Finite Group Databasebeta

← #13524937

Subgroups — #13524937

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×#2395C211yesmaximal, characteristic, complemented
2C4×#6502C211yesmaximal, characteristic
3#11739764C211yesmaximal, characteristic, complemented
4#11739719C211yesmaximal, characteristic, complemented
5Dic7×#117C211yesmaximal, characteristic, complemented
6#11735641C211yesmaximal, characteristic, complemented
7#11735621C211yesmaximal, characteristic, complemented
8#11735488C211yesmaximal, characteristic, complemented
9#11735472C211yesmaximal, characteristic, complemented
10#11735250C211yesmaximal, characteristic, complemented
11#11735207C211yesmaximal, characteristic, complemented
12#11734976C211yesmaximal, characteristic, complemented
13#11734969C211yesmaximal, characteristic, complemented
14#11734968C211yesmaximal, characteristic, complemented
15#11734957C211yesmaximal, characteristic, complemented
16#11734954C211yesmaximal, characteristic, complemented
17#11734922C211yesmaximal, characteristic, complemented
18#11734399C211yesmaximal, characteristic, complemented
19#11734397C211yesmaximal, characteristic
20#11734387C211yesmaximal, characteristic, complemented
21#11734374C211yesmaximal, characteristic
22#11731115C211yesmaximal, characteristic, complemented
23C4×#6461C211yesmaximal, characteristic, complemented
24#11731064C211yesmaximal, characteristic, complemented
25C4×#6455C211yesmaximal, characteristic, complemented
26#11731007C211yesmaximal, characteristic, complemented
27#11731007C211yesmaximal, characteristic, complemented
28#11730926C211yesmaximal, characteristic, complemented
29C4×#6442C211yesmaximal, characteristic, complemented
30C4×#6441C211yesmaximal, characteristic, complemented
31#11730885C211yesmaximal, characteristic, complemented
32C2×C4×C7×D4C2211yescharacteristic
33C2×C7×#117C2211yescharacteristic
34C2×#6502C2211yescharacteristic
35C2×C4×C22⋊D7C2211yescharacteristic
36C2×C4×C22⋊D7C2211yescharacteristic
37C2×#6489C2211yescharacteristic
38C2×#6489C2211yescharacteristic
39C22×C4×Dic7C2211yescharacteristic
40C2×#6461C2211yescharacteristic
41C2×#6455C2211yescharacteristic
42C2×#6455C2211yescharacteristic
43C2×#6442C2211yescharacteristic
44C2×#6441C2211yescharacteristic
45C2×C42×D7C2211yescharacteristic
46C2×C4×Dic14C2211yescharacteristic
47C7×#400C2211yescharacteristic
48C7×#399C2211yescharacteristic
49C7×#398C2211yescharacteristic
50C7×#397C2211yescharacteristic
51C7×#397C2211yescharacteristic
52C7×#397C2211yescharacteristic
53C7×#394C2211yescharacteristic
54C7×#394C2211yescharacteristic
55C4×C7×C4⋊C4C2211yescharacteristic
56C4×C7×C4⋊C4C2211yescharacteristic
57C4×C7×C22⋊C4C2211yescharacteristic
58C4×C7×C22⋊C4C2211yescharacteristic
59C4×C7×C22⋊C4C2211yescharacteristic
60#89993C2211yescharacteristic
61#89993C2211yescharacteristic
62#89992C2211yescharacteristic
63C4×C22⋊Dic7C2211yescharacteristic
64C4×C22⋊Dic7C2211yescharacteristic
65C4×C22⋊Dic7C2211yescharacteristic
66#89765C2211yescharacteristic
67#89764C2211yescharacteristic
68#89762C2211yescharacteristic
69#89762C2211yescharacteristic
70#89757C2211yescharacteristic
71#89757C2211yescharacteristic
72#89756C2211yescharacteristic
73#89755C2211yescharacteristic
74#89754C2211yescharacteristic
75#89754C2211yescharacteristic
76#89753C2211yescharacteristic
77#89752C2211yescharacteristic
78#89752C2211yescharacteristic
79#89750C2211yescharacteristic
80#89750C2211yescharacteristic
81#89750C2211yescharacteristic
82C4⋊C4×Dic7C2211yescharacteristic
83C4⋊C4×Dic7C2211yescharacteristic
84C4⋊C4×Dic7C2211yescharacteristic
85C4⋊C4×Dic7C2211yescharacteristic
86C4⋊C4×Dic7C2211yescharacteristic
87C4⋊C4×Dic7C2211yescharacteristic
88#89744C2211yescharacteristic
89#89744C2211yescharacteristic
90#89744C2211yescharacteristic
91#89733C2211yescharacteristic
92#89731C2211yescharacteristic
93#89731C2211yescharacteristic
94#89731C2211yescharacteristic
95#89730C2211yescharacteristic
96#89729C2211yescharacteristic
97#89728C2211yescharacteristic
98#89728C2211yescharacteristic
99#89728C2211yescharacteristic
100#89728C2211yescharacteristic
101#89724C2211yescharacteristic
102#89724C2211yescharacteristic
103#89724C2211yescharacteristic
104#89723C2211yescharacteristic
105#89723C2211yescharacteristic
106#89723C2211yescharacteristic
107#89723C2211yescharacteristic
108#89723C2211yescharacteristic
109#89722C2211yescharacteristic
110#89719C2211yescharacteristic
111#89718C2211yescharacteristic
112#89717C2211yescharacteristic
113#89717C2211yescharacteristic
114#89717C2211yescharacteristic
115#89717C2211yescharacteristic
116#89717C2211yescharacteristic
117#89717C2211yescharacteristic
118#89717C2211yescharacteristic
119#89717C2211yescharacteristic
120#89716C2211yescharacteristic
121#89716C2211yescharacteristic
122#89716C2211yescharacteristic
123#89714C2211yescharacteristic
124#89714C2211yescharacteristic
125C22⋊C4×Dic7C2211yescharacteristic
126C22⋊C4×Dic7C2211yescharacteristic
127C22⋊C4×Dic7C2211yescharacteristic
128C22⋊C4×Dic7C2211yescharacteristic
129C4×(C2×D7)⋊C4C2211yescharacteristic
130C4×(C2×D7)⋊C4C2211yescharacteristic
131C4×(C2×D7)⋊C4C2211yescharacteristic
132C4×(C2×D7)⋊C4C2211yescharacteristic
133C4×C4⋊Dic7C2211yescharacteristic
134C4×C4⋊Dic7C2211yescharacteristic
135#89704C2211yescharacteristic
136#89704C2211yescharacteristic
137#89704C2211yescharacteristic
138C4×Dic7⋊C4C2211yescharacteristic
139C4×Dic7⋊C4C2211yescharacteristic
140C4×Dic7⋊C4C2211yescharacteristic
141C4×Dic7⋊C4C2211yescharacteristic
142C4×Dic7⋊C4C2211yescharacteristic
143C4×Dic7⋊C4C2211yescharacteristic
144C42×Dic7C2211yescharacteristic
145C42×Dic7C2211yescharacteristic
146C42×Dic7C2211yescharacteristic
147#89447C2211yescharacteristic
148#89445C2211yescharacteristic
149#89442C2211yescharacteristic
150#89441C2211yescharacteristic
151#89440C2211yescharacteristic
152#89440C2211yescharacteristic
153#89440C2211yescharacteristic
154#89440C2211yescharacteristic
155#89438C2211yescharacteristic
156#89438C2211yescharacteristic
157#89432C2211yescharacteristic
158#89431C2211yescharacteristic
159#89430C2211yescharacteristic
160#89430C2211yescharacteristic
161#89430C2211yescharacteristic
162#89429C2211yescharacteristic
163#89427C2211yescharacteristic
164#89427C2211yescharacteristic
165#89427C2211yescharacteristic
166#89427C2211yescharacteristic
167#89427C2211yescharacteristic
168#89427C2211yescharacteristic
169#89426C2211yescharacteristic
170#89426C2211yescharacteristic
171#89426C2211yescharacteristic
172#89426C2211yescharacteristic
173#89425C2211yescharacteristic
174#89425C2211yescharacteristic
175#89425C2211yescharacteristic
176#89425C2211yescharacteristic
177#89425C2211yescharacteristic
178#89424C2211yescharacteristic
179#89423C2211yescharacteristic
180#89423C2211yescharacteristic
181#89420C2211yescharacteristic
182#89420C2211yescharacteristic
183#89419C2211yescharacteristic
184#89418C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#34884—71nomaximal, Sylow
188C22×C7×D4C2311yescharacteristic
189C23×C4×C7C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C23×Dic7C2311yescharacteristic
194C23×Dic7C2311yescharacteristic
195C22×C4×D7C2311yescharacteristic
196C22×C4×D7C2311yescharacteristic
197C22×C4×D7C2311yescharacteristic
198C22×Dic14C2311yescharacteristic
199C4×C7×D4—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×C4⋊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×C7×C22⋊C4C2311yescharacteristic
218C2×C42×C7C2311yescharacteristic
219C2×C42×C7C2311yescharacteristic
220C2×C42×C7C2311yescharacteristic
221C2×C42×C7C2311yescharacteristic
222C2×C42×C7C2311yescharacteristic
223C2×C22⋊Dic7C2311yescharacteristic
224C2×C22⋊Dic7C2311yescharacteristic
225C2×C22⋊Dic7C2311yescharacteristic
226C2×C22⋊Dic7C2311yescharacteristic
227C2×C22⋊Dic7C2311yescharacteristic
228C2×C22⋊Dic7C2311yescharacteristic
229C2×C22⋊Dic7C2311yescharacteristic
230C2×C22⋊Dic7C2311yescharacteristic
231C2×C22⋊Dic7C2311yescharacteristic
232C2×C22⋊Dic7C2311yescharacteristic
233C2×C22⋊Dic7C2311yescharacteristic
234C2×C22⋊Dic7C2311yescharacteristic
235#6502—24no—
236C4×C22⋊D7—24no—
237C4×C22⋊D7—24no—
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
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248#6489—24no—
249#6489—24no—
250C2×C4⋊Dic7C2311yescharacteristic
251C2×C4⋊Dic7C2311yescharacteristic
252C2×C4⋊Dic7C2311yescharacteristic
253C2×C4⋊Dic7C2311yescharacteristic
254C2×C4⋊Dic7C2311yescharacteristic
255C2×C4⋊Dic7C2311yescharacteristic
256C2×C4⋊Dic7C2311yescharacteristic
257C2×C4⋊Dic7C2311yescharacteristic
258C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×Dic7⋊C4C2311yescharacteristic
275C2×C4×Dic7—24no—
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#6455—24no—
302#6442—24no—
303#6441—24no—
304C42×D7—24no—
305C4×Dic14—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#2477—71no—
373#2476—71no—
374#2402—71no—
375#2398—71no—
376#2395—71no—
377#2395D711yescharacteristic, complemented
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×D4—22no—
393C2×C7×D4—22no—
394C2×C7×D4—41no—
395C22×C4×C7—22no—
396C22×C4×C7—22no—
397C22×C4×C7—22no—
398C22×C4×C7—22no—
399C22×C4×C7—22no—
400C22×C4×C7#4114yes—
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
411C22×C4×C7C2411yescharacteristic
412C22×C4×C7C2411yescharacteristic
413C22×C4×C7C2411yescharacteristic
414C2×C22⋊D7—22no—
415C2×C22⋊D7—22no—
416C2×C22⋊D7—22no—
417C2×C22⋊D7—22no—
418C2×C22⋊D7—41no—
419C2×C22⋊D7—41no—
420C22×Dic7—22no—
421C22×Dic7—22no—
422C22×Dic7—22no—
423C22×Dic7—22no—
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—22no—
443C2×C4×D7—22no—
444C2×C4×D7—22no—
445C2×C4×D7—22no—
446C2×C4×D7—22no—
447C2×C4×D7—22no—
448C2×C4×D7—41no—
449C2×C4×D7—41no—
450C2×Dic14—22no—
451C2×Dic14—22no—
452C2×Dic14—41no—
453C7×C4⋊C4—22no—
454C7×C4⋊C4—22no—
455C7×C4⋊C4—22no—
456C7×C4⋊C4—22no—
457C7×C4⋊C4—22no—
458C7×C4⋊C4—22no—
459C7×C4⋊C4—41no—
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—41no—
467C7×C22⋊C4—41no—
468C7×C22⋊C4—41no—
469C7×C22⋊C4—41no—
470C42×C7—22no—
471C42×C7—22no—
472C42×C7—22no—
473C42×C7—22no—
474C42×C7—22no—
475C22⋊Dic7—22no—
476C22⋊Dic7—22no—
477C22⋊Dic7—22no—
478C22⋊Dic7—22no—
479C22⋊Dic7—22no—
480C22⋊Dic7—22no—
481C22⋊Dic7—22no—
482C22⋊Dic7—22no—
483C22⋊Dic7—22no—
484C22⋊Dic7—22no—
485C22⋊Dic7—41no—
486C22⋊Dic7—41no—
487(C2×D7)⋊C4—22no—
488(C2×D7)⋊C4—22no—
489(C2×D7)⋊C4—22no—
490(C2×D7)⋊C4—22no—
491(C2×D7)⋊C4—22no—
492(C2×D7)⋊C4—22no—
493(C2×D7)⋊C4—22no—
494(C2×D7)⋊C4—41no—
495(C2×D7)⋊C4—41no—
496(C2×D7)⋊C4#4114yes—
497C4⋊Dic7—22no—
498C4⋊Dic7—22no—
499C4⋊Dic7—22no—
500C4⋊Dic7—22no—
501C4⋊Dic7—22no—
502C4⋊Dic7—22no—
503C4⋊Dic7—22no—
504C4⋊Dic7—41no—
505C4⋊Dic7#4114yes—
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—22no—
515Dic7⋊C4—22no—
516Dic7⋊C4—41no—
517Dic7⋊C4—41no—
518Dic7⋊C4—41no—
519Dic7⋊C4—41no—
520Dic7⋊C4—41no—
521Dic7⋊C4—41no—
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—41no—
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⋊Q8—71no—
548C2×#121—71no—
549C2×C4×Q8—71no—
550C2×C4×D4—71no—
551C2×C4×D4—71no—
552C2×C4×D4C2×D711yescharacteristic
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#399C2×D711yescharacteristic
570#398—71no—
571#398—71no—
572#398—71no—
573#398—71no—
574#398—71no—
575#398C2×D711yescharacteristic
576#397—71no—
577#397—71no—
578#397—71no—
579#397—71no—
580#397—71no—
581#397C2×D711yescharacteristic
582#397C2×D711yescharacteristic
583#397C2×D711yescharacteristic
584#394—71no—
585#394—71no—
586#394—71no—
587#394—71no—
588#394C2×D711yescharacteristic
589#394C2×D711yescharacteristic
590#393—71no—
591#393—71no—
592#391—71no—
593#391—71no—
594#391—71no—
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#388—71no—
623#388—71no—
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#387—71no—
643#387—71no—
644#386—71no—
645#386—71no—
646#386—71no—
647#386—71no—
648#386—71no—
649#386—71no—
650#385—71no—
651#385—71no—
652#385—71no—
653#385—71no—
654#385—71no—
655#385—71no—
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⋊C4C2×D711yescharacteristic
675C4×C4⋊C4C2×D711yescharacteristic
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⋊C4C2×D711yescharacteristic
690C4×C22⋊C4C2×D711yescharacteristic
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×C7—21no—
713C23×C7C2×#4112yes—
714C23×C7C2511yescharacteristic
715C22×D7—21no—
716C22×D7—21no—
717C22×D7—21no—
718C22×D7—21no—
719C22×D7—21no—
720C22×D7—21no—
721C22×D7C2×#4112yes—
722C7×D4—44no—
723C2×C4×C7—21no—
724C2×C4×C7—21no—
725C2×C4×C7—21no—
726C2×C4×C7—21no—
727C2×C4×C7—21no—
728C2×C4×C7—21no—
729C2×C4×C7—28no—
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—44no—
758C2×C4×C7C2×#4112yes—
759C2×C4×C7C2×#4112yes—
760C2×C4×C7C2×#4112yes—
761C2×C4×C7C2×#4112yes—
762C2×C4×C7C2×#4112yes—
763C2×C4×C7C2×#4112yes—
764C22⋊D7—44no—
765C22⋊D7—44no—
766C2×Dic7—21no—
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—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—44no—
805C2×Dic7—44no—
806C2×Dic7C2×#4112yes—
807C2×Dic7C2×#4112yes—
808C2×Dic7C2×#4112yes—
809C2×Dic7C2×#4112yes—
810C2×Dic7C2×#4112yes—
811C2×Dic7C2×#4112yes—
812C2×Dic7C2×#4112yes—
813C4×D7—28no—
814C4×D7—44no—
815C4×D7—44no—
816Dic14—44no—
817C22×Q8—71no—
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—144no—
831#121—144no—
832C4×Q8—144no—
833C4×D4—24no—
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⋊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×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—144no—
929C2×C42—144no—
930C2×C42C22×D711yescharacteristic
931C2×C42C22×D711yescharacteristic
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#95—71no—
976#95—71no—
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—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×C7C22×#4111yescharacteristic
1002C22×C7C22×#4111yescharacteristic
1003C22×C7C22×#4111yescharacteristic
1004C22×C7C22×#4111yescharacteristic
1005C22×C7C22×#4111yescharacteristic
1006C22×C7#58511yescharacteristic
1007C22×C7#58511yescharacteristic
1008C2×D7—22no—
1009C2×D7—22no—
1010C2×D7—22no—
1011C2×D7—41no—
1012C2×D7—41no—
1013C2×D7—41no—
1014C2×D7—41no—
1015C4×C7—22no—
1016C4×C7—22no—
1017C4×C7—22no—
1018C4×C7—41no—
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#52914yes—
1028Dic7—22no—
1029Dic7—22no—
1030Dic7—22no—
1031Dic7—22no—
1032Dic7—22no—
1033Dic7—22no—
1034Dic7—22no—
1035Dic7—41no—
1036Dic7—41no—
1037Dic7—41no—
1038Dic7—41no—
1039Dic7—41no—
1040Dic7—41no—
1041Dic7—41no—
1042Dic7—41no—
1043C24—71no—
1044C24C23×D711yescharacteristic
1045C24C23×D711yescharacteristic
1046C2×Q8—142no—
1047C2×Q8—142no—
1048C2×Q8—281no—
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—71no—
1064C22×C4—71no—
1065C22×C4—71no—
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—142no—
1079C22×C4—142no—
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—281no—
1090C22×C4—281no—
1091C22×C4—281no—
1092C22×C4—281no—
1093C22×C4#115914yes—
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—22no—
1112C4⋊C4—22no—
1113C4⋊C4—41no—
1114C4⋊C4—74no—
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—142no—
1132C4⋊C4—281no—
1133C4⋊C4—281no—
1134C4⋊C4—281no—
1135C4⋊C4—281no—
1136C4⋊C4—281no—
1137C4⋊C4—281no—
1138C4⋊C4—281no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—22no—
1143C22⋊C4—22no—
1144C22⋊C4—22no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
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—142no—
1165C22⋊C4—142no—
1166C22⋊C4—142no—
1167C22⋊C4—281no—
1168C22⋊C4—281no—
1169C22⋊C4—281no—
1170C22⋊C4—281no—
1171C42—22no—
1172C42—22no—
1173C42—22no—
1174C42—22no—
1175C42—22no—
1176C42—74no—
1177C42—74no—
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—281no—
1194C42—281no—
1195C42—281no—
1196C42—281no—
1197C42—281no—
1198C42—281no—
1199C2×C7—42no—
1200C2×C7—81no—
1201C2×C7C2×#52911yescharacteristic
1202C2×C7#344411yescharacteristic
1203C2×C7#345511yescharacteristic
1204C2×C7#347511yescharacteristic
1205C2×C7#347511yescharacteristic
1206C2×C7#347511yescharacteristic
1207C2×C7#348011yescharacteristic
1208D7—42no—
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—21no—
1222C23—72no—
1223C23—141no—
1224C23—141no—
1225C23—141no—
1226C23—141no—
1227C23—141no—
1228C23—141no—
1229C23C2×#115912yes—
1230C23C24×D711yescharacteristic
1231Q8—284no—
1232D4—44no—
1233D4—284no—
1234D4—284no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—28no—
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—44no—
1270C2×C4—72no—
1271C2×C4—72no—
1272C2×C4—72no—
1273C2×C4—72no—
1274C2×C4—72no—
1275C2×C4—72no—
1276C2×C4—72no—
1277C2×C4—148no—
1278C2×C4—141no—
1279C2×C4—141no—
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—284no—
1317C2×C4—284no—
1318C2×C4—284no—
1319C2×C4—284no—
1320C2×C4C2×#115912yes—
1321C2×C4C2×#115912yes—
1322C2×C4D7×#4112yes—
1323C2×C4D7×#4112yes—
1324C2×C4D7×#4112yes—
1325C2×C4D7×#4112yes—
1326C7#3488411yescharacteristic, complemented, Sylow
1327C22—22no—
1328C22—22no—
1329C22—22no—
1330C22—41no—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—142no—
1342C22—142no—
1343C22—142no—
1344C22—281no—
1345C22—281no—
1346C22—281no—
1347C22—281no—
1348C22C22×#115911yescharacteristic
1349C22C2×D7×#4111yescharacteristic
1350C22C2×D7×#4111yescharacteristic
1351C22C2×D7×#4111yescharacteristic
1352C22C2×D7×#4111yescharacteristic
1353C22#9061611yescharacteristic
1354C22#9061611yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—142no—
1368C4—142no—
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#9034014yes—
1383C2—42no—
1384C2—81no—
1385C2—282no—
1386C2C2×#9034011yescharacteristic
1387C2#1174308911yescharacteristic
1388C2#1174318711yescharacteristic
1389C2#1174321411yescharacteristic
1390C2#1174321911yescharacteristic
1391C2#1174321911yescharacteristic
1392C2#1174328811yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC7×#2395C2
prime radicalC2×#6502C22
hypercenter#2395D7
hypocenterC7#34884
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ #2395

Complements

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

NH ≅ G/Ntype
1. C7×#2395C2semidirect
3. #11739764C2semidirect
4. #11739719C2semidirect
5. Dic7×#117C2semidirect
6. #11735641C2semidirect
7. #11735621C2semidirect
8. #11735488C2semidirect
9. #11735472C2semidirect
10. #11735250C2semidirect
11. #11735207C2semidirect
12. #11734976C2semidirect
13. #11734969C2semidirect
14. #11734968C2semidirect
15. #11734957C2semidirect
16. #11734954C2semidirect
17. #11734922C2semidirect
18. #11734399C2semidirect
20. #11734387C2semidirect
22. #11731115C2semidirect
23. C4×#6461C2semidirect
24. #11731064C2semidirect
25. C4×#6455C2semidirect
26. #11731007C2semidirect
27. #11731007C2semidirect
28. #11730926C2semidirect
29. C4×#6442C2semidirect
30. C4×#6441C2semidirect
31. #11730885C2semidirect
377. #2395D7semidirect
1326. C7#34884semidirect

Maximal subgroups

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

subgroupindex
C7×#23952
C4×#65022
#117397642
#117397192
Dic7×#1172
#117356412
#117356212
#117354882
#117354722
#117352502
#117352072
#117349762
#117349692
#117349682
#117349572
#117349542
#117349222
#117343992
#117343972
#117343872
#117343742
#117311152
C4×#64612
#117310642
C4×#64552
#117310072
#117309262
C4×#64422
C4×#64412
#117308852
#348847