Finite Group Databasebeta

← C2×#11744019 #14261001

Subgroups — C2×#11744019 #14261001

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×#554C211yesmaximal, characteristic, complemented
2#11744019C2132yesmaximal, direct product factor
3C2×#90426C211yesmaximal, characteristic, complemented
4C2×#90415C211yesmaximal, characteristic, complemented
5C2×#90390C211yesmaximal, characteristic, complemented
6C2×#90384C211yesmaximal, characteristic, complemented
7C2×#90383C211yesmaximal, characteristic, complemented
8C2×#90383C211yesmaximal, characteristic, complemented
9C2×#90338C211yesmaximal, characteristic, complemented
10C2×#90338C211yesmaximal, characteristic, complemented
11C2×#90328C211yesmaximal, characteristic, complemented
12C2×#90328C211yesmaximal, characteristic, complemented
13C2×#90322C211yesmaximal, characteristic, complemented
14C2×#90321C211yesmaximal, characteristic, complemented
15C2×#90325C211yesmaximal, characteristic, complemented
16C2×#90329C211yesmaximal, characteristic, complemented
17C2×#90319C211yesmaximal, characteristic, complemented
18C2×D7×C22⋊Q8C211yesmaximal, characteristic, complemented
19C2×#90314C211yesmaximal, characteristic, complemented
20C2×#90331C211yesmaximal, characteristic, complemented
21C2×#90272C211yesmaximal, characteristic, complemented
22C2×#90273C211yesmaximal, characteristic, complemented
23C2×#90247C211yesmaximal, characteristic, complemented
24C2×#90247C211yesmaximal, characteristic, complemented
25C2×#90241C211yesmaximal, characteristic, complemented
26C2×#90251C211yesmaximal, characteristic, complemented
27C2×#90238C211yesmaximal, characteristic, complemented
28C2×#90255C211yesmaximal, characteristic, complemented
29C2×#90198C211yesmaximal, characteristic, complemented
30C2×#90206C211yesmaximal, characteristic, complemented
31C22×#6457C211yesmaximal, characteristic, complemented
32C2×#90202C211yesmaximal, characteristic, complemented
33C22×#1161C2211yescharacteristic
34C22×Q8×D7C2211yescharacteristic, complemented
35C22×#1157C2211yescharacteristic
36C22×#1157C2211yescharacteristic, complemented
37C23×D28C2211yescharacteristic
38C23×C4×D7C2211yescharacteristic
39C7×#554C22116yescomplemented
40C2×C7×C4⋊Q8C2211yescharacteristic, complemented
41C2×C7×#125C2211yescharacteristic, complemented
42C2×C7×#125C2211yescharacteristic, complemented
43C2×C7×C22⋊Q8C2211yescharacteristic
44C2×C7×C22⋊Q8C2211yescharacteristic
45C2×C7×C22⋊Q8C2211yescharacteristic
46C2×C7×C22⋊Q8C2211yescharacteristic, complemented
47C2×C7×C22⋊Q8C2211yescharacteristic, complemented
48C2×C7×C22⋊Q8C2211yescharacteristic, complemented
49C2×C4×C7×Q8C2211yescharacteristic, complemented
50C2×C4×C7×D4C2211yescharacteristic
51C2×C4×C7×D4C2211yescharacteristic
52C2×C4×C7×D4C2211yescharacteristic
53C22×C7×C4⋊C4C2211yescharacteristic
54C22×C7×C4⋊C4C2211yescharacteristic, complemented
55C2×#6510C2211yescharacteristic
56C2×#6510C2211yescharacteristic, complemented
57C2×#6510C2211yescharacteristic, complemented
58C2×#6509C2211yescharacteristic, complemented
59C2×#6509C2211yescharacteristic, complemented
60C2×#6509C2211yescharacteristic, complemented
61C2×#6509C2211yescharacteristic, complemented
62C2×#6509C2211yescharacteristic, complemented
63C2×#6507C2211yescharacteristic, complemented
64C2×#6507C2211yescharacteristic, complemented
65C2×#6502C2211yescharacteristic
66C2×#6500C2211yescharacteristic
67C2×#6500C2211yescharacteristic
68C2×#6498C2211yescharacteristic
69C2×#6493C2211yescharacteristic
70C2×#6493C2211yescharacteristic, complemented
71C2×#6492C2211yescharacteristic, complemented
72C2×#6492C2211yescharacteristic, complemented
73C2×#6492C2211yescharacteristic, complemented
74C2×#6492C2211yescharacteristic, complemented
75C2×C4×C22⋊D7C2211yescharacteristic
76C2×C4×C22⋊D7C2211yescharacteristic
77C2×C4×C22⋊D7C2211yescharacteristic
78C2×C4×C22⋊D7C2211yescharacteristic, complemented
79C2×C4×C22⋊D7C2211yescharacteristic, complemented
80C2×C4×C22⋊D7C2211yescharacteristic, complemented
81C22×(C2×D7)⋊C4C2211yescharacteristic
82C22×(C2×D7)⋊C4C2211yescharacteristic
83C22×(C2×D7)⋊C4C2211yescharacteristic
84C2×#6487C2211yescharacteristic
85C2×#6487C2211yescharacteristic
86C2×#6487C2211yescharacteristic
87C2×#6487C2211yescharacteristic, complemented
88C22×Dic7⋊C4C2211yescharacteristic
89#90426C22116yescomplemented
90#90415C22116yescomplemented
91#90390C22116yescomplemented
92#90384C22116yescomplemented
93#90383C22116yescomplemented
94#90383C22116yescomplemented
95#90338C22116yescomplemented
96#90338C22116yescomplemented
97#90331C22116yescomplemented
98#90329C22116yescomplemented
99#90328C22116yescomplemented
100#90328C22116yescomplemented
101#90325C22116yescomplemented
102#90322C22116yescomplemented
103#90321C22116yescomplemented
104#90319C22116yescomplemented
105D7×C22⋊Q8C22116yescomplemented
106#90314C22116yescomplemented
107#90273C22116yescomplemented
108#90272C22116yescomplemented
109#90255C22116yescomplemented
110#90251C22116yescomplemented
111#90247C22116yescomplemented
112#90247C22116yescomplemented
113#90241C22116yescomplemented
114#90238C22116yescomplemented
115#90206C22116yescomplemented
116C2×#6461C2211yescharacteristic, complemented
117C2×#6461C2211yescharacteristic, complemented
118C2×#6461C2211yescharacteristic, complemented
119C2×#6461C2211yescharacteristic, complemented
120C2×#6461C2211yescharacteristic, complemented
121C2×#6461C2211yescharacteristic, complemented
122C2×#6461C2211yescharacteristic, complemented
123#90202C22116yescomplemented
124C2×#6460C2211yescharacteristic, complemented
125C2×#6460C2211yescharacteristic, complemented
126C2×#6460C2211yescharacteristic, complemented
127C2×#6460C2211yescharacteristic, complemented
128C2×#6459C2211yescharacteristic, complemented
129C2×#6459C2211yescharacteristic, complemented
130C2×#6459C2211yescharacteristic, complemented
131C2×#6459C2211yescharacteristic, complemented
132C2×#6459C2211yescharacteristic, complemented
133C2×#6459C2211yescharacteristic, complemented
134C2×#6459C2211yescharacteristic, complemented
135C2×#6459C2211yescharacteristic, complemented
136C2×#6459C2211yescharacteristic, complemented
137C2×#6459C2211yescharacteristic, complemented
138C2×#6459C2211yescharacteristic, complemented
139C2×#6459C2211yescharacteristic, complemented
140#90198C22116yescomplemented
141C2×#6458C2211yescharacteristic
142C2×#6458C2211yescharacteristic
143C2×#6458C2211yescharacteristic
144C2×#6457C2211yescharacteristic
145C2×#6457C2211yescharacteristic
146C2×#6457C2211yescharacteristic
147C2×#6457C2211yescharacteristic
148C2×#6457C2211yescharacteristic
149C2×#6457C2211yescharacteristic
150C2×#6457C2211yescharacteristic
151C2×#6457C2211yescharacteristic
152C2×#6457C2211yescharacteristic
153C2×#6457C2211yescharacteristic
154C2×#6457C2211yescharacteristic
155C2×#6457C2211yescharacteristic
156C2×#6457C22116yescomplemented
157C2×#6457C2211yescharacteristic, complemented
158C2×#6457C2211yescharacteristic, complemented
159C2×#6457C2211yescharacteristic, complemented
160C2×#6457C2211yescharacteristic, complemented
161C2×#6457C2211yescharacteristic, complemented
162C2×#6457C2211yescharacteristic, complemented
163C2×#6456C2211yescharacteristic
164C2×#6456C2211yescharacteristic, complemented
165C2×#6456C2211yescharacteristic, complemented
166C2×#6455C2211yescharacteristic, complemented
167C2×#6455C2211yescharacteristic, complemented
168C2×D7×C4⋊C4C2211yescharacteristic, complemented
169C2×D7×C4⋊C4C2211yescharacteristic, complemented
170C2×D7×C4⋊C4C2211yescharacteristic, complemented
171C2×D7×C4⋊C4C2211yescharacteristic, complemented
172C2×#6452C2211yescharacteristic, complemented
173C2×#6452C2211yescharacteristic, complemented
174C2×#6452C2211yescharacteristic, complemented
175C2×#6452C2211yescharacteristic, complemented
176C2×#6452C2211yescharacteristic, complemented
177C2×#6452C2211yescharacteristic, complemented
178C2×#6452C2211yescharacteristic, complemented
179C2×#6451C2211yescharacteristic, complemented
180C2×#6451C2211yescharacteristic, complemented
181C2×#6451C2211yescharacteristic, complemented
182C2×#6450C2211yescharacteristic, complemented
183C2×#6449C2211yescharacteristic
184C2×#6448C2211yescharacteristic, complemented
185C2×#6448C2211yescharacteristic, complemented
186C2×#6448C2211yescharacteristic, complemented
187C2×#6447C2211yescharacteristic
188C2×#6447C2211yescharacteristic
189C2×#6447C2211yescharacteristic, complemented
190C2×#6447C2211yescharacteristic, complemented
191C2×#6446C2211yescharacteristic, complemented
192C2×#6446C2211yescharacteristic, complemented
193C2×#6446C2211yescharacteristic, complemented
194C2×#6446C2211yescharacteristic, complemented
195C2×#6445C2211yescharacteristic
196C2×#6445C2211yescharacteristic
197C2×D7×C22⋊C4C2211yescharacteristic
198C2×D7×C22⋊C4C2211yescharacteristic
199C2×D7×C22⋊C4C2211yescharacteristic
200C2×D7×C22⋊C4C2211yescharacteristic
201C2×#6442C2211yescharacteristic, complemented
202C2×#6441C2211yescharacteristic
203C2×#6441C2211yescharacteristic
204C2×#6441C2211yescharacteristic
205C2×#6440C2211yescharacteristic
206C2×#6440C2211yescharacteristic
207C2×#6439C2211yescharacteristic, complemented
208C2×#6439C2211yescharacteristic, complemented
209C2×#6439C2211yescharacteristic, complemented
210C2×#6439C2211yescharacteristic, complemented
211C2×#6438C2211yescharacteristic
212C2×#6438C2211yescharacteristic, complemented
213C2×C4×D28C2211yescharacteristic
214C2×C4×D28C2211yescharacteristic, complemented
215C2×#6435C2211yescharacteristic, complemented
216C2×#6435C2211yescharacteristic, complemented
217C2×#6435C2211yescharacteristic, complemented
218C2×#6433C2211yescharacteristic, complemented
219C2×#3535—71nomaximal, Sylow
220C24×D7C2311yescharacteristic
221C24×D7C2311yescharacteristic
222C22×C7×Q8C2311yescharacteristic
223C22×C7×Q8C2311yescharacteristic
224C22×C7×Q8C2311yescharacteristic
225C22×C7×D4C2311yescharacteristic
226C23×C4×C7C2311yescharacteristic
227C23×C4×C7C2311yescharacteristic
228C23×C4×C7C2311yescharacteristic
229C23×C4×C7C2311yescharacteristic
230C23×C4×C7C2311yescharacteristic
231C23×C4×C7C2311yescharacteristic
232C22×C22⋊D7C2311yescharacteristic
233C22×C22⋊D7C2311yescharacteristic
234C22×C22⋊D7C2311yescharacteristic
235C22×C22⋊D7C2311yescharacteristic
236C22×C22⋊D7C2311yescharacteristic
237C22×C22⋊D7C2311yescharacteristic
238C23×Dic7C2311yescharacteristic
239C23×Dic7C2311yescharacteristic
240C2×#1161—44no—
241C2×#1161C2318yes—
242C2×Q8×D7—44no—
243C2×Q8×D7C2318yescomplemented
244C2×#1157—44no—
245C2×#1157—44no—
246C2×#1157C2318yes—
247C2×#1157C2318yescomplemented
248C22×D28—44no—
249C22×D28C2311yescharacteristic
250C22×D28C2311yescharacteristic
251C22×D28C2311yescharacteristic
252C22×D28C2311yescharacteristic
253C22×D28C2311yescharacteristic
254C22×D28C2311yescharacteristic
255C22×D28C2311yescharacteristic
256C22×D28C2311yescharacteristic
257C22×D28C2318yes—
258C22×C4×D7—44no—
259C22×C4×D7C2311yescharacteristic
260C22×C4×D7C2311yescharacteristic
261C22×C4×D7C2311yescharacteristic
262C22×C4×D7C2311yescharacteristic
263C22×C4×D7C2311yescharacteristic
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×D7C2318yes—
275C22×Dic14C2311yescharacteristic
276C22×Dic14C2311yescharacteristic
277C22×Dic14C2311yescharacteristic
278C22×Dic14C2311yescharacteristic
279C22×Dic14C2311yescharacteristic
280C22×Dic14C2311yescharacteristic
281C7×C4⋊Q8C2318yescomplemented
282C7×#125C2318yescomplemented
283C7×#125C2318yescomplemented
284C7×C22⋊Q8C2318yes—
285C7×C22⋊Q8C2318yes—
286C7×C22⋊Q8C2318yes—
287C7×C22⋊Q8C2318yescomplemented
288C7×C22⋊Q8C2318yescomplemented
289C7×C22⋊Q8C2318yescomplemented
290C4×C7×Q8C2318yescomplemented
291C4×C7×D4C2318yes—
292C4×C7×D4C2318yes—
293C4×C7×D4C2318yes—
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×C4⋊C4C2311yescharacteristic
305C2×C7×C4⋊C4C2311yescharacteristic
306C2×C7×C4⋊C4C2311yescharacteristic
307C2×C7×C4⋊C4C2318yes—
308C2×C7×C4⋊C4C2311yescharacteristic
309C2×C7×C4⋊C4C2311yescharacteristic
310C2×C7×C4⋊C4C2311yescharacteristic
311C2×C7×C4⋊C4C2318yescomplemented
312C2×C7×C22⋊C4C2311yescharacteristic
313C2×C7×C22⋊C4C2311yescharacteristic
314C2×C7×C22⋊C4C2311yescharacteristic
315C2×C7×C22⋊C4C2311yescharacteristic
316C2×C7×C22⋊C4C2311yescharacteristic
317C2×C7×C22⋊C4C2311yescharacteristic
318C2×C42×C7C2311yescharacteristic
319C2×C42×C7C2311yescharacteristic
320C2×C42×C7C2311yescharacteristic
321C2×C22⋊Dic7C2311yescharacteristic
322C2×C22⋊Dic7C2311yescharacteristic
323C2×C22⋊Dic7C2311yescharacteristic
324C2×C22⋊Dic7C2311yescharacteristic
325C2×C22⋊Dic7C2311yescharacteristic
326C2×C22⋊Dic7C2311yescharacteristic
327#6510C2318yes—
328#6510C2318yescomplemented
329#6510C2318yescomplemented
330#6509C2318yescomplemented
331#6509C2318yescomplemented
332#6509C2318yescomplemented
333#6509C2318yescomplemented
334#6509C2318yescomplemented
335#6507C2318yescomplemented
336#6507C2318yescomplemented
337#6502C2318yes—
338#6500C2318yes—
339#6500C2318yes—
340#6498C2318yes—
341#6493C2318yes—
342#6493C2318yescomplemented
343#6492C2318yescomplemented
344#6492C2318yescomplemented
345#6492C2318yescomplemented
346#6492C2318yescomplemented
347C4×C22⋊D7C2318yes—
348C4×C22⋊D7C2318yes—
349C4×C22⋊D7C2318yes—
350C4×C22⋊D7C2318yescomplemented
351C4×C22⋊D7C2318yescomplemented
352C4×C22⋊D7C2318yescomplemented
353C2×(C2×D7)⋊C4C2311yescharacteristic
354C2×(C2×D7)⋊C4C2311yescharacteristic
355C2×(C2×D7)⋊C4C2311yescharacteristic
356C2×(C2×D7)⋊C4C2311yescharacteristic
357C2×(C2×D7)⋊C4C2311yescharacteristic
358C2×(C2×D7)⋊C4C2311yescharacteristic
359C2×(C2×D7)⋊C4C2311yescharacteristic
360C2×(C2×D7)⋊C4C2311yescharacteristic
361C2×(C2×D7)⋊C4C2311yescharacteristic
362C2×(C2×D7)⋊C4C2311yescharacteristic
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)⋊C4C2318yes—
388C2×(C2×D7)⋊C4C2318yes—
389C2×(C2×D7)⋊C4C2318yes—
390C2×C4⋊Dic7C2311yescharacteristic
391C2×C4⋊Dic7C2311yescharacteristic
392C2×C4⋊Dic7C2311yescharacteristic
393C2×C4⋊Dic7C2311yescharacteristic
394C2×C4⋊Dic7C2311yescharacteristic
395C2×C4⋊Dic7C2311yescharacteristic
396C2×C4⋊Dic7C2311yescharacteristic
397C2×C4⋊Dic7C2311yescharacteristic
398#6487C2318yes—
399#6487C2318yes—
400#6487C2318yes—
401#6487C2318yescomplemented
402C2×Dic7⋊C4C2311yescharacteristic
403C2×Dic7⋊C4C2311yescharacteristic
404C2×Dic7⋊C4C2311yescharacteristic
405C2×Dic7⋊C4C2311yescharacteristic
406C2×Dic7⋊C4C2311yescharacteristic
407C2×Dic7⋊C4C2311yescharacteristic
408C2×Dic7⋊C4C2311yescharacteristic
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⋊C4C2318yes—
429C2×C4×Dic7C2311yescharacteristic
430C2×C4×Dic7C2311yescharacteristic
431C2×C4×Dic7C2311yescharacteristic
432C2×C4×Dic7C2311yescharacteristic
433C2×C4×Dic7C2311yescharacteristic
434C2×C4×Dic7C2311yescharacteristic
435C2×C4×Dic7C2311yescharacteristic
436#6461C2318yescomplemented
437#6461C2318yescomplemented
438#6461C2318yescomplemented
439#6461C2318yescomplemented
440#6461C2318yescomplemented
441#6461C2318yescomplemented
442#6461C2318yescomplemented
443#6460C2318yescomplemented
444#6460C2318yescomplemented
445#6460C2318yescomplemented
446#6460C2318yescomplemented
447#6459C2318yescomplemented
448#6459C2318yescomplemented
449#6459C2318yescomplemented
450#6459C2318yescomplemented
451#6459C2318yescomplemented
452#6459C2318yescomplemented
453#6459C2318yescomplemented
454#6459C2318yescomplemented
455#6459C2318yescomplemented
456#6459C2318yescomplemented
457#6459C2318yescomplemented
458#6459C2318yescomplemented
459#6458C2318yes—
460#6458C2318yes—
461#6458C2318yes—
462#6457C2318yes—
463#6457C2318yes—
464#6457C2318yes—
465#6457C2318yes—
466#6457C2318yes—
467#6457C2318yes—
468#6457C2318yes—
469#6457C2318yes—
470#6457C2318yes—
471#6457C2318yes—
472#6457C2318yes—
473#6457C2318yes—
474#6457C2318yescomplemented
475#6457C2318yescomplemented
476#6457C2318yescomplemented
477#6457C2318yescomplemented
478#6457C2318yescomplemented
479#6457C2318yescomplemented
480#6456C2318yes—
481#6456C2318yescomplemented
482#6456C2318yescomplemented
483#6455C2318yescomplemented
484#6455C2318yescomplemented
485D7×C4⋊C4C2318yescomplemented
486D7×C4⋊C4C2318yescomplemented
487D7×C4⋊C4C2318yescomplemented
488D7×C4⋊C4C2318yescomplemented
489#6452C2318yescomplemented
490#6452C2318yescomplemented
491#6452C2318yescomplemented
492#6452C2318yescomplemented
493#6452C2318yescomplemented
494#6452C2318yescomplemented
495#6452C2318yescomplemented
496#6451C2318yescomplemented
497#6451C2318yescomplemented
498#6451C2318yescomplemented
499#6450C2318yescomplemented
500#6449C2318yes—
501#6448C2318yescomplemented
502#6448C2318yescomplemented
503#6448C2318yescomplemented
504#6447C2318yes—
505#6447C2318yes—
506#6447C2318yescomplemented
507#6447C2318yescomplemented
508#6446C2318yescomplemented
509#6446C2318yescomplemented
510#6446C2318yescomplemented
511#6446C2318yescomplemented
512#6445C2318yes—
513#6445C2318yes—
514D7×C22⋊C4C2318yes—
515D7×C22⋊C4C2318yes—
516D7×C22⋊C4C2318yes—
517D7×C22⋊C4C2318yes—
518#6442C2318yescomplemented
519#6441C2318yes—
520#6441C2318yes—
521#6441C2318yes—
522#6440C2318yes—
523#6440C2318yes—
524#6439C2318yescomplemented
525#6439C2318yescomplemented
526#6439C2318yescomplemented
527#6439C2318yescomplemented
528#6438C2318yes—
529#6438C2318yescomplemented
530C4×D28C2318yes—
531C4×D28C2318yescomplemented
532#6435C2318yescomplemented
533#6435C2318yescomplemented
534#6435C2318yescomplemented
535#6433C2318yescomplemented
536#3535—732no—
537C2×#563—71no—
538C2×#563—71no—
539C2×#562—71no—
540C2×#562—71no—
541C2×#554—71no—
542C2×#554D711yescharacteristic, complemented
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×#536—71no—
565C2×#525—71no—
566C22×#123—71no—
567C22×C22⋊Q8—71no—
568C24×C7C2411yescharacteristic
569C24×C7C2411yescharacteristic
570C23×D7—24no—
571C23×D7—24no—
572C23×D7—24no—
573C23×D7—42no—
574C23×D7—42no—
575C23×D7—42no—
576C23×D7C2411yescharacteristic
577C23×D7C2411yescharacteristic
578C23×D7C2411yescharacteristic
579C23×D7C2411yescharacteristic
580C23×D7C2414yes—
581C23×D7C2411yescharacteristic
582C23×D7C2414yes—
583C2×C7×Q8—42no—
584C2×C7×Q8—42no—
585C2×C7×Q8—42no—
586C2×C7×Q8C2414yes—
587C2×C7×Q8C2414yes—
588C2×C7×Q8C2414yes—
589C2×C7×D4—24no—
590C2×C7×D4C2414yes—
591C22×C4×C7—42no—
592C22×C4×C7—42no—
593C22×C4×C7—42no—
594C22×C4×C7—42no—
595C22×C4×C7—42no—
596C22×C4×C7—42no—
597C22×C4×C7C2411yescharacteristic
598C22×C4×C7C2411yescharacteristic
599C22×C4×C7C2411yescharacteristic
600C22×C4×C7C2411yescharacteristic
601C22×C4×C7C2411yescharacteristic
602C22×C4×C7C2411yescharacteristic
603C22×C4×C7C2411yescharacteristic
604C22×C4×C7C2411yescharacteristic
605C22×C4×C7C2411yescharacteristic
606C22×C4×C7C2411yescharacteristic
607C22×C4×C7C2411yescharacteristic
608C22×C4×C7C2411yescharacteristic
609C22×C4×C7C2411yescharacteristic
610C22×C4×C7C2414yes—
611C22×C4×C7C2414yes—
612C22×C4×C7C2414yes—
613C22×C4×C7C2414yes—
614C22×C4×C7C2414yes—
615C22×C4×C7C2414yes—
616C2×C22⋊D7—24no—
617C2×C22⋊D7—24no—
618C2×C22⋊D7—42no—
619C2×C22⋊D7—42no—
620C2×C22⋊D7—42no—
621C2×C22⋊D7—42no—
622C2×C22⋊D7C2414yes—
623C2×C22⋊D7C2414yes—
624C2×C22⋊D7C2414yes—
625C2×C22⋊D7C2414yes—
626C2×C22⋊D7C2414yes—
627C2×C22⋊D7C2414yes—
628C22×Dic7—24no—
629C22×Dic7—42no—
630C22×Dic7C2414yes—
631C22×Dic7C2411yescharacteristic
632C22×Dic7C2411yescharacteristic
633C22×Dic7C2411yescharacteristic
634C22×Dic7C2411yescharacteristic
635C22×Dic7C2411yescharacteristic
636C22×Dic7C2411yescharacteristic
637C22×Dic7C2411yescharacteristic
638C22×Dic7C2411yescharacteristic
639C22×Dic7C2411yescharacteristic
640C22×Dic7C2411yescharacteristic
641C22×Dic7C2411yescharacteristic
642C22×Dic7C2414yes—
643#1161—416no—
644Q8×D7—416no—
645#1157—416no—
646#1157—416no—
647C2×D28—24no—
648C2×D28—24no—
649C2×D28—24no—
650C2×D28—416no—
651C2×D28—42no—
652C2×D28—42no—
653C2×D28—42no—
654C2×D28—42no—
655C2×D28—42no—
656C2×D28C2414yes—
657C2×D28C2414yes—
658C2×D28C2414yes—
659C2×D28C2414yes—
660C2×D28C2414yes—
661C2×D28C2414yes—
662C2×D28C2414yes—
663C2×D28C2414yes—
664C2×C4×D7—24no—
665C2×C4×D7—24no—
666C2×C4×D7—24no—
667C2×C4×D7—24no—
668C2×C4×D7—416no—
669C2×C4×D7—42no—
670C2×C4×D7—42no—
671C2×C4×D7—42no—
672C2×C4×D7—42no—
673C2×C4×D7—42no—
674C2×C4×D7—42no—
675C2×C4×D7—42no—
676C2×C4×D7—42no—
677C2×C4×D7—42no—
678C2×C4×D7—42no—
679C2×C4×D7—42no—
680C2×C4×D7C2414yes—
681C2×C4×D7C2414yes—
682C2×C4×D7C2414yes—
683C2×C4×D7C2414yes—
684C2×C4×D7C2414yes—
685C2×C4×D7C2414yes—
686C2×C4×D7C2414yes—
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×Dic14—42no—
696C2×Dic14—42no—
697C2×Dic14—42no—
698C2×Dic14—42no—
699C2×Dic14—42no—
700C2×Dic14—42no—
701C2×Dic14C2414yes—
702C2×Dic14C2414yes—
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×C4⋊C4C2414yes—
718C7×C4⋊C4C2414yes—
719C7×C4⋊C4C2414yes—
720C7×C4⋊C4C2414yes—
721C7×C4⋊C4C2414yes—
722C7×C4⋊C4C2414yes—
723C7×C22⋊C4C2414yes—
724C7×C22⋊C4C2414yes—
725C7×C22⋊C4C2414yes—
726C7×C22⋊C4C2414yes—
727C7×C22⋊C4C2414yes—
728C7×C22⋊C4C2414yes—
729C42×C7C2414yes—
730C42×C7C2414yes—
731C42×C7C2414yes—
732C22⋊Dic7C2414yes—
733C22⋊Dic7C2414yes—
734C22⋊Dic7C2414yes—
735C22⋊Dic7C2414yes—
736C22⋊Dic7C2414yes—
737C22⋊Dic7C2414yes—
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—
765(C2×D7)⋊C4C2414yes—
766(C2×D7)⋊C4C2414yes—
767(C2×D7)⋊C4C2414yes—
768(C2×D7)⋊C4C2414yes—
769(C2×D7)⋊C4C2414yes—
770(C2×D7)⋊C4C2414yes—
771(C2×D7)⋊C4C2414yes—
772C4⋊Dic7C2414yes—
773C4⋊Dic7C2414yes—
774C4⋊Dic7C2414yes—
775C4⋊Dic7C2414yes—
776C4⋊Dic7C2414yes—
777C4⋊Dic7C2414yes—
778C4⋊Dic7C2414yes—
779C4⋊Dic7C2414yes—
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—
805Dic7⋊C4C2414yes—
806C4×Dic7C2414yes—
807C4×Dic7C2414yes—
808C4×Dic7C2414yes—
809C4×Dic7C2414yes—
810C4×Dic7C2414yes—
811C4×Dic7C2414yes—
812C4×Dic7C2414yes—
813C22×#41—71no—
814C22×#41—71no—
815C22×#41—71no—
816C23×Q8—71no—
817C23×D4—71no—
818C24×C4—71no—
819#563—716no—
820#563—716no—
821#562—716no—
822#562—716no—
823#554—716no—
824#554C2×D7116yescomplemented
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#536—716no—
847C2×C4⋊Q8—71no—
848C2×C4⋊Q8—71no—
849C2×C4⋊Q8—71no—
850C2×C4⋊Q8—71no—
851C2×C4⋊Q8—71no—
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×#125C2×D711yescharacteristic, complemented
874C2×#125C2×D711yescharacteristic, complemented
875C2×#124—71no—
876C2×#124—71no—
877C2×#124—71no—
878C2×#124—71no—
879C2×#124—71no—
880C2×#124—71no—
881C2×#124—71no—
882C2×#124—71no—
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—71no—
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—716no—
902C2×#123—71no—
903C2×#123—71no—
904C2×#123—71no—
905C2×#123—71no—
906C2×#123—71no—
907C2×#123—71no—
908C2×#123—71no—
909C2×#123—71no—
910C2×#123—71no—
911C2×#123—71no—
912C2×#123—71no—
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—716no—
923C2×C22⋊Q8—71no—
924C2×C22⋊Q8—71no—
925C2×C22⋊Q8—71no—
926C2×C22⋊Q8—71no—
927C2×C22⋊Q8—71no—
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⋊Q8C2×D711yescharacteristic
943C2×C22⋊Q8C2×D711yescharacteristic
944C2×C22⋊Q8C2×D711yescharacteristic
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×Q8C2×D711yescharacteristic, complemented
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×D4C2×D711yescharacteristic
976C2×C4×D4C2×D711yescharacteristic
977C2×C4×D4C2×D711yescharacteristic
978C2×#117—71no—
979C2×#117—71no—
980C2×#117—71no—
981C2×#117—71no—
982C2×#117—71no—
983C2×#117—71no—
984C2×#117—71no—
985C22×C4⋊C4—71no—
986C22×C4⋊C4—71no—
987C22×C4⋊C4—71no—
988C22×C4⋊C4—71no—
989C22×C4⋊C4—71no—
990C22×C4⋊C4C2×D711yescharacteristic
991C22×C4⋊C4C2×D711yescharacteristic, complemented
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×C72−1+414yes—
1005C23×C7C2512yes—
1006C23×C7C2512yes—
1007C23×C7C2511yescharacteristic
1008C22×D7—22no—
1009C22×D7—22no—
1010C22×D7—22no—
1011C22×D7—22no—
1012C22×D7—22no—
1013C22×D7—22no—
1014C22×D7—22no—
1015C22×D7—28no—
1016C22×D7—22no—
1017C22×D7—22no—
1018C22×D7—22no—
1019C22×D7—22no—
1020C22×D7—22no—
1021C22×D7—22no—
1022C22×D7—22no—
1023C22×D7—28no—
1024C22×D7—28no—
1025C22×D7—44no—
1026C22×D7—44no—
1027C22×D7—44no—
1028C22×D7—416no—
1029C22×D7—88no—
1030C22×D7H(5,𝔽2)14yes—
1031C22×D7C2512yes—
1032C22×D7C2512yes—
1033C22×D7C2512yes—
1034C22×D7C2512yes—
1035C22×D7C2512yes—
1036C7×Q8—44no—
1037C7×Q8—44no—
1038C7×Q8—44no—
1039C7×D4—28no—
1040C2×C4×C7—22no—
1041C2×C4×C7—22no—
1042C2×C4×C7—22no—
1043C2×C4×C7—22no—
1044C2×C4×C7—22no—
1045C2×C4×C7—22no—
1046C2×C4×C7—22no—
1047C2×C4×C7—22no—
1048C2×C4×C7—22no—
1049C2×C4×C7—22no—
1050C2×C4×C7—22no—
1051C2×C4×C7—22no—
1052C2×C4×C7—22no—
1053C2×C4×C7—44no—
1054C2×C4×C7—44no—
1055C2×C4×C7—44no—
1056C2×C4×C7—44no—
1057C2×C4×C7—44no—
1058C2×C4×C7—44no—
1059C2×C4×C7C2512yes—
1060C2×C4×C7C2512yes—
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—
1072C22⋊D7—28no—
1073C22⋊D7—28no—
1074C22⋊D7—44no—
1075C22⋊D7—44no—
1076C22⋊D7—44no—
1077C22⋊D7—44no—
1078C2×Dic7—22no—
1079C2×Dic7—22no—
1080C2×Dic7—22no—
1081C2×Dic7—22no—
1082C2×Dic7—22no—
1083C2×Dic7—28no—
1084C2×Dic7—22no—
1085C2×Dic7—22no—
1086C2×Dic7—22no—
1087C2×Dic7—22no—
1088C2×Dic7—22no—
1089C2×Dic7—22no—
1090C2×Dic7—44no—
1091C2×Dic7C2512yes—
1092C2×Dic7C2512yes—
1093C2×Dic7C2512yes—
1094C2×Dic7C2512yes—
1095C2×Dic7C2512yes—
1096C2×Dic7C2512yes—
1097C2×Dic7C2512yes—
1098C2×Dic7C2512yes—
1099C2×Dic7C2512yes—
1100C2×Dic7C2512yes—
1101C2×Dic7C2512yes—
1102D28—28no—
1103D28—28no—
1104D28—28no—
1105D28—44no—
1106D28—44no—
1107D28—44no—
1108D28—44no—
1109D28—44no—
1110C4×D7—28no—
1111C4×D7—28no—
1112C4×D7—28no—
1113C4×D7—28no—
1114C4×D7—44no—
1115C4×D7—44no—
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—
1125Dic14—44no—
1126Dic14—44no—
1127Dic14—44no—
1128Dic14—44no—
1129Dic14—44no—
1130Dic14—44no—
1131C25—71no—
1132C25—71no—
1133C2×#41—78no—
1134C2×#41—78no—
1135C2×#41—78no—
1136C2×#41—284no—
1137C2×#41—284no—
1138C2×#41—284no—
1139C22×Q8—78no—
1140C22×Q8—71no—
1141C22×Q8—71no—
1142C22×Q8—71no—
1143C22×Q8—71no—
1144C22×Q8—71no—
1145C22×Q8—71no—
1146C22×Q8—284no—
1147C22×Q8C22×D711yescharacteristic
1148C22×Q8C22×D711yescharacteristic
1149C22×Q8C22×D711yescharacteristic
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—71no—
1159C22×D4—71no—
1160C22×D4—71no—
1161C22×D4—71no—
1162C22×D4—71no—
1163C22×D4—71no—
1164C22×D4—78no—
1165C22×D4—284no—
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—78no—
1185C23×C4—284no—
1186C23×C4C22×D711yescharacteristic
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⋊Q8—78no—
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#125C22×D718yescomplemented
1219#125C22×D718yescomplemented
1220#124—78no—
1221#124—78no—
1222#124—78no—
1223#124—78no—
1224#124—78no—
1225#124—78no—
1226#124—78no—
1227#124—78no—
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#123—78no—
1253#123—78no—
1254#123—78no—
1255#123—78no—
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⋊Q8C22×D718yes—
1285C22⋊Q8C22×D718yes—
1286C22⋊Q8C22×D718yes—
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×Q8C22×D718yescomplemented
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×D4C22×D718yes—
1318C4×D4C22×D718yes—
1319C4×D4C22×D718yes—
1320#117—78no—
1321#117—78no—
1322#117—78no—
1323#117—78no—
1324#117—78no—
1325#117—78no—
1326#117—78no—
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—78no—
1343C2×C4⋊C4—71no—
1344C2×C4⋊C4—71no—
1345C2×C4⋊C4—71no—
1346C2×C4⋊C4—71no—
1347C2×C4⋊C4—71no—
1348C2×C4⋊C4—71no—
1349C2×C4⋊C4—71no—
1350C2×C4⋊C4—71no—
1351C2×C4⋊C4—71no—
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—78no—
1363C2×C4⋊C4—78no—
1364C2×C4⋊C4—78no—
1365C2×C4⋊C4—78no—
1366C2×C4⋊C4C22×D711yescharacteristic
1367C2×C4⋊C4C22×D711yescharacteristic
1368C2×C4⋊C4C22×D711yescharacteristic
1369C2×C4⋊C4C22×D711yescharacteristic
1370C2×C4⋊C4C22×D711yescharacteristic
1371C2×C4⋊C4C22×D711yescharacteristic
1372C2×C4⋊C4C22×D711yescharacteristic
1373C2×C4⋊C4C22×D718yes—
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×D718yescomplemented
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—71no—
1408C2×C22⋊C4—71no—
1409C2×C22⋊C4—71no—
1410C2×C22⋊C4—78no—
1411C2×C22⋊C4—78no—
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—71no—
1424C2×C22⋊C4—71no—
1425C2×C22⋊C4—71no—
1426C2×C22⋊C4—71no—
1427C2×C22⋊C4—78no—
1428C2×C22⋊C4—78no—
1429C2×C22⋊C4—78no—
1430C2×C22⋊C4—78no—
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×C42C22×D711yescharacteristic
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—44no—
1454C22×C7C2×H(5,𝔽2)12yes—
1455C22×C7C2×2−1+414yes—
1456C22×C7C2×2−1+412yes—
1457C22×C7#58512yes—
1458C22×C7C2611yescharacteristic
1459C2×D7—22no—
1460C2×D7—22no—
1461C2×D7—28no—
1462C2×D7—22no—
1463C2×D7—22no—
1464C2×D7—22no—
1465C2×D7—22no—
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—416no—
1475C2×D7—44no—
1476C2×D7—44no—
1477C2×D7—44no—
1478C2×D7—44no—
1479C2×D7—88no—
1480C2×D7C2×H(5,𝔽2)14yes—
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—
1493C4×C7—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—71no—
1510C24—74no—
1511C24—74no—
1512C24—144no—
1513C24—144no—
1514C24—144no—
1515C24—282no—
1516C24—282no—
1517C24—282no—
1518C24C23×D711yescharacteristic
1519C24C23×D711yescharacteristic
1520#41—2816no—
1521#41—2816no—
1522#41—2816no—
1523C2×Q8—42no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—74no—
1527C2×Q8—74no—
1528C2×Q8—74no—
1529C2×Q8—74no—
1530C2×Q8—74no—
1531C2×Q8—74no—
1532C2×Q8—282no—
1533C2×Q8—282no—
1534C2×Q8—282no—
1535C2×Q8—282no—
1536C2×Q8—282no—
1537C2×Q8—282no—
1538C2×Q8—2816no—
1539C2×Q8C23×D714yes—
1540C2×Q8C23×D714yes—
1541C2×Q8C23×D714yes—
1542C2×D4—24no—
1543C2×D4—74no—
1544C2×D4—74no—
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—144no—
1562C2×D4—282no—
1563C2×D4—282no—
1564C2×D4—282no—
1565C2×D4—282no—
1566C2×D4—282no—
1567C2×D4—2816no—
1568C2×D4—282no—
1569C2×D4—282no—
1570C2×D4—282no—
1571C2×D4—282no—
1572C2×D4C23×D714yes—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—74no—
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—144no—
1608C22×C4—144no—
1609C22×C4—144no—
1610C22×C4—144no—
1611C22×C4—144no—
1612C22×C4—282no—
1613C22×C4—282no—
1614C22×C4—282no—
1615C22×C4—282no—
1616C22×C4—282no—
1617C22×C4—282no—
1618C22×C4—282no—
1619C22×C4—282no—
1620C22×C4—282no—
1621C22×C4—282no—
1622C22×C4—282no—
1623C22×C4—2816no—
1624C22×C4—282no—
1625C22×C4C23×D711yescharacteristic
1626C22×C4C23×D711yescharacteristic
1627C22×C4C23×D711yescharacteristic
1628C22×C4C23×D711yescharacteristic
1629C22×C4C23×D711yescharacteristic
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×D714yes—
1639C22×C4C23×D714yes—
1640C22×C4C23×D714yes—
1641C22×C4C23×D714yes—
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⋊C4C23×D714yes—
1679C4⋊C4C23×D714yes—
1680C4⋊C4C23×D714yes—
1681C4⋊C4C23×D714yes—
1682C4⋊C4C23×D714yes—
1683C4⋊C4C23×D714yes—
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⋊C4—74no—
1731C22⋊C4—74no—
1732C22⋊C4—74no—
1733C22⋊C4—74no—
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—
1747C42C23×D714yes—
1748C42C23×D714yes—
1749C42C23×D714yes—
1750C2×C7—24no—
1751C2×C7—42no—
1752C2×C7#353514yescomplemented
1753C2×C7C22×H(5,𝔽2)11yescharacteristic
1754C2×C7C22×2−1+411yescharacteristic
1755C2×C7C2×#58511yescharacteristic
1756D7—24no—
1757D7—42no—
1758D7—42no—
1759D7—42no—
1760D7—42no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—72no—
1767C23—74no—
1768C23—72no—
1769C23—72no—
1770C23—72no—
1771C23—72no—
1772C23—148no—
1773C23—142no—
1774C23—142no—
1775C23—142no—
1776C23—148no—
1777C23—142no—
1778C23—142no—
1779C23—142no—
1780C23—142no—
1781C23—142no—
1782C23—142no—
1783C23—142no—
1784C23—142no—
1785C23—142no—
1786C23—142no—
1787C23—142no—
1788C23—148no—
1789C23—284no—
1790C23—284no—
1791C23—284no—
1792C23—2816no—
1793C23—568no—
1794C23#655114yes—
1795C23C24×D712yes—
1796C23C24×D712yes—
1797C23C24×D711yescharacteristic
1798Q8—44no—
1799Q8—44no—
1800Q8—44no—
1801Q8—284no—
1802Q8—284no—
1803Q8—284no—
1804Q8—284no—
1805Q8—284no—
1806Q8—284no—
1807D4—28no—
1808D4—148no—
1809D4—148no—
1810D4—148no—
1811D4—148no—
1812D4—148no—
1813D4—284no—
1814D4—284no—
1815D4—284no—
1816D4—284no—
1817D4—284no—
1818D4—284no—
1819D4—284no—
1820D4—284no—
1821D4—284no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
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—72no—
1852C2×C4—148no—
1853C2×C4—148no—
1854C2×C4—148no—
1855C2×C4—148no—
1856C2×C4—148no—
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—142no—
1866C2×C4—142no—
1867C2×C4—142no—
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×C4C24×D712yes—
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—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—74no—
1902C22—148no—
1903C22—142no—
1904C22—142no—
1905C22—142no—
1906C22—142no—
1907C22—142no—
1908C22—142no—
1909C22—142no—
1910C22—142no—
1911C22—142no—
1912C22—142no—
1913C22—142no—
1914C22—142no—
1915C22—142no—
1916C22—142no—
1917C22—2816no—
1918C22—284no—
1919C22—284no—
1920C22—284no—
1921C22—284no—
1922C22—568no—
1923C22C2×#655114yes—
1924C22C2×#655112yes—
1925C22#9061612yes—
1926C22D7×H(5,𝔽2)12yes—
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—22no—
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—144no—
1955C2—282no—
1956C2—282no—
1957C2—282no—
1958C2—282no—
1959C2#1174401914yesdirect product factor
1960C2C22×#655111yescharacteristic
1961C2C2×#9061611yescharacteristic
1962C2C2×D7×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC23C24×D7
commutator, cosocleC22×C7C26
FrattiniC22C25×D7
FittingC2×C7×#554C2
socleC23×C7C25
hypercenterC2×#554D7
hypocenterC7C2×#3535
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. C2×C7×#554C2semidirect
2. #11744019C2direct (N × H)
3. C2×#90426C2semidirect
4. C2×#90415C2semidirect
5. C2×#90390C2semidirect
6. C2×#90384C2semidirect
7. C2×#90383C2semidirect
8. C2×#90383C2semidirect
9. C2×#90338C2semidirect
10. C2×#90338C2semidirect
11. C2×#90328C2semidirect
12. C2×#90328C2semidirect
13. C2×#90322C2semidirect
14. C2×#90321C2semidirect
15. C2×#90325C2semidirect
16. C2×#90329C2semidirect
17. C2×#90319C2semidirect
18. C2×D7×C22⋊Q8C2semidirect
19. C2×#90314C2semidirect
20. C2×#90331C2semidirect
21. C2×#90272C2semidirect
22. C2×#90273C2semidirect
23. C2×#90247C2semidirect
24. C2×#90247C2semidirect
25. C2×#90241C2semidirect
26. C2×#90251C2semidirect
27. C2×#90238C2semidirect
28. C2×#90255C2semidirect
29. C2×#90198C2semidirect
30. C2×#90206C2semidirect
31. C22×#6457C2semidirect
32. C2×#90202C2semidirect
34. C22×Q8×D7C22semidirect
36. C22×#1157C22semidirect
39. C7×#554C22semidirect
40. C2×C7×C4⋊Q8C22semidirect
41. C2×C7×#125C22semidirect
42. C2×C7×#125C22semidirect
46. C2×C7×C22⋊Q8C22semidirect
47. C2×C7×C22⋊Q8C22semidirect
48. C2×C7×C22⋊Q8C22semidirect
49. C2×C4×C7×Q8C22semidirect
54. C22×C7×C4⋊C4C22semidirect
56. C2×#6510C22semidirect
57. C2×#6510C22semidirect
58. C2×#6509C22semidirect
59. C2×#6509C22semidirect
60. C2×#6509C22semidirect
61. C2×#6509C22semidirect
62. C2×#6509C22semidirect
63. C2×#6507C22semidirect
64. C2×#6507C22semidirect
70. C2×#6493C22semidirect
71. C2×#6492C22semidirect
72. C2×#6492C22semidirect
73. C2×#6492C22semidirect
74. C2×#6492C22semidirect
78. C2×C4×C22⋊D7C22semidirect
79. C2×C4×C22⋊D7C22semidirect
80. C2×C4×C22⋊D7C22semidirect
87. C2×#6487C22semidirect
89. #90426C22semidirect
90. #90415C22semidirect
91. #90390C22semidirect
92. #90384C22semidirect
93. #90383C22semidirect
94. #90383C22semidirect
95. #90338C22semidirect
96. #90338C22semidirect
97. #90331C22semidirect
98. #90329C22semidirect
99. #90328C22semidirect
100. #90328C22semidirect
101. #90325C22semidirect
102. #90322C22semidirect
103. #90321C22semidirect
104. #90319C22semidirect
105. D7×C22⋊Q8C22semidirect
106. #90314C22semidirect
107. #90273C22semidirect
108. #90272C22semidirect
109. #90255C22semidirect
110. #90251C22semidirect
111. #90247C22semidirect
112. #90247C22semidirect
113. #90241C22semidirect
114. #90238C22semidirect
115. #90206C22semidirect
116. C2×#6461C22semidirect
117. C2×#6461C22semidirect
118. C2×#6461C22semidirect
119. C2×#6461C22semidirect
120. C2×#6461C22semidirect
121. C2×#6461C22semidirect
122. C2×#6461C22semidirect
123. #90202C22semidirect
124. C2×#6460C22semidirect
125. C2×#6460C22semidirect
126. C2×#6460C22semidirect
127. C2×#6460C22semidirect
128. C2×#6459C22semidirect
129. C2×#6459C22semidirect
130. C2×#6459C22semidirect
131. C2×#6459C22semidirect
132. C2×#6459C22semidirect
133. C2×#6459C22semidirect
134. C2×#6459C22semidirect
135. C2×#6459C22semidirect
136. C2×#6459C22semidirect
137. C2×#6459C22semidirect
138. C2×#6459C22semidirect
139. C2×#6459C22semidirect
140. #90198C22semidirect
156. C2×#6457C22semidirect
157. C2×#6457C22semidirect
158. C2×#6457C22semidirect
159. C2×#6457C22semidirect
160. C2×#6457C22semidirect
161. C2×#6457C22semidirect
162. C2×#6457C22semidirect
164. C2×#6456C22semidirect
165. C2×#6456C22semidirect
166. C2×#6455C22semidirect
167. C2×#6455C22semidirect
168. C2×D7×C4⋊C4C22semidirect
169. C2×D7×C4⋊C4C22semidirect
170. C2×D7×C4⋊C4C22semidirect
171. C2×D7×C4⋊C4C22semidirect
172. C2×#6452C22semidirect
173. C2×#6452C22semidirect
174. C2×#6452C22semidirect
175. C2×#6452C22semidirect
176. C2×#6452C22semidirect
177. C2×#6452C22semidirect
178. C2×#6452C22semidirect
179. C2×#6451C22semidirect
180. C2×#6451C22semidirect
181. C2×#6451C22semidirect
182. C2×#6450C22semidirect
184. C2×#6448C22semidirect
185. C2×#6448C22semidirect
186. C2×#6448C22semidirect
189. C2×#6447C22semidirect
190. C2×#6447C22semidirect
191. C2×#6446C22semidirect
192. C2×#6446C22semidirect
193. C2×#6446C22semidirect
194. C2×#6446C22semidirect
201. C2×#6442C22semidirect
207. C2×#6439C22semidirect
208. C2×#6439C22semidirect
209. C2×#6439C22semidirect
210. C2×#6439C22semidirect
212. C2×#6438C22semidirect
214. C2×C4×D28C22semidirect
215. C2×#6435C22semidirect
216. C2×#6435C22semidirect
217. C2×#6435C22semidirect
218. C2×#6433C22semidirect
243. C2×Q8×D7C23semidirect
247. C2×#1157C23semidirect
281. C7×C4⋊Q8C23semidirect
282. C7×#125C23semidirect
283. C7×#125C23semidirect
287. C7×C22⋊Q8C23semidirect
288. C7×C22⋊Q8C23semidirect
289. C7×C22⋊Q8C23semidirect
290. C4×C7×Q8C23semidirect
311. C2×C7×C4⋊C4C23semidirect
328. #6510C23semidirect
329. #6510C23semidirect
330. #6509C23semidirect
331. #6509C23semidirect
332. #6509C23semidirect
333. #6509C23semidirect
334. #6509C23semidirect
335. #6507C23semidirect
336. #6507C23semidirect
342. #6493C23semidirect
343. #6492C23semidirect
344. #6492C23semidirect
345. #6492C23semidirect
346. #6492C23semidirect
350. C4×C22⋊D7C23semidirect
351. C4×C22⋊D7C23semidirect
352. C4×C22⋊D7C23semidirect
401. #6487C23semidirect
436. #6461C23semidirect
437. #6461C23semidirect
438. #6461C23semidirect
439. #6461C23semidirect
440. #6461C23semidirect
441. #6461C23semidirect
442. #6461C23semidirect
443. #6460C23semidirect
444. #6460C23semidirect
445. #6460C23semidirect
446. #6460C23semidirect
447. #6459C23semidirect
448. #6459C23semidirect
449. #6459C23semidirect
450. #6459C23semidirect
451. #6459C23semidirect
452. #6459C23semidirect
453. #6459C23semidirect
454. #6459C23semidirect
455. #6459C23semidirect
456. #6459C23semidirect
457. #6459C23semidirect
458. #6459C23semidirect
474. #6457C23semidirect
475. #6457C23semidirect
476. #6457C23semidirect
477. #6457C23semidirect
478. #6457C23semidirect
479. #6457C23semidirect
481. #6456C23semidirect
482. #6456C23semidirect
483. #6455C23semidirect
484. #6455C23semidirect
485. D7×C4⋊C4C23semidirect
486. D7×C4⋊C4C23semidirect
487. D7×C4⋊C4C23semidirect
488. D7×C4⋊C4C23semidirect
489. #6452C23semidirect
490. #6452C23semidirect
491. #6452C23semidirect
492. #6452C23semidirect
493. #6452C23semidirect
494. #6452C23semidirect
495. #6452C23semidirect
496. #6451C23semidirect
497. #6451C23semidirect
498. #6451C23semidirect
499. #6450C23semidirect
501. #6448C23semidirect
502. #6448C23semidirect
503. #6448C23semidirect
506. #6447C23semidirect
507. #6447C23semidirect
508. #6446C23semidirect
509. #6446C23semidirect
510. #6446C23semidirect
511. #6446C23semidirect
518. #6442C23semidirect
524. #6439C23semidirect
525. #6439C23semidirect
526. #6439C23semidirect
527. #6439C23semidirect
529. #6438C23semidirect
531. C4×D28C23semidirect
532. #6435C23semidirect
533. #6435C23semidirect
534. #6435C23semidirect
535. #6433C23semidirect
542. C2×#554D7semidirect
824. #554C2×D7semidirect
852. C2×C4⋊Q8C2×D7semidirect
873. C2×#125C2×D7semidirect
874. C2×#125C2×D7semidirect
945. C2×C22⋊Q8C2×D7semidirect
946. C2×C22⋊Q8C2×D7semidirect
947. C2×C22⋊Q8C2×D7semidirect
963. C2×C4×Q8C2×D7semidirect
991. C22×C4⋊C4C2×D7semidirect
1197. C4⋊Q8C22×D7semidirect
1218. #125C22×D7semidirect
1219. #125C22×D7semidirect
1287. C22⋊Q8C22×D7semidirect
1288. C22⋊Q8C22×D7semidirect
1289. C22⋊Q8C22×D7semidirect
1305. C4×Q8C22×D7semidirect
1383. C2×C4⋊C4C22×D7semidirect
1752. C2×C7#3535semidirect
1893. C7C2×#3535semidirect
1959. C2#11744019direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#5542
#117440192
C2×#904262
C2×#904152
C2×#903902
C2×#903842
C2×#903832
C2×#903382
C2×#903282
C2×#903222
C2×#903212
C2×#903252
C2×#903292
C2×#903192
C2×D7×C22⋊Q82
C2×#903142
C2×#903312
C2×#902722
C2×#902732
C2×#902472
C2×#902412
C2×#902512
C2×#902382
C2×#902552
C2×#901982
C2×#902062
C22×#64572
C2×#902022
C2×#35357