Finite Group Databasebeta

← #13524777

Subgroups — #13524777

Order 1792.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90397C211yesmaximal, characteristic, complemented
2C2×D7×#117C211yesmaximal, characteristic, complemented
3C7×#2601C211yesmaximal, characteristic, complemented
4#11740556C211yesmaximal, characteristic, complemented
5#11739704C211yesmaximal, characteristic, complemented
6#11735391C211yesmaximal, characteristic, complemented
7#11735184C211yesmaximal, characteristic, complemented
8#11734860C211yesmaximal, characteristic, complemented
9#11734859C211yesmaximal, characteristic, complemented
10#11734727C211yesmaximal, characteristic, complemented
11#11734726C211yesmaximal, characteristic, complemented
12#11734554C211yesmaximal, characteristic, complemented
13#11734335C211yesmaximal, characteristic, complemented
14#11733899C211yesmaximal, characteristic
15#11733734C211yesmaximal, characteristic, complemented
16#11733692C211yesmaximal, characteristic, complemented
17#11733406C211yesmaximal, characteristic, complemented
18#11733345C211yesmaximal, characteristic, complemented
19#11733339C211yesmaximal, characteristic, complemented
20#11733335C211yesmaximal, characteristic, complemented
21#11732898C211yesmaximal, characteristic, complemented
22#11732895C211yesmaximal, characteristic, complemented
23#11732895C211yesmaximal, characteristic, complemented
24#11732821C211yesmaximal, characteristic, complemented
25#11732385C211yesmaximal, characteristic, complemented
26#11732225C211yesmaximal, characteristic, complemented
27#11732104C211yesmaximal, characteristic, complemented
28#11731946C211yesmaximal, characteristic, complemented
29#11731824C211yesmaximal, characteristic, complemented
30#11731258C211yesmaximal, characteristic, complemented
31C4×#6455C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#126C2211yescharacteristic, complemented
34C2×C7×#117C2211yescharacteristic
35C2×#6500C2211yescharacteristic
36C2×D4×Dic7C2211yescharacteristic
37C2×#6489C2211yescharacteristic
38#90397—28no—
39D7×#117—28no—
40C2×#6459C2211yescharacteristic
41C2×#6457C2211yescharacteristic
42C2×#6457C2211yescharacteristic
43C2×#6456C2211yescharacteristic
44C2×#6456C2211yescharacteristic
45C2×#6455C2211yescharacteristic
46C2×#6455C2211yescharacteristic
47C2×#6455C2211yescharacteristic
48C2×#6455C2211yescharacteristic
49C2×#6455C2211yescharacteristic, complemented
50C2×D7×C4⋊C4C2211yescharacteristic
51C2×D7×C4⋊C4C2211yescharacteristic
52C2×#6452C2211yescharacteristic, complemented
53C2×#6450C2211yescharacteristic, complemented
54C2×#6448C2211yescharacteristic, complemented
55C2×#6447C2211yescharacteristic
56C2×#6446C2211yescharacteristic
57C2×#6446C2211yescharacteristic
58C2×#6445C2211yescharacteristic
59C2×(C22⋊D7)⋊C4C2211yescharacteristic
60C2×(C22⋊D7)⋊C4C2211yescharacteristic
61C2×(C22⋊D7)⋊C4C2211yescharacteristic
62C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
63C2×D7×C22⋊C4C2211yescharacteristic
64C2×D7×C22⋊C4C2211yescharacteristic
65C2×#6440C2211yescharacteristic
66C2×#6440C2211yescharacteristic
67C2×#6440C2211yescharacteristic, complemented
68C2×#6439C2211yescharacteristic, complemented
69C2×#6435C2211yescharacteristic
70C2×#6435C2211yescharacteristic
71C2×C42×D7C2211yescharacteristic
72C2×C42×D7C2211yescharacteristic
73C7×#398C2211yescharacteristic, complemented
74C7×#396C2211yescharacteristic
75C7×#396C2211yescharacteristic, complemented
76C7×#394C2211yescharacteristic
77C7×#390C2211yescharacteristic
78C7×#389C2211yescharacteristic, complemented
79C7×#388C2211yescharacteristic
80C7×#388C2211yescharacteristic, complemented
81C7×#388C2211yescharacteristic, complemented
82C7×#387C2211yescharacteristic, complemented
83C7×#386C2211yescharacteristic
84C7×#385C2211yescharacteristic
85C4×C7×C4⋊C4C2211yescharacteristic, complemented
86#89995C2211yescharacteristic
87#89993C2211yescharacteristic
88#89985C2211yescharacteristic
89#89982C2211yescharacteristic
90#89766C2211yescharacteristic
91#89766C2211yescharacteristic
92#89766C2211yescharacteristic, complemented
93#89766C2211yescharacteristic, complemented
94#89764C2211yescharacteristic
95#89763C2211yescharacteristic
96#89762C2211yescharacteristic
97#89762C2211yescharacteristic, complemented
98#89761C2211yescharacteristic
99#89761C2211yescharacteristic
100#89761C2211yescharacteristic
101#89760C2211yescharacteristic
102#89757C2211yescharacteristic, complemented
103#89756C2211yescharacteristic, complemented
104#89756C2211yescharacteristic, complemented
105#89756C2211yescharacteristic, complemented
106#89755C2211yescharacteristic, complemented
107#89751C2211yescharacteristic, complemented
108#89750C2211yescharacteristic, complemented
109C4⋊C4×Dic7C2211yescharacteristic, complemented
110C4⋊C4×Dic7C2211yescharacteristic, complemented
111C4⋊C4×Dic7C2211yescharacteristic, complemented
112C4⋊C4×Dic7C2211yescharacteristic, complemented
113#89745C2211yescharacteristic, complemented
114#89744C2211yescharacteristic, complemented
115#89744C2211yescharacteristic, complemented
116#89733C2211yescharacteristic
117#89733C2211yescharacteristic
118#89733C2211yescharacteristic, complemented
119#89732C2211yescharacteristic
120#89731C2211yescharacteristic, complemented
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89728C2211yescharacteristic
126#89728C2211yescharacteristic
127#89728C2211yescharacteristic
128#89727C2211yescharacteristic
129#89727C2211yescharacteristic
130#89724C2211yescharacteristic
131#89723C2211yescharacteristic
132#89723C2211yescharacteristic, complemented
133#89721C2211yescharacteristic
134#89720C2211yescharacteristic
135#89720C2211yescharacteristic, complemented
136#89719C2211yescharacteristic
137#89717C2211yescharacteristic
138#89717C2211yescharacteristic, complemented
139#89716C2211yescharacteristic
140#89716C2211yescharacteristic, complemented
141#89716C2211yescharacteristic, complemented
142C22⋊C4×Dic7C2211yescharacteristic
143C22⋊C4×Dic7C2211yescharacteristic
144C22⋊C4×Dic7C2211yescharacteristic, complemented
145C22⋊C4×Dic7C2211yescharacteristic, complemented
146#89712C2211yescharacteristic
147#89712C2211yescharacteristic, complemented
148#89712C2211yescharacteristic, complemented
149#89711C2211yescharacteristic
150C4×(C2×D7)⋊C4C2211yescharacteristic
151C4×(C2×D7)⋊C4C2211yescharacteristic
152C4×C4⋊Dic7C2211yescharacteristic, complemented
153#89705C2211yescharacteristic, complemented
154C42×Dic7C2211yescharacteristic, complemented
155C42×Dic7C2211yescharacteristic, complemented
156#89700C2211yescharacteristic, complemented
157#89447C2211yescharacteristic
158#89445C2211yescharacteristic
159#89442C2211yescharacteristic
160#89442C2211yescharacteristic, complemented
161#89442C2211yescharacteristic, complemented
162#89441C2211yescharacteristic
163#89441C2211yescharacteristic, complemented
164#89440C2211yescharacteristic
165#89440C2211yescharacteristic
166#89440C2211yescharacteristic
167#89438C2211yescharacteristic
168#89438C2211yescharacteristic
169#89438C2211yescharacteristic
170#89438C2211yescharacteristic
171#89438C2211yescharacteristic, complemented
172#89438C2211yescharacteristic, complemented
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89436C2211yescharacteristic
177#89436C2211yescharacteristic
178#89432C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89428C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89420C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#34877—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×C4×D7—24no—
202C22×C4×D7—24no—
203C22×C4×D7—24no—
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×Dic14C2311yescharacteristic
214C7×#126—24no—
215C7×#117—24no—
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
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×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250#6500—24no—
251D4×Dic7—24no—
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
278#6489—24no—
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×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321#6459—24no—
322#6457—24no—
323#6457—24no—
324#6456—24no—
325#6456—24no—
326#6455—24no—
327#6455—24no—
328#6455—24no—
329#6455—24no—
330#6455—24no—
331D7×C4⋊C4—24no—
332D7×C4⋊C4—24no—
333#6452—24no—
334#6450—24no—
335#6448—24no—
336#6447—24no—
337#6446—24no—
338#6446—24no—
339#6445—24no—
340(C22⋊D7)⋊C4—24no—
341(C22⋊D7)⋊C4—24no—
342(C22⋊D7)⋊C4—24no—
343(C22⋊D7)⋊C4—24no—
344D7×C22⋊C4—24no—
345D7×C22⋊C4—24no—
346#6440—24no—
347#6440—24no—
348#6440—24no—
349#6439—24no—
350#6435—24no—
351#6435—24no—
352C42×D7—24no—
353C42×D7D418yescomplemented
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×#529—71no—
387C22×#117—71no—
388#2611—71no—
389#2611—71no—
390#2610—71no—
391#2610—71no—
392#2601—71no—
393#2601—71no—
394#2601—71no—
395#2601D711yescharacteristic, complemented
396#2591—71no—
397#2583—71no—
398#2561—71no—
399#2539—71no—
400#2413—71no—
401#2413—71no—
402#2411—71no—
403#2411—71no—
404#2396—71no—
405#2396—71no—
406#2392—71no—
407#2392—71no—
408C4×#123—71no—
409C4×#123—71no—
410C4×#120—71no—
411C4×#120—71no—
412#2293—71no—
413#2293—71no—
414#2293—71no—
415#2293—71no—
416C4×#117—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—22no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C2×C7×D4—22no—
430C2×C7×D4—22no—
431C2×C7×D4—41no—
432C22×C4×C7—22no—
433C22×C4×C7—22no—
434C22×C4×C7—22no—
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C22×Dic7—22no—
461C22×Dic7—22no—
462C22×Dic7—22no—
463C22×Dic7—22no—
464C22×Dic7—22no—
465C22×Dic7#4114yes—
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C2×D28—22no—
480C2×D28—22no—
481C2×D28—22no—
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—41no—
485C2×C4×D7—232no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7C2×D414yes—
510C2×C4×D7C2×D414yes—
511C2×C4×D7C2×D414yes—
512C2×C4×D7#4114yes—
513C2×Dic14—22no—
514C2×Dic14—41no—
515C2×Dic14—41no—
516C7×C4⋊C4—22no—
517C7×C4⋊C4—22no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—22no—
522C7×C4⋊C4—22no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—22no—
525C7×C4⋊C4—41no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—22no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C42×C7—22no—
538C42×C7—41no—
539C42×C7—41no—
540C42×C7C2×D414yes—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4#4114yes—
575(C2×D7)⋊C4#4114yes—
576C4⋊Dic7—22no—
577C4⋊Dic7—22no—
578C4⋊Dic7—22no—
579C4⋊Dic7—22no—
580C4⋊Dic7—22no—
581C4⋊Dic7—22no—
582C4⋊Dic7—22no—
583C4⋊Dic7—41no—
584Dic7⋊C4—22no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—22no—
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—41no—
599Dic7⋊C4—41no—
600C4×Dic7—22no—
601C4×Dic7—22no—
602C4×Dic7—22no—
603C4×Dic7—22no—
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—41no—
614C4×Dic7—41no—
615C4×Dic7C2×D414yes—
616C4×Dic7C2×D414yes—
617C4×Dic7C2×D414yes—
618C24×C4—71no—
619#529—148no—
620C2×#126—71no—
621C2×#126C2×D711yescharacteristic, complemented
622C2×#125—71no—
623C2×#124—71no—
624C2×#123—71no—
625C2×#123—71no—
626C2×#123—71no—
627C2×#123—71no—
628C2×C22⋊Q8—71no—
629C2×#121—71no—
630C2×#120—71no—
631C2×#120—71no—
632C2×C4×Q8—71no—
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×D4—71no—
640C2×#117—71no—
641C2×#117—71no—
642C2×#117—71no—
643C2×#117—71no—
644C2×#117—71no—
645C2×#117—71no—
646C2×#117—71no—
647C2×#117—71no—
648C2×#117—71no—
649C2×#117—71no—
650C2×#117—71no—
651C2×#117—148no—
652C2×#117C2×D711yescharacteristic
653C22×C4⋊C4—71no—
654C22×C4⋊C4—71no—
655C22×C22⋊C4—71no—
656C22×C22⋊C4—71no—
657C22×C42—71no—
658C22×C42—71no—
659#400—71no—
660#400—71no—
661#399—71no—
662#399—71no—
663#398—71no—
664#398—71no—
665#398—71no—
666#398—71no—
667#398—71no—
668#398C2×D711yescharacteristic, complemented
669#397—71no—
670#397—71no—
671#396—71no—
672#396—71no—
673#396—71no—
674#396—71no—
675#396—71no—
676#396—71no—
677#396C2×D711yescharacteristic
678#396C2×D711yescharacteristic, complemented
679#395—71no—
680#395—71no—
681#394—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#394C2×D711yescharacteristic
687#393—71no—
688#393—71no—
689#392—71no—
690#392—71no—
691#390—71no—
692#390—71no—
693#390—71no—
694#390—71no—
695#390—71no—
696#390—71no—
697#390—71no—
698#390C2×D711yescharacteristic
699#389—71no—
700#389—71no—
701#389—71no—
702#389—71no—
703#389—71no—
704#389—71no—
705#389—71no—
706#389C2×D711yescharacteristic, complemented
707#388—71no—
708#388—71no—
709#388—71no—
710#388—71no—
711#388—71no—
712#388—71no—
713#388—71no—
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388C2×D711yescharacteristic
725#388C2×D711yescharacteristic, complemented
726#388C2×D711yescharacteristic, complemented
727#387—71no—
728#387—71no—
729#387—71no—
730#387C2×D711yescharacteristic, complemented
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386C2×D711yescharacteristic
739#385—71no—
740#385—71no—
741#385—71no—
742#385—71no—
743#385—71no—
744#385—71no—
745#385—71no—
746#385C2×D711yescharacteristic
747#381—71no—
748#381—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⋊C4C2×D711yescharacteristic, complemented
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—
771#376—71no—
772#376—71no—
773C43—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×C7C2×#4112yes—
789C23×C7C2511yescharacteristic
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—28no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×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×D7C22×D412yes—
815C22×D7C2×#4112yes—
816C22×D7C2×#4112yes—
817C22×D7C2×#4112yes—
818C7×D4—44no—
819C2×C4×C7—28no—
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—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—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7C22×D412yes—
854C2×C4×C7C22×D412yes—
855C2×C4×C7C22×D412yes—
856C2×C4×C7C2×#4112yes—
857C2×C4×C7C2×#4112yes—
858C2×C4×C7C2×#4112yes—
859C22⋊D7—44no—
860C22⋊D7—44no—
861C22⋊D7—44no—
862C22⋊D7—44no—
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—28no—
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—44no—
896C2×Dic7C22×D412yes—
897C2×Dic7C22×D412yes—
898C2×Dic7C22×D412yes—
899C2×Dic7C2×#4112yes—
900C2×Dic7C2×#4112yes—
901C2×Dic7C2×#4112yes—
902C2×Dic7C2×#4112yes—
903C2×Dic7C2×#4112yes—
904D28—44no—
905D28—44no—
906C4×D7—28no—
907C4×D7—28no—
908C4×D7—28no—
909C4×D7—28no—
910C4×D7—28no—
911C4×D7—44no—
912C4×D7—44no—
913C4×D7—44no—
914C4×D7—44no—
915Dic14—44no—
916C25—71no—
917C22×Q8—71no—
918C22×D4—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4C22×D711yescharacteristic
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—71no—
935C23×C4—71no—
936C23×C4—144no—
937C23×C4—144no—
938C23×C4—144no—
939C23×C4C22×D711yescharacteristic
940#126—24no—
941#126—144no—
942#125—144no—
943#124—144no—
944#123—144no—
945#123—144no—
946#123—144no—
947#123—144no—
948C22⋊Q8—144no—
949#121—144no—
950#120—144no—
951#120—144no—
952C4×Q8—144no—
953C4×D4—144no—
954C4×D4—144no—
955C4×D4—144no—
956C4×D4—144no—
957C4×D4—144no—
958C4×D4—144no—
959C4×D4—144no—
960#117—24no—
961#117—144no—
962#117—144no—
963#117—144no—
964#117—144no—
965#117—144no—
966#117—144no—
967#117—144no—
968#117—144no—
969#117—144no—
970#117—144no—
971#117—144no—
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—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—144no—
997C2×C4⋊C4—144no—
998C2×C4⋊C4C22×D711yescharacteristic
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×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—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×C22⋊C4C22×D711yescharacteristic
1056C2×C42—71no—
1057C2×C42—71no—
1058C2×C42—71no—
1059C2×C42—78no—
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—71no—
1071C2×C42—71no—
1072C2×C42—71no—
1073C2×C42—71no—
1074C2×C42—71no—
1075C2×C42—144no—
1076C2×C42C22×D711yescharacteristic
1077C2×C42C22×D711yescharacteristic
1078C2×C42C22×D711yescharacteristic
1079C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107#95C22×D711yescharacteristic
1108#95C22×D711yescharacteristic
1109#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112C22×C7—22no—
1113C22×C7—22no—
1114C22×C7—22no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7C23×D411yescharacteristic
1127C22×C7C22×#4111yescharacteristic
1128C22×C7C22×#4111yescharacteristic
1129C22×C7C22×#4111yescharacteristic
1130C22×C7C22×#4111yescharacteristic
1131C22×C7#58511yescharacteristic
1132C22×C7#58511yescharacteristic
1133C2×D7—22no—
1134C2×D7—22no—
1135C2×D7—22no—
1136C2×D7—22no—
1137C2×D7—22no—
1138C2×D7—22no—
1139C2×D7—22no—
1140C2×D7—22no—
1141C2×D7—22no—
1142C2×D7—416no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7#53214yes—
1155C4×C7—22no—
1156C4×C7—22no—
1157C4×C7—22no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—22no—
1161C4×C7—41no—
1162C4×C7—41no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168Dic7—22no—
1169Dic7—22no—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—41no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7#52514yes—
1181C24—71no—
1182C24—71no—
1183C24—71no—
1184C24—142no—
1185C24—142no—
1186C24—142no—
1187C24—142no—
1188C24—142no—
1189C24—281no—
1190C24—281no—
1191C24C23×D711yescharacteristic
1192C24C23×D711yescharacteristic
1193C2×Q8—142no—
1194C2×Q8—281no—
1195C2×Q8—281no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—142no—
1203C2×D4—142no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—71no—
1221C22×C4—74no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—74no—
1228C22×C4—74no—
1229C22×C4—74no—
1230C22×C4—74no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—71no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—1432no—
1252C22×C4—142no—
1253C22×C4—142no—
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—281no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4—281no—
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
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—41no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—142no—
1293C4⋊C4—142no—
1294C4⋊C4—142no—
1295C4⋊C4—142no—
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—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—74no—
1326C22⋊C4—74no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
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—
1360C42—22no—
1361C42—41no—
1362C42—41no—
1363C42—74no—
1364C42—74no—
1365C42—74no—
1366C42—142no—
1367C42—142no—
1368C42—142no—
1369C42—142no—
1370C42—142no—
1371C42—142no—
1372C42—142no—
1373C42—142no—
1374C42—142no—
1375C42—142no—
1376C42—142no—
1377C42—142no—
1378C42—142no—
1379C42—281no—
1380C42—281no—
1381C42D4×D714yes—
1382C2×C7—42no—
1383C2×C7—81no—
1384C2×C7C2×#52511yescharacteristic
1385C2×C7C2×#53211yescharacteristic
1386C2×C7#344911yescharacteristic
1387C2×C7#347511yescharacteristic
1388C2×C7#347511yescharacteristic
1389C2×C7#347511yescharacteristic
1390C2×C7#347511yescharacteristic
1391D7—24no—
1392D7—42no—
1393D7—81no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—72no—
1408C23—72no—
1409C23—72no—
1410C23—72no—
1411C23—148no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—284no—
1430C23—284no—
1431C23—284no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23D7×#4112yes—
1436C23C24×D711yescharacteristic
1437Q8—284no—
1438D4—44no—
1439D4—284no—
1440D4—284no—
1441D4—284no—
1442D4—284no—
1443D4—284no—
1444D4—284no—
1445C2×C4—28no—
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—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—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—72no—
1480C2×C4—72no—
1481C2×C4—72no—
1482C2×C4—72no—
1483C2×C4—72no—
1484C2×C4—72no—
1485C2×C4—72no—
1486C2×C4—72no—
1487C2×C4—148no—
1488C2×C4—148no—
1489C2×C4—148no—
1490C2×C4—148no—
1491C2×C4—148no—
1492C2×C4—148no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—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—284no—
1525C2×C4—284no—
1526C2×C4—284no—
1527C2×C4—284no—
1528C2×C4—284no—
1529C2×C4C2×D4×D712yes—
1530C2×C4C2×D4×D712yes—
1531C2×C4C2×D4×D712yes—
1532C2×C4D7×#4112yes—
1533C2×C4D7×#4112yes—
1534C2×C4D7×#4112yes—
1535C7#3487711yescharacteristic, complemented, Sylow
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—74no—
1551C22—142no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—142no—
1556C22—142no—
1557C22—142no—
1558C22—142no—
1559C22—142no—
1560C22—2816no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22C22×D4×D711yescharacteristic
1573C22C2×D7×#4111yescharacteristic
1574C22C2×D7×#4111yescharacteristic
1575C22C2×D7×#4111yescharacteristic
1576C22C2×D7×#4111yescharacteristic
1577C22#9061811yescharacteristic
1578C22#9062011yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—74no—
1593C4—142no—
1594C4—142no—
1595C4—142no—
1596C4—142no—
1597C4—142no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C2—42no—
1606C2—81no—
1607C2—144no—
1608C2—282no—
1609C2—561no—
1610C2D7×#52511yescharacteristic
1611C2D7×#53211yescharacteristic
1612C2#1174343111yescharacteristic
1613C2#1174385811yescharacteristic
1614C2#1174389411yescharacteristic
1615C2#1174394211yescharacteristic
1616C2#1174404711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2601C2
prime radical#11733899C2
hypercenter#2601D7
hypocenterC7#34877
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#90397C2semidirect
2. C2×D7×#117C2semidirect
3. C7×#2601C2semidirect
4. #11740556C2semidirect
5. #11739704C2semidirect
6. #11735391C2semidirect
7. #11735184C2semidirect
8. #11734860C2semidirect
9. #11734859C2semidirect
10. #11734727C2semidirect
11. #11734726C2semidirect
12. #11734554C2semidirect
13. #11734335C2semidirect
15. #11733734C2semidirect
16. #11733692C2semidirect
17. #11733406C2semidirect
18. #11733345C2semidirect
19. #11733339C2semidirect
20. #11733335C2semidirect
21. #11732898C2semidirect
22. #11732895C2semidirect
23. #11732895C2semidirect
24. #11732821C2semidirect
25. #11732385C2semidirect
26. #11732225C2semidirect
27. #11732104C2semidirect
28. #11731946C2semidirect
29. #11731824C2semidirect
30. #11731258C2semidirect
31. C4×#6455C2semidirect
33. C2×C7×#126C22semidirect
49. C2×#6455C22semidirect
52. C2×#6452C22semidirect
53. C2×#6450C22semidirect
54. C2×#6448C22semidirect
62. C2×(C22⋊D7)⋊C4C22semidirect
67. C2×#6440C22semidirect
68. C2×#6439C22semidirect
73. C7×#398C22semidirect
75. C7×#396C22semidirect
78. C7×#389C22semidirect
80. C7×#388C22semidirect
81. C7×#388C22semidirect
82. C7×#387C22semidirect
85. C4×C7×C4⋊C4C22semidirect
92. #89766C22semidirect
93. #89766C22semidirect
97. #89762C22semidirect
102. #89757C22semidirect
103. #89756C22semidirect
104. #89756C22semidirect
105. #89756C22semidirect
106. #89755C22semidirect
107. #89751C22semidirect
108. #89750C22semidirect
109. C4⋊C4×Dic7C22semidirect
110. C4⋊C4×Dic7C22semidirect
111. C4⋊C4×Dic7C22semidirect
112. C4⋊C4×Dic7C22semidirect
113. #89745C22semidirect
114. #89744C22semidirect
115. #89744C22semidirect
118. #89733C22semidirect
120. #89731C22semidirect
132. #89723C22semidirect
135. #89720C22semidirect
138. #89717C22semidirect
140. #89716C22semidirect
141. #89716C22semidirect
144. C22⋊C4×Dic7C22semidirect
145. C22⋊C4×Dic7C22semidirect
147. #89712C22semidirect
148. #89712C22semidirect
152. C4×C4⋊Dic7C22semidirect
153. #89705C22semidirect
154. C42×Dic7C22semidirect
155. C42×Dic7C22semidirect
156. #89700C22semidirect
160. #89442C22semidirect
161. #89442C22semidirect
163. #89441C22semidirect
171. #89438C22semidirect
172. #89438C22semidirect
178. #89432C22semidirect
179. #89430C22semidirect
180. #89429C22semidirect
181. #89428C22semidirect
182. #89425C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89420C22semidirect
186. #89420C22semidirect
187. #89419C22semidirect
188. #89419C22semidirect
353. C42×D7D4semidirect
395. #2601D7semidirect
621. C2×#126C2×D7semidirect
668. #398C2×D7semidirect
678. #396C2×D7semidirect
706. #389C2×D7semidirect
725. #388C2×D7semidirect
726. #388C2×D7semidirect
730. #387C2×D7semidirect
758. C4×C4⋊C4C2×D7semidirect
1535. C7#34877semidirect

Maximal subgroups

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

subgroupindex
C2×#903972
C2×D7×#1172
C7×#26012
#117405562
#117397042
#117353912
#117351842
#117348602
#117348592
#117347272
#117347262
#117345542
#117343352
#117338992
#117337342
#117336922
#117334062
#117333452
#117333392
#117333352
#117328982
#117328952
#117328212
#117323852
#117322252
#117321042
#117319462
#117318242
#117312582
C4×#64552
#348777