Finite Group Databasebeta

← #13526791

Subgroups — #13526791

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×#90351C211yesmaximal, characteristic, complemented
2C2×#90304C211yesmaximal, characteristic, complemented
3C7×#2464C211yesmaximal, characteristic, complemented
4#11740307C211yesmaximal, characteristic, complemented
5#11740152C211yesmaximal, characteristic, complemented
6#11740144C211yesmaximal, characteristic, complemented
7#11740118C211yesmaximal, characteristic, complemented
8C4×#6501C211yesmaximal, characteristic, complemented
9#11739812C211yesmaximal, characteristic, complemented
10#11735403C211yesmaximal, characteristic, complemented
11#11735285C211yesmaximal, characteristic, complemented
12#11734564C211yesmaximal, characteristic, complemented
13#11734443C211yesmaximal, characteristic, complemented
14#11734204C211yesmaximal, characteristic, complemented
15#11734203C211yesmaximal, characteristic, complemented
16#11734154C211yesmaximal, characteristic, complemented
17#11734152C211yesmaximal, characteristic, complemented
18#11733871C211yesmaximal, characteristic, complemented
19#11733775C211yesmaximal, characteristic, complemented
20#11733312C211yesmaximal, characteristic, complemented
21D7×#388C211yesmaximal, characteristic, complemented
22#11733265C211yesmaximal, characteristic, complemented
23#11733008C211yesmaximal, characteristic, complemented
24#11732340C211yesmaximal, characteristic, complemented
25#11732321C211yesmaximal, characteristic, complemented
26#11732314C211yesmaximal, characteristic, complemented
27#11732207C211yesmaximal, characteristic, complemented
28#11732038C211yesmaximal, characteristic, complemented
29#11731920C211yesmaximal, characteristic, complemented
30#11730972C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic, complemented
33C2×C7×#121C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic, complemented
36C2×#6502C2211yescharacteristic
37C2×#6501C2211yescharacteristic
38C2×#6501C2211yescharacteristic
39C2×#6501C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×#6500C2211yescharacteristic
42C2×#6500C2211yescharacteristic
43C2×#6499C2211yescharacteristic
44C2×#6498C2211yescharacteristic
45C2×#6498C2211yescharacteristic, complemented
46C2×#6492C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic
49C2×C4×C22⋊D7C2211yescharacteristic
50C2×#6487C2211yescharacteristic, complemented
51C22×C4×Dic7C2211yescharacteristic, complemented
52#90351—28no—
53#90304—28no—
54C2×#6461C2211yescharacteristic
55C2×#6459C2211yescharacteristic
56C2×#6459C2211yescharacteristic
57C2×D7×C4⋊C4C2211yescharacteristic
58C2×#6453C2211yescharacteristic, complemented
59C2×#6452C2211yescharacteristic, complemented
60C2×#6448C2211yescharacteristic
61C2×#6448C2211yescharacteristic
62C2×#6446C2211yescharacteristic
63C2×#6446C2211yescharacteristic
64C2×#6446C2211yescharacteristic
65C2×(C22⋊D7)⋊C4C2211yescharacteristic
66C2×(C22⋊D7)⋊C4C2211yescharacteristic
67C2×D7×C22⋊C4C2211yescharacteristic
68C2×D7×C22⋊C4C2211yescharacteristic
69C2×D7×C22⋊C4C2211yescharacteristic
70C2×#6442C2211yescharacteristic
71C2×#6442C2211yescharacteristic, complemented
72C2×#6442C2211yescharacteristic, complemented
73C2×#6441C2211yescharacteristic, complemented
74C2×C42×D7C2211yescharacteristic
75C7×#398C2211yescharacteristic, complemented
76C7×#394C2211yescharacteristic
77C7×#392C2211yescharacteristic
78C7×#392C2211yescharacteristic, complemented
79C7×#390C2211yescharacteristic
80C7×#388C2211yescharacteristic
81C7×#388C2211yescharacteristic, complemented
82C7×#386C2211yescharacteristic
83C7×#386C2211yescharacteristic, complemented
84C7×#385C2211yescharacteristic, complemented
85C4×C7×C22⋊C4C2211yescharacteristic, complemented
86#89995C2211yescharacteristic
87#89995C2211yescharacteristic
88#89994C2211yescharacteristic
89#89994C2211yescharacteristic
90#89994C2211yescharacteristic
91#89994C2211yescharacteristic, complemented
92#89994C2211yescharacteristic, complemented
93#89993C2211yescharacteristic
94#89993C2211yescharacteristic
95#89993C2211yescharacteristic
96#89993C2211yescharacteristic, complemented
97#89992C2211yescharacteristic
98#89992C2211yescharacteristic, complemented
99#89992C2211yescharacteristic, complemented
100#89985C2211yescharacteristic
101#89985C2211yescharacteristic
102#89984C2211yescharacteristic, complemented
103#89982C2211yescharacteristic, complemented
104C4×C22⋊Dic7C2211yescharacteristic, complemented
105C4×C22⋊Dic7C2211yescharacteristic, complemented
106#89766C2211yescharacteristic
107#89766C2211yescharacteristic
108#89765C2211yescharacteristic
109#89762C2211yescharacteristic
110#89761C2211yescharacteristic
111#89759C2211yescharacteristic
112#89758C2211yescharacteristic, complemented
113#89751C2211yescharacteristic, complemented
114#89750C2211yescharacteristic, complemented
115#89746C2211yescharacteristic, complemented
116#89745C2211yescharacteristic, complemented
117#89745C2211yescharacteristic, complemented
118#89745C2211yescharacteristic, complemented
119#89744C2211yescharacteristic, complemented
120#89733C2211yescharacteristic
121#89731C2211yescharacteristic
122#89730C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89729C2211yescharacteristic
126#89729C2211yescharacteristic
127#89728C2211yescharacteristic
128#89728C2211yescharacteristic
129#89728C2211yescharacteristic
130#89728C2211yescharacteristic
131#89727C2211yescharacteristic
132#89725C2211yescharacteristic, complemented
133#89724C2211yescharacteristic, complemented
134#89724C2211yescharacteristic, complemented
135#89723C2211yescharacteristic
136#89723C2211yescharacteristic
137#89723C2211yescharacteristic
138#89723C2211yescharacteristic, complemented
139#89723C2211yescharacteristic, complemented
140#89723C2211yescharacteristic, complemented
141#89723C2211yescharacteristic, complemented
142#89721C2211yescharacteristic
143#89720C2211yescharacteristic
144#89720C2211yescharacteristic, complemented
145#89719C2211yescharacteristic
146#89719C2211yescharacteristic, complemented
147#89717C2211yescharacteristic
148#89716C2211yescharacteristic
149#89716C2211yescharacteristic
150#89716C2211yescharacteristic
151#89716C2211yescharacteristic
152#89716C2211yescharacteristic, complemented
153#89716C2211yescharacteristic, complemented
154#89716C2211yescharacteristic, complemented
155#89716C2211yescharacteristic, complemented
156C22⋊C4×Dic7C2211yescharacteristic, complemented
157C22⋊C4×Dic7C2211yescharacteristic, complemented
158#89712C2211yescharacteristic
159#89712C2211yescharacteristic
160C4×(C2×D7)⋊C4C2211yescharacteristic
161C4×C4⋊Dic7C2211yescharacteristic, complemented
162C4×Dic7⋊C4C2211yescharacteristic, complemented
163C42×Dic7C2211yescharacteristic, complemented
164#89701C2211yescharacteristic, complemented
165#89449C2211yescharacteristic
166#89442C2211yescharacteristic
167#89442C2211yescharacteristic
168#89441C2211yescharacteristic
169#89441C2211yescharacteristic
170#89441C2211yescharacteristic
171#89440C2211yescharacteristic
172#89438C2211yescharacteristic
173#89438C2211yescharacteristic
174#89436C2211yescharacteristic
175D7×#95C2211yescharacteristic
176D7×#95C2211yescharacteristic
177#89433C2211yescharacteristic, complemented
178#89433C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89428C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89422C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, 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
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#123—24no—
217C7×#121—24no—
218C7×#121—42no—
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×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×C7×C22⋊C4C2311yescharacteristic
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
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263#6502—24no—
264#6501—24no—
265#6501—24no—
266#6501—24no—
267#6500—24no—
268#6500—24no—
269#6500—24no—
270#6499—24no—
271#6498—24no—
272#6498—24no—
273#6492—24no—
274C4×C22⋊D7—24no—
275C4×C22⋊D7—24no—
276C4×C22⋊D7—24no—
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×(C2×D7)⋊C4C2311yescharacteristic
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
302#6487—24no—
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×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×C4×Dic7—42no—
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333#6461—24no—
334#6459—24no—
335#6459—24no—
336D7×C4⋊C4—24no—
337#6453—24no—
338#6452—24no—
339#6448—24no—
340#6448—42no—
341#6446—24no—
342#6446—24no—
343#6446—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#6442—24no—
351#6442—24no—
352#6441—24no—
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#2464D711yescharacteristic, complemented
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
420C24×C7C2411yescharacteristic
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—22no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7—41no—
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
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—
442C2×C7×D4—41no—
443C2×C7×D4—41no—
444C2×C7×D4—41no—
445C2×C7×D4—41no—
446C2×C7×D4—41no—
447C2×C7×D4—41no—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—22no—
452C22×C4×C7—41no—
453C22×C4×C7—41no—
454C22×C4×C7—41no—
455C22×C4×C7—41no—
456C22×C4×C7—41no—
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C2×C22⋊D7—41no—
484C2×C22⋊D7—41no—
485C2×C22⋊D7C2×D414yes—
486C22×Dic7—22no—
487C22×Dic7—41no—
488C22×Dic7—41no—
489C22×Dic7—41no—
490C22×Dic7—41no—
491C22×Dic7C2×D414yes—
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C2×C4×D7—22no—
507C2×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—22no—
513C2×C4×D7—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—41no—
534C7×C4⋊C4—41no—
535C7×C22⋊C4—22no—
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⋊C4C2×D414yes—
548C42×C7—22no—
549C42×C7—41no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—22no—
559C22⋊Dic7—22no—
560C22⋊Dic7—22no—
561C22⋊Dic7—22no—
562C22⋊Dic7—22no—
563C22⋊Dic7—22no—
564C22⋊Dic7—22no—
565C22⋊Dic7—22no—
566C22⋊Dic7—22no—
567C22⋊Dic7—41no—
568C22⋊Dic7—41no—
569C22⋊Dic7—41no—
570C22⋊Dic7—41no—
571C22⋊Dic7—41no—
572C22⋊Dic7—41no—
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—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4C2×D414yes—
588(C2×D7)⋊C4#4114yes—
589C4⋊Dic7—22no—
590C4⋊Dic7—22no—
591C4⋊Dic7—22no—
592C4⋊Dic7—22no—
593C4⋊Dic7—22no—
594C4⋊Dic7—22no—
595C4⋊Dic7—22no—
596C4⋊Dic7—41no—
597C4⋊Dic7—41no—
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—22no—
611Dic7⋊C4—41no—
612Dic7⋊C4—41no—
613Dic7⋊C4C2×D414yes—
614C4×Dic7—22no—
615C4×Dic7—22no—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—22no—
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×#124—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123C2×D711yescharacteristic, complemented
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×#121C2×D711yescharacteristic
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×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#398C2×D711yescharacteristic, complemented
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#394—71no—
694#394—71no—
695#394C2×D711yescharacteristic
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392C2×D711yescharacteristic
701#392C2×D711yescharacteristic, complemented
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#388—71no—
744#388C2×D711yescharacteristic
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#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⋊C4—71no—
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×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7C22×D412yes—
812C23×C7C2511yescharacteristic
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—44no—
835C7×D4—82no—
836C7×D4—82no—
837C7×D4—82no—
838C7×D4—82no—
839C7×D4—82no—
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—44no—
869C2×C4×C7—82no—
870C2×C4×C7—82no—
871C2×C4×C7C22×D412yes—
872C2×C4×C7C22×D412yes—
873C2×C4×C7C2×#4112yes—
874C2×C4×C7C2×#4112yes—
875C2×C4×C7H(5,𝔽2)12yes—
876C22⋊D7—28no—
877C22⋊D7—44no—
878C22⋊D7—44no—
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—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—44no—
920C2×Dic7—44no—
921C2×Dic7C22×D412yes—
922C2×Dic7C22×D412yes—
923C2×Dic7C22×D412yes—
924C2×Dic7C2×#4112yes—
925C2×Dic7C2×#4112yes—
926C4×D7—44no—
927C4×D7—44no—
928C4×D7—44no—
929C4×D7—44no—
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×D4C22×D711yescharacteristic
944C22×D4C22×D711yescharacteristic
945C22×D4C22×D711yescharacteristic
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×C4C22×D711yescharacteristic
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—144no—
967#124—144no—
968#124—282no—
969#123—24no—
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—42no—
982#121—144no—
983#121—144no—
984#121—144no—
985#121—144no—
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—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—144no—
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—71no—
1094C2×C42—282no—
1095C2×C42—282no—
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—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×C7—41no—
1152C22×C7—41no—
1153C22×C7—41no—
1154C22×C7—41no—
1155C22×C7—41no—
1156C22×C7—41no—
1157C22×C7—41no—
1158C22×C7C23×D411yescharacteristic
1159C22×C7C22×#4111yescharacteristic
1160C22×C7C22×#4111yescharacteristic
1161C22×C7C2×H(5,𝔽2)11yescharacteristic
1162C22×C7#58511yescharacteristic
1163C22×C7#58511yescharacteristic
1164C22×C7#58511yescharacteristic
1165C2×D7—22no—
1166C2×D7—22no—
1167C2×D7—22no—
1168C2×D7—22no—
1169C2×D7—22no—
1170C2×D7—22no—
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—41no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191Dic7—22no—
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—142no—
1208C24—142no—
1209C24—142no—
1210C24—281no—
1211C24—281no—
1212C24—281no—
1213C24—281no—
1214C24C23×D711yescharacteristic
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—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—74no—
1243C2×D4—142no—
1244C2×D4—142no—
1245C2×D4—142no—
1246C2×D4—142no—
1247C2×D4—142no—
1248C2×D4—142no—
1249C2×D4—142no—
1250C2×D4—142no—
1251C2×D4—142no—
1252C2×D4—142no—
1253C2×D4—142no—
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—22no—
1263C22×C4—22no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—74no—
1275C22×C4—74no—
1276C22×C4—74no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—71no—
1283C22×C4—71no—
1284C22×C4—71no—
1285C22×C4—71no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—142no—
1293C22×C4—142no—
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×C4—281no—
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—41no—
1322C4⋊C4—41no—
1323C4⋊C4—74no—
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—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—22no—
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—281no—
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—74no—
1403C42—142no—
1404C42—142no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—142no—
1409C42—281no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—42no—
1416C2×C7—81no—
1417C2×C7—81no—
1418C2×C7—81no—
1419C2×C7C2×#53211yescharacteristic
1420C2×C7#345511yescharacteristic
1421C2×C7#345911yescharacteristic
1422C2×C7#349611yescharacteristic
1423C2×C7#350011yescharacteristic
1424C2×C7#351311yescharacteristic
1425C2×C7#352111yescharacteristic
1426D7—24no—
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—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—72no—
1456C23—72no—
1457C23—72no—
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—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—148no—
1487D4—284no—
1488D4—284no—
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—44no—
1521C2×C4—72no—
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—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×C4C2×D4×D712yes—
1574C2×C4C2×D4×D712yes—
1575C2×C4#654812yes—
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—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—74no—
1608C22—142no—
1609C22—142no—
1610C22—142no—
1611C22—142no—
1612C22—142no—
1613C22—142no—
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#9061811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—142no—
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—42no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—144no—
1659C2—561no—
1660C2#1174310411yescharacteristic
1661C2D7×#53211yescharacteristic
1662C2#1174353511yescharacteristic
1663C2#1174368911yescharacteristic
1664C2#1174370011yescharacteristic
1665C2#1174370311yescharacteristic
1666C2#1174395811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2464C2
hypercenter#2464D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2464

Complements

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

NH ≅ G/Ntype
1. C2×#90351C2semidirect
2. C2×#90304C2semidirect
3. C7×#2464C2semidirect
4. #11740307C2semidirect
5. #11740152C2semidirect
6. #11740144C2semidirect
7. #11740118C2semidirect
8. C4×#6501C2semidirect
9. #11739812C2semidirect
10. #11735403C2semidirect
11. #11735285C2semidirect
12. #11734564C2semidirect
13. #11734443C2semidirect
14. #11734204C2semidirect
15. #11734203C2semidirect
16. #11734154C2semidirect
17. #11734152C2semidirect
18. #11733871C2semidirect
19. #11733775C2semidirect
20. #11733312C2semidirect
21. D7×#388C2semidirect
22. #11733265C2semidirect
23. #11733008C2semidirect
24. #11732340C2semidirect
25. #11732321C2semidirect
26. #11732314C2semidirect
27. #11732207C2semidirect
28. #11732038C2semidirect
29. #11731920C2semidirect
30. #11730972C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
32. C2×C7×#123C22semidirect
35. C2×C4×C7×D4C22semidirect
45. C2×#6498C22semidirect
50. C2×#6487C22semidirect
51. C22×C4×Dic7C22semidirect
58. C2×#6453C22semidirect
59. C2×#6452C22semidirect
71. C2×#6442C22semidirect
72. C2×#6442C22semidirect
73. C2×#6441C22semidirect
75. C7×#398C22semidirect
78. C7×#392C22semidirect
81. C7×#388C22semidirect
83. C7×#386C22semidirect
84. C7×#385C22semidirect
85. C4×C7×C22⋊C4C22semidirect
91. #89994C22semidirect
92. #89994C22semidirect
96. #89993C22semidirect
98. #89992C22semidirect
99. #89992C22semidirect
102. #89984C22semidirect
103. #89982C22semidirect
104. C4×C22⋊Dic7C22semidirect
105. C4×C22⋊Dic7C22semidirect
112. #89758C22semidirect
113. #89751C22semidirect
114. #89750C22semidirect
115. #89746C22semidirect
116. #89745C22semidirect
117. #89745C22semidirect
118. #89745C22semidirect
119. #89744C22semidirect
132. #89725C22semidirect
133. #89724C22semidirect
134. #89724C22semidirect
138. #89723C22semidirect
139. #89723C22semidirect
140. #89723C22semidirect
141. #89723C22semidirect
144. #89720C22semidirect
146. #89719C22semidirect
152. #89716C22semidirect
153. #89716C22semidirect
154. #89716C22semidirect
155. #89716C22semidirect
156. C22⋊C4×Dic7C22semidirect
157. C22⋊C4×Dic7C22semidirect
161. C4×C4⋊Dic7C22semidirect
162. C4×Dic7⋊C4C22semidirect
163. C42×Dic7C22semidirect
164. #89701C22semidirect
177. #89433C22semidirect
178. #89433C22semidirect
179. #89430C22semidirect
180. #89429C22semidirect
181. #89428C22semidirect
182. #89425C22semidirect
183. #89422C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89419C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
345. (C22⋊D7)⋊C4D4semidirect
408. #2464D7semidirect
644. C2×#123C2×D7semidirect
663. C2×C4×D4C2×D7semidirect
677. #398C2×D7semidirect
701. #392C2×D7semidirect
745. #388C2×D7semidirect
759. #386C2×D7semidirect
763. #385C2×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×#903512
C2×#903042
C7×#24642
#117403072
#117401522
#117401442
#117401182
C4×#65012
#117398122
#117354032
#117352852
#117345642
#117344432
#117342042
#117342032
#117341542
#117341522
#117338712
#117337752
#117333122
D7×#3882
#117332652
#117330082
#117323402
#117323212
#117323142
#117322072
#117320382
#117319202
#117309722
C4×(C22⋊D7)⋊C42
#350097