Finite Group Databasebeta

← #13524934

Subgroups — #13524934

Order 1792.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2477C211yesmaximal, characteristic, complemented
2#11740228C211yesmaximal, characteristic, complemented
3Dic7×C22⋊Q8C211yesmaximal, characteristic, complemented
4#11739698C211yesmaximal, characteristic, complemented
5Dic7×#117C211yesmaximal, characteristic, complemented
6#11735646C211yesmaximal, characteristic, complemented
7#11735578C211yesmaximal, characteristic, complemented
8#11734968C211yesmaximal, characteristic, complemented
9#11734904C211yesmaximal, characteristic, complemented
10#11734396C211yesmaximal, characteristic
11#11734337C211yesmaximal, characteristic, complemented
12#11734248C211yesmaximal, characteristic, complemented
13#11734224C211yesmaximal, characteristic, complemented
14#11733977C211yesmaximal, characteristic, complemented
15#11733922C211yesmaximal, characteristic, complemented
16#11733085C211yesmaximal, characteristic, complemented
17#11733029C211yesmaximal, characteristic, complemented
18#11732900C211yesmaximal, characteristic, complemented
19#11732895C211yesmaximal, characteristic, complemented
20#11732556C211yesmaximal, characteristic, complemented
21#11732515C211yesmaximal, characteristic, complemented
22#11732387C211yesmaximal, characteristic, complemented
23#11732384C211yesmaximal, characteristic, complemented
24#11732212C211yesmaximal, characteristic, complemented
25#11732175C211yesmaximal, characteristic
26#11732105C211yesmaximal, characteristic
27#11732102C211yesmaximal, characteristic, complemented
28#11731895C211yesmaximal, characteristic, complemented
29#11731822C211yesmaximal, characteristic, complemented
30#11730978C211yesmaximal, characteristic, complemented
31C4×#6440C211yesmaximal, characteristic, complemented
32C2×C7×C22⋊Q8C2211yescharacteristic
33C2×C7×#117C2211yescharacteristic
34C2×Q8×Dic7C2211yescharacteristic
35C2×#6502C2211yescharacteristic
36C2×D4×Dic7C2211yescharacteristic
37C2×#6489C2211yescharacteristic
38C22×C4×Dic7C2211yescharacteristic
39C22×C4×Dic7C2211yescharacteristic
40C2×#6461C2211yescharacteristic
41C2×#6455C2211yescharacteristic
42C2×(C22⋊D7)⋊C4C2211yescharacteristic
43C2×(C22⋊D7)⋊C4C2211yescharacteristic
44C2×#6442C2211yescharacteristic
45C2×#6440C2211yescharacteristic
46C2×#6440C2211yescharacteristic
47C7×#400C2211yescharacteristic
48C7×#397C2211yescharacteristic
49C7×#394C2211yescharacteristic
50C7×#393C2211yescharacteristic
51C7×#391C2211yescharacteristic
52C7×#388C2211yescharacteristic
53C7×#388C2211yescharacteristic
54C7×#387C2211yescharacteristic
55C7×#387C2211yescharacteristic
56C7×#386C2211yescharacteristic
57C7×#386C2211yescharacteristic
58C7×#385C2211yescharacteristic
59C4×C7×C22⋊C4C2211yescharacteristic
60#90003C2211yescharacteristic
61#90002C2211yescharacteristic
62#90002C2211yescharacteristic
63#89994C2211yescharacteristic
64#89992C2211yescharacteristic
65#89985C2211yescharacteristic
66#89985C2211yescharacteristic
67#89984C2211yescharacteristic
68#89982C2211yescharacteristic
69C4×C22⋊Dic7C2211yescharacteristic
70#89764C2211yescharacteristic
71#89762C2211yescharacteristic
72#89762C2211yescharacteristic
73#89762C2211yescharacteristic
74#89757C2211yescharacteristic
75#89756C2211yescharacteristic
76#89756C2211yescharacteristic
77#89753C2211yescharacteristic
78#89753C2211yescharacteristic
79#89753C2211yescharacteristic
80#89752C2211yescharacteristic
81#89750C2211yescharacteristic
82#89750C2211yescharacteristic
83C4⋊C4×Dic7C2211yescharacteristic
84C4⋊C4×Dic7C2211yescharacteristic
85C4⋊C4×Dic7C2211yescharacteristic
86C4⋊C4×Dic7C2211yescharacteristic
87C4⋊C4×Dic7C2211yescharacteristic
88C4⋊C4×Dic7C2211yescharacteristic
89C4⋊C4×Dic7C2211yescharacteristic
90#89745C2211yescharacteristic
91#89744C2211yescharacteristic
92#89733C2211yescharacteristic
93#89733C2211yescharacteristic
94#89733C2211yescharacteristic
95#89731C2211yescharacteristic
96#89730C2211yescharacteristic
97#89729C2211yescharacteristic
98#89729C2211yescharacteristic
99#89729C2211yescharacteristic
100#89725C2211yescharacteristic
101#89725C2211yescharacteristic
102#89724C2211yescharacteristic
103#89724C2211yescharacteristic
104#89724C2211yescharacteristic
105#89723C2211yescharacteristic
106#89722C2211yescharacteristic
107#89722C2211yescharacteristic
108#89722C2211yescharacteristic
109#89721C2211yescharacteristic
110#89718C2211yescharacteristic
111#89717C2211yescharacteristic
112#89717C2211yescharacteristic
113#89716C2211yescharacteristic
114#89716C2211yescharacteristic
115#89716C2211yescharacteristic
116#89714C2211yescharacteristic
117C22⋊C4×Dic7C2211yescharacteristic
118C22⋊C4×Dic7C2211yescharacteristic
119C22⋊C4×Dic7C2211yescharacteristic
120C22⋊C4×Dic7C2211yescharacteristic
121C22⋊C4×Dic7C2211yescharacteristic
122C22⋊C4×Dic7C2211yescharacteristic
123C22⋊C4×Dic7C2211yescharacteristic
124C22⋊C4×Dic7C2211yescharacteristic
125C22⋊C4×Dic7C2211yescharacteristic
126C22⋊C4×Dic7C2211yescharacteristic
127#89712C2211yescharacteristic
128#89712C2211yescharacteristic
129#89712C2211yescharacteristic
130#89705C2211yescharacteristic
131#89704C2211yescharacteristic
132#89704C2211yescharacteristic
133C4×Dic7⋊C4C2211yescharacteristic
134C4×Dic7⋊C4C2211yescharacteristic
135C42×Dic7C2211yescharacteristic
136C42×Dic7C2211yescharacteristic
137C42×Dic7C2211yescharacteristic
138#89700C2211yescharacteristic
139#89447C2211yescharacteristic
140#89446C2211yescharacteristic
141#89442C2211yescharacteristic
142#89442C2211yescharacteristic
143#89442C2211yescharacteristic
144#89442C2211yescharacteristic
145#89441C2211yescharacteristic
146#89441C2211yescharacteristic
147#89438C2211yescharacteristic
148#89438C2211yescharacteristic
149#89438C2211yescharacteristic
150#89438C2211yescharacteristic
151#89432C2211yescharacteristic
152#89432C2211yescharacteristic
153#89432C2211yescharacteristic
154#89432C2211yescharacteristic
155#89430C2211yescharacteristic
156#89430C2211yescharacteristic
157#89430C2211yescharacteristic
158#89429C2211yescharacteristic
159#89429C2211yescharacteristic
160#89429C2211yescharacteristic
161#89427C2211yescharacteristic
162#89427C2211yescharacteristic
163#89426C2211yescharacteristic
164#89426C2211yescharacteristic
165#89426C2211yescharacteristic
166#89426C2211yescharacteristic
167#89426C2211yescharacteristic
168#89425C2211yescharacteristic
169#89425C2211yescharacteristic
170#89425C2211yescharacteristic
171#89425C2211yescharacteristic
172#89425C2211yescharacteristic
173#89423C2211yescharacteristic
174#89423C2211yescharacteristic
175#89421C2211yescharacteristic
176#89421C2211yescharacteristic
177#89421C2211yescharacteristic
178#89421C2211yescharacteristic
179#89421C2211yescharacteristic
180#89421C2211yescharacteristic
181#89421C2211yescharacteristic
182#89420C2211yescharacteristic
183#89420C2211yescharacteristic
184#89420C2211yescharacteristic
185#89419C2211yescharacteristic
186#89419C2211yescharacteristic
187#34884—71nomaximal, Sylow
188C22×C7×Q8C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C23×Dic7C2311yescharacteristic
195C23×Dic7C2311yescharacteristic
196C23×Dic7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C22×C4×D7C2311yescharacteristic
199C7×C22⋊Q8—24no—
200C7×#117—24no—
201C2×C7×C4⋊C4C2311yescharacteristic
202C2×C7×C4⋊C4C2311yescharacteristic
203C2×C7×C4⋊C4C2311yescharacteristic
204C2×C7×C4⋊C4C2311yescharacteristic
205C2×C7×C4⋊C4C2311yescharacteristic
206C2×C7×C4⋊C4C2311yescharacteristic
207C2×C7×C22⋊C4C2311yescharacteristic
208C2×C7×C22⋊C4C2311yescharacteristic
209C2×C7×C22⋊C4C2311yescharacteristic
210C2×C7×C22⋊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×C42×C7C2311yescharacteristic
218C2×C42×C7C2311yescharacteristic
219C2×C42×C7C2311yescharacteristic
220C2×C22⋊Dic7C2311yescharacteristic
221C2×C22⋊Dic7C2311yescharacteristic
222C2×C22⋊Dic7C2311yescharacteristic
223C2×C22⋊Dic7C2311yescharacteristic
224C2×C22⋊Dic7C2311yescharacteristic
225C2×C22⋊Dic7C2311yescharacteristic
226C2×C22⋊Dic7C2311yescharacteristic
227C2×C22⋊Dic7C2311yescharacteristic
228C2×C22⋊Dic7C2311yescharacteristic
229C2×C22⋊Dic7C2311yescharacteristic
230Q8×Dic7—24no—
231#6502—24no—
232D4×Dic7—24no—
233C2×(C2×D7)⋊C4C2311yescharacteristic
234C2×(C2×D7)⋊C4C2311yescharacteristic
235C2×(C2×D7)⋊C4C2311yescharacteristic
236C2×(C2×D7)⋊C4C2311yescharacteristic
237C2×(C2×D7)⋊C4C2311yescharacteristic
238C2×(C2×D7)⋊C4C2311yescharacteristic
239C2×(C2×D7)⋊C4C2311yescharacteristic
240C2×(C2×D7)⋊C4C2311yescharacteristic
241C2×(C2×D7)⋊C4C2311yescharacteristic
242C2×(C2×D7)⋊C4C2311yescharacteristic
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
245#6489—24no—
246C2×C4⋊Dic7C2311yescharacteristic
247C2×C4⋊Dic7C2311yescharacteristic
248C2×C4⋊Dic7C2311yescharacteristic
249C2×C4⋊Dic7C2311yescharacteristic
250C2×C4⋊Dic7C2311yescharacteristic
251C2×C4⋊Dic7C2311yescharacteristic
252C2×C4⋊Dic7C2311yescharacteristic
253C2×C4⋊Dic7C2311yescharacteristic
254C2×C4⋊Dic7C2311yescharacteristic
255C2×C4⋊Dic7C2311yescharacteristic
256C2×Dic7⋊C4C2311yescharacteristic
257C2×Dic7⋊C4C2311yescharacteristic
258C2×Dic7⋊C4C2311yescharacteristic
259C2×Dic7⋊C4C2311yescharacteristic
260C2×Dic7⋊C4C2311yescharacteristic
261C2×Dic7⋊C4C2311yescharacteristic
262C2×Dic7⋊C4C2311yescharacteristic
263C2×Dic7⋊C4C2311yescharacteristic
264C2×Dic7⋊C4C2311yescharacteristic
265C2×Dic7⋊C4C2311yescharacteristic
266C2×Dic7⋊C4C2311yescharacteristic
267C2×Dic7⋊C4C2311yescharacteristic
268C2×Dic7⋊C4C2311yescharacteristic
269C2×Dic7⋊C4C2311yescharacteristic
270C2×Dic7⋊C4C2311yescharacteristic
271C2×Dic7⋊C4C2311yescharacteristic
272C2×C4×Dic7—24no—
273C2×C4×Dic7—24no—
274C2×C4×Dic7C2311yescharacteristic
275C2×C4×Dic7C2311yescharacteristic
276C2×C4×Dic7C2311yescharacteristic
277C2×C4×Dic7C2311yescharacteristic
278C2×C4×Dic7C2311yescharacteristic
279C2×C4×Dic7C2311yescharacteristic
280C2×C4×Dic7C2311yescharacteristic
281C2×C4×Dic7C2311yescharacteristic
282C2×C4×Dic7C2311yescharacteristic
283C2×C4×Dic7C2311yescharacteristic
284C2×C4×Dic7C2311yescharacteristic
285C2×C4×Dic7C2311yescharacteristic
286C2×C4×Dic7C2311yescharacteristic
287C2×C4×Dic7C2311yescharacteristic
288C2×C4×Dic7C2311yescharacteristic
289C2×C4×Dic7C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291C2×C4×Dic7C2311yescharacteristic
292C2×C4×Dic7C2311yescharacteristic
293C2×C4×Dic7C2311yescharacteristic
294C2×C4×Dic7C2311yescharacteristic
295C2×C4×Dic7C2311yescharacteristic
296C2×C4×Dic7C2311yescharacteristic
297C2×C4×Dic7C2311yescharacteristic
298C2×C4×Dic7C2311yescharacteristic
299#6461—24no—
300#6455—24no—
301(C22⋊D7)⋊C4—24no—
302(C22⋊D7)⋊C4—24no—
303#6442—24no—
304#6440—24no—
305#6440—24no—
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
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358#2597—71no—
359#2596—71no—
360#2590—71no—
361#2589—71no—
362#2578—71no—
363#2577—71no—
364#2560—71no—
365#2559—71no—
366#2533—71no—
367#2532—71no—
368#2531—71no—
369#2530—71no—
370#2479—71no—
371#2478—71no—
372#2477D711yescharacteristic, complemented
373#2476—71no—
374#2402—71no—
375#2398—71no—
376#2395—71no—
377#2395—71no—
378C4×#126—71no—
379C4×#126—71no—
380C4×C22⋊Q8—71no—
381C4×#121—71no—
382#2298—71no—
383#2295—71no—
384#2293—71no—
385#2290—71no—
386#2290—71no—
387C4×#117—71no—
388C4×#117—71no—
389C24×C7C2411yescharacteristic
390C24×C7C2411yescharacteristic
391C23×D7C2411yescharacteristic
392C2×C7×Q8—22no—
393C2×C7×Q8—22no—
394C2×C7×Q8—41no—
395C2×C7×D4—22no—
396C2×C7×D4—22no—
397C2×C7×D4—41no—
398C22×C4×C7—22no—
399C22×C4×C7—22no—
400C22×C4×C7—22no—
401C22×C4×C7—22no—
402C22×C4×C7—22no—
403C22×C4×C7—41no—
404C22×C4×C7C2411yescharacteristic
405C22×C4×C7C2411yescharacteristic
406C22×C4×C7C2411yescharacteristic
407C22×C4×C7C2411yescharacteristic
408C22×C4×C7C2411yescharacteristic
409C22×C4×C7C2411yescharacteristic
410C22×C4×C7C2411yescharacteristic
411C22×C4×C7C2411yescharacteristic
412C22×C4×C7C2411yescharacteristic
413C22×C4×C7C2411yescharacteristic
414C22×C4×C7C2411yescharacteristic
415C22×C4×C7C2411yescharacteristic
416C22×C4×C7C2411yescharacteristic
417C2×C22⋊D7—22no—
418C2×C22⋊D7—22no—
419C2×C22⋊D7—22no—
420C2×C22⋊D7—22no—
421C2×C22⋊D7—41no—
422C2×C22⋊D7—41no—
423C22×Dic7—22no—
424C22×Dic7—22no—
425C22×Dic7—22no—
426C22×Dic7—22no—
427C22×Dic7—22no—
428C22×Dic7—22no—
429C22×Dic7—22no—
430C22×Dic7—22no—
431C22×Dic7—41no—
432C22×Dic7—41no—
433C22×Dic7—41no—
434C22×Dic7#4114yes—
435C22×Dic7C2411yescharacteristic
436C22×Dic7C2411yescharacteristic
437C22×Dic7C2411yescharacteristic
438C22×Dic7C2411yescharacteristic
439C22×Dic7C2411yescharacteristic
440C22×Dic7C2411yescharacteristic
441C22×Dic7C2411yescharacteristic
442C22×Dic7C2411yescharacteristic
443C22×Dic7C2411yescharacteristic
444C22×Dic7C2411yescharacteristic
445C22×Dic7C2411yescharacteristic
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C2×C4×D7—22no—
451C2×C4×D7—22no—
452C2×C4×D7—22no—
453C7×C4⋊C4—22no—
454C7×C4⋊C4—22no—
455C7×C4⋊C4—22no—
456C7×C4⋊C4—22no—
457C7×C4⋊C4—41no—
458C7×C4⋊C4#4114yes—
459C7×C22⋊C4—22no—
460C7×C22⋊C4—22no—
461C7×C22⋊C4—22no—
462C7×C22⋊C4—22no—
463C7×C22⋊C4—22no—
464C7×C22⋊C4—22no—
465C7×C22⋊C4—22no—
466C7×C22⋊C4—22no—
467C7×C22⋊C4—22no—
468C7×C22⋊C4—41no—
469C42×C7—22no—
470C42×C7—22no—
471C42×C7—41no—
472C22⋊Dic7—22no—
473C22⋊Dic7—22no—
474C22⋊Dic7—22no—
475C22⋊Dic7—22no—
476C22⋊Dic7—22no—
477C22⋊Dic7—22no—
478C22⋊Dic7—41no—
479C22⋊Dic7—41no—
480C22⋊Dic7—41no—
481C22⋊Dic7#4114yes—
482(C2×D7)⋊C4—22no—
483(C2×D7)⋊C4—22no—
484(C2×D7)⋊C4—22no—
485(C2×D7)⋊C4—22no—
486(C2×D7)⋊C4—22no—
487(C2×D7)⋊C4—22no—
488(C2×D7)⋊C4—22no—
489(C2×D7)⋊C4—22no—
490(C2×D7)⋊C4—41no—
491(C2×D7)⋊C4—41no—
492(C2×D7)⋊C4—41no—
493(C2×D7)⋊C4—41no—
494C4⋊Dic7—22no—
495C4⋊Dic7—22no—
496C4⋊Dic7—22no—
497C4⋊Dic7—22no—
498C4⋊Dic7—22no—
499C4⋊Dic7—22no—
500C4⋊Dic7—22no—
501C4⋊Dic7—22no—
502C4⋊Dic7—22no—
503C4⋊Dic7—41no—
504Dic7⋊C4—22no—
505Dic7⋊C4—22no—
506Dic7⋊C4—22no—
507Dic7⋊C4—22no—
508Dic7⋊C4—22no—
509Dic7⋊C4—22no—
510Dic7⋊C4—22no—
511Dic7⋊C4—22no—
512Dic7⋊C4—22no—
513Dic7⋊C4—22no—
514Dic7⋊C4—41no—
515Dic7⋊C4—41no—
516Dic7⋊C4—41no—
517Dic7⋊C4—41no—
518Dic7⋊C4—41no—
519Dic7⋊C4—41no—
520C4×Dic7—22no—
521C4×Dic7—22no—
522C4×Dic7—22no—
523C4×Dic7—22no—
524C4×Dic7—22no—
525C4×Dic7—22no—
526C4×Dic7—22no—
527C4×Dic7—22no—
528C4×Dic7—22no—
529C4×Dic7—22no—
530C4×Dic7—22no—
531C4×Dic7—22no—
532C4×Dic7—22no—
533C4×Dic7—22no—
534C4×Dic7—22no—
535C4×Dic7—22no—
536C4×Dic7—22no—
537C4×Dic7—22no—
538C4×Dic7—41no—
539C4×Dic7—41no—
540C4×Dic7—41no—
541C4×Dic7—41no—
542C4×Dic7—41no—
543C4×Dic7#4114yes—
544C4×Dic7#4114yes—
545C2×#126—71no—
546C2×#126—71no—
547C2×C22⋊Q8C2×D711yescharacteristic
548C2×#121—71no—
549C2×C4×Q8—71no—
550C2×C4×D4—71no—
551C2×C4×D4—71no—
552C2×C4×D4—71no—
553C2×#117—71no—
554C2×#117—71no—
555C2×#117—71no—
556C2×#117—71no—
557C2×#117C2×D711yescharacteristic
558C22×C42—71no—
559C22×C42—71no—
560#400—71no—
561#400—71no—
562#400—71no—
563#400—71no—
564#400—71no—
565#400—71no—
566#400—71no—
567#400C2×D711yescharacteristic
568#399—71no—
569#399—71no—
570#398—71no—
571#398—71no—
572#398—71no—
573#398—71no—
574#398—71no—
575#398—71no—
576#397—71no—
577#397—71no—
578#397—71no—
579#397—71no—
580#397—71no—
581#397—71no—
582#397—71no—
583#397C2×D711yescharacteristic
584#394—71no—
585#394—71no—
586#394—71no—
587#394—71no—
588#394—71no—
589#394C2×D711yescharacteristic
590#393—71no—
591#393C2×D711yescharacteristic
592#391—71no—
593#391—71no—
594#391C2×D711yescharacteristic
595#390—71no—
596#390—71no—
597#390—71no—
598#389—71no—
599#389—71no—
600#389—71no—
601#389—71no—
602#389—71no—
603#389—71no—
604#388—71no—
605#388—71no—
606#388—71no—
607#388—71no—
608#388—71no—
609#388—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#388C2×D711yescharacteristic
623#388C2×D711yescharacteristic
624#387—71no—
625#387—71no—
626#387—71no—
627#387—71no—
628#387—71no—
629#387—71no—
630#387—71no—
631#387—71no—
632#387—71no—
633#387—71no—
634#387—71no—
635#387—71no—
636#387—71no—
637#387—71no—
638#387—71no—
639#387—71no—
640#387—71no—
641#387—71no—
642#387C2×D711yescharacteristic
643#387C2×D711yescharacteristic
644#386—71no—
645#386—71no—
646#386—71no—
647#386—71no—
648#386C2×D711yescharacteristic
649#386C2×D711yescharacteristic
650#385—71no—
651#385—71no—
652#385—71no—
653#385—71no—
654#385—71no—
655#385C2×D711yescharacteristic
656#383—71no—
657#383—71no—
658#380—71no—
659#380—71no—
660C4×C4⋊C4—71no—
661C4×C4⋊C4—71no—
662C4×C4⋊C4—71no—
663C4×C4⋊C4—71no—
664C4×C4⋊C4—71no—
665C4×C4⋊C4—71no—
666C4×C4⋊C4—71no—
667C4×C4⋊C4—71no—
668C4×C4⋊C4—71no—
669C4×C4⋊C4—71no—
670C4×C4⋊C4—71no—
671C4×C4⋊C4—71no—
672C4×C4⋊C4—71no—
673C4×C4⋊C4—71no—
674C4×C4⋊C4—71no—
675C4×C4⋊C4—71no—
676C4×C22⋊C4—71no—
677C4×C22⋊C4—71no—
678C4×C22⋊C4—71no—
679C4×C22⋊C4—71no—
680C4×C22⋊C4—71no—
681C4×C22⋊C4—71no—
682C4×C22⋊C4—71no—
683C4×C22⋊C4—71no—
684C4×C22⋊C4—71no—
685C4×C22⋊C4—71no—
686C4×C22⋊C4—71no—
687C4×C22⋊C4—71no—
688C4×C22⋊C4—71no—
689C4×C22⋊C4—71no—
690C4×C22⋊C4—71no—
691C4×C22⋊C4C2×D711yescharacteristic
692#376—71no—
693#376—71no—
694#376—71no—
695#376—71no—
696#376—71no—
697C43—71no—
698C43—71no—
699C43—71no—
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×C7C2×#4112yes—
713C23×C7C2×#4112yes—
714C23×C7C2511yescharacteristic
715C22×D7—21no—
716C22×D7—21no—
717C22×D7—21no—
718C22×D7—21no—
719C22×D7—21no—
720C22×D7—21no—
721C22×D7—21no—
722C7×Q8—44no—
723C7×D4—44no—
724C2×C4×C7—28no—
725C2×C4×C7—21no—
726C2×C4×C7—21no—
727C2×C4×C7—21no—
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—44no—
760C2×C4×C7C2×#4112yes—
761C2×C4×C7C2×#4112yes—
762C2×C4×C7C2×#4112yes—
763C2×C4×C7C2×#4112yes—
764C2×C4×C7C2×#4112yes—
765C22⋊D7—44no—
766C22⋊D7—44no—
767C2×Dic7—21no—
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—28no—
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—44no—
806C2×Dic7—44no—
807C2×Dic7—44no—
808C2×Dic7C2×#4112yes—
809C2×Dic7C2×#4112yes—
810C2×Dic7C2×#4112yes—
811C2×Dic7C2×#4112yes—
812C2×Dic7C2×#4112yes—
813C2×Dic7C2×#4112yes—
814C2×Dic7C2×#4112yes—
815C2×Dic7C2×#4112yes—
816C4×D7—44no—
817C22×Q8C22×D711yescharacteristic
818C22×D4—71no—
819C22×D4—71no—
820C22×D4C22×D711yescharacteristic
821C23×C4—71no—
822C23×C4—71no—
823C23×C4—71no—
824C23×C4—71no—
825C23×C4—71no—
826C23×C4C22×D711yescharacteristic
827C23×C4C22×D711yescharacteristic
828#126—144no—
829#126—144no—
830C22⋊Q8—24no—
831#121—144no—
832C4×Q8—144no—
833C4×D4—144no—
834C4×D4—144no—
835C4×D4—144no—
836#117—24no—
837#117—144no—
838#117—144no—
839#117—144no—
840#117—144no—
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⋊C4—71no—
866C2×C4⋊C4—71no—
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×C22⋊C4—71no—
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⋊C4C22×D711yescharacteristic
896C2×C22⋊C4C22×D711yescharacteristic
897C2×C22⋊C4C22×D711yescharacteristic
898C2×C22⋊C4C22×D711yescharacteristic
899C2×C22⋊C4C22×D711yescharacteristic
900C2×C22⋊C4C22×D711yescharacteristic
901C2×C22⋊C4C22×D711yescharacteristic
902C2×C22⋊C4C22×D711yescharacteristic
903C2×C22⋊C4C22×D711yescharacteristic
904C2×C22⋊C4C22×D711yescharacteristic
905C2×C42—71no—
906C2×C42—71no—
907C2×C42—71no—
908C2×C42—71no—
909C2×C42—71no—
910C2×C42—71no—
911C2×C42—71no—
912C2×C42—71no—
913C2×C42—71no—
914C2×C42—71no—
915C2×C42—71no—
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—71no—
928C2×C42—71no—
929C2×C42—71no—
930C2×C42—144no—
931C2×C42—144no—
932C2×C42C22×D711yescharacteristic
933C2×C42C22×D711yescharacteristic
934C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
976#95C22×D711yescharacteristic
977#95C22×D711yescharacteristic
978#95C22×D711yescharacteristic
979#95C22×D711yescharacteristic
980#95C22×D711yescharacteristic
981#95C22×D711yescharacteristic
982#95C22×D711yescharacteristic
983#95C22×D711yescharacteristic
984#95C22×D711yescharacteristic
985#95C22×D711yescharacteristic
986#95C22×D711yescharacteristic
987C22×C7—22no—
988C22×C7—22no—
989C22×C7—22no—
990C22×C7—22no—
991C22×C7—22no—
992C22×C7—22no—
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×C7C22×#4111yescharacteristic
1002C22×C7C22×#4111yescharacteristic
1003C22×C7C22×#4111yescharacteristic
1004C22×C7C22×#4111yescharacteristic
1005C22×C7C22×#4111yescharacteristic
1006C22×C7#58511yescharacteristic
1007C22×C7#58511yescharacteristic
1008C2×D7—41no—
1009C2×D7—41no—
1010C2×D7—41no—
1011C2×D7—41no—
1012C2×D7—41no—
1013C2×D7—41no—
1014C2×D7—41no—
1015C4×C7—22no—
1016C4×C7—22no—
1017C4×C7—22no—
1018C4×C7—22no—
1019C4×C7—22no—
1020C4×C7—41no—
1021C4×C7—41no—
1022C4×C7—41no—
1023C4×C7—41no—
1024C4×C7—41no—
1025C4×C7—41no—
1026C4×C7—41no—
1027C4×C7—41no—
1028Dic7—22no—
1029Dic7—22no—
1030Dic7—22no—
1031Dic7—22no—
1032Dic7—22no—
1033Dic7—41no—
1034Dic7—41no—
1035Dic7—41no—
1036Dic7—41no—
1037Dic7—41no—
1038Dic7—41no—
1039Dic7—41no—
1040Dic7—41no—
1041Dic7—41no—
1042Dic7#52914yes—
1043C24—71no—
1044C24C23×D711yescharacteristic
1045C24C23×D711yescharacteristic
1046C2×Q8—22no—
1047C2×Q8—22no—
1048C2×Q8—41no—
1049C2×D4—22no—
1050C2×D4—22no—
1051C2×D4—41no—
1052C2×D4—142no—
1053C2×D4—142no—
1054C2×D4—142no—
1055C2×D4—142no—
1056C2×D4—281no—
1057C2×D4—281no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—41no—
1064C22×C4—71no—
1065C22×C4—74no—
1066C22×C4—71no—
1067C22×C4—71no—
1068C22×C4—71no—
1069C22×C4—71no—
1070C22×C4—71no—
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—142no—
1081C22×C4—142no—
1082C22×C4—142no—
1083C22×C4—142no—
1084C22×C4—142no—
1085C22×C4—142no—
1086C22×C4—142no—
1087C22×C4—142no—
1088C22×C4—142no—
1089C22×C4—142no—
1090C22×C4—142no—
1091C22×C4—281no—
1092C22×C4—281no—
1093C22×C4—281no—
1094C22×C4C23×D711yescharacteristic
1095C22×C4C23×D711yescharacteristic
1096C22×C4C23×D711yescharacteristic
1097C22×C4C23×D711yescharacteristic
1098C22×C4C23×D711yescharacteristic
1099C22×C4C23×D711yescharacteristic
1100C22×C4C23×D711yescharacteristic
1101C22×C4C23×D711yescharacteristic
1102C22×C4C23×D711yescharacteristic
1103C22×C4C23×D711yescharacteristic
1104C22×C4C23×D711yescharacteristic
1105C22×C4C23×D711yescharacteristic
1106C22×C4C23×D711yescharacteristic
1107C4⋊C4—22no—
1108C4⋊C4—22no—
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—41no—
1112C4⋊C4—142no—
1113C4⋊C4—142no—
1114C4⋊C4—142no—
1115C4⋊C4—142no—
1116C4⋊C4—142no—
1117C4⋊C4—142no—
1118C4⋊C4—142no—
1119C4⋊C4—142no—
1120C4⋊C4—142no—
1121C4⋊C4—142no—
1122C4⋊C4—142no—
1123C4⋊C4—142no—
1124C4⋊C4—142no—
1125C4⋊C4—142no—
1126C4⋊C4—142no—
1127C4⋊C4—142no—
1128C4⋊C4—142no—
1129C4⋊C4—142no—
1130C4⋊C4—142no—
1131C4⋊C4—281no—
1132C4⋊C4—281no—
1133C4⋊C4—281no—
1134C4⋊C4—281no—
1135C4⋊C4—281no—
1136C4⋊C4—281no—
1137C4⋊C4—281no—
1138C4⋊C4#115914yes—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—22no—
1146C22⋊C4—22no—
1147C22⋊C4—22no—
1148C22⋊C4—41no—
1149C22⋊C4—74no—
1150C22⋊C4—142no—
1151C22⋊C4—142no—
1152C22⋊C4—142no—
1153C22⋊C4—142no—
1154C22⋊C4—142no—
1155C22⋊C4—142no—
1156C22⋊C4—142no—
1157C22⋊C4—142no—
1158C22⋊C4—142no—
1159C22⋊C4—142no—
1160C22⋊C4—142no—
1161C22⋊C4—142no—
1162C22⋊C4—142no—
1163C22⋊C4—142no—
1164C22⋊C4—281no—
1165C22⋊C4—281no—
1166C22⋊C4—281no—
1167C22⋊C4—281no—
1168C22⋊C4—281no—
1169C22⋊C4—281no—
1170C22⋊C4—281no—
1171C42—22no—
1172C42—22no—
1173C42—41no—
1174C42—74no—
1175C42—74no—
1176C42—142no—
1177C42—142no—
1178C42—142no—
1179C42—142no—
1180C42—142no—
1181C42—142no—
1182C42—142no—
1183C42—142no—
1184C42—142no—
1185C42—142no—
1186C42—142no—
1187C42—142no—
1188C42—142no—
1189C42—142no—
1190C42—142no—
1191C42—142no—
1192C42—142no—
1193C42—142no—
1194C42—281no—
1195C42—281no—
1196C42—281no—
1197C42—281no—
1198C42—281no—
1199C2×C7—42no—
1200C2×C7—42no—
1201C2×C7C2×#52911yescharacteristic
1202C2×C7#344411yescharacteristic
1203C2×C7#345511yescharacteristic
1204C2×C7#347511yescharacteristic
1205C2×C7#347511yescharacteristic
1206C2×C7#347511yescharacteristic
1207C2×C7#348011yescharacteristic
1208D7—81no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—141no—
1222C23—141no—
1223C23—141no—
1224C23—141no—
1225C23—141no—
1226C23—141no—
1227C23—141no—
1228C23D7×#4112yes—
1229C23D7×#4112yes—
1230C23C24×D711yescharacteristic
1231Q8—44no—
1232D4—44no—
1233D4—284no—
1234D4—284no—
1235C2×C4—28no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
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—44no—
1271C2×C4—72no—
1272C2×C4—72no—
1273C2×C4—72no—
1274C2×C4—72no—
1275C2×C4—72no—
1276C2×C4—72no—
1277C2×C4—72no—
1278C2×C4—72no—
1279C2×C4—148no—
1280C2×C4—141no—
1281C2×C4—141no—
1282C2×C4—141no—
1283C2×C4—141no—
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—284no—
1318C2×C4—284no—
1319C2×C4—284no—
1320C2×C4—284no—
1321C2×C4C2×#115912yes—
1322C2×C4C2×#115912yes—
1323C2×C4C2×#115912yes—
1324C2×C4D7×#4112yes—
1325C2×C4D7×#4112yes—
1326C7#3488411yescharacteristic, complemented, Sylow
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—22no—
1331C22—22no—
1332C22—22no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—281no—
1342C22—281no—
1343C22—281no—
1344C22—281no—
1345C22—281no—
1346C22—281no—
1347C22—281no—
1348C22C22×#115911yescharacteristic
1349C22C2×D7×#4111yescharacteristic
1350C22C2×D7×#4111yescharacteristic
1351C22C2×D7×#4111yescharacteristic
1352C22C2×D7×#4111yescharacteristic
1353C22#9061811yescharacteristic
1354C22#9062011yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—74no—
1369C4—142no—
1370C4—142no—
1371C4—142no—
1372C4—142no—
1373C4—142no—
1374C4—281no—
1375C4—281no—
1376C4—281no—
1377C4—281no—
1378C4—281no—
1379C4—281no—
1380C4—281no—
1381C4—281no—
1382C4—281no—
1383C2—42no—
1384C2—42no—
1385C2—561no—
1386C2#1174308611yescharacteristic
1387C2D7×#52911yescharacteristic
1388C2#1174359111yescharacteristic
1389C2#1174369511yescharacteristic
1390C2#1174377911yescharacteristic
1391C2#1174385811yescharacteristic
1392C2#1174389511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2477C2
prime radicalC2×#6502C22
hypercenter#2477D7
hypocenterC7#34884
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2477

Complements

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

NH ≅ G/Ntype
1. C7×#2477C2semidirect
2. #11740228C2semidirect
3. Dic7×C22⋊Q8C2semidirect
4. #11739698C2semidirect
5. Dic7×#117C2semidirect
6. #11735646C2semidirect
7. #11735578C2semidirect
8. #11734968C2semidirect
9. #11734904C2semidirect
11. #11734337C2semidirect
12. #11734248C2semidirect
13. #11734224C2semidirect
14. #11733977C2semidirect
15. #11733922C2semidirect
16. #11733085C2semidirect
17. #11733029C2semidirect
18. #11732900C2semidirect
19. #11732895C2semidirect
20. #11732556C2semidirect
21. #11732515C2semidirect
22. #11732387C2semidirect
23. #11732384C2semidirect
24. #11732212C2semidirect
27. #11732102C2semidirect
28. #11731895C2semidirect
29. #11731822C2semidirect
30. #11730978C2semidirect
31. C4×#6440C2semidirect
372. #2477D7semidirect
1326. C7#34884semidirect

Maximal subgroups

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

subgroupindex
C7×#24772
#117402282
Dic7×C22⋊Q82
#117396982
Dic7×#1172
#117356462
#117355782
#117349682
#117349042
#117343962
#117343372
#117342482
#117342242
#117339772
#117339222
#117330852
#117330292
#117329002
#117328952
#117325562
#117325152
#117323872
#117323842
#117322122
#117321752
#117321052
#117321022
#117318952
#117318222
#117309782
C4×#64402
#348847