Finite Group Databasebeta

← #13520607

Subgroups — #13520607

Order 1792.

1752 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×#2652C211yesmaximal, characteristic, complemented
2#11735678C211yesmaximal, characteristic, complemented
3#11735670C211yesmaximal, characteristic, complemented
4#11735664C211yesmaximal, characteristic, complemented
5#11735578C211yesmaximal, characteristic, complemented
6#11735577C211yesmaximal, characteristic, complemented
7#11735575C211yesmaximal, characteristic, complemented
8#11735286C211yesmaximal, characteristic, complemented
9#11735183C211yesmaximal, characteristic, complemented
10#11735005C211yesmaximal, characteristic, complemented
11#11735002C211yesmaximal, characteristic, complemented
12#11734988C211yesmaximal, characteristic, complemented
13#11734904C211yesmaximal, characteristic, complemented
14#11734904C211yesmaximal, characteristic, complemented
15#11734902C211yesmaximal, characteristic
16#11734780C211yesmaximal, characteristic
17#11734727C211yesmaximal, characteristic, complemented
18#11733700C211yesmaximal, characteristic, complemented
19#11733411C211yesmaximal, characteristic, complemented
20#11732593C211yesmaximal, characteristic, complemented
21#11732588C211yesmaximal, characteristic, complemented
22#11732584C211yesmaximal, characteristic, complemented
23#11732387C211yesmaximal, characteristic, complemented
24#11732386C211yesmaximal, characteristic, complemented
25#11732385C211yesmaximal, characteristic, complemented
26#11732069C211yesmaximal, characteristic, complemented
27#11732067C211yesmaximal, characteristic
28#11731823C211yesmaximal, characteristic, complemented
29#11731822C211yesmaximal, characteristic, complemented
30#11731055C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C2×C4×C22⋊D7C2211yescharacteristic
33C22×C4×Dic7C2211yescharacteristic
34C2×#6461C2211yescharacteristic
35C2×#6459C2211yescharacteristic
36C2×#6457C2211yescharacteristic
37C2×#6456C2211yescharacteristic
38C2×#6455C2211yescharacteristic
39C2×#6453C2211yescharacteristic
40C2×#6450C2211yescharacteristic
41C2×(C22⋊D7)⋊C4C2211yescharacteristic
42C2×(C22⋊D7)⋊C4C2211yescharacteristic
43C2×(C22⋊D7)⋊C4C2211yescharacteristic
44C2×#6440C2211yescharacteristic
45C2×#6440C2211yescharacteristic
46C2×C42×D7C2211yescharacteristic
47C7×#400C2211yescharacteristic
48C7×#400C2211yescharacteristic
49C7×#400C2211yescharacteristic
50C7×#398C2211yescharacteristic
51C7×#397C2211yescharacteristic
52C7×#397C2211yescharacteristic
53C7×#397C2211yescharacteristic
54C7×#396C2211yescharacteristic
55C7×#389C2211yescharacteristic
56C7×#387C2211yescharacteristic
57C7×#387C2211yescharacteristic
58C7×#387C2211yescharacteristic
59C7×#385C2211yescharacteristic
60C7×#385C2211yescharacteristic
61C4×C7×C22⋊C4C2211yescharacteristic
62#89985C2211yescharacteristic
63#89982C2211yescharacteristic
64#89766C2211yescharacteristic
65#89765C2211yescharacteristic
66#89765C2211yescharacteristic
67#89764C2211yescharacteristic
68#89764C2211yescharacteristic
69#89764C2211yescharacteristic
70#89763C2211yescharacteristic
71#89763C2211yescharacteristic
72#89762C2211yescharacteristic
73#89762C2211yescharacteristic
74#89761C2211yescharacteristic
75#89758C2211yescharacteristic
76#89756C2211yescharacteristic
77#89756C2211yescharacteristic
78#89755C2211yescharacteristic
79#89752C2211yescharacteristic
80#89752C2211yescharacteristic
81#89751C2211yescharacteristic
82#89751C2211yescharacteristic
83#89750C2211yescharacteristic
84#89750C2211yescharacteristic
85#89750C2211yescharacteristic
86#89750C2211yescharacteristic
87#89749C2211yescharacteristic
88C4⋊C4×Dic7C2211yescharacteristic
89C4⋊C4×Dic7C2211yescharacteristic
90C4⋊C4×Dic7C2211yescharacteristic
91C4⋊C4×Dic7C2211yescharacteristic
92C4⋊C4×Dic7C2211yescharacteristic
93C4⋊C4×Dic7C2211yescharacteristic
94C4⋊C4×Dic7C2211yescharacteristic
95#89744C2211yescharacteristic
96#89744C2211yescharacteristic
97#89733C2211yescharacteristic
98#89733C2211yescharacteristic
99#89732C2211yescharacteristic
100#89731C2211yescharacteristic
101#89731C2211yescharacteristic
102#89731C2211yescharacteristic
103#89731C2211yescharacteristic
104#89730C2211yescharacteristic
105#89724C2211yescharacteristic
106#89724C2211yescharacteristic
107#89722C2211yescharacteristic
108#89722C2211yescharacteristic
109#89721C2211yescharacteristic
110#89720C2211yescharacteristic
111#89719C2211yescharacteristic
112#89718C2211yescharacteristic
113C22⋊C4×Dic7C2211yescharacteristic
114C22⋊C4×Dic7C2211yescharacteristic
115C22⋊C4×Dic7C2211yescharacteristic
116#89712C2211yescharacteristic
117#89712C2211yescharacteristic
118C4×(C2×D7)⋊C4C2211yescharacteristic
119#89705C2211yescharacteristic
120C4×Dic7⋊C4C2211yescharacteristic
121C42×Dic7C2211yescharacteristic
122#89700C2211yescharacteristic
123#89449C2211yescharacteristic
124#89448C2211yescharacteristic
125#89448C2211yescharacteristic
126#89448C2211yescharacteristic
127#89448C2211yescharacteristic
128#89447C2211yescharacteristic
129#89447C2211yescharacteristic
130#89447C2211yescharacteristic
131#89446C2211yescharacteristic
132#89446C2211yescharacteristic
133#89446C2211yescharacteristic
134#89445C2211yescharacteristic
135#89444C2211yescharacteristic
136#89442C2211yescharacteristic
137#89442C2211yescharacteristic
138#89442C2211yescharacteristic
139#89440C2211yescharacteristic
140#89440C2211yescharacteristic
141#89439C2211yescharacteristic
142#89438C2211yescharacteristic
143#89438C2211yescharacteristic
144#89438C2211yescharacteristic
145#89438C2211yescharacteristic
146#89438C2211yescharacteristic
147#89438C2211yescharacteristic
148#89438C2211yescharacteristic
149#89438C2211yescharacteristic
150#89438C2211yescharacteristic
151#89437C2211yescharacteristic
152#89436C2211yescharacteristic
153C7⋊#401C2211yescharacteristic
154#89432C2211yescharacteristic
155#89432C2211yescharacteristic
156#89431C2211yescharacteristic
157#89430C2211yescharacteristic
158#89430C2211yescharacteristic
159#89430C2211yescharacteristic
160#89430C2211yescharacteristic
161#89430C2211yescharacteristic
162#89429C2211yescharacteristic
163#89429C2211yescharacteristic
164#89429C2211yescharacteristic
165#89429C2211yescharacteristic
166#89429C2211yescharacteristic
167#89429C2211yescharacteristic
168#89427C2211yescharacteristic
169#89427C2211yescharacteristic
170#89425C2211yescharacteristic
171#89425C2211yescharacteristic
172#89425C2211yescharacteristic
173#89423C2211yescharacteristic
174#89421C2211yescharacteristic
175#89421C2211yescharacteristic
176#89421C2211yescharacteristic
177#89421C2211yescharacteristic
178#89421C2211yescharacteristic
179#89421C2211yescharacteristic
180#89421C2211yescharacteristic
181#89421C2211yescharacteristic
182#89420C2211yescharacteristic
183#89419C2211yescharacteristic
184#89419C2211yescharacteristic
185#89419C2211yescharacteristic
186#89418C2211yescharacteristic
187#34592—71nomaximal, Sylow
188C23×C4×C7C2311yescharacteristic
189C22×C22⋊D7C2311yescharacteristic
190C22×C22⋊D7C2311yescharacteristic
191C23×Dic7C2311yescharacteristic
192C23×Dic7C2311yescharacteristic
193C22×D28C2311yescharacteristic
194C22×C4×D7C2311yescharacteristic
195C22×C4×D7C2311yescharacteristic
196C22×C4×D7C2311yescharacteristic
197C22×C4×D7C2311yescharacteristic
198C22×Dic14C2311yescharacteristic
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×C4⋊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×C42×C7C2311yescharacteristic
216C2×C42×C7C2311yescharacteristic
217C2×C22⋊Dic7C2311yescharacteristic
218C2×C22⋊Dic7C2311yescharacteristic
219C2×C22⋊Dic7C2311yescharacteristic
220C2×C22⋊Dic7C2311yescharacteristic
221C4×C22⋊D7—24no—
222C2×(C2×D7)⋊C4C2311yescharacteristic
223C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
245C2×C4⋊Dic7C2311yescharacteristic
246C2×C4⋊Dic7C2311yescharacteristic
247C2×C4⋊Dic7C2311yescharacteristic
248C2×C4⋊Dic7C2311yescharacteristic
249C2×C4⋊Dic7C2311yescharacteristic
250C2×C4⋊Dic7C2311yescharacteristic
251C2×C4⋊Dic7C2311yescharacteristic
252C2×Dic7⋊C4C2311yescharacteristic
253C2×Dic7⋊C4C2311yescharacteristic
254C2×Dic7⋊C4C2311yescharacteristic
255C2×Dic7⋊C4C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×C4×Dic7—42no—
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
293#6461—24no—
294#6459—24no—
295#6457—24no—
296#6456—42no—
297#6455—42no—
298#6453—24no—
299#6450—42no—
300(C22⋊D7)⋊C4—24no—
301(C22⋊D7)⋊C4—24no—
302(C22⋊D7)⋊C4—24no—
303#6440—24no—
304#6440—42no—
305C42×D7—42no—
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#2667—71no—
359#2666—71no—
360#2664—71no—
361#2663—71no—
362#2655—71no—
363#2654—71no—
364#2653—71no—
365#2652—71no—
366#2652—71no—
367#2652D711yescharacteristic, complemented
368#2649—71no—
369#2649—71no—
370#2638—71no—
371#2636—71no—
372#2633—71no—
373#2630—71no—
374#2402—71no—
375#2401—71no—
376#2396—71no—
377#2396—71no—
378#2395—71no—
379#2395—71no—
380#2395—71no—
381#2392—71no—
382C4×#125—71no—
383C4×#126—71no—
384C4×C22⋊Q8—71no—
385C4×#123—71no—
386#2296—71no—
387#2290—71no—
388C42×D4—71no—
389C24×C7C2411yescharacteristic
390C23×D7C2411yescharacteristic
391C23×D7C2411yescharacteristic
392C22×C4×C7—22no—
393C22×C4×C7—41no—
394C22×C4×C7—41no—
395C22×C4×C7C2411yescharacteristic
396C22×C4×C7C2411yescharacteristic
397C22×C4×C7C2411yescharacteristic
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
409C2×C22⋊D7—22no—
410C2×C22⋊D7—22no—
411C2×C22⋊D7—22no—
412C2×C22⋊D7—22no—
413C2×C22⋊D7—41no—
414C2×C22⋊D7—41no—
415C22×Dic7—22no—
416C22×Dic7—22no—
417C22×Dic7—22no—
418C22×Dic7—41no—
419C22×Dic7—41no—
420C22×Dic7#4114yes—
421C22×Dic7C2411yescharacteristic
422C22×Dic7C2411yescharacteristic
423C22×Dic7C2411yescharacteristic
424C22×Dic7C2411yescharacteristic
425C22×Dic7C2411yescharacteristic
426C22×Dic7C2411yescharacteristic
427C22×Dic7C2411yescharacteristic
428C22×Dic7C2411yescharacteristic
429C22×Dic7C2411yescharacteristic
430C22×Dic7C2411yescharacteristic
431C22×Dic7C2411yescharacteristic
432C22×Dic7C2411yescharacteristic
433C22×Dic7C2411yescharacteristic
434C22×Dic7C2411yescharacteristic
435C2×D28—22no—
436C2×D28—41no—
437C2×D28—41no—
438C2×C4×D7—22no—
439C2×C4×D7—22no—
440C2×C4×D7—22no—
441C2×C4×D7—22no—
442C2×C4×D7—22no—
443C2×C4×D7—22no—
444C2×C4×D7—22no—
445C2×C4×D7—41no—
446C2×C4×D7—41no—
447C2×C4×D7—41no—
448C2×C4×D7—41no—
449C2×C4×D7#4114yes—
450C2×Dic14—22no—
451C2×Dic14—41no—
452C2×Dic14—41no—
453C7×C4⋊C4—22no—
454C7×C4⋊C4—22no—
455C7×C4⋊C4—22no—
456C7×C4⋊C4—22no—
457C7×C4⋊C4—41no—
458C7×C4⋊C4—41no—
459C7×C4⋊C4—41no—
460C7×C4⋊C4—41no—
461C7×C4⋊C4—41no—
462C7×C4⋊C4—41no—
463C7×C22⋊C4—22no—
464C7×C22⋊C4—22no—
465C7×C22⋊C4—22no—
466C7×C22⋊C4—22no—
467C7×C22⋊C4—41no—
468C7×C22⋊C4—41no—
469C42×C7—41no—
470C42×C7—41no—
471C22⋊Dic7—22no—
472C22⋊Dic7—22no—
473C22⋊Dic7—41no—
474C22⋊Dic7—41no—
475(C2×D7)⋊C4—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—41no—
488(C2×D7)⋊C4—41no—
489(C2×D7)⋊C4—41no—
490(C2×D7)⋊C4—41no—
491(C2×D7)⋊C4—41no—
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—
497C4⋊Dic7—22no—
498C4⋊Dic7—22no—
499C4⋊Dic7—22no—
500C4⋊Dic7—22no—
501C4⋊Dic7—41no—
502C4⋊Dic7—41no—
503C4⋊Dic7—41no—
504C4⋊Dic7—41no—
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—22no—
515Dic7⋊C4—22no—
516Dic7⋊C4—22no—
517Dic7⋊C4—41no—
518Dic7⋊C4—41no—
519Dic7⋊C4—41no—
520Dic7⋊C4—41no—
521Dic7⋊C4—41no—
522Dic7⋊C4—41no—
523Dic7⋊C4—41no—
524Dic7⋊C4—41no—
525Dic7⋊C4—41no—
526Dic7⋊C4—41no—
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—41no—
544C4×Dic7#4114yes—
545C2×#126—71no—
546C2×#125—71no—
547C2×#123—71no—
548C2×C22⋊Q8—71no—
549C2×C4×Q8—71no—
550C2×C4×D4—71no—
551C2×C4×D4—71no—
552C2×C4×D4—71no—
553C2×C4×D4—71no—
554C2×C4×D4—71no—
555C2×#117—71no—
556C2×#117—71no—
557C2×#117—71no—
558C22×C42—71no—
559C22×C42—71no—
560#401—71no—
561#400—71no—
562#400—71no—
563#400—71no—
564#400—71no—
565#400—71no—
566#400—71no—
567#400—71no—
568#400—71no—
569#400—71no—
570#400C2×D711yescharacteristic
571#400C2×D711yescharacteristic
572#400C2×D711yescharacteristic
573#399—71no—
574#399—71no—
575#399—71no—
576#399—71no—
577#399—71no—
578#398—71no—
579#398—71no—
580#398—71no—
581#398—71no—
582#398—71no—
583#398—71no—
584#398—71no—
585#398—71no—
586#398—71no—
587#398—71no—
588#398—71no—
589#398C2×D711yescharacteristic
590#397—71no—
591#397—71no—
592#397—71no—
593#397—71no—
594#397—71no—
595#397—71no—
596#397—71no—
597#397—71no—
598#397—71no—
599#397—71no—
600#397C2×D711yescharacteristic
601#397C2×D711yescharacteristic
602#397C2×D711yescharacteristic
603#396—71no—
604#396—71no—
605#396—71no—
606#396—71no—
607#396—71no—
608#396—71no—
609#396C2×D711yescharacteristic
610#395—71no—
611#395—71no—
612#394—71no—
613#394—71no—
614#394—71no—
615#394—71no—
616#394—71no—
617#394—71no—
618#394—71no—
619#394—71no—
620#394—71no—
621#393—71no—
622#393—71no—
623#392—71no—
624#391—71no—
625#389—71no—
626#389—71no—
627#389—71no—
628#389—71no—
629#389—71no—
630#389—71no—
631#389C2×D711yescharacteristic
632#388—71no—
633#388—71no—
634#388—71no—
635#388—71no—
636#388—71no—
637#388—71no—
638#388—71no—
639#387—71no—
640#387—71no—
641#387—71no—
642#387—71no—
643#387—71no—
644#387—71no—
645#387—71no—
646#387—71no—
647#387—71no—
648#387—71no—
649#387C2×D711yescharacteristic
650#387C2×D711yescharacteristic
651#387C2×D711yescharacteristic
652#386—71no—
653#386—71no—
654#386—71no—
655#385—71no—
656#385—71no—
657#385—71no—
658#385—71no—
659#385—71no—
660#385—71no—
661#385—71no—
662#385C2×D711yescharacteristic
663#385C2×D711yescharacteristic
664#383—71no—
665#382—71no—
666#381—71no—
667#380—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×C4⋊C4—71no—
677C4×C4⋊C4—71no—
678C4×C4⋊C4—71no—
679C4×C4⋊C4—71no—
680C4×C4⋊C4—71no—
681C4×C4⋊C4—71no—
682C4×C4⋊C4—71no—
683C4×C4⋊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⋊C4—71no—
692C4×C22⋊C4—71no—
693C4×C22⋊C4—71no—
694C4×C22⋊C4—71no—
695C4×C22⋊C4—71no—
696C4×C22⋊C4—71no—
697C4×C22⋊C4C2×D711yescharacteristic
698#376—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—
722C2×C4×C7—21no—
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—21no—
760C2×C4×C7—21no—
761C2×C4×C7—21no—
762C2×C4×C7—44no—
763C2×C4×C7C2×#4112yes—
764C2×C4×C7C2×#4112yes—
765C22⋊D7—28no—
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—28no—
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—44no—
804C2×Dic7C2×#4112yes—
805C2×Dic7C2×#4112yes—
806C2×Dic7C2×#4112yes—
807C2×Dic7C2×#4112yes—
808C2×Dic7C2×#4112yes—
809C2×Dic7H(5,𝔽2)12yes—
810C2×Dic72−1+412yes—
811D28—44no—
812C4×D7—44no—
813C4×D7—44no—
814C4×D7—44no—
815C4×D7—44no—
816Dic14—44no—
817C22×Q8—71no—
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#125—144no—
830#123—144no—
831C22⋊Q8—144no—
832C4×Q8—282no—
833C4×D4—144no—
834C4×D4—144no—
835C4×D4—144no—
836C4×D4—144no—
837C4×D4—282no—
838#117—144no—
839#117—282no—
840#117—282no—
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⋊C4—71no—
868C2×C4⋊C4—71no—
869C2×C4⋊C4—71no—
870C2×C4⋊C4—71no—
871C2×C4⋊C4C22×D711yescharacteristic
872C2×C4⋊C4C22×D711yescharacteristic
873C2×C4⋊C4C22×D711yescharacteristic
874C2×C4⋊C4C22×D711yescharacteristic
875C2×C4⋊C4C22×D711yescharacteristic
876C2×C4⋊C4C22×D711yescharacteristic
877C2×C4⋊C4C22×D711yescharacteristic
878C2×C4⋊C4C22×D711yescharacteristic
879C2×C4⋊C4C22×D711yescharacteristic
880C2×C4⋊C4C22×D711yescharacteristic
881C2×C22⋊C4—71no—
882C2×C22⋊C4—71no—
883C2×C22⋊C4—71no—
884C2×C22⋊C4—71no—
885C2×C22⋊C4—71no—
886C2×C22⋊C4—71no—
887C2×C22⋊C4—71no—
888C2×C22⋊C4—71no—
889C2×C22⋊C4—71no—
890C2×C22⋊C4—71no—
891C2×C22⋊C4—71no—
892C2×C22⋊C4—71no—
893C2×C22⋊C4—71no—
894C2×C22⋊C4—71no—
895C2×C22⋊C4—71no—
896C2×C22⋊C4—71no—
897C2×C22⋊C4—71no—
898C2×C22⋊C4—71no—
899C2×C22⋊C4—71no—
900C2×C22⋊C4—71no—
901C2×C22⋊C4—71no—
902C2×C22⋊C4—71no—
903C2×C22⋊C4—71no—
904C2×C22⋊C4—71no—
905C2×C22⋊C4—71no—
906C2×C22⋊C4—71no—
907C2×C22⋊C4C22×D711yescharacteristic
908C2×C22⋊C4C22×D711yescharacteristic
909C2×C22⋊C4C22×D711yescharacteristic
910C2×C22⋊C4C22×D711yescharacteristic
911C2×C22⋊C4C22×D711yescharacteristic
912C2×C22⋊C4C22×D711yescharacteristic
913C2×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—71no—
931C2×C42—282no—
932C2×C42—282no—
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#95C22×D711yescharacteristic
972#95C22×D711yescharacteristic
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×C7C2×H(5,𝔽2)11yescharacteristic
998C22×C7C2×2−1+411yescharacteristic
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—41no—
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—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#53914yes—
1043C24—71no—
1044C24—71no—
1045C24C23×D711yescharacteristic
1046C2×Q8—142no—
1047C2×Q8—281no—
1048C2×Q8—281no—
1049C2×D4—142no—
1050C2×D4—142no—
1051C2×D4—142no—
1052C2×D4—142no—
1053C2×D4—142no—
1054C2×D4—281no—
1055C2×D4—281no—
1056C2×D4—281no—
1057C2×D4—281no—
1058C22×C4—22no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—71no—
1062C22×C4—74no—
1063C22×C4—71no—
1064C22×C4—71no—
1065C22×C4—71no—
1066C22×C4—71no—
1067C22×C4—74no—
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—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—281no—
1088C22×C4—281no—
1089C22×C4—281no—
1090C22×C4—281no—
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—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
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—281no—
1134C4⋊C4—281no—
1135C4⋊C4—281no—
1136C4⋊C4—281no—
1137C4⋊C4—281no—
1138C4⋊C4—281no—
1139C4⋊C4—281no—
1140C4⋊C4—281no—
1141C4⋊C4—281no—
1142C4⋊C4—281no—
1143C4⋊C4—281no—
1144C4⋊C4—281no—
1145C4⋊C4—281no—
1146C4⋊C4—281no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—41no—
1152C22⋊C4—41no—
1153C22⋊C4—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—
1171C22⋊C4—281no—
1172C22⋊C4—281no—
1173C22⋊C4—281no—
1174C22⋊C4—281no—
1175C22⋊C4—281no—
1176C22⋊C4—281no—
1177C22⋊C4—281no—
1178C22⋊C4—281no—
1179C42—41no—
1180C42—41no—
1181C42—74no—
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—281no—
1196C42—281no—
1197C42—281no—
1198C42—281no—
1199C2×C7—42no—
1200C2×C7#344411yescharacteristic
1201C2×C7C2×#53911yescharacteristic
1202C2×C7#345511yescharacteristic
1203C2×C7#345911yescharacteristic
1204C2×C7#346011yescharacteristic
1205C2×C7#346111yescharacteristic
1206C2×C7#346111yescharacteristic
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—
1229C23D7×#4112yes—
1230C23C24×D711yescharacteristic
1231Q8—284no—
1232D4—148no—
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—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—44no—
1276C2×C4—72no—
1277C2×C4—72no—
1278C2×C4—72no—
1279C2×C4—72no—
1280C2×C4—72no—
1281C2×C4—72no—
1282C2×C4—72no—
1283C2×C4—148no—
1284C2×C4—141no—
1285C2×C4—141no—
1286C2×C4—141no—
1287C2×C4—141no—
1288C2×C4—141no—
1289C2×C4—141no—
1290C2×C4—141no—
1291C2×C4—141no—
1292C2×C4—141no—
1293C2×C4—141no—
1294C2×C4—141no—
1295C2×C4—141no—
1296C2×C4—141no—
1297C2×C4—141no—
1298C2×C4—141no—
1299C2×C4—141no—
1300C2×C4—141no—
1301C2×C4—141no—
1302C2×C4—141no—
1303C2×C4—141no—
1304C2×C4—141no—
1305C2×C4—141no—
1306C2×C4—141no—
1307C2×C4—141no—
1308C2×C4—141no—
1309C2×C4—141no—
1310C2×C4—141no—
1311C2×C4—141no—
1312C2×C4—141no—
1313C2×C4—141no—
1314C2×C4—141no—
1315C2×C4—141no—
1316C2×C4—141no—
1317C2×C4—141no—
1318C2×C4—141no—
1319C2×C4—284no—
1320C2×C4—284no—
1321C2×C4—284no—
1322C2×C4—284no—
1323C2×C4—284no—
1324C2×C4D7×#4112yes—
1325C2×C4D7×#4112yes—
1326C7#3459211yescharacteristic, 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—
1348C22C2×D7×#4111yescharacteristic
1349C22C2×D7×#4111yescharacteristic
1350C22C2×D7×#4111yescharacteristic
1351C22D7×H(5,𝔽2)11yescharacteristic
1352C22#9061811yescharacteristic
1353C22D7×2−1+411yescharacteristic
1354C22#9062011yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—41no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
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—
1386C2#1174318711yescharacteristic
1387C2#1174345611yescharacteristic
1388C2#1174349511yescharacteristic
1389C2#1174349711yescharacteristic
1390C2D7×#53911yescharacteristic
1391C2#1174356411yescharacteristic
1392C2#1174359211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2652C2
prime radical#89732C22
hypercenter#2652D7
hypocenterC7#34592
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2652

Complements

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

NH ≅ G/Ntype
1. C7×#2652C2semidirect
2. #11735678C2semidirect
3. #11735670C2semidirect
4. #11735664C2semidirect
5. #11735578C2semidirect
6. #11735577C2semidirect
7. #11735575C2semidirect
8. #11735286C2semidirect
9. #11735183C2semidirect
10. #11735005C2semidirect
11. #11735002C2semidirect
12. #11734988C2semidirect
13. #11734904C2semidirect
14. #11734904C2semidirect
17. #11734727C2semidirect
18. #11733700C2semidirect
19. #11733411C2semidirect
20. #11732593C2semidirect
21. #11732588C2semidirect
22. #11732584C2semidirect
23. #11732387C2semidirect
24. #11732386C2semidirect
25. #11732385C2semidirect
26. #11732069C2semidirect
28. #11731823C2semidirect
29. #11731822C2semidirect
30. #11731055C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
367. #2652D7semidirect
1326. C7#34592semidirect

Maximal subgroups

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

subgroupindex
C7×#26522
#117356782
#117356702
#117356642
#117355782
#117355772
#117355752
#117352862
#117351832
#117350052
#117350022
#117349882
#117349042
#117349022
#117347802
#117347272
#117337002
#117334112
#117325932
#117325882
#117325842
#117323872
#117323862
#117323852
#117320692
#117320672
#117318232
#117318222
#117310552
C4×(C22⋊D7)⋊C42
#345927