Finite Group Databasebeta

← #13559854

Subgroups — #13559854

Order 1792.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2853C211yesmaximal, characteristic, complemented
2#11740336C211yesmaximal, characteristic
3Dic7×#123C211yesmaximal, characteristic, complemented
4#11739524C211yesmaximal, characteristic, complemented
5C2×C42×Dic7C211yesmaximal, characteristic, complemented
6#11733268C211yesmaximal, characteristic, complemented
7#11733267C211yesmaximal, characteristic, complemented
8#11733266C211yesmaximal, characteristic, complemented
9#11733265C211yesmaximal, characteristic, complemented
10#11732900C211yesmaximal, characteristic, complemented
11#11732899C211yesmaximal, characteristic, complemented
12#11732896C211yesmaximal, characteristic, complemented
13#11732895C211yesmaximal, characteristic, complemented
14#11732739C211yesmaximal, characteristic, complemented
15#11732738C211yesmaximal, characteristic, complemented
16#11732737C211yesmaximal, characteristic, complemented
17#11732736C211yesmaximal, characteristic, complemented
18#11732388C211yesmaximal, characteristic, complemented
19#11732387C211yesmaximal, characteristic, complemented
20#11732384C211yesmaximal, characteristic, complemented
21#11732383C211yesmaximal, characteristic, complemented
22#11732315C211yesmaximal, characteristic, complemented
23#11732314C211yesmaximal, characteristic
24#11732105C211yesmaximal, characteristic
25#11732102C211yesmaximal, characteristic, complemented
26#11732032C211yesmaximal, characteristic, complemented
27#11732031C211yesmaximal, characteristic, complemented
28#11731826C211yesmaximal, characteristic, complemented
29#11731822C211yesmaximal, characteristic, complemented
30#11731562C211yesmaximal, characteristic, complemented
31#11731497C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic
33C22×C42×C7C2211yescharacteristic
34C2×#6502C2211yescharacteristic
35C2×D4×Dic7C2211yescharacteristic
36C2×#6492C2211yescharacteristic
37C22×C4×Dic7C2211yescharacteristic
38C22×C4×Dic7C2211yescharacteristic
39C22×C4×Dic7C2211yescharacteristic
40C22×C4×Dic7C2211yescharacteristic
41C22×C4×Dic7C2211yescharacteristic
42C22×C4×Dic7C2211yescharacteristic
43C2×#6461C2211yescharacteristic
44C2×#6455C2211yescharacteristic
45C2×#6452C2211yescharacteristic
46C2×#6450C2211yescharacteristic
47C2×#6448C2211yescharacteristic
48C2×(C22⋊D7)⋊C4C2211yescharacteristic
49C2×(C22⋊D7)⋊C4C2211yescharacteristic
50C2×#6442C2211yescharacteristic
51C2×#6441C2211yescharacteristic
52C2×#6440C2211yescharacteristic
53C7×#388C2211yescharacteristic
54C7×#388C2211yescharacteristic
55C7×#388C2211yescharacteristic
56C7×#388C2211yescharacteristic
57C7×#387C2211yescharacteristic
58C7×#387C2211yescharacteristic
59C7×#387C2211yescharacteristic
60C7×#387C2211yescharacteristic
61C7×#386C2211yescharacteristic
62C7×#386C2211yescharacteristic
63C7×#385C2211yescharacteristic
64C7×#385C2211yescharacteristic
65C7×#381C2211yescharacteristic
66#89992C2211yescharacteristic
67#89992C2211yescharacteristic
68#89985C2211yescharacteristic
69#89985C2211yescharacteristic
70#89983C2211yescharacteristic
71#89982C2211yescharacteristic
72#89982C2211yescharacteristic
73#89762C2211yescharacteristic
74#89762C2211yescharacteristic
75#89762C2211yescharacteristic
76#89762C2211yescharacteristic
77#89753C2211yescharacteristic
78#89753C2211yescharacteristic
79#89753C2211yescharacteristic
80#89753C2211yescharacteristic
81#89750C2211yescharacteristic
82#89750C2211yescharacteristic
83#89750C2211yescharacteristic
84#89750C2211yescharacteristic
85C4⋊C4×Dic7C2211yescharacteristic
86C4⋊C4×Dic7C2211yescharacteristic
87C4⋊C4×Dic7C2211yescharacteristic
88C4⋊C4×Dic7C2211yescharacteristic
89#89744C2211yescharacteristic
90#89744C2211yescharacteristic
91#89744C2211yescharacteristic
92#89744C2211yescharacteristic
93#89730C2211yescharacteristic
94#89730C2211yescharacteristic
95#89729C2211yescharacteristic
96#89729C2211yescharacteristic
97#89729C2211yescharacteristic
98#89729C2211yescharacteristic
99#89723C2211yescharacteristic
100#89723C2211yescharacteristic
101#89723C2211yescharacteristic
102#89723C2211yescharacteristic
103#89722C2211yescharacteristic
104#89722C2211yescharacteristic
105#89718C2211yescharacteristic
106#89718C2211yescharacteristic
107#89717C2211yescharacteristic
108#89717C2211yescharacteristic
109#89717C2211yescharacteristic
110#89717C2211yescharacteristic
111#89716C2211yescharacteristic
112#89716C2211yescharacteristic
113#89716C2211yescharacteristic
114#89716C2211yescharacteristic
115#89714C2211yescharacteristic
116#89714C2211yescharacteristic
117C22⋊C4×Dic7C2211yescharacteristic
118C22⋊C4×Dic7C2211yescharacteristic
119C22⋊C4×Dic7C2211yescharacteristic
120C22⋊C4×Dic7C2211yescharacteristic
121C22⋊C4×Dic7C2211yescharacteristic
122C22⋊C4×Dic7C2211yescharacteristic
123#89712C2211yescharacteristic
124#89712C2211yescharacteristic
125#89712C2211yescharacteristic
126#89712C2211yescharacteristic
127#89705C2211yescharacteristic
128#89705C2211yescharacteristic
129#89705C2211yescharacteristic
130#89705C2211yescharacteristic
131C42×Dic7C2211yescharacteristic
132C42×Dic7C2211yescharacteristic
133C42×Dic7C2211yescharacteristic
134C42×Dic7C2211yescharacteristic
135C42×Dic7C2211yescharacteristic
136C42×Dic7C2211yescharacteristic
137C42×Dic7C2211yescharacteristic
138C42×Dic7C2211yescharacteristic
139#89442C2211yescharacteristic
140#89442C2211yescharacteristic
141#89442C2211yescharacteristic
142#89442C2211yescharacteristic
143#89441C2211yescharacteristic
144#89441C2211yescharacteristic
145#89441C2211yescharacteristic
146#89441C2211yescharacteristic
147#89438C2211yescharacteristic
148#89438C2211yescharacteristic
149#89438C2211yescharacteristic
150#89438C2211yescharacteristic
151#89427C2211yescharacteristic
152#89427C2211yescharacteristic
153#89427C2211yescharacteristic
154#89427C2211yescharacteristic
155#89426C2211yescharacteristic
156#89426C2211yescharacteristic
157#89426C2211yescharacteristic
158#89426C2211yescharacteristic
159#89425C2211yescharacteristic
160#89425C2211yescharacteristic
161#89425C2211yescharacteristic
162#89425C2211yescharacteristic
163#89424C2211yescharacteristic
164#89424C2211yescharacteristic
165#89424C2211yescharacteristic
166#89424C2211yescharacteristic
167#89423C2211yescharacteristic
168#89423C2211yescharacteristic
169#89422C2211yescharacteristic
170#89422C2211yescharacteristic
171#89421C2211yescharacteristic
172#89421C2211yescharacteristic
173#89421C2211yescharacteristic
174#89421C2211yescharacteristic
175#89421C2211yescharacteristic
176#89421C2211yescharacteristic
177#89420C2211yescharacteristic
178#89420C2211yescharacteristic
179#89419C2211yescharacteristic
180#89419C2211yescharacteristic
181#89419C2211yescharacteristic
182#89419C2211yescharacteristic
183#89418C2211yescharacteristic
184#89418C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#36638—71nomaximal, Sylow
188C22×C7×D4C2311yescharacteristic
189C23×C4×C7C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C23×Dic7C2311yescharacteristic
195C23×Dic7C2311yescharacteristic
196C23×Dic7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C22×C4×D7C2311yescharacteristic
200C22×Dic14C2311yescharacteristic
201C7×#123—24no—
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×C42×C7—24no—
218C2×C42×C7C2311yescharacteristic
219C2×C42×C7C2311yescharacteristic
220C2×C42×C7C2311yescharacteristic
221C2×C42×C7C2311yescharacteristic
222C2×C22⋊Dic7C2311yescharacteristic
223C2×C22⋊Dic7C2311yescharacteristic
224C2×C22⋊Dic7C2311yescharacteristic
225C2×C22⋊Dic7C2311yescharacteristic
226C2×C22⋊Dic7C2311yescharacteristic
227C2×C22⋊Dic7C2311yescharacteristic
228C2×C22⋊Dic7C2311yescharacteristic
229C2×C22⋊Dic7C2311yescharacteristic
230C2×C22⋊Dic7C2311yescharacteristic
231#6502—24no—
232D4×Dic7—24no—
233#6492—24no—
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×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×C4×Dic7—24no—
271C2×C4×Dic7—24no—
272C2×C4×Dic7—24no—
273C2×C4×Dic7—24no—
274C2×C4×Dic7—24no—
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
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306#6461—24no—
307#6455—24no—
308#6452—24no—
309#6450—24no—
310#6448—24no—
311(C22⋊D7)⋊C4—24no—
312(C22⋊D7)⋊C4—24no—
313#6442—24no—
314#6441—24no—
315#6440—24no—
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
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364#2866—71no—
365#2866—71no—
366#2865—71no—
367#2865—71no—
368#2864—71no—
369#2863—71no—
370#2861—71no—
371#2860—71no—
372#2855—71no—
373#2854—71no—
374#2853—71no—
375#2853D711yescharacteristic, complemented
376#2852—71no—
377#2852—71no—
378#2851—71no—
379#2850—71no—
380C4×#125—71no—
381C4×#126—71no—
382C4×#126—71no—
383C4×#124—71no—
384C4×C22⋊Q8—71no—
385C4×#123—71no—
386C4×#123—71no—
387C4×#121—71no—
388#2298—71no—
389#2298—71no—
390#2295—71no—
391#2293—71no—
392#2290—71no—
393#2290—71no—
394C2×C43—71no—
395C24×C7C2411yescharacteristic
396C24×C7C2411yescharacteristic
397C23×D7C2411yescharacteristic
398C2×C7×D4—22no—
399C2×C7×D4—22no—
400C2×C7×D4—22no—
401C22×C4×C7—22no—
402C22×C4×C7—22no—
403C22×C4×C7—22no—
404C22×C4×C7—22no—
405C22×C4×C7—22no—
406C22×C4×C7—22no—
407C22×C4×C7—22no—
408C22×C4×C7—22no—
409C22×C4×C7#4114yes—
410C22×C4×C7C2411yescharacteristic
411C22×C4×C7C2411yescharacteristic
412C22×C4×C7C2411yescharacteristic
413C22×C4×C7C2411yescharacteristic
414C22×C4×C7C2411yescharacteristic
415C22×C4×C7C2411yescharacteristic
416C22×C4×C7C2411yescharacteristic
417C22×C4×C7C2411yescharacteristic
418C22×C4×C7C2411yescharacteristic
419C22×C4×C7C2411yescharacteristic
420C22×C4×C7C2411yescharacteristic
421C22×C4×C7C2411yescharacteristic
422C22×C4×C7C2411yescharacteristic
423C2×C22⋊D7—22no—
424C2×C22⋊D7—22no—
425C2×C22⋊D7—22no—
426C2×C22⋊D7—22no—
427C2×C22⋊D7—22no—
428C2×C22⋊D7—22no—
429C22×Dic7—22no—
430C22×Dic7—22no—
431C22×Dic7—22no—
432C22×Dic7—22no—
433C22×Dic7—22no—
434C22×Dic7—22no—
435C22×Dic7—22no—
436C22×Dic7—22no—
437C22×Dic7—22no—
438C22×Dic7—22no—
439C22×Dic7—22no—
440C22×Dic7—22no—
441C22×Dic7—22no—
442C22×Dic7#4114yes—
443C22×Dic7#4114yes—
444C22×Dic7C2411yescharacteristic
445C22×Dic7C2411yescharacteristic
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C2×C4×D7—22no—
460C2×C4×D7—22no—
461C2×C4×D7—22no—
462C2×Dic14—22no—
463C2×Dic14—22no—
464C2×Dic14—22no—
465C7×C4⋊C4—22no—
466C7×C4⋊C4—22no—
467C7×C4⋊C4—22no—
468C7×C4⋊C4—22no—
469C7×C4⋊C4—22no—
470C7×C4⋊C4—22no—
471C7×C22⋊C4—22no—
472C7×C22⋊C4—22no—
473C7×C22⋊C4—22no—
474C7×C22⋊C4—22no—
475C7×C22⋊C4—22no—
476C7×C22⋊C4—22no—
477C7×C22⋊C4—22no—
478C7×C22⋊C4—22no—
479C7×C22⋊C4—22no—
480C42×C7—22no—
481C42×C7—22no—
482C42×C7—22no—
483C42×C7—22no—
484C22⋊Dic7—22no—
485C22⋊Dic7—22no—
486C22⋊Dic7—22no—
487C22⋊Dic7—22no—
488C22⋊Dic7—22no—
489C22⋊Dic7—22no—
490C22⋊Dic7—22no—
491C22⋊Dic7—22no—
492C22⋊Dic7—22no—
493(C2×D7)⋊C4—22no—
494(C2×D7)⋊C4—22no—
495(C2×D7)⋊C4—22no—
496(C2×D7)⋊C4—22no—
497(C2×D7)⋊C4—22no—
498(C2×D7)⋊C4—22no—
499(C2×D7)⋊C4—22no—
500(C2×D7)⋊C4—22no—
501(C2×D7)⋊C4—22no—
502(C2×D7)⋊C4—22no—
503(C2×D7)⋊C4—22no—
504(C2×D7)⋊C4—22no—
505C4⋊Dic7—22no—
506C4⋊Dic7—22no—
507C4⋊Dic7—22no—
508C4⋊Dic7—22no—
509C4⋊Dic7—22no—
510C4⋊Dic7—22no—
511Dic7⋊C4—22no—
512Dic7⋊C4—22no—
513Dic7⋊C4—22no—
514Dic7⋊C4—22no—
515Dic7⋊C4—22no—
516Dic7⋊C4—22no—
517Dic7⋊C4—22no—
518Dic7⋊C4—22no—
519Dic7⋊C4—22no—
520Dic7⋊C4—22no—
521Dic7⋊C4—22no—
522Dic7⋊C4—22no—
523Dic7⋊C4—22no—
524Dic7⋊C4—22no—
525Dic7⋊C4—22no—
526Dic7⋊C4—22no—
527Dic7⋊C4—22no—
528Dic7⋊C4—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—22no—
541C4×Dic7—22no—
542C4×Dic7—22no—
543C4×Dic7—22no—
544C4×Dic7—22no—
545C4×Dic7—22no—
546C4×Dic7—22no—
547C4×Dic7—22no—
548C4×Dic7—22no—
549C4×Dic7—22no—
550C4×Dic7—22no—
551C4×Dic7—22no—
552C4×Dic7—22no—
553C4×Dic7—22no—
554C4×Dic7—22no—
555C4×Dic7#4114yes—
556C4×Dic7#4114yes—
557C4×Dic7#4114yes—
558C4×Dic7#4114yes—
559C2×#126—71no—
560C2×#126—71no—
561C2×#125—71no—
562C2×#124—71no—
563C2×#123—71no—
564C2×#123C2×D711yescharacteristic
565C2×C22⋊Q8—71no—
566C2×#121—71no—
567C2×C4×Q8—71no—
568C2×C4×D4—71no—
569C2×C4×D4—71no—
570C2×C4×D4—71no—
571C2×#117—71no—
572C2×#117—71no—
573C22×C42—71no—
574C22×C42—71no—
575C22×C42—71no—
576C22×C42—71no—
577C22×C42—71no—
578C22×C42—71no—
579C22×C42C2×D711yescharacteristic
580#391—71no—
581#391—71no—
582#391—71no—
583#391—71no—
584#390—71no—
585#390—71no—
586#390—71no—
587#390—71no—
588#389—71no—
589#389—71no—
590#389—71no—
591#389—71no—
592#389—71no—
593#389—71no—
594#389—71no—
595#389—71no—
596#388—71no—
597#388—71no—
598#388—71no—
599#388—71no—
600#388—71no—
601#388—71no—
602#388—71no—
603#388—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#388C2×D711yescharacteristic
625#388C2×D711yescharacteristic
626#388C2×D711yescharacteristic
627#388C2×D711yescharacteristic
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#387—71no—
645#387—71no—
646#387—71no—
647#387—71no—
648#387—71no—
649#387—71no—
650#387—71no—
651#387—71no—
652#387—71no—
653#387—71no—
654#387—71no—
655#387—71no—
656#387C2×D711yescharacteristic
657#387C2×D711yescharacteristic
658#387C2×D711yescharacteristic
659#387C2×D711yescharacteristic
660#386—71no—
661#386—71no—
662#386—71no—
663#386—71no—
664#386—71no—
665#386—71no—
666#386C2×D711yescharacteristic
667#386C2×D711yescharacteristic
668#385—71no—
669#385—71no—
670#385—71no—
671#385—71no—
672#385—71no—
673#385—71no—
674#385C2×D711yescharacteristic
675#385C2×D711yescharacteristic
676#383—71no—
677#383—71no—
678#382—71no—
679#382—71no—
680#381—71no—
681#381C2×D711yescharacteristic
682#380—71no—
683#380—71no—
684C4×C4⋊C4—71no—
685C4×C4⋊C4—71no—
686C4×C4⋊C4—71no—
687C4×C4⋊C4—71no—
688C4×C4⋊C4—71no—
689C4×C4⋊C4—71no—
690C4×C4⋊C4—71no—
691C4×C4⋊C4—71no—
692C4×C4⋊C4—71no—
693C4×C4⋊C4—71no—
694C4×C22⋊C4—71no—
695C4×C22⋊C4—71no—
696C4×C22⋊C4—71no—
697C4×C22⋊C4—71no—
698C4×C22⋊C4—71no—
699C4×C22⋊C4—71no—
700C4×C22⋊C4—71no—
701C4×C22⋊C4—71no—
702C4×C22⋊C4—71no—
703C4×C22⋊C4—71no—
704#376—71no—
705#376—71no—
706C43—71no—
707C43—71no—
708C43—71no—
709C43—71no—
710C43—71no—
711C43—71no—
712C43—71no—
713C43—71no—
714C23×C7—21no—
715C23×C7—21no—
716C23×C7—21no—
717C23×C7—21no—
718C23×C7—21no—
719C23×C7—21no—
720C23×C7—21no—
721C23×C7—21no—
722C23×C7—21no—
723C23×C7—21no—
724C23×C7—21no—
725C23×C7C2×#4112yes—
726C23×C7C2×#4112yes—
727C23×C7C2×#4112yes—
728C23×C7C2511yescharacteristic
729C22×D7—21no—
730C22×D7—21no—
731C22×D7—21no—
732C22×D7—21no—
733C22×D7—21no—
734C22×D7—21no—
735C22×D7—21no—
736C7×D4—44no—
737C2×C4×C7—28no—
738C2×C4×C7—28no—
739C2×C4×C7—28no—
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—21no—
763C2×C4×C7—21no—
764C2×C4×C7—21no—
765C2×C4×C7—21no—
766C2×C4×C7—21no—
767C2×C4×C7—21no—
768C2×C4×C7—21no—
769C2×C4×C7—21no—
770C2×C4×C7—21no—
771C2×C4×C7—21no—
772C2×C4×C7—21no—
773C2×C4×C7C2×#4112yes—
774C2×C4×C7C2×#4112yes—
775C2×C4×C7C2×#4112yes—
776C2×C4×C7C2×#4112yes—
777C2×C4×C7C2×#4112yes—
778C2×C4×C7C2×#4112yes—
779C22⋊D7—44no—
780C22⋊D7—44no—
781C2×Dic7—28no—
782C2×Dic7—28no—
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—28no—
796C2×Dic7—28no—
797C2×Dic7—21no—
798C2×Dic7—21no—
799C2×Dic7—21no—
800C2×Dic7—21no—
801C2×Dic7—21no—
802C2×Dic7—21no—
803C2×Dic7—21no—
804C2×Dic7—21no—
805C2×Dic7—21no—
806C2×Dic7—21no—
807C2×Dic7—21no—
808C2×Dic7—21no—
809C2×Dic7—21no—
810C2×Dic7—21no—
811C2×Dic7—21no—
812C2×Dic7—21no—
813C2×Dic7—21no—
814C2×Dic7—21no—
815C2×Dic7—21no—
816C2×Dic7—21no—
817C2×Dic7—21no—
818C2×Dic7—44no—
819C2×Dic7C2×#4112yes—
820C2×Dic7C2×#4112yes—
821C2×Dic7C2×#4112yes—
822C2×Dic7C2×#4112yes—
823C2×Dic7C2×#4112yes—
824C2×Dic7C2×#4112yes—
825C2×Dic7C2×#4112yes—
826C2×Dic7C2×#4112yes—
827C2×Dic7C2×#4112yes—
828C2×Dic7C2×#4112yes—
829C2×Dic7C2×#4112yes—
830C2×Dic7C2×#4112yes—
831C4×D7—44no—
832Dic14—44no—
833C22×Q8—71no—
834C22×D4—71no—
835C22×D4—71no—
836C22×D4C22×D711yescharacteristic
837C23×C4—71no—
838C23×C4—71no—
839C23×C4—71no—
840C23×C4—71no—
841C23×C4—71no—
842C23×C4—71no—
843C23×C4C22×D711yescharacteristic
844C23×C4C22×D711yescharacteristic
845C23×C4C22×D711yescharacteristic
846#126—144no—
847#126—144no—
848#125—144no—
849#124—144no—
850#123—24no—
851#123—144no—
852C22⋊Q8—144no—
853#121—144no—
854C4×Q8—144no—
855C4×D4—144no—
856C4×D4—144no—
857C4×D4—144no—
858#117—144no—
859#117—144no—
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⋊C4—71no—
872C2×C4⋊C4—71no—
873C2×C4⋊C4—71no—
874C2×C4⋊C4—71no—
875C2×C4⋊C4—71no—
876C2×C4⋊C4—71no—
877C2×C4⋊C4—71no—
878C2×C4⋊C4—71no—
879C2×C4⋊C4—71no—
880C2×C4⋊C4—71no—
881C2×C4⋊C4—71no—
882C2×C4⋊C4—71no—
883C2×C4⋊C4—71no—
884C2×C4⋊C4C22×D711yescharacteristic
885C2×C4⋊C4C22×D711yescharacteristic
886C2×C4⋊C4C22×D711yescharacteristic
887C2×C4⋊C4C22×D711yescharacteristic
888C2×C4⋊C4C22×D711yescharacteristic
889C2×C4⋊C4C22×D711yescharacteristic
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⋊C4—71no—
908C2×C22⋊C4—71no—
909C2×C22⋊C4—71no—
910C2×C22⋊C4—71no—
911C2×C22⋊C4C22×D711yescharacteristic
912C2×C22⋊C4C22×D711yescharacteristic
913C2×C22⋊C4C22×D711yescharacteristic
914C2×C22⋊C4C22×D711yescharacteristic
915C2×C22⋊C4C22×D711yescharacteristic
916C2×C22⋊C4C22×D711yescharacteristic
917C2×C22⋊C4C22×D711yescharacteristic
918C2×C22⋊C4C22×D711yescharacteristic
919C2×C22⋊C4C22×D711yescharacteristic
920C2×C42—24no—
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—71no—
932C2×C42—71no—
933C2×C42—71no—
934C2×C42—71no—
935C2×C42—71no—
936C2×C42—71no—
937C2×C42—71no—
938C2×C42—71no—
939C2×C42—71no—
940C2×C42—71no—
941C2×C42—71no—
942C2×C42—71no—
943C2×C42—71no—
944C2×C42—71no—
945C2×C42—71no—
946C2×C42—71no—
947C2×C42—71no—
948C2×C42—71no—
949C2×C42—71no—
950C2×C42—71no—
951C2×C42—144no—
952C2×C42—144no—
953C2×C42—144no—
954C2×C42—144no—
955C2×C42—144no—
956C2×C42—144no—
957C2×C42C22×D711yescharacteristic
958C2×C42C22×D711yescharacteristic
959C2×C42C22×D711yescharacteristic
960C2×C42C22×D711yescharacteristic
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#95—71no—
978#95—71no—
979#95—71no—
980#95—71no—
981#95—71no—
982#95—71no—
983#95—71no—
984#95—71no—
985#95—71no—
986#95—71no—
987#95—71no—
988#95—71no—
989#95—71no—
990#95—71no—
991#95—71no—
992#95—71no—
993#95—71no—
994#95—71no—
995#95—71no—
996#95—71no—
997#95C22×D711yescharacteristic
998#95C22×D711yescharacteristic
999#95C22×D711yescharacteristic
1000#95C22×D711yescharacteristic
1001#95C22×D711yescharacteristic
1002#95C22×D711yescharacteristic
1003#95C22×D711yescharacteristic
1004#95C22×D711yescharacteristic
1005#95C22×D711yescharacteristic
1006#95C22×D711yescharacteristic
1007#95C22×D711yescharacteristic
1008#95C22×D711yescharacteristic
1009C22×C7—22no—
1010C22×C7—22no—
1011C22×C7—22no—
1012C22×C7—22no—
1013C22×C7—22no—
1014C22×C7—22no—
1015C22×C7—41no—
1016C22×C7—41no—
1017C22×C7—41no—
1018C22×C7—41no—
1019C22×C7—41no—
1020C22×C7—41no—
1021C22×C7—41no—
1022C22×C7#52914yes—
1023C22×C7C22×#4111yescharacteristic
1024C22×C7C22×#4111yescharacteristic
1025C22×C7C22×#4111yescharacteristic
1026C22×C7C22×#4111yescharacteristic
1027C22×C7C22×#4111yescharacteristic
1028C22×C7C22×#4111yescharacteristic
1029C22×C7C22×#4111yescharacteristic
1030C2×D7—41no—
1031C2×D7—41no—
1032C2×D7—41no—
1033C2×D7—41no—
1034C2×D7—41no—
1035C2×D7—41no—
1036C2×D7—41no—
1037C4×C7—22no—
1038C4×C7—22no—
1039C4×C7—22no—
1040C4×C7—22no—
1041C4×C7—22no—
1042C4×C7—22no—
1043C4×C7—41no—
1044C4×C7—41no—
1045C4×C7—41no—
1046C4×C7—41no—
1047C4×C7—41no—
1048C4×C7—41no—
1049C4×C7—41no—
1050Dic7—22no—
1051Dic7—22no—
1052Dic7—22no—
1053Dic7—22no—
1054Dic7—22no—
1055Dic7—22no—
1056Dic7—41no—
1057Dic7—41no—
1058Dic7—41no—
1059Dic7—41no—
1060Dic7—41no—
1061Dic7—41no—
1062Dic7—41no—
1063Dic7#52914yes—
1064Dic7#52914yes—
1065C24—71no—
1066C24C23×D711yescharacteristic
1067C24C23×D711yescharacteristic
1068C2×Q8—142no—
1069C2×Q8—142no—
1070C2×Q8—142no—
1071C2×D4—22no—
1072C2×D4—22no—
1073C2×D4—22no—
1074C2×D4—142no—
1075C2×D4—142no—
1076C2×D4—142no—
1077C2×D4—142no—
1078C2×D4—142no—
1079C2×D4—142no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—71no—
1089C22×C4—71no—
1090C22×C4—74no—
1091C22×C4—74no—
1092C22×C4—71no—
1093C22×C4—71no—
1094C22×C4—71no—
1095C22×C4—71no—
1096C22×C4—71no—
1097C22×C4—71no—
1098C22×C4—71no—
1099C22×C4—71no—
1100C22×C4—71no—
1101C22×C4—71no—
1102C22×C4—71no—
1103C22×C4—71no—
1104C22×C4—71no—
1105C22×C4—142no—
1106C22×C4—142no—
1107C22×C4—142no—
1108C22×C4—142no—
1109C22×C4—142no—
1110C22×C4—142no—
1111C22×C4—142no—
1112C22×C4—142no—
1113C22×C4—142no—
1114C22×C4—142no—
1115C22×C4—142no—
1116C22×C4—142no—
1117C22×C4—142no—
1118C22×C4—142no—
1119C22×C4—142no—
1120C22×C4—142no—
1121C22×C4#115914yes—
1122C22×C4C23×D711yescharacteristic
1123C22×C4C23×D711yescharacteristic
1124C22×C4C23×D711yescharacteristic
1125C22×C4C23×D711yescharacteristic
1126C22×C4C23×D711yescharacteristic
1127C22×C4C23×D711yescharacteristic
1128C22×C4C23×D711yescharacteristic
1129C22×C4C23×D711yescharacteristic
1130C22×C4C23×D711yescharacteristic
1131C22×C4C23×D711yescharacteristic
1132C22×C4C23×D711yescharacteristic
1133C22×C4C23×D711yescharacteristic
1134C22×C4C23×D711yescharacteristic
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—142no—
1142C4⋊C4—142no—
1143C4⋊C4—142no—
1144C4⋊C4—142no—
1145C4⋊C4—142no—
1146C4⋊C4—142no—
1147C4⋊C4—142no—
1148C4⋊C4—142no—
1149C4⋊C4—142no—
1150C4⋊C4—142no—
1151C4⋊C4—142no—
1152C4⋊C4—142no—
1153C4⋊C4—142no—
1154C4⋊C4—142no—
1155C4⋊C4—142no—
1156C4⋊C4—142no—
1157C4⋊C4—142no—
1158C4⋊C4—142no—
1159C4⋊C4—142no—
1160C4⋊C4—142no—
1161C4⋊C4—142no—
1162C4⋊C4—142no—
1163C4⋊C4—142no—
1164C4⋊C4—142no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—22no—
1168C22⋊C4—22no—
1169C22⋊C4—22no—
1170C22⋊C4—22no—
1171C22⋊C4—22no—
1172C22⋊C4—22no—
1173C22⋊C4—22no—
1174C22⋊C4—142no—
1175C22⋊C4—142no—
1176C22⋊C4—142no—
1177C22⋊C4—142no—
1178C22⋊C4—142no—
1179C22⋊C4—142no—
1180C22⋊C4—142no—
1181C22⋊C4—142no—
1182C22⋊C4—142no—
1183C22⋊C4—142no—
1184C22⋊C4—142no—
1185C22⋊C4—142no—
1186C22⋊C4—142no—
1187C22⋊C4—142no—
1188C22⋊C4—142no—
1189C22⋊C4—142no—
1190C22⋊C4—142no—
1191C22⋊C4—142no—
1192C22⋊C4—142no—
1193C22⋊C4—142no—
1194C22⋊C4—142no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—74no—
1200C42—74no—
1201C42—74no—
1202C42—74no—
1203C42—142no—
1204C42—142no—
1205C42—142no—
1206C42—142no—
1207C42—142no—
1208C42—142no—
1209C42—142no—
1210C42—142no—
1211C42—142no—
1212C42—142no—
1213C42—142no—
1214C42—142no—
1215C42—142no—
1216C42—142no—
1217C42—142no—
1218C42—142no—
1219C42—142no—
1220C42—142no—
1221C42—142no—
1222C42—142no—
1223C42—142no—
1224C42—142no—
1225C42—142no—
1226C42—142no—
1227C42—142no—
1228C42—142no—
1229C2×C7—24no—
1230C2×C7—81no—
1231C2×C7C2×#52911yescharacteristic
1232C2×C7C2×#52911yescharacteristic
1233C2×C7C2×#52911yescharacteristic
1234C2×C7#344411yescharacteristic
1235C2×C7#344411yescharacteristic
1236C2×C7#344411yescharacteristic
1237C2×C7#344411yescharacteristic
1238D7—81no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—141no—
1251C23—141no—
1252C23—141no—
1253C23—141no—
1254C23—141no—
1255C23—141no—
1256C23—141no—
1257C23C2×#115912yes—
1258C23D7×#4112yes—
1259C23D7×#4112yes—
1260C23C24×D711yescharacteristic
1261Q8—284no—
1262D4—44no—
1263D4—284no—
1264D4—284no—
1265C2×C4—28no—
1266C2×C4—28no—
1267C2×C4—28no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—72no—
1302C2×C4—72no—
1303C2×C4—72no—
1304C2×C4—72no—
1305C2×C4—72no—
1306C2×C4—72no—
1307C2×C4—72no—
1308C2×C4—72no—
1309C2×C4—72no—
1310C2×C4—72no—
1311C2×C4—72no—
1312C2×C4—72no—
1313C2×C4—148no—
1314C2×C4—148no—
1315C2×C4—148no—
1316C2×C4—148no—
1317C2×C4—141no—
1318C2×C4—141no—
1319C2×C4—141no—
1320C2×C4—141no—
1321C2×C4—141no—
1322C2×C4—141no—
1323C2×C4—141no—
1324C2×C4—141no—
1325C2×C4—141no—
1326C2×C4—141no—
1327C2×C4—141no—
1328C2×C4—141no—
1329C2×C4—141no—
1330C2×C4—141no—
1331C2×C4—141no—
1332C2×C4—141no—
1333C2×C4—141no—
1334C2×C4—141no—
1335C2×C4—141no—
1336C2×C4—141no—
1337C2×C4—141no—
1338C2×C4—141no—
1339C2×C4—141no—
1340C2×C4—141no—
1341C2×C4—141no—
1342C2×C4—141no—
1343C2×C4—141no—
1344C2×C4—141no—
1345C2×C4—141no—
1346C2×C4—141no—
1347C2×C4—141no—
1348C2×C4—141no—
1349C2×C4—141no—
1350C2×C4—284no—
1351C2×C4—284no—
1352C2×C4C2×#115912yes—
1353C2×C4C2×#115912yes—
1354C2×C4D7×#4112yes—
1355C2×C4D7×#4112yes—
1356C2×C4D7×#4112yes—
1357C2×C4D7×#4112yes—
1358C7#3663811yescharacteristic, complemented, Sylow
1359C22—22no—
1360C22—22no—
1361C22—22no—
1362C22—22no—
1363C22—22no—
1364C22—22no—
1365C22—41no—
1366C22—41no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—281no—
1373C22—281no—
1374C22—281no—
1375C22—281no—
1376C22—281no—
1377C22—281no—
1378C22—281no—
1379C22#9034014yes—
1380C22C22×#115911yescharacteristic
1381C22C2×D7×#4111yescharacteristic
1382C22C2×D7×#4111yescharacteristic
1383C22C2×D7×#4111yescharacteristic
1384C22C2×D7×#4111yescharacteristic
1385C22C2×D7×#4111yescharacteristic
1386C22C2×D7×#4111yescharacteristic
1387C4—22no—
1388C4—22no—
1389C4—22no—
1390C4—22no—
1391C4—22no—
1392C4—22no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—74no—
1401C4—74no—
1402C4—142no—
1403C4—142no—
1404C4—142no—
1405C4—142no—
1406C4—142no—
1407C4—142no—
1408C4—281no—
1409C4—281no—
1410C4—281no—
1411C4—281no—
1412C4—281no—
1413C4—281no—
1414C4—281no—
1415C2—24no—
1416C2—81no—
1417C2—561no—
1418C2C2×#9034011yescharacteristic
1419C2#1174308611yescharacteristic
1420C2#1174308611yescharacteristic
1421C2#1174318711yescharacteristic
1422C2#1174318711yescharacteristic
1423C2D7×#52911yescharacteristic
1424C2D7×#52911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2853C2
prime radicalC2×#6502C22
hypercenter#2853D7
hypocenterC7#36638
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2853

Complements

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

NH ≅ G/Ntype
1. C7×#2853C2semidirect
3. Dic7×#123C2semidirect
4. #11739524C2semidirect
5. C2×C42×Dic7C2semidirect
6. #11733268C2semidirect
7. #11733267C2semidirect
8. #11733266C2semidirect
9. #11733265C2semidirect
10. #11732900C2semidirect
11. #11732899C2semidirect
12. #11732896C2semidirect
13. #11732895C2semidirect
14. #11732739C2semidirect
15. #11732738C2semidirect
16. #11732737C2semidirect
17. #11732736C2semidirect
18. #11732388C2semidirect
19. #11732387C2semidirect
20. #11732384C2semidirect
21. #11732383C2semidirect
22. #11732315C2semidirect
25. #11732102C2semidirect
26. #11732032C2semidirect
27. #11732031C2semidirect
28. #11731826C2semidirect
29. #11731822C2semidirect
30. #11731562C2semidirect
31. #11731497C2semidirect
375. #2853D7semidirect
1358. C7#36638semidirect

Maximal subgroups

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

subgroupindex
C7×#28532
#117403362
Dic7×#1232
#117395242
C2×C42×Dic72
#117332682
#117332672
#117332662
#117332652
#117329002
#117328992
#117328962
#117328952
#117327392
#117327382
#117327372
#117327362
#117323882
#117323872
#117323842
#117323832
#117323152
#117323142
#117321052
#117321022
#117320322
#117320312
#117318262
#117318222
#117315622
#117314972
#366387