Finite Group Databasebeta

← #13526815

Subgroups — #13526815

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×#90348C211yesmaximal, characteristic, complemented
2C2×#90329C211yesmaximal, characteristic, complemented
3C7×#2461C211yesmaximal, characteristic, complemented
4#11740453C211yesmaximal, characteristic, complemented
5#11740410C211yesmaximal, characteristic, complemented
6#11740308C211yesmaximal, characteristic, complemented
7#11740228C211yesmaximal, characteristic, complemented
8#11739858C211yesmaximal, characteristic, complemented
9C4×#6501C211yesmaximal, characteristic, complemented
10#11734866C211yesmaximal, characteristic, complemented
11#11734790C211yesmaximal, characteristic, complemented
12#11734698C211yesmaximal, characteristic, complemented
13#11734655C211yesmaximal, characteristic, complemented
14#11734565C211yesmaximal, characteristic, complemented
15#11734441C211yesmaximal, characteristic, complemented
16#11734203C211yesmaximal, characteristic, complemented
17#11734153C211yesmaximal, characteristic, complemented
18#11733887C211yesmaximal, characteristic, complemented
19#11733870C211yesmaximal, characteristic, complemented
20#11733405C211yesmaximal, characteristic, complemented
21#11733320C211yesmaximal, characteristic, complemented
22#11733313C211yesmaximal, characteristic, complemented
23#11733292C211yesmaximal, characteristic, complemented
24D7×#388C211yesmaximal, characteristic, complemented
25#11733266C211yesmaximal, characteristic, complemented
26#11732321C211yesmaximal, characteristic, complemented
27#11732202C211yesmaximal, characteristic, complemented
28#11732038C211yesmaximal, characteristic, complemented
29#11731921C211yesmaximal, characteristic, complemented
30#11731143C211yesmaximal, characteristic, complemented
31C4×#6456C211yesmaximal, characteristic, complemented
32C2×C7×#124C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic, complemented
35C2×C4×C7×D4C2211yescharacteristic, complemented
36C2×#6509C2211yescharacteristic
37C2×#6509C2211yescharacteristic, complemented
38C2×#6501C2211yescharacteristic
39C2×#6501C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×#6500C2211yescharacteristic
42C2×#6493C2211yescharacteristic
43C2×#6492C2211yescharacteristic, complemented
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46#90348—28no—
47#90329—28no—
48C2×#6461C2211yescharacteristic
49C2×#6461C2211yescharacteristic, complemented
50C2×#6460C2211yescharacteristic
51C2×#6457C2211yescharacteristic
52C2×#6457C2211yescharacteristic
53C2×#6456C2211yescharacteristic
54C2×#6456C2211yescharacteristic
55C2×D7×C4⋊C4C2211yescharacteristic
56C2×#6452C2211yescharacteristic, complemented
57C2×#6452C2211yescharacteristic, complemented
58C2×#6448C2211yescharacteristic
59C2×#6448C2211yescharacteristic
60C2×#6447C2211yescharacteristic
61C2×#6447C2211yescharacteristic
62C2×#6447C2211yescharacteristic
63C2×#6446C2211yescharacteristic
64C2×#6446C2211yescharacteristic
65C2×#6446C2211yescharacteristic, complemented
66C2×#6445C2211yescharacteristic
67C2×D7×C22⋊C4C2211yescharacteristic
68C2×D7×C22⋊C4C2211yescharacteristic
69C2×D7×C22⋊C4C2211yescharacteristic
70C2×#6442C2211yescharacteristic
71C2×#6442C2211yescharacteristic, complemented
72C2×C4×D28C2211yescharacteristic
73C2×C42×D7C2211yescharacteristic
74C2×C42×D7C2211yescharacteristic, complemented
75C7×#396C2211yescharacteristic
76C7×#395C2211yescharacteristic, complemented
77C7×#394C2211yescharacteristic, complemented
78C7×#392C2211yescharacteristic
79C7×#390C2211yescharacteristic
80C7×#388C2211yescharacteristic
81C7×#388C2211yescharacteristic, complemented
82C7×#388C2211yescharacteristic, complemented
83C7×#386C2211yescharacteristic
84C7×#385C2211yescharacteristic, complemented
85C4×C7×C4⋊C4C2211yescharacteristic, complemented
86#90003C2211yescharacteristic
87#90002C2211yescharacteristic, complemented
88#89995C2211yescharacteristic
89#89995C2211yescharacteristic
90#89995C2211yescharacteristic, complemented
91#89994C2211yescharacteristic
92#89993C2211yescharacteristic
93#89993C2211yescharacteristic
94#89993C2211yescharacteristic
95#89993C2211yescharacteristic, complemented
96#89985C2211yescharacteristic
97#89982C2211yescharacteristic, complemented
98C4×C22⋊Dic7C2211yescharacteristic, complemented
99C4×C22⋊Dic7C2211yescharacteristic, complemented
100#89766C2211yescharacteristic
101#89763C2211yescharacteristic
102#89763C2211yescharacteristic
103#89762C2211yescharacteristic
104#89762C2211yescharacteristic
105#89761C2211yescharacteristic
106#89759C2211yescharacteristic
107#89758C2211yescharacteristic, complemented
108#89757C2211yescharacteristic, complemented
109#89756C2211yescharacteristic, complemented
110#89756C2211yescharacteristic, complemented
111#89755C2211yescharacteristic, complemented
112#89750C2211yescharacteristic, complemented
113C4⋊C4×Dic7C2211yescharacteristic, complemented
114C4⋊C4×Dic7C2211yescharacteristic, complemented
115#89745C2211yescharacteristic, complemented
116#89745C2211yescharacteristic, complemented
117#89744C2211yescharacteristic, complemented
118#89733C2211yescharacteristic
119#89733C2211yescharacteristic
120#89733C2211yescharacteristic
121#89733C2211yescharacteristic, complemented
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89729C2211yescharacteristic
126#89728C2211yescharacteristic
127#89728C2211yescharacteristic
128#89728C2211yescharacteristic
129#89728C2211yescharacteristic
130#89728C2211yescharacteristic
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic, complemented
133#89728C2211yescharacteristic, complemented
134#89728C2211yescharacteristic, complemented
135#89727C2211yescharacteristic
136#89725C2211yescharacteristic, complemented
137#89724C2211yescharacteristic
138#89723C2211yescharacteristic
139#89723C2211yescharacteristic
140#89723C2211yescharacteristic, complemented
141#89723C2211yescharacteristic, complemented
142#89721C2211yescharacteristic
143#89720C2211yescharacteristic
144#89720C2211yescharacteristic, complemented
145#89719C2211yescharacteristic, complemented
146#89717C2211yescharacteristic
147#89717C2211yescharacteristic
148#89717C2211yescharacteristic, complemented
149#89717C2211yescharacteristic, complemented
150#89716C2211yescharacteristic
151#89716C2211yescharacteristic
152#89716C2211yescharacteristic
153#89716C2211yescharacteristic, complemented
154#89716C2211yescharacteristic, complemented
155#89716C2211yescharacteristic, complemented
156#89712C2211yescharacteristic
157#89712C2211yescharacteristic
158#89712C2211yescharacteristic
159C4×(C2×D7)⋊C4C2211yescharacteristic
160C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
161#89708C2211yescharacteristic, complemented
162C4×C4⋊Dic7C2211yescharacteristic, complemented
163C42×Dic7C2211yescharacteristic, complemented
164#89700C2211yescharacteristic, complemented
165#89449C2211yescharacteristic
166#89446C2211yescharacteristic, complemented
167#89446C2211yescharacteristic, complemented
168#89442C2211yescharacteristic
169#89442C2211yescharacteristic
170#89441C2211yescharacteristic
171#89441C2211yescharacteristic
172#89440C2211yescharacteristic
173#89439C2211yescharacteristic, complemented
174#89438C2211yescharacteristic
175#89438C2211yescharacteristic
176#89438C2211yescharacteristic, complemented
177#89438C2211yescharacteristic, complemented
178#89437C2211yescharacteristic
179#89436C2211yescharacteristic
180D7×#95C2211yescharacteristic
181D7×#95C2211yescharacteristic
182#89433C2211yescharacteristic, complemented
183#89432C2211yescharacteristic, complemented
184#89428C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#35009—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#124—42no—
217C7×#123—24no—
218C7×C22⋊Q8—24no—
219C4×C7×D4—42no—
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×C4⋊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×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242C2×C42×C7C2311yescharacteristic
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
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259#6509—24no—
260#6509—24no—
261#6501—24no—
262#6501—24no—
263#6500—24no—
264#6500—24no—
265#6493—24no—
266#6492—24no—
267C4×C22⋊D7—24no—
268C4×C22⋊D7—24no—
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×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
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#6457—24no—
331#6457—24no—
332#6456—24no—
333#6456D418yescomplemented
334D7×C4⋊C4—24no—
335#6452—24no—
336#6452—24no—
337#6448—24no—
338#6448—24no—
339#6447—24no—
340#6447—24no—
341#6447—42no—
342#6446—24no—
343#6446—24no—
344#6446—24no—
345#6445—24no—
346D7×C22⋊C4—24no—
347D7×C22⋊C4—24no—
348D7×C22⋊C4—42no—
349#6442—24no—
350#6442—24no—
351C4×D28—24no—
352C42×D7—42no—
353C42×D7—42no—
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#2559—71no—
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#2461D711yescharacteristic, complemented
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×Q8—22no—
431C2×C7×Q8—41no—
432C2×C7×Q8—41no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—22no—
436C2×C7×D4—41no—
437C2×C7×D4—41no—
438C2×C7×D4—41no—
439C2×C7×D4—41no—
440C2×C7×D4—41no—
441C2×C7×D4—41no—
442C22×C4×C7—22no—
443C22×C4×C7—22no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7—41no—
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
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
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—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C2×D28—22no—
495C2×D28—22no—
496C2×D28—22no—
497C2×D28—41no—
498C2×D28—41no—
499C2×D28C2×D414yes—
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—41no—
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×D7—41no—
523C2×C4×D7—41no—
524C2×C4×D7C2×D414yes—
525C2×C4×D7C2×D414yes—
526C2×C4×D7#4114yes—
527C2×Dic14—22no—
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×C4⋊C4C2×D414yes—
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—22no—
545C7×C22⋊C4—22no—
546C7×C22⋊C4—22no—
547C7×C22⋊C4—41no—
548C7×C22⋊C4—41no—
549C7×C22⋊C4—41no—
550C42×C7—22no—
551C42×C7—22no—
552C42×C7—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—41no—
564C22⋊Dic7—41no—
565C22⋊Dic7—41no—
566C22⋊Dic7—41no—
567C22⋊Dic7—41no—
568C22⋊Dic7—41no—
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—22no—
584(C2×D7)⋊C4—22no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4C2×D414yes—
590(C2×D7)⋊C4C2×D414yes—
591(C2×D7)⋊C4#4114yes—
592C4⋊Dic7—22no—
593C4⋊Dic7—22no—
594C4⋊Dic7—22no—
595C4⋊Dic7—22no—
596C4⋊Dic7—22no—
597C4⋊Dic7—22no—
598C4⋊Dic7—22no—
599C4⋊Dic7—22no—
600C4⋊Dic7—41no—
601C4⋊Dic7—41no—
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—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—41no—
614Dic7⋊C4—41no—
615C4×Dic7—22no—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—41no—
620C4×Dic7—41no—
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×#126—71no—
633C2×#125—71no—
634C2×#125—71no—
635C2×#124—71no—
636C2×#124—71no—
637C2×#124C2×D711yescharacteristic
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123C2×D711yescharacteristic
645C2×C22⋊Q8—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8C2×D711yescharacteristic, complemented
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121—71no—
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×D4C2×D711yescharacteristic, complemented
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#400—71no—
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#396C2×D711yescharacteristic
686#395—71no—
687#395C2×D711yescharacteristic, complemented
688#394—71no—
689#394—71no—
690#394—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394C2×D711yescharacteristic, complemented
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392—71no—
701#392C2×D711yescharacteristic
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#389—71no—
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#388C2×D711yescharacteristic
744#388C2×D711yescharacteristic, complemented
745#388C2×D711yescharacteristic, complemented
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#386—71no—
759#386C2×D711yescharacteristic
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⋊C4C2×D711yescharacteristic, complemented
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⋊C4—71no—
780C4×C22⋊C4—71no—
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×C7—21no—
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—44no—
824C22×D7—44no—
825C22×D7—44no—
826C22×D7—82no—
827C22×D7—82no—
828C22×D7—82no—
829C22×D7—82no—
830C22×D7C22×D412yes—
831C22×D7C22×D412yes—
832C22×D7C2×#4112yes—
833C22×D7C2×#4112yes—
834C7×Q8—82no—
835C7×D4—44no—
836C7×D4—82no—
837C7×D4—82no—
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—82no—
869C2×C4×C7—82no—
870C2×C4×C7C22×D412yes—
871C2×C4×C7C22×D412yes—
872C2×C4×C7C22×D412yes—
873C2×C4×C7C2×#4112yes—
874C2×C4×C7C2×#4112yes—
875C2×C4×C7H(5,𝔽2)12yes—
876C22⋊D7—44no—
877C22⋊D7—44no—
878C22⋊D7—82no—
879C22⋊D7—82no—
880C22⋊D7—82no—
881C22⋊D7—82no—
882C22⋊D7—82no—
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—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7C22×D412yes—
919C2×Dic7C22×D412yes—
920C2×Dic7C2×#4112yes—
921C2×Dic7C2×#4112yes—
922D28—28no—
923D28—82no—
924C4×D7—44no—
925C4×D7—44no—
926C4×D7—44no—
927C4×D7—44no—
928C4×D7—44no—
929C4×D7—44no—
930C4×D7—44no—
931C4×D7—82no—
932C4×D7—82no—
933Dic14—82no—
934C25—71no—
935C22×Q8—71no—
936C22×Q8C22×D711yescharacteristic
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—144no—
961#126—144no—
962#126—144no—
963#126—144no—
964#125—144no—
965#125—144no—
966#124—42no—
967#124—144no—
968#124—144no—
969#123—24no—
970#123—144no—
971#123—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976C22⋊Q8—24no—
977C22⋊Q8—144no—
978C22⋊Q8—144no—
979C22⋊Q8—144no—
980#121—144no—
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—42no—
990C4×D4—78no—
991C4×D4—144no—
992C4×D4—144no—
993C4×D4—144no—
994C4×D4—144no—
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—144no—
1019C2×C4⋊C4C22×D711yescharacteristic
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#95—71no—
1123#95—71no—
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
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—22no—
1165C2×D7—22no—
1166C2×D7—22no—
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—22no—
1185C4×C7—22no—
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—41no—
1197Dic7—41no—
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—22no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×Q8—142no—
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—74no—
1271C22×C4—74no—
1272C22×C4—74no—
1273C22×C4—71no—
1274C22×C4—71no—
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—142no—
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—281no—
1344C4⋊C4—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C4⋊C4D4×D714yes—
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—22no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—74no—
1362C22⋊C4—74no—
1363C22⋊C4—74no—
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⋊C4—281no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—74no—
1404C42—142no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—281no—
1409C42—281no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—81no—
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—42no—
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—21no—
1449C23—72no—
1450C23—72no—
1451C23—72no—
1452C23—72no—
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—141no—
1470C23—284no—
1471C23—284no—
1472C23—284no—
1473C23—562no—
1474C23—562no—
1475C23—562no—
1476C23—562no—
1477C23C24×D711yescharacteristic
1478Q8—82no—
1479Q8—562no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—148no—
1484D4—284no—
1485D4—284no—
1486D4—562no—
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—72no—
1523C2×C4—72no—
1524C2×C4—72no—
1525C2×C4—72no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
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—284no—
1564C2×C4—284no—
1565C2×C4—284no—
1566C2×C4—284no—
1567C2×C4—284no—
1568C2×C4—284no—
1569C2×C4—284no—
1570C2×C4—562no—
1571C2×C4—562no—
1572C2×C4C2×D4×D712yes—
1573C2×C4C2×D4×D712yes—
1574C2×C4C2×D4×D712yes—
1575C2×C4#654812yes—
1576C2×C4D7×#4112yes—
1577C2×C4D7×#4112yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—41no—
1580C22—41no—
1581C22—41no—
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—142no—
1608C22—142no—
1609C22—142no—
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×#654811yescharacteristic
1624C22C2×D7×#4111yescharacteristic
1625C22C2×D7×#4111yescharacteristic
1626C22#9061611yescharacteristic
1627C22#9061811yescharacteristic
1628C22#9062011yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—142no—
1642C4—142no—
1643C4—142no—
1644C4—142no—
1645C4—281no—
1646C4—281no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—81no—
1655C2—81no—
1656C2—81no—
1657C2—144no—
1658C2—282no—
1659C2—561no—
1660C2#1174310411yescharacteristic
1661C2D7×#53211yescharacteristic
1662C2#1174359111yescharacteristic
1663C2#1174368911yescharacteristic
1664C2#1174374911yescharacteristic
1665C2#1174378311yescharacteristic
1666C2#1174386711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2461C2
hypercenter#2461D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2461

Complements

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

NH ≅ G/Ntype
1. C2×#90348C2semidirect
2. C2×#90329C2semidirect
3. C7×#2461C2semidirect
4. #11740453C2semidirect
5. #11740410C2semidirect
6. #11740308C2semidirect
7. #11740228C2semidirect
8. #11739858C2semidirect
9. C4×#6501C2semidirect
10. #11734866C2semidirect
11. #11734790C2semidirect
12. #11734698C2semidirect
13. #11734655C2semidirect
14. #11734565C2semidirect
15. #11734441C2semidirect
16. #11734203C2semidirect
17. #11734153C2semidirect
18. #11733887C2semidirect
19. #11733870C2semidirect
20. #11733405C2semidirect
21. #11733320C2semidirect
22. #11733313C2semidirect
23. #11733292C2semidirect
24. D7×#388C2semidirect
25. #11733266C2semidirect
26. #11732321C2semidirect
27. #11732202C2semidirect
28. #11732038C2semidirect
29. #11731921C2semidirect
30. #11731143C2semidirect
31. C4×#6456C2semidirect
34. C2×C7×C22⋊Q8C22semidirect
35. C2×C4×C7×D4C22semidirect
37. C2×#6509C22semidirect
43. C2×#6492C22semidirect
49. C2×#6461C22semidirect
56. C2×#6452C22semidirect
57. C2×#6452C22semidirect
65. C2×#6446C22semidirect
71. C2×#6442C22semidirect
74. C2×C42×D7C22semidirect
76. C7×#395C22semidirect
77. C7×#394C22semidirect
81. C7×#388C22semidirect
82. C7×#388C22semidirect
84. C7×#385C22semidirect
85. C4×C7×C4⋊C4C22semidirect
87. #90002C22semidirect
90. #89995C22semidirect
95. #89993C22semidirect
97. #89982C22semidirect
98. C4×C22⋊Dic7C22semidirect
99. C4×C22⋊Dic7C22semidirect
107. #89758C22semidirect
108. #89757C22semidirect
109. #89756C22semidirect
110. #89756C22semidirect
111. #89755C22semidirect
112. #89750C22semidirect
113. C4⋊C4×Dic7C22semidirect
114. C4⋊C4×Dic7C22semidirect
115. #89745C22semidirect
116. #89745C22semidirect
117. #89744C22semidirect
121. #89733C22semidirect
132. #89728C22semidirect
133. #89728C22semidirect
134. #89728C22semidirect
136. #89725C22semidirect
140. #89723C22semidirect
141. #89723C22semidirect
144. #89720C22semidirect
145. #89719C22semidirect
148. #89717C22semidirect
149. #89717C22semidirect
153. #89716C22semidirect
154. #89716C22semidirect
155. #89716C22semidirect
160. C4×(C2×D7)⋊C4C22semidirect
161. #89708C22semidirect
162. C4×C4⋊Dic7C22semidirect
163. C42×Dic7C22semidirect
164. #89700C22semidirect
166. #89446C22semidirect
167. #89446C22semidirect
173. #89439C22semidirect
176. #89438C22semidirect
177. #89438C22semidirect
182. #89433C22semidirect
183. #89432C22semidirect
184. #89428C22semidirect
185. #89425C22semidirect
186. #89419C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
333. #6456D4semidirect
409. #2461D7semidirect
648. C2×C22⋊Q8C2×D7semidirect
663. C2×C4×D4C2×D7semidirect
687. #395C2×D7semidirect
695. #394C2×D7semidirect
744. #388C2×D7semidirect
745. #388C2×D7semidirect
763. #385C2×D7semidirect
772. C4×C4⋊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×#903482
C2×#903292
C7×#24612
#117404532
#117404102
#117403082
#117402282
#117398582
C4×#65012
#117348662
#117347902
#117346982
#117346552
#117345652
#117344412
#117342032
#117341532
#117338872
#117338702
#117334052
#117333202
#117333132
#117332922
D7×#3882
#117332662
#117323212
#117322022
#117320382
#117319212
#117311432
C4×#64562
#350097