Finite Group Databasebeta

← #13517339

Subgroups — #13517339

Order 1792.

2522 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×#90395C211yesmaximal, characteristic
2C7×#2373C211yesmaximal, characteristic, complemented
3#11740521C211yesmaximal, characteristic, complemented
4#11733648C211yesmaximal, characteristic, complemented
5#11733422C211yesmaximal, characteristic, complemented
6#11733286C211yesmaximal, characteristic, complemented
7#11733272C211yesmaximal, characteristic, complemented
8#11733271C211yesmaximal, characteristic, complemented
9#11733270C211yesmaximal, characteristic, complemented
10#11732938C211yesmaximal, characteristic, complemented
11#11732935C211yesmaximal, characteristic, complemented
12#11732754C211yesmaximal, characteristic, complemented
13#11732750C211yesmaximal, characteristic, complemented
14#11732743C211yesmaximal, characteristic, complemented
15#11732742C211yesmaximal, characteristic, complemented
16#11732410C211yesmaximal, characteristic, complemented
17#11732400C211yesmaximal, characteristic, complemented
18D7×#385C211yesmaximal, characteristic, complemented
19#11731842C211yesmaximal, characteristic, complemented
20#11731220C211yesmaximal, characteristic, complemented
21#11731219C211yesmaximal, characteristic, complemented
22C4⋊C4×D28C211yesmaximal, characteristic, complemented
23#11731208C211yesmaximal, characteristic, complemented
24#11731077C211yesmaximal, characteristic, complemented
25#11731074C211yesmaximal, characteristic, complemented
26#11731023C211yesmaximal, characteristic, complemented
27C4×#6445C211yesmaximal, characteristic, complemented
28C4×#6445C211yesmaximal, characteristic, complemented
29#11730917C211yesmaximal, characteristic, complemented
30#11730862C211yesmaximal, characteristic, complemented
31#11730832C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#126C2211yescharacteristic
34C2×C4×C22⋊D7C2211yescharacteristic
35C2×C4×C22⋊D7C2211yescharacteristic
36#90395C4116yescomplemented
37C2×#6461C2211yescharacteristic
38C2×#6459C2211yescharacteristic
39C2×#6458C2211yescharacteristic
40C2×#6458C2211yescharacteristic
41C2×#6457C2211yescharacteristic
42C2×#6456C2211yescharacteristic
43C2×#6456C2211yescharacteristic
44C2×#6456C2211yescharacteristic, complemented
45C2×D7×C4⋊C4C2211yescharacteristic
46C2×D7×C4⋊C4C2211yescharacteristic
47C2×D7×C4⋊C4C2211yescharacteristic, complemented
48C2×#6448C2211yescharacteristic
49C2×#6447C2211yescharacteristic
50C2×#6446C2211yescharacteristic
51C2×#6445C2211yescharacteristic
52C2×#6445C2211yescharacteristic
53C2×D7×C22⋊C4C2211yescharacteristic
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×#6438C2211yescharacteristic
56C2×C4×D28C2211yescharacteristic
57C2×C4×D28C2211yescharacteristic
58C2×C4×D28C2211yescharacteristic
59C2×C4×D28C2211yescharacteristic
60C2×C4×D28C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic
62C2×#6435C2211yescharacteristic, complemented
63C2×C4×Dic14C2211yescharacteristic, complemented
64C7×#389C2211yescharacteristic, complemented
65C7×#388C2211yescharacteristic
66C7×#388C2211yescharacteristic
67C7×#388C2211yescharacteristic
68C7×#387C2211yescharacteristic, complemented
69C7×#387C2211yescharacteristic, complemented
70C7×#387C2211yescharacteristic, complemented
71C7×#385C2211yescharacteristic
72C4×C7×C4⋊C4C2211yescharacteristic, complemented
73C4×C7×C4⋊C4C2211yescharacteristic, complemented
74C4×C7×C4⋊C4C2211yescharacteristic, complemented
75C4×C7×C22⋊C4C2211yescharacteristic
76C4×C7×C22⋊C4C2211yescharacteristic
77C7×#376C2211yescharacteristic, complemented
78#89982C2211yescharacteristic
79#89762C2211yescharacteristic
80#89762C2211yescharacteristic
81#89762C2211yescharacteristic, complemented
82#89762C2211yescharacteristic, complemented
83#89761C2211yescharacteristic
84#89761C2211yescharacteristic
85#89761C2211yescharacteristic
86#89761C2211yescharacteristic, complemented
87#89760C2211yescharacteristic
88#89759C2211yescharacteristic
89#89759C2211yescharacteristic, complemented
90#89759C2211yescharacteristic, complemented
91#89757C2211yescharacteristic, complemented
92#89757C2211yescharacteristic, complemented
93#89757C2211yescharacteristic, complemented
94#89753C2211yescharacteristic, complemented
95#89753C2211yescharacteristic, complemented
96#89753C2211yescharacteristic, complemented
97#89750C2211yescharacteristic, complemented
98#89749C2211yescharacteristic, complemented
99#89744C2211yescharacteristic, complemented
100#89730C2211yescharacteristic
101#89730C2211yescharacteristic
102#89729C2211yescharacteristic
103#89729C2211yescharacteristic
104#89728C2211yescharacteristic
105#89728C2211yescharacteristic
106#89727C2211yescharacteristic
107#89727C2211yescharacteristic
108#89723C2211yescharacteristic
109#89723C2211yescharacteristic
110#89723C2211yescharacteristic
111#89722C2211yescharacteristic
112#89722C2211yescharacteristic
113#89722C2211yescharacteristic
114#89718C2211yescharacteristic
115#89717C2211yescharacteristic
116#89716C2211yescharacteristic
117#89712C2211yescharacteristic
118#89712C2211yescharacteristic
119#89712C2211yescharacteristic, complemented
120#89712C2211yescharacteristic, complemented
121#89712C2211yescharacteristic, complemented
122#89712C2211yescharacteristic, complemented
123#89711C2211yescharacteristic
124#89711C2211yescharacteristic, complemented
125C4×(C2×D7)⋊C4C2211yescharacteristic
126C4×(C2×D7)⋊C4C2211yescharacteristic
127C4×(C2×D7)⋊C4C2211yescharacteristic
128C4×(C2×D7)⋊C4C2211yescharacteristic
129C4×(C2×D7)⋊C4C2211yescharacteristic
130C4×(C2×D7)⋊C4C2211yescharacteristic
131C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
132#89709C2211yescharacteristic, complemented
133#89707C2211yescharacteristic, complemented
134#89705C2211yescharacteristic, complemented
135#89705C2211yescharacteristic, complemented
136C4×Dic7⋊C4C2211yescharacteristic, complemented
137#89701C2211yescharacteristic, complemented
138#89700C2211yescharacteristic, complemented
139#89700C2211yescharacteristic, complemented
140#89442C2211yescharacteristic
141#89442C2211yescharacteristic
142#89442C2211yescharacteristic, complemented
143#89442C2211yescharacteristic, complemented
144#89441C2211yescharacteristic
145#89441C2211yescharacteristic
146#89440C2211yescharacteristic
147#89440C2211yescharacteristic
148#89440C2211yescharacteristic
149#89440C2211yescharacteristic
150#89440C2211yescharacteristic
151#89440C2211yescharacteristic
152#89440C2211yescharacteristic
153#89440C2211yescharacteristic, complemented
154#89440C2211yescharacteristic, complemented
155#89440C2211yescharacteristic, complemented
156#89440C2211yescharacteristic, complemented
157#89440C2211yescharacteristic, complemented
158#89439C2211yescharacteristic
159#89439C2211yescharacteristic, complemented
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic, complemented
163#89438C2211yescharacteristic, complemented
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89436C2211yescharacteristic, complemented
175D7×#95C2211yescharacteristic
176D7×#95C2211yescharacteristic
177D7×#95C2211yescharacteristic, complemented
178#89427C2211yescharacteristic, complemented
179#89426C2211yescharacteristic, complemented
180#89426C2211yescharacteristic, complemented
181#89422C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34416—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C23×Dic7C2311yescharacteristic
194C22×D28C2311yescharacteristic
195C22×D28C2311yescharacteristic
196C22×D28C2311yescharacteristic
197C22×D28C2311yescharacteristic
198C22×D28C2311yescharacteristic
199C22×C4×D7—42no—
200C22×C4×D7—42no—
201C22×C4×D7—42no—
202C22×C4×D7C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
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×#126C2×C418yescomplemented
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
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
244C4×C22⋊D7—42no—
245C4×C22⋊D7—42no—
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
279C2×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
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
310#6461C2×C418yescomplemented
311#6459C2×C418yescomplemented
312#6458C2×C418yescomplemented
313#6458C2×C418yescomplemented
314#6457C2×C418yescomplemented
315#6456—42no—
316#6456—42no—
317#6456C2×C418yescomplemented
318D7×C4⋊C4—42no—
319D7×C4⋊C4—42no—
320D7×C4⋊C4—42no—
321#6448C2×C418yescomplemented
322#6447C2×C418yescomplemented
323#6446C2×C418yescomplemented
324#6445C2×C418yescomplemented
325#6445C2×C418yescomplemented
326D7×C22⋊C4—42no—
327D7×C22⋊C4C2×C418yescomplemented
328#6438C2×C418yescomplemented
329C4×D28—42no—
330C4×D28—42no—
331C4×D28—42no—
332C4×D28—42no—
333C4×D28—42no—
334C4×D28C2×C418yescomplemented
335#6435—42no—
336C4×Dic14—42no—
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7×#95C2311yescharacteristic
347C7×#95C2311yescharacteristic
348C7×#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C2×#538—71no—
378#2383—71no—
379#2379—71no—
380#2377—71no—
381#2376—71no—
382#2373D711yescharacteristic, complemented
383#2368—71no—
384#2367—71no—
385#2364—71no—
386#2361—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2353—71no—
391#2352—71no—
392#2349—71no—
393D4×C4⋊C4—71no—
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2334—71no—
398#2326—71no—
399#2325—71no—
400#2324—71no—
401#2322—71no—
402#2321—71no—
403#2321—71no—
404#2312—71no—
405C4×#120—71no—
406C4×#120—71no—
407C2×#385—71no—
408C24×C7C2411yescharacteristic
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7C22×C414yes—
416C23×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C22×C4×C7—22no—
421C22×C4×C7—22no—
422C22×C4×C7—41no—
423C22×C4×C7C2411yescharacteristic
424C22×C4×C7C2411yescharacteristic
425C22×C4×C7C2411yescharacteristic
426C22×C4×C7C2411yescharacteristic
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C2×C22⋊D7—41no—
438C2×C22⋊D7—41no—
439C2×C22⋊D7—41no—
440C2×C22⋊D7—41no—
441C2×C22⋊D7C22×C414yes—
442C2×C22⋊D7C22×C414yes—
443C22×Dic7—41no—
444C22×Dic7—41no—
445C22×Dic7—41no—
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C2×D28—22no—
459C2×D28—22no—
460C2×D28—22no—
461C2×D28—22no—
462C2×D28—41no—
463C2×D28—41no—
464C2×D28—41no—
465C2×D28—41no—
466C2×D28—41no—
467C2×D28—41no—
468C2×D28C22×C414yes—
469C2×D28C22×C414yes—
470C2×D28C22×C414yes—
471C2×D28C22×C414yes—
472C2×D28C22×C414yescomplemented
473C2×C4×D7—22no—
474C2×C4×D7—22no—
475C2×C4×D7—22no—
476C2×C4×D7—22no—
477C2×C4×D7—22no—
478C2×C4×D7—22no—
479C2×C4×D7—22no—
480C2×C4×D7—22no—
481C2×C4×D7—22no—
482C2×C4×D7—22no—
483C2×C4×D7—41no—
484C2×C4×D7—41no—
485C2×C4×D7—41no—
486C2×C4×D7—41no—
487C2×C4×D7—41no—
488C2×C4×D7—41no—
489C2×C4×D7—41no—
490C2×C4×D7—41no—
491C2×C4×D7—41no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—416no—
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×D7—41no—
512C2×C4×D7C22×C414yes—
513C2×C4×D7C22×C414yes—
514C2×C4×D7C22×C414yescomplemented
515C2×C4×D7C22×C414yescomplemented
516C2×Dic14—41no—
517C2×Dic14—41no—
518C2×Dic14C22×C414yescomplemented
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4C22×C414yescomplemented
525C7×C4⋊C4C22×C414yescomplemented
526C7×C4⋊C4C22×C414yescomplemented
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4C22×C414yes—
531C7×C22⋊C4C22×C414yes—
532C7×C22⋊C4C22×C414yes—
533C42×C7—22no—
534C42×C7—22no—
535C42×C7—41no—
536C42×C7—41no—
537C42×C7—41no—
538C42×C7—41no—
539C42×C7—41no—
540C42×C7C22×C414yescomplemented
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7C22×C414yes—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—41no—
552(C2×D7)⋊C4—41no—
553(C2×D7)⋊C4—41no—
554(C2×D7)⋊C4—41no—
555(C2×D7)⋊C4—41no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4C22×C414yes—
568(C2×D7)⋊C4C22×C414yes—
569(C2×D7)⋊C4C22×C414yes—
570(C2×D7)⋊C4C22×C414yes—
571(C2×D7)⋊C4C22×C414yes—
572(C2×D7)⋊C4C22×C414yes—
573(C2×D7)⋊C4C22×C414yescomplemented
574(C2×D7)⋊C4C22×C414yescomplemented
575(C2×D7)⋊C4C22×C414yescomplemented
576(C2×D7)⋊C4C22×C414yescomplemented
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585C4⋊Dic7—41no—
586C4⋊Dic7C22×C414yescomplemented
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4C22×C414yescomplemented
598Dic7⋊C4C22×C414yescomplemented
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7—41no—
608C4×Dic7C22×C414yescomplemented
609C24×C4—71no—
610#538—716no—
611C2×#126—71no—
612C2×#126C2×D711yescharacteristic
613C2×#124—71no—
614C2×#124—71no—
615C2×#123—71no—
616C2×#123—71no—
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#121—71no—
621C2×#120—71no—
622C2×#120—71no—
623C2×C4×Q8—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4—71no—
632C2×C4×D4—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×#117—71no—
636C22×C4⋊C4—71no—
637C22×C4⋊C4—71no—
638C22×C4⋊C4—71no—
639C22×C22⋊C4—71no—
640C22×C22⋊C4—71no—
641#391—71no—
642#391—71no—
643#391—71no—
644#390—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#389—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#389—71no—
654#389—71no—
655#389—71no—
656#389C2×D711yescharacteristic, complemented
657#388—71no—
658#388—71no—
659#388—71no—
660#388—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388—71no—
676#388—71no—
677#388—71no—
678#388C2×D711yescharacteristic
679#388C2×D711yescharacteristic
680#388C2×D711yescharacteristic
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#387C2×D711yescharacteristic, complemented
691#387C2×D711yescharacteristic, complemented
692#387C2×D711yescharacteristic, complemented
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#386—71no—
705#386—71no—
706#386—71no—
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385—71no—
713#385—71no—
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385C2×D711yescharacteristic
729#384—71no—
730#383—71no—
731#382—71no—
732#382—71no—
733#381—71no—
734#380—71no—
735#380—71no—
736#380—71no—
737#380—71no—
738#380—71no—
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4C2×D711yescharacteristic, complemented
746C4×C4⋊C4C2×D711yescharacteristic, complemented
747C4×C4⋊C4C2×D711yescharacteristic, complemented
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—
758C4×C22⋊C4—71no—
759C4×C22⋊C4C2×D711yescharacteristic
760C4×C22⋊C4C2×D711yescharacteristic
761#376C2×D711yescharacteristic, complemented
762C2×#95—71no—
763C2×#95—71no—
764C2×#95—71no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7C23×C412yes—
772C23×C7C2511yescharacteristic
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
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—28no—
796C22×D7—44no—
797C22×D7—44no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7C23×C412yes—
803C22×D7C23×C412yes—
804C22×D7C23×C412yes—
805C22×D7C23×C412yes—
806C22×D7H(5,𝔽2)12yes—
807C22×D72−1+412yes—
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—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—44no—
843C2×C4×C7C23×C412yes—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C23×C412yes—
848C2×C4×C7C23×C412yes—
849C2×C4×C7H(5,𝔽2)12yes—
850C2×C4×C7H(5,𝔽2)12yes—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C2×Dic7—21no—
854C2×Dic7—21no—
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—44no—
886C2×Dic7C23×C412yes—
887C2×Dic7C23×C412yes—
888C2×Dic7C23×C412yes—
889C2×Dic7C23×C412yes—
890D28—28no—
891D28—28no—
892D28—44no—
893D28—44no—
894D28—44no—
895C4×D7—44no—
896C4×D7—44no—
897C4×D7—44no—
898C4×D7—44no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—82no—
904C4×D7—82no—
905C4×D7—82no—
906C4×D7—82no—
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×D4—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×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—282no—
935C23×C4—282no—
936C23×C4—282no—
937C23×C4C22×D711yescharacteristic
938#126—78no—
939#126C4×D718yescomplemented
940#124—78no—
941#124—78no—
942#123—78no—
943#123—78no—
944C22⋊Q8—78no—
945#121—78no—
946#121—78no—
947#121—78no—
948#120—78no—
949#120—78no—
950C4×Q8—282no—
951C4×D4—78no—
952C4×D4—78no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C4×D4—282no—
960C4×D4—282no—
961C4×D4—282no—
962#117—282no—
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⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—282no—
986C2×C4⋊C4—282no—
987C2×C4⋊C4—282no—
988C2×C4⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
990C2×C4⋊C4C22×D711yescharacteristic
991C2×C4⋊C4C22×D711yescharacteristic
992C2×C4⋊C4C22×D711yescharacteristic
993C2×C4⋊C4C22×D711yescharacteristic
994C2×C4⋊C4C22×D711yescharacteristic
995C2×C4⋊C4C22×D711yescharacteristic
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—78no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—282no—
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
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×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052C2×C42C22×D711yescharacteristic
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057C2×C42C22×D711yescharacteristic
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
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—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7C24×C411yescharacteristic
1106C22×C7C2×H(5,𝔽2)11yescharacteristic
1107C22×C7C2×H(5,𝔽2)11yescharacteristic
1108C22×C7C2×H(5,𝔽2)11yescharacteristic
1109C22×C7C2×2−1+411yescharacteristic
1110C22×C7#58511yescharacteristic
1111C22×C7#58511yescharacteristic
1112C2×D7—22no—
1113C2×D7—22no—
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—22no—
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—416no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7#52014yes—
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—
1154C4×C7—41no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167C24—71no—
1168C24—71no—
1169C24—71no—
1170C24—71no—
1171C24—74no—
1172C24—142no—
1173C24—142no—
1174C24—281no—
1175C24—281no—
1176C24—281no—
1177C24—281no—
1178C24C23×D711yescharacteristic
1179C2×Q8—74no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×D4—74no—
1183C2×D4—74no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—281no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4—281no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—41no—
1206C22×C4—71no—
1207C22×C4—71no—
1208C22×C4—71no—
1209C22×C4—71no—
1210C22×C4—74no—
1211C22×C4—74no—
1212C22×C4—74no—
1213C22×C4—74no—
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—142no—
1223C22×C4—142no—
1224C22×C4—142no—
1225C22×C4—142no—
1226C22×C4—142no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—281no—
1233C22×C4—281no—
1234C22×C4—281no—
1235C22×C4—281no—
1236C22×C4—281no—
1237C22×C4—281no—
1238C22×C4—281no—
1239C22×C4—281no—
1240C22×C4—281no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
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—2816no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
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
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—74no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4C2×C4×D714yescomplemented
1306C4⋊C4C2×C4×D714yescomplemented
1307C4⋊C4C2×C4×D714yescomplemented
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—74no—
1312C22⋊C4—74no—
1313C22⋊C4—74no—
1314C22⋊C4—74no—
1315C22⋊C4—74no—
1316C22⋊C4—74no—
1317C22⋊C4—74no—
1318C22⋊C4—74no—
1319C22⋊C4—74no—
1320C22⋊C4—74no—
1321C22⋊C4—74no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—281no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4C2×C4×D714yes—
1348C22⋊C4C2×C4×D714yes—
1349C22⋊C4C2×C4×D714yes—
1350C42—22no—
1351C42—22no—
1352C42—41no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—74no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42C2×C4×D714yescomplemented
1368C2×C7—42no—
1369C2×C7C2×#52011yescharacteristic
1370C2×C7C4×H(5,𝔽2)11yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7#353211yescharacteristic
1373C2×C7#353311yescharacteristic
1374C2×C7#354111yescharacteristic
1375C2×C7#354111yescharacteristic
1376D7—24no—
1377D7—42no—
1378D7—42no—
1379D7—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—72no—
1387C23—72no—
1388C23—72no—
1389C23—72no—
1390C23—72no—
1391C23—72no—
1392C23—148no—
1393C23—141no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—284no—
1416C23—284no—
1417C23—284no—
1418C23—284no—
1419C23—284no—
1420C23—284no—
1421C23C22×C4×D712yes—
1422C23C24×D711yescharacteristic
1423Q8—284no—
1424D4—148no—
1425D4—148no—
1426D4—284no—
1427D4—284no—
1428D4—284no—
1429D4—284no—
1430D4—284no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
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—284no—
1503C2×C4—284no—
1504C2×C4—284no—
1505C2×C4—284no—
1506C2×C4—284no—
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×C4C22×C4×D712yes—
1522C2×C4C22×C4×D712yes—
1523C2×C4#655312yes—
1524C2×C4#655312yes—
1525C7#3441611yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—74no—
1534C22—142no—
1535C22—142no—
1536C22—142no—
1537C22—142no—
1538C22—142no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—2816no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22C23×C4×D711yescharacteristic
1563C22C2×#655311yescharacteristic
1564C22C2×#655311yescharacteristic
1565C22#9061611yescharacteristic
1566C22#9061611yescharacteristic
1567C22D7×H(5,𝔽2)11yescharacteristic
1568C22D7×2−1+411yescharacteristic
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—41no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—281no—
1588C4—281no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C2—42no—
1596C2—144no—
1597C2—282no—
1598C2—282no—
1599C2—282no—
1600C2C4×#655311yescharacteristic
1601C2C4×#655311yescharacteristic
1602C2D7×#52011yescharacteristic
1603C2#1174388611yescharacteristic
1604C2#1174391311yescharacteristic
1605C2#1174398211yescharacteristic
1606C2#1174406211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2373C2
socle, cosocleC23×C7C25
prime radicalC2×#90395C2
hypercenter#2373D7
hypocenterC7#34416
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. C7×#2373C2semidirect
3. #11740521C2semidirect
4. #11733648C2semidirect
5. #11733422C2semidirect
6. #11733286C2semidirect
7. #11733272C2semidirect
8. #11733271C2semidirect
9. #11733270C2semidirect
10. #11732938C2semidirect
11. #11732935C2semidirect
12. #11732754C2semidirect
13. #11732750C2semidirect
14. #11732743C2semidirect
15. #11732742C2semidirect
16. #11732410C2semidirect
17. #11732400C2semidirect
18. D7×#385C2semidirect
19. #11731842C2semidirect
20. #11731220C2semidirect
21. #11731219C2semidirect
22. C4⋊C4×D28C2semidirect
23. #11731208C2semidirect
24. #11731077C2semidirect
25. #11731074C2semidirect
26. #11731023C2semidirect
27. C4×#6445C2semidirect
28. C4×#6445C2semidirect
29. #11730917C2semidirect
30. #11730862C2semidirect
31. #11730832C2semidirect
36. #90395C4semidirect
44. C2×#6456C22semidirect
47. C2×D7×C4⋊C4C22semidirect
62. C2×#6435C22semidirect
63. C2×C4×Dic14C22semidirect
64. C7×#389C22semidirect
68. C7×#387C22semidirect
69. C7×#387C22semidirect
70. C7×#387C22semidirect
72. C4×C7×C4⋊C4C22semidirect
73. C4×C7×C4⋊C4C22semidirect
74. C4×C7×C4⋊C4C22semidirect
77. C7×#376C22semidirect
81. #89762C22semidirect
82. #89762C22semidirect
86. #89761C22semidirect
89. #89759C22semidirect
90. #89759C22semidirect
91. #89757C22semidirect
92. #89757C22semidirect
93. #89757C22semidirect
94. #89753C22semidirect
95. #89753C22semidirect
96. #89753C22semidirect
97. #89750C22semidirect
98. #89749C22semidirect
99. #89744C22semidirect
119. #89712C22semidirect
120. #89712C22semidirect
121. #89712C22semidirect
122. #89712C22semidirect
124. #89711C22semidirect
131. C4×(C2×D7)⋊C4C22semidirect
132. #89709C22semidirect
133. #89707C22semidirect
134. #89705C22semidirect
135. #89705C22semidirect
136. C4×Dic7⋊C4C22semidirect
137. #89701C22semidirect
138. #89700C22semidirect
139. #89700C22semidirect
142. #89442C22semidirect
143. #89442C22semidirect
153. #89440C22semidirect
154. #89440C22semidirect
155. #89440C22semidirect
156. #89440C22semidirect
157. #89440C22semidirect
159. #89439C22semidirect
162. #89438C22semidirect
163. #89438C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89436C22semidirect
177. D7×#95C22semidirect
178. #89427C22semidirect
179. #89426C22semidirect
180. #89426C22semidirect
181. #89422C22semidirect
182. #89421C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
217. C7×#126C2×C4semidirect
310. #6461C2×C4semidirect
311. #6459C2×C4semidirect
312. #6458C2×C4semidirect
313. #6458C2×C4semidirect
314. #6457C2×C4semidirect
317. #6456C2×C4semidirect
321. #6448C2×C4semidirect
322. #6447C2×C4semidirect
323. #6446C2×C4semidirect
324. #6445C2×C4semidirect
325. #6445C2×C4semidirect
327. D7×C22⋊C4C2×C4semidirect
328. #6438C2×C4semidirect
334. C4×D28C2×C4semidirect
382. #2373D7semidirect
472. C2×D28C22×C4semidirect
514. C2×C4×D7C22×C4semidirect
515. C2×C4×D7C22×C4semidirect
518. C2×Dic14C22×C4semidirect
524. C7×C4⋊C4C22×C4semidirect
525. C7×C4⋊C4C22×C4semidirect
526. C7×C4⋊C4C22×C4semidirect
540. C42×C7C22×C4semidirect
573. (C2×D7)⋊C4C22×C4semidirect
574. (C2×D7)⋊C4C22×C4semidirect
575. (C2×D7)⋊C4C22×C4semidirect
576. (C2×D7)⋊C4C22×C4semidirect
586. C4⋊Dic7C22×C4semidirect
597. Dic7⋊C4C22×C4semidirect
598. Dic7⋊C4C22×C4semidirect
608. C4×Dic7C22×C4semidirect
656. #389C2×D7semidirect
690. #387C2×D7semidirect
691. #387C2×D7semidirect
692. #387C2×D7semidirect
745. C4×C4⋊C4C2×D7semidirect
746. C4×C4⋊C4C2×D7semidirect
747. C4×C4⋊C4C2×D7semidirect
761. #376C2×D7semidirect
939. #126C4×D7semidirect
1305. C4⋊C4C2×C4×D7semidirect
1306. C4⋊C4C2×C4×D7semidirect
1307. C4⋊C4C2×C4×D7semidirect
1367. C42C2×C4×D7semidirect
1525. C7#34416semidirect

Maximal subgroups

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

subgroupindex
C2×#903952
C7×#23732
#117405212
#117336482
#117334222
#117332862
#117332722
#117332712
#117332702
#117329382
#117329352
#117327542
#117327502
#117327432
#117327422
#117324102
#117324002
D7×#3852
#117318422
#117312202
#117312192
C4⋊C4×D282
#117312082
#117310772
#117310742
#117310232
C4×#64452
#117309172
#117308622
#117308322
#344167