Finite Group Databasebeta

← #13524932

Subgroups — #13524932

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×#2589C211yesmaximal, characteristic, complemented
2#11735621C211yesmaximal, characteristic, complemented
3#11735574C211yesmaximal, characteristic, complemented
4#11735473C211yesmaximal, characteristic, complemented
5#11735462C211yesmaximal, characteristic, complemented
6#11735227C211yesmaximal, characteristic, complemented
7#11735186C211yesmaximal, characteristic, complemented
8#11734236C211yesmaximal, characteristic, complemented
9#11734224C211yesmaximal, characteristic, complemented
10#11733985C211yesmaximal, characteristic, complemented
11#11733976C211yesmaximal, characteristic, complemented
12#11733924C211yesmaximal, characteristic, complemented
13#11733922C211yesmaximal, characteristic, complemented
14#11733536C211yesmaximal, characteristic, complemented
15#11733406C211yesmaximal, characteristic, complemented
16#11733308C211yesmaximal, characteristic
17#11732980C211yesmaximal, characteristic, complemented
18#11732900C211yesmaximal, characteristic, complemented
19#11732897C211yesmaximal, characteristic
20#11732812C211yesmaximal, characteristic, complemented
21#11732800C211yesmaximal, characteristic, complemented
22#11732387C211yesmaximal, characteristic, complemented
23#11732384C211yesmaximal, characteristic, complemented
24#11731940C211yesmaximal, characteristic, complemented
25#11731929C211yesmaximal, characteristic, complemented
26#11731822C211yesmaximal, characteristic, complemented
27#11731822C211yesmaximal, characteristic, complemented
28#11731185C211yesmaximal, characteristic, complemented
29C4×#6455C211yesmaximal, characteristic, complemented
30#11731049C211yesmaximal, characteristic
31C4×#6440C211yesmaximal, characteristic, complemented
32C2×#6509C2211yescharacteristic
33C2×Q8×Dic7C2211yescharacteristic
34C22×C4×Dic7C2211yescharacteristic
35C2×#6461C2211yescharacteristic
36C2×#6456C2211yescharacteristic
37C2×#6455C2211yescharacteristic
38C2×#6455C2211yescharacteristic
39C2×#6455C2211yescharacteristic
40C2×#6447C2211yescharacteristic
41C2×(C22⋊D7)⋊C4C2211yescharacteristic
42C2×(C22⋊D7)⋊C4C2211yescharacteristic
43C2×#6442C2211yescharacteristic
44C2×#6440C2211yescharacteristic
45C2×#6440C2211yescharacteristic
46C2×C42×D7C2211yescharacteristic
47C7×#400C2211yescharacteristic
48C7×#399C2211yescharacteristic
49C7×#398C2211yescharacteristic
50C7×#393C2211yescharacteristic
51C7×#391C2211yescharacteristic
52C7×#391C2211yescharacteristic
53C7×#389C2211yescharacteristic
54C7×#388C2211yescharacteristic
55C7×#388C2211yescharacteristic
56C7×#387C2211yescharacteristic
57C7×#387C2211yescharacteristic
58C7×#385C2211yescharacteristic
59C7×#385C2211yescharacteristic
60C4×C7×C4⋊C4C2211yescharacteristic
61C4×C7×C22⋊C4C2211yescharacteristic
62#90003C2211yescharacteristic
63#90002C2211yescharacteristic
64#89985C2211yescharacteristic
65#89985C2211yescharacteristic
66C4×C22⋊Dic7C2211yescharacteristic
67#89765C2211yescharacteristic
68#89765C2211yescharacteristic
69#89764C2211yescharacteristic
70#89762C2211yescharacteristic
71#89762C2211yescharacteristic
72#89762C2211yescharacteristic
73#89762C2211yescharacteristic
74#89762C2211yescharacteristic
75#89762C2211yescharacteristic
76#89760C2211yescharacteristic
77#89759C2211yescharacteristic
78#89758C2211yescharacteristic
79#89757C2211yescharacteristic
80#89756C2211yescharacteristic
81#89755C2211yescharacteristic
82#89755C2211yescharacteristic
83#89754C2211yescharacteristic
84#89754C2211yescharacteristic
85#89753C2211yescharacteristic
86#89750C2211yescharacteristic
87#89750C2211yescharacteristic
88#89750C2211yescharacteristic
89C4⋊C4×Dic7C2211yescharacteristic
90C4⋊C4×Dic7C2211yescharacteristic
91C4⋊C4×Dic7C2211yescharacteristic
92C4⋊C4×Dic7C2211yescharacteristic
93C4⋊C4×Dic7C2211yescharacteristic
94C4⋊C4×Dic7C2211yescharacteristic
95C4⋊C4×Dic7C2211yescharacteristic
96#89745C2211yescharacteristic
97#89744C2211yescharacteristic
98#89733C2211yescharacteristic
99#89733C2211yescharacteristic
100#89733C2211yescharacteristic
101#89733C2211yescharacteristic
102#89730C2211yescharacteristic
103#89730C2211yescharacteristic
104#89729C2211yescharacteristic
105#89728C2211yescharacteristic
106#89725C2211yescharacteristic
107#89725C2211yescharacteristic
108#89722C2211yescharacteristic
109#89722C2211yescharacteristic
110#89717C2211yescharacteristic
111#89716C2211yescharacteristic
112C22⋊C4×Dic7C2211yescharacteristic
113C22⋊C4×Dic7C2211yescharacteristic
114C22⋊C4×Dic7C2211yescharacteristic
115C22⋊C4×Dic7C2211yescharacteristic
116#89712C2211yescharacteristic
117#89712C2211yescharacteristic
118#89712C2211yescharacteristic
119#89711C2211yescharacteristic
120C4×(C2×D7)⋊C4C2211yescharacteristic
121C4×(C2×D7)⋊C4C2211yescharacteristic
122C4×C4⋊Dic7C2211yescharacteristic
123#89705C2211yescharacteristic
124C4×Dic7⋊C4C2211yescharacteristic
125C4×Dic7⋊C4C2211yescharacteristic
126C42×Dic7C2211yescharacteristic
127C42×Dic7C2211yescharacteristic
128C42×Dic7C2211yescharacteristic
129#89700C2211yescharacteristic
130#89700C2211yescharacteristic
131#89447C2211yescharacteristic
132#89447C2211yescharacteristic
133#89446C2211yescharacteristic
134#89446C2211yescharacteristic
135#89444C2211yescharacteristic
136#89444C2211yescharacteristic
137#89442C2211yescharacteristic
138#89442C2211yescharacteristic
139#89442C2211yescharacteristic
140#89442C2211yescharacteristic
141#89442C2211yescharacteristic
142#89442C2211yescharacteristic
143#89441C2211yescharacteristic
144#89440C2211yescharacteristic
145#89440C2211yescharacteristic
146#89439C2211yescharacteristic
147#89438C2211yescharacteristic
148#89438C2211yescharacteristic
149#89438C2211yescharacteristic
150#89438C2211yescharacteristic
151#89438C2211yescharacteristic
152#89438C2211yescharacteristic
153#89438C2211yescharacteristic
154#89438C2211yescharacteristic
155#89437C2211yescharacteristic
156#89433C2211yescharacteristic
157#89433C2211yescharacteristic
158#89432C2211yescharacteristic
159#89432C2211yescharacteristic
160#89432C2211yescharacteristic
161#89431C2211yescharacteristic
162#89427C2211yescharacteristic
163#89427C2211yescharacteristic
164#89427C2211yescharacteristic
165#89427C2211yescharacteristic
166#89427C2211yescharacteristic
167#89426C2211yescharacteristic
168#89426C2211yescharacteristic
169#89426C2211yescharacteristic
170#89426C2211yescharacteristic
171#89425C2211yescharacteristic
172#89425C2211yescharacteristic
173#89425C2211yescharacteristic
174#89425C2211yescharacteristic
175#89423C2211yescharacteristic
176#89423C2211yescharacteristic
177#89421C2211yescharacteristic
178#89421C2211yescharacteristic
179#89421C2211yescharacteristic
180#89421C2211yescharacteristic
181#89421C2211yescharacteristic
182#89420C2211yescharacteristic
183#89420C2211yescharacteristic
184#89420C2211yescharacteristic
185#89420C2211yescharacteristic
186#89420C2211yescharacteristic
187#34884—71nomaximal, Sylow
188C22×C7×Q8C2311yescharacteristic
189C23×C4×C7C2311yescharacteristic
190C22×C22⋊D7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C23×Dic7C2311yescharacteristic
193C23×Dic7C2311yescharacteristic
194C22×D28C2311yescharacteristic
195C22×C4×D7C2311yescharacteristic
196C22×C4×D7C2311yescharacteristic
197C22×C4×D7C2311yescharacteristic
198C22×C4×D7C2311yescharacteristic
199C2×C7×C4⋊C4C2311yescharacteristic
200C2×C7×C4⋊C4C2311yescharacteristic
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×C42×C7C2311yescharacteristic
215C2×C42×C7C2311yescharacteristic
216C2×C42×C7C2311yescharacteristic
217C2×C42×C7C2311yescharacteristic
218C2×C22⋊Dic7C2311yescharacteristic
219C2×C22⋊Dic7C2311yescharacteristic
220C2×C22⋊Dic7C2311yescharacteristic
221C2×C22⋊Dic7C2311yescharacteristic
222#6509—24no—
223Q8×Dic7—24no—
224C2×(C2×D7)⋊C4C2311yescharacteristic
225C2×(C2×D7)⋊C4C2311yescharacteristic
226C2×(C2×D7)⋊C4C2311yescharacteristic
227C2×(C2×D7)⋊C4C2311yescharacteristic
228C2×(C2×D7)⋊C4C2311yescharacteristic
229C2×(C2×D7)⋊C4C2311yescharacteristic
230C2×(C2×D7)⋊C4C2311yescharacteristic
231C2×(C2×D7)⋊C4C2311yescharacteristic
232C2×(C2×D7)⋊C4C2311yescharacteristic
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
245C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
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×C4×Dic7—24no—
270C2×C4×Dic7C2311yescharacteristic
271C2×C4×Dic7C2311yescharacteristic
272C2×C4×Dic7C2311yescharacteristic
273C2×C4×Dic7C2311yescharacteristic
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
294#6461—24no—
295#6456—24no—
296#6455—24no—
297#6455—24no—
298#6455—24no—
299#6447—24no—
300(C22⋊D7)⋊C4—24no—
301(C22⋊D7)⋊C4—24no—
302#6442—24no—
303#6440—24no—
304#6440—24no—
305C42×D7—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#2589D711yescharacteristic, complemented
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#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
390C23×D7C2411yescharacteristic
391C23×D7C2411yescharacteristic
392C2×C7×Q8—22no—
393C2×C7×Q8—22no—
394C2×C7×Q8—41no—
395C22×C4×C7—22no—
396C22×C4×C7—41no—
397C22×C4×C7—41no—
398C22×C4×C7C2411yescharacteristic
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
411C22×C4×C7C2411yescharacteristic
412C2×C22⋊D7—22no—
413C2×C22⋊D7—22no—
414C2×C22⋊D7—22no—
415C2×C22⋊D7—22no—
416C2×C22⋊D7—41no—
417C2×C22⋊D7—41no—
418C22×Dic7—22no—
419C22×Dic7—22no—
420C22×Dic7—22no—
421C22×Dic7—22no—
422C22×Dic7—22no—
423C22×Dic7—22no—
424C22×Dic7C2411yescharacteristic
425C22×Dic7C2411yescharacteristic
426C22×Dic7C2411yescharacteristic
427C22×Dic7C2411yescharacteristic
428C22×Dic7C2411yescharacteristic
429C22×Dic7C2411yescharacteristic
430C22×Dic7C2411yescharacteristic
431C22×Dic7C2411yescharacteristic
432C22×Dic7C2411yescharacteristic
433C22×Dic7C2411yescharacteristic
434C22×Dic7C2411yescharacteristic
435C22×Dic7C2411yescharacteristic
436C22×Dic7C2411yescharacteristic
437C22×Dic7C2411yescharacteristic
438C2×D28—22no—
439C2×D28—22no—
440C2×D28—41no—
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—22no—
449C2×C4×D7—22no—
450C2×C4×D7—41no—
451C2×C4×D7—41no—
452C2×C4×D7#4114yes—
453C7×C4⋊C4—22no—
454C7×C4⋊C4—22no—
455C7×C4⋊C4—22no—
456C7×C4⋊C4—22no—
457C7×C4⋊C4—22no—
458C7×C4⋊C4—41no—
459C7×C4⋊C4—41no—
460C7×C4⋊C4—41no—
461C7×C4⋊C4—41no—
462C7×C22⋊C4—22no—
463C7×C22⋊C4—22no—
464C7×C22⋊C4—22no—
465C7×C22⋊C4—41no—
466C7×C22⋊C4—41no—
467C7×C22⋊C4#4114yes—
468C42×C7—22no—
469C42×C7—41no—
470C42×C7—41no—
471C42×C7—41no—
472C22⋊Dic7—22no—
473C22⋊Dic7—22no—
474C22⋊Dic7—22no—
475C22⋊Dic7—22no—
476(C2×D7)⋊C4—22no—
477(C2×D7)⋊C4—22no—
478(C2×D7)⋊C4—22no—
479(C2×D7)⋊C4—22no—
480(C2×D7)⋊C4—22no—
481(C2×D7)⋊C4—22no—
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—22no—
491(C2×D7)⋊C4—22no—
492(C2×D7)⋊C4—41no—
493(C2×D7)⋊C4—41no—
494(C2×D7)⋊C4—41no—
495(C2×D7)⋊C4—41no—
496(C2×D7)⋊C4—41no—
497(C2×D7)⋊C4—41no—
498C4⋊Dic7—22no—
499C4⋊Dic7—22no—
500C4⋊Dic7—22no—
501C4⋊Dic7—22no—
502C4⋊Dic7—22no—
503C4⋊Dic7—22no—
504C4⋊Dic7—22no—
505C4⋊Dic7—22no—
506C4⋊Dic7—22no—
507C4⋊Dic7—41no—
508C4⋊Dic7—41no—
509Dic7⋊C4—22no—
510Dic7⋊C4—22no—
511Dic7⋊C4—22no—
512Dic7⋊C4—22no—
513Dic7⋊C4—22no—
514Dic7⋊C4—22no—
515Dic7⋊C4—22no—
516Dic7⋊C4—22no—
517Dic7⋊C4—22no—
518Dic7⋊C4—41no—
519Dic7⋊C4—41no—
520Dic7⋊C4#4114yes—
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—22no—
539C4×Dic7—22no—
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×D4—71no—
553C2×#117—71no—
554C2×#117—71no—
555C2×#117—71no—
556C2×#117—71no—
557C2×#117—71no—
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#397—71no—
582#397—71no—
583#397—71no—
584#394—71no—
585#394—71no—
586#394—71no—
587#394—71no—
588#394—71no—
589#394—71no—
590#393—71no—
591#393C2×D711yescharacteristic
592#391—71no—
593#391C2×D711yescharacteristic
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#389C2×D711yescharacteristic
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#386—71no—
649#386—71no—
650#385—71no—
651#385—71no—
652#385—71no—
653#385—71no—
654#385C2×D711yescharacteristic
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⋊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⋊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×C7C2×#4112yes—
707C23×C7C2511yescharacteristic
708C22×D7—21no—
709C22×D7—21no—
710C22×D7—21no—
711C22×D7—21no—
712C22×D7—21no—
713C22×D7—21no—
714C22×D7—21no—
715C22×D7—21no—
716C22×D7—21no—
717C22×D7—21no—
718C22×D7—21no—
719C22×D7—21no—
720C22×D7—21no—
721C22×D7C2×#4112yes—
722C7×Q8—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—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—
765C2×C4×C7C2×#4112yes—
766C22⋊D7—44no—
767C22⋊D7—44no—
768C2×Dic7—28no—
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×Dic7C2×#4112yes—
806C2×Dic7C2×#4112yes—
807C2×Dic7C2×#4112yes—
808C2×Dic7C2×#4112yes—
809C2×Dic7C2×#4112yes—
810C2×Dic7C2×#4112yes—
811C2×Dic7C2×#4112yes—
812D28—44no—
813C4×D7—28no—
814C4×D7—44no—
815C4×D7—44no—
816C4×D7—44no—
817C22×Q8C22×D711yescharacteristic
818C22×D4—71no—
819C22×D4—71no—
820C22×D4—71no—
821C23×C4—71no—
822C23×C4—71no—
823C23×C4—71no—
824C23×C4—71no—
825C23×C4—71no—
826C23×C4—71no—
827C23×C4C22×D711yescharacteristic
828#126—144no—
829#126—144no—
830C22⋊Q8—144no—
831#121—144no—
832C4×Q8—144no—
833C4×D4—144no—
834C4×D4—144no—
835C4×D4—144no—
836#117—144no—
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⋊C4C22×D711yescharacteristic
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×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⋊C4—71no—
896C2×C22⋊C4—71no—
897C2×C22⋊C4—71no—
898C2×C22⋊C4—71no—
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—144no—
930C2×C42—144no—
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#95C22×D711yescharacteristic
974#95C22×D711yescharacteristic
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—41no—
991C22×C7—41no—
992C22×C7—41no—
993C22×C7—41no—
994C22×C7C22×#4111yescharacteristic
995C22×C7C22×#4111yescharacteristic
996C22×C7C22×#4111yescharacteristic
997C22×C7C22×#4111yescharacteristic
998C22×C7C22×#4111yescharacteristic
999C22×C7#58511yescharacteristic
1000C22×C7#58511yescharacteristic
1001C2×D7—22no—
1002C2×D7—22no—
1003C2×D7—22no—
1004C2×D7—41no—
1005C2×D7—41no—
1006C2×D7—41no—
1007C2×D7—41no—
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—22no—
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—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—
1044C24—71no—
1045C24C23×D711yescharacteristic
1046C2×Q8—22no—
1047C2×Q8—22no—
1048C2×Q8—41no—
1049C2×D4—142no—
1050C2×D4—142no—
1051C2×D4—142no—
1052C2×D4—142no—
1053C2×D4—142no—
1054C2×D4—142no—
1055C2×D4—281no—
1056C2×D4—281no—
1057C2×D4—281no—
1058C22×C4—22no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—71no—
1062C22×C4—71no—
1063C22×C4—71no—
1064C22×C4—71no—
1065C22×C4—71no—
1066C22×C4—74no—
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—142no—
1077C22×C4—142no—
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—142no—
1090C22×C4—142no—
1091C22×C4—281no—
1092C22×C4—281no—
1093C22×C4C23×D711yescharacteristic
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—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—74no—
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—142no—
1133C4⋊C4—142no—
1134C4⋊C4—142no—
1135C4⋊C4—281no—
1136C4⋊C4—281no—
1137C4⋊C4—281no—
1138C4⋊C4—281no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—22no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—142no—
1145C22⋊C4—142no—
1146C22⋊C4—142no—
1147C22⋊C4—142no—
1148C22⋊C4—142no—
1149C22⋊C4—142no—
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#116114yes—
1171C42—22no—
1172C42—41no—
1173C42—41no—
1174C42—41no—
1175C42—74no—
1176C42—74no—
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—142no—
1195C42—142no—
1196C42—281no—
1197C42—281no—
1198C42—281no—
1199C2×C7—42no—
1200C2×C7C2×#52911yescharacteristic
1201C2×C7#344411yescharacteristic
1202C2×C7#345511yescharacteristic
1203C2×C7#347511yescharacteristic
1204C2×C7#347511yescharacteristic
1205C2×C7#347511yescharacteristic
1206C2×C7#348011yescharacteristic
1207D7—42no—
1208D7—81no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—72no—
1216C23—141no—
1217C23—141no—
1218C23—141no—
1219C23—141no—
1220C23—141no—
1221C23—141no—
1222C23—141no—
1223C23—141no—
1224C23—141no—
1225C23—141no—
1226C23—141no—
1227C23—141no—
1228C23—141no—
1229C23C2×#116112yes—
1230C23C24×D711yescharacteristic
1231Q8—44no—
1232D4—284no—
1233D4—284no—
1234D4—284no—
1235C2×C4—21no—
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—21no—
1271C2×C4—44no—
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—148no—
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×#116112yes—
1321C2×C4C2×#116112yes—
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—142no—
1335C22—142no—
1336C22—142no—
1337C22—281no—
1338C22—281no—
1339C22—281no—
1340C22—281no—
1341C22—281no—
1342C22—281no—
1343C22—281no—
1344C22—281no—
1345C22—281no—
1346C22—281no—
1347C22—281no—
1348C22C22×#116111yescharacteristic
1349C22C2×D7×#4111yescharacteristic
1350C22C2×D7×#4111yescharacteristic
1351C22C2×D7×#4111yescharacteristic
1352C22C2×D7×#4111yescharacteristic
1353C22#9061811yescharacteristic
1354C22#9061811yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—22no—
1359C4—22no—
1360C4—22no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—74no—
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—282no—
1385C2—561no—
1386C2D7×#52911yescharacteristic
1387C2#1174332511yescharacteristic
1388C2#1174345511yescharacteristic
1389C2#1174385811yescharacteristic
1390C2#1174399011yescharacteristic
1391C2#1174399011yescharacteristic
1392C2#1174411711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2589C2
prime radicalC2×#6447C22
hypercenter#2589D7
hypocenterC7#34884
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2589

Complements

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

NH ≅ G/Ntype
1. C7×#2589C2semidirect
2. #11735621C2semidirect
3. #11735574C2semidirect
4. #11735473C2semidirect
5. #11735462C2semidirect
6. #11735227C2semidirect
7. #11735186C2semidirect
8. #11734236C2semidirect
9. #11734224C2semidirect
10. #11733985C2semidirect
11. #11733976C2semidirect
12. #11733924C2semidirect
13. #11733922C2semidirect
14. #11733536C2semidirect
15. #11733406C2semidirect
17. #11732980C2semidirect
18. #11732900C2semidirect
20. #11732812C2semidirect
21. #11732800C2semidirect
22. #11732387C2semidirect
23. #11732384C2semidirect
24. #11731940C2semidirect
25. #11731929C2semidirect
26. #11731822C2semidirect
27. #11731822C2semidirect
28. #11731185C2semidirect
29. C4×#6455C2semidirect
31. C4×#6440C2semidirect
361. #2589D7semidirect
1326. C7#34884semidirect

Maximal subgroups

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

subgroupindex
C7×#25892
#117356212
#117355742
#117354732
#117354622
#117352272
#117351862
#117342362
#117342242
#117339852
#117339762
#117339242
#117339222
#117335362
#117334062
#117333082
#117329802
#117329002
#117328972
#117328122
#117328002
#117323872
#117323842
#117319402
#117319292
#117318222
#117311852
C4×#64552
#117310492
C4×#64402
#348847