Finite Group Databasebeta

← #13561905

Subgroups — #13561905

Order 1792.

1566 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2711C211yesmaximal, characteristic, complemented
2#11740517C211yesmaximal, characteristic, complemented
3#11740494C211yesmaximal, characteristic, complemented
4#11740133C211yesmaximal, characteristic
5#11740105C211yesmaximal, characteristic, complemented
6#11735522C211yesmaximal, characteristic, complemented
7#11735488C211yesmaximal, characteristic, complemented
8#11734835C211yesmaximal, characteristic, complemented
9#11734747C211yesmaximal, characteristic, complemented
10#11734523C211yesmaximal, characteristic, complemented
11#11734510C211yesmaximal, characteristic, complemented
12#11734503C211yesmaximal, characteristic, complemented
13#11734478C211yesmaximal, characteristic, complemented
14#11734419C211yesmaximal, characteristic, complemented
15#11734419C211yesmaximal, characteristic, complemented
16#11734402C211yesmaximal, characteristic, complemented
17#11734387C211yesmaximal, characteristic, complemented
18#11733920C211yesmaximal, characteristic, complemented
19#11733916C211yesmaximal, characteristic, complemented
20#11733857C211yesmaximal, characteristic, complemented
21#11733813C211yesmaximal, characteristic, complemented
22#11733204C211yesmaximal, characteristic, complemented
23#11733202C211yesmaximal, characteristic, complemented
24#11732915C211yesmaximal, characteristic, complemented
25#11732894C211yesmaximal, characteristic, complemented
26#11732880C211yesmaximal, characteristic, complemented
27#11732505C211yesmaximal, characteristic, complemented
28#11732012C211yesmaximal, characteristic, complemented
29#11732002C211yesmaximal, characteristic, complemented
30#11731926C211yesmaximal, characteristic, complemented
31#11731835C211yesmaximal, characteristic, complemented
32C2×C7×#125C2211yescharacteristic
33C2×C7×#121C2211yescharacteristic
34C2×#6501C2211yescharacteristic
35C2×#6453C2211yescharacteristic
36C2×#6446C2211yescharacteristic
37C2×#6446C2211yescharacteristic
38C2×(C22⋊D7)⋊C4C2211yescharacteristic
39C2×#6440C2211yescharacteristic
40C2×C42×D7C2211yescharacteristic
41C7×#399C2211yescharacteristic
42C7×#396C2211yescharacteristic
43C7×#394C2211yescharacteristic
44C7×#394C2211yescharacteristic
45C7×#394C2211yescharacteristic
46C7×#394C2211yescharacteristic
47C7×#390C2211yescharacteristic
48C7×#390C2211yescharacteristic
49C7×#388C2211yescharacteristic
50C7×#388C2211yescharacteristic
51C7×#387C2211yescharacteristic
52C7×#385C2211yescharacteristic
53C7×#385C2211yescharacteristic
54#89995C2211yescharacteristic
55#89995C2211yescharacteristic
56#89994C2211yescharacteristic
57#89994C2211yescharacteristic
58#89994C2211yescharacteristic
59#89994C2211yescharacteristic
60#89993C2211yescharacteristic
61#89992C2211yescharacteristic
62#89992C2211yescharacteristic
63#89992C2211yescharacteristic
64#89992C2211yescharacteristic
65#89985C2211yescharacteristic
66#89983C2211yescharacteristic
67#89982C2211yescharacteristic
68C4×C22⋊Dic7C2211yescharacteristic
69#89762C2211yescharacteristic
70#89761C2211yescharacteristic
71#89761C2211yescharacteristic
72#89761C2211yescharacteristic
73#89761C2211yescharacteristic
74#89761C2211yescharacteristic
75#89759C2211yescharacteristic
76#89759C2211yescharacteristic
77#89759C2211yescharacteristic
78#89758C2211yescharacteristic
79#89758C2211yescharacteristic
80#89757C2211yescharacteristic
81#89756C2211yescharacteristic
82#89756C2211yescharacteristic
83#89756C2211yescharacteristic
84#89755C2211yescharacteristic
85#89755C2211yescharacteristic
86#89754C2211yescharacteristic
87#89754C2211yescharacteristic
88#89754C2211yescharacteristic
89#89753C2211yescharacteristic
90#89750C2211yescharacteristic
91#89750C2211yescharacteristic
92#89750C2211yescharacteristic
93#89750C2211yescharacteristic
94#89750C2211yescharacteristic
95#89750C2211yescharacteristic
96#89750C2211yescharacteristic
97#89750C2211yescharacteristic
98#89749C2211yescharacteristic
99C4⋊C4×Dic7C2211yescharacteristic
100C4⋊C4×Dic7C2211yescharacteristic
101#89745C2211yescharacteristic
102#89745C2211yescharacteristic
103#89744C2211yescharacteristic
104#89733C2211yescharacteristic
105#89733C2211yescharacteristic
106#89731C2211yescharacteristic
107#89731C2211yescharacteristic
108#89730C2211yescharacteristic
109#89729C2211yescharacteristic
110#89729C2211yescharacteristic
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic
114#89728C2211yescharacteristic
115#89725C2211yescharacteristic
116#89725C2211yescharacteristic
117#89725C2211yescharacteristic
118#89724C2211yescharacteristic
119#89724C2211yescharacteristic
120#89724C2211yescharacteristic
121#89724C2211yescharacteristic
122#89724C2211yescharacteristic
123#89723C2211yescharacteristic
124#89723C2211yescharacteristic
125#89723C2211yescharacteristic
126#89723C2211yescharacteristic
127#89723C2211yescharacteristic
128#89723C2211yescharacteristic
129#89723C2211yescharacteristic
130#89722C2211yescharacteristic
131#89722C2211yescharacteristic
132#89722C2211yescharacteristic
133#89721C2211yescharacteristic
134#89720C2211yescharacteristic
135#89720C2211yescharacteristic
136#89720C2211yescharacteristic
137#89720C2211yescharacteristic
138#89720C2211yescharacteristic
139#89717C2211yescharacteristic
140#89717C2211yescharacteristic
141#89717C2211yescharacteristic
142#89717C2211yescharacteristic
143#89717C2211yescharacteristic
144#89717C2211yescharacteristic
145#89717C2211yescharacteristic
146#89717C2211yescharacteristic
147#89717C2211yescharacteristic
148#89717C2211yescharacteristic
149#89716C2211yescharacteristic
150#89716C2211yescharacteristic
151#89716C2211yescharacteristic
152#89715C2211yescharacteristic
153#89714C2211yescharacteristic
154C22⋊C4×Dic7C2211yescharacteristic
155C22⋊C4×Dic7C2211yescharacteristic
156#89712C2211yescharacteristic
157#89708C2211yescharacteristic
158C4×C4⋊Dic7C2211yescharacteristic
159#89705C2211yescharacteristic
160#89705C2211yescharacteristic
161#89705C2211yescharacteristic
162#89700C2211yescharacteristic
163#89447C2211yescharacteristic
164#89447C2211yescharacteristic
165#89442C2211yescharacteristic
166#89441C2211yescharacteristic
167#89440C2211yescharacteristic
168#89438C2211yescharacteristic
169C7⋊#401C2211yescharacteristic
170C7⋊#401C2211yescharacteristic
171#89432C2211yescharacteristic
172#89432C2211yescharacteristic
173#89431C2211yescharacteristic
174#89429C2211yescharacteristic
175#89427C2211yescharacteristic
176#89427C2211yescharacteristic
177#89427C2211yescharacteristic
178#89426C2211yescharacteristic
179#89425C2211yescharacteristic
180#89425C2211yescharacteristic
181#89424C2211yescharacteristic
182#89422C2211yescharacteristic
183#89422C2211yescharacteristic
184#89420C2211yescharacteristic
185#89419C2211yescharacteristic
186#89419C2211yescharacteristic
187#36769—71nomaximal, Sylow
188C22×C7×D4C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C23×Dic7C2311yescharacteristic
196C23×Dic7C2311yescharacteristic
197C22×C4×D7C2311yescharacteristic
198C22×C4×D7C2311yescharacteristic
199C22×C4×D7C2311yescharacteristic
200C7×#125—42no—
201C7×#121—42no—
202C2×C7×C4⋊C4C2311yescharacteristic
203C2×C7×C4⋊C4C2311yescharacteristic
204C2×C7×C4⋊C4C2311yescharacteristic
205C2×C7×C4⋊C4C2311yescharacteristic
206C2×C7×C4⋊C4C2311yescharacteristic
207C2×C7×C4⋊C4C2311yescharacteristic
208C2×C7×C4⋊C4C2311yescharacteristic
209C2×C7×C4⋊C4C2311yescharacteristic
210C2×C7×C4⋊C4C2311yescharacteristic
211C2×C7×C22⋊C4C2311yescharacteristic
212C2×C7×C22⋊C4C2311yescharacteristic
213C2×C7×C22⋊C4C2311yescharacteristic
214C2×C7×C22⋊C4C2311yescharacteristic
215C2×C7×C22⋊C4C2311yescharacteristic
216C2×C7×C22⋊C4C2311yescharacteristic
217C2×C7×C22⋊C4C2311yescharacteristic
218C2×C7×C22⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C42×C7C2311yescharacteristic
226C2×C42×C7C2311yescharacteristic
227C2×C22⋊Dic7C2311yescharacteristic
228C2×C22⋊Dic7C2311yescharacteristic
229C2×C22⋊Dic7C2311yescharacteristic
230C2×C22⋊Dic7C2311yescharacteristic
231C2×C22⋊Dic7C2311yescharacteristic
232C2×C22⋊Dic7C2311yescharacteristic
233C2×C22⋊Dic7C2311yescharacteristic
234C2×C22⋊Dic7C2311yescharacteristic
235C2×C22⋊Dic7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246#6501—42no—
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×C4⋊Dic7C2311yescharacteristic
257C2×C4⋊Dic7C2311yescharacteristic
258C2×C4⋊Dic7C2311yescharacteristic
259C2×C4⋊Dic7C2311yescharacteristic
260C2×C4⋊Dic7C2311yescharacteristic
261C2×C4⋊Dic7C2311yescharacteristic
262C2×C4⋊Dic7C2311yescharacteristic
263C2×C4⋊Dic7C2311yescharacteristic
264C2×C4⋊Dic7C2311yescharacteristic
265C2×C4⋊Dic7C2311yescharacteristic
266C2×Dic7⋊C4C2311yescharacteristic
267C2×Dic7⋊C4C2311yescharacteristic
268C2×Dic7⋊C4C2311yescharacteristic
269C2×Dic7⋊C4C2311yescharacteristic
270C2×Dic7⋊C4C2311yescharacteristic
271C2×Dic7⋊C4C2311yescharacteristic
272C2×Dic7⋊C4C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×Dic7⋊C4C2311yescharacteristic
275C2×Dic7⋊C4C2311yescharacteristic
276C2×Dic7⋊C4C2311yescharacteristic
277C2×Dic7⋊C4C2311yescharacteristic
278C2×Dic7⋊C4C2311yescharacteristic
279C2×Dic7⋊C4C2311yescharacteristic
280C2×Dic7⋊C4C2311yescharacteristic
281C2×Dic7⋊C4C2311yescharacteristic
282C2×Dic7⋊C4C2311yescharacteristic
283C2×C4×Dic7C2311yescharacteristic
284C2×C4×Dic7C2311yescharacteristic
285C2×C4×Dic7C2311yescharacteristic
286C2×C4×Dic7C2311yescharacteristic
287C2×C4×Dic7C2311yescharacteristic
288C2×C4×Dic7C2311yescharacteristic
289C2×C4×Dic7C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291C2×C4×Dic7C2311yescharacteristic
292C2×C4×Dic7C2311yescharacteristic
293C2×C4×Dic7C2311yescharacteristic
294#6453—42no—
295#6446—24no—
296#6446—24no—
297(C22⋊D7)⋊C4—24no—
298#6440—42no—
299C42×D7—42no—
300C7×#95C2311yescharacteristic
301C7×#95C2311yescharacteristic
302C7×#95C2311yescharacteristic
303C7×#95C2311yescharacteristic
304C7×#95C2311yescharacteristic
305C7×#95C2311yescharacteristic
306C7⋊#95C2311yescharacteristic
307C7⋊#95C2311yescharacteristic
308C7⋊#95C2311yescharacteristic
309C7⋊#95C2311yescharacteristic
310C7⋊#95C2311yescharacteristic
311C7⋊#95C2311yescharacteristic
312C7⋊#95C2311yescharacteristic
313C7⋊#95C2311yescharacteristic
314C7⋊#95C2311yescharacteristic
315C7⋊#95C2311yescharacteristic
316C7⋊#95C2311yescharacteristic
317C7⋊#95C2311yescharacteristic
318C7⋊#95C2311yescharacteristic
319C7⋊#95C2311yescharacteristic
320C7⋊#95C2311yescharacteristic
321C7⋊#95C2311yescharacteristic
322C7⋊#95C2311yescharacteristic
323C7⋊#95C2311yescharacteristic
324C7⋊#95C2311yescharacteristic
325C7⋊#95C2311yescharacteristic
326C7⋊#95C2311yescharacteristic
327C7⋊#95C2311yescharacteristic
328C7⋊#95C2311yescharacteristic
329C7⋊#95C2311yescharacteristic
330C7⋊#95C2311yescharacteristic
331C7⋊#95C2311yescharacteristic
332C7⋊#95C2311yescharacteristic
333C7⋊#95C2311yescharacteristic
334C7⋊#95C2311yescharacteristic
335C7⋊#95C2311yescharacteristic
336C7⋊#95C2311yescharacteristic
337C7⋊#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352#2854—71no—
353#2851—71no—
354#2801—71no—
355#2797—71no—
356#2787—71no—
357#2782—71no—
358#2781—71no—
359#2779—71no—
360#2772—71no—
361#2772—71no—
362#2765—71no—
363#2761—71no—
364#2753—71no—
365#2746—71no—
366#2719—71no—
367#2711—71no—
368#2711D711yescharacteristic, complemented
369#2688—71no—
370#2630—71no—
371#2630—71no—
372#2597—71no—
373#2596—71no—
374#2576—71no—
375#2575—71no—
376#2531—71no—
377#2528—71no—
378#2476—71no—
379#2475—71no—
380#2335—71no—
381#2335—71no—
382#2290—71no—
383C24×C7C2411yescharacteristic
384C24×C7C2411yescharacteristic
385C24×C7C2411yescharacteristic
386C23×D7C2411yescharacteristic
387C2×C7×D4—22no—
388C2×C7×D4—41no—
389C2×C7×D4—41no—
390C2×C7×D4—41no—
391C2×C7×D4—41no—
392C2×C7×D4—41no—
393C2×C7×D4—41no—
394C2×C7×D4—41no—
395C2×C7×D4—41no—
396C22×C4×C7—41no—
397C22×C4×C7—41no—
398C22×C4×C7—41no—
399C22×C4×C7C2411yescharacteristic
400C22×C4×C7C2411yescharacteristic
401C22×C4×C7C2411yescharacteristic
402C22×C4×C7C2411yescharacteristic
403C22×C4×C7C2411yescharacteristic
404C22×C4×C7C2411yescharacteristic
405C22×C4×C7C2411yescharacteristic
406C22×C4×C7C2411yescharacteristic
407C22×C4×C7C2411yescharacteristic
408C22×C4×C7C2411yescharacteristic
409C22×C4×C7C2411yescharacteristic
410C22×C4×C7C2411yescharacteristic
411C2×C22⋊D7—22no—
412C2×C22⋊D7—22no—
413C2×C22⋊D7—22no—
414C2×C22⋊D7—41no—
415C2×C22⋊D7—41no—
416C2×C22⋊D7—41no—
417C2×C22⋊D7—41no—
418C2×C22⋊D7—41no—
419C2×C22⋊D7—41no—
420C22×Dic7—22no—
421C22×Dic7—41no—
422C22×Dic7—41no—
423C22×Dic7—41no—
424C22×Dic7—41no—
425C22×Dic7—41no—
426C22×Dic7C2411yescharacteristic
427C22×Dic7C2411yescharacteristic
428C22×Dic7C2411yescharacteristic
429C22×Dic7C2411yescharacteristic
430C22×Dic7C2411yescharacteristic
431C22×Dic7C2411yescharacteristic
432C22×Dic7C2411yescharacteristic
433C22×Dic7C2411yescharacteristic
434C22×Dic7C2411yescharacteristic
435C22×Dic7C2411yescharacteristic
436C22×Dic7C2411yescharacteristic
437C22×Dic7C2411yescharacteristic
438C22×Dic7C2411yescharacteristic
439C22×Dic7C2411yescharacteristic
440C22×Dic7C2411yescharacteristic
441C2×C4×D7—22no—
442C2×C4×D7—41no—
443C2×C4×D7—41no—
444C2×C4×D7—41no—
445C2×C4×D7—41no—
446C2×C4×D7—41no—
447C2×C4×D7—41no—
448C2×C4×D7—41no—
449C2×C4×D7#4114yes—
450C7×C4⋊C4—22no—
451C7×C4⋊C4—22no—
452C7×C4⋊C4—41no—
453C7×C4⋊C4—41no—
454C7×C4⋊C4—41no—
455C7×C4⋊C4—41no—
456C7×C4⋊C4—41no—
457C7×C4⋊C4—41no—
458C7×C4⋊C4—41no—
459C7×C22⋊C4—22no—
460C7×C22⋊C4—22no—
461C7×C22⋊C4—22no—
462C7×C22⋊C4—22no—
463C7×C22⋊C4—41no—
464C7×C22⋊C4—41no—
465C7×C22⋊C4—41no—
466C7×C22⋊C4—41no—
467C7×C22⋊C4—41no—
468C7×C22⋊C4—41no—
469C7×C22⋊C4—41no—
470C7×C22⋊C4—41no—
471C7×C22⋊C4—41no—
472C7×C22⋊C4—41no—
473C42×C7—22no—
474C42×C7—41no—
475C22⋊Dic7—22no—
476C22⋊Dic7—22no—
477C22⋊Dic7—41no—
478C22⋊Dic7—41no—
479C22⋊Dic7—41no—
480C22⋊Dic7—41no—
481C22⋊Dic7—41no—
482C22⋊Dic7—41no—
483C22⋊Dic7—41no—
484C22⋊Dic7—41no—
485C22⋊Dic7—41no—
486C22⋊Dic7—41no—
487C22⋊Dic7—41no—
488C22⋊Dic7—41no—
489C22⋊Dic7—41no—
490C22⋊Dic7—41no—
491C22⋊Dic7—41no—
492C22⋊Dic7—41no—
493C22⋊Dic7—41no—
494(C2×D7)⋊C4—22no—
495(C2×D7)⋊C4—22no—
496(C2×D7)⋊C4—22no—
497(C2×D7)⋊C4—41no—
498(C2×D7)⋊C4—41no—
499(C2×D7)⋊C4—41no—
500(C2×D7)⋊C4—41no—
501(C2×D7)⋊C4—41no—
502(C2×D7)⋊C4—41no—
503C4⋊Dic7—22no—
504C4⋊Dic7—22no—
505C4⋊Dic7—22no—
506C4⋊Dic7—41no—
507C4⋊Dic7—41no—
508C4⋊Dic7—41no—
509C4⋊Dic7—41no—
510C4⋊Dic7—41no—
511C4⋊Dic7—41no—
512C4⋊Dic7—41no—
513Dic7⋊C4—22no—
514Dic7⋊C4—22no—
515Dic7⋊C4—22no—
516Dic7⋊C4—22no—
517Dic7⋊C4—41no—
518Dic7⋊C4—41no—
519Dic7⋊C4—41no—
520Dic7⋊C4—41no—
521Dic7⋊C4—41no—
522Dic7⋊C4—41no—
523Dic7⋊C4—41no—
524Dic7⋊C4—41no—
525Dic7⋊C4—41no—
526Dic7⋊C4—41no—
527Dic7⋊C4—41no—
528Dic7⋊C4—41no—
529Dic7⋊C4—41no—
530C4×Dic7—22no—
531C4×Dic7—22no—
532C4×Dic7—41no—
533C4×Dic7—41no—
534C4×Dic7—41no—
535C4×Dic7—41no—
536C4×Dic7—41no—
537C4×Dic7—41no—
538C4×Dic7—41no—
539C4×Dic7—41no—
540C4×Dic7—41no—
541C2×#125—71no—
542C2×#125C2×D711yescharacteristic
543C2×#123—71no—
544C2×#123—71no—
545C2×#121—71no—
546C2×#121C2×D711yescharacteristic
547C2×C4×D4—71no—
548C2×#117—71no—
549C22×C42—71no—
550#401—71no—
551#401—71no—
552#400—71no—
553#400—71no—
554#400—71no—
555#400—71no—
556#400—71no—
557#400—71no—
558#400—71no—
559#400—71no—
560#399—71no—
561#399C2×D711yescharacteristic
562#398—71no—
563#398—71no—
564#398—71no—
565#398—71no—
566#398—71no—
567#398—71no—
568#397—71no—
569#397—71no—
570#397—71no—
571#397—71no—
572#397—71no—
573#397—71no—
574#397—71no—
575#397—71no—
576#397—71no—
577#397—71no—
578#396—71no—
579#396—71no—
580#396—71no—
581#396—71no—
582#396—71no—
583#396C2×D711yescharacteristic
584#394—71no—
585#394—71no—
586#394—71no—
587#394—71no—
588#394—71no—
589#394—71no—
590#394—71no—
591#394—71no—
592#394C2×D711yescharacteristic
593#394C2×D711yescharacteristic
594#394C2×D711yescharacteristic
595#394C2×D711yescharacteristic
596#392—71no—
597#392—71no—
598#390—71no—
599#390—71no—
600#390—71no—
601#390C2×D711yescharacteristic
602#390C2×D711yescharacteristic
603#389—71no—
604#389—71no—
605#389—71no—
606#389—71no—
607#389—71no—
608#389—71no—
609#389—71no—
610#388—71no—
611#388—71no—
612#388—71no—
613#388—71no—
614#388—71no—
615#388—71no—
616#388—71no—
617#388—71no—
618#388—71no—
619#388—71no—
620#388—71no—
621#388—71no—
622#388—71no—
623#388—71no—
624#388—71no—
625#388—71no—
626#388—71no—
627#388—71no—
628#388—71no—
629#388—71no—
630#388—71no—
631#388—71no—
632#388—71no—
633#388—71no—
634#388C2×D711yescharacteristic
635#388C2×D711yescharacteristic
636#387—71no—
637#387—71no—
638#387—71no—
639#387—71no—
640#387—71no—
641#387—71no—
642#387—71no—
643#387—71no—
644#387—71no—
645#387—71no—
646#387—71no—
647#387—71no—
648#387—71no—
649#387—71no—
650#387—71no—
651#387—71no—
652#387—71no—
653#387—71no—
654#387—71no—
655#387C2×D711yescharacteristic
656#386—71no—
657#386—71no—
658#386—71no—
659#386—71no—
660#386—71no—
661#386—71no—
662#386—71no—
663#386—71no—
664#386—71no—
665#386—71no—
666#385—71no—
667#385—71no—
668#385—71no—
669#385—71no—
670#385—71no—
671#385—71no—
672#385—71no—
673#385—71no—
674#385—71no—
675#385—71no—
676#385C2×D711yescharacteristic
677#385C2×D711yescharacteristic
678#382—71no—
679#382—71no—
680#382—71no—
681#382—71no—
682#381—71no—
683#381—71no—
684#380—71no—
685#380—71no—
686#380—71no—
687#380—71no—
688C4×C4⋊C4—71no—
689C4×C4⋊C4—71no—
690C4×C4⋊C4—71no—
691C4×C22⋊C4—71no—
692C4×C22⋊C4—71no—
693C4×C22⋊C4—71no—
694C4×C22⋊C4—71no—
695#376—71no—
696C23×C7—21no—
697C23×C7—21no—
698C23×C7—21no—
699C23×C7—21no—
700C23×C7—21no—
701C23×C7—21no—
702C23×C7—21no—
703C23×C7—21no—
704C23×C7—21no—
705C23×C7—21no—
706C23×C7—21no—
707C23×C7—21no—
708C23×C7—21no—
709C23×C7—21no—
710C23×C7—21no—
711C23×C7—21no—
712C23×C7—21no—
713C23×C7—21no—
714C23×C7—21no—
715C23×C7—21no—
716C23×C7—21no—
717C23×C7C2511yescharacteristic
718C22×D7—21no—
719C22×D7—21no—
720C22×D7—21no—
721C22×D7—21no—
722C22×D7—21no—
723C22×D7—21no—
724C22×D7C2×#4112yes—
725C7×D4—82no—
726C7×D4—82no—
727C7×D4—82no—
728C2×C4×C7—21no—
729C2×C4×C7—21no—
730C2×C4×C7—21no—
731C2×C4×C7—21no—
732C2×C4×C7—21no—
733C2×C4×C7—21no—
734C2×C4×C7—21no—
735C2×C4×C7—21no—
736C2×C4×C7—21no—
737C2×C4×C7—21no—
738C2×C4×C7—21no—
739C2×C4×C7—21no—
740C2×C4×C7—21no—
741C2×C4×C7—21no—
742C2×C4×C7—21no—
743C2×C4×C7—21no—
744C2×C4×C7—21no—
745C2×C4×C7—21no—
746C2×C4×C7—21no—
747C2×C4×C7—21no—
748C2×C4×C7—21no—
749C2×C4×C7—21no—
750C2×C4×C7—21no—
751C2×C4×C7—21no—
752C2×C4×C7—21no—
753C2×C4×C7—21no—
754C2×C4×C7—21no—
755C2×C4×C7—21no—
756C2×C4×C7—21no—
757C2×C4×C7—21no—
758C2×C4×C7—21no—
759C2×C4×C7—21no—
760C2×C4×C7—21no—
761C2×C4×C7—21no—
762C2×C4×C7—82no—
763C2×C4×C7C2×#4112yes—
764C2×C4×C7H(5,𝔽2)12yes—
765C22⋊D7—44no—
766C22⋊D7—82no—
767C22⋊D7—82no—
768C2×Dic7—21no—
769C2×Dic7—21no—
770C2×Dic7—21no—
771C2×Dic7—21no—
772C2×Dic7—21no—
773C2×Dic7—21no—
774C2×Dic7—21no—
775C2×Dic7—21no—
776C2×Dic7—21no—
777C2×Dic7—21no—
778C2×Dic7—21no—
779C2×Dic7—21no—
780C2×Dic7—21no—
781C2×Dic7—21no—
782C2×Dic7—21no—
783C2×Dic7—21no—
784C2×Dic7—21no—
785C2×Dic7—21no—
786C2×Dic7—21no—
787C2×Dic7—21no—
788C2×Dic7—21no—
789C2×Dic7—21no—
790C2×Dic7—21no—
791C2×Dic7—21no—
792C2×Dic7—21no—
793C2×Dic7—21no—
794C2×Dic7—21no—
795C2×Dic7—21no—
796C2×Dic7—21no—
797C2×Dic7—21no—
798C2×Dic7—21no—
799C2×Dic7—21no—
800C2×Dic7—21no—
801C2×Dic7—21no—
802C2×Dic7—21no—
803C2×Dic7—21no—
804C2×Dic7—21no—
805C2×Dic7—21no—
806C2×Dic7—21no—
807C2×Dic7—21no—
808C2×Dic7—21no—
809C2×Dic7—21no—
810C2×Dic7—21no—
811C2×Dic7—21no—
812C2×Dic7—44no—
813C2×Dic7—82no—
814C2×Dic7C2×#4112yes—
815C4×D7—44no—
816C4×D7—44no—
817C4×D7—44no—
818C22×D4—71no—
819C22×D4—71no—
820C22×D4—71no—
821C22×D4C22×D711yescharacteristic
822C22×D4C22×D711yescharacteristic
823C22×D4C22×D711yescharacteristic
824C23×C4—71no—
825C23×C4—71no—
826C23×C4—71no—
827C23×C4—71no—
828C23×C4—71no—
829C23×C4C22×D711yescharacteristic
830#125—42no—
831#125—282no—
832#123—144no—
833#123—144no—
834#121—42no—
835#121—282no—
836C4×D4—144no—
837#117—282no—
838C2×C4⋊C4—71no—
839C2×C4⋊C4—71no—
840C2×C4⋊C4—71no—
841C2×C4⋊C4—71no—
842C2×C4⋊C4—71no—
843C2×C4⋊C4—71no—
844C2×C4⋊C4—71no—
845C2×C4⋊C4—71no—
846C2×C4⋊C4—71no—
847C2×C4⋊C4—71no—
848C2×C4⋊C4—71no—
849C2×C4⋊C4—71no—
850C2×C4⋊C4—71no—
851C2×C4⋊C4—71no—
852C2×C4⋊C4—71no—
853C2×C4⋊C4—71no—
854C2×C4⋊C4—71no—
855C2×C4⋊C4—71no—
856C2×C4⋊C4—71no—
857C2×C4⋊C4—71no—
858C2×C4⋊C4—71no—
859C2×C4⋊C4—71no—
860C2×C4⋊C4—71no—
861C2×C4⋊C4—71no—
862C2×C4⋊C4—71no—
863C2×C4⋊C4—71no—
864C2×C4⋊C4—71no—
865C2×C4⋊C4C22×D711yescharacteristic
866C2×C4⋊C4C22×D711yescharacteristic
867C2×C4⋊C4C22×D711yescharacteristic
868C2×C4⋊C4C22×D711yescharacteristic
869C2×C4⋊C4C22×D711yescharacteristic
870C2×C4⋊C4C22×D711yescharacteristic
871C2×C4⋊C4C22×D711yescharacteristic
872C2×C4⋊C4C22×D711yescharacteristic
873C2×C4⋊C4C22×D711yescharacteristic
874C2×C22⋊C4—71no—
875C2×C22⋊C4—71no—
876C2×C22⋊C4—71no—
877C2×C22⋊C4—71no—
878C2×C22⋊C4—71no—
879C2×C22⋊C4—71no—
880C2×C22⋊C4—71no—
881C2×C22⋊C4—71no—
882C2×C22⋊C4—71no—
883C2×C22⋊C4—71no—
884C2×C22⋊C4—71no—
885C2×C22⋊C4—71no—
886C2×C22⋊C4—71no—
887C2×C22⋊C4—71no—
888C2×C22⋊C4—71no—
889C2×C22⋊C4—71no—
890C2×C22⋊C4—71no—
891C2×C22⋊C4—71no—
892C2×C22⋊C4—71no—
893C2×C22⋊C4—71no—
894C2×C22⋊C4—71no—
895C2×C22⋊C4—71no—
896C2×C22⋊C4—71no—
897C2×C22⋊C4—71no—
898C2×C22⋊C4—71no—
899C2×C22⋊C4—71no—
900C2×C22⋊C4—71no—
901C2×C22⋊C4—71no—
902C2×C22⋊C4C22×D711yescharacteristic
903C2×C22⋊C4C22×D711yescharacteristic
904C2×C22⋊C4C22×D711yescharacteristic
905C2×C22⋊C4C22×D711yescharacteristic
906C2×C22⋊C4C22×D711yescharacteristic
907C2×C22⋊C4C22×D711yescharacteristic
908C2×C22⋊C4C22×D711yescharacteristic
909C2×C22⋊C4C22×D711yescharacteristic
910C2×C22⋊C4C22×D711yescharacteristic
911C2×C22⋊C4C22×D711yescharacteristic
912C2×C22⋊C4C22×D711yescharacteristic
913C2×C22⋊C4C22×D711yescharacteristic
914C2×C22⋊C4C22×D711yescharacteristic
915C2×C22⋊C4C22×D711yescharacteristic
916C2×C42—71no—
917C2×C42—71no—
918C2×C42—71no—
919C2×C42—71no—
920C2×C42—71no—
921C2×C42—71no—
922C2×C42—71no—
923C2×C42—71no—
924C2×C42—71no—
925C2×C42—71no—
926C2×C42—71no—
927C2×C42—282no—
928C2×C42C22×D711yescharacteristic
929C2×C42C22×D711yescharacteristic
930#95—71no—
931#95—71no—
932#95—71no—
933#95—71no—
934#95—71no—
935#95—71no—
936#95—71no—
937#95—71no—
938#95—71no—
939#95—71no—
940#95—71no—
941#95—71no—
942#95—71no—
943#95—71no—
944#95—71no—
945#95—71no—
946#95—71no—
947#95—71no—
948#95—71no—
949#95—71no—
950#95—71no—
951#95—71no—
952#95—71no—
953#95—71no—
954#95—71no—
955#95—71no—
956#95—71no—
957#95—71no—
958#95—71no—
959#95—71no—
960#95—71no—
961#95—71no—
962#95—71no—
963#95—71no—
964#95—71no—
965#95—71no—
966#95—71no—
967#95—71no—
968#95—71no—
969#95—71no—
970#95—71no—
971#95—71no—
972#95—71no—
973#95—71no—
974#95—71no—
975#95—71no—
976#95C22×D711yescharacteristic
977#95C22×D711yescharacteristic
978#95C22×D711yescharacteristic
979#95C22×D711yescharacteristic
980#95C22×D711yescharacteristic
981#95C22×D711yescharacteristic
982C22×C7—41no—
983C22×C7—41no—
984C22×C7—41no—
985C22×C7—41no—
986C22×C7—41no—
987C22×C7—41no—
988C22×C7—41no—
989C22×C7—41no—
990C22×C7—41no—
991C22×C7—41no—
992C22×C7—41no—
993C22×C7—41no—
994C22×C7—41no—
995C22×C7—41no—
996C22×C7—41no—
997C22×C7—41no—
998C22×C7—41no—
999C22×C7—41no—
1000C22×C7—41no—
1001C22×C7—41no—
1002C22×C7—41no—
1003C22×C7C22×#4111yescharacteristic
1004C22×C7C2×H(5,𝔽2)11yescharacteristic
1005C22×C7#58511yescharacteristic
1006C22×C7#58511yescharacteristic
1007C22×C7#58511yescharacteristic
1008C22×C7#58511yescharacteristic
1009C22×C7#58511yescharacteristic
1010C2×D7—22no—
1011C2×D7—22no—
1012C2×D7—22no—
1013C2×D7—41no—
1014C2×D7—41no—
1015C2×D7—41no—
1016C2×D7—41no—
1017C4×C7—22no—
1018C4×C7—22no—
1019C4×C7—41no—
1020C4×C7—41no—
1021C4×C7—41no—
1022C4×C7—41no—
1023C4×C7—41no—
1024C4×C7—41no—
1025C4×C7—41no—
1026C4×C7—41no—
1027C4×C7—41no—
1028C4×C7—41no—
1029Dic7—22no—
1030Dic7—41no—
1031Dic7—41no—
1032Dic7—41no—
1033Dic7—41no—
1034Dic7—41no—
1035Dic7—41no—
1036Dic7—41no—
1037Dic7—41no—
1038Dic7—41no—
1039Dic7—41no—
1040Dic7—41no—
1041Dic7—41no—
1042Dic7—41no—
1043Dic7—41no—
1044C24—71no—
1045C24C23×D711yescharacteristic
1046C24C23×D711yescharacteristic
1047C24C23×D711yescharacteristic
1048C2×D4—22no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—142no—
1058C2×D4—142no—
1059C2×D4—142no—
1060C2×D4—281no—
1061C2×D4—281no—
1062C2×D4—281no—
1063C2×D4—281no—
1064C2×D4—281no—
1065C2×D4—281no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—71no—
1070C22×C4—74no—
1071C22×C4—71no—
1072C22×C4—71no—
1073C22×C4—71no—
1074C22×C4—71no—
1075C22×C4—71no—
1076C22×C4—71no—
1077C22×C4—71no—
1078C22×C4—71no—
1079C22×C4—71no—
1080C22×C4—71no—
1081C22×C4—71no—
1082C22×C4—71no—
1083C22×C4—71no—
1084C22×C4—71no—
1085C22×C4—142no—
1086C22×C4—142no—
1087C22×C4—281no—
1088C22×C4—281no—
1089C22×C4—281no—
1090C22×C4—281no—
1091C22×C4—281no—
1092C22×C4—281no—
1093C22×C4—281no—
1094C22×C4—281no—
1095C22×C4—281no—
1096C22×C4—281no—
1097C22×C4—281no—
1098C22×C4—281no—
1099C22×C4C23×D711yescharacteristic
1100C22×C4C23×D711yescharacteristic
1101C22×C4C23×D711yescharacteristic
1102C22×C4C23×D711yescharacteristic
1103C22×C4C23×D711yescharacteristic
1104C22×C4C23×D711yescharacteristic
1105C22×C4C23×D711yescharacteristic
1106C22×C4C23×D711yescharacteristic
1107C22×C4C23×D711yescharacteristic
1108C22×C4C23×D711yescharacteristic
1109C22×C4C23×D711yescharacteristic
1110C22×C4C23×D711yescharacteristic
1111C4⋊C4—22no—
1112C4⋊C4—22no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—142no—
1121C4⋊C4—142no—
1122C4⋊C4—142no—
1123C4⋊C4—142no—
1124C4⋊C4—142no—
1125C4⋊C4—142no—
1126C4⋊C4—142no—
1127C4⋊C4—281no—
1128C4⋊C4—281no—
1129C4⋊C4—281no—
1130C4⋊C4—281no—
1131C4⋊C4—281no—
1132C4⋊C4—281no—
1133C4⋊C4—281no—
1134C4⋊C4—281no—
1135C4⋊C4—281no—
1136C4⋊C4—281no—
1137C4⋊C4—281no—
1138C4⋊C4—281no—
1139C4⋊C4—281no—
1140C4⋊C4—281no—
1141C4⋊C4—281no—
1142C4⋊C4—281no—
1143C4⋊C4—281no—
1144C4⋊C4—281no—
1145C4⋊C4—281no—
1146C4⋊C4—281no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—41no—
1154C22⋊C4—41no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
1160C22⋊C4—41no—
1161C22⋊C4—142no—
1162C22⋊C4—142no—
1163C22⋊C4—142no—
1164C22⋊C4—142no—
1165C22⋊C4—142no—
1166C22⋊C4—281no—
1167C22⋊C4—281no—
1168C22⋊C4—281no—
1169C22⋊C4—281no—
1170C22⋊C4—281no—
1171C22⋊C4—281no—
1172C22⋊C4—281no—
1173C22⋊C4—281no—
1174C22⋊C4—281no—
1175C22⋊C4—281no—
1176C22⋊C4—281no—
1177C22⋊C4—281no—
1178C22⋊C4—281no—
1179C22⋊C4—281no—
1180C22⋊C4—281no—
1181C22⋊C4—281no—
1182C22⋊C4—281no—
1183C22⋊C4—281no—
1184C22⋊C4—281no—
1185C22⋊C4—281no—
1186C22⋊C4—281no—
1187C22⋊C4—281no—
1188C22⋊C4—281no—
1189C42—22no—
1190C42—41no—
1191C42—142no—
1192C42—142no—
1193C42—281no—
1194C42—281no—
1195C42—281no—
1196C42—281no—
1197C42—281no—
1198C42—281no—
1199C42—281no—
1200C42—281no—
1201C42—281no—
1202C2×C7—81no—
1203C2×C7—81no—
1204C2×C7—81no—
1205C2×C7#345511yescharacteristic
1206C2×C7#350511yescharacteristic
1207C2×C7#351211yescharacteristic
1208C2×C7#353311yescharacteristic
1209C2×C7#354011yescharacteristic
1210C2×C7#356611yescharacteristic
1211C2×C7#356711yescharacteristic
1212D7—42no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23—21no—
1232C23—21no—
1233C23—21no—
1234C23—72no—
1235C23—141no—
1236C23—141no—
1237C23—141no—
1238C23—141no—
1239C23—141no—
1240C23—141no—
1241C23C24×D711yescharacteristic
1242D4—82no—
1243D4—82no—
1244D4—82no—
1245D4—284no—
1246D4—562no—
1247D4—562no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—72no—
1283C2×C4—82no—
1284C2×C4—141no—
1285C2×C4—141no—
1286C2×C4—141no—
1287C2×C4—141no—
1288C2×C4—141no—
1289C2×C4—141no—
1290C2×C4—141no—
1291C2×C4—141no—
1292C2×C4—141no—
1293C2×C4—141no—
1294C2×C4—141no—
1295C2×C4—141no—
1296C2×C4—141no—
1297C2×C4—141no—
1298C2×C4—141no—
1299C2×C4—141no—
1300C2×C4—141no—
1301C2×C4—141no—
1302C2×C4—141no—
1303C2×C4—141no—
1304C2×C4—141no—
1305C2×C4—141no—
1306C2×C4—141no—
1307C2×C4—141no—
1308C2×C4—141no—
1309C2×C4—141no—
1310C2×C4—141no—
1311C2×C4—141no—
1312C2×C4—141no—
1313C2×C4—141no—
1314C2×C4—141no—
1315C2×C4—141no—
1316C2×C4—141no—
1317C2×C4—141no—
1318C2×C4—141no—
1319C2×C4—141no—
1320C2×C4—141no—
1321C2×C4—141no—
1322C2×C4—141no—
1323C2×C4—141no—
1324C2×C4—141no—
1325C2×C4—141no—
1326C2×C4—141no—
1327C2×C4—141no—
1328C2×C4—284no—
1329C2×C4—284no—
1330C2×C4—284no—
1331C2×C4—284no—
1332C2×C4—562no—
1333C2×C4#654812yes—
1334C2×C4D7×#4112yes—
1335C7#3676911yescharacteristic, complemented, Sylow
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—41no—
1355C22—41no—
1356C22—41no—
1357C22—142no—
1358C22—142no—
1359C22—142no—
1360C22—281no—
1361C22—281no—
1362C22—281no—
1363C22—281no—
1364C22C2×#654811yescharacteristic
1365C22C2×D7×#4111yescharacteristic
1366C22#9061611yescharacteristic
1367C22#9061811yescharacteristic
1368C22#9061811yescharacteristic
1369C22#9061811yescharacteristic
1370C22#9062011yescharacteristic
1371C4—22no—
1372C4—22no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—142no—
1384C4—281no—
1385C4—281no—
1386C4—281no—
1387C4—281no—
1388C4—281no—
1389C4—281no—
1390C4—281no—
1391C4—281no—
1392C4—281no—
1393C4—281no—
1394C4—281no—
1395C4—281no—
1396C4—281no—
1397C4—281no—
1398C2—81no—
1399C2—81no—
1400C2—81no—
1401C2—282no—
1402C2#1174339011yescharacteristic
1403C2#1174351811yescharacteristic
1404C2#1174353511yescharacteristic
1405C2#1174373611yescharacteristic
1406C2#1174380611yescharacteristic
1407C2#1174394811yescharacteristic
1408C2#1174417411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2711C2
prime radical#11740133C2
hypercenter#2711D7
hypocenterC7#36769
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2711

Complements

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

NH ≅ G/Ntype
1. C7×#2711C2semidirect
2. #11740517C2semidirect
3. #11740494C2semidirect
5. #11740105C2semidirect
6. #11735522C2semidirect
7. #11735488C2semidirect
8. #11734835C2semidirect
9. #11734747C2semidirect
10. #11734523C2semidirect
11. #11734510C2semidirect
12. #11734503C2semidirect
13. #11734478C2semidirect
14. #11734419C2semidirect
15. #11734419C2semidirect
16. #11734402C2semidirect
17. #11734387C2semidirect
18. #11733920C2semidirect
19. #11733916C2semidirect
20. #11733857C2semidirect
21. #11733813C2semidirect
22. #11733204C2semidirect
23. #11733202C2semidirect
24. #11732915C2semidirect
25. #11732894C2semidirect
26. #11732880C2semidirect
27. #11732505C2semidirect
28. #11732012C2semidirect
29. #11732002C2semidirect
30. #11731926C2semidirect
31. #11731835C2semidirect
368. #2711D7semidirect
1335. C7#36769semidirect

Maximal subgroups

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

subgroupindex
C7×#27112
#117405172
#117404942
#117401332
#117401052
#117355222
#117354882
#117348352
#117347472
#117345232
#117345102
#117345032
#117344782
#117344192
#117344022
#117343872
#117339202
#117339162
#117338572
#117338132
#117332042
#117332022
#117329152
#117328942
#117328802
#117325052
#117320122
#117320022
#117319262
#117318352
#367697