Finite Group Databasebeta

← #13515224

Subgroups — #13515224

Order 1792.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90185C211yesmaximal, characteristic
2C2×C7×#388C211yesmaximal, characteristic, complemented
3#11739608C211yesmaximal, characteristic, complemented
4#11739607C211yesmaximal, characteristic, complemented
5#11739544C211yesmaximal, characteristic, complemented
6#11739544C211yesmaximal, characteristic, complemented
7#11739544C211yesmaximal, characteristic, complemented
8#11739544C211yesmaximal, characteristic, complemented
9#11739528C211yesmaximal, characteristic, complemented
10#11739510C211yesmaximal, characteristic, complemented
11C42×C22⋊D7C211yesmaximal, characteristic, complemented
12#11733284C211yesmaximal, characteristic, complemented
13#11733282C211yesmaximal, characteristic, complemented
14#11733276C211yesmaximal, characteristic, complemented
15#11733275C211yesmaximal, characteristic, complemented
16#11732932C211yesmaximal, characteristic, complemented
17#11732930C211yesmaximal, characteristic, complemented
18#11732929C211yesmaximal, characteristic, complemented
19#11732928C211yesmaximal, characteristic, complemented
20#11732926C211yesmaximal, characteristic, complemented
21#11732925C211yesmaximal, characteristic, complemented
22#11732916C211yesmaximal, characteristic, complemented
23#11732910C211yesmaximal, characteristic, complemented
24#11732900C211yesmaximal, characteristic, complemented
25#11732899C211yesmaximal, characteristic, complemented
26#11732898C211yesmaximal, characteristic, complemented
27#11732897C211yesmaximal, characteristic, complemented
28#11730812C211yesmaximal, characteristic, complemented
29#11730784C211yesmaximal, characteristic, complemented
30#11730783C211yesmaximal, characteristic, complemented
31#11730767C211yesmaximal, characteristic, complemented
32C22×C7×C4⋊C4C2211yescharacteristic
33C22×C7×C22⋊C4C2211yescharacteristic
34C22×C7×C22⋊C4C2211yescharacteristic
35C22×C7×C22⋊C4C2211yescharacteristic
36C22×C42×C7C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C2×#6516C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C22×C22⋊Dic7C2211yescharacteristic
41C2×#6493C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×#6487C2211yescharacteristic
49C2×#6456C2211yescharacteristic, complemented
50C2×#6450C2211yescharacteristic, complemented
51#90185C4116yescomplemented
52C2×#6448C2211yescharacteristic
53C2×#6448C2211yescharacteristic
54C2×#6447C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6446C2211yescharacteristic
57C2×#6446C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic
59C2×(C22⋊D7)⋊C4C2211yescharacteristic
60C2×(C22⋊D7)⋊C4C2211yescharacteristic
61C2×(C22⋊D7)⋊C4C2211yescharacteristic
62C2×#6442C2211yescharacteristic
63C2×#6442C2211yescharacteristic
64C2×#6435C2211yescharacteristic, complemented
65C2×C42×D7C2211yescharacteristic, complemented
66C7×#388C2211yescharacteristic
67C7×#388C2211yescharacteristic
68C7×#388C2211yescharacteristic
69C7×#388C2211yescharacteristic
70C7×#388C2211yescharacteristic
71C7×#388C2211yescharacteristic
72C7×#388C2211yescharacteristic
73C7×#388C2211yescharacteristic
74C2×C7×#95C2211yescharacteristic
75C2×C7×#95C2211yescharacteristic
76#89985C2211yescharacteristic
77#89985C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic
80#89982C2211yescharacteristic
81#89982C2211yescharacteristic
82#89982C2211yescharacteristic
83#89982C2211yescharacteristic
84C4×C22⋊Dic7C2211yescharacteristic
85C4×C22⋊Dic7C2211yescharacteristic
86C4×C22⋊Dic7C2211yescharacteristic
87C4×C22⋊Dic7C2211yescharacteristic
88C4×C22⋊Dic7C2211yescharacteristic
89C4×C22⋊Dic7C2211yescharacteristic
90C4×C22⋊Dic7C2211yescharacteristic
91C4×C22⋊Dic7C2211yescharacteristic
92#89762C2211yescharacteristic, complemented
93#89762C2211yescharacteristic, complemented
94#89761C2211yescharacteristic, complemented
95#89761C2211yescharacteristic, complemented
96#89760C2211yescharacteristic, complemented
97#89750C2211yescharacteristic, complemented
98#89750C2211yescharacteristic, complemented
99C4⋊C4×Dic7C2211yescharacteristic, complemented
100C4⋊C4×Dic7C2211yescharacteristic, complemented
101#89746C2211yescharacteristic, complemented
102#89745C2211yescharacteristic, complemented
103#89745C2211yescharacteristic, complemented
104#89744C2211yescharacteristic, complemented
105#89744C2211yescharacteristic, complemented
106#89730C2211yescharacteristic
107#89730C2211yescharacteristic
108#89730C2211yescharacteristic
109#89730C2211yescharacteristic
110#89729C2211yescharacteristic
111#89729C2211yescharacteristic
112#89729C2211yescharacteristic
113#89729C2211yescharacteristic
114#89728C2211yescharacteristic
115#89728C2211yescharacteristic
116#89728C2211yescharacteristic
117#89728C2211yescharacteristic
118#89718C2211yescharacteristic
119#89718C2211yescharacteristic
120#89718C2211yescharacteristic
121#89718C2211yescharacteristic
122#89717C2211yescharacteristic
123#89717C2211yescharacteristic
124#89717C2211yescharacteristic
125#89717C2211yescharacteristic
126#89716C2211yescharacteristic
127#89716C2211yescharacteristic
128#89716C2211yescharacteristic
129#89716C2211yescharacteristic
130C22⋊C4×Dic7C2211yescharacteristic
131C22⋊C4×Dic7C2211yescharacteristic
132C22⋊C4×Dic7C2211yescharacteristic
133C22⋊C4×Dic7C2211yescharacteristic
134C22⋊C4×Dic7C2211yescharacteristic
135C22⋊C4×Dic7C2211yescharacteristic
136C22⋊C4×Dic7C2211yescharacteristic
137C22⋊C4×Dic7C2211yescharacteristic
138C22⋊C4×Dic7C2211yescharacteristic
139C22⋊C4×Dic7C2211yescharacteristic
140C22⋊C4×Dic7C2211yescharacteristic
141C22⋊C4×Dic7C2211yescharacteristic
142#89712C2211yescharacteristic, complemented
143#89712C2211yescharacteristic, complemented
144C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
148#89705C2211yescharacteristic, complemented
149#89705C2211yescharacteristic, complemented
150#89704C2211yescharacteristic, complemented
151C4×Dic7⋊C4C2211yescharacteristic, complemented
152C4×Dic7⋊C4C2211yescharacteristic, complemented
153C4×Dic7⋊C4C2211yescharacteristic, complemented
154C4×Dic7⋊C4C2211yescharacteristic, complemented
155C42×Dic7C2211yescharacteristic, complemented
156#89441C2211yescharacteristic, complemented
157#89441C2211yescharacteristic, complemented
158#89441C2211yescharacteristic, complemented
159#89441C2211yescharacteristic, complemented
160#89439C2211yescharacteristic, complemented
161#89438C2211yescharacteristic, complemented
162#89438C2211yescharacteristic, complemented
163#89438C2211yescharacteristic, complemented
164#89438C2211yescharacteristic, complemented
165#89438C2211yescharacteristic, complemented
166#89437C2211yescharacteristic, complemented
167#89437C2211yescharacteristic, complemented
168#89436C2211yescharacteristic, complemented
169D7×#95C2211yescharacteristic, complemented
170#89426C2211yescharacteristic, complemented
171#89426C2211yescharacteristic, complemented
172#89425C2211yescharacteristic, complemented
173#89425C2211yescharacteristic, complemented
174#89424C2211yescharacteristic, complemented
175#89424C2211yescharacteristic, complemented
176#89424C2211yescharacteristic, complemented
177#89424C2211yescharacteristic, complemented
178#89423C2211yescharacteristic, complemented
179#89422C2211yescharacteristic, complemented
180#89421C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89420C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34283—71nomaximal, Sylow
189C25×C7C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C2×C7×C4⋊C4—42no—
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4—42no—
220C2×C7×C22⋊C4—42no—
221C2×C7×C22⋊C4C2×C418yescomplemented
222C2×C7×C22⋊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×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C42×C7—42no—
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239#6516C2×C418yescomplemented
240#6516C2×C418yescomplemented
241C2×C22⋊Dic7—24no—
242C2×C22⋊Dic7—24no—
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257#6493C2×C418yescomplemented
258C4×C22⋊D7—24no—
259C4×C22⋊D7—24no—
260C4×C22⋊D7—24no—
261C4×C22⋊D7—24no—
262C4×C22⋊D7C2×C418yescomplemented
263C4×C22⋊D7C2×C418yescomplemented
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×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282#6487C2×C418yescomplemented
283C2×Dic7⋊C4C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
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
321#6456—42no—
322#6450—42no—
323#6448C2×C418yescomplemented
324#6448C2×C418yescomplemented
325#6447C2×C418yescomplemented
326#6447C2×C418yescomplemented
327#6446C2×C418yescomplemented
328#6446C2×C418yescomplemented
329(C22⋊D7)⋊C4—42no—
330(C22⋊D7)⋊C4—42no—
331(C22⋊D7)⋊C4—42no—
332(C22⋊D7)⋊C4—42no—
333#6442C2×C418yescomplemented
334#6442C2×C418yescomplemented
335#6435—42no—
336C42×D7—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#2373—71no—
380#2373—71no—
381#2372—71no—
382#2368—71no—
383#2367—71no—
384#2364—71no—
385#2364—71no—
386#2363—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2358—71no—
391#2358—71no—
392#2358—71no—
393#2358—71no—
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2333—71no—
398#2318—71no—
399C4×#126—71no—
400C4×#124—71no—
401C4×#123—71no—
402C4×#121—71no—
403#2290—71no—
404C2×#388D711yescharacteristic, complemented
405#2275—71no—
406#2273—71no—
407C42×D4—71no—
408C24×C7—22no—
409C24×C7—22no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7C22×C414yes—
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C24×C7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C22×C4×C7—22no—
421C22×C4×C7—22no—
422C22×C4×C7—22no—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
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×C7C22×C414yes—
437C22×C4×C7C22×C414yes—
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
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
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
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×C414yes—
466C2×C22⋊D7C22×C414yes—
467C2×C22⋊D7C22×C414yes—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—22no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7—41no—
476C22×Dic7—41no—
477C22×Dic7—41no—
478C22×Dic7—41no—
479C22×Dic7—41no—
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C2×D28—41no—
495C2×D28—41no—
496C2×D28C22×C414yes—
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—41no—
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—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7C22×C414yes—
514C2×C4×D7C22×C414yes—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14C22×C414yes—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4C22×C414yes—
531C7×C22⋊C4C22×C414yes—
532C7×C22⋊C4C22×C414yes—
533C7×C22⋊C4C22×C414yes—
534C42×C7—22no—
535C42×C7—22no—
536C42×C7—41no—
537C42×C7—41no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7C22×C414yes—
545C22⋊Dic7C22×C414yes—
546C22⋊Dic7C22×C414yes—
547C22⋊Dic7C22×C414yes—
548C22⋊Dic7C22×C414yes—
549C22⋊Dic7C22×C414yes—
550C22⋊Dic7#4114yes—
551C22⋊Dic7#4114yes—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
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)⋊C4—41no—
564(C2×D7)⋊C4C22×C414yes—
565(C2×D7)⋊C4C22×C414yes—
566(C2×D7)⋊C4C22×C414yes—
567(C2×D7)⋊C4C22×C414yes—
568C4⋊Dic7C22×C414yes—
569C4⋊Dic7C22×C414yes—
570Dic7⋊C4—22no—
571Dic7⋊C4—22no—
572Dic7⋊C4—22no—
573Dic7⋊C4—22no—
574Dic7⋊C4—22no—
575Dic7⋊C4—22no—
576Dic7⋊C4—41no—
577Dic7⋊C4—41no—
578Dic7⋊C4—41no—
579Dic7⋊C4—41no—
580Dic7⋊C4—41no—
581Dic7⋊C4—41no—
582Dic7⋊C4C22×C414yes—
583Dic7⋊C4C22×C414yes—
584Dic7⋊C4C22×C414yes—
585Dic7⋊C4C22×C414yes—
586C4×Dic7—22no—
587C4×Dic7—22no—
588C4×Dic7—22no—
589C4×Dic7—22no—
590C4×Dic7—22no—
591C4×Dic7—22no—
592C4×Dic7—41no—
593C4×Dic7—41no—
594C4×Dic7—41no—
595C4×Dic7—41no—
596C4×Dic7—41no—
597C4×Dic7—41no—
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×Dic7C22×C414yes—
607C4×Dic7C22×C414yes—
608#538—716no—
609C2×#126—71no—
610C2×#126—71no—
611C2×#124—71no—
612C2×#124—71no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×#121—71no—
617C2×#121—71no—
618C2×#121—71no—
619C2×#120—71no—
620C2×#120—71no—
621C2×C4×Q8—71no—
622C2×C4×D4—71no—
623C2×C4×D4—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×D4—71no—
633C2×#117—71no—
634C22×C4⋊C4C2×D711yescharacteristic
635C22×C22⋊C4—71no—
636C22×C22⋊C4—71no—
637C22×C22⋊C4C2×D711yescharacteristic
638C22×C22⋊C4C2×D711yescharacteristic
639C22×C22⋊C4C2×D711yescharacteristic
640C22×C42—71no—
641C22×C42C2×D711yescharacteristic
642#391—71no—
643#391—71no—
644#391—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#390—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#389—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#388C2×D711yescharacteristic
671#388C2×D711yescharacteristic
672#388C2×D711yescharacteristic
673#388C2×D711yescharacteristic
674#388C2×D711yescharacteristic
675#388C2×D711yescharacteristic
676#388C2×D711yescharacteristic
677#388C2×D711yescharacteristic
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#387—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#386—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#385—71no—
714#383—71no—
715#382—71no—
716#381—71no—
717#380—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⋊C4—71no—
727C4×C4⋊C4—71no—
728C4×C4⋊C4—71no—
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⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758#376—71no—
759#376—71no—
760C2×#95—71no—
761C2×#95C2×D711yescharacteristic
762C2×#95C2×D711yescharacteristic
763C43—71no—
764C23×C7—21no—
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×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—28no—
781C23×C7—44no—
782C23×C7—44no—
783C23×C7—82no—
784C23×C7—82no—
785C23×C7—82no—
786C23×C7—82no—
787C23×C7C23×C412yes—
788C23×C7C23×C412yes—
789C23×C7C23×C412yes—
790C23×C7C2×#4112yes—
791C23×C7C2×#4112yes—
792C23×C7C2511yescharacteristic
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7C23×C412yes—
806C22×D7C23×C412yes—
807C2×C4×C7—21no—
808C2×C4×C7—21no—
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—44no—
838C2×C4×C7—44no—
839C2×C4×C7—44no—
840C2×C4×C7—44no—
841C2×C4×C7—82no—
842C2×C4×C7—82no—
843C2×C4×C7C23×C412yes—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7H(5,𝔽2)12yes—
848C2×C4×C7H(5,𝔽2)12yes—
849C22⋊D7—28no—
850C22⋊D7—28no—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
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—82no—
888C2×Dic7—82no—
889C2×Dic7—82no—
890C2×Dic7—82no—
891C2×Dic7C23×C412yes—
892C2×Dic7C23×C412yes—
893C2×Dic7C23×C412yes—
894C2×Dic7C23×C412yes—
895C2×Dic7C23×C412yes—
896C2×Dic7C23×C412yes—
897C2×Dic7C2×#4112yes—
898C2×Dic7C2×#4112yes—
899C2×Dic7C2×#4112yes—
900C2×Dic7C2×#4112yes—
901D28—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—82no—
907C4×D7—82no—
908Dic14—44no—
909C25C22×D711yescharacteristic
910C22×Q8—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C23×C4—71no—
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×C4C22×D711yescharacteristic
929C23×C4C22×D711yescharacteristic
930C23×C4C22×D711yescharacteristic
931C23×C4C22×D711yescharacteristic
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934#126—78no—
935#126—78no—
936#124—78no—
937#124—78no—
938#123—78no—
939#123—78no—
940C22⋊Q8—78no—
941#121—78no—
942#121—78no—
943#121—78no—
944#120—78no—
945#120—78no—
946C4×Q8—282no—
947C4×D4—78no—
948C4×D4—78no—
949C4×D4—144no—
950C4×D4—144no—
951C4×D4—144no—
952C4×D4—144no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958#117—282no—
959C2×C4⋊C4—42no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
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⋊C4C22×D711yescharacteristic
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C22⋊C4—42no—
983C2×C22⋊C4—42no—
984C2×C22⋊C4—71no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
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—144no—
1015C2×C22⋊C4—144no—
1016C2×C22⋊C4C4×D718yescomplemented
1017C2×C22⋊C4C22×D711yescharacteristic
1018C2×C22⋊C4C22×D711yescharacteristic
1019C2×C22⋊C4C22×D711yescharacteristic
1020C2×C22⋊C4C22×D711yescharacteristic
1021C2×C22⋊C4C22×D711yescharacteristic
1022C2×C22⋊C4C22×D711yescharacteristic
1023C2×C22⋊C4C22×D711yescharacteristic
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C42—42no—
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—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—282no—
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057#95—71no—
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#95—71no—
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097C22×C7—22no—
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—22no—
1108C22×C7—22no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—88no—
1118C22×C7C4×#4114yes—
1119C22×C7C24×C411yescharacteristic
1120C22×C7C22×#4111yescharacteristic
1121C22×C7C22×#4111yescharacteristic
1122C22×C7C2×H(5,𝔽2)11yescharacteristic
1123C22×C7C2×H(5,𝔽2)11yescharacteristic
1124C22×C7#58511yescharacteristic
1125C22×C7#58511yescharacteristic
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—22no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166C24—22no—
1167C24—22no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—71no—
1173C24—71no—
1174C24C2×C4×D714yes—
1175C24C23×D711yescharacteristic
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—74no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×D4—74no—
1182C2×D4—74no—
1183C2×D4—74no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—142no—
1189C2×D4—142no—
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—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
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—41no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—74no—
1229C22×C4—74no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
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—281no—
1245C22×C4—281no—
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—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4C2×C4×D714yes—
1263C22×C4C2×C4×D714yes—
1264C22×C4C23×D711yescharacteristic
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
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—74no—
1281C4⋊C4—74no—
1282C4⋊C4—74no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—74no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
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—74no—
1317C22⋊C4—74no—
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—142no—
1329C22⋊C4—142no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4C2×C4×D714yes—
1337C22⋊C4C2×C4×D714yes—
1338C22⋊C4C2×C4×D714yes—
1339C22⋊C4C2×C4×D714yes—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—41no—
1344C42—74no—
1345C42—74no—
1346C42—142no—
1347C42—142no—
1348C42—142no—
1349C42—142no—
1350C42—142no—
1351C42—142no—
1352C42—281no—
1353C42—281no—
1354C42—281no—
1355C42—281no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C2×C7—24no—
1367C2×C7—42no—
1368C2×C7—42no—
1369C2×C7C2×C4×#4111yescharacteristic
1370C2×C7C4×H(5,𝔽2)11yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7#351311yescharacteristic
1373C2×C7#351411yescharacteristic
1374C2×C7#351911yescharacteristic
1375C2×C7#352111yescharacteristic
1376D7—42no—
1377D7—42no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—44no—
1396C23—44no—
1397C23—72no—
1398C23—72no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23C22×C4×D712yes—
1416C23C22×C4×D712yes—
1417C23C22×C4×D712yes—
1418C23D7×#4112yes—
1419C23D7×#4112yes—
1420C23C24×D711yescharacteristic
1421Q8—284no—
1422D4—148no—
1423D4—148no—
1424D4—284no—
1425D4—284no—
1426D4—284no—
1427D4—284no—
1428D4—284no—
1429C2×C4—21no—
1430C2×C4—21no—
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—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—72no—
1464C2×C4—72no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—72no—
1471C2×C4—72no—
1472C2×C4—72no—
1473C2×C4—82no—
1474C2×C4—82no—
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—562no—
1512C2×C4—562no—
1513C2×C4—562no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4C22×C4×D712yes—
1521C2×C4#654812yes—
1522C2×C4#654812yes—
1523C7#3428311yescharacteristic, complemented, Sylow
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—88no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22#9021314yes—
1560C22C23×C4×D711yescharacteristic
1561C22C2×#654811yescharacteristic
1562C22C2×#654811yescharacteristic
1563C22C2×D7×#4111yescharacteristic
1564C22C2×D7×#4111yescharacteristic
1565C22#9061611yescharacteristic
1566C22#9061611yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—142no—
1580C4—142no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—142no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C2—24no—
1594C2—42no—
1595C2—42no—
1596C2—282no—
1597C2—282no—
1598C2C2×#9021311yescharacteristic
1599C2C4×#654811yescharacteristic
1600C2C4×#654811yescharacteristic
1601C2#1174301911yescharacteristic
1602C2#1174308111yescharacteristic
1603C2#1174314511yescharacteristic
1604C2#1174318411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC2×C7×#388C2
socle, cosocleC23×C7C25
prime radicalC2×#90185C2
hypercenterC2×#388D7
hypocenterC7#34283
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
2. C2×C7×#388C2semidirect
3. #11739608C2semidirect
4. #11739607C2semidirect
5. #11739544C2semidirect
6. #11739544C2semidirect
7. #11739544C2semidirect
8. #11739544C2semidirect
9. #11739528C2semidirect
10. #11739510C2semidirect
11. C42×C22⋊D7C2semidirect
12. #11733284C2semidirect
13. #11733282C2semidirect
14. #11733276C2semidirect
15. #11733275C2semidirect
16. #11732932C2semidirect
17. #11732930C2semidirect
18. #11732929C2semidirect
19. #11732928C2semidirect
20. #11732926C2semidirect
21. #11732925C2semidirect
22. #11732916C2semidirect
23. #11732910C2semidirect
24. #11732900C2semidirect
25. #11732899C2semidirect
26. #11732898C2semidirect
27. #11732897C2semidirect
28. #11730812C2semidirect
29. #11730784C2semidirect
30. #11730783C2semidirect
31. #11730767C2semidirect
49. C2×#6456C22semidirect
50. C2×#6450C22semidirect
51. #90185C4semidirect
64. C2×#6435C22semidirect
65. C2×C42×D7C22semidirect
92. #89762C22semidirect
93. #89762C22semidirect
94. #89761C22semidirect
95. #89761C22semidirect
96. #89760C22semidirect
97. #89750C22semidirect
98. #89750C22semidirect
99. C4⋊C4×Dic7C22semidirect
100. C4⋊C4×Dic7C22semidirect
101. #89746C22semidirect
102. #89745C22semidirect
103. #89745C22semidirect
104. #89744C22semidirect
105. #89744C22semidirect
142. #89712C22semidirect
143. #89712C22semidirect
144. C4×(C2×D7)⋊C4C22semidirect
145. C4×(C2×D7)⋊C4C22semidirect
146. C4×(C2×D7)⋊C4C22semidirect
147. C4×(C2×D7)⋊C4C22semidirect
148. #89705C22semidirect
149. #89705C22semidirect
150. #89704C22semidirect
151. C4×Dic7⋊C4C22semidirect
152. C4×Dic7⋊C4C22semidirect
153. C4×Dic7⋊C4C22semidirect
154. C4×Dic7⋊C4C22semidirect
155. C42×Dic7C22semidirect
156. #89441C22semidirect
157. #89441C22semidirect
158. #89441C22semidirect
159. #89441C22semidirect
160. #89439C22semidirect
161. #89438C22semidirect
162. #89438C22semidirect
163. #89438C22semidirect
164. #89438C22semidirect
165. #89438C22semidirect
166. #89437C22semidirect
167. #89437C22semidirect
168. #89436C22semidirect
169. D7×#95C22semidirect
170. #89426C22semidirect
171. #89426C22semidirect
172. #89425C22semidirect
173. #89425C22semidirect
174. #89424C22semidirect
175. #89424C22semidirect
176. #89424C22semidirect
177. #89424C22semidirect
178. #89423C22semidirect
179. #89422C22semidirect
180. #89421C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89420C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
221. C2×C7×C22⋊C4C2×C4semidirect
239. #6516C2×C4semidirect
240. #6516C2×C4semidirect
257. #6493C2×C4semidirect
262. C4×C22⋊D7C2×C4semidirect
263. C4×C22⋊D7C2×C4semidirect
282. #6487C2×C4semidirect
323. #6448C2×C4semidirect
324. #6448C2×C4semidirect
325. #6447C2×C4semidirect
326. #6447C2×C4semidirect
327. #6446C2×C4semidirect
328. #6446C2×C4semidirect
333. #6442C2×C4semidirect
334. #6442C2×C4semidirect
404. C2×#388D7semidirect
1016. C2×C22⋊C4C4×D7semidirect
1523. C7#34283semidirect

Maximal subgroups

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

subgroupindex
C2×#901852
C2×C7×#3882
#117396082
#117396072
#117395442
#117395282
#117395102
C42×C22⋊D72
#117332842
#117332822
#117332762
#117332752
#117329322
#117329302
#117329292
#117329282
#117329262
#117329252
#117329162
#117329102
#117329002
#117328992
#117328982
#117328972
#117308122
#117307842
#117307832
#117307672
#342837