4—51no—
1404C2×C22⋊C4—51no—
1405C2×C22⋊C4—51no—
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⋊C4C22×D511yescharacteristic
1427C2×C22⋊C4C22×D511yescharacteristic
1428C2×C22⋊C4C22×D511yescharacteristic
1429C2×C22⋊C4C22×D511yescharacteristic
1430C2×C22⋊C4C22×D511yescharacteristic
1431C2×C22⋊C4C22×D511yescharacteristic
1432C2×C22⋊C4C22×D511yescharacteristic
1433C2×C22⋊C4C22×D511yescharacteristic
1434C2×C42—51no—
1435C2×C42—51no—
1436C2×C42—51no—
1437C2×C42—51no—
1438C2×C42—51no—
1439C2×C42—51no—
1440C2×C42—51no—
1441C2×C42—51no—
1442C2×C42—51no—
1443C2×C42—58no—
1444C2×C42C22×D511yescharacteristic
1445C22×C5—22no—
1446C22×C5—22no—
1447C22×C5—28no—
1448C22×C5—22no—
1449C22×C5—22no—
1450C22×C5—22no—
1451C22×C5—22no—
1452C22×C5—22no—
1453C22×C5—22no—
1454C22×C5—22no—
1455C22×C5—22no—
1456C22×C5—22no—
1457C22×C5—44no—
1458C22×C5—44no—
1459C22×C5—44no—
1460C22×C5C2×H(5,𝔽2)14yes—
1461C22×C5C2×H(5,𝔽2)12yes—
1462C22×C5C2×2−1+412yes—
1463C22×C5#58512yes—
1464C22×C5C2611yescharacteristic
1465C2×D5—22no—
1466C2×D5—22no—
1467C2×D5—22no—
1468C2×D5—22no—
1469C2×D5—22no—
1470C2×D5—22no—
1471C2×D5—22no—
1472C2×D5—22no—
1473C2×D5—22no—
1474C2×D5—44no—
1475C2×D5—44no—
1476C2×D5—44no—
1477C4×C5—22no—
1478C4×C5—22no—
1479C4×C5—22no—
1480C4×C5—22no—
1481C4×C5—22no—
1482C4×C5—22no—
1483C4×C5—22no—
1484C4×C5—22no—
1485C4×C5—22no—
1486C4×C5—22no—
1487C4×C5—22no—
1488Dic5—22no—
1489Dic5—22no—
1490Dic5—22no—
1491Dic5—22no—
1492Dic5—22no—
1493Dic5—22no—
1494Dic5—22no—
1495Dic5—22no—
1496Dic5—22no—
1497Dic5—22no—
1498Dic5—22no—
1499Dic5—22no—
1500Dic5C2×2−1+414yes—
1501C24—51no—
1502C24—51no—
1503C24—51no—
1504C24C23×D511yescharacteristic
1505C24C23×D511yescharacteristic
1506C24C23×D511yescharacteristic
1507C24C23×D511yescharacteristic
1508#41—416no—
1509#41—416no—
1510#41—2016no—
1511#41—2016no—
1512#41—2016no—
1513#41—2016no—
1514C2×Q8—42no—
1515C2×Q8—42no—
1516C2×Q8—54no—
1517C2×Q8—54no—
1518C2×Q8—54no—
1519C2×Q8—54no—
1520C2×Q8—54no—
1521C2×Q8—202no—
1522C2×Q8—202no—
1523C2×Q8—202no—
1524C2×Q8—202no—
1525C2×Q8—202no—
1526C2×Q8C23×D514yes—
1527C2×Q8C23×D514yes—
1528C2×D4—24no—
1529C2×D4—24no—
1530C2×D4—24no—
1531C2×D4—42no—
1532C2×D4—42no—
1533C2×D4—42no—
1534C2×D4—54no—
1535C2×D4—54no—
1536C2×D4—54no—
1537C2×D4—54no—
1538C2×D4—54no—
1539C2×D4—54no—
1540C2×D4—54no—
1541C2×D4—54no—
1542C2×D4—54no—
1543C2×D4—54no—
1544C2×D4—54no—
1545C2×D4—54no—
1546C2×D4—54no—
1547C2×D4—54no—
1548C2×D4—54no—
1549C2×D4—104no—
1550C2×D4—104no—
1551C2×D4—104no—
1552C2×D4—104no—
1553C2×D4—104no—
1554C2×D4—202no—
1555C2×D4—202no—
1556C2×D4—202no—
1557C2×D4—202no—
1558C2×D4—202no—
1559C2×D4—202no—
1560C2×D4—202no—
1561C2×D4—202no—
1562C2×D4—202no—
1563C2×D4—202no—
1564C2×D4C23×D514yes—
1565C2×D4C23×D514yes—
1566C2×D4C23×D514yes—
1567C2×D4C23×D514yes—
1568C2×D4C23×D514yes—
1569C2×D4C23×D514yes—
1570C22×C4—24no—
1571C22×C4—24no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—51no—
1579C22×C4—54no—
1580C22×C4—54no—
1581C22×C4—54no—
1582C22×C4—51no—
1583C22×C4—51no—
1584C22×C4—51no—
1585C22×C4—51no—
1586C22×C4—51no—
1587C22×C4—51no—
1588C22×C4—51no—
1589C22×C4—51no—
1590C22×C4—51no—
1591C22×C4—51no—
1592C22×C4—51no—
1593C22×C4—51no—
1594C22×C4—54no—
1595C22×C4—54no—
1596C22×C4—54no—
1597C22×C4—54no—
1598C22×C4—54no—
1599C22×C4—54no—
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—104no—
1609C22×C4—104no—
1610C22×C4—104no—
1611C22×C4—104no—
1612C22×C4—202no—
1613C22×C4—202no—
1614C22×C4—202no—
1615C22×C4—202no—
1616C22×C4—202no—
1617C22×C4—202no—
1618C22×C4—202no—
1619C22×C4—202no—
1620C22×C4—202no—
1621C22×C4—202no—
1622C22×C4—202no—
1623C22×C4—202no—
1624C22×C4—202no—
1625C22×C4C23×D514yes—
1626C22×C4C23×D514yes—
1627C22×C4C23×D511yescharacteristic
1628C22×C4C23×D511yescharacteristic
1629C22×C4C23×D511yescharacteristic
1630C22×C4C23×D511yescharacteristic
1631C22×C4C23×D511yescharacteristic
1632C22×C4C23×D511yescharacteristic
1633C22×C4C23×D511yescharacteristic
1634C22×C4C23×D511yescharacteristic
1635C22×C4C23×D511yescharacteristic
1636C22×C4C23×D511yescharacteristic
1637C22×C4C23×D511yescharacteristic
1638C22×C4C23×D514yes—
1639C22×C4C23×D514yes—
1640C22×C4C23×D514yes—
1641C22×C4C23×D514yes—
1642C22×C4C23×D514yes—
1643C22×C4C23×D514yes—
1644C4⋊C4—54no—
1645C4⋊C4—54no—
1646C4⋊C4—54no—
1647C4⋊C4—54no—
1648C4⋊C4—54no—
1649C4⋊C4—54no—
1650C4⋊C4—54no—
1651C4⋊C4—54no—
1652C4⋊C4—54no—
1653C4⋊C4—54no—
1654C4⋊C4—54no—
1655C4⋊C4—54no—
1656C4⋊C4—54no—
1657C4⋊C4—54no—
1658C4⋊C4—54no—
1659C4⋊C4—54no—
1660C4⋊C4—54no—
1661C4⋊C4—54no—
1662C4⋊C4—54no—
1663C4⋊C4—54no—
1664C4⋊C4—54no—
1665C4⋊C4—54no—
1666C4⋊C4—54no—
1667C4⋊C4—54no—
1668C4⋊C4—54no—
1669C4⋊C4—54no—
1670C4⋊C4—54no—
1671C4⋊C4—54no—
1672C4⋊C4—54no—
1673C4⋊C4—54no—
1674C4⋊C4—54no—
1675C4⋊C4—54no—
1676C4⋊C4—54no—
1677C4⋊C4—54no—
1678C4⋊C4—54no—
1679C4⋊C4—54no—
1680C4⋊C4—54no—
1681C4⋊C4—54no—
1682C4⋊C4—54no—
1683C4⋊C4—54no—
1684C4⋊C4—54no—
1685C4⋊C4—54no—
1686C4⋊C4—54no—
1687C4⋊C4—54no—
1688C4⋊C4C23×D514yes—
1689C4⋊C4C23×D514yes—
1690C4⋊C4C23×D514yes—
1691C4⋊C4C23×D514yes—
1692C4⋊C4C23×D514yes—
1693C4⋊C4C23×D514yes—
1694C4⋊C4C23×D514yes—
1695C4⋊C4C23×D514yes—
1696C4⋊C4C23×D514yes—
1697C4⋊C4C23×D514yes—
1698C22⋊C4—54no—
1699C22⋊C4—54no—
1700C22⋊C4—54no—
1701C22⋊C4—54no—
1702C22⋊C4—54no—
1703C22⋊C4—54no—
1704C22⋊C4—54no—
1705C22⋊C4—54no—
1706C22⋊C4—54no—
1707C22⋊C4—54no—
1708C22⋊C4—54no—
1709C22⋊C4—54no—
1710C22⋊C4—54no—
1711C22⋊C4—54no—
1712C22⋊C4—54no—
1713C22⋊C4—54no—
1714C22⋊C4—54no—
1715C22⋊C4—54no—
1716C22⋊C4—54no—
1717C22⋊C4—54no—
1718C22⋊C4—54no—
1719C22⋊C4—54no—
1720C22⋊C4—54no—
1721C22⋊C4—54no—
1722C22⋊C4—54no—
1723C22⋊C4—54no—
1724C22⋊C4—54no—
1725C22⋊C4—54no—
1726C22⋊C4—54no—
1727C22⋊C4—54no—
1728C22⋊C4C23×D514yes—
1729C22⋊C4C23×D514yes—
1730C22⋊C4C23×D514yes—
1731C22⋊C4C23×D514yes—
1732C22⋊C4C23×D514yes—
1733C22⋊C4C23×D514yes—
1734C22⋊C4C23×D514yes—
1735C22⋊C4C23×D514yes—
1736C42—54no—
1737C42—54no—
1738C42—54no—
1739C42—54no—
1740C42—54no—
1741C42—54no—
1742C42—54no—
1743C42—54no—
1744C42—54no—
1745C42C23×D514yes—
1746C2×C5—24no—
1747C2×C5—42no—
1748C2×C5—42no—
1749C2×C5—42no—
1750C2×C5#355914yescomplemented
1751C2×C5C22×H(5,𝔽2)11yescharacteristic
1752C2×C5C22×2−1+411yescharacteristic
1753C2×C5C2×#58511yescharacteristic
1754D5—42no—
1755D5—42no—
1756D5—42no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—52no—
1769C23—52no—
1770C23—52no—
1771C23—102no—
1772C23—102no—
1773C23—102no—
1774C23—102no—
1775C23—102no—
1776C23—102no—
1777C23—102no—
1778C23—102no—
1779C23—102no—
1780C23#414414yes—
1781C23C24×D512yes—
1782C23C24×D512yes—
1783C23C24×D512yes—
1784C23C24×D512yes—
1785C23C24×D511yescharacteristic
1786Q8—44no—
1787Q8—44no—
1788Q8—204no—
1789Q8—204no—
1790Q8—204no—
1791Q8—204no—
1792Q8—204no—
1793D4—28no—
1794D4—28no—
1795D4—28no—
1796D4—44no—
1797D4—44no—
1798D4—44no—
1799D4—108no—
1800D4—108no—
1801D4—108no—
1802D4—108no—
1803D4—108no—
1804D4—204no—
1805D4—204no—
1806D4—204no—
1807D4—204no—
1808D4—204no—
1809D4—204no—
1810D4—204no—
1811D4—204no—
1812D4—204no—
1813D4—204no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—28no—
1819C2×C4—28no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—54no—
1834C2×C4—52no—
1835C2×C4—52no—
1836C2×C4—52no—
1837C2×C4—52no—
1838C2×C4—52no—
1839C2×C4—52no—
1840C2×C4—52no—
1841C2×C4—52no—
1842C2×C4—52no—
1843C2×C4—52no—
1844C2×C4—52no—
1845C2×C4—52no—
1846C2×C4—52no—
1847C2×C4—108no—
1848C2×C4—108no—
1849C2×C4—108no—
1850C2×C4—102no—
1851C2×C4—102no—
1852C2×C4—108no—
1853C2×C4—102no—
1854C2×C4—102no—
1855C2×C4—102no—
1856C2×C4—102no—
1857C2×C4—102no—
1858C2×C4—102no—
1859C2×C4—102no—
1860C2×C4—102no—
1861C2×C4—102no—
1862C2×C4—102no—
1863C2×C4—204no—
1864C2×C4—204no—
1865C2×C4—204no—
1866C2×C4—204no—
1867C2×C4—204no—
1868C2×C4—204no—
1869C2×C4—204no—
1870C2×C4—204no—
1871C2×C4—204no—
1872C2×C4—204no—
1873C2×C4—204no—
1874C2×C4—204no—
1875C2×C4—204no—
1876C2×C4C24×D512yes—
1877C2×C4C24×D512yes—
1878C2×C4C24×D512yes—
1879C2×C4C24×D512yes—
1880C2×C4C24×D512yes—
1881C2×C4C24×D512yes—
1882C2×C4C24×D512yes—
1883C2×C4C24×D512yes—
1884C2×C4C24×D512yes—
1885C2×C4C24×D512yes—
1886C2×C4C24×D512yes—
1887C5C2×#355911yescharacteristic, complemented, Sylow
1888C22—22no—
1889C22—22no—
1890C22—28no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—44no—
1902C22—44no—
1903C22—102no—
1904C22—102no—
1905C22—102no—
1906C22—102no—
1907C22—102no—
1908C22—102no—
1909C22—102no—
1910C22—102no—
1911C22—102no—
1912C22—204no—
1913C22—204no—
1914C22—204no—
1915C22C2×#414414yes—
1916C22C2×#414412yes—
1917C22#6628312yes—
1918C22D5×2−1+412yes—
1919C22C25×D511yescharacteristic
1920C4—22no—
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—54no—
1932C4—102no—
1933C4—102no—
1934C4—102no—
1935C4—102no—
1936C4—102no—
1937C4—102no—
1938C4—102no—
1939C4—102no—
1940C4—102no—
1941C4—102no—
1942C4—102no—
1943C4—102no—
1944C2—24no—
1945C2—42no—
1946C2—42no—
1947C2—42no—
1948C2—202no—
1949C2—202no—
1950C2—202no—
1951C2#1061859614yesdirect product factor
1952C2C22×#414411yescharacteristic
1953C2C2×#6628311yescharacteristic
1954C2C2×D5×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D5
commutator, cosocleC22×C5C26
FrattiniC22C25×D5
FittingC2×C5×#547C2
socleC23×C5C25
hypercenterC2×#547D5
hypocenterC5C2×#3559
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. C2×C5×#547C2semidirect
2. C2×#66167C2semidirect
3. C2×#66158C2semidirect
4. C2×#66158C2semidirect
5. C2×#66166C2semidirect
6. #10618596C2direct (N × H)
7. C2×#66069C2semidirect
8. C2×#66063C2semidirect
9. C2×#65989C2semidirect
10. C2×#65989C2semidirect
11. C2×#65994C2semidirect
12. C2×#65985C2semidirect
13. C2×#65995C2semidirect
14. C2×#65997C2semidirect
15. C2×#65999C2semidirect
16. C2×#65983C2semidirect
17. C2×#65981C2semidirect
18. C2×#65972C2semidirect
19. C2×#65970C2semidirect
20. C2×#65957C2semidirect
21. C2×#65955C2semidirect
22. C2×#65935C2semidirect
23. C2×#65949C2semidirect
24. C2×#65931C2semidirect
25. C2×#65874C2semidirect
26. C2×#65874C2semidirect
27. C2×#65898C2semidirect
28. C2×#65898C2semidirect
29. C2×#65841C2semidirect
30. C2×#65849C2semidirect
31. C2×#65845C2semidirect
32. C22×#4035C2semidirect
39. C5×#547C22semidirect
53. #66167C22semidirect
54. #66166C22semidirect
55. #66158C22semidirect
56. #66158C22semidirect
117. #66069C22semidirect
118. #66063C22semidirect
119. #65999C22semidirect
120. #65997C22semidirect
121. #65995C22semidirect
122. #65994C22semidirect
123. #65989C22semidirect
124. #65989C22semidirect
125. #65985C22semidirect
126. #65983C22semidirect
127. #65981C22semidirect
128. #65972C22semidirect
129. #65970C22semidirect
130. #65957C22semidirect
131. #65955C22semidirect
132. #65949C22semidirect
133. #65935C22semidirect
134. #65931C22semidirect
135. #65898C22semidirect
136. #65898C22semidirect
137. #65874C22semidirect
138. #65874C22semidirect
139. #65849C22semidirect
143. #65845C22semidirect
152. #65841C22semidirect
178. C2×#4035C22semidirect
552. C2×#547D5semidirect
834. #547C2×D5semidirect
1750. C2×C5#3559semidirect
1887. C5C2×#3559semidirect
1951. C2#10618596direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C5×#5472
C2×#661672
C2×#661582
C2×#661662
#106185962
C2×#660692
C2×#660632
C2×#659892
C2×#659942
C2×#659852
C2×#659952
C2×#659972
C2×#659992
C2×#659832
C2×#659812
C2×#659722
C2×#659702
C2×#659572
C2×#659552
C2×#659352
C2×#659492
C2×#659312
C2×#658742
C2×#658982
C2×#658412
C2×#658492
C2×#658452
C22×#40352
C2×#35595