Finite Group Databasebeta

← #13515098

Subgroups — #13515098

Order 1792.

2634 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90251C211yesmaximal, characteristic
2C7×#2275C211yesmaximal, characteristic, complemented
3#11739840C211yesmaximal, characteristic, complemented
4C4×#6500C211yesmaximal, characteristic, complemented
5#11739772C211yesmaximal, characteristic, complemented
6C4×#6502C211yesmaximal, characteristic, complemented
7#11739763C211yesmaximal, characteristic, complemented
8#11731217C211yesmaximal, characteristic, complemented
9#11731112C211yesmaximal, characteristic, complemented
10#11731111C211yesmaximal, characteristic, complemented
11#11731110C211yesmaximal, characteristic, complemented
12#11731109C211yesmaximal, characteristic, complemented
13#11731100C211yesmaximal, characteristic, complemented
14#11731024C211yesmaximal, characteristic, complemented
15#11731014C211yesmaximal, characteristic, complemented
16#11731012C211yesmaximal, characteristic, complemented
17C4×#6445C211yesmaximal, characteristic, complemented
18#11730923C211yesmaximal, characteristic, complemented
19#11730920C211yesmaximal, characteristic, complemented
20#11730917C211yesmaximal, characteristic, complemented
21#11730915C211yesmaximal, characteristic, complemented
22#11730914C211yesmaximal, characteristic, complemented
23#11730892C211yesmaximal, characteristic, complemented
24C4×#6441C211yesmaximal, characteristic, complemented
25#11730883C211yesmaximal, characteristic, complemented
26#11730841C211yesmaximal, characteristic, complemented
27#11730840C211yesmaximal, characteristic, complemented
28#11730783C211yesmaximal, characteristic, complemented
29#11730782C211yesmaximal, characteristic, complemented
30#11730767C211yesmaximal, characteristic, complemented
31C2×#89438C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×#6502C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6493C2211yescharacteristic
39C2×#6492C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic, complemented
46C22×(C2×D7)⋊C4C2211yescharacteristic
47C22×(C2×D7)⋊C4C2211yescharacteristic
48C2×#6489C2211yescharacteristic, complemented
49C22×C4×Dic7C2211yescharacteristic
50C22×C4×Dic7C2211yescharacteristic
51#90251C4116yescomplemented
52C2×#6461C2211yescharacteristic
53C2×#6457C2211yescharacteristic
54C2×#6448C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6445C2211yescharacteristic
57C2×#6441C2211yescharacteristic
58C2×#6439C2211yescharacteristic
59C2×#6438C2211yescharacteristic
60C2×C4×D28C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic
62C2×#6435C2211yescharacteristic, complemented
63C2×C4×Dic14C2211yescharacteristic, complemented
64C4×C7×C4⋊C4C2211yescharacteristic, complemented
65C4×C7×C4⋊C4C2211yescharacteristic, complemented
66C4×C7×C4⋊C4C2211yescharacteristic, complemented
67C4×C7×C22⋊C4C2211yescharacteristic
68C4×C7×C22⋊C4C2211yescharacteristic
69C4×C7×C22⋊C4C2211yescharacteristic
70C4×C7×C22⋊C4C2211yescharacteristic, complemented
71C4×C7×C22⋊C4C2211yescharacteristic, complemented
72C4×C7×C22⋊C4C2211yescharacteristic, complemented
73C7×#376C2211yescharacteristic, complemented
74C2×C7×#95C2211yescharacteristic
75C2×C7×#95C2211yescharacteristic, complemented
76#89992C2211yescharacteristic
77#89992C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic
80#89985C2211yescharacteristic, complemented
81#89982C2211yescharacteristic, complemented
82C4×C22⋊Dic7C2211yescharacteristic
83C4×C22⋊Dic7C2211yescharacteristic
84C4×C22⋊Dic7C2211yescharacteristic
85C4×C22⋊Dic7C2211yescharacteristic, complemented
86C4×C22⋊Dic7C2211yescharacteristic, complemented
87C2×C7⋊#95C2211yescharacteristic
88#89762C2211yescharacteristic
89#89762C2211yescharacteristic
90#89762C2211yescharacteristic, complemented
91#89761C2211yescharacteristic
92#89761C2211yescharacteristic
93#89761C2211yescharacteristic, complemented
94#89753C2211yescharacteristic, complemented
95#89753C2211yescharacteristic, complemented
96#89750C2211yescharacteristic, complemented
97#89744C2211yescharacteristic, complemented
98#89730C2211yescharacteristic
99#89730C2211yescharacteristic
100#89729C2211yescharacteristic
101#89729C2211yescharacteristic
102#89729C2211yescharacteristic, complemented
103#89728C2211yescharacteristic
104#89728C2211yescharacteristic
105#89728C2211yescharacteristic, complemented
106#89727C2211yescharacteristic
107#89727C2211yescharacteristic
108#89723C2211yescharacteristic, complemented
109#89723C2211yescharacteristic, complemented
110#89722C2211yescharacteristic
111#89722C2211yescharacteristic
112#89718C2211yescharacteristic
113#89718C2211yescharacteristic
114#89717C2211yescharacteristic, complemented
115#89716C2211yescharacteristic, complemented
116#89714C2211yescharacteristic
117#89714C2211yescharacteristic
118#89712C2211yescharacteristic
119#89712C2211yescharacteristic
120#89712C2211yescharacteristic
121#89712C2211yescharacteristic
122#89712C2211yescharacteristic
123#89712C2211yescharacteristic
124#89712C2211yescharacteristic
125#89712C2211yescharacteristic
126#89712C2211yescharacteristic, complemented
127#89711C2211yescharacteristic
128#89711C2211yescharacteristic
129C4×(C2×D7)⋊C4C2211yescharacteristic
130C4×(C2×D7)⋊C4C2211yescharacteristic
131C4×(C2×D7)⋊C4C2211yescharacteristic
132C4×(C2×D7)⋊C4C2211yescharacteristic
133C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
134C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
135C4×C4⋊Dic7C2211yescharacteristic, complemented
136C4×C4⋊Dic7C2211yescharacteristic, complemented
137#89705C2211yescharacteristic, complemented
138#89705C2211yescharacteristic, complemented
139#89705C2211yescharacteristic, complemented
140#89704C2211yescharacteristic, complemented
141#89704C2211yescharacteristic, complemented
142C4×Dic7⋊C4C2211yescharacteristic, complemented
143C4×Dic7⋊C4C2211yescharacteristic, complemented
144C4×Dic7⋊C4C2211yescharacteristic, complemented
145C4×Dic7⋊C4C2211yescharacteristic, complemented
146#89701C2211yescharacteristic, complemented
147#89700C2211yescharacteristic, complemented
148#89442C2211yescharacteristic
149#89442C2211yescharacteristic
150#89441C2211yescharacteristic
151#89441C2211yescharacteristic
152#89441C2211yescharacteristic
153#89441C2211yescharacteristic
154#89441C2211yescharacteristic, complemented
155#89441C2211yescharacteristic, complemented
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic
158#89438C2211yescharacteristic
159#89438C2211yescharacteristic
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic, complemented
167#89438C2211yescharacteristic, complemented
168#89438C2211yescharacteristic, complemented
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173D7×#95C2211yescharacteristic, complemented
174#89427C2211yescharacteristic, complemented
175#89427C2211yescharacteristic, complemented
176#89426C2211yescharacteristic, complemented
177#89426C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89421C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89420C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34277—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×C4×D7—24no—
207C22×C4×D7—42no—
208C22×C4×D7—42no—
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C4×C7×D4—24no—
218C4×C7×D4—24no—
219C4×C7×D4C2×C418yescomplemented
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C42×C7C2311yescharacteristic
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246#6502C2×C418yescomplemented
247#6500C2×C418yescomplemented
248#6493C2×C418yescomplemented
249#6492C2×C418yescomplemented
250C4×C22⋊D7—24no—
251C4×C22⋊D7—24no—
252C4×C22⋊D7—42no—
253C4×C22⋊D7—42no—
254C4×C22⋊D7—42no—
255C4×C22⋊D7C2×C418yescomplemented
256C2×(C2×D7)⋊C4—24no—
257C2×(C2×D7)⋊C4C2×C418yescomplemented
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286#6489—42no—
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×C4×Dic7—42no—
307C2×C4×Dic7—42no—
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325#6461C2×C418yescomplemented
326#6457C2×C418yescomplemented
327#6448C2×C418yescomplemented
328#6447C2×C418yescomplemented
329#6445C2×C418yescomplemented
330#6441C2×C418yescomplemented
331#6439C2×C418yescomplemented
332#6438C2×C418yescomplemented
333C4×D28—42no—
334C4×D28—42no—
335#6435—42no—
336C4×Dic14—42no—
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7×#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C2×#538—71no—
378#2374—71no—
379#2374—71no—
380#2373—71no—
381#2373—71no—
382#2373—71no—
383#2373—71no—
384#2372—71no—
385#2372—71no—
386#2367—71no—
387#2367—71no—
388#2364—71no—
389#2364—71no—
390#2363—71no—
391#2363—71no—
392#2359—71no—
393#2359—71no—
394#2329—71no—
395#2325—71no—
396#2321—71no—
397#2321—71no—
398#2312—71no—
399C4×C22⋊Q8—71no—
400C4×#121—71no—
401C4×#120—71no—
402C4×#120—71no—
403#2290—71no—
404#2290—71no—
405#2275—71no—
406#2275D711yescharacteristic, complemented
407C2×C4×C22⋊C4—71no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7C22×C414yes—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—22no—
421C2×C7×D4—22no—
422C2×C7×D4C22×C414yes—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7C22×C414yes—
438C22×C4×C7C22×C414yescomplemented
439C22×C4×C7#4114yes—
440C22×C4×C7#4114yes—
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7C22×C414yes—
463C2×C22⋊D7C22×C414yes—
464C2×C22⋊D7C22×C414yes—
465C2×C22⋊D7C22×C414yescomplemented
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7C22×C414yes—
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28C22×C414yes—
493C2×D28C22×C414yes—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—416no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7C22×C414yescomplemented
516C2×Dic14—41no—
517C2×Dic14—41no—
518C2×Dic14C22×C414yescomplemented
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4C22×C414yescomplemented
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4C22×C414yes—
527C7×C22⋊C4C22×C414yescomplemented
528C42×C7—22no—
529C42×C7—22no—
530C42×C7—41no—
531C42×C7—41no—
532C42×C7—41no—
533C42×C7—41no—
534C42×C7—41no—
535C42×C7—41no—
536C42×C7C22×C414yescomplemented
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7C22×C414yes—
544C22⋊Dic7C22×C414yescomplemented
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—41no—
554(C2×D7)⋊C4—41no—
555(C2×D7)⋊C4—41no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4C22×C414yes—
564(C2×D7)⋊C4C22×C414yes—
565(C2×D7)⋊C4C22×C414yes—
566(C2×D7)⋊C4C22×C414yes—
567(C2×D7)⋊C4C22×C414yes—
568(C2×D7)⋊C4C22×C414yes—
569(C2×D7)⋊C4C22×C414yes—
570(C2×D7)⋊C4C22×C414yes—
571(C2×D7)⋊C4C22×C414yescomplemented
572(C2×D7)⋊C4C22×C414yescomplemented
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—41no—
576C4⋊Dic7—41no—
577C4⋊Dic7C22×C414yescomplemented
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—41no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4C22×C414yescomplemented
589Dic7⋊C4C22×C414yescomplemented
590Dic7⋊C4C22×C414yescomplemented
591Dic7⋊C4C22×C414yescomplemented
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—22no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7—41no—
608C4×Dic7C22×C414yescomplemented
609C24×C4—71no—
610#538—716no—
611C2×#126—71no—
612C2×#126—71no—
613C2×#124—71no—
614C2×#124—71no—
615C2×#123—71no—
616C2×#123—71no—
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#121—71no—
621C2×#120—71no—
622C2×#120—71no—
623C2×C4×Q8—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4—71no—
632C2×C4×D4C2×D711yescharacteristic
633C2×C4×D4C2×D711yescharacteristic
634C2×C4×D4C2×D711yescharacteristic
635C2×#117—71no—
636C2×#117—71no—
637C22×C22⋊C4—71no—
638C22×C22⋊C4—71no—
639C22×C42—71no—
640C22×C42—71no—
641#391—71no—
642#391—71no—
643#391—71no—
644#390—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#389—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#388—71no—
654#388—71no—
655#388—71no—
656#388—71no—
657#388—71no—
658#388—71no—
659#388—71no—
660#388—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388—71no—
676#388—71no—
677#387—71no—
678#387—71no—
679#387—71no—
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#387—71no—
688#387—71no—
689#386—71no—
690#386—71no—
691#386—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#385—71no—
704#385—71no—
705#385—71no—
706#385—71no—
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385—71no—
713#380—71no—
714#380—71no—
715#379—71no—
716#379—71no—
717C4×C4⋊C4—71no—
718C4×C4⋊C4—71no—
719C4×C4⋊C4—71no—
720C4×C4⋊C4—71no—
721C4×C4⋊C4—71no—
722C4×C4⋊C4—71no—
723C4×C4⋊C4—71no—
724C4×C4⋊C4—71no—
725C4×C4⋊C4—71no—
726C4×C4⋊C4C2×D711yescharacteristic, complemented
727C4×C4⋊C4C2×D711yescharacteristic, complemented
728C4×C4⋊C4C2×D711yescharacteristic, complemented
729C4×C22⋊C4—71no—
730C4×C22⋊C4—71no—
731C4×C22⋊C4—71no—
732C4×C22⋊C4—71no—
733C4×C22⋊C4—71no—
734C4×C22⋊C4—71no—
735C4×C22⋊C4—71no—
736C4×C22⋊C4—71no—
737C4×C22⋊C4—71no—
738C4×C22⋊C4—71no—
739C4×C22⋊C4—71no—
740C4×C22⋊C4—71no—
741C4×C22⋊C4—71no—
742C4×C22⋊C4—71no—
743C4×C22⋊C4—71no—
744C4×C22⋊C4—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4C2×D711yescharacteristic
752C4×C22⋊C4C2×D711yescharacteristic
753C4×C22⋊C4C2×D711yescharacteristic
754C4×C22⋊C4C2×D711yescharacteristic, complemented
755C4×C22⋊C4C2×D711yescharacteristic, complemented
756C4×C22⋊C4C2×D711yescharacteristic, complemented
757#376—71no—
758#376—71no—
759#376—71no—
760#376C2×D711yescharacteristic, complemented
761C2×#95—71no—
762C2×#95—71no—
763C2×#95C2×D711yescharacteristic
764C2×#95C2×D711yescharacteristic, complemented
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7C23×C412yes—
776C23×C7C23×C412yes—
777C23×C7C2×#4112yes—
778C23×C7C2×#4112yes—
779C23×C7C2511yescharacteristic
780C22×D7—28no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7C23×C412yes—
806C22×D7C23×C412yes—
807C22×D7C23×C412yes—
808C7×D4—28no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—44no—
840C2×C4×C7—44no—
841C2×C4×C7—44no—
842C2×C4×C7—44no—
843C2×C4×C7—82no—
844C2×C4×C7—82no—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C23×C412yes—
848C2×C4×C7C23×C412yes—
849C2×C4×C7C23×C412yes—
850C2×C4×C7C2×#4112yes—
851C2×C4×C7C2×#4112yes—
852C2×C4×C7C2×#4112yes—
853C2×C4×C7C2×#4112yes—
854C22⋊D7—28no—
855C22⋊D7—44no—
856C22⋊D7—44no—
857C22⋊D7—44no—
858C2×Dic7—28no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—44no—
892C2×Dic7—44no—
893C2×Dic7C23×C412yes—
894C2×Dic7C23×C412yes—
895C2×Dic7C23×C412yes—
896C2×Dic7C23×C412yes—
897C2×Dic7C23×C412yes—
898C2×Dic7H(5,𝔽2)12yes—
899C2×Dic7H(5,𝔽2)12yes—
900D28—44no—
901D28—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—82no—
908C4×D7—82no—
909Dic14—44no—
910C25—71no—
911C22×Q8—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4C22×D711yescharacteristic
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—144no—
930C23×C4—282no—
931C23×C4—282no—
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934C23×C4C22×D711yescharacteristic
935C23×C4C22×D711yescharacteristic
936C23×C4C22×D711yescharacteristic
937C23×C4C22×D711yescharacteristic
938#126—78no—
939#126—78no—
940#124—78no—
941#124—78no—
942#123—78no—
943#123—78no—
944C22⋊Q8—78no—
945#121—78no—
946#121—78no—
947#121—78no—
948#120—78no—
949#120—78no—
950C4×Q8—282no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—78no—
954C4×D4—144no—
955C4×D4—144no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C4×D4—282no—
960C4×D4—282no—
961C4×D4C4×D718yescomplemented
962#117—282no—
963#117—282no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—78no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—144no—
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C42—71no—
1031C2×C42—71no—
1032C2×C42—71no—
1033C2×C42—71no—
1034C2×C42—71no—
1035C2×C42—71no—
1036C2×C42—71no—
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—282no—
1048C2×C42—282no—
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052C2×C42C22×D711yescharacteristic
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057C2×C42C22×D711yescharacteristic
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7C4×#4114yes—
1112C22×C7C24×C411yescharacteristic
1113C22×C7C22×#4111yescharacteristic
1114C22×C7C22×#4111yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×H(5,𝔽2)11yescharacteristic
1117C22×C7#58511yescharacteristic
1118C22×C7#58511yescharacteristic
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—416no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—22no—
1147C4×C7—22no—
1148C4×C7—22no—
1149C4×C7—22no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167C24—71no—
1168C24—71no—
1169C24—71no—
1170C24—74no—
1171C24—142no—
1172C24—142no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24—281no—
1177C24C23×D711yescharacteristic
1178C24C23×D711yescharacteristic
1179C2×Q8—74no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—281no—
1193C2×D4—281no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4C2×C4×D714yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—74no—
1225C22×C4—74no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—2816no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4C2×C4×D714yes—
1262C22×C4C2×C4×D714yescomplemented
1263C22×C4#115714yes—
1264C22×C4#115714yes—
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—74no—
1281C4⋊C4—74no—
1282C4⋊C4—74no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4C2×C4×D714yescomplemented
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—74no—
1305C22⋊C4—74no—
1306C22⋊C4—74no—
1307C22⋊C4—74no—
1308C22⋊C4—74no—
1309C22⋊C4—74no—
1310C22⋊C4—74no—
1311C22⋊C4—74no—
1312C22⋊C4—74no—
1313C22⋊C4—74no—
1314C22⋊C4—74no—
1315C22⋊C4—74no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—281no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4C2×C4×D714yes—
1341C22⋊C4C2×C4×D714yescomplemented
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—74no—
1351C42—142no—
1352C42—142no—
1353C42—142no—
1354C42—142no—
1355C42—142no—
1356C42—142no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42C2×C4×D714yescomplemented
1368C2×C7—24no—
1369C2×C7—42no—
1370C2×C7C2×C4×#4111yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7C4×H(5,𝔽2)11yescharacteristic
1373C2×C7#349011yescharacteristic
1374C2×C7#349311yescharacteristic
1375C2×C7#350511yescharacteristic
1376C2×C7#350611yescharacteristic
1377D7—42no—
1378D7—42no—
1379D7—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—72no—
1391C23—72no—
1392C23—72no—
1393C23—148no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—284no—
1413C23—284no—
1414C23—284no—
1415C23—284no—
1416C23—284no—
1417C23—284no—
1418C23C22×C4×D712yes—
1419C23C22×C4×D712yes—
1420C23C2×#115712yes—
1421C23C2×#115712yes—
1422C23C24×D711yescharacteristic
1423Q8—284no—
1424D4—28no—
1425D4—148no—
1426D4—284no—
1427D4—284no—
1428D4—284no—
1429D4—284no—
1430D4—284no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—72no—
1471C2×C4—72no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—148no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—284no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4C22×C4×D712yes—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4C22×C4×D712yes—
1521C2×C4C2×#115712yes—
1522C2×C4C2×#115712yes—
1523C2×C4C2×#115712yes—
1524C2×C4C2×#115712yes—
1525C7#3427711yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—2816no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22C4×#115714yes—
1562C22C23×C4×D711yescharacteristic
1563C22C22×#115711yescharacteristic
1564C22C22×#115711yescharacteristic
1565C22D7×H(5,𝔽2)11yescharacteristic
1566C22D7×H(5,𝔽2)11yescharacteristic
1567C22#9061811yescharacteristic
1568C22#9062011yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—142no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C2—24no—
1596C2—42no—
1597C2—282no—
1598C2—282no—
1599C2—282no—
1600C2C2×C4×#115711yescharacteristic
1601C2#1174292511yescharacteristic
1602C2#1174292911yescharacteristic
1603C2#1174293611yescharacteristic
1604C2#1174295411yescharacteristic
1605C2#1174295611yescharacteristic
1606C2#1174295911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2275C2
socle, cosocleC23×C7C25
prime radicalC2×#90251C2
hypercenter#2275D7
hypocenterC7#34277
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2275

Complements

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

NH ≅ G/Ntype
2. C7×#2275C2semidirect
3. #11739840C2semidirect
4. C4×#6500C2semidirect
5. #11739772C2semidirect
6. C4×#6502C2semidirect
7. #11739763C2semidirect
8. #11731217C2semidirect
9. #11731112C2semidirect
10. #11731111C2semidirect
11. #11731110C2semidirect
12. #11731109C2semidirect
13. #11731100C2semidirect
14. #11731024C2semidirect
15. #11731014C2semidirect
16. #11731012C2semidirect
17. C4×#6445C2semidirect
18. #11730923C2semidirect
19. #11730920C2semidirect
20. #11730917C2semidirect
21. #11730915C2semidirect
22. #11730914C2semidirect
23. #11730892C2semidirect
24. C4×#6441C2semidirect
25. #11730883C2semidirect
26. #11730841C2semidirect
27. #11730840C2semidirect
28. #11730783C2semidirect
29. #11730782C2semidirect
30. #11730767C2semidirect
31. C2×#89438C2semidirect
45. C2×C4×C22⋊D7C22semidirect
48. C2×#6489C22semidirect
51. #90251C4semidirect
62. C2×#6435C22semidirect
63. C2×C4×Dic14C22semidirect
64. C4×C7×C4⋊C4C22semidirect
65. C4×C7×C4⋊C4C22semidirect
66. C4×C7×C4⋊C4C22semidirect
70. C4×C7×C22⋊C4C22semidirect
71. C4×C7×C22⋊C4C22semidirect
72. C4×C7×C22⋊C4C22semidirect
73. C7×#376C22semidirect
75. C2×C7×#95C22semidirect
80. #89985C22semidirect
81. #89982C22semidirect
85. C4×C22⋊Dic7C22semidirect
86. C4×C22⋊Dic7C22semidirect
90. #89762C22semidirect
93. #89761C22semidirect
94. #89753C22semidirect
95. #89753C22semidirect
96. #89750C22semidirect
97. #89744C22semidirect
102. #89729C22semidirect
105. #89728C22semidirect
108. #89723C22semidirect
109. #89723C22semidirect
114. #89717C22semidirect
115. #89716C22semidirect
126. #89712C22semidirect
133. C4×(C2×D7)⋊C4C22semidirect
134. C4×(C2×D7)⋊C4C22semidirect
135. C4×C4⋊Dic7C22semidirect
136. C4×C4⋊Dic7C22semidirect
137. #89705C22semidirect
138. #89705C22semidirect
139. #89705C22semidirect
140. #89704C22semidirect
141. #89704C22semidirect
142. C4×Dic7⋊C4C22semidirect
143. C4×Dic7⋊C4C22semidirect
144. C4×Dic7⋊C4C22semidirect
145. C4×Dic7⋊C4C22semidirect
146. #89701C22semidirect
147. #89700C22semidirect
154. #89441C22semidirect
155. #89441C22semidirect
166. #89438C22semidirect
167. #89438C22semidirect
168. #89438C22semidirect
173. D7×#95C22semidirect
174. #89427C22semidirect
175. #89427C22semidirect
176. #89426C22semidirect
177. #89426C22semidirect
178. #89424C22semidirect
179. #89424C22semidirect
180. #89421C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89420C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
219. C4×C7×D4C2×C4semidirect
246. #6502C2×C4semidirect
247. #6500C2×C4semidirect
248. #6493C2×C4semidirect
249. #6492C2×C4semidirect
255. C4×C22⋊D7C2×C4semidirect
257. C2×(C2×D7)⋊C4C2×C4semidirect
325. #6461C2×C4semidirect
326. #6457C2×C4semidirect
327. #6448C2×C4semidirect
328. #6447C2×C4semidirect
329. #6445C2×C4semidirect
330. #6441C2×C4semidirect
331. #6439C2×C4semidirect
332. #6438C2×C4semidirect
406. #2275D7semidirect
438. C22×C4×C7C22×C4semidirect
465. C2×C22⋊D7C22×C4semidirect
515. C2×C4×D7C22×C4semidirect
518. C2×Dic14C22×C4semidirect
521. C7×C4⋊C4C22×C4semidirect
527. C7×C22⋊C4C22×C4semidirect
536. C42×C7C22×C4semidirect
544. C22⋊Dic7C22×C4semidirect
571. (C2×D7)⋊C4C22×C4semidirect
572. (C2×D7)⋊C4C22×C4semidirect
577. C4⋊Dic7C22×C4semidirect
588. Dic7⋊C4C22×C4semidirect
589. Dic7⋊C4C22×C4semidirect
590. Dic7⋊C4C22×C4semidirect
591. Dic7⋊C4C22×C4semidirect
608. C4×Dic7C22×C4semidirect
726. C4×C4⋊C4C2×D7semidirect
727. C4×C4⋊C4C2×D7semidirect
728. C4×C4⋊C4C2×D7semidirect
754. C4×C22⋊C4C2×D7semidirect
755. C4×C22⋊C4C2×D7semidirect
756. C4×C22⋊C4C2×D7semidirect
760. #376C2×D7semidirect
764. C2×#95C2×D7semidirect
961. C4×D4C4×D7semidirect
1262. C22×C4C2×C4×D7semidirect
1299. C4⋊C4C2×C4×D7semidirect
1341. C22⋊C4C2×C4×D7semidirect
1367. C42C2×C4×D7semidirect
1525. C7#34277semidirect

Maximal subgroups

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

subgroupindex
C2×#902512
C7×#22752
#117398402
C4×#65002
#117397722
C4×#65022
#117397632
#117312172
#117311122
#117311112
#117311102
#117311092
#117311002
#117310242
#117310142
#117310122
C4×#64452
#117309232
#117309202
#117309172
#117309152
#117309142
#117308922
C4×#64412
#117308832
#117308412
#117308402
#117307832
#117307822
#117307672
C2×#894382
#342777