Finite Group Databasebeta

← C2×#11743426 #14260994

Subgroups — C2×#11743426 #14260994

Order 1792.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#536C211yesmaximal, characteristic, complemented
2C2×#90520C211yesmaximal, characteristic, complemented
3C2×#90515C211yesmaximal, characteristic, complemented
4C2×#90507C211yesmaximal, characteristic, complemented
5C22×#6509C211yesmaximal, characteristic, complemented
6#11743426C2132yesmaximal, direct product factor
7C2×#90426C211yesmaximal, characteristic, complemented
8C2×#90421C211yesmaximal, characteristic, complemented
9C2×#90420C211yesmaximal, characteristic, complemented
10C2×#90424C211yesmaximal, characteristic, complemented
11C2×#90370C211yesmaximal, characteristic, complemented
12C2×#90369C211yesmaximal, characteristic, complemented
13C2×#90375C211yesmaximal, characteristic, complemented
14C2×#90360C211yesmaximal, characteristic, complemented
15C2×#90349C211yesmaximal, characteristic, complemented
16C2×#90346C211yesmaximal, characteristic, complemented
17C2×#90345C211yesmaximal, characteristic, complemented
18C2×D7×#123C211yesmaximal, characteristic, complemented
19C2×#90341C211yesmaximal, characteristic, complemented
20C2×#90356C211yesmaximal, characteristic, complemented
21C2×#90356C211yesmaximal, characteristic, complemented
22C2×#90347C211yesmaximal, characteristic, complemented
23C2×#90338C211yesmaximal, characteristic, complemented
24C2×#90328C211yesmaximal, characteristic, complemented
25C2×#90325C211yesmaximal, characteristic, complemented
26C2×#90329C211yesmaximal, characteristic, complemented
27C2×#90329C211yesmaximal, characteristic, complemented
28C2×#90337C211yesmaximal, characteristic, complemented
29C2×#90327C211yesmaximal, characteristic, complemented
30C2×#90336C211yesmaximal, characteristic, complemented
31C2×#90218C211yesmaximal, characteristic, complemented
32C2×#90222C211yesmaximal, characteristic, complemented
33C22×C7×#41C2211yescharacteristic
34C23×C7×Q8C2211yescharacteristic, complemented
35C22×#1159C2211yescharacteristic, complemented
36C22×D4×D7C2211yescharacteristic
37C22×#1157C2211yescharacteristic
38C23×C4×D7C2211yescharacteristic
39C7×#536C22116yescomplemented
40C2×C7×C4⋊Q8C2211yescharacteristic, complemented
41C2×C7×C4⋊Q8C2211yescharacteristic, complemented
42C2×C7×#124C2211yescharacteristic, complemented
43C2×C7×#124C2211yescharacteristic, complemented
44C2×C7×#123C2211yescharacteristic
45C2×C7×#123C2211yescharacteristic
46C2×C7×#123C2211yescharacteristic, complemented
47C2×C7×#123C2211yescharacteristic, complemented
48C2×C7×C22⋊Q8C2211yescharacteristic, complemented
49C2×C7×C22⋊Q8C2211yescharacteristic, complemented
50C2×C7×C22⋊Q8C2211yescharacteristic, complemented
51C2×C7×C22⋊Q8C2211yescharacteristic, complemented
52C2×C7×#117C2211yescharacteristic, complemented
53#90520C22116yescomplemented
54#90515C22116yescomplemented
55#90507C22116yescomplemented
56C2×#6510C2211yescharacteristic
57C2×#6510C2211yescharacteristic, complemented
58C2×#6510C2211yescharacteristic, complemented
59C2×#6509C2211yescharacteristic
60C2×#6509C2211yescharacteristic
61C2×#6509C2211yescharacteristic
62C2×#6509C2211yescharacteristic
63C2×#6509C2211yescharacteristic
64C2×#6509C2211yescharacteristic, complemented
65C2×#6509C2211yescharacteristic, complemented
66C2×#6509C2211yescharacteristic, complemented
67C2×#6509C2211yescharacteristic, complemented
68C2×#6509C2211yescharacteristic, complemented
69C2×#6509C2211yescharacteristic, complemented
70C2×#6509C2211yescharacteristic, complemented
71C2×#6509C2211yescharacteristic, complemented
72C2×#6509C2211yescharacteristic, complemented
73C2×#6509C22116yescomplemented
74C2×#6507C2211yescharacteristic, complemented
75C2×#6507C2211yescharacteristic, complemented
76C2×#6507C2211yescharacteristic, complemented
77C2×#6502C2211yescharacteristic
78C2×#6502C2211yescharacteristic
79C2×#6502C2211yescharacteristic
80C2×#6502C2211yescharacteristic, complemented
81C2×#6500C2211yescharacteristic
82C2×#6500C2211yescharacteristic
83C2×#6498C2211yescharacteristic
84C2×#6498C2211yescharacteristic, complemented
85C2×D4×Dic7C2211yescharacteristic
86C2×D4×Dic7C2211yescharacteristic, complemented
87C2×#6493C2211yescharacteristic
88C2×#6492C2211yescharacteristic
89C2×#6492C2211yescharacteristic
90C2×#6492C2211yescharacteristic
91C2×#6492C2211yescharacteristic, complemented
92C2×#6492C2211yescharacteristic, complemented
93C2×#6492C2211yescharacteristic, complemented
94C2×C4×C22⋊D7C2211yescharacteristic
95C2×C4×C22⋊D7C2211yescharacteristic, complemented
96C22×(C2×D7)⋊C4C2211yescharacteristic
97C22×(C2×D7)⋊C4C2211yescharacteristic
98C22×(C2×D7)⋊C4C2211yescharacteristic
99C2×#6489C2211yescharacteristic, complemented
100C22×C4⋊Dic7C2211yescharacteristic, complemented
101C2×#6487C2211yescharacteristic, complemented
102C22×Dic7⋊C4C2211yescharacteristic, complemented
103C22×Dic7⋊C4C2211yescharacteristic, complemented
104C22×Dic7⋊C4C2211yescharacteristic, complemented
105#90426C22116yescomplemented
106#90424C22116yescomplemented
107#90421C22116yescomplemented
108#90420C22116yescomplemented
109#90375C22116yescomplemented
110#90370C22116yescomplemented
111#90369C22116yescomplemented
112#90360C22116yescomplemented
113#90356C22116yescomplemented
114#90356C22116yescomplemented
115#90349C22116yescomplemented
116#90347C22116yescomplemented
117#90346C22116yescomplemented
118#90345C22116yescomplemented
119D7×#123C22116yescomplemented
120#90341C22116yescomplemented
121#90338C22116yescomplemented
122#90337C22116yescomplemented
123#90336C22116yescomplemented
124#90329C22116yescomplemented
125#90329C22116yescomplemented
126#90328C22116yescomplemented
127#90327C22116yescomplemented
128#90325C22116yescomplemented
129#90222C22116yescomplemented
130#90218C22116yescomplemented
131C2×#6461C2211yescharacteristic, complemented
132C2×#6461C2211yescharacteristic, complemented
133C2×#6461C2211yescharacteristic, complemented
134C2×#6461C2211yescharacteristic, complemented
135C2×#6461C2211yescharacteristic, complemented
136C2×#6461C2211yescharacteristic, complemented
137C2×#6460C2211yescharacteristic
138C2×#6460C2211yescharacteristic, complemented
139C2×#6460C2211yescharacteristic, complemented
140C2×#6459C2211yescharacteristic
141C2×#6459C2211yescharacteristic
142C2×#6459C2211yescharacteristic
143C2×#6459C2211yescharacteristic, complemented
144C2×#6459C2211yescharacteristic, complemented
145C2×#6459C2211yescharacteristic, complemented
146C2×#6458C2211yescharacteristic
147C2×#6457C2211yescharacteristic
148C2×#6457C2211yescharacteristic
149C2×#6457C2211yescharacteristic
150C2×#6457C2211yescharacteristic
151C2×#6457C2211yescharacteristic, complemented
152C2×#6457C2211yescharacteristic, complemented
153C2×#6456C2211yescharacteristic
154C2×#6456C2211yescharacteristic
155C2×#6456C2211yescharacteristic, complemented
156C2×#6455C2211yescharacteristic
157C2×D7×C4⋊C4C2211yescharacteristic
158C2×D7×C4⋊C4C2211yescharacteristic
159C2×D7×C4⋊C4C2211yescharacteristic, complemented
160C2×#6453C2211yescharacteristic, complemented
161C2×#6453C2211yescharacteristic, complemented
162C2×#6453C2211yescharacteristic, complemented
163C2×#6452C2211yescharacteristic, complemented
164C2×#6452C2211yescharacteristic, complemented
165C2×#6452C2211yescharacteristic, complemented
166C2×#6452C2211yescharacteristic, complemented
167C2×#6452C2211yescharacteristic, complemented
168C2×#6452C2211yescharacteristic, complemented
169C2×#6451C2211yescharacteristic, complemented
170C2×#6450C2211yescharacteristic, complemented
171C2×#6449C2211yescharacteristic
172C2×#6449C2211yescharacteristic, complemented
173C2×#6449C2211yescharacteristic, complemented
174C2×#6449C2211yescharacteristic, complemented
175C2×#6448C2211yescharacteristic
176C2×#6448C2211yescharacteristic, complemented
177C2×#6447C2211yescharacteristic
178C2×#6447C2211yescharacteristic
179C2×#6447C2211yescharacteristic, complemented
180C2×#6447C2211yescharacteristic, complemented
181C2×#6446C2211yescharacteristic
182C2×#6446C2211yescharacteristic
183C2×#6446C2211yescharacteristic
184C2×#6446C2211yescharacteristic, complemented
185C2×#6446C2211yescharacteristic, complemented
186C2×#6446C2211yescharacteristic, complemented
187C2×#6445C2211yescharacteristic
188C2×#6445C2211yescharacteristic
189C2×(C22⋊D7)⋊C4C2211yescharacteristic
190C2×(C22⋊D7)⋊C4C2211yescharacteristic
191C2×(C22⋊D7)⋊C4C2211yescharacteristic
192C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
193C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
194C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
195C2×D7×C22⋊C4C2211yescharacteristic
196C2×D7×C22⋊C4C2211yescharacteristic
197C2×D7×C22⋊C4C2211yescharacteristic
198C2×D7×C22⋊C4C2211yescharacteristic
199C2×#6442C2211yescharacteristic, complemented
200C2×#6442C2211yescharacteristic, complemented
201C2×#6442C2211yescharacteristic, complemented
202C2×#6442C2211yescharacteristic, complemented
203C2×#6441C2211yescharacteristic, complemented
204C2×#6441C2211yescharacteristic, complemented
205C2×#6441C2211yescharacteristic, complemented
206C2×#6441C2211yescharacteristic, complemented
207C2×#6441C2211yescharacteristic, complemented
208C2×#6441C2211yescharacteristic, complemented
209C2×#6440C2211yescharacteristic, complemented
210C2×#6440C2211yescharacteristic, complemented
211C2×#6439C2211yescharacteristic, complemented
212C2×#6439C2211yescharacteristic, complemented
213C2×#6438C2211yescharacteristic, complemented
214C2×C4×D28C2211yescharacteristic
215C2×#6435C2211yescharacteristic
216C2×#6435C2211yescharacteristic, complemented
217C2×#6433C2211yescharacteristic, complemented
218C2×C4×Dic14C2211yescharacteristic, complemented
219C2×#3535—71nomaximal, Sylow
220C24×D7C2311yescharacteristic
221C24×D7C2311yescharacteristic
222C2×C7×#41—44no—
223C2×C7×#41C2318yes—
224C22×C7×Q8—44no—
225C22×C7×Q8C2311yescharacteristic
226C22×C7×Q8C2311yescharacteristic
227C22×C7×Q8C2311yescharacteristic
228C22×C7×Q8C2311yescharacteristic
229C22×C7×Q8C2311yescharacteristic
230C22×C7×Q8C2318yescomplemented
231C22×C7×D4C2311yescharacteristic
232C22×C7×D4C2311yescharacteristic
233C22×C7×D4C2311yescharacteristic
234C23×C4×C7C2311yescharacteristic
235C23×C4×C7C2311yescharacteristic
236C23×C4×C7C2311yescharacteristic
237C23×C4×C7C2311yescharacteristic
238C23×C4×C7C2311yescharacteristic
239C22×C22⋊D7C2311yescharacteristic
240C22×C22⋊D7C2311yescharacteristic
241C22×C22⋊D7C2311yescharacteristic
242C22×C22⋊D7C2311yescharacteristic
243C22×C22⋊D7C2311yescharacteristic
244C22×C22⋊D7C2311yescharacteristic
245C22×C22⋊D7C2311yescharacteristic
246C22×C22⋊D7C2311yescharacteristic
247C23×Dic7C2311yescharacteristic
248C23×Dic7C2311yescharacteristic
249C23×Dic7C2311yescharacteristic
250C23×Dic7C2311yescharacteristic
251C23×Dic7C2311yescharacteristic
252C23×Dic7C2311yescharacteristic
253C2×#1159—44no—
254C2×#1159C2318yescomplemented
255C2×D4×D7—44no—
256C2×D4×D7C2318yes—
257C2×#1157—44no—
258C2×#1157C2318yes—
259C22×D28C2311yescharacteristic
260C22×D28C2311yescharacteristic
261C22×D28C2311yescharacteristic
262C22×D28C2311yescharacteristic
263C22×C4×D7—44no—
264C22×C4×D7C2311yescharacteristic
265C22×C4×D7C2311yescharacteristic
266C22×C4×D7C2311yescharacteristic
267C22×C4×D7C2311yescharacteristic
268C22×C4×D7C2311yescharacteristic
269C22×C4×D7C2311yescharacteristic
270C22×C4×D7C2311yescharacteristic
271C22×C4×D7C2311yescharacteristic
272C22×C4×D7C2311yescharacteristic
273C22×C4×D7C2311yescharacteristic
274C22×C4×D7C2311yescharacteristic
275C22×C4×D7C2311yescharacteristic
276C22×C4×D7C2318yes—
277C22×Dic14C2311yescharacteristic
278C22×Dic14C2311yescharacteristic
279C22×Dic14C2311yescharacteristic
280C22×Dic14C2311yescharacteristic
281C7×C4⋊Q8C2318yescomplemented
282C7×C4⋊Q8C2318yescomplemented
283C7×#124C2318yescomplemented
284C7×#124C2318yescomplemented
285C7×#123C2318yes—
286C7×#123C2318yes—
287C7×#123C2318yescomplemented
288C7×#123C2318yescomplemented
289C7×C22⋊Q8C2318yescomplemented
290C7×C22⋊Q8C2318yescomplemented
291C7×C22⋊Q8C2318yescomplemented
292C7×C22⋊Q8C2318yescomplemented
293C7×#117C2318yescomplemented
294C2×C7×C4⋊C4C2311yescharacteristic
295C2×C7×C4⋊C4C2311yescharacteristic
296C2×C7×C4⋊C4C2311yescharacteristic
297C2×C7×C4⋊C4C2311yescharacteristic
298C2×C7×C4⋊C4C2311yescharacteristic
299C2×C7×C4⋊C4C2311yescharacteristic
300C2×C7×C4⋊C4C2311yescharacteristic
301C2×C7×C4⋊C4C2311yescharacteristic
302C2×C7×C4⋊C4C2311yescharacteristic
303C2×C7×C4⋊C4C2311yescharacteristic
304C2×C7×C22⋊C4C2311yescharacteristic
305C2×C7×C22⋊C4C2311yescharacteristic
306C2×C7×C22⋊C4C2311yescharacteristic
307C2×C7×C22⋊C4C2311yescharacteristic
308C2×C7×C22⋊C4C2311yescharacteristic
309C2×C7×C22⋊C4C2311yescharacteristic
310C2×C7×C22⋊C4C2311yescharacteristic
311C2×C7×C22⋊C4C2311yescharacteristic
312C2×C7×C22⋊C4C2311yescharacteristic
313C2×C7×C22⋊C4C2311yescharacteristic
314C2×C42×C7C2311yescharacteristic
315C2×C42×C7C2311yescharacteristic
316C2×C22⋊Dic7C2311yescharacteristic
317C2×C22⋊Dic7C2311yescharacteristic
318C2×C22⋊Dic7C2311yescharacteristic
319C2×C22⋊Dic7C2311yescharacteristic
320C2×C22⋊Dic7C2311yescharacteristic
321C2×C22⋊Dic7C2311yescharacteristic
322C2×C22⋊Dic7C2311yescharacteristic
323C2×C22⋊Dic7C2311yescharacteristic
324#6510C2318yes—
325#6510C2318yescomplemented
326#6510C2318yescomplemented
327#6509C2318yes—
328#6509C2318yes—
329#6509C2318yes—
330#6509C2318yes—
331#6509C2318yes—
332#6509C2318yescomplemented
333#6509C2318yescomplemented
334#6509C2318yescomplemented
335#6509C2318yescomplemented
336#6509C2318yescomplemented
337#6509C2318yescomplemented
338#6509C2318yescomplemented
339#6509C2318yescomplemented
340#6509C2318yescomplemented
341#6507C2318yescomplemented
342#6507C2318yescomplemented
343#6507C2318yescomplemented
344#6502C2318yes—
345#6502C2318yes—
346#6502C2318yes—
347#6502C2318yescomplemented
348#6500C2318yes—
349#6500C2318yes—
350#6498C2318yes—
351#6498C2318yescomplemented
352D4×Dic7C2318yes—
353D4×Dic7C2318yescomplemented
354#6493C2318yes—
355#6492C2318yes—
356#6492C2318yes—
357#6492C2318yes—
358#6492C2318yescomplemented
359#6492C2318yescomplemented
360#6492C2318yescomplemented
361C4×C22⋊D7C2318yes—
362C4×C22⋊D7C2318yescomplemented
363C2×(C2×D7)⋊C4C2311yescharacteristic
364C2×(C2×D7)⋊C4C2311yescharacteristic
365C2×(C2×D7)⋊C4C2311yescharacteristic
366C2×(C2×D7)⋊C4C2311yescharacteristic
367C2×(C2×D7)⋊C4C2311yescharacteristic
368C2×(C2×D7)⋊C4C2311yescharacteristic
369C2×(C2×D7)⋊C4C2311yescharacteristic
370C2×(C2×D7)⋊C4C2311yescharacteristic
371C2×(C2×D7)⋊C4C2311yescharacteristic
372C2×(C2×D7)⋊C4C2311yescharacteristic
373C2×(C2×D7)⋊C4C2311yescharacteristic
374C2×(C2×D7)⋊C4C2311yescharacteristic
375C2×(C2×D7)⋊C4C2311yescharacteristic
376C2×(C2×D7)⋊C4C2311yescharacteristic
377C2×(C2×D7)⋊C4C2311yescharacteristic
378C2×(C2×D7)⋊C4C2311yescharacteristic
379C2×(C2×D7)⋊C4C2311yescharacteristic
380C2×(C2×D7)⋊C4C2311yescharacteristic
381C2×(C2×D7)⋊C4C2311yescharacteristic
382C2×(C2×D7)⋊C4C2311yescharacteristic
383C2×(C2×D7)⋊C4C2311yescharacteristic
384C2×(C2×D7)⋊C4C2311yescharacteristic
385C2×(C2×D7)⋊C4C2311yescharacteristic
386C2×(C2×D7)⋊C4C2311yescharacteristic
387C2×(C2×D7)⋊C4C2311yescharacteristic
388C2×(C2×D7)⋊C4C2311yescharacteristic
389C2×(C2×D7)⋊C4C2311yescharacteristic
390C2×(C2×D7)⋊C4C2311yescharacteristic
391C2×(C2×D7)⋊C4C2318yes—
392C2×(C2×D7)⋊C4C2318yes—
393C2×(C2×D7)⋊C4C2318yes—
394#6489C2318yescomplemented
395C2×C4⋊Dic7C2311yescharacteristic
396C2×C4⋊Dic7C2311yescharacteristic
397C2×C4⋊Dic7C2311yescharacteristic
398C2×C4⋊Dic7C2311yescharacteristic
399C2×C4⋊Dic7C2311yescharacteristic
400C2×C4⋊Dic7C2311yescharacteristic
401C2×C4⋊Dic7C2311yescharacteristic
402C2×C4⋊Dic7C2311yescharacteristic
403C2×C4⋊Dic7C2311yescharacteristic
404C2×C4⋊Dic7C2311yescharacteristic
405C2×C4⋊Dic7C2311yescharacteristic
406C2×C4⋊Dic7C2311yescharacteristic
407C2×C4⋊Dic7C2318yescomplemented
408#6487C2318yescomplemented
409C2×Dic7⋊C4C2311yescharacteristic
410C2×Dic7⋊C4C2311yescharacteristic
411C2×Dic7⋊C4C2311yescharacteristic
412C2×Dic7⋊C4C2311yescharacteristic
413C2×Dic7⋊C4C2311yescharacteristic
414C2×Dic7⋊C4C2311yescharacteristic
415C2×Dic7⋊C4C2311yescharacteristic
416C2×Dic7⋊C4C2311yescharacteristic
417C2×Dic7⋊C4C2311yescharacteristic
418C2×Dic7⋊C4C2311yescharacteristic
419C2×Dic7⋊C4C2311yescharacteristic
420C2×Dic7⋊C4C2311yescharacteristic
421C2×Dic7⋊C4C2311yescharacteristic
422C2×Dic7⋊C4C2311yescharacteristic
423C2×Dic7⋊C4C2311yescharacteristic
424C2×Dic7⋊C4C2311yescharacteristic
425C2×Dic7⋊C4C2311yescharacteristic
426C2×Dic7⋊C4C2311yescharacteristic
427C2×Dic7⋊C4C2311yescharacteristic
428C2×Dic7⋊C4C2311yescharacteristic
429C2×Dic7⋊C4C2311yescharacteristic
430C2×Dic7⋊C4C2311yescharacteristic
431C2×Dic7⋊C4C2311yescharacteristic
432C2×Dic7⋊C4C2311yescharacteristic
433C2×Dic7⋊C4C2311yescharacteristic
434C2×Dic7⋊C4C2311yescharacteristic
435C2×Dic7⋊C4C2311yescharacteristic
436C2×Dic7⋊C4C2311yescharacteristic
437C2×Dic7⋊C4C2318yescomplemented
438C2×Dic7⋊C4C2318yescomplemented
439C2×Dic7⋊C4C2318yescomplemented
440C2×C4×Dic7C2311yescharacteristic
441C2×C4×Dic7C2311yescharacteristic
442C2×C4×Dic7C2311yescharacteristic
443C2×C4×Dic7C2311yescharacteristic
444C2×C4×Dic7C2311yescharacteristic
445C2×C4×Dic7C2311yescharacteristic
446C2×C4×Dic7C2311yescharacteristic
447C2×C4×Dic7C2311yescharacteristic
448#6461C2318yescomplemented
449#6461C2318yescomplemented
450#6461C2318yescomplemented
451#6461C2318yescomplemented
452#6461C2318yescomplemented
453#6461C2318yescomplemented
454#6460C2318yes—
455#6460C2318yescomplemented
456#6460C2318yescomplemented
457#6459C2318yes—
458#6459C2318yes—
459#6459C2318yes—
460#6459C2318yescomplemented
461#6459C2318yescomplemented
462#6459C2318yescomplemented
463#6458C2318yes—
464#6457C2318yes—
465#6457C2318yes—
466#6457C2318yes—
467#6457C2318yes—
468#6457C2318yescomplemented
469#6457C2318yescomplemented
470#6456C2318yes—
471#6456C2318yes—
472#6456C2318yescomplemented
473#6455C2318yes—
474D7×C4⋊C4C2318yes—
475D7×C4⋊C4C2318yes—
476D7×C4⋊C4C2318yescomplemented
477#6453C2318yescomplemented
478#6453C2318yescomplemented
479#6453C2318yescomplemented
480#6452C2318yescomplemented
481#6452C2318yescomplemented
482#6452C2318yescomplemented
483#6452C2318yescomplemented
484#6452C2318yescomplemented
485#6452C2318yescomplemented
486#6451C2318yescomplemented
487#6450C2318yescomplemented
488#6449C2318yes—
489#6449C2318yescomplemented
490#6449C2318yescomplemented
491#6449C2318yescomplemented
492#6448C2318yes—
493#6448C2318yescomplemented
494#6447C2318yes—
495#6447C2318yes—
496#6447C2318yescomplemented
497#6447C2318yescomplemented
498#6446C2318yes—
499#6446C2318yes—
500#6446C2318yes—
501#6446C2318yescomplemented
502#6446C2318yescomplemented
503#6446C2318yescomplemented
504#6445C2318yes—
505#6445C2318yes—
506(C22⋊D7)⋊C4C2318yes—
507(C22⋊D7)⋊C4C2318yes—
508(C22⋊D7)⋊C4C2318yes—
509(C22⋊D7)⋊C4C2318yescomplemented
510(C22⋊D7)⋊C4C2318yescomplemented
511(C22⋊D7)⋊C4C2318yescomplemented
512D7×C22⋊C4C2318yes—
513D7×C22⋊C4C2318yes—
514D7×C22⋊C4C2318yes—
515D7×C22⋊C4C2318yes—
516#6442C2318yescomplemented
517#6442C2318yescomplemented
518#6442C2318yescomplemented
519#6442C2318yescomplemented
520#6441C2318yescomplemented
521#6441C2318yescomplemented
522#6441C2318yescomplemented
523#6441C2318yescomplemented
524#6441C2318yescomplemented
525#6441C2318yescomplemented
526#6440C2318yescomplemented
527#6440C2318yescomplemented
528#6439C2318yescomplemented
529#6439C2318yescomplemented
530#6438C2318yescomplemented
531C4×D28C2318yes—
532#6435C2318yes—
533#6435C2318yescomplemented
534#6433C2318yescomplemented
535C4×Dic14C2318yescomplemented
536#3535—732no—
537C2×#563—71no—
538C2×#563—71no—
539C2×#562—71no—
540C2×#562—71no—
541C2×#554—71no—
542C2×#554—71no—
543C2×#552—71no—
544C2×#552—71no—
545C2×#551—71no—
546C2×#551—71no—
547C2×#551—71no—
548C2×#551—71no—
549C2×#547—71no—
550C2×#547—71no—
551C2×#546—71no—
552C2×#546—71no—
553C2×#544—71no—
554C2×#543—71no—
555C2×#542—71no—
556C2×#542—71no—
557C2×#539—71no—
558C2×#539—71no—
559C2×#539—71no—
560C2×#539—71no—
561C2×#539—71no—
562C2×#538—71no—
563C2×#536—71no—
564C2×#536D711yescharacteristic, complemented
565C2×#525—71no—
566C22×#123—71no—
567C22×C22⋊Q8—71no—
568C24×C7C2411yescharacteristic
569C24×C7C2411yescharacteristic
570C24×C7C2411yescharacteristic
571C23×D7—24no—
572C23×D7—24no—
573C23×D7—24no—
574C23×D7—42no—
575C23×D7—42no—
576C23×D7—42no—
577C23×D7C2411yescharacteristic
578C23×D7C2411yescharacteristic
579C23×D7C2411yescharacteristic
580C23×D7C2414yes—
581C23×D7C2411yescharacteristic
582C23×D7C2414yes—
583C7×#41—416no—
584C2×C7×Q8—42no—
585C2×C7×Q8—42no—
586C2×C7×Q8—42no—
587C2×C7×Q8—42no—
588C2×C7×Q8—416no—
589C2×C7×Q8—42no—
590C2×C7×Q8C2414yes—
591C2×C7×Q8C2414yes—
592C2×C7×Q8C2414yes—
593C2×C7×Q8C2414yes—
594C2×C7×Q8C2414yes—
595C2×C7×D4—24no—
596C2×C7×D4—24no—
597C2×C7×D4—42no—
598C2×C7×D4C2414yes—
599C2×C7×D4C2414yes—
600C2×C7×D4C2414yes—
601C22×C4×C7—24no—
602C22×C4×C7—24no—
603C22×C4×C7—24no—
604C22×C4×C7—42no—
605C22×C4×C7—42no—
606C22×C4×C7C2411yescharacteristic
607C22×C4×C7C2411yescharacteristic
608C22×C4×C7C2411yescharacteristic
609C22×C4×C7C2411yescharacteristic
610C22×C4×C7C2411yescharacteristic
611C22×C4×C7C2411yescharacteristic
612C22×C4×C7C2411yescharacteristic
613C22×C4×C7C2411yescharacteristic
614C22×C4×C7C2411yescharacteristic
615C22×C4×C7C2411yescharacteristic
616C22×C4×C7C2411yescharacteristic
617C22×C4×C7C2411yescharacteristic
618C22×C4×C7C2414yes—
619C22×C4×C7C2414yes—
620C22×C4×C7C2414yes—
621C22×C4×C7C2414yes—
622C22×C4×C7C2414yes—
623C2×C22⋊D7—24no—
624C2×C22⋊D7—24no—
625C2×C22⋊D7—24no—
626C2×C22⋊D7—42no—
627C2×C22⋊D7—42no—
628C2×C22⋊D7—42no—
629C2×C22⋊D7—42no—
630C2×C22⋊D7—42no—
631C2×C22⋊D7C2414yes—
632C2×C22⋊D7C2414yes—
633C2×C22⋊D7C2414yes—
634C2×C22⋊D7C2414yes—
635C2×C22⋊D7C2414yes—
636C2×C22⋊D7C2414yes—
637C2×C22⋊D7C2414yes—
638C2×C22⋊D7C2414yes—
639C22×Dic7—24no—
640C22×Dic7—42no—
641C22×Dic7—42no—
642C22×Dic7—42no—
643C22×Dic7—42no—
644C22×Dic7—42no—
645C22×Dic7C2414yes—
646C22×Dic7C2411yescharacteristic
647C22×Dic7C2411yescharacteristic
648C22×Dic7C2411yescharacteristic
649C22×Dic7C2411yescharacteristic
650C22×Dic7C2411yescharacteristic
651C22×Dic7C2411yescharacteristic
652C22×Dic7C2411yescharacteristic
653C22×Dic7C2411yescharacteristic
654C22×Dic7C2411yescharacteristic
655C22×Dic7C2411yescharacteristic
656C22×Dic7C2411yescharacteristic
657C22×Dic7C2411yescharacteristic
658C22×Dic7C2414yes—
659C22×Dic7C2414yes—
660C22×Dic7C2414yes—
661C22×Dic7C2414yes—
662C22×Dic7C2414yes—
663#1159—416no—
664D4×D7—416no—
665#1157—416no—
666C2×D28—24no—
667C2×D28—42no—
668C2×D28—42no—
669C2×D28—42no—
670C2×D28C2414yes—
671C2×D28C2414yes—
672C2×D28C2414yes—
673C2×D28C2414yes—
674C2×C4×D7—24no—
675C2×C4×D7—42no—
676C2×C4×D7—42no—
677C2×C4×D7—42no—
678C2×C4×D7—42no—
679C2×C4×D7—416no—
680C2×C4×D7—42no—
681C2×C4×D7—42no—
682C2×C4×D7—42no—
683C2×C4×D7—42no—
684C2×C4×D7—42no—
685C2×C4×D7—42no—
686C2×C4×D7—42no—
687C2×C4×D7C2414yes—
688C2×C4×D7C2414yes—
689C2×C4×D7C2414yes—
690C2×C4×D7C2414yes—
691C2×C4×D7C2414yes—
692C2×C4×D7C2414yes—
693C2×C4×D7C2414yes—
694C2×C4×D7C2414yes—
695C2×C4×D7C2414yes—
696C2×C4×D7C2414yes—
697C2×C4×D7C2414yes—
698C2×C4×D7C2414yes—
699C2×Dic14—42no—
700C2×Dic14—42no—
701C2×Dic14—42no—
702C2×Dic14—42no—
703C2×Dic14C2414yes—
704C2×Dic14C2414yes—
705C2×Dic14C2414yes—
706C2×Dic14C2414yes—
707C7×C4⋊C4C2414yes—
708C7×C4⋊C4C2414yes—
709C7×C4⋊C4C2414yes—
710C7×C4⋊C4C2414yes—
711C7×C4⋊C4C2414yes—
712C7×C4⋊C4C2414yes—
713C7×C4⋊C4C2414yes—
714C7×C4⋊C4C2414yes—
715C7×C4⋊C4C2414yes—
716C7×C4⋊C4C2414yes—
717C7×C22⋊C4C2414yes—
718C7×C22⋊C4C2414yes—
719C7×C22⋊C4C2414yes—
720C7×C22⋊C4C2414yes—
721C7×C22⋊C4C2414yes—
722C7×C22⋊C4C2414yes—
723C7×C22⋊C4C2414yes—
724C7×C22⋊C4C2414yes—
725C7×C22⋊C4C2414yes—
726C7×C22⋊C4C2414yes—
727C42×C7C2414yes—
728C42×C7C2414yes—
729C22⋊Dic7C2414yes—
730C22⋊Dic7C2414yes—
731C22⋊Dic7C2414yes—
732C22⋊Dic7C2414yes—
733C22⋊Dic7C2414yes—
734C22⋊Dic7C2414yes—
735C22⋊Dic7C2414yes—
736C22⋊Dic7C2414yes—
737(C2×D7)⋊C4C2414yes—
738(C2×D7)⋊C4C2414yes—
739(C2×D7)⋊C4C2414yes—
740(C2×D7)⋊C4C2414yes—
741(C2×D7)⋊C4C2414yes—
742(C2×D7)⋊C4C2414yes—
743(C2×D7)⋊C4C2414yes—
744(C2×D7)⋊C4C2414yes—
745(C2×D7)⋊C4C2414yes—
746(C2×D7)⋊C4C2414yes—
747(C2×D7)⋊C4C2414yes—
748(C2×D7)⋊C4C2414yes—
749(C2×D7)⋊C4C2414yes—
750(C2×D7)⋊C4C2414yes—
751(C2×D7)⋊C4C2414yes—
752(C2×D7)⋊C4C2414yes—
753(C2×D7)⋊C4C2414yes—
754(C2×D7)⋊C4C2414yes—
755(C2×D7)⋊C4C2414yes—
756(C2×D7)⋊C4C2414yes—
757(C2×D7)⋊C4C2414yes—
758(C2×D7)⋊C4C2414yes—
759(C2×D7)⋊C4C2414yes—
760(C2×D7)⋊C4C2414yes—
761(C2×D7)⋊C4C2414yes—
762(C2×D7)⋊C4C2414yes—
763(C2×D7)⋊C4C2414yes—
764(C2×D7)⋊C4C2414yes—
765C4⋊Dic7C2414yes—
766C4⋊Dic7C2414yes—
767C4⋊Dic7C2414yes—
768C4⋊Dic7C2414yes—
769C4⋊Dic7C2414yes—
770C4⋊Dic7C2414yes—
771C4⋊Dic7C2414yes—
772C4⋊Dic7C2414yes—
773C4⋊Dic7C2414yes—
774C4⋊Dic7C2414yes—
775C4⋊Dic7C2414yes—
776C4⋊Dic7C2414yes—
777Dic7⋊C4C2414yes—
778Dic7⋊C4C2414yes—
779Dic7⋊C4C2414yes—
780Dic7⋊C4C2414yes—
781Dic7⋊C4C2414yes—
782Dic7⋊C4C2414yes—
783Dic7⋊C4C2414yes—
784Dic7⋊C4C2414yes—
785Dic7⋊C4C2414yes—
786Dic7⋊C4C2414yes—
787Dic7⋊C4C2414yes—
788Dic7⋊C4C2414yes—
789Dic7⋊C4C2414yes—
790Dic7⋊C4C2414yes—
791Dic7⋊C4C2414yes—
792Dic7⋊C4C2414yes—
793Dic7⋊C4C2414yes—
794Dic7⋊C4C2414yes—
795Dic7⋊C4C2414yes—
796Dic7⋊C4C2414yes—
797Dic7⋊C4C2414yes—
798Dic7⋊C4C2414yes—
799Dic7⋊C4C2414yes—
800Dic7⋊C4C2414yes—
801Dic7⋊C4C2414yes—
802Dic7⋊C4C2414yes—
803Dic7⋊C4C2414yes—
804Dic7⋊C4C2414yes—
805C4×Dic7C2414yes—
806C4×Dic7C2414yes—
807C4×Dic7C2414yes—
808C4×Dic7C2414yes—
809C4×Dic7C2414yes—
810C4×Dic7C2414yes—
811C4×Dic7C2414yes—
812C4×Dic7C2414yes—
813C22×#41—71no—
814C22×#41—71no—
815C22×#41C2×D711yescharacteristic
816C23×Q8C2×D711yescharacteristic, complemented
817C23×D4—71no—
818C24×C4—71no—
819#563—716no—
820#563—716no—
821#562—716no—
822#562—716no—
823#554—716no—
824#554—716no—
825#552—716no—
826#552—716no—
827#551—716no—
828#551—716no—
829#551—716no—
830#551—716no—
831#547—716no—
832#547—716no—
833#546—716no—
834#546—716no—
835#544—716no—
836#543—716no—
837#542—716no—
838#542—716no—
839#539—716no—
840#539—716no—
841#539—716no—
842#539—716no—
843#539—716no—
844#538—716no—
845#536—716no—
846#536C2×D7116yescomplemented
847C2×C4⋊Q8—71no—
848C2×C4⋊Q8—71no—
849C2×C4⋊Q8—71no—
850C2×C4⋊Q8—71no—
851C2×C4⋊Q8C2×D711yescharacteristic, complemented
852C2×C4⋊Q8C2×D711yescharacteristic, complemented
853C2×#126—71no—
854C2×#126—71no—
855C2×#126—71no—
856C2×#126—71no—
857C2×#126—71no—
858C2×#126—71no—
859C2×#126—71no—
860C2×#126—71no—
861C2×#126—71no—
862C2×#126—71no—
863C2×#126—71no—
864C2×#126—71no—
865C2×#125—71no—
866C2×#125—71no—
867C2×#125—71no—
868C2×#125—71no—
869C2×#125—71no—
870C2×#125—71no—
871C2×#125—71no—
872C2×#125—71no—
873C2×#125—71no—
874C2×#125—71no—
875C2×#124—71no—
876C2×#124—71no—
877C2×#124—71no—
878C2×#124—71no—
879C2×#124—71no—
880C2×#124—71no—
881C2×#124C2×D711yescharacteristic, complemented
882C2×#124C2×D711yescharacteristic, complemented
883#525—716no—
884C2×#123—71no—
885C2×#123—71no—
886C2×#123—71no—
887C2×#123—71no—
888C2×#123—71no—
889C2×#123—71no—
890C2×#123—71no—
891C2×#123—71no—
892C2×#123—716no—
893C2×#123—71no—
894C2×#123—71no—
895C2×#123—71no—
896C2×#123—71no—
897C2×#123—71no—
898C2×#123—71no—
899C2×#123—71no—
900C2×#123—71no—
901C2×#123—71no—
902C2×#123—71no—
903C2×#123—71no—
904C2×#123—71no—
905C2×#123—71no—
906C2×#123—71no—
907C2×#123—71no—
908C2×#123—71no—
909C2×#123C2×D711yescharacteristic
910C2×#123C2×D711yescharacteristic
911C2×#123C2×D711yescharacteristic, complemented
912C2×#123C2×D711yescharacteristic, complemented
913C2×C22⋊Q8—71no—
914C2×C22⋊Q8—71no—
915C2×C22⋊Q8—71no—
916C2×C22⋊Q8—71no—
917C2×C22⋊Q8—71no—
918C2×C22⋊Q8—71no—
919C2×C22⋊Q8—71no—
920C2×C22⋊Q8—71no—
921C2×C22⋊Q8—71no—
922C2×C22⋊Q8—71no—
923C2×C22⋊Q8—71no—
924C2×C22⋊Q8—71no—
925C2×C22⋊Q8—71no—
926C2×C22⋊Q8—71no—
927C2×C22⋊Q8—716no—
928C2×C22⋊Q8—71no—
929C2×C22⋊Q8—71no—
930C2×C22⋊Q8—71no—
931C2×C22⋊Q8—71no—
932C2×C22⋊Q8—71no—
933C2×C22⋊Q8—71no—
934C2×C22⋊Q8—71no—
935C2×C22⋊Q8—71no—
936C2×C22⋊Q8—71no—
937C2×C22⋊Q8—71no—
938C2×C22⋊Q8—71no—
939C2×C22⋊Q8—71no—
940C2×C22⋊Q8—71no—
941C2×C22⋊Q8—71no—
942C2×C22⋊Q8—71no—
943C2×C22⋊Q8—71no—
944C2×C22⋊Q8C2×D711yescharacteristic, complemented
945C2×C22⋊Q8C2×D711yescharacteristic, complemented
946C2×C22⋊Q8C2×D711yescharacteristic, complemented
947C2×C22⋊Q8C2×D711yescharacteristic, complemented
948C2×#121—71no—
949C2×#121—71no—
950C2×#121—71no—
951C2×#121—71no—
952C2×#121—71no—
953C2×#121—71no—
954C2×#121—71no—
955C2×#121—71no—
956C2×#121—71no—
957C2×#121—71no—
958C2×#120—71no—
959C2×#120—71no—
960C2×#120—71no—
961C2×#120—71no—
962C2×C4×Q8—71no—
963C2×C4×Q8—71no—
964C2×C4×D4—71no—
965C2×C4×D4—71no—
966C2×C4×D4—71no—
967C2×C4×D4—71no—
968C2×C4×D4—71no—
969C2×C4×D4—71no—
970C2×C4×D4—71no—
971C2×C4×D4—71no—
972C2×C4×D4—71no—
973C2×C4×D4—71no—
974C2×C4×D4—71no—
975C2×C4×D4—71no—
976C2×C4×D4—71no—
977C2×C4×D4—71no—
978C2×#117—71no—
979C2×#117—71no—
980C2×#117—71no—
981C2×#117—71no—
982C2×#117—71no—
983C2×#117—71no—
984C2×#117C2×D711yescharacteristic, complemented
985C22×C4⋊C4—71no—
986C22×C4⋊C4—71no—
987C22×C4⋊C4—71no—
988C22×C4⋊C4—71no—
989C22×C4⋊C4—71no—
990C22×C4⋊C4—71no—
991C22×C4⋊C4—71no—
992C22×C22⋊C4—71no—
993C22×C22⋊C4—71no—
994C22×C22⋊C4—71no—
995C22×C22⋊C4—71no—
996C22×C22⋊C4—71no—
997C22×C22⋊C4—71no—
998C22×C22⋊C4—71no—
999C23×C7—22no—
1000C23×C7—22no—
1001C23×C7—22no—
1002C23×C7—22no—
1003C23×C7—22no—
1004C23×C7—22no—
1005C23×C7—22no—
1006C23×C7—22no—
1007C23×C7H(5,𝔽2)14yes—
1008C23×C7C2512yes—
1009C23×C7C2512yes—
1010C23×C7C2512yes—
1011C23×C7C2511yescharacteristic
1012C22×D7—22no—
1013C22×D7—22no—
1014C22×D7—22no—
1015C22×D7—22no—
1016C22×D7—28no—
1017C22×D7—22no—
1018C22×D7—22no—
1019C22×D7—22no—
1020C22×D7—22no—
1021C22×D7—22no—
1022C22×D7—22no—
1023C22×D7—22no—
1024C22×D7—28no—
1025C22×D7—28no—
1026C22×D7—44no—
1027C22×D7—44no—
1028C22×D7—44no—
1029C22×D7—416no—
1030C22×D7—88no—
1031C22×D72−1+414yes—
1032C22×D7C2512yes—
1033C22×D7C2512yes—
1034C22×D7C2512yes—
1035C22×D7C2512yes—
1036C7×Q8—44no—
1037C7×Q8—44no—
1038C7×Q8—44no—
1039C7×Q8—44no—
1040C7×Q8—44no—
1041C7×D4—28no—
1042C7×D4—28no—
1043C7×D4—44no—
1044C2×C4×C7—22no—
1045C2×C4×C7—22no—
1046C2×C4×C7—28no—
1047C2×C4×C7—22no—
1048C2×C4×C7—22no—
1049C2×C4×C7—22no—
1050C2×C4×C7—22no—
1051C2×C4×C7—28no—
1052C2×C4×C7—22no—
1053C2×C4×C7—22no—
1054C2×C4×C7—28no—
1055C2×C4×C7—22no—
1056C2×C4×C7—22no—
1057C2×C4×C7—22no—
1058C2×C4×C7—22no—
1059C2×C4×C7—44no—
1060C2×C4×C7—44no—
1061C2×C4×C7C2512yes—
1062C2×C4×C7C2512yes—
1063C2×C4×C7C2512yes—
1064C2×C4×C7C2512yes—
1065C2×C4×C7C2512yes—
1066C2×C4×C7C2512yes—
1067C2×C4×C7C2512yes—
1068C2×C4×C7C2512yes—
1069C2×C4×C7C2512yes—
1070C2×C4×C7C2512yes—
1071C2×C4×C7C2512yes—
1072C2×C4×C7C2512yes—
1073C22⋊D7—28no—
1074C22⋊D7—28no—
1075C22⋊D7—28no—
1076C22⋊D7—44no—
1077C22⋊D7—44no—
1078C22⋊D7—44no—
1079C22⋊D7—44no—
1080C22⋊D7—44no—
1081C2×Dic7—22no—
1082C2×Dic7—22no—
1083C2×Dic7—22no—
1084C2×Dic7—22no—
1085C2×Dic7—28no—
1086C2×Dic7—22no—
1087C2×Dic7—22no—
1088C2×Dic7—22no—
1089C2×Dic7—22no—
1090C2×Dic7—22no—
1091C2×Dic7—22no—
1092C2×Dic7—22no—
1093C2×Dic7—22no—
1094C2×Dic7—44no—
1095C2×Dic7—44no—
1096C2×Dic7—44no—
1097C2×Dic7—44no—
1098C2×Dic7—44no—
1099C2×Dic7C2512yes—
1100C2×Dic7C2512yes—
1101C2×Dic7C2512yes—
1102C2×Dic7C2512yes—
1103C2×Dic7C2512yes—
1104C2×Dic7C2512yes—
1105C2×Dic7C2512yes—
1106C2×Dic7C2512yes—
1107C2×Dic7C2512yes—
1108C2×Dic7C2512yes—
1109C2×Dic7C2512yes—
1110C2×Dic7C2512yes—
1111D28—28no—
1112D28—44no—
1113D28—44no—
1114D28—44no—
1115C4×D7—28no—
1116C4×D7—44no—
1117C4×D7—44no—
1118C4×D7—44no—
1119C4×D7—44no—
1120C4×D7—44no—
1121C4×D7—44no—
1122C4×D7—44no—
1123C4×D7—44no—
1124C4×D7—44no—
1125C4×D7—44no—
1126C4×D7—44no—
1127Dic14—44no—
1128Dic14—44no—
1129Dic14—44no—
1130Dic14—44no—
1131C25—71no—
1132C25—71no—
1133C2×#41—44no—
1134C2×#41—78no—
1135C2×#41—78no—
1136C2×#41—284no—
1137C2×#41—284no—
1138C2×#41C22×D718yes—
1139C22×Q8—44no—
1140C22×Q8—71no—
1141C22×Q8—71no—
1142C22×Q8—71no—
1143C22×Q8—71no—
1144C22×Q8C22×D711yescharacteristic
1145C22×Q8C22×D711yescharacteristic
1146C22×Q8C22×D711yescharacteristic
1147C22×Q8C22×D711yescharacteristic
1148C22×Q8C22×D711yescharacteristic
1149C22×Q8C22×D718yescomplemented
1150C22×D4—71no—
1151C22×D4—71no—
1152C22×D4—71no—
1153C22×D4—71no—
1154C22×D4—71no—
1155C22×D4—71no—
1156C22×D4—71no—
1157C22×D4—71no—
1158C22×D4—78no—
1159C22×D4—71no—
1160C22×D4—71no—
1161C22×D4—71no—
1162C22×D4—71no—
1163C22×D4—284no—
1164C22×D4C22×D711yescharacteristic
1165C22×D4C22×D711yescharacteristic
1166C22×D4C22×D711yescharacteristic
1167C23×C4—71no—
1168C23×C4—71no—
1169C23×C4—71no—
1170C23×C4—71no—
1171C23×C4—71no—
1172C23×C4—71no—
1173C23×C4—71no—
1174C23×C4—71no—
1175C23×C4—71no—
1176C23×C4—71no—
1177C23×C4—71no—
1178C23×C4—71no—
1179C23×C4—71no—
1180C23×C4—71no—
1181C23×C4—71no—
1182C23×C4—71no—
1183C23×C4—71no—
1184C23×C4—71no—
1185C23×C4—78no—
1186C23×C4—284no—
1187C23×C4C22×D711yescharacteristic
1188C23×C4C22×D711yescharacteristic
1189C23×C4C22×D711yescharacteristic
1190C23×C4C22×D711yescharacteristic
1191C23×C4C22×D711yescharacteristic
1192C4⋊Q8—78no—
1193C4⋊Q8—78no—
1194C4⋊Q8—78no—
1195C4⋊Q8—78no—
1196C4⋊Q8C22×D718yescomplemented
1197C4⋊Q8C22×D718yescomplemented
1198#126—78no—
1199#126—78no—
1200#126—78no—
1201#126—78no—
1202#126—78no—
1203#126—78no—
1204#126—78no—
1205#126—78no—
1206#126—78no—
1207#126—78no—
1208#126—78no—
1209#126—78no—
1210#125—78no—
1211#125—78no—
1212#125—78no—
1213#125—78no—
1214#125—78no—
1215#125—78no—
1216#125—78no—
1217#125—78no—
1218#125—78no—
1219#125—78no—
1220#124—78no—
1221#124—78no—
1222#124—78no—
1223#124—78no—
1224#124—78no—
1225#124—78no—
1226#124C22×D718yescomplemented
1227#124C22×D718yescomplemented
1228#123—78no—
1229#123—78no—
1230#123—78no—
1231#123—78no—
1232#123—78no—
1233#123—78no—
1234#123—78no—
1235#123—78no—
1236#123—78no—
1237#123—78no—
1238#123—78no—
1239#123—78no—
1240#123—78no—
1241#123—78no—
1242#123—78no—
1243#123—78no—
1244#123—78no—
1245#123—78no—
1246#123—78no—
1247#123—78no—
1248#123—78no—
1249#123—78no—
1250#123—78no—
1251#123—78no—
1252#123C22×D718yes—
1253#123C22×D718yes—
1254#123C22×D718yescomplemented
1255#123C22×D718yescomplemented
1256C22⋊Q8—78no—
1257C22⋊Q8—78no—
1258C22⋊Q8—78no—
1259C22⋊Q8—78no—
1260C22⋊Q8—78no—
1261C22⋊Q8—78no—
1262C22⋊Q8—78no—
1263C22⋊Q8—78no—
1264C22⋊Q8—78no—
1265C22⋊Q8—78no—
1266C22⋊Q8—78no—
1267C22⋊Q8—78no—
1268C22⋊Q8—78no—
1269C22⋊Q8—78no—
1270C22⋊Q8—78no—
1271C22⋊Q8—78no—
1272C22⋊Q8—78no—
1273C22⋊Q8—78no—
1274C22⋊Q8—78no—
1275C22⋊Q8—78no—
1276C22⋊Q8—78no—
1277C22⋊Q8—78no—
1278C22⋊Q8—78no—
1279C22⋊Q8—78no—
1280C22⋊Q8—78no—
1281C22⋊Q8—78no—
1282C22⋊Q8—78no—
1283C22⋊Q8—78no—
1284C22⋊Q8—78no—
1285C22⋊Q8—78no—
1286C22⋊Q8C22×D718yescomplemented
1287C22⋊Q8C22×D718yescomplemented
1288C22⋊Q8C22×D718yescomplemented
1289C22⋊Q8C22×D718yescomplemented
1290#121—78no—
1291#121—78no—
1292#121—78no—
1293#121—78no—
1294#121—78no—
1295#121—78no—
1296#121—78no—
1297#121—78no—
1298#121—78no—
1299#121—78no—
1300#120—78no—
1301#120—78no—
1302#120—78no—
1303#120—78no—
1304C4×Q8—78no—
1305C4×Q8—78no—
1306C4×D4—78no—
1307C4×D4—78no—
1308C4×D4—78no—
1309C4×D4—78no—
1310C4×D4—78no—
1311C4×D4—78no—
1312C4×D4—78no—
1313C4×D4—78no—
1314C4×D4—78no—
1315C4×D4—78no—
1316C4×D4—78no—
1317C4×D4—78no—
1318C4×D4—78no—
1319C4×D4—78no—
1320#117—78no—
1321#117—78no—
1322#117—78no—
1323#117—78no—
1324#117—78no—
1325#117—78no—
1326#117C22×D718yescomplemented
1327C2×C4⋊C4—71no—
1328C2×C4⋊C4—71no—
1329C2×C4⋊C4—71no—
1330C2×C4⋊C4—71no—
1331C2×C4⋊C4—71no—
1332C2×C4⋊C4—71no—
1333C2×C4⋊C4—71no—
1334C2×C4⋊C4—71no—
1335C2×C4⋊C4—71no—
1336C2×C4⋊C4—71no—
1337C2×C4⋊C4—71no—
1338C2×C4⋊C4—71no—
1339C2×C4⋊C4—71no—
1340C2×C4⋊C4—71no—
1341C2×C4⋊C4—71no—
1342C2×C4⋊C4—71no—
1343C2×C4⋊C4—71no—
1344C2×C4⋊C4—71no—
1345C2×C4⋊C4—78no—
1346C2×C4⋊C4—78no—
1347C2×C4⋊C4—78no—
1348C2×C4⋊C4—71no—
1349C2×C4⋊C4—71no—
1350C2×C4⋊C4—71no—
1351C2×C4⋊C4—78no—
1352C2×C4⋊C4—71no—
1353C2×C4⋊C4—71no—
1354C2×C4⋊C4—71no—
1355C2×C4⋊C4—71no—
1356C2×C4⋊C4—71no—
1357C2×C4⋊C4—71no—
1358C2×C4⋊C4—71no—
1359C2×C4⋊C4—71no—
1360C2×C4⋊C4—71no—
1361C2×C4⋊C4—71no—
1362C2×C4⋊C4—71no—
1363C2×C4⋊C4—71no—
1364C2×C4⋊C4—71no—
1365C2×C4⋊C4—71no—
1366C2×C4⋊C4—71no—
1367C2×C4⋊C4—71no—
1368C2×C4⋊C4—71no—
1369C2×C4⋊C4—71no—
1370C2×C4⋊C4—71no—
1371C2×C4⋊C4—78no—
1372C2×C4⋊C4—78no—
1373C2×C4⋊C4—78no—
1374C2×C4⋊C4C22×D711yescharacteristic
1375C2×C4⋊C4C22×D711yescharacteristic
1376C2×C4⋊C4C22×D711yescharacteristic
1377C2×C4⋊C4C22×D711yescharacteristic
1378C2×C4⋊C4C22×D711yescharacteristic
1379C2×C4⋊C4C22×D711yescharacteristic
1380C2×C4⋊C4C22×D711yescharacteristic
1381C2×C4⋊C4C22×D711yescharacteristic
1382C2×C4⋊C4C22×D711yescharacteristic
1383C2×C4⋊C4C22×D711yescharacteristic
1384C2×C22⋊C4—71no—
1385C2×C22⋊C4—71no—
1386C2×C22⋊C4—71no—
1387C2×C22⋊C4—71no—
1388C2×C22⋊C4—71no—
1389C2×C22⋊C4—71no—
1390C2×C22⋊C4—71no—
1391C2×C22⋊C4—71no—
1392C2×C22⋊C4—71no—
1393C2×C22⋊C4—71no—
1394C2×C22⋊C4—71no—
1395C2×C22⋊C4—71no—
1396C2×C22⋊C4—71no—
1397C2×C22⋊C4—71no—
1398C2×C22⋊C4—71no—
1399C2×C22⋊C4—71no—
1400C2×C22⋊C4—71no—
1401C2×C22⋊C4—71no—
1402C2×C22⋊C4—71no—
1403C2×C22⋊C4—71no—
1404C2×C22⋊C4—71no—
1405C2×C22⋊C4—71no—
1406C2×C22⋊C4—71no—
1407C2×C22⋊C4—78no—
1408C2×C22⋊C4—78no—
1409C2×C22⋊C4—71no—
1410C2×C22⋊C4—71no—
1411C2×C22⋊C4—71no—
1412C2×C22⋊C4—78no—
1413C2×C22⋊C4—71no—
1414C2×C22⋊C4—71no—
1415C2×C22⋊C4—71no—
1416C2×C22⋊C4—71no—
1417C2×C22⋊C4—71no—
1418C2×C22⋊C4—71no—
1419C2×C22⋊C4—71no—
1420C2×C22⋊C4—71no—
1421C2×C22⋊C4—71no—
1422C2×C22⋊C4—71no—
1423C2×C22⋊C4—78no—
1424C2×C22⋊C4—78no—
1425C2×C22⋊C4—78no—
1426C2×C22⋊C4—78no—
1427C2×C22⋊C4C22×D711yescharacteristic
1428C2×C22⋊C4C22×D711yescharacteristic
1429C2×C22⋊C4C22×D711yescharacteristic
1430C2×C22⋊C4C22×D711yescharacteristic
1431C2×C22⋊C4C22×D711yescharacteristic
1432C2×C22⋊C4C22×D711yescharacteristic
1433C2×C22⋊C4C22×D711yescharacteristic
1434C2×C22⋊C4C22×D711yescharacteristic
1435C2×C22⋊C4C22×D711yescharacteristic
1436C2×C22⋊C4C22×D711yescharacteristic
1437C2×C42—71no—
1438C2×C42—71no—
1439C2×C42—71no—
1440C2×C42—71no—
1441C2×C42—71no—
1442C2×C42—71no—
1443C2×C42—71no—
1444C2×C42—71no—
1445C2×C42C22×D711yescharacteristic
1446C2×C42C22×D711yescharacteristic
1447C22×C7—22no—
1448C22×C7—22no—
1449C22×C7—28no—
1450C22×C7—22no—
1451C22×C7—22no—
1452C22×C7—22no—
1453C22×C7—22no—
1454C22×C7—22no—
1455C22×C7—22no—
1456C22×C7—44no—
1457C22×C7—44no—
1458C22×C7C2×H(5,𝔽2)14yes—
1459C22×C7C2×H(5,𝔽2)12yes—
1460C22×C7C2×2−1+412yes—
1461C22×C7#58512yes—
1462C22×C7C2611yescharacteristic
1463C2×D7—22no—
1464C2×D7—22no—
1465C2×D7—28no—
1466C2×D7—22no—
1467C2×D7—22no—
1468C2×D7—22no—
1469C2×D7—22no—
1470C2×D7—22no—
1471C2×D7—22no—
1472C2×D7—22no—
1473C2×D7—22no—
1474C2×D7—22no—
1475C2×D7—416no—
1476C2×D7—44no—
1477C2×D7—44no—
1478C2×D7—44no—
1479C2×D7—88no—
1480C2×D7C2×2−1+414yes—
1481C4×C7—22no—
1482C4×C7—22no—
1483C4×C7—22no—
1484C4×C7—22no—
1485C4×C7—22no—
1486C4×C7—22no—
1487C4×C7—22no—
1488C4×C7—22no—
1489C4×C7—22no—
1490C4×C7—22no—
1491C4×C7—22no—
1492C4×C7—22no—
1493Dic7—22no—
1494Dic7—22no—
1495Dic7—22no—
1496Dic7—22no—
1497Dic7—22no—
1498Dic7—22no—
1499Dic7—22no—
1500Dic7—22no—
1501Dic7—22no—
1502Dic7—22no—
1503Dic7—22no—
1504Dic7—22no—
1505C24—71no—
1506C24—71no—
1507C24—71no—
1508C24—71no—
1509C24—74no—
1510C24—74no—
1511C24—144no—
1512C24—144no—
1513C24—144no—
1514C24—282no—
1515C24—282no—
1516C24—282no—
1517C24C23×D711yescharacteristic
1518C24C23×D711yescharacteristic
1519C24C23×D711yescharacteristic
1520#41—416no—
1521#41—2816no—
1522#41—2816no—
1523C2×Q8—42no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—416no—
1528C2×Q8—42no—
1529C2×Q8—74no—
1530C2×Q8—74no—
1531C2×Q8—74no—
1532C2×Q8—74no—
1533C2×Q8—282no—
1534C2×Q8—282no—
1535C2×Q8—282no—
1536C2×Q8—282no—
1537C2×Q8C23×D714yes—
1538C2×Q8C23×D714yes—
1539C2×Q8C23×D714yes—
1540C2×Q8C23×D714yes—
1541C2×Q8C23×D714yes—
1542C2×D4—24no—
1543C2×D4—24no—
1544C2×D4—42no—
1545C2×D4—74no—
1546C2×D4—74no—
1547C2×D4—74no—
1548C2×D4—74no—
1549C2×D4—74no—
1550C2×D4—74no—
1551C2×D4—74no—
1552C2×D4—74no—
1553C2×D4—74no—
1554C2×D4—74no—
1555C2×D4—74no—
1556C2×D4—74no—
1557C2×D4—144no—
1558C2×D4—144no—
1559C2×D4—144no—
1560C2×D4—144no—
1561C2×D4—282no—
1562C2×D4—282no—
1563C2×D4—282no—
1564C2×D4—282no—
1565C2×D4—282no—
1566C2×D4—282no—
1567C2×D4—282no—
1568C2×D4—282no—
1569C2×D4—2816no—
1570C2×D4C23×D714yes—
1571C2×D4C23×D714yes—
1572C2×D4C23×D714yes—
1573C22×C4—24no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—74no—
1579C22×C4—71no—
1580C22×C4—71no—
1581C22×C4—71no—
1582C22×C4—71no—
1583C22×C4—71no—
1584C22×C4—71no—
1585C22×C4—71no—
1586C22×C4—71no—
1587C22×C4—71no—
1588C22×C4—71no—
1589C22×C4—71no—
1590C22×C4—71no—
1591C22×C4—74no—
1592C22×C4—74no—
1593C22×C4—74no—
1594C22×C4—74no—
1595C22×C4—74no—
1596C22×C4—74no—
1597C22×C4—74no—
1598C22×C4—74no—
1599C22×C4—74no—
1600C22×C4—74no—
1601C22×C4—74no—
1602C22×C4—74no—
1603C22×C4—74no—
1604C22×C4—74no—
1605C22×C4—74no—
1606C22×C4—74no—
1607C22×C4—74no—
1608C22×C4—144no—
1609C22×C4—144no—
1610C22×C4—282no—
1611C22×C4—282no—
1612C22×C4—282no—
1613C22×C4—282no—
1614C22×C4—282no—
1615C22×C4—282no—
1616C22×C4—282no—
1617C22×C4—2816no—
1618C22×C4—282no—
1619C22×C4—282no—
1620C22×C4—282no—
1621C22×C4—282no—
1622C22×C4—282no—
1623C22×C4—282no—
1624C22×C4—282no—
1625C22×C4—282no—
1626C22×C4—282no—
1627C22×C4C23×D714yes—
1628C22×C4C23×D714yes—
1629C22×C4C23×D714yes—
1630C22×C4C23×D711yescharacteristic
1631C22×C4C23×D711yescharacteristic
1632C22×C4C23×D711yescharacteristic
1633C22×C4C23×D711yescharacteristic
1634C22×C4C23×D711yescharacteristic
1635C22×C4C23×D711yescharacteristic
1636C22×C4C23×D711yescharacteristic
1637C22×C4C23×D711yescharacteristic
1638C22×C4C23×D711yescharacteristic
1639C22×C4C23×D711yescharacteristic
1640C22×C4C23×D711yescharacteristic
1641C22×C4C23×D711yescharacteristic
1642C22×C4C23×D714yes—
1643C22×C4C23×D714yes—
1644C4⋊C4—74no—
1645C4⋊C4—74no—
1646C4⋊C4—74no—
1647C4⋊C4—74no—
1648C4⋊C4—74no—
1649C4⋊C4—74no—
1650C4⋊C4—74no—
1651C4⋊C4—74no—
1652C4⋊C4—74no—
1653C4⋊C4—74no—
1654C4⋊C4—74no—
1655C4⋊C4—74no—
1656C4⋊C4—74no—
1657C4⋊C4—74no—
1658C4⋊C4—74no—
1659C4⋊C4—74no—
1660C4⋊C4—74no—
1661C4⋊C4—74no—
1662C4⋊C4—74no—
1663C4⋊C4—74no—
1664C4⋊C4—74no—
1665C4⋊C4—74no—
1666C4⋊C4—74no—
1667C4⋊C4—74no—
1668C4⋊C4—74no—
1669C4⋊C4—74no—
1670C4⋊C4—74no—
1671C4⋊C4—74no—
1672C4⋊C4—74no—
1673C4⋊C4—74no—
1674C4⋊C4—74no—
1675C4⋊C4—74no—
1676C4⋊C4—74no—
1677C4⋊C4—74no—
1678C4⋊C4—74no—
1679C4⋊C4—74no—
1680C4⋊C4—74no—
1681C4⋊C4—74no—
1682C4⋊C4—74no—
1683C4⋊C4—74no—
1684C4⋊C4C23×D714yes—
1685C4⋊C4C23×D714yes—
1686C4⋊C4C23×D714yes—
1687C4⋊C4C23×D714yes—
1688C4⋊C4C23×D714yes—
1689C4⋊C4C23×D714yes—
1690C4⋊C4C23×D714yes—
1691C4⋊C4C23×D714yes—
1692C4⋊C4C23×D714yes—
1693C4⋊C4C23×D714yes—
1694C22⋊C4—74no—
1695C22⋊C4—74no—
1696C22⋊C4—74no—
1697C22⋊C4—74no—
1698C22⋊C4—74no—
1699C22⋊C4—74no—
1700C22⋊C4—74no—
1701C22⋊C4—74no—
1702C22⋊C4—74no—
1703C22⋊C4—74no—
1704C22⋊C4—74no—
1705C22⋊C4—74no—
1706C22⋊C4—74no—
1707C22⋊C4—74no—
1708C22⋊C4—74no—
1709C22⋊C4—74no—
1710C22⋊C4—74no—
1711C22⋊C4—74no—
1712C22⋊C4—74no—
1713C22⋊C4—74no—
1714C22⋊C4—74no—
1715C22⋊C4—74no—
1716C22⋊C4—74no—
1717C22⋊C4—74no—
1718C22⋊C4—74no—
1719C22⋊C4—74no—
1720C22⋊C4—74no—
1721C22⋊C4—74no—
1722C22⋊C4—74no—
1723C22⋊C4—74no—
1724C22⋊C4—74no—
1725C22⋊C4—74no—
1726C22⋊C4—74no—
1727C22⋊C4—74no—
1728C22⋊C4—74no—
1729C22⋊C4—74no—
1730C22⋊C4C23×D714yes—
1731C22⋊C4C23×D714yes—
1732C22⋊C4C23×D714yes—
1733C22⋊C4C23×D714yes—
1734C22⋊C4C23×D714yes—
1735C22⋊C4C23×D714yes—
1736C22⋊C4C23×D714yes—
1737C22⋊C4C23×D714yes—
1738C22⋊C4C23×D714yes—
1739C22⋊C4C23×D714yes—
1740C42—74no—
1741C42—74no—
1742C42—74no—
1743C42—74no—
1744C42—74no—
1745C42—74no—
1746C42—74no—
1747C42—74no—
1748C42C23×D714yes—
1749C42C23×D714yes—
1750C2×C7—24no—
1751C2×C7—42no—
1752C2×C7—42no—
1753C2×C7#353514yescomplemented
1754C2×C7C22×H(5,𝔽2)11yescharacteristic
1755C2×C7C22×2−1+411yescharacteristic
1756C2×C7C2×#58511yescharacteristic
1757D7—24no—
1758D7—42no—
1759D7—42no—
1760D7—42no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—72no—
1770C23—74no—
1771C23—72no—
1772C23—72no—
1773C23—72no—
1774C23—148no—
1775C23—148no—
1776C23—142no—
1777C23—142no—
1778C23—142no—
1779C23—148no—
1780C23—142no—
1781C23—142no—
1782C23—142no—
1783C23—142no—
1784C23—142no—
1785C23—142no—
1786C23—142no—
1787C23—142no—
1788C23—284no—
1789C23—284no—
1790C23—284no—
1791C23—2816no—
1792C23—568no—
1793C23#654814yes—
1794C23C24×D712yes—
1795C23C24×D712yes—
1796C23C24×D712yes—
1797C23C24×D711yescharacteristic
1798Q8—44no—
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—44no—
1803Q8—284no—
1804Q8—284no—
1805Q8—284no—
1806Q8—284no—
1807D4—28no—
1808D4—28no—
1809D4—44no—
1810D4—148no—
1811D4—148no—
1812D4—148no—
1813D4—148no—
1814D4—284no—
1815D4—284no—
1816D4—284no—
1817D4—284no—
1818D4—284no—
1819D4—284no—
1820D4—284no—
1821D4—284no—
1822C2×C4—22no—
1823C2×C4—28no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—28no—
1830C2×C4—28no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—72no—
1840C2×C4—72no—
1841C2×C4—72no—
1842C2×C4—72no—
1843C2×C4—72no—
1844C2×C4—72no—
1845C2×C4—72no—
1846C2×C4—72no—
1847C2×C4—72no—
1848C2×C4—72no—
1849C2×C4—72no—
1850C2×C4—72no—
1851C2×C4—148no—
1852C2×C4—142no—
1853C2×C4—142no—
1854C2×C4—148no—
1855C2×C4—142no—
1856C2×C4—142no—
1857C2×C4—142no—
1858C2×C4—142no—
1859C2×C4—142no—
1860C2×C4—142no—
1861C2×C4—142no—
1862C2×C4—142no—
1863C2×C4—142no—
1864C2×C4—142no—
1865C2×C4—284no—
1866C2×C4—284no—
1867C2×C4—284no—
1868C2×C4—284no—
1869C2×C4—284no—
1870C2×C4—284no—
1871C2×C4—284no—
1872C2×C4—284no—
1873C2×C4—284no—
1874C2×C4—284no—
1875C2×C4—284no—
1876C2×C4—284no—
1877C2×C4—284no—
1878C2×C4—284no—
1879C2×C4—284no—
1880C2×C4—284no—
1881C2×C4C24×D712yes—
1882C2×C4C24×D712yes—
1883C2×C4C24×D712yes—
1884C2×C4C24×D712yes—
1885C2×C4C24×D712yes—
1886C2×C4C24×D712yes—
1887C2×C4C24×D712yes—
1888C2×C4C24×D712yes—
1889C2×C4C24×D712yes—
1890C2×C4C24×D712yes—
1891C2×C4C24×D712yes—
1892C2×C4C24×D712yes—
1893C7C2×#353511yescharacteristic, complemented, Sylow
1894C22—22no—
1895C22—22no—
1896C22—28no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—74no—
1906C22—142no—
1907C22—142no—
1908C22—148no—
1909C22—142no—
1910C22—142no—
1911C22—142no—
1912C22—142no—
1913C22—142no—
1914C22—142no—
1915C22—142no—
1916C22—142no—
1917C22—142no—
1918C22—2816no—
1919C22—284no—
1920C22—284no—
1921C22—284no—
1922C22—568no—
1923C22C2×#654814yes—
1924C22C2×#654812yes—
1925C22D7×2−1+412yes—
1926C22#9062012yes—
1927C22C25×D711yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—142no—
1941C4—142no—
1942C4—142no—
1943C4—142no—
1944C4—142no—
1945C4—142no—
1946C4—142no—
1947C4—142no—
1948C4—142no—
1949C4—142no—
1950C4—142no—
1951C4—142no—
1952C2—24no—
1953C2—42no—
1954C2—42no—
1955C2—144no—
1956C2—282no—
1957C2—282no—
1958C2—282no—
1959C2#1174342614yesdirect product factor
1960C2C22×#654811yescharacteristic
1961C2C2×#9062011yescharacteristic
1962C2C2×D7×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D7
commutator, cosocleC22×C7C26
FrattiniC22C25×D7
FittingC2×C7×#536C2
socleC23×C7C25
hypercenterC2×#536D7
hypocenterC7C2×#3535
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#536

Complements

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

NH ≅ G/Ntype
1. C2×C7×#536C2semidirect
2. C2×#90520C2semidirect
3. C2×#90515C2semidirect
4. C2×#90507C2semidirect
5. C22×#6509C2semidirect
6. #11743426C2direct (N × H)
7. C2×#90426C2semidirect
8. C2×#90421C2semidirect
9. C2×#90420C2semidirect
10. C2×#90424C2semidirect
11. C2×#90370C2semidirect
12. C2×#90369C2semidirect
13. C2×#90375C2semidirect
14. C2×#90360C2semidirect
15. C2×#90349C2semidirect
16. C2×#90346C2semidirect
17. C2×#90345C2semidirect
18. C2×D7×#123C2semidirect
19. C2×#90341C2semidirect
20. C2×#90356C2semidirect
21. C2×#90356C2semidirect
22. C2×#90347C2semidirect
23. C2×#90338C2semidirect
24. C2×#90328C2semidirect
25. C2×#90325C2semidirect
26. C2×#90329C2semidirect
27. C2×#90329C2semidirect
28. C2×#90337C2semidirect
29. C2×#90327C2semidirect
30. C2×#90336C2semidirect
31. C2×#90218C2semidirect
32. C2×#90222C2semidirect
34. C23×C7×Q8C22semidirect
35. C22×#1159C22semidirect
39. C7×#536C22semidirect
40. C2×C7×C4⋊Q8C22semidirect
41. C2×C7×C4⋊Q8C22semidirect
42. C2×C7×#124C22semidirect
43. C2×C7×#124C22semidirect
46. C2×C7×#123C22semidirect
47. C2×C7×#123C22semidirect
48. C2×C7×C22⋊Q8C22semidirect
49. C2×C7×C22⋊Q8C22semidirect
50. C2×C7×C22⋊Q8C22semidirect
51. C2×C7×C22⋊Q8C22semidirect
52. C2×C7×#117C22semidirect
53. #90520C22semidirect
54. #90515C22semidirect
55. #90507C22semidirect
57. C2×#6510C22semidirect
58. C2×#6510C22semidirect
64. C2×#6509C22semidirect
65. C2×#6509C22semidirect
66. C2×#6509C22semidirect
67. C2×#6509C22semidirect
68. C2×#6509C22semidirect
69. C2×#6509C22semidirect
70. C2×#6509C22semidirect
71. C2×#6509C22semidirect
72. C2×#6509C22semidirect
73. C2×#6509C22semidirect
74. C2×#6507C22semidirect
75. C2×#6507C22semidirect
76. C2×#6507C22semidirect
80. C2×#6502C22semidirect
84. C2×#6498C22semidirect
86. C2×D4×Dic7C22semidirect
91. C2×#6492C22semidirect
92. C2×#6492C22semidirect
93. C2×#6492C22semidirect
95. C2×C4×C22⋊D7C22semidirect
99. C2×#6489C22semidirect
100. C22×C4⋊Dic7C22semidirect
101. C2×#6487C22semidirect
102. C22×Dic7⋊C4C22semidirect
103. C22×Dic7⋊C4C22semidirect
104. C22×Dic7⋊C4C22semidirect
105. #90426C22semidirect
106. #90424C22semidirect
107. #90421C22semidirect
108. #90420C22semidirect
109. #90375C22semidirect
110. #90370C22semidirect
111. #90369C22semidirect
112. #90360C22semidirect
113. #90356C22semidirect
114. #90356C22semidirect
115. #90349C22semidirect
116. #90347C22semidirect
117. #90346C22semidirect
118. #90345C22semidirect
119. D7×#123C22semidirect
120. #90341C22semidirect
121. #90338C22semidirect
122. #90337C22semidirect
123. #90336C22semidirect
124. #90329C22semidirect
125. #90329C22semidirect
126. #90328C22semidirect
127. #90327C22semidirect
128. #90325C22semidirect
129. #90222C22semidirect
130. #90218C22semidirect
131. C2×#6461C22semidirect
132. C2×#6461C22semidirect
133. C2×#6461C22semidirect
134. C2×#6461C22semidirect
135. C2×#6461C22semidirect
136. C2×#6461C22semidirect
138. C2×#6460C22semidirect
139. C2×#6460C22semidirect
143. C2×#6459C22semidirect
144. C2×#6459C22semidirect
145. C2×#6459C22semidirect
151. C2×#6457C22semidirect
152. C2×#6457C22semidirect
155. C2×#6456C22semidirect
159. C2×D7×C4⋊C4C22semidirect
160. C2×#6453C22semidirect
161. C2×#6453C22semidirect
162. C2×#6453C22semidirect
163. C2×#6452C22semidirect
164. C2×#6452C22semidirect
165. C2×#6452C22semidirect
166. C2×#6452C22semidirect
167. C2×#6452C22semidirect
168. C2×#6452C22semidirect
169. C2×#6451C22semidirect
170. C2×#6450C22semidirect
172. C2×#6449C22semidirect
173. C2×#6449C22semidirect
174. C2×#6449C22semidirect
176. C2×#6448C22semidirect
179. C2×#6447C22semidirect
180. C2×#6447C22semidirect
184. C2×#6446C22semidirect
185. C2×#6446C22semidirect
186. C2×#6446C22semidirect
192. C2×(C22⋊D7)⋊C4C22semidirect
193. C2×(C22⋊D7)⋊C4C22semidirect
194. C2×(C22⋊D7)⋊C4C22semidirect
199. C2×#6442C22semidirect
200. C2×#6442C22semidirect
201. C2×#6442C22semidirect
202. C2×#6442C22semidirect
203. C2×#6441C22semidirect
204. C2×#6441C22semidirect
205. C2×#6441C22semidirect
206. C2×#6441C22semidirect
207. C2×#6441C22semidirect
208. C2×#6441C22semidirect
209. C2×#6440C22semidirect
210. C2×#6440C22semidirect
211. C2×#6439C22semidirect
212. C2×#6439C22semidirect
213. C2×#6438C22semidirect
216. C2×#6435C22semidirect
217. C2×#6433C22semidirect
218. C2×C4×Dic14C22semidirect
230. C22×C7×Q8C23semidirect
254. C2×#1159C23semidirect
281. C7×C4⋊Q8C23semidirect
282. C7×C4⋊Q8C23semidirect
283. C7×#124C23semidirect
284. C7×#124C23semidirect
287. C7×#123C23semidirect
288. C7×#123C23semidirect
289. C7×C22⋊Q8C23semidirect
290. C7×C22⋊Q8C23semidirect
291. C7×C22⋊Q8C23semidirect
292. C7×C22⋊Q8C23semidirect
293. C7×#117C23semidirect
325. #6510C23semidirect
326. #6510C23semidirect
332. #6509C23semidirect
333. #6509C23semidirect
334. #6509C23semidirect
335. #6509C23semidirect
336. #6509C23semidirect
337. #6509C23semidirect
338. #6509C23semidirect
339. #6509C23semidirect
340. #6509C23semidirect
341. #6507C23semidirect
342. #6507C23semidirect
343. #6507C23semidirect
347. #6502C23semidirect
351. #6498C23semidirect
353. D4×Dic7C23semidirect
358. #6492C23semidirect
359. #6492C23semidirect
360. #6492C23semidirect
362. C4×C22⋊D7C23semidirect
394. #6489C23semidirect
407. C2×C4⋊Dic7C23semidirect
408. #6487C23semidirect
437. C2×Dic7⋊C4C23semidirect
438. C2×Dic7⋊C4C23semidirect
439. C2×Dic7⋊C4C23semidirect
448. #6461C23semidirect
449. #6461C23semidirect
450. #6461C23semidirect
451. #6461C23semidirect
452. #6461C23semidirect
453. #6461C23semidirect
455. #6460C23semidirect
456. #6460C23semidirect
460. #6459C23semidirect
461. #6459C23semidirect
462. #6459C23semidirect
468. #6457C23semidirect
469. #6457C23semidirect
472. #6456C23semidirect
476. D7×C4⋊C4C23semidirect
477. #6453C23semidirect
478. #6453C23semidirect
479. #6453C23semidirect
480. #6452C23semidirect
481. #6452C23semidirect
482. #6452C23semidirect
483. #6452C23semidirect
484. #6452C23semidirect
485. #6452C23semidirect
486. #6451C23semidirect
487. #6450C23semidirect
489. #6449C23semidirect
490. #6449C23semidirect
491. #6449C23semidirect
493. #6448C23semidirect
496. #6447C23semidirect
497. #6447C23semidirect
501. #6446C23semidirect
502. #6446C23semidirect
503. #6446C23semidirect
509. (C22⋊D7)⋊C4C23semidirect
510. (C22⋊D7)⋊C4C23semidirect
511. (C22⋊D7)⋊C4C23semidirect
516. #6442C23semidirect
517. #6442C23semidirect
518. #6442C23semidirect
519. #6442C23semidirect
520. #6441C23semidirect
521. #6441C23semidirect
522. #6441C23semidirect
523. #6441C23semidirect
524. #6441C23semidirect
525. #6441C23semidirect
526. #6440C23semidirect
527. #6440C23semidirect
528. #6439C23semidirect
529. #6439C23semidirect
530. #6438C23semidirect
533. #6435C23semidirect
534. #6433C23semidirect
535. C4×Dic14C23semidirect
564. C2×#536D7semidirect
816. C23×Q8C2×D7semidirect
846. #536C2×D7semidirect
851. C2×C4⋊Q8C2×D7semidirect
852. C2×C4⋊Q8C2×D7semidirect
881. C2×#124C2×D7semidirect
882. C2×#124C2×D7semidirect
911. C2×#123C2×D7semidirect
912. C2×#123C2×D7semidirect
944. C2×C22⋊Q8C2×D7semidirect
945. C2×C22⋊Q8C2×D7semidirect
946. C2×C22⋊Q8C2×D7semidirect
947. C2×C22⋊Q8C2×D7semidirect
984. C2×#117C2×D7semidirect
1149. C22×Q8C22×D7semidirect
1196. C4⋊Q8C22×D7semidirect
1197. C4⋊Q8C22×D7semidirect
1226. #124C22×D7semidirect
1227. #124C22×D7semidirect
1254. #123C22×D7semidirect
1255. #123C22×D7semidirect
1286. C22⋊Q8C22×D7semidirect
1287. C22⋊Q8C22×D7semidirect
1288. C22⋊Q8C22×D7semidirect
1289. C22⋊Q8C22×D7semidirect
1326. #117C22×D7semidirect
1753. C2×C7#3535semidirect
1893. C7C2×#3535semidirect
1959. C2#11743426direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5362
C2×#905202
C2×#905152
C2×#905072
C22×#65092
#117434262
C2×#904262
C2×#904212
C2×#904202
C2×#904242
C2×#903702
C2×#903692
C2×#903752
C2×#903602
C2×#903492
C2×#903462
C2×#903452
C2×D7×#1232
C2×#903412
C2×#903562
C2×#903472
C2×#903382
C2×#903282
C2×#903252
C2×#903292
C2×#903372
C2×#903272
C2×#903362
C2×#902182
C2×#902222
C2×#35357