Finite Group Databasebeta

← #13517145

Subgroups — #13517145

Order 1792.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90298C211yesmaximal, characteristic
2C7×#2377C211yesmaximal, characteristic, complemented
3#11740083C211yesmaximal, characteristic, complemented
4#11733877C211yesmaximal, characteristic, complemented
5#11733874C211yesmaximal, characteristic, complemented
6#11733751C211yesmaximal, characteristic, complemented
7#11733743C211yesmaximal, characteristic, complemented
8#11733281C211yesmaximal, characteristic, complemented
9#11733271C211yesmaximal, characteristic, complemented
10#11732928C211yesmaximal, characteristic, complemented
11#11732916C211yesmaximal, characteristic, complemented
12#11732749C211yesmaximal, characteristic, complemented
13#11732748C211yesmaximal, characteristic, complemented
14#11732743C211yesmaximal, characteristic, complemented
15#11732397C211yesmaximal, characteristic, complemented
16#11732328C211yesmaximal, characteristic, complemented
17#11732326C211yesmaximal, characteristic, complemented
18#11732324C211yesmaximal, characteristic, complemented
19#11732319C211yesmaximal, characteristic, complemented
20D7×#386C211yesmaximal, characteristic, complemented
21#11732130C211yesmaximal, characteristic, complemented
22#11732112C211yesmaximal, characteristic, complemented
23#11732104C211yesmaximal, characteristic, complemented
24#11732041C211yesmaximal, characteristic, complemented
25#11731847C211yesmaximal, characteristic, complemented
26#11731836C211yesmaximal, characteristic, complemented
27#11731824C211yesmaximal, characteristic, complemented
28#11731566C211yesmaximal, characteristic, complemented
29#11731503C211yesmaximal, characteristic, complemented
30#11731453C211yesmaximal, characteristic, complemented
31#11731318C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C22×#1157C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic
36C2×#6503C2211yescharacteristic
37C2×#6503C2211yescharacteristic
38C2×#6501C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×D4×Dic7C2211yescharacteristic, complemented
42C2×D4×Dic7C2211yescharacteristic, complemented
43C2×#6493C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic, complemented
45C22×(C2×D7)⋊C4C2211yescharacteristic
46#90298C4116yescomplemented
47C2×#6458C2211yescharacteristic
48C2×#6456C2211yescharacteristic
49C2×#6456C2211yescharacteristic
50C2×#6456C2211yescharacteristic, complemented
51C2×#6455C2211yescharacteristic
52C2×#6448C2211yescharacteristic
53C2×#6448C2211yescharacteristic
54C2×#6445C2211yescharacteristic
55C2×#6445C2211yescharacteristic
56C2×(C22⋊D7)⋊C4C2211yescharacteristic
57C2×(C22⋊D7)⋊C4C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
59C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
61C2×D7×C22⋊C4C2211yescharacteristic
62C2×D7×C22⋊C4C2211yescharacteristic
63C2×D7×C22⋊C4C2211yescharacteristic
64C2×D7×C22⋊C4C2211yescharacteristic
65C2×C4×D28C2211yescharacteristic, complemented
66C7×#390C2211yescharacteristic, complemented
67C7×#390C2211yescharacteristic, complemented
68C7×#388C2211yescharacteristic, complemented
69C7×#388C2211yescharacteristic, complemented
70C7×#387C2211yescharacteristic, complemented
71C7×#387C2211yescharacteristic, complemented
72C7×#386C2211yescharacteristic
73C7×#386C2211yescharacteristic
74C7×#386C2211yescharacteristic, complemented
75C7×#386C2211yescharacteristic, complemented
76C7×#385C2211yescharacteristic, complemented
77C7×#385C2211yescharacteristic, complemented
78C7×#381C2211yescharacteristic, complemented
79C7×#380C2211yescharacteristic, complemented
80#89992C2211yescharacteristic
81#89992C2211yescharacteristic
82#89992C2211yescharacteristic, complemented
83#89992C2211yescharacteristic, complemented
84#89985C2211yescharacteristic
85#89985C2211yescharacteristic
86#89985C2211yescharacteristic, complemented
87#89982C2211yescharacteristic, complemented
88C4×C22⋊Dic7C2211yescharacteristic, complemented
89C4×C22⋊Dic7C2211yescharacteristic, complemented
90C2×C7⋊#95C2211yescharacteristic, complemented
91#89762C2211yescharacteristic, complemented
92#89762C2211yescharacteristic, complemented
93#89762C2211yescharacteristic, complemented
94#89761C2211yescharacteristic
95#89761C2211yescharacteristic
96#89761C2211yescharacteristic, complemented
97#89761C2211yescharacteristic, complemented
98#89761C2211yescharacteristic, complemented
99#89760C2211yescharacteristic, complemented
100#89753C2211yescharacteristic, complemented
101#89753C2211yescharacteristic, complemented
102#89749C2211yescharacteristic, complemented
103C4⋊C4×Dic7C2211yescharacteristic, complemented
104#89746C2211yescharacteristic, complemented
105#89746C2211yescharacteristic, complemented
106#89730C2211yescharacteristic
107#89730C2211yescharacteristic
108#89730C2211yescharacteristic, complemented
109#89730C2211yescharacteristic, complemented
110#89730C2211yescharacteristic, complemented
111#89730C2211yescharacteristic, complemented
112#89730C2211yescharacteristic, complemented
113#89729C2211yescharacteristic, complemented
114#89729C2211yescharacteristic, complemented
115#89729C2211yescharacteristic, complemented
116#89729C2211yescharacteristic, complemented
117#89728C2211yescharacteristic
118#89728C2211yescharacteristic
119#89728C2211yescharacteristic
120#89728C2211yescharacteristic
121#89728C2211yescharacteristic
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic, complemented
124#89728C2211yescharacteristic, complemented
125#89728C2211yescharacteristic, complemented
126#89728C2211yescharacteristic, complemented
127#89728C2211yescharacteristic, complemented
128#89728C2211yescharacteristic, complemented
129#89727C2211yescharacteristic
130#89727C2211yescharacteristic
131#89723C2211yescharacteristic, complemented
132#89723C2211yescharacteristic, complemented
133#89718C2211yescharacteristic, complemented
134#89717C2211yescharacteristic, complemented
135#89717C2211yescharacteristic, complemented
136#89716C2211yescharacteristic, complemented
137#89716C2211yescharacteristic, complemented
138C22⋊C4×Dic7C2211yescharacteristic, complemented
139C22⋊C4×Dic7C2211yescharacteristic, complemented
140C22⋊C4×Dic7C2211yescharacteristic, complemented
141#89712C2211yescharacteristic, complemented
142#89711C2211yescharacteristic, complemented
143C4×(C2×D7)⋊C4C2211yescharacteristic
144C4×(C2×D7)⋊C4C2211yescharacteristic
145C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
146#89704C2211yescharacteristic, complemented
147C4×Dic7⋊C4C2211yescharacteristic, complemented
148#89442C2211yescharacteristic, complemented
149#89441C2211yescharacteristic, complemented
150#89441C2211yescharacteristic, complemented
151#89441C2211yescharacteristic, complemented
152#89440C2211yescharacteristic
153#89440C2211yescharacteristic
154#89440C2211yescharacteristic, complemented
155#89439C2211yescharacteristic, complemented
156#89438C2211yescharacteristic
157#89438C2211yescharacteristic
158#89438C2211yescharacteristic, complemented
159#89438C2211yescharacteristic, complemented
160#89438C2211yescharacteristic, complemented
161#89438C2211yescharacteristic, complemented
162#89437C2211yescharacteristic
163#89437C2211yescharacteristic
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic, complemented
169#89437C2211yescharacteristic, complemented
170#89437C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89436C2211yescharacteristic
173#89436C2211yescharacteristic
174#89436C2211yescharacteristic, complemented
175D7×#95C2211yescharacteristic
176D7×#95C2211yescharacteristic
177D7×#95C2211yescharacteristic, complemented
178#89426C2211yescharacteristic, complemented
179#89426C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89423C2211yescharacteristic, complemented
183#89423C2211yescharacteristic, complemented
184#89422C2211yescharacteristic, complemented
185#89420C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34406—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C2×D4×D7—42no—
210C2×D4×D7—42no—
211C2×D4×D7C2×C418yescomplemented
212C2×#1157—42no—
213C2×#1157—42no—
214C2×#1157C2×C418yescomplemented
215C22×D28C2311yescharacteristic
216C22×D28C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×C4×D7—42no—
220C22×C4×D7—42no—
221C22×C4×D7—42no—
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×C4×D7C2311yescharacteristic
233C22×C4×D7C2311yescharacteristic
234C22×Dic14C2311yescharacteristic
235C7×#121C2×C418yescomplemented
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C4⋊C4C2311yescharacteristic
240C2×C7×C4⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C7×C22⋊C4C2311yescharacteristic
251C2×C7×C22⋊C4C2311yescharacteristic
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C42×C7C2311yescharacteristic
254C2×C42×C7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265#6503C2×C418yescomplemented
266#6503C2×C418yescomplemented
267#6501C2×C418yescomplemented
268#6500C2×C418yescomplemented
269#6500C2×C418yescomplemented
270D4×Dic7—42no—
271D4×Dic7—42no—
272#6493C2×C418yescomplemented
273C4×C22⋊D7—42no—
274C2×(C2×D7)⋊C4—42no—
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
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
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
324#6458C2×C418yescomplemented
325#6456—42no—
326#6456—42no—
327#6456—42no—
328#6455C2×C418yescomplemented
329#6448C2×C418yescomplemented
330#6448C2×C418yescomplemented
331#6445C2×C418yescomplemented
332#6445C2×C418yescomplemented
333(C22⋊D7)⋊C4—42no—
334(C22⋊D7)⋊C4—42no—
335(C22⋊D7)⋊C4—42no—
336(C22⋊D7)⋊C4—42no—
337(C22⋊D7)⋊C4—42no—
338D7×C22⋊C4—42no—
339D7×C22⋊C4—42no—
340D7×C22⋊C4—42no—
341D7×C22⋊C4—42no—
342C4×D28—42no—
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
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C2×#535—71no—
384#2380—71no—
385#2379—71no—
386#2377—71no—
387#2377D711yescharacteristic, complemented
388#2372—71no—
389#2366—71no—
390#2364—71no—
391#2364—71no—
392#2358—71no—
393#2358—71no—
394#2358—71no—
395#2358—71no—
396#2343—71no—
397#2343—71no—
398#2339—71no—
399#2339—71no—
400#2337—71no—
401#2337—71no—
402#2333—71no—
403#2333—71no—
404#2328—71no—
405#2328—71no—
406#2325—71no—
407#2325—71no—
408#2321—71no—
409#2321—71no—
410#2308—71no—
411C4×#120—71no—
412C4×#120—71no—
413C2×#386—71no—
414C24×C7C2411yescharacteristic
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C23×D7—22no—
418C23×D7—22no—
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—41no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7—41no—
428C23×D7—41no—
429C23×D7C22×C414yes—
430C23×D7C22×C414yes—
431C23×D7C2411yescharacteristic
432C23×D7C2411yescharacteristic
433C23×D7C2411yescharacteristic
434C23×D7C2411yescharacteristic
435C2×C7×D4—41no—
436C2×C7×D4—41no—
437C2×C7×D4—41no—
438C2×C7×D4—41no—
439C2×C7×D4—41no—
440C2×C7×D4—41no—
441C2×C7×D4C22×C414yes—
442C2×C7×D4C22×C414yes—
443C2×C7×D4C22×C414yescomplemented
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7—41no—
448C22×C4×C7—41no—
449C22×C4×C7—41no—
450C22×C4×C7—41no—
451C22×C4×C7—41no—
452C22×C4×C7C22×C414yescomplemented
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7C22×C414yes—
482C2×C22⋊D7C22×C414yes—
483C2×C22⋊D7C22×C414yes—
484C2×C22⋊D7C22×C414yes—
485C2×C22⋊D7C22×C414yes—
486C2×C22⋊D7C22×C414yescomplemented
487C2×C22⋊D7C22×C414yescomplemented
488C2×C22⋊D7C22×C414yescomplemented
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—22no—
492C22×Dic7—41no—
493C22×Dic7—41no—
494C22×Dic7—41no—
495C22×Dic7—41no—
496C22×Dic7—41no—
497C22×Dic7—41no—
498C22×Dic7—41no—
499C22×Dic7—41no—
500C22×Dic7—41no—
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513D4×D7—416no—
514#1157—416no—
515C2×D28—22no—
516C2×D28—22no—
517C2×D28—41no—
518C2×D28—41no—
519C2×D28—41no—
520C2×D28—41no—
521C2×D28—41no—
522C2×D28—41no—
523C2×D28C22×C414yes—
524C2×D28C22×C414yes—
525C2×D28C22×C414yes—
526C2×D28C22×C414yescomplemented
527C2×C4×D7—22no—
528C2×C4×D7—22no—
529C2×C4×D7—22no—
530C2×C4×D7—22no—
531C2×C4×D7—22no—
532C2×C4×D7—22no—
533C2×C4×D7—22no—
534C2×C4×D7—22no—
535C2×C4×D7—22no—
536C2×C4×D7—22no—
537C2×C4×D7—22no—
538C2×C4×D7—41no—
539C2×C4×D7—41no—
540C2×C4×D7—41no—
541C2×C4×D7—41no—
542C2×C4×D7—41no—
543C2×C4×D7—41no—
544C2×C4×D7—41no—
545C2×C4×D7—41no—
546C2×C4×D7—416no—
547C2×C4×D7—41no—
548C2×C4×D7—41no—
549C2×C4×D7—41no—
550C2×C4×D7—41no—
551C2×C4×D7—41no—
552C2×C4×D7—41no—
553C2×C4×D7—41no—
554C2×C4×D7—41no—
555C2×C4×D7—41no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×C4×D7—41no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C2×C4×D7—41no—
562C2×C4×D7C22×C414yes—
563C2×C4×D7C22×C414yescomplemented
564C2×Dic14—41no—
565C2×Dic14—41no—
566C2×Dic14C22×C414yescomplemented
567C7×C4⋊C4—41no—
568C7×C4⋊C4—41no—
569C7×C4⋊C4—41no—
570C7×C4⋊C4—41no—
571C7×C4⋊C4C22×C414yescomplemented
572C7×C22⋊C4—41no—
573C7×C22⋊C4—41no—
574C7×C22⋊C4—41no—
575C7×C22⋊C4—41no—
576C7×C22⋊C4—41no—
577C7×C22⋊C4—41no—
578C7×C22⋊C4—41no—
579C7×C22⋊C4—41no—
580C7×C22⋊C4—41no—
581C7×C22⋊C4—41no—
582C7×C22⋊C4C22×C414yes—
583C7×C22⋊C4C22×C414yescomplemented
584C42×C7—41no—
585C42×C7—41no—
586C22⋊Dic7—22no—
587C22⋊Dic7—22no—
588C22⋊Dic7—22no—
589C22⋊Dic7—41no—
590C22⋊Dic7—41no—
591C22⋊Dic7—41no—
592C22⋊Dic7—41no—
593C22⋊Dic7—41no—
594C22⋊Dic7C22×C414yes—
595C22⋊Dic7C22×C414yescomplemented
596(C2×D7)⋊C4—22no—
597(C2×D7)⋊C4—22no—
598(C2×D7)⋊C4—22no—
599(C2×D7)⋊C4—22no—
600(C2×D7)⋊C4—22no—
601(C2×D7)⋊C4—22no—
602(C2×D7)⋊C4—22no—
603(C2×D7)⋊C4—41no—
604(C2×D7)⋊C4—41no—
605(C2×D7)⋊C4—41no—
606(C2×D7)⋊C4—41no—
607(C2×D7)⋊C4—41no—
608(C2×D7)⋊C4—41no—
609(C2×D7)⋊C4—41no—
610(C2×D7)⋊C4—41no—
611(C2×D7)⋊C4—41no—
612(C2×D7)⋊C4—41no—
613(C2×D7)⋊C4—41no—
614(C2×D7)⋊C4—41no—
615(C2×D7)⋊C4—41no—
616(C2×D7)⋊C4—41no—
617(C2×D7)⋊C4—41no—
618(C2×D7)⋊C4C22×C414yes—
619(C2×D7)⋊C4C22×C414yes—
620(C2×D7)⋊C4C22×C414yes—
621(C2×D7)⋊C4C22×C414yes—
622(C2×D7)⋊C4C22×C414yescomplemented
623(C2×D7)⋊C4C22×C414yescomplemented
624C4⋊Dic7—22no—
625C4⋊Dic7—41no—
626C4⋊Dic7C22×C414yescomplemented
627Dic7⋊C4—22no—
628Dic7⋊C4—41no—
629Dic7⋊C4—41no—
630Dic7⋊C4—41no—
631Dic7⋊C4—41no—
632Dic7⋊C4—41no—
633C4×Dic7—22no—
634C4×Dic7—22no—
635C4×Dic7—41no—
636C4×Dic7—41no—
637C4×Dic7—41no—
638C4×Dic7—41no—
639C4×Dic7—41no—
640C4×Dic7—41no—
641C4×Dic7—41no—
642C4×Dic7—41no—
643C4×Dic7C22×C414yescomplemented
644C4×Dic7C22×C414yescomplemented
645C22×#41—71no—
646C23×D4—71no—
647C24×C4—71no—
648#535—716no—
649C2×#127—71no—
650C2×#127—71no—
651C2×#124—71no—
652C2×#124—71no—
653C2×#121—71no—
654C2×#121—71no—
655C2×#121—71no—
656C2×#121C2×D711yescharacteristic
657C2×#120—71no—
658C2×#120—71no—
659C2×#120—71no—
660C2×#120—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C2×C4×D4—71no—
665C2×C4×D4—71no—
666C2×C4×D4—71no—
667C2×C4×D4—71no—
668C2×C4×D4—71no—
669C2×C4×D4—71no—
670C2×C4×D4—71no—
671C2×C4×D4—71no—
672C2×C4×D4—71no—
673C2×#117—71no—
674C22×C22⋊C4—71no—
675C22×C22⋊C4—71no—
676C22×C22⋊C4—71no—
677C22×C22⋊C4—71no—
678C22×C22⋊C4—71no—
679#391—71no—
680#391—71no—
681#391—71no—
682#391—71no—
683#390—71no—
684#390—71no—
685#390—71no—
686#390—71no—
687#390—71no—
688#390—71no—
689#390C2×D711yescharacteristic, complemented
690#390C2×D711yescharacteristic, complemented
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388C2×D711yescharacteristic, complemented
706#388C2×D711yescharacteristic, complemented
707#387—71no—
708#387—71no—
709#387—71no—
710#387—71no—
711#387—71no—
712#387—71no—
713#387C2×D711yescharacteristic, complemented
714#387C2×D711yescharacteristic, complemented
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#386—71no—
723#386—71no—
724#386—71no—
725#386—71no—
726#386—71no—
727#386—71no—
728#386—71no—
729#386—71no—
730#386—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386C2×D711yescharacteristic
752#386C2×D711yescharacteristic
753#386C2×D711yescharacteristic, complemented
754#386C2×D711yescharacteristic, complemented
755#385—71no—
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#385—71no—
765#385C2×D711yescharacteristic, complemented
766#385C2×D711yescharacteristic, complemented
767#383—71no—
768#383—71no—
769#382—71no—
770#382—71no—
771#381—71no—
772#381—71no—
773#381—71no—
774#381C2×D711yescharacteristic, complemented
775#380—71no—
776#380C2×D711yescharacteristic, complemented
777#379—71no—
778#379—71no—
779C4×C4⋊C4—71no—
780C4×C4⋊C4—71no—
781C4×C22⋊C4—71no—
782C4×C22⋊C4—71no—
783C4×C22⋊C4—71no—
784C4×C22⋊C4—71no—
785C4×C22⋊C4—71no—
786C4×C22⋊C4—71no—
787C4×C22⋊C4—71no—
788C4×C22⋊C4—71no—
789C4×C22⋊C4—71no—
790C4×C22⋊C4—71no—
791C4×C22⋊C4—71no—
792C4×C22⋊C4—71no—
793C4×C22⋊C4—71no—
794C4×C22⋊C4—71no—
795#376—71no—
796#376—71no—
797C2×#95—71no—
798C2×#95—71no—
799C2×#95—71no—
800C2×#95—71no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—21no—
818C23×C7—21no—
819C23×C7C23×C412yes—
820C23×C7C23×C412yes—
821C23×C7C23×C412yes—
822C23×C7C2511yescharacteristic
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—21no—
831C22×D7—21no—
832C22×D7—21no—
833C22×D7—21no—
834C22×D7—21no—
835C22×D7—21no—
836C22×D7—21no—
837C22×D7—21no—
838C22×D7—21no—
839C22×D7—21no—
840C22×D7—21no—
841C22×D7—21no—
842C22×D7—21no—
843C22×D7—21no—
844C22×D7—21no—
845C22×D7—28no—
846C22×D7—28no—
847C22×D7—44no—
848C22×D7—44no—
849C22×D7—44no—
850C22×D7—44no—
851C22×D7—44no—
852C22×D7—44no—
853C22×D7—44no—
854C22×D7—44no—
855C22×D7—82no—
856C22×D7—82no—
857C22×D7—82no—
858C22×D7—82no—
859C22×D7C23×C412yes—
860C22×D7C23×C412yes—
861C22×D7C23×C412yes—
862C22×D7C23×C412yes—
863C22×D7H(5,𝔽2)12yes—
864C22×D7H(5,𝔽2)12yes—
865C7×D4—44no—
866C7×D4—44no—
867C7×D4—44no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—21no—
878C2×C4×C7—21no—
879C2×C4×C7—21no—
880C2×C4×C7—21no—
881C2×C4×C7—21no—
882C2×C4×C7—21no—
883C2×C4×C7—21no—
884C2×C4×C7—21no—
885C2×C4×C7—21no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—21no—
892C2×C4×C7—21no—
893C2×C4×C7—21no—
894C2×C4×C7—21no—
895C2×C4×C7—21no—
896C2×C4×C7—21no—
897C2×C4×C7—21no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—44no—
901C2×C4×C7—44no—
902C2×C4×C7—82no—
903C2×C4×C7C23×C412yes—
904C2×C4×C7C23×C412yes—
905C2×C4×C7C23×C412yes—
906C2×C4×C7C23×C412yes—
907C22⋊D7—28no—
908C22⋊D7—44no—
909C22⋊D7—44no—
910C22⋊D7—44no—
911C22⋊D7—44no—
912C22⋊D7—44no—
913C22⋊D7—44no—
914C22⋊D7—44no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—21no—
922C2×Dic7—21no—
923C2×Dic7—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—21no—
928C2×Dic7—21no—
929C2×Dic7—21no—
930C2×Dic7—21no—
931C2×Dic7—21no—
932C2×Dic7—21no—
933C2×Dic7—21no—
934C2×Dic7—21no—
935C2×Dic7—21no—
936C2×Dic7—21no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—21no—
940C2×Dic7—21no—
941C2×Dic7—21no—
942C2×Dic7—21no—
943C2×Dic7—21no—
944C2×Dic7—21no—
945C2×Dic7—44no—
946C2×Dic7—82no—
947C2×Dic7—82no—
948C2×Dic7—82no—
949C2×Dic7C23×C412yes—
950C2×Dic7C23×C412yes—
951C2×Dic7C23×C412yes—
952C2×Dic7C23×C412yes—
953C2×Dic7H(5,𝔽2)12yes—
954C2×Dic7H(5,𝔽2)12yes—
955D28—28no—
956D28—44no—
957D28—44no—
958D28—44no—
959C4×D7—28no—
960C4×D7—44no—
961C4×D7—44no—
962C4×D7—44no—
963C4×D7—44no—
964C4×D7—44no—
965C4×D7—82no—
966C4×D7—82no—
967C4×D7—82no—
968C4×D7—82no—
969C4×D7—82no—
970C4×D7—82no—
971Dic14—44no—
972C25—71no—
973C25—71no—
974C2×#41—78no—
975C2×#41—282no—
976C2×#41—282no—
977C22×Q8—71no—
978C22×D4—71no—
979C22×D4—71no—
980C22×D4—71no—
981C22×D4—71no—
982C22×D4—71no—
983C22×D4—71no—
984C22×D4—71no—
985C22×D4—71no—
986C22×D4—78no—
987C22×D4—71no—
988C22×D4—71no—
989C22×D4—71no—
990C22×D4—71no—
991C22×D4—282no—
992C22×D4—282no—
993C22×D4C22×D711yescharacteristic
994C22×D4C22×D711yescharacteristic
995C22×D4C22×D711yescharacteristic
996C23×C4—71no—
997C23×C4—71no—
998C23×C4—71no—
999C23×C4—71no—
1000C23×C4—71no—
1001C23×C4—71no—
1002C23×C4—71no—
1003C23×C4—71no—
1004C23×C4—71no—
1005C23×C4—71no—
1006C23×C4—71no—
1007C23×C4—71no—
1008C23×C4—71no—
1009C23×C4—71no—
1010C23×C4—71no—
1011C23×C4—71no—
1012C23×C4—282no—
1013C23×C4—282no—
1014C23×C4—282no—
1015C23×C4C22×D711yescharacteristic
1016C23×C4C22×D711yescharacteristic
1017C23×C4C22×D711yescharacteristic
1018#127—78no—
1019#127—78no—
1020#124—78no—
1021#124—78no—
1022#121—78no—
1023#121—78no—
1024#121—78no—
1025#121C4×D718yescomplemented
1026#120—78no—
1027#120—78no—
1028#120—78no—
1029#120—78no—
1030C4×D4—282no—
1031C4×D4—282no—
1032C4×D4—282no—
1033C4×D4—282no—
1034C4×D4—282no—
1035C4×D4—282no—
1036C4×D4—282no—
1037C4×D4—282no—
1038C4×D4—282no—
1039C4×D4—282no—
1040C4×D4—282no—
1041C4×D4—282no—
1042#117—78no—
1043C2×C4⋊C4—71no—
1044C2×C4⋊C4—71no—
1045C2×C4⋊C4—71no—
1046C2×C4⋊C4—71no—
1047C2×C4⋊C4—71no—
1048C2×C4⋊C4—71no—
1049C2×C4⋊C4—71no—
1050C2×C4⋊C4—71no—
1051C2×C4⋊C4—71no—
1052C2×C4⋊C4C22×D711yescharacteristic
1053C2×C4⋊C4C22×D711yescharacteristic
1054C2×C4⋊C4C22×D711yescharacteristic
1055C2×C4⋊C4C22×D711yescharacteristic
1056C2×C4⋊C4C22×D711yescharacteristic
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4—71no—
1080C2×C22⋊C4—71no—
1081C2×C22⋊C4—71no—
1082C2×C22⋊C4—71no—
1083C2×C22⋊C4—71no—
1084C2×C22⋊C4—71no—
1085C2×C22⋊C4—71no—
1086C2×C22⋊C4—71no—
1087C2×C22⋊C4—71no—
1088C2×C22⋊C4—71no—
1089C2×C22⋊C4—71no—
1090C2×C22⋊C4—71no—
1091C2×C22⋊C4—71no—
1092C2×C22⋊C4—71no—
1093C2×C22⋊C4—71no—
1094C2×C22⋊C4—71no—
1095C2×C22⋊C4—282no—
1096C2×C22⋊C4—282no—
1097C2×C22⋊C4—282no—
1098C2×C22⋊C4—282no—
1099C2×C22⋊C4—282no—
1100C2×C22⋊C4C22×D711yescharacteristic
1101C2×C22⋊C4C22×D711yescharacteristic
1102C2×C22⋊C4C22×D711yescharacteristic
1103C2×C22⋊C4C22×D711yescharacteristic
1104C2×C22⋊C4C22×D711yescharacteristic
1105C2×C22⋊C4C22×D711yescharacteristic
1106C2×C22⋊C4C22×D711yescharacteristic
1107C2×C22⋊C4C22×D711yescharacteristic
1108C2×C22⋊C4C22×D711yescharacteristic
1109C2×C22⋊C4C22×D711yescharacteristic
1110C2×C22⋊C4C22×D711yescharacteristic
1111C2×C22⋊C4C22×D711yescharacteristic
1112C2×C42—71no—
1113C2×C42—71no—
1114C2×C42—71no—
1115C2×C42—71no—
1116C2×C42—71no—
1117C2×C42—71no—
1118C2×C42—71no—
1119C2×C42—71no—
1120C2×C42—71no—
1121C2×C42—71no—
1122C2×C42—71no—
1123C2×C42—71no—
1124C2×C42C22×D711yescharacteristic
1125C2×C42C22×D711yescharacteristic
1126#95—71no—
1127#95—71no—
1128#95—71no—
1129#95—71no—
1130#95—71no—
1131#95—71no—
1132#95—71no—
1133#95—71no—
1134#95—71no—
1135#95—71no—
1136#95—71no—
1137#95—71no—
1138#95—71no—
1139#95—71no—
1140#95—71no—
1141#95—71no—
1142#95—71no—
1143#95—71no—
1144#95—71no—
1145#95—71no—
1146#95—71no—
1147#95—71no—
1148#95—71no—
1149#95—71no—
1150#95—71no—
1151#95—71no—
1152#95—71no—
1153#95—71no—
1154#95—71no—
1155#95—71no—
1156#95C22×D711yescharacteristic
1157#95C22×D711yescharacteristic
1158#95C22×D711yescharacteristic
1159#95C22×D711yescharacteristic
1160#95C22×D711yescharacteristic
1161#95C22×D711yescharacteristic
1162#95C22×D711yescharacteristic
1163#95C22×D711yescharacteristic
1164#95C22×D711yescharacteristic
1165#95C22×D711yescharacteristic
1166C22×C7—22no—
1167C22×C7—22no—
1168C22×C7—22no—
1169C22×C7—22no—
1170C22×C7—22no—
1171C22×C7—22no—
1172C22×C7—22no—
1173C22×C7—22no—
1174C22×C7—22no—
1175C22×C7—41no—
1176C22×C7—41no—
1177C22×C7—41no—
1178C22×C7—41no—
1179C22×C7—41no—
1180C22×C7—41no—
1181C22×C7—41no—
1182C22×C7—41no—
1183C22×C7—41no—
1184C22×C7—41no—
1185C22×C7—41no—
1186C22×C7—41no—
1187C22×C7C24×C411yescharacteristic
1188C22×C7C2×H(5,𝔽2)11yescharacteristic
1189C22×C7C2×H(5,𝔽2)11yescharacteristic
1190C22×C7C2×H(5,𝔽2)11yescharacteristic
1191C22×C7C2×H(5,𝔽2)11yescharacteristic
1192C22×C7#58511yescharacteristic
1193C22×C7#58511yescharacteristic
1194C2×D7—22no—
1195C2×D7—22no—
1196C2×D7—22no—
1197C2×D7—22no—
1198C2×D7—22no—
1199C2×D7—22no—
1200C2×D7—22no—
1201C2×D7—22no—
1202C2×D7—22no—
1203C2×D7—22no—
1204C2×D7—22no—
1205C2×D7—22no—
1206C2×D7—22no—
1207C2×D7—22no—
1208C2×D7—22no—
1209C2×D7—416no—
1210C2×D7—41no—
1211C2×D7—41no—
1212C2×D7—41no—
1213C2×D7—41no—
1214C2×D7—41no—
1215C2×D7—41no—
1216C2×D7—41no—
1217C2×D7—41no—
1218C2×D7—41no—
1219C2×D7—41no—
1220C2×D7—41no—
1221C2×D7—41no—
1222C2×D7—88no—
1223C2×D7#51814yes—
1224C4×C7—22no—
1225C4×C7—22no—
1226C4×C7—22no—
1227C4×C7—22no—
1228C4×C7—41no—
1229C4×C7—41no—
1230C4×C7—41no—
1231C4×C7—41no—
1232C4×C7—41no—
1233C4×C7—41no—
1234C4×C7—41no—
1235C4×C7—41no—
1236Dic7—22no—
1237Dic7—22no—
1238Dic7—22no—
1239Dic7—22no—
1240Dic7—22no—
1241Dic7—22no—
1242Dic7—41no—
1243Dic7—41no—
1244Dic7—41no—
1245Dic7—41no—
1246Dic7—41no—
1247Dic7—41no—
1248C24—71no—
1249C24—71no—
1250C24—71no—
1251C24—71no—
1252C24—74no—
1253C24—74no—
1254C24—142no—
1255C24—142no—
1256C24—142no—
1257C24—142no—
1258C24—281no—
1259C24—281no—
1260C24—281no—
1261C24—281no—
1262C24—281no—
1263C24—281no—
1264C24—281no—
1265C24—281no—
1266C24C23×D711yescharacteristic
1267C24C23×D711yescharacteristic
1268C24C23×D711yescharacteristic
1269#41—2816no—
1270C2×Q8—74no—
1271C2×Q8—281no—
1272C2×Q8—281no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—74no—
1280C2×D4—74no—
1281C2×D4—74no—
1282C2×D4—74no—
1283C2×D4—74no—
1284C2×D4—74no—
1285C2×D4—74no—
1286C2×D4—74no—
1287C2×D4—74no—
1288C2×D4—74no—
1289C2×D4—74no—
1290C2×D4—74no—
1291C2×D4—142no—
1292C2×D4—142no—
1293C2×D4—142no—
1294C2×D4—142no—
1295C2×D4—281no—
1296C2×D4—281no—
1297C2×D4—281no—
1298C2×D4—281no—
1299C2×D4—281no—
1300C2×D4—281no—
1301C2×D4—2816no—
1302C2×D4—281no—
1303C2×D4—281no—
1304C2×D4—281no—
1305C2×D4—281no—
1306C2×D4—281no—
1307C2×D4—281no—
1308C2×D4—281no—
1309C2×D4—281no—
1310C2×D4—281no—
1311C2×D4—281no—
1312C2×D4—281no—
1313C2×D4—281no—
1314C2×D4—281no—
1315C2×D4—281no—
1316C2×D4C2×C4×D714yes—
1317C2×D4C2×C4×D714yes—
1318C2×D4C2×C4×D714yescomplemented
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—71no—
1328C22×C4—71no—
1329C22×C4—71no—
1330C22×C4—71no—
1331C22×C4—71no—
1332C22×C4—71no—
1333C22×C4—74no—
1334C22×C4—74no—
1335C22×C4—71no—
1336C22×C4—71no—
1337C22×C4—71no—
1338C22×C4—71no—
1339C22×C4—71no—
1340C22×C4—71no—
1341C22×C4—142no—
1342C22×C4—142no—
1343C22×C4—142no—
1344C22×C4—142no—
1345C22×C4—142no—
1346C22×C4—142no—
1347C22×C4—142no—
1348C22×C4—142no—
1349C22×C4—142no—
1350C22×C4—142no—
1351C22×C4—142no—
1352C22×C4—142no—
1353C22×C4—142no—
1354C22×C4—142no—
1355C22×C4—281no—
1356C22×C4—281no—
1357C22×C4—281no—
1358C22×C4—281no—
1359C22×C4—281no—
1360C22×C4—281no—
1361C22×C4—281no—
1362C22×C4—281no—
1363C22×C4—281no—
1364C22×C4—281no—
1365C22×C4—281no—
1366C22×C4—281no—
1367C22×C4—281no—
1368C22×C4—281no—
1369C22×C4—281no—
1370C22×C4—281no—
1371C22×C4—281no—
1372C22×C4—281no—
1373C22×C4—281no—
1374C22×C4—281no—
1375C22×C4—281no—
1376C22×C4—281no—
1377C22×C4—281no—
1378C22×C4—2816no—
1379C22×C4—281no—
1380C22×C4—281no—
1381C22×C4—281no—
1382C22×C4—281no—
1383C22×C4—281no—
1384C22×C4—281no—
1385C22×C4—281no—
1386C22×C4—281no—
1387C22×C4—281no—
1388C22×C4C2×C4×D714yescomplemented
1389C22×C4C23×D711yescharacteristic
1390C22×C4C23×D711yescharacteristic
1391C22×C4C23×D711yescharacteristic
1392C22×C4C23×D711yescharacteristic
1393C22×C4C23×D711yescharacteristic
1394C22×C4C23×D711yescharacteristic
1395C22×C4C23×D711yescharacteristic
1396C22×C4C23×D711yescharacteristic
1397C22×C4C23×D711yescharacteristic
1398C22×C4C23×D711yescharacteristic
1399C22×C4C23×D711yescharacteristic
1400C22×C4C23×D711yescharacteristic
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—74no—
1406C4⋊C4—142no—
1407C4⋊C4—142no—
1408C4⋊C4—281no—
1409C4⋊C4—281no—
1410C4⋊C4—281no—
1411C4⋊C4—281no—
1412C4⋊C4—281no—
1413C4⋊C4—281no—
1414C4⋊C4C2×C4×D714yescomplemented
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—74no—
1426C22⋊C4—74no—
1427C22⋊C4—74no—
1428C22⋊C4—74no—
1429C22⋊C4—74no—
1430C22⋊C4—74no—
1431C22⋊C4—74no—
1432C22⋊C4—74no—
1433C22⋊C4—142no—
1434C22⋊C4—142no—
1435C22⋊C4—142no—
1436C22⋊C4—142no—
1437C22⋊C4—142no—
1438C22⋊C4—142no—
1439C22⋊C4—142no—
1440C22⋊C4—142no—
1441C22⋊C4—142no—
1442C22⋊C4—142no—
1443C22⋊C4—281no—
1444C22⋊C4—281no—
1445C22⋊C4—281no—
1446C22⋊C4—281no—
1447C22⋊C4—281no—
1448C22⋊C4—281no—
1449C22⋊C4—281no—
1450C22⋊C4—281no—
1451C22⋊C4—281no—
1452C22⋊C4—281no—
1453C22⋊C4—281no—
1454C22⋊C4—281no—
1455C22⋊C4—281no—
1456C22⋊C4—281no—
1457C22⋊C4—281no—
1458C22⋊C4—281no—
1459C22⋊C4—281no—
1460C22⋊C4—281no—
1461C22⋊C4—281no—
1462C22⋊C4—281no—
1463C22⋊C4C2×C4×D714yes—
1464C22⋊C4C2×C4×D714yescomplemented
1465C42—41no—
1466C42—41no—
1467C42—74no—
1468C42—74no—
1469C42—142no—
1470C42—142no—
1471C42—281no—
1472C42—281no—
1473C42—281no—
1474C42—281no—
1475C42—281no—
1476C42—281no—
1477C42—281no—
1478C42—281no—
1479C2×C7—42no—
1480C2×C7—42no—
1481C2×C7—42no—
1482C2×C7C2×#51811yescharacteristic
1483C2×C7C4×H(5,𝔽2)11yescharacteristic
1484C2×C7C4×H(5,𝔽2)11yescharacteristic
1485C2×C7#353211yescharacteristic
1486C2×C7#353311yescharacteristic
1487C2×C7#354211yescharacteristic
1488C2×C7#354211yescharacteristic
1489D7—24no—
1490D7—42no—
1491D7—42no—
1492D7—42no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—72no—
1512C23—72no—
1513C23—72no—
1514C23—72no—
1515C23—72no—
1516C23—72no—
1517C23—148no—
1518C23—148no—
1519C23—141no—
1520C23—141no—
1521C23—141no—
1522C23—141no—
1523C23—141no—
1524C23—141no—
1525C23—141no—
1526C23—141no—
1527C23—141no—
1528C23—141no—
1529C23—141no—
1530C23—141no—
1531C23—141no—
1532C23—141no—
1533C23—141no—
1534C23—141no—
1535C23—141no—
1536C23—141no—
1537C23—141no—
1538C23—141no—
1539C23—141no—
1540C23—141no—
1541C23—284no—
1542C23—284no—
1543C23—284no—
1544C23—284no—
1545C23—284no—
1546C23—284no—
1547C23—284no—
1548C23—284no—
1549C23—562no—
1550C23—562no—
1551C23—562no—
1552C23—562no—
1553C23C22×C4×D712yes—
1554C23C22×C4×D712yes—
1555C23C22×C4×D712yes—
1556C23C24×D711yescharacteristic
1557Q8—284no—
1558D4—44no—
1559D4—44no—
1560D4—44no—
1561D4—148no—
1562D4—148no—
1563D4—284no—
1564D4—284no—
1565D4—284no—
1566D4—284no—
1567D4—284no—
1568D4—284no—
1569D4—284no—
1570D4—284no—
1571D4—284no—
1572D4—284no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—72no—
1608C2×C4—72no—
1609C2×C4—72no—
1610C2×C4—72no—
1611C2×C4—72no—
1612C2×C4—72no—
1613C2×C4—82no—
1614C2×C4—148no—
1615C2×C4—141no—
1616C2×C4—141no—
1617C2×C4—141no—
1618C2×C4—141no—
1619C2×C4—141no—
1620C2×C4—141no—
1621C2×C4—141no—
1622C2×C4—141no—
1623C2×C4—141no—
1624C2×C4—141no—
1625C2×C4—141no—
1626C2×C4—141no—
1627C2×C4—141no—
1628C2×C4—141no—
1629C2×C4—141no—
1630C2×C4—141no—
1631C2×C4—141no—
1632C2×C4—141no—
1633C2×C4—141no—
1634C2×C4—141no—
1635C2×C4—141no—
1636C2×C4—141no—
1637C2×C4—141no—
1638C2×C4—141no—
1639C2×C4—141no—
1640C2×C4—141no—
1641C2×C4—141no—
1642C2×C4—141no—
1643C2×C4—141no—
1644C2×C4—141no—
1645C2×C4—284no—
1646C2×C4—284no—
1647C2×C4—284no—
1648C2×C4—284no—
1649C2×C4—284no—
1650C2×C4—284no—
1651C2×C4—562no—
1652C2×C4—562no—
1653C2×C4—562no—
1654C2×C4—562no—
1655C2×C4—562no—
1656C2×C4—562no—
1657C2×C4—562no—
1658C2×C4—562no—
1659C2×C4—562no—
1660C2×C4C22×C4×D712yes—
1661C2×C4C22×C4×D712yes—
1662C2×C4C22×C4×D712yes—
1663C2×C4C22×C4×D712yes—
1664C7#3440611yescharacteristic, complemented, Sylow
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—74no—
1687C22—142no—
1688C22—142no—
1689C22—142no—
1690C22—142no—
1691C22—142no—
1692C22—142no—
1693C22—142no—
1694C22—142no—
1695C22—142no—
1696C22—142no—
1697C22—142no—
1698C22—142no—
1699C22—142no—
1700C22—142no—
1701C22—142no—
1702C22—2816no—
1703C22—281no—
1704C22—281no—
1705C22—281no—
1706C22—281no—
1707C22—281no—
1708C22—281no—
1709C22—281no—
1710C22—281no—
1711C22—281no—
1712C22—281no—
1713C22—281no—
1714C22—281no—
1715C22—568no—
1716C22C23×C4×D711yescharacteristic
1717C22D7×H(5,𝔽2)11yescharacteristic
1718C22D7×H(5,𝔽2)11yescharacteristic
1719C22D7×H(5,𝔽2)11yescharacteristic
1720C22D7×H(5,𝔽2)11yescharacteristic
1721C22#9061811yescharacteristic
1722C22#9062011yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—142no—
1736C4—142no—
1737C4—142no—
1738C4—142no—
1739C4—142no—
1740C4—142no—
1741C4—281no—
1742C4—281no—
1743C4—281no—
1744C4—281no—
1745C4—281no—
1746C4—281no—
1747C2—42no—
1748C2—42no—
1749C2—42no—
1750C2—144no—
1751C2—282no—
1752C2—282no—
1753C2—282no—
1754C2#1174292511yescharacteristic
1755C2D7×#51811yescharacteristic
1756C2#1174295411yescharacteristic
1757C2#1174414211yescharacteristic
1758C2#1174414811yescharacteristic
1759C2#1174416511yescharacteristic
1760C2#1174417611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2377C2
socle, cosocleC23×C7C25
prime radicalC2×#90298C2
hypercenter#2377D7
hypocenterC7#34406
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. C7×#2377C2semidirect
3. #11740083C2semidirect
4. #11733877C2semidirect
5. #11733874C2semidirect
6. #11733751C2semidirect
7. #11733743C2semidirect
8. #11733281C2semidirect
9. #11733271C2semidirect
10. #11732928C2semidirect
11. #11732916C2semidirect
12. #11732749C2semidirect
13. #11732748C2semidirect
14. #11732743C2semidirect
15. #11732397C2semidirect
16. #11732328C2semidirect
17. #11732326C2semidirect
18. #11732324C2semidirect
19. #11732319C2semidirect
20. D7×#386C2semidirect
21. #11732130C2semidirect
22. #11732112C2semidirect
23. #11732104C2semidirect
24. #11732041C2semidirect
25. #11731847C2semidirect
26. #11731836C2semidirect
27. #11731824C2semidirect
28. #11731566C2semidirect
29. #11731503C2semidirect
30. #11731453C2semidirect
31. #11731318C2semidirect
41. C2×D4×Dic7C22semidirect
42. C2×D4×Dic7C22semidirect
44. C2×C4×C22⋊D7C22semidirect
46. #90298C4semidirect
50. C2×#6456C22semidirect
58. C2×(C22⋊D7)⋊C4C22semidirect
59. C2×(C22⋊D7)⋊C4C22semidirect
60. C2×(C22⋊D7)⋊C4C22semidirect
65. C2×C4×D28C22semidirect
66. C7×#390C22semidirect
67. C7×#390C22semidirect
68. C7×#388C22semidirect
69. C7×#388C22semidirect
70. C7×#387C22semidirect
71. C7×#387C22semidirect
74. C7×#386C22semidirect
75. C7×#386C22semidirect
76. C7×#385C22semidirect
77. C7×#385C22semidirect
78. C7×#381C22semidirect
79. C7×#380C22semidirect
82. #89992C22semidirect
83. #89992C22semidirect
86. #89985C22semidirect
87. #89982C22semidirect
88. C4×C22⋊Dic7C22semidirect
89. C4×C22⋊Dic7C22semidirect
90. C2×C7⋊#95C22semidirect
91. #89762C22semidirect
92. #89762C22semidirect
93. #89762C22semidirect
96. #89761C22semidirect
97. #89761C22semidirect
98. #89761C22semidirect
99. #89760C22semidirect
100. #89753C22semidirect
101. #89753C22semidirect
102. #89749C22semidirect
103. C4⋊C4×Dic7C22semidirect
104. #89746C22semidirect
105. #89746C22semidirect
108. #89730C22semidirect
109. #89730C22semidirect
110. #89730C22semidirect
111. #89730C22semidirect
112. #89730C22semidirect
113. #89729C22semidirect
114. #89729C22semidirect
115. #89729C22semidirect
116. #89729C22semidirect
123. #89728C22semidirect
124. #89728C22semidirect
125. #89728C22semidirect
126. #89728C22semidirect
127. #89728C22semidirect
128. #89728C22semidirect
131. #89723C22semidirect
132. #89723C22semidirect
133. #89718C22semidirect
134. #89717C22semidirect
135. #89717C22semidirect
136. #89716C22semidirect
137. #89716C22semidirect
138. C22⋊C4×Dic7C22semidirect
139. C22⋊C4×Dic7C22semidirect
140. C22⋊C4×Dic7C22semidirect
141. #89712C22semidirect
142. #89711C22semidirect
145. C4×(C2×D7)⋊C4C22semidirect
146. #89704C22semidirect
147. C4×Dic7⋊C4C22semidirect
148. #89442C22semidirect
149. #89441C22semidirect
150. #89441C22semidirect
151. #89441C22semidirect
154. #89440C22semidirect
155. #89439C22semidirect
158. #89438C22semidirect
159. #89438C22semidirect
160. #89438C22semidirect
161. #89438C22semidirect
168. #89437C22semidirect
169. #89437C22semidirect
170. #89437C22semidirect
171. #89437C22semidirect
174. #89436C22semidirect
177. D7×#95C22semidirect
178. #89426C22semidirect
179. #89426C22semidirect
180. #89425C22semidirect
181. #89425C22semidirect
182. #89423C22semidirect
183. #89423C22semidirect
184. #89422C22semidirect
185. #89420C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
211. C2×D4×D7C2×C4semidirect
214. C2×#1157C2×C4semidirect
235. C7×#121C2×C4semidirect
265. #6503C2×C4semidirect
266. #6503C2×C4semidirect
267. #6501C2×C4semidirect
268. #6500C2×C4semidirect
269. #6500C2×C4semidirect
272. #6493C2×C4semidirect
324. #6458C2×C4semidirect
328. #6455C2×C4semidirect
329. #6448C2×C4semidirect
330. #6448C2×C4semidirect
331. #6445C2×C4semidirect
332. #6445C2×C4semidirect
387. #2377D7semidirect
443. C2×C7×D4C22×C4semidirect
452. C22×C4×C7C22×C4semidirect
486. C2×C22⋊D7C22×C4semidirect
487. C2×C22⋊D7C22×C4semidirect
488. C2×C22⋊D7C22×C4semidirect
526. C2×D28C22×C4semidirect
563. C2×C4×D7C22×C4semidirect
566. C2×Dic14C22×C4semidirect
571. C7×C4⋊C4C22×C4semidirect
583. C7×C22⋊C4C22×C4semidirect
595. C22⋊Dic7C22×C4semidirect
622. (C2×D7)⋊C4C22×C4semidirect
623. (C2×D7)⋊C4C22×C4semidirect
626. C4⋊Dic7C22×C4semidirect
643. C4×Dic7C22×C4semidirect
644. C4×Dic7C22×C4semidirect
689. #390C2×D7semidirect
690. #390C2×D7semidirect
705. #388C2×D7semidirect
706. #388C2×D7semidirect
713. #387C2×D7semidirect
714. #387C2×D7semidirect
753. #386C2×D7semidirect
754. #386C2×D7semidirect
765. #385C2×D7semidirect
766. #385C2×D7semidirect
774. #381C2×D7semidirect
776. #380C2×D7semidirect
1025. #121C4×D7semidirect
1318. C2×D4C2×C4×D7semidirect
1388. C22×C4C2×C4×D7semidirect
1414. C4⋊C4C2×C4×D7semidirect
1464. C22⋊C4C2×C4×D7semidirect
1664. C7#34406semidirect

Maximal subgroups

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

subgroupindex
C2×#902982
C7×#23772
#117400832
#117338772
#117338742
#117337512
#117337432
#117332812
#117332712
#117329282
#117329162
#117327492
#117327482
#117327432
#117323972
#117323282
#117323262
#117323242
#117323192
D7×#3862
#117321302
#117321122
#117321042
#117320412
#117318472
#117318362
#117318242
#117315662
#117315032
#117314532
#117313182
#344067