Finite Group Databasebeta

← #13522599

Subgroups — #13522599

Order 1792.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#529C211yesmaximal, characteristic, complemented
2C2×D7×#117C211yesmaximal, characteristic, complemented
3#11740527C211yesmaximal, characteristic, complemented
4#11740526C211yesmaximal, characteristic, complemented
5#11740525C211yesmaximal, characteristic, complemented
6#11740524C211yesmaximal, characteristic, complemented
7#11740478C211yesmaximal, characteristic, complemented
8#11740477C211yesmaximal, characteristic, complemented
9#11740411C211yesmaximal, characteristic, complemented
10#11740410C211yesmaximal, characteristic, complemented
11#11740342C211yesmaximal, characteristic, complemented
12#11740341C211yesmaximal, characteristic, complemented
13#11740300C211yesmaximal, characteristic, complemented
14#11740299C211yesmaximal, characteristic, complemented
15#11740262C211yesmaximal, characteristic, complemented
16#11740215C211yesmaximal, characteristic, complemented
17#11740152C211yesmaximal, characteristic
18#11740105C211yesmaximal, characteristic, complemented
19#11739936C211yesmaximal, characteristic, complemented
20C4×#6509C211yesmaximal, characteristic, complemented
21#11739846C211yesmaximal, characteristic, complemented
22C4×#6501C211yesmaximal, characteristic, complemented
23C4×#6500C211yesmaximal, characteristic, complemented
24C4×#6500C211yesmaximal, characteristic, complemented
25#11739791C211yesmaximal, characteristic, complemented
26#11739791C211yesmaximal, characteristic, complemented
27#11739713C211yesmaximal, characteristic, complemented
28#11739674C211yesmaximal, characteristic, complemented
29#11739670C211yesmaximal, characteristic, complemented
30#11739510C211yesmaximal, characteristic, complemented
31C42×C22⋊D7C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C7×#529—28no—
34C2×C7×#126C2211yescharacteristic
35C2×C7×#126C2211yescharacteristic, complemented
36C2×C7×#125C2211yescharacteristic, complemented
37C2×C7×#124C2211yescharacteristic
38C2×C7×#123C2211yescharacteristic
39C2×C7×#123C2211yescharacteristic, complemented
40C2×C7×C22⋊Q8C2211yescharacteristic, complemented
41C2×C7×#121C2211yescharacteristic
42C2×C4×C7×Q8C2211yescharacteristic, complemented
43C2×C4×C7×D4C2211yescharacteristic
44C2×C4×C7×D4C2211yescharacteristic
45C2×C4×C7×D4C2211yescharacteristic, complemented
46C2×C7×#117C2211yescharacteristic
47C2×C7×#117C2211yescharacteristic, complemented
48C22×C42×C7C2211yescharacteristic, complemented
49C2×#6509C2211yescharacteristic
50C2×#6501C2211yescharacteristic
51C2×#6500C2211yescharacteristic
52C2×#6500C2211yescharacteristic
53C2×C4×C22⋊D7C2211yescharacteristic
54C2×C4×C22⋊D7C2211yescharacteristic
55C2×C4×C22⋊D7C2211yescharacteristic
56C2×C4×C22⋊D7C2211yescharacteristic
57C2×C4×C22⋊D7C2211yescharacteristic
58C2×C4×C22⋊D7C2211yescharacteristic
59C2×#6489C2211yescharacteristic
60D7×#117—28no—
61C2×#6455C2211yescharacteristic
62C2×#6455C2211yescharacteristic
63C2×D7×C4⋊C4C2211yescharacteristic
64C2×D7×C4⋊C4C2211yescharacteristic
65C2×D7×C22⋊C4C2211yescharacteristic
66C2×D7×C22⋊C4C2211yescharacteristic
67C2×#6440C2211yescharacteristic
68C2×#6440C2211yescharacteristic
69C2×#6435C2211yescharacteristic
70C2×#6435C2211yescharacteristic
71C2×C42×D7C2211yescharacteristic
72C2×C42×D7C2211yescharacteristic
73#90003C2211yescharacteristic
74#90002C2211yescharacteristic, complemented
75#90001C2211yescharacteristic, complemented
76#89995C2211yescharacteristic
77#89994C2211yescharacteristic
78#89994C2211yescharacteristic
79#89994C2211yescharacteristic
80#89994C2211yescharacteristic
81#89994C2211yescharacteristic, complemented
82#89993C2211yescharacteristic, complemented
83#89992C2211yescharacteristic
84#89992C2211yescharacteristic
85#89985C2211yescharacteristic
86#89985C2211yescharacteristic
87#89982C2211yescharacteristic, complemented
88#89982C2211yescharacteristic, complemented
89C4×C22⋊Dic7C2211yescharacteristic
90C4×C22⋊Dic7C2211yescharacteristic
91C4×C22⋊Dic7C2211yescharacteristic, complemented
92C4×C22⋊Dic7C2211yescharacteristic, complemented
93C4×C22⋊Dic7C2211yescharacteristic, complemented
94C4×C22⋊Dic7C2211yescharacteristic, complemented
95C4×C22⋊Dic7C2211yescharacteristic, complemented
96C4×C22⋊Dic7C2211yescharacteristic, complemented
97#89766C2211yescharacteristic
98#89766C2211yescharacteristic
99#89765C2211yescharacteristic
100#89764C2211yescharacteristic
101#89762C2211yescharacteristic
102#89762C2211yescharacteristic
103#89761C2211yescharacteristic
104#89761C2211yescharacteristic
105#89761C2211yescharacteristic
106#89761C2211yescharacteristic
107#89761C2211yescharacteristic
108#89761C2211yescharacteristic
109#89761C2211yescharacteristic
110#89761C2211yescharacteristic
111#89759C2211yescharacteristic
112#89759C2211yescharacteristic
113#89758C2211yescharacteristic, complemented
114#89758C2211yescharacteristic, complemented
115#89756C2211yescharacteristic, complemented
116#89756C2211yescharacteristic, complemented
117#89755C2211yescharacteristic, complemented
118#89755C2211yescharacteristic, complemented
119#89754C2211yescharacteristic, complemented
120#89753C2211yescharacteristic, complemented
121#89753C2211yescharacteristic, complemented
122#89753C2211yescharacteristic, complemented
123#89753C2211yescharacteristic, complemented
124#89752C2211yescharacteristic, complemented
125#89750C2211yescharacteristic, complemented
126#89750C2211yescharacteristic, complemented
127#89750C2211yescharacteristic, complemented
128#89750C2211yescharacteristic, complemented
129#89745C2211yescharacteristic, complemented
130#89745C2211yescharacteristic, complemented
131#89744C2211yescharacteristic, complemented
132#89744C2211yescharacteristic, complemented
133#89733C2211yescharacteristic
134#89733C2211yescharacteristic
135#89729C2211yescharacteristic
136#89729C2211yescharacteristic
137#89728C2211yescharacteristic
138#89728C2211yescharacteristic
139#89728C2211yescharacteristic
140#89728C2211yescharacteristic
141#89728C2211yescharacteristic
142#89728C2211yescharacteristic
143#89728C2211yescharacteristic
144#89728C2211yescharacteristic
145#89727C2211yescharacteristic
146#89727C2211yescharacteristic
147#89725C2211yescharacteristic, complemented
148#89725C2211yescharacteristic, complemented
149#89724C2211yescharacteristic
150#89724C2211yescharacteristic
151#89724C2211yescharacteristic
152#89724C2211yescharacteristic
153#89723C2211yescharacteristic
154#89723C2211yescharacteristic
155#89723C2211yescharacteristic
156#89723C2211yescharacteristic
157#89721C2211yescharacteristic, complemented
158#89721C2211yescharacteristic, complemented
159#89720C2211yescharacteristic, complemented
160#89720C2211yescharacteristic, complemented
161#89718C2211yescharacteristic
162#89718C2211yescharacteristic
163#89717C2211yescharacteristic, complemented
164#89717C2211yescharacteristic, complemented
165#89716C2211yescharacteristic, complemented
166#89716C2211yescharacteristic, complemented
167#89716C2211yescharacteristic, complemented
168#89716C2211yescharacteristic, complemented
169#89712C2211yescharacteristic
170#89712C2211yescharacteristic
171C4×(C2×D7)⋊C4C2211yescharacteristic
172C4×(C2×D7)⋊C4C2211yescharacteristic
173C4×(C2×D7)⋊C4C2211yescharacteristic
174C4×(C2×D7)⋊C4C2211yescharacteristic
175C4×(C2×D7)⋊C4C2211yescharacteristic
176C4×(C2×D7)⋊C4C2211yescharacteristic
177C4×C4⋊Dic7C2211yescharacteristic, complemented
178C4×C4⋊Dic7C2211yescharacteristic, complemented
179#89705C2211yescharacteristic, complemented
180#89705C2211yescharacteristic, complemented
181#89704C2211yescharacteristic, complemented
182C4×Dic7⋊C4C2211yescharacteristic, complemented
183C4×Dic7⋊C4C2211yescharacteristic, complemented
184C4×Dic7⋊C4C2211yescharacteristic, complemented
185C4×Dic7⋊C4C2211yescharacteristic, complemented
186C4×Dic7⋊C4C2211yescharacteristic, complemented
187C4×Dic7⋊C4C2211yescharacteristic, complemented
188C42×Dic7C2211yescharacteristic, complemented
189#34740—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C22×C4×D7—24no—
206C22×C4×D7—24no—
207C22×C4×D7—24no—
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C7×#126—24no—
217C7×#126—24no—
218C7×#125—24no—
219C7×#124—24no—
220C7×#123—24no—
221C7×#123—24no—
222C7×C22⋊Q8—24no—
223C7×#121—24no—
224C4×C7×Q8—24no—
225C4×C7×D4—24no—
226C4×C7×D4—24no—
227C4×C7×D4—24no—
228C7×#117—24no—
229C7×#117D418yescomplemented
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C4⋊C4C2311yescharacteristic
240C2×C7×C22⋊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×C42×C7—24no—
251C2×C42×C7C2311yescharacteristic
252C2×C42×C7C2311yescharacteristic
253C2×C42×C7C2311yescharacteristic
254C2×C42×C7C2311yescharacteristic
255C2×C42×C7C2311yescharacteristic
256C2×C42×C7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274C2×C22⋊Dic7C2311yescharacteristic
275#6509—24no—
276#6501—24no—
277#6500—24no—
278#6500—24no—
279C4×C22⋊D7—24no—
280C4×C22⋊D7—24no—
281C4×C22⋊D7—24no—
282C4×C22⋊D7—24no—
283C4×C22⋊D7—24no—
284C4×C22⋊D7—24no—
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
301#6489—24no—
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307C2×C4⋊Dic7C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338#6455—24no—
339#6455—24no—
340D7×C4⋊C4—24no—
341D7×C4⋊C4—24no—
342D7×C22⋊C4—24no—
343D7×C22⋊C4—24no—
344#6440—24no—
345#6440—24no—
346#6435—24no—
347#6435—24no—
348C42×D7—24no—
349C42×D7—24no—
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
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#529D711yescharacteristic, complemented
387C22×#117—71no—
388#2481—71no—
389#2480—71no—
390#2479—71no—
391#2478—71no—
392#2477—71no—
393#2476—71no—
394#2475—71no—
395#2474—71no—
396#2473—71no—
397#2472—71no—
398#2471—71no—
399#2470—71no—
400#2449—71no—
401#2443—71no—
402#2424—71no—
403#2418—71no—
404#2396—71no—
405#2395—71no—
406#2395—71no—
407#2392—71no—
408C4×C22⋊Q8—71no—
409C4×#121—71no—
410C4×#120—71no—
411C4×#120—71no—
412#2298—71no—
413#2293—71no—
414#2290—71no—
415#2290—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C24×C7C2411yescharacteristic
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—22no—
424C23×D7—22no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C2×C7×Q8—22no—
430C2×C7×Q8—22no—
431C2×C7×Q8—41no—
432C2×C7×D4—22no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—22no—
436C2×C7×D4—22no—
437C2×C7×D4—22no—
438C2×C7×D4—41no—
439C2×C7×D4—41no—
440C2×C7×D4—41no—
441C22×C4×C7—22no—
442C22×C4×C7—22no—
443C22×C4×C7—22no—
444C22×C4×C7—22no—
445C22×C4×C7—22no—
446C22×C4×C7—22no—
447C22×C4×C7—22no—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—22no—
452C22×C4×C7—22no—
453C22×C4×C7—41no—
454C22×C4×C7—41no—
455C22×C4×C7C2×D414yes—
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
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7#4114yes—
480C22×Dic7—22no—
481C22×Dic7—22no—
482C22×Dic7—22no—
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C2×C4×D7—232no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—22no—
506C2×C4×D7—22no—
507C2×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7#4114yes—
521C2×C4×D7#4114yes—
522C7×C4⋊C4—22no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—22no—
525C7×C4⋊C4—22no—
526C7×C4⋊C4—22no—
527C7×C4⋊C4—22no—
528C7×C4⋊C4—22no—
529C7×C4⋊C4—22no—
530C7×C4⋊C4C2×D414yes—
531C7×C4⋊C4C2×D414yes—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—22no—
535C7×C22⋊C4—22no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4C2×D414yes—
541C7×C22⋊C4C2×D414yes—
542C42×C7—22no—
543C42×C7—22no—
544C42×C7—22no—
545C42×C7—22no—
546C42×C7C2×D414yes—
547C42×C7C2×D414yes—
548C22⋊Dic7—22no—
549C22⋊Dic7—22no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—22no—
559C22⋊Dic7—22no—
560C22⋊Dic7—41no—
561C22⋊Dic7—41no—
562C22⋊Dic7—41no—
563C22⋊Dic7—41no—
564C22⋊Dic7—41no—
565C22⋊Dic7—41no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—22no—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4#4114yes—
582C4⋊Dic7—22no—
583C4⋊Dic7—22no—
584C4⋊Dic7—22no—
585C4⋊Dic7—22no—
586C4⋊Dic7—41no—
587C4⋊Dic7—41no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—22no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—22no—
597Dic7⋊C4—22no—
598Dic7⋊C4—22no—
599Dic7⋊C4—22no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602Dic7⋊C4—41no—
603Dic7⋊C4—41no—
604C4×Dic7—22no—
605C4×Dic7—22no—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—22no—
609C4×Dic7—22no—
610C4×Dic7—22no—
611C4×Dic7—22no—
612C4×Dic7—22no—
613C4×Dic7—22no—
614C4×Dic7—22no—
615C4×Dic7—22no—
616C4×Dic7—41no—
617C4×Dic7—41no—
618C24×C4—71no—
619#529—28no—
620C2×#126C2×D711yescharacteristic
621C2×#126C2×D711yescharacteristic, complemented
622C2×#125C2×D711yescharacteristic, complemented
623C2×#124C2×D711yescharacteristic
624C2×#123C2×D711yescharacteristic
625C2×#123C2×D711yescharacteristic, complemented
626C2×C22⋊Q8—71no—
627C2×C22⋊Q8C2×D711yescharacteristic, complemented
628C2×#121—71no—
629C2×#121C2×D711yescharacteristic
630C2×#120—71no—
631C2×#120—71no—
632C2×C4×Q8C2×D711yescharacteristic, complemented
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×C4×D4—71no—
636C2×C4×D4—71no—
637C2×C4×D4—71no—
638C2×C4×D4—71no—
639C2×C4×D4C2×D711yescharacteristic
640C2×C4×D4C2×D711yescharacteristic
641C2×C4×D4C2×D711yescharacteristic, complemented
642C2×#117—71no—
643C2×#117—71no—
644C2×#117—71no—
645C2×#117—71no—
646C2×#117—71no—
647C2×#117—71no—
648C2×#117—71no—
649C2×#117—148no—
650C2×#117C2×D711yescharacteristic
651C2×#117C2×D711yescharacteristic, complemented
652C22×C4⋊C4—71no—
653C22×C4⋊C4—71no—
654C22×C22⋊C4—71no—
655C22×C22⋊C4—71no—
656C22×C42—71no—
657C22×C42—71no—
658C22×C42C2×D711yescharacteristic, complemented
659#400—71no—
660#400—71no—
661#400—71no—
662#399—71no—
663#399—71no—
664#399—71no—
665#398—71no—
666#398—71no—
667#398—71no—
668#398—71no—
669#398—71no—
670#397—71no—
671#397—71no—
672#397—71no—
673#397—71no—
674#397—71no—
675#397—71no—
676#397—71no—
677#396—71no—
678#396—71no—
679#396—71no—
680#396—71no—
681#395—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#394—71no—
687#394—71no—
688#394—71no—
689#393—71no—
690#392—71no—
691#391—71no—
692#390—71no—
693#390—71no—
694#390—71no—
695#389—71no—
696#389—71no—
697#389—71no—
698#389—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388—71no—
709#388—71no—
710#388—71no—
711#388—71no—
712#388—71no—
713#387—71no—
714#387—71no—
715#387—71no—
716#387—71no—
717#387—71no—
718#387—71no—
719#387—71no—
720#387—71no—
721#387—71no—
722#387—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#385—71no—
736#385—71no—
737#385—71no—
738#385—71no—
739#385—71no—
740#385—71no—
741#385—71no—
742#385—71no—
743#385—71no—
744#385—71no—
745#385—71no—
746#385—71no—
747#380—71no—
748#380—71no—
749#379—71no—
750#379—71no—
751C4×C4⋊C4—71no—
752C4×C4⋊C4—71no—
753C4×C4⋊C4—71no—
754C4×C4⋊C4—71no—
755C4×C4⋊C4—71no—
756C4×C4⋊C4—71no—
757C4×C4⋊C4—71no—
758C4×C4⋊C4—71no—
759C4×C22⋊C4—71no—
760C4×C22⋊C4—71no—
761C4×C22⋊C4—71no—
762C4×C22⋊C4—71no—
763C4×C22⋊C4—71no—
764C4×C22⋊C4—71no—
765C4×C22⋊C4—71no—
766C4×C22⋊C4—71no—
767C4×C22⋊C4—71no—
768C4×C22⋊C4—71no—
769C4×C22⋊C4—71no—
770C4×C22⋊C4—71no—
771C4×C22⋊C4—71no—
772C4×C22⋊C4—71no—
773#376—71no—
774C43—71no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7C22×D412yes—
795C23×C7C2×#4112yes—
796C23×C7C2511yescharacteristic
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—28no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—44no—
809C22×D7—44no—
810C22×D7—44no—
811C22×D7—44no—
812C22×D7—44no—
813C22×D7—44no—
814C22×D7C2×#4112yes—
815C22×D7C2×#4112yes—
816C22×D7C2×#4112yes—
817C22×D7C2×#4112yes—
818C7×Q8—44no—
819C7×D4—44no—
820C7×D4—44no—
821C7×D4—44no—
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—28no—
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—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—44no—
851C2×C4×C7—44no—
852C2×C4×C7—44no—
853C2×C4×C7—44no—
854C2×C4×C7C22×D412yes—
855C2×C4×C7C22×D412yes—
856C2×C4×C7C22×D412yes—
857C2×C4×C7C22×D412yes—
858C2×C4×C7C22×D412yes—
859C2×C4×C7C22×D412yes—
860C2×C4×C7C2×#4112yes—
861C2×C4×C7C2×#4112yes—
862C2×C4×C7C2×#4112yes—
863C22⋊D7—28no—
864C22⋊D7—44no—
865C22⋊D7—44no—
866C22⋊D7—44no—
867C2×Dic7—28no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7C2×#4112yes—
907C2×Dic7C2×#4112yes—
908C2×Dic7C2×#4112yes—
909C2×Dic7C2×#4112yes—
910C4×D7—28no—
911C4×D7—28no—
912C4×D7—28no—
913C4×D7—28no—
914C4×D7—44no—
915C4×D7—44no—
916C4×D7—44no—
917C4×D7—44no—
918C25—71no—
919C22×Q8C22×D711yescharacteristic
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4C22×D711yescharacteristic
925C22×D4C22×D711yescharacteristic
926C22×D4C22×D711yescharacteristic
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—144no—
937C23×C4—144no—
938C23×C4—144no—
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944#126—24no—
945#126—24no—
946#125—24no—
947#124—24no—
948#123—24no—
949#123—24no—
950C22⋊Q8—24no—
951C22⋊Q8—144no—
952#121—24no—
953#121—144no—
954#120—144no—
955#120—144no—
956C4×Q8—24no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—144no—
961C4×D4—144no—
962C4×D4—144no—
963C4×D4—144no—
964C4×D4—144no—
965C4×D4—144no—
966#117—24no—
967#117—144no—
968#117—144no—
969#117—144no—
970#117—144no—
971#117—144no—
972#117—144no—
973#117—144no—
974#117C22⋊D718yescomplemented
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—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—144no—
998C2×C4⋊C4—144no—
999C2×C4⋊C4C22×D711yescharacteristic
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C4⋊C4C22×D711yescharacteristic
1004C2×C4⋊C4C22×D711yescharacteristic
1005C2×C4⋊C4C22×D711yescharacteristic
1006C2×C4⋊C4C22×D711yescharacteristic
1007C2×C4⋊C4C22×D711yescharacteristic
1008C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—144no—
1044C2×C22⋊C4—144no—
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C22⋊C4C22×D711yescharacteristic
1052C2×C22⋊C4C22×D711yescharacteristic
1053C2×C22⋊C4C22×D711yescharacteristic
1054C2×C22⋊C4C22×D711yescharacteristic
1055C2×C42—24no—
1056C2×C42—71no—
1057C2×C42—71no—
1058C2×C42—71no—
1059C2×C42—71no—
1060C2×C42—71no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42—71no—
1069C2×C42—71no—
1070C2×C42—144no—
1071C2×C42—144no—
1072C2×C42C22×D711yescharacteristic
1073C2×C42C22×D711yescharacteristic
1074C2×C42C22×D711yescharacteristic
1075C2×C42C22×D711yescharacteristic
1076C2×C42C22×D711yescharacteristic
1077C2×C42C22×D711yescharacteristic
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114C22×C7—22no—
1115C22×C7—22no—
1116C22×C7—22no—
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7—41no—
1128C22×C7—41no—
1129C22×C7—41no—
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7C23×D411yescharacteristic
1136C22×C7C22×#4111yescharacteristic
1137C22×C7C22×#4111yescharacteristic
1138C22×C7C22×#4111yescharacteristic
1139C22×C7C22×#4111yescharacteristic
1140C22×C7#58511yescharacteristic
1141C22×C7#58511yescharacteristic
1142C2×D7—22no—
1143C2×D7—22no—
1144C2×D7—22no—
1145C2×D7—22no—
1146C2×D7—22no—
1147C2×D7—22no—
1148C2×D7—22no—
1149C2×D7—22no—
1150C2×D7—22no—
1151C2×D7—416no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7#52914yescomplemented
1157C4×C7—22no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—22no—
1161C4×C7—22no—
1162C4×C7—22no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7#52514yes—
1169Dic7—22no—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—41no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183C24—71no—
1184C24—71no—
1185C24—142no—
1186C24—142no—
1187C24—142no—
1188C24—142no—
1189C24—142no—
1190C24—281no—
1191C24—281no—
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C24C23×D711yescharacteristic
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—74no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—142no—
1216C2×D4—142no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—74no—
1238C22×C4—74no—
1239C22×C4—71no—
1240C22×C4—71no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—71no—
1245C22×C4—71no—
1246C22×C4—71no—
1247C22×C4—71no—
1248C22×C4—71no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—1432no—
1254C22×C4—142no—
1255C22×C4—142no—
1256C22×C4—142no—
1257C22×C4—142no—
1258C22×C4—142no—
1259C22×C4—142no—
1260C22×C4—142no—
1261C22×C4—142no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
1265C22×C4—142no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—142no—
1269C22×C4—142no—
1270C22×C4—142no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4C2×C22⋊D714yes—
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
1302C4⋊C4—142no—
1303C4⋊C4—142no—
1304C4⋊C4—142no—
1305C4⋊C4—142no—
1306C4⋊C4—142no—
1307C4⋊C4—142no—
1308C4⋊C4—142no—
1309C4⋊C4—142no—
1310C4⋊C4—142no—
1311C4⋊C4—142no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4C2×C22⋊D714yes—
1319C4⋊C4C2×C22⋊D714yes—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—74no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
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—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4C2×C22⋊D714yes—
1363C22⋊C4C2×C22⋊D714yes—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—142no—
1369C42—142no—
1370C42—142no—
1371C42—142no—
1372C42—142no—
1373C42—142no—
1374C42—142no—
1375C42—142no—
1376C42—142no—
1377C42—142no—
1378C42—142no—
1379C42—142no—
1380C42—281no—
1381C42—281no—
1382C42C2×C22⋊D714yes—
1383C42C2×C22⋊D714yes—
1384C2×C7—42no—
1385C2×C7—42no—
1386C2×C7—81no—
1387C2×C7C2×#52511yescharacteristic
1388C2×C7C2×#52911yescharacteristic
1389C2×C7#345511yescharacteristic
1390C2×C7D4×#4111yescharacteristic
1391C2×C7D4×#4111yescharacteristic
1392C2×C7#347511yescharacteristic
1393C2×C7#347511yescharacteristic
1394D7—24no—
1395D7—42no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—72no—
1416C23—72no—
1417C23—72no—
1418C23—72no—
1419C23—148no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—284no—
1431C23—284no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23D7×#4112yes—
1437C23C22×C22⋊D712yes—
1438C23C24×D711yescharacteristic
1439Q8—44no—
1440D4—44no—
1441D4—44no—
1442D4—44no—
1443D4—148no—
1444D4—284no—
1445D4—284no—
1446D4—284no—
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—28no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—72no—
1480C2×C4—72no—
1481C2×C4—72no—
1482C2×C4—72no—
1483C2×C4—148no—
1484C2×C4—148no—
1485C2×C4—148no—
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—148no—
1495C2×C4—148no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—284no—
1527C2×C4—284no—
1528C2×C4—284no—
1529C2×C4—284no—
1530C2×C4D7×#4112yes—
1531C2×C4D7×#4112yes—
1532C2×C4D7×#4112yes—
1533C2×C4C22×C22⋊D712yes—
1534C2×C4C22×C22⋊D712yes—
1535C2×C4C22×C22⋊D712yes—
1536C2×C4C22×C22⋊D712yes—
1537C2×C4C22×C22⋊D712yes—
1538C2×C4C22×C22⋊D712yes—
1539C7#3474011yescharacteristic, complemented, Sylow
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—74no—
1562C22—142no—
1563C22—142no—
1564C22—142no—
1565C22—142no—
1566C22—142no—
1567C22—142no—
1568C22—142no—
1569C22—142no—
1570C22—142no—
1571C22—2816no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22C2×D7×#4111yescharacteristic
1577C22C2×D7×#4111yescharacteristic
1578C22C2×D7×#4111yescharacteristic
1579C22C2×D7×#4111yescharacteristic
1580C22#9061611yescharacteristic
1581C22#9061611yescharacteristic
1582C22C23×C22⋊D711yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—142no—
1595C4—142no—
1596C4—142no—
1597C4—142no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C4—281no—
1607C4—281no—
1608C4#9051914yes—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—144no—
1613C2—282no—
1614C2D7×#52911yescharacteristic
1615C2#1174321411yescharacteristic
1616C2#1174321811yescharacteristic
1617C2#1174321911yescharacteristic
1618C2C2×#9051911yescharacteristic
1619C2#41×C22⋊D711yescharacteristic
1620C2#41×C22⋊D711yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC2×C7×#529C2
prime radical#11740152C2
hypercenterC2×#529D7
hypocenterC7#34740
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. C2×C7×#529C2semidirect
2. C2×D7×#117C2semidirect
3. #11740527C2semidirect
4. #11740526C2semidirect
5. #11740525C2semidirect
6. #11740524C2semidirect
7. #11740478C2semidirect
8. #11740477C2semidirect
9. #11740411C2semidirect
10. #11740410C2semidirect
11. #11740342C2semidirect
12. #11740341C2semidirect
13. #11740300C2semidirect
14. #11740299C2semidirect
15. #11740262C2semidirect
16. #11740215C2semidirect
18. #11740105C2semidirect
19. #11739936C2semidirect
20. C4×#6509C2semidirect
21. #11739846C2semidirect
22. C4×#6501C2semidirect
23. C4×#6500C2semidirect
24. C4×#6500C2semidirect
25. #11739791C2semidirect
26. #11739791C2semidirect
27. #11739713C2semidirect
28. #11739674C2semidirect
29. #11739670C2semidirect
30. #11739510C2semidirect
31. C42×C22⋊D7C2semidirect
35. C2×C7×#126C22semidirect
36. C2×C7×#125C22semidirect
39. C2×C7×#123C22semidirect
40. C2×C7×C22⋊Q8C22semidirect
42. C2×C4×C7×Q8C22semidirect
45. C2×C4×C7×D4C22semidirect
47. C2×C7×#117C22semidirect
48. C22×C42×C7C22semidirect
74. #90002C22semidirect
75. #90001C22semidirect
81. #89994C22semidirect
82. #89993C22semidirect
87. #89982C22semidirect
88. #89982C22semidirect
91. C4×C22⋊Dic7C22semidirect
92. C4×C22⋊Dic7C22semidirect
93. C4×C22⋊Dic7C22semidirect
94. C4×C22⋊Dic7C22semidirect
95. C4×C22⋊Dic7C22semidirect
96. C4×C22⋊Dic7C22semidirect
113. #89758C22semidirect
114. #89758C22semidirect
115. #89756C22semidirect
116. #89756C22semidirect
117. #89755C22semidirect
118. #89755C22semidirect
119. #89754C22semidirect
120. #89753C22semidirect
121. #89753C22semidirect
122. #89753C22semidirect
123. #89753C22semidirect
124. #89752C22semidirect
125. #89750C22semidirect
126. #89750C22semidirect
127. #89750C22semidirect
128. #89750C22semidirect
129. #89745C22semidirect
130. #89745C22semidirect
131. #89744C22semidirect
132. #89744C22semidirect
147. #89725C22semidirect
148. #89725C22semidirect
157. #89721C22semidirect
158. #89721C22semidirect
159. #89720C22semidirect
160. #89720C22semidirect
163. #89717C22semidirect
164. #89717C22semidirect
165. #89716C22semidirect
166. #89716C22semidirect
167. #89716C22semidirect
168. #89716C22semidirect
177. C4×C4⋊Dic7C22semidirect
178. C4×C4⋊Dic7C22semidirect
179. #89705C22semidirect
180. #89705C22semidirect
181. #89704C22semidirect
182. C4×Dic7⋊C4C22semidirect
183. C4×Dic7⋊C4C22semidirect
184. C4×Dic7⋊C4C22semidirect
185. C4×Dic7⋊C4C22semidirect
186. C4×Dic7⋊C4C22semidirect
187. C4×Dic7⋊C4C22semidirect
188. C42×Dic7C22semidirect
229. C7×#117D4semidirect
386. C2×#529D7semidirect
621. C2×#126C2×D7semidirect
622. C2×#125C2×D7semidirect
625. C2×#123C2×D7semidirect
627. C2×C22⋊Q8C2×D7semidirect
632. C2×C4×Q8C2×D7semidirect
641. C2×C4×D4C2×D7semidirect
651. C2×#117C2×D7semidirect
658. C22×C42C2×D7semidirect
974. #117C22⋊D7semidirect
1156. C2×D7#529semidirect
1539. C7#34740semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#5292
C2×D7×#1172
#117405272
#117405262
#117405252
#117405242
#117404782
#117404772
#117404112
#117404102
#117403422
#117403412
#117403002
#117402992
#117402622
#117402152
#117401522
#117401052
#117399362
C4×#65092
#117398462
C4×#65012
C4×#65002
#117397912
#117397132
#117396742
#117396702
#117395102
C42×C22⋊D72
#347407