Finite Group Databasebeta

← #13515095

Subgroups — #13515095

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×#90348C211yesmaximal, characteristic
2C7×#2359C211yesmaximal, characteristic, complemented
3#11740284C211yesmaximal, characteristic, complemented
4C4×#6500C211yesmaximal, characteristic, complemented
5#11739786C211yesmaximal, characteristic, complemented
6#11739713C211yesmaximal, characteristic, complemented
7#11739689C211yesmaximal, characteristic, complemented
8#11733649C211yesmaximal, characteristic, complemented
9#11733410C211yesmaximal, characteristic, complemented
10#11733272C211yesmaximal, characteristic, complemented
11#11733270C211yesmaximal, characteristic, complemented
12#11732930C211yesmaximal, characteristic, complemented
13#11732926C211yesmaximal, characteristic, complemented
14#11732745C211yesmaximal, characteristic, complemented
15#11732420C211yesmaximal, characteristic, complemented
16#11732418C211yesmaximal, characteristic, complemented
17#11732382C211yesmaximal, characteristic, complemented
18#11732326C211yesmaximal, characteristic, complemented
19#11732321C211yesmaximal, characteristic, complemented
20#11732039C211yesmaximal, characteristic, complemented
21#11731845C211yesmaximal, characteristic, complemented
22#11731843C211yesmaximal, characteristic, complemented
23#11731824C211yesmaximal, characteristic, complemented
24#11731196C211yesmaximal, characteristic, complemented
25#11731110C211yesmaximal, characteristic, complemented
26C4×#6447C211yesmaximal, characteristic, complemented
27C4×D7×C22⋊C4C211yesmaximal, characteristic, complemented
28#11730920C211yesmaximal, characteristic, complemented
29#11730920C211yesmaximal, characteristic, complemented
30#11730783C211yesmaximal, characteristic, complemented
31#11730767C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×C7×#117C2211yescharacteristic, complemented
36C2×#6501C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6493C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic, complemented
44#90348C4116yescomplemented
45C2×#6461C2211yescharacteristic
46C2×#6460C2211yescharacteristic
47C2×#6457C2211yescharacteristic
48C2×#6456C2211yescharacteristic
49C2×#6456C2211yescharacteristic
50C2×#6456C2211yescharacteristic
51C2×#6455C2211yescharacteristic, complemented
52C2×#6450C2211yescharacteristic, complemented
53C2×#6448C2211yescharacteristic
54C2×#6448C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6445C2211yescharacteristic
57C2×(C22⋊D7)⋊C4C2211yescharacteristic
58C2×D7×C22⋊C4C2211yescharacteristic
59C2×D7×C22⋊C4C2211yescharacteristic
60C2×#6442C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic
62C2×C42×D7C2211yescharacteristic
63C2×C42×D7C2211yescharacteristic
64C7×#389C2211yescharacteristic, complemented
65C7×#388C2211yescharacteristic
66C7×#388C2211yescharacteristic
67C7×#387C2211yescharacteristic, complemented
68C7×#387C2211yescharacteristic, complemented
69C7×#386C2211yescharacteristic
70C7×#385C2211yescharacteristic
71C7×#385C2211yescharacteristic, complemented
72C4×C7×C4⋊C4C2211yescharacteristic, complemented
73C4×C7×C22⋊C4C2211yescharacteristic
74C4×C7×C22⋊C4C2211yescharacteristic, complemented
75C2×C7×#95C2211yescharacteristic, complemented
76#89993C2211yescharacteristic
77#89992C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic
80#89985C2211yescharacteristic, complemented
81C4×C22⋊Dic7C2211yescharacteristic
82C4×C22⋊Dic7C2211yescharacteristic
83C4×C22⋊Dic7C2211yescharacteristic, complemented
84C4×C22⋊Dic7C2211yescharacteristic, complemented
85C4×C22⋊Dic7C2211yescharacteristic, complemented
86C4×C22⋊Dic7C2211yescharacteristic, complemented
87#89762C2211yescharacteristic
88#89761C2211yescharacteristic
89#89761C2211yescharacteristic
90#89761C2211yescharacteristic
91#89761C2211yescharacteristic
92#89761C2211yescharacteristic
93#89761C2211yescharacteristic, complemented
94#89760C2211yescharacteristic
95#89759C2211yescharacteristic
96#89753C2211yescharacteristic, complemented
97#89753C2211yescharacteristic, complemented
98#89750C2211yescharacteristic, complemented
99#89750C2211yescharacteristic, complemented
100#89750C2211yescharacteristic, complemented
101C4⋊C4×Dic7C2211yescharacteristic, complemented
102C4⋊C4×Dic7C2211yescharacteristic, complemented
103C4⋊C4×Dic7C2211yescharacteristic, complemented
104C4⋊C4×Dic7C2211yescharacteristic, complemented
105C4⋊C4×Dic7C2211yescharacteristic, complemented
106#89745C2211yescharacteristic, complemented
107#89729C2211yescharacteristic
108#89729C2211yescharacteristic
109#89729C2211yescharacteristic, complemented
110#89728C2211yescharacteristic
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic
114#89728C2211yescharacteristic, complemented
115#89727C2211yescharacteristic
116#89727C2211yescharacteristic
117#89723C2211yescharacteristic
118#89723C2211yescharacteristic
119#89723C2211yescharacteristic, complemented
120#89723C2211yescharacteristic, complemented
121#89718C2211yescharacteristic
122#89717C2211yescharacteristic
123#89716C2211yescharacteristic
124#89716C2211yescharacteristic
125#89716C2211yescharacteristic
126#89716C2211yescharacteristic, complemented
127#89716C2211yescharacteristic, complemented
128C22⋊C4×Dic7C2211yescharacteristic
129C22⋊C4×Dic7C2211yescharacteristic
130C22⋊C4×Dic7C2211yescharacteristic
131#89712C2211yescharacteristic
132#89712C2211yescharacteristic
133#89712C2211yescharacteristic, complemented
134C4×(C2×D7)⋊C4C2211yescharacteristic
135C4×(C2×D7)⋊C4C2211yescharacteristic
136C4×(C2×D7)⋊C4C2211yescharacteristic
137C4×(C2×D7)⋊C4C2211yescharacteristic
138C4×(C2×D7)⋊C4C2211yescharacteristic
139C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
140C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
142#89704C2211yescharacteristic, complemented
143#89704C2211yescharacteristic, complemented
144C4×Dic7⋊C4C2211yescharacteristic, complemented
145C4×Dic7⋊C4C2211yescharacteristic, complemented
146#89701C2211yescharacteristic, complemented
147#89700C2211yescharacteristic, complemented
148#89442C2211yescharacteristic
149#89442C2211yescharacteristic
150#89442C2211yescharacteristic
151#89442C2211yescharacteristic, complemented
152#89441C2211yescharacteristic
153#89441C2211yescharacteristic
154#89441C2211yescharacteristic, complemented
155#89441C2211yescharacteristic, complemented
156#89440C2211yescharacteristic
157#89439C2211yescharacteristic
158#89438C2211yescharacteristic
159#89438C2211yescharacteristic
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic, complemented
166#89438C2211yescharacteristic, complemented
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171D7×#95C2211yescharacteristic
172D7×#95C2211yescharacteristic
173D7×#95C2211yescharacteristic, complemented
174#89426C2211yescharacteristic, complemented
175#89426C2211yescharacteristic, complemented
176#89426C2211yescharacteristic, complemented
177#89425C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89421C2211yescharacteristic, complemented
180#89421C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89420C2211yescharacteristic, complemented
184#89420C2211yescharacteristic, 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
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×C4×D7—24no—
203C22×C4×D7—42no—
204C22×C4×D7—42no—
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C7×#123C2×C418yescomplemented
218C4×C7×D4—42no—
219C7×#117—42no—
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊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×C7×C22⋊C4C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250#6501C2×C418yescomplemented
251#6500C2×C418yescomplemented
252#6493C2×C418yescomplemented
253C4×C22⋊D7—24no—
254C4×C22⋊D7—24no—
255C4×C22⋊D7—42no—
256C4×C22⋊D7—42no—
257C4×C22⋊D7C2×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×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
298C2×C4×Dic7C2311yescharacteristic
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
318#6461C2×C418yescomplemented
319#6460C2×C418yescomplemented
320#6457C2×C418yescomplemented
321#6456—24no—
322#6456—42no—
323#6456C2×C418yescomplemented
324#6455—42no—
325#6450—42no—
326#6448C2×C418yescomplemented
327#6448C2×C418yescomplemented
328#6447C2×C418yescomplemented
329#6445C2×C418yescomplemented
330(C22⋊D7)⋊C4—42no—
331D7×C22⋊C4—24no—
332D7×C22⋊C4C2×C418yescomplemented
333#6442C2×C418yescomplemented
334C4×D28—24no—
335C42×D7—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#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#2359D711yescharacteristic, complemented
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#2275—71no—
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—41no—
421C2×C7×D4—41no—
422C2×C7×D4C22×C414yes—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
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×C7C22×C414yescomplemented
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
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
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7C22×C414yes—
457C2×C22⋊D7C22×C414yes—
458C2×C22⋊D7C22×C414yes—
459C2×C22⋊D7C22×C414yescomplemented
460C22×Dic7—22no—
461C22×Dic7—22no—
462C22×Dic7—41no—
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28C22×C414yes—
481C2×D28C22×C414yes—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—416no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
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×D7C22×C414yes—
512C2×C4×D7C22×C414yes—
513C2×C4×D7C22×C414yescomplemented
514C2×C4×D7#4114yes—
515C2×C4×D7#4114yes—
516C2×Dic14—41no—
517C2×Dic14—41no—
518C2×Dic14C22×C414yescomplemented
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—22no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4C22×C414yescomplemented
525C7×C4⋊C4C22×C414yescomplemented
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4C22×C414yes—
532C7×C22⋊C4C22×C414yes—
533C7×C22⋊C4C22×C414yescomplemented
534C42×C7—22no—
535C42×C7—22no—
536C42×C7—41no—
537C42×C7—41no—
538C42×C7—41no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7C22×C414yes—
547C22⋊Dic7C22×C414yes—
548C22⋊Dic7C22×C414yescomplemented
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
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—22no—
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)⋊C4—41no—
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—41no—
575C4⋊Dic7—41no—
576C4⋊Dic7C22×C414yescomplemented
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⋊C4C22×C414yescomplemented
587Dic7⋊C4C22×C414yescomplemented
588C4×Dic7—22no—
589C4×Dic7—22no—
590C4×Dic7—22no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
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×Dic7—41no—
607C4×Dic7C22×C414yescomplemented
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×#123C2×D711yescharacteristic
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×D4—71no—
633C2×C4×D4—71no—
634C2×C4×D4C2×D711yescharacteristic
635C2×#117—71no—
636C2×#117C2×D711yescharacteristic, complemented
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#389C2×D711yescharacteristic, complemented
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#388C2×D711yescharacteristic
676#388C2×D711yescharacteristic
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#387C2×D711yescharacteristic, complemented
688#387C2×D711yescharacteristic, complemented
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#386C2×D711yescharacteristic
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#385C2×D711yescharacteristic
712#385C2×D711yescharacteristic, complemented
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⋊C4—71no—
727C4×C4⋊C4—71no—
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⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4C2×D711yescharacteristic
756C4×C22⋊C4C2×D711yescharacteristic, complemented
757#376—71no—
758#376—71no—
759#376—71no—
760#376—71no—
761C2×#95—71no—
762C2×#95—71no—
763C2×#95—71no—
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×C7—21no—
776C23×C7—21no—
777C23×C7C23×C412yes—
778C23×C7C23×C412yes—
779C23×C7C2511yescharacteristic
780C22×D7—21no—
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—28no—
797C22×D7—44no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7C23×C412yes—
804C22×D7C23×C412yes—
805C22×D7C23×C412yes—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C7×D4—44no—
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—21no—
840C2×C4×C7—44no—
841C2×C4×C7—44no—
842C2×C4×C7—82no—
843C2×C4×C7—82no—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C23×C412yes—
848C2×C4×C7C23×C412yes—
849C2×C4×C7C2×#4112yes—
850C2×C4×C7C2×#4112yes—
851C2×C4×C7H(5,𝔽2)12yes—
852C22⋊D7—28no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C22⋊D7—44no—
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—44no—
888C2×Dic7C23×C412yes—
889C2×Dic7C23×C412yes—
890C2×Dic7C23×C412yes—
891C2×Dic7C23×C412yes—
892C2×Dic7C23×C412yes—
893C2×Dic7C2×#4112yes—
894C2×Dic7C2×#4112yes—
895C2×Dic7H(5,𝔽2)12yes—
896D28—28no—
897D28—44no—
898C4×D7—28no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—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—71no—
930C23×C4—71no—
931C23×C4—144no—
932C23×C4—282no—
933C23×C4—282no—
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#123C4×D718yescomplemented
944C22⋊Q8—78no—
945#121—78no—
946#121—78no—
947#121—78no—
948#120—78no—
949#120—78no—
950C4×Q8—282no—
951C4×D4—42no—
952C4×D4—78no—
953C4×D4—78no—
954C4×D4—144no—
955C4×D4—144no—
956C4×D4—144no—
957C4×D4—144no—
958C4×D4—282no—
959C4×D4—282no—
960C4×D4—282no—
961C4×D4—282no—
962#117—42no—
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⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
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—78no—
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—144no—
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×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—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—282no—
1052C2×C42—282no—
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—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
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—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—416no—
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×D7C4×#4114yes—
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—41no—
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—22no—
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—41no—
1183C2×D4—41no—
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—142no—
1193C2×D4—142no—
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—22no—
1206C22×C4—22no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—71no—
1215C22×C4—71no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—74no—
1223C22×C4—74no—
1224C22×C4—74no—
1225C22×C4—74no—
1226C22×C4—74no—
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—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×C4—2816no—
1263C22×C4—281no—
1264C22×C4C2×C4×D714yescomplemented
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—22no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—74no—
1286C4⋊C4—74no—
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—
1298C4⋊C4C2×C4×D714yescomplemented
1299C4⋊C4C2×C4×D714yescomplemented
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
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—142no—
1329C22⋊C4—142no—
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⋊C4C2×C4×D714yes—
1340C22⋊C4C2×C4×D714yes—
1341C22⋊C4C2×C4×D714yescomplemented
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—74no—
1348C42—74no—
1349C42—142no—
1350C42—142no—
1351C42—142no—
1352C42—142no—
1353C42—142no—
1354C42—142no—
1355C42—281no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
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—24no—
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—21no—
1391C23—21no—
1392C23—72no—
1393C23—72no—
1394C23—72no—
1395C23—72no—
1396C23—72no—
1397C23—148no—
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—141no—
1413C23—141no—
1414C23—284no—
1415C23—284no—
1416C23—284no—
1417C23—284no—
1418C23—284no—
1419C23—284no—
1420C23C22×C4×D712yes—
1421C23C22×C4×D712yes—
1422C23C24×D711yescharacteristic
1423Q8—284no—
1424D4—44no—
1425D4—148no—
1426D4—148no—
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—21no—
1462C2×C4—44no—
1463C2×C4—44no—
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—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—284no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—284no—
1514C2×C4—284no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4C22×C4×D712yes—
1521C2×C4C22×C4×D712yes—
1522C2×C4#654812yes—
1523C2×C4D7×#4112yes—
1524C2×C4D7×#4112yes—
1525C7#3427711yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—74no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—2816no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22C23×C4×D711yescharacteristic
1563C22C2×#654811yescharacteristic
1564C22C2×D7×#4111yescharacteristic
1565C22C2×D7×#4111yescharacteristic
1566C22#9061611yescharacteristic
1567C22D7×H(5,𝔽2)11yescharacteristic
1568C22#9062011yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—142no—
1589C4—142no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C2—42no—
1596C2—42no—
1597C2—144no—
1598C2—282no—
1599C2—282no—
1600C2C4×#654811yescharacteristic
1601C2C4×D7×#4111yescharacteristic
1602C2#1174295411yescharacteristic
1603C2#1174373211yescharacteristic
1604C2#1174377111yescharacteristic
1605C2#1174388511yescharacteristic
1606C2#1174392911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2359C2
socle, cosocleC23×C7C25
prime radicalC2×#90348C2
hypercenter#2359D7
hypocenterC7#34277
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. C7×#2359C2semidirect
3. #11740284C2semidirect
4. C4×#6500C2semidirect
5. #11739786C2semidirect
6. #11739713C2semidirect
7. #11739689C2semidirect
8. #11733649C2semidirect
9. #11733410C2semidirect
10. #11733272C2semidirect
11. #11733270C2semidirect
12. #11732930C2semidirect
13. #11732926C2semidirect
14. #11732745C2semidirect
15. #11732420C2semidirect
16. #11732418C2semidirect
17. #11732382C2semidirect
18. #11732326C2semidirect
19. #11732321C2semidirect
20. #11732039C2semidirect
21. #11731845C2semidirect
22. #11731843C2semidirect
23. #11731824C2semidirect
24. #11731196C2semidirect
25. #11731110C2semidirect
26. C4×#6447C2semidirect
27. C4×D7×C22⋊C4C2semidirect
28. #11730920C2semidirect
29. #11730920C2semidirect
30. #11730783C2semidirect
31. #11730767C2semidirect
35. C2×C7×#117C22semidirect
43. C2×C4×C22⋊D7C22semidirect
44. #90348C4semidirect
51. C2×#6455C22semidirect
52. C2×#6450C22semidirect
64. C7×#389C22semidirect
67. C7×#387C22semidirect
68. C7×#387C22semidirect
71. C7×#385C22semidirect
72. C4×C7×C4⋊C4C22semidirect
74. C4×C7×C22⋊C4C22semidirect
75. C2×C7×#95C22semidirect
80. #89985C22semidirect
83. C4×C22⋊Dic7C22semidirect
84. C4×C22⋊Dic7C22semidirect
85. C4×C22⋊Dic7C22semidirect
86. C4×C22⋊Dic7C22semidirect
93. #89761C22semidirect
96. #89753C22semidirect
97. #89753C22semidirect
98. #89750C22semidirect
99. #89750C22semidirect
100. #89750C22semidirect
101. C4⋊C4×Dic7C22semidirect
102. C4⋊C4×Dic7C22semidirect
103. C4⋊C4×Dic7C22semidirect
104. C4⋊C4×Dic7C22semidirect
105. C4⋊C4×Dic7C22semidirect
106. #89745C22semidirect
109. #89729C22semidirect
114. #89728C22semidirect
119. #89723C22semidirect
120. #89723C22semidirect
126. #89716C22semidirect
127. #89716C22semidirect
133. #89712C22semidirect
139. C4×(C2×D7)⋊C4C22semidirect
140. C4×(C2×D7)⋊C4C22semidirect
141. C4×(C2×D7)⋊C4C22semidirect
142. #89704C22semidirect
143. #89704C22semidirect
144. C4×Dic7⋊C4C22semidirect
145. C4×Dic7⋊C4C22semidirect
146. #89701C22semidirect
147. #89700C22semidirect
151. #89442C22semidirect
154. #89441C22semidirect
155. #89441C22semidirect
165. #89438C22semidirect
166. #89438C22semidirect
173. D7×#95C22semidirect
174. #89426C22semidirect
175. #89426C22semidirect
176. #89426C22semidirect
177. #89425C22semidirect
178. #89424C22semidirect
179. #89421C22semidirect
180. #89421C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89420C22semidirect
184. #89420C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
217. C7×#123C2×C4semidirect
250. #6501C2×C4semidirect
251. #6500C2×C4semidirect
252. #6493C2×C4semidirect
257. C4×C22⋊D7C2×C4semidirect
318. #6461C2×C4semidirect
319. #6460C2×C4semidirect
320. #6457C2×C4semidirect
323. #6456C2×C4semidirect
326. #6448C2×C4semidirect
327. #6448C2×C4semidirect
328. #6447C2×C4semidirect
329. #6445C2×C4semidirect
332. D7×C22⋊C4C2×C4semidirect
333. #6442C2×C4semidirect
393. #2359D7semidirect
434. C22×C4×C7C22×C4semidirect
459. C2×C22⋊D7C22×C4semidirect
513. C2×C4×D7C22×C4semidirect
518. C2×Dic14C22×C4semidirect
524. C7×C4⋊C4C22×C4semidirect
525. C7×C4⋊C4C22×C4semidirect
533. C7×C22⋊C4C22×C4semidirect
548. C22⋊Dic7C22×C4semidirect
571. (C2×D7)⋊C4C22×C4semidirect
572. (C2×D7)⋊C4C22×C4semidirect
576. C4⋊Dic7C22×C4semidirect
577. C4⋊Dic7C22×C4semidirect
586. Dic7⋊C4C22×C4semidirect
587. Dic7⋊C4C22×C4semidirect
607. C4×Dic7C22×C4semidirect
608. C4×Dic7C22×C4semidirect
636. C2×#117C2×D7semidirect
652. #389C2×D7semidirect
687. #387C2×D7semidirect
688. #387C2×D7semidirect
712. #385C2×D7semidirect
728. C4×C4⋊C4C2×D7semidirect
756. C4×C22⋊C4C2×D7semidirect
764. C2×#95C2×D7semidirect
943. #123C4×D7semidirect
1264. C22×C4C2×C4×D7semidirect
1298. C4⋊C4C2×C4×D7semidirect
1299. C4⋊C4C2×C4×D7semidirect
1341. C22⋊C4C2×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×#903482
C7×#23592
#117402842
C4×#65002
#117397862
#117397132
#117396892
#117336492
#117334102
#117332722
#117332702
#117329302
#117329262
#117327452
#117324202
#117324182
#117323822
#117323262
#117323212
#117320392
#117318452
#117318432
#117318242
#117311962
#117311102
C4×#64472
C4×D7×C22⋊C42
#117309202
#117307832
#117307672
#342777