Finite Group Databasebeta

← #13526787

Subgroups — #13526787

Order 1792.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90398C211yesmaximal, characteristic, complemented
2C2×#90304C211yesmaximal, characteristic, complemented
3C7×#2559C211yesmaximal, characteristic, complemented
4#11740531C211yesmaximal, characteristic, complemented
5#11740104C211yesmaximal, characteristic, complemented
6#11735792C211yesmaximal, characteristic, complemented
7#11735678C211yesmaximal, characteristic, complemented
8#11734560C211yesmaximal, characteristic, complemented
9#11734559C211yesmaximal, characteristic, complemented
10#11734443C211yesmaximal, characteristic, complemented
11#11734442C211yesmaximal, characteristic, complemented
12#11734439C211yesmaximal, characteristic, complemented
13#11734370C211yesmaximal, characteristic, complemented
14#11733899C211yesmaximal, characteristic, complemented
15#11733871C211yesmaximal, characteristic, complemented
16#11733689C211yesmaximal, characteristic, complemented
17#11733636C211yesmaximal, characteristic, complemented
18#11733334C211yesmaximal, characteristic, complemented
19#11733272C211yesmaximal, characteristic, complemented
20D7×#388C211yesmaximal, characteristic, complemented
21#11733010C211yesmaximal, characteristic, complemented
22#11732347C211yesmaximal, characteristic, complemented
23#11732346C211yesmaximal, characteristic, complemented
24#11732317C211yesmaximal, characteristic, complemented
25#11732314C211yesmaximal, characteristic, complemented
26#11732038C211yesmaximal, characteristic, complemented
27#11731876C211yesmaximal, characteristic, complemented
28#11731047C211yesmaximal, characteristic, complemented
29C4×#6447C211yesmaximal, characteristic, complemented
30#11730982C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C2×C7×#126C2211yescharacteristic, complemented
33C2×C7×#121C2211yescharacteristic
34C2×#6502C2211yescharacteristic
35C2×#6502C2211yescharacteristic
36C2×#6501C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6499C2211yescharacteristic
40C2×#6498C2211yescharacteristic
41C2×#6492C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic, complemented
45C22×C4×Dic7C2211yescharacteristic, complemented
46#90398—28no—
47#90304—28no—
48C2×#6461C2211yescharacteristic
49C2×#6461C2211yescharacteristic, complemented
50C2×#6460C2211yescharacteristic
51C2×#6459C2211yescharacteristic
52C2×#6459C2211yescharacteristic, complemented
53C2×#6457C2211yescharacteristic
54C2×D7×C4⋊C4C2211yescharacteristic
55C2×#6453C2211yescharacteristic, complemented
56C2×#6449C2211yescharacteristic, complemented
57C2×#6448C2211yescharacteristic
58C2×#6448C2211yescharacteristic
59C2×#6447C2211yescharacteristic
60C2×#6447C2211yescharacteristic
61C2×#6446C2211yescharacteristic
62C2×#6446C2211yescharacteristic
63C2×#6446C2211yescharacteristic, complemented
64C2×#6445C2211yescharacteristic
65C2×(C22⋊D7)⋊C4C2211yescharacteristic
66C2×(C22⋊D7)⋊C4C2211yescharacteristic
67C2×D7×C22⋊C4C2211yescharacteristic
68C2×D7×C22⋊C4C2211yescharacteristic
69C2×D7×C22⋊C4C2211yescharacteristic
70C2×#6442C2211yescharacteristic
71C2×#6441C2211yescharacteristic, complemented
72C2×C4×D28C2211yescharacteristic
73C2×C42×D7C2211yescharacteristic
74C2×#6433C2211yescharacteristic, complemented
75C7×#400C2211yescharacteristic, complemented
76C7×#394C2211yescharacteristic
77C7×#394C2211yescharacteristic
78C7×#394C2211yescharacteristic, complemented
79C7×#390C2211yescharacteristic
80C7×#389C2211yescharacteristic, complemented
81C7×#388C2211yescharacteristic
82C7×#388C2211yescharacteristic
83C7×#386C2211yescharacteristic
84C7×#386C2211yescharacteristic, complemented
85C7×#385C2211yescharacteristic, complemented
86C4×C7×C22⋊C4C2211yescharacteristic, complemented
87C4×C7×C22⋊C4C2211yescharacteristic, complemented
88#89995C2211yescharacteristic
89#89995C2211yescharacteristic, complemented
90#89994C2211yescharacteristic
91#89993C2211yescharacteristic
92#89992C2211yescharacteristic, complemented
93#89985C2211yescharacteristic
94#89985C2211yescharacteristic, complemented
95#89982C2211yescharacteristic, complemented
96#89764C2211yescharacteristic
97#89762C2211yescharacteristic
98#89762C2211yescharacteristic
99#89762C2211yescharacteristic, complemented
100#89761C2211yescharacteristic
101#89761C2211yescharacteristic
102#89760C2211yescharacteristic
103#89760C2211yescharacteristic
104#89757C2211yescharacteristic, complemented
105#89756C2211yescharacteristic, complemented
106#89755C2211yescharacteristic, complemented
107#89751C2211yescharacteristic, complemented
108#89751C2211yescharacteristic, complemented
109#89750C2211yescharacteristic, complemented
110#89746C2211yescharacteristic, complemented
111#89745C2211yescharacteristic, complemented
112#89733C2211yescharacteristic
113#89732C2211yescharacteristic
114#89732C2211yescharacteristic
115#89731C2211yescharacteristic
116#89731C2211yescharacteristic
117#89731C2211yescharacteristic, complemented
118#89730C2211yescharacteristic
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic, complemented
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89727C2211yescharacteristic
127#89725C2211yescharacteristic, complemented
128#89724C2211yescharacteristic, complemented
129#89723C2211yescharacteristic
130#89723C2211yescharacteristic
131#89723C2211yescharacteristic
132#89723C2211yescharacteristic, complemented
133#89723C2211yescharacteristic, complemented
134#89721C2211yescharacteristic
135#89720C2211yescharacteristic
136#89720C2211yescharacteristic, complemented
137#89719C2211yescharacteristic
138#89717C2211yescharacteristic
139#89716C2211yescharacteristic
140#89716C2211yescharacteristic
141#89716C2211yescharacteristic
142#89716C2211yescharacteristic, complemented
143#89716C2211yescharacteristic, complemented
144#89716C2211yescharacteristic, complemented
145#89714C2211yescharacteristic, complemented
146C22⋊C4×Dic7C2211yescharacteristic, complemented
147C22⋊C4×Dic7C2211yescharacteristic, complemented
148#89712C2211yescharacteristic
149#89712C2211yescharacteristic
150#89711C2211yescharacteristic
151C4×(C2×D7)⋊C4C2211yescharacteristic
152C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
153C4×Dic7⋊C4C2211yescharacteristic, complemented
154C4×Dic7⋊C4C2211yescharacteristic, complemented
155C42×Dic7C2211yescharacteristic, complemented
156#89701C2211yescharacteristic, complemented
157#89448C2211yescharacteristic
158#89448C2211yescharacteristic
159#89447C2211yescharacteristic, complemented
160#89446C2211yescharacteristic
161#89445C2211yescharacteristic, complemented
162#89442C2211yescharacteristic
163#89442C2211yescharacteristic
164#89442C2211yescharacteristic
165#89442C2211yescharacteristic, complemented
166#89441C2211yescharacteristic
167#89441C2211yescharacteristic, complemented
168#89441C2211yescharacteristic, complemented
169#89439C2211yescharacteristic
170#89438C2211yescharacteristic
171#89438C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89436C2211yescharacteristic
176D7×#95C2211yescharacteristic
177D7×#95C2211yescharacteristic
178#89430C2211yescharacteristic, complemented
179#89429C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89422C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#35009—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#126—24no—
217C7×#121—24no—
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×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊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×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254#6502—24no—
255#6502—42no—
256#6501—24no—
257#6500—24no—
258#6500—24no—
259#6499—24no—
260#6498—24no—
261#6492—24no—
262C4×C22⋊D7—24no—
263C4×C22⋊D7—24no—
264C4×C22⋊D7—42no—
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×C4×Dic7—42no—
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327#6461—24no—
328#6461—24no—
329#6460—24no—
330#6459—24no—
331#6459—24no—
332#6457—24no—
333D7×C4⋊C4—24no—
334#6453—24no—
335#6449—24no—
336#6448—24no—
337#6448—42no—
338#6447—24no—
339#6447—24no—
340#6446—24no—
341#6446—24no—
342#6446—24no—
343#6445—24no—
344(C22⋊D7)⋊C4—24no—
345(C22⋊D7)⋊C4D418yescomplemented
346D7×C22⋊C4—24no—
347D7×C22⋊C4—24no—
348D7×C22⋊C4—42no—
349#6442—24no—
350#6441—24no—
351C4×D28—24no—
352C42×D7—42no—
353#6433—24no—
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×#539—71no—
387C2×#538—71no—
388#2861—71no—
389#2860—71no—
390#2854—71no—
391#2850—71no—
392#2664—71no—
393#2663—71no—
394#2662—71no—
395#2661—71no—
396#2560—71no—
397#2559D711yescharacteristic, complemented
398#2558—71no—
399#2557—71no—
400#2549—71no—
401#2543—71no—
402#2539—71no—
403#2534—71no—
404#2521—71no—
405#2519—71no—
406#2488—71no—
407#2472—71no—
408#2464—71no—
409#2461—71no—
410#2425—71no—
411#2424—71no—
412#2322—71no—
413#2321—71no—
414C4×#121—71no—
415C2×#388—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C24×C7C2411yescharacteristic
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C2×C7×D4—41no—
434C2×C7×D4—41no—
435C2×C7×D4—41no—
436C2×C7×D4—41no—
437C2×C7×D4—41no—
438C2×C7×D4—41no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7C2×D414yes—
478C22×Dic7—22no—
479C22×Dic7—22no—
480C22×Dic7—41no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7C2×D414yes—
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×D28—22no—
498C2×D28—22no—
499C2×D28—22no—
500C2×D28—22no—
501C2×D28—41no—
502C2×D28—41no—
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—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7C2×D414yes—
523C2×C4×D7#4114yes—
524C2×Dic14—22no—
525C2×Dic14—22no—
526C2×Dic14—41no—
527C2×Dic14—41no—
528C2×Dic14—41no—
529C2×Dic14—41no—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—22no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—41no—
535C7×C4⋊C4—41no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—22no—
543C7×C22⋊C4—22no—
544C7×C22⋊C4—41no—
545C7×C22⋊C4—41no—
546C7×C22⋊C4—41no—
547C7×C22⋊C4—41no—
548C7×C22⋊C4C2×D414yes—
549C42×C7—22no—
550C42×C7—41no—
551C42×C7—41no—
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—22no—
561C22⋊Dic7—22no—
562C22⋊Dic7—22no—
563C22⋊Dic7—22no—
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—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4C2×D414yes—
590(C2×D7)⋊C4#4114yes—
591C4⋊Dic7—22no—
592C4⋊Dic7—22no—
593C4⋊Dic7—22no—
594C4⋊Dic7—22no—
595C4⋊Dic7—22no—
596C4⋊Dic7—22no—
597C4⋊Dic7—22no—
598Dic7⋊C4—22no—
599Dic7⋊C4—22no—
600Dic7⋊C4—22no—
601Dic7⋊C4—22no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—41no—
611Dic7⋊C4—41no—
612Dic7⋊C4—41no—
613Dic7⋊C4—41no—
614Dic7⋊C4C2×D414yes—
615C4×Dic7—22no—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—22no—
621C4×Dic7—41no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7C2×D414yes—
627#539—148no—
628#538—148no—
629C2×#126—71no—
630C2×#126—71no—
631C2×#126—71no—
632C2×#126C2×D711yescharacteristic, complemented
633C2×#125—71no—
634C2×#125—71no—
635C2×#124—71no—
636C2×#124—71no—
637C2×#124—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123—71no—
645C2×C22⋊Q8—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121C2×D711yescharacteristic
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×C4×D4—71no—
659C2×C4×D4—71no—
660C2×C4×D4—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C22×C4⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667C22×C22⋊C4—71no—
668C22×C42—71no—
669C22×C42—71no—
670#400—71no—
671#400C2×D711yescharacteristic, complemented
672#399—71no—
673#399—71no—
674#398—71no—
675#398—71no—
676#398—71no—
677#398—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#396—71no—
683#396—71no—
684#396—71no—
685#396—71no—
686#395—71no—
687#395—71no—
688#394—71no—
689#394—71no—
690#394—71no—
691#394—71no—
692#394—71no—
693#394C2×D711yescharacteristic
694#394C2×D711yescharacteristic
695#394C2×D711yescharacteristic, complemented
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392—71no—
701#392—71no—
702#391—71no—
703#391—71no—
704#391—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#390—71no—
710#390—71no—
711#390—71no—
712#390—71no—
713#390C2×D711yescharacteristic
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389—71no—
719#389C2×D711yescharacteristic, complemented
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#388—71no—
743#388—71no—
744#388C2×D711yescharacteristic
745#388C2×D711yescharacteristic
746#387—71no—
747#387—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386—71no—
757#386—71no—
758#386C2×D711yescharacteristic
759#386C2×D711yescharacteristic, complemented
760#385—71no—
761#385—71no—
762#385—71no—
763#385C2×D711yescharacteristic, complemented
764#382—71no—
765#381—71no—
766#380—71no—
767#380—71no—
768#379—71no—
769C4×C4⋊C4—71no—
770C4×C4⋊C4—71no—
771C4×C4⋊C4—71no—
772C4×C4⋊C4—71no—
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4C2×D711yescharacteristic, complemented
780C4×C22⋊C4C2×D711yescharacteristic, complemented
781C2×#95—71no—
782C2×#95—71no—
783C43—71no—
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×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7C22×D412yes—
805C23×C7C2511yescharacteristic
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—44no—
825C22×D7—44no—
826C22×D7—44no—
827C22×D7—82no—
828C22×D7—82no—
829C22×D7—82no—
830C22×D7—82no—
831C22×D7C22×D412yes—
832C22×D7C2×#4112yes—
833C22×D7C2×#4112yes—
834C7×D4—82no—
835C7×D4—82no—
836C7×D4—82no—
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×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—44no—
870C2×C4×C7—82no—
871C2×C4×C7C22×D412yes—
872C2×C4×C7C22×D412yes—
873C2×C4×C7C2×#4112yes—
874C2×C4×C7C2×#4112yes—
875C22⋊D7—28no—
876C22⋊D7—44no—
877C22⋊D7—44no—
878C22⋊D7—82no—
879C22⋊D7—82no—
880C22⋊D7—82no—
881C22⋊D7—82no—
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×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—44no—
916C2×Dic7—44no—
917C2×Dic7C22×D412yes—
918C2×Dic7C22×D412yes—
919C2×Dic7C22×D412yes—
920C2×Dic7C2×#4112yes—
921C2×Dic7C2×#4112yes—
922C2×Dic7H(5,𝔽2)12yes—
923D28—44no—
924D28—82no—
925C4×D7—44no—
926C4×D7—44no—
927C4×D7—44no—
928C4×D7—44no—
929C4×D7—82no—
930C4×D7—82no—
931C4×D7—82no—
932Dic14—82no—
933Dic14—82no—
934C25—71no—
935C22×Q8—71no—
936C22×Q8—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4C22×D711yescharacteristic
947C22×D4C22×D711yescharacteristic
948C22×D4C22×D711yescharacteristic
949C23×C4—71no—
950C23×C4—71no—
951C23×C4—71no—
952C23×C4—71no—
953C23×C4—71no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4C22×D711yescharacteristic
959C23×C4C22×D711yescharacteristic
960#126—24no—
961#126—144no—
962#126—144no—
963#126—144no—
964#125—144no—
965#125—144no—
966#124—144no—
967#124—144no—
968#124—282no—
969#123—144no—
970#123—144no—
971#123—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976C22⋊Q8—144no—
977C22⋊Q8—144no—
978C22⋊Q8—144no—
979C22⋊Q8—144no—
980#121—24no—
981#121—144no—
982#121—144no—
983#121—144no—
984#121—144no—
985#121—282no—
986#120—144no—
987#120—144no—
988#120—144no—
989C4×D4—78no—
990C4×D4—144no—
991C4×D4—144no—
992C4×D4—144no—
993C4×D4—144no—
994C4×D4—282no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—144no—
1020C2×C4⋊C4C22×D711yescharacteristic
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
1025C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—144no—
1066C2×C22⋊C4—144no—
1067C2×C22⋊C4—282no—
1068C2×C22⋊C4C22×D711yescharacteristic
1069C2×C22⋊C4C22×D711yescharacteristic
1070C2×C22⋊C4C22×D711yescharacteristic
1071C2×C22⋊C4C22×D711yescharacteristic
1072C2×C22⋊C4C22×D711yescharacteristic
1073C2×C22⋊C4C22×D711yescharacteristic
1074C2×C22⋊C4C22×D711yescharacteristic
1075C2×C22⋊C4C22×D711yescharacteristic
1076C2×C22⋊C4C22×D711yescharacteristic
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C42—71no—
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—71no—
1090C2×C42—71no—
1091C2×C42—71no—
1092C2×C42—71no—
1093C2×C42—282no—
1094C2×C42—282no—
1095C2×C42C22×D711yescharacteristic
1096C2×C42C22×D711yescharacteristic
1097C2×C42C22×D711yescharacteristic
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—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95C22×D711yescharacteristic
1123#95C22×D711yescharacteristic
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130C22×C7—22no—
1131C22×C7—22no—
1132C22×C7—22no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7—41no—
1147C22×C7—41no—
1148C22×C7—41no—
1149C22×C7—41no—
1150C22×C7—41no—
1151C22×C7C23×D411yescharacteristic
1152C22×C7C22×#4111yescharacteristic
1153C22×C7C22×#4111yescharacteristic
1154C22×C7C2×H(5,𝔽2)11yescharacteristic
1155C22×C7#58511yescharacteristic
1156C22×C7#58511yescharacteristic
1157C22×C7#58511yescharacteristic
1158C2×D7—22no—
1159C2×D7—22no—
1160C2×D7—22no—
1161C2×D7—22no—
1162C2×D7—22no—
1163C2×D7—22no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—88no—
1179C2×D7#53214yes—
1180C4×C7—22no—
1181C4×C7—22no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—41no—
1185C4×C7—41no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192Dic7—22no—
1193Dic7—22no—
1194Dic7—22no—
1195Dic7—22no—
1196Dic7—22no—
1197Dic7—22no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205C24—71no—
1206C24—71no—
1207C24—71no—
1208C24—142no—
1209C24—142no—
1210C24—142no—
1211C24—281no—
1212C24—281no—
1213C24—281no—
1214C24—281no—
1215C24C23×D711yescharacteristic
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C2×Q8—142no—
1219C2×Q8—142no—
1220C2×Q8—281no—
1221C2×Q8—281no—
1222C2×Q8—281no—
1223C2×Q8—281no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—74no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—142no—
1243C2×D4—142no—
1244C2×D4—142no—
1245C2×D4—142no—
1246C2×D4—142no—
1247C2×D4—142no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—71no—
1267C22×C4—71no—
1268C22×C4—71no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—71no—
1272C22×C4—74no—
1273C22×C4—74no—
1274C22×C4—74no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—142no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—281no—
1293C22×C4—281no—
1294C22×C4—281no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4C23×D711yescharacteristic
1307C22×C4C23×D711yescharacteristic
1308C22×C4C23×D711yescharacteristic
1309C22×C4C23×D711yescharacteristic
1310C22×C4C23×D711yescharacteristic
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—74no—
1325C4⋊C4—142no—
1326C4⋊C4—142no—
1327C4⋊C4—142no—
1328C4⋊C4—142no—
1329C4⋊C4—142no—
1330C4⋊C4—142no—
1331C4⋊C4—142no—
1332C4⋊C4—142no—
1333C4⋊C4—142no—
1334C4⋊C4—142no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—142no—
1343C4⋊C4—142no—
1344C4⋊C4—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C4⋊C4—281no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—74no—
1361C22⋊C4—74no—
1362C22⋊C4—142no—
1363C22⋊C4—142no—
1364C22⋊C4—142no—
1365C22⋊C4—142no—
1366C22⋊C4—142no—
1367C22⋊C4—142no—
1368C22⋊C4—142no—
1369C22⋊C4—142no—
1370C22⋊C4—142no—
1371C22⋊C4—142no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—142no—
1387C22⋊C4—142no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
1390C22⋊C4—142no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4D4×D714yes—
1400C42—22no—
1401C42—41no—
1402C42—41no—
1403C42—74no—
1404C42—142no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—142no—
1409C42—142no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—42no—
1416C2×C7—81no—
1417C2×C7—81no—
1418C2×C7C2×#53211yescharacteristic
1419C2×C7#345511yescharacteristic
1420C2×C7#345911yescharacteristic
1421C2×C7#349611yescharacteristic
1422C2×C7#350011yescharacteristic
1423C2×C7#351311yescharacteristic
1424C2×C7#352111yescharacteristic
1425D7—24no—
1426D7—81no—
1427D7—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—72no—
1449C23—72no—
1450C23—72no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—284no—
1470C23—284no—
1471C23—284no—
1472C23—562no—
1473C23—562no—
1474C23—562no—
1475C23—562no—
1476C23C2×D4×D712yes—
1477C23C24×D711yescharacteristic
1478Q8—562no—
1479Q8—562no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—148no—
1484D4—284no—
1485D4—284no—
1486D4—284no—
1487D4—562no—
1488D4—562no—
1489D4—562no—
1490D4—562no—
1491D4—562no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—72no—
1526C2×C4—72no—
1527C2×C4—72no—
1528C2×C4—72no—
1529C2×C4—72no—
1530C2×C4—72no—
1531C2×C4—82no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—284no—
1566C2×C4—284no—
1567C2×C4—284no—
1568C2×C4—284no—
1569C2×C4—284no—
1570C2×C4—284no—
1571C2×C4—562no—
1572C2×C4—562no—
1573C2×C4—562no—
1574C2×C4C2×D4×D712yes—
1575C2×C4C2×D4×D712yes—
1576C2×C4D7×#4112yes—
1577C2×C4D7×#4112yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—74no—
1601C22—142no—
1602C22—142no—
1603C22—142no—
1604C22—142no—
1605C22—142no—
1606C22—142no—
1607C22—281no—
1608C22—281no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22—568no—
1622C22C22×D4×D711yescharacteristic
1623C22C2×D7×#4111yescharacteristic
1624C22C2×D7×#4111yescharacteristic
1625C22#9061611yescharacteristic
1626C22#9061611yescharacteristic
1627C22D7×H(5,𝔽2)11yescharacteristic
1628C22#9061811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—142no—
1642C4—142no—
1643C4—142no—
1644C4—142no—
1645C4—142no—
1646C4—142no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—144no—
1658C2—561no—
1659C2—561no—
1660C2#1174321411yescharacteristic
1661C2D7×#53211yescharacteristic
1662C2#1174345611yescharacteristic
1663C2#1174370011yescharacteristic
1664C2#1174373311yescharacteristic
1665C2#1174395111yescharacteristic
1666C2#1174395711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2559C2
hypercenter#2559D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2559

Complements

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

NH ≅ G/Ntype
1. C2×#90398C2semidirect
2. C2×#90304C2semidirect
3. C7×#2559C2semidirect
4. #11740531C2semidirect
5. #11740104C2semidirect
6. #11735792C2semidirect
7. #11735678C2semidirect
8. #11734560C2semidirect
9. #11734559C2semidirect
10. #11734443C2semidirect
11. #11734442C2semidirect
12. #11734439C2semidirect
13. #11734370C2semidirect
14. #11733899C2semidirect
15. #11733871C2semidirect
16. #11733689C2semidirect
17. #11733636C2semidirect
18. #11733334C2semidirect
19. #11733272C2semidirect
20. D7×#388C2semidirect
21. #11733010C2semidirect
22. #11732347C2semidirect
23. #11732346C2semidirect
24. #11732317C2semidirect
25. #11732314C2semidirect
26. #11732038C2semidirect
27. #11731876C2semidirect
28. #11731047C2semidirect
29. C4×#6447C2semidirect
30. #11730982C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
32. C2×C7×#126C22semidirect
44. C2×C4×C22⋊D7C22semidirect
45. C22×C4×Dic7C22semidirect
49. C2×#6461C22semidirect
52. C2×#6459C22semidirect
55. C2×#6453C22semidirect
56. C2×#6449C22semidirect
63. C2×#6446C22semidirect
71. C2×#6441C22semidirect
74. C2×#6433C22semidirect
75. C7×#400C22semidirect
78. C7×#394C22semidirect
80. C7×#389C22semidirect
84. C7×#386C22semidirect
85. C7×#385C22semidirect
86. C4×C7×C22⋊C4C22semidirect
87. C4×C7×C22⋊C4C22semidirect
89. #89995C22semidirect
92. #89992C22semidirect
94. #89985C22semidirect
95. #89982C22semidirect
99. #89762C22semidirect
104. #89757C22semidirect
105. #89756C22semidirect
106. #89755C22semidirect
107. #89751C22semidirect
108. #89751C22semidirect
109. #89750C22semidirect
110. #89746C22semidirect
111. #89745C22semidirect
117. #89731C22semidirect
122. #89729C22semidirect
127. #89725C22semidirect
128. #89724C22semidirect
132. #89723C22semidirect
133. #89723C22semidirect
136. #89720C22semidirect
142. #89716C22semidirect
143. #89716C22semidirect
144. #89716C22semidirect
145. #89714C22semidirect
146. C22⋊C4×Dic7C22semidirect
147. C22⋊C4×Dic7C22semidirect
152. C4×(C2×D7)⋊C4C22semidirect
153. C4×Dic7⋊C4C22semidirect
154. C4×Dic7⋊C4C22semidirect
155. C42×Dic7C22semidirect
156. #89701C22semidirect
159. #89447C22semidirect
161. #89445C22semidirect
165. #89442C22semidirect
167. #89441C22semidirect
168. #89441C22semidirect
178. #89430C22semidirect
179. #89429C22semidirect
180. #89429C22semidirect
181. #89425C22semidirect
182. #89422C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89419C22semidirect
186. #89419C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
345. (C22⋊D7)⋊C4D4semidirect
397. #2559D7semidirect
632. C2×#126C2×D7semidirect
671. #400C2×D7semidirect
695. #394C2×D7semidirect
719. #389C2×D7semidirect
759. #386C2×D7semidirect
763. #385C2×D7semidirect
779. C4×C22⋊C4C2×D7semidirect
780. C4×C22⋊C4C2×D7semidirect
1578. C7#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#903982
C2×#903042
C7×#25592
#117405312
#117401042
#117357922
#117356782
#117345602
#117345592
#117344432
#117344422
#117344392
#117343702
#117338992
#117338712
#117336892
#117336362
#117333342
#117332722
D7×#3882
#117330102
#117323472
#117323462
#117323172
#117323142
#117320382
#117318762
#117310472
C4×#64472
#117309822
C4×(C22⋊D7)⋊C42
#350097