Finite Group Databasebeta

← #13522082

Subgroups — #13522082

Order 1792.

2548 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90397C211yesmaximal, characteristic, complemented
2C22×#6450C211yesmaximal, characteristic, complemented
3C7×#2481C211yesmaximal, characteristic, complemented
4#11740523C211yesmaximal, characteristic, complemented
5#11739640C211yesmaximal, characteristic, complemented
6#11735582C211yesmaximal, characteristic, complemented
7#11735579C211yesmaximal, characteristic, complemented
8#11735576C211yesmaximal, characteristic, complemented
9#11735575C211yesmaximal, characteristic, complemented
10#11734914C211yesmaximal, characteristic, complemented
11#11734905C211yesmaximal, characteristic, complemented
12#11734731C211yesmaximal, characteristic, complemented
13#11734727C211yesmaximal, characteristic, complemented
14#11733299C211yesmaximal, characteristic, complemented
15#11732899C211yesmaximal, characteristic, complemented
16#11732770C211yesmaximal, characteristic, complemented
17#11732449C211yesmaximal, characteristic, complemented
18#11732386C211yesmaximal, characteristic, complemented
19#11732383C211yesmaximal, characteristic, complemented
20#11732147C211yesmaximal, characteristic, complemented
21#11732146C211yesmaximal, characteristic, complemented
22#11732137C211yesmaximal, characteristic
23#11732105C211yesmaximal, characteristic, complemented
24#11732105C211yesmaximal, characteristic, complemented
25#11732102C211yesmaximal, characteristic, complemented
26#11731850C211yesmaximal, characteristic, complemented
27#11731822C211yesmaximal, characteristic, complemented
28#11731347C211yesmaximal, characteristic, complemented
29#11731310C211yesmaximal, characteristic, complemented
30#11730948C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C23×Dic14C2211yescharacteristic
33C2×C7×#126C2211yescharacteristic
34C22×C7×C4⋊C4C2211yescharacteristic
35C2×#6502C2211yescharacteristic
36C2×#6502C2211yescharacteristic
37C2×D4×Dic7C2211yescharacteristic
38C2×#6493C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C22×Dic7⋊C4C2211yescharacteristic
41C22×Dic7⋊C4C2211yescharacteristic
42C22×C4×Dic7C2211yescharacteristic
43C22×C4×Dic7C2211yescharacteristic
44C22×C4×Dic7C2211yescharacteristic
45#90397—28no—
46C2×#6459C2211yescharacteristic
47C2×#6459C2211yescharacteristic
48C2×#6457C2211yescharacteristic
49C2×#6456C2211yescharacteristic
50C2×#6455C2211yescharacteristic
51C2×#6452C2211yescharacteristic
52C2×#6450—28no—
53C2×#6450C2211yescharacteristic
54C2×#6450C2211yescharacteristic
55C2×#6450C2211yescharacteristic
56C2×#6450C2211yescharacteristic
57C2×#6450C2211yescharacteristic
58C2×#6450C2211yescharacteristic
59C2×#6450C2211yescharacteristic
60C2×#6450C2211yescharacteristic
61C2×#6448C2211yescharacteristic
62C2×#6448C2211yescharacteristic
63C2×#6447C2211yescharacteristic
64C2×#6446C2211yescharacteristic
65C2×(C22⋊D7)⋊C4C2211yescharacteristic
66C2×(C22⋊D7)⋊C4C2211yescharacteristic
67C2×(C22⋊D7)⋊C4C2211yescharacteristic
68C2×(C22⋊D7)⋊C4C2211yescharacteristic
69C2×(C22⋊D7)⋊C4C2211yescharacteristic
70C2×#6440C2211yescharacteristic
71C2×#6439C2211yescharacteristic
72C2×C42×D7C2211yescharacteristic
73C7×#400C2211yescharacteristic
74C7×#400C2211yescharacteristic
75C7×#397C2211yescharacteristic
76C7×#396C2211yescharacteristic
77C7×#388C2211yescharacteristic
78C7×#387C2211yescharacteristic
79C7×#387C2211yescharacteristic
80C7×#386C2211yescharacteristic
81C7×#386C2211yescharacteristic
82C7×#386C2211yescharacteristic
83C7×#385C2211yescharacteristic
84C7×#380C2211yescharacteristic
85C4×C7×C22⋊C4C2211yescharacteristic
86#89992C2211yescharacteristic
87#89985C2211yescharacteristic
88#89985C2211yescharacteristic
89#89985C2211yescharacteristic
90#89982C2211yescharacteristic
91#89765C2211yescharacteristic
92#89764C2211yescharacteristic
93#89763C2211yescharacteristic
94#89762C2211yescharacteristic
95#89762C2211yescharacteristic
96#89761C2211yescharacteristic
97#89760C2211yescharacteristic
98#89756C2211yescharacteristic
99#89755C2211yescharacteristic
100#89754C2211yescharacteristic
101#89753C2211yescharacteristic
102#89751C2211yescharacteristic
103#89751C2211yescharacteristic
104#89750C2211yescharacteristic
105C4⋊C4×Dic7C2211yescharacteristic
106C4⋊C4×Dic7C2211yescharacteristic
107#89745C2211yescharacteristic
108#89744C2211yescharacteristic
109#89731C2211yescharacteristic
110#89731C2211yescharacteristic
111#89730C2211yescharacteristic
112#89730C2211yescharacteristic
113#89730C2211yescharacteristic
114#89729C2211yescharacteristic
115#89729C2211yescharacteristic
116#89729C2211yescharacteristic
117#89722C2211yescharacteristic
118#89721C2211yescharacteristic
119#89720C2211yescharacteristic
120#89719C2211yescharacteristic
121#89719C2211yescharacteristic
122#89718C2211yescharacteristic
123#89717C2211yescharacteristic
124#89717C2211yescharacteristic
125#89716C2211yescharacteristic
126#89716C2211yescharacteristic
127#89716C2211yescharacteristic
128#89714C2211yescharacteristic
129#89714C2211yescharacteristic
130C22⋊C4×Dic7C2211yescharacteristic
131C22⋊C4×Dic7C2211yescharacteristic
132C22⋊C4×Dic7C2211yescharacteristic
133C22⋊C4×Dic7C2211yescharacteristic
134C22⋊C4×Dic7C2211yescharacteristic
135#89712C2211yescharacteristic
136C4×(C2×D7)⋊C4C2211yescharacteristic
137#89705C2211yescharacteristic
138#89705C2211yescharacteristic
139C4×Dic7⋊C4C2211yescharacteristic
140C42×Dic7C2211yescharacteristic
141#89448C2211yescharacteristic
142#89448C2211yescharacteristic
143#89447C2211yescharacteristic
144#89447C2211yescharacteristic
145#89445C2211yescharacteristic
146#89445C2211yescharacteristic
147#89445C2211yescharacteristic
148#89445C2211yescharacteristic
149#89444C2211yescharacteristic
150#89442C2211yescharacteristic
151#89442C2211yescharacteristic
152#89442C2211yescharacteristic
153#89441C2211yescharacteristic
154#89441C2211yescharacteristic
155#89440C2211yescharacteristic
156#89439C2211yescharacteristic
157#89438C2211yescharacteristic
158#89438C2211yescharacteristic
159#89438C2211yescharacteristic
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89430C2211yescharacteristic
165#89430C2211yescharacteristic
166#89430C2211yescharacteristic
167#89429C2211yescharacteristic
168#89429C2211yescharacteristic
169#89427C2211yescharacteristic
170#89426C2211yescharacteristic
171#89425C2211yescharacteristic
172#89424C2211yescharacteristic
173#89422C2211yescharacteristic
174#89421C2211yescharacteristic
175#89421C2211yescharacteristic
176#89421C2211yescharacteristic
177#89421C2211yescharacteristic
178#89421C2211yescharacteristic
179#89420C2211yescharacteristic
180#89420C2211yescharacteristic
181#89419C2211yescharacteristic
182#89419C2211yescharacteristic
183#89419C2211yescharacteristic
184#89419C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#89418C2211yescharacteristic
188#89418C2211yescharacteristic
189#34708—71nomaximal, Sylow
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×Dic14—24no—
209C22×Dic14—24no—
210C22×Dic14—24no—
211C22×Dic14C2311yescharacteristic
212C22×Dic14C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C7×#126—24no—
216C2×C7×C4⋊C4—24no—
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243#6502—24no—
244#6502—24no—
245D4×Dic7—24no—
246#6493—24no—
247C4×C22⋊D7—24no—
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×C4⋊Dic7C2311yescharacteristic
269C2×C4⋊Dic7C2311yescharacteristic
270C2×C4⋊Dic7C2311yescharacteristic
271C2×C4⋊Dic7C2311yescharacteristic
272C2×Dic7⋊C4—24no—
273C2×Dic7⋊C4—24no—
274C2×Dic7⋊C4C2311yescharacteristic
275C2×Dic7⋊C4C2311yescharacteristic
276C2×Dic7⋊C4C2311yescharacteristic
277C2×Dic7⋊C4C2311yescharacteristic
278C2×Dic7⋊C4C2311yescharacteristic
279C2×Dic7⋊C4C2311yescharacteristic
280C2×Dic7⋊C4C2311yescharacteristic
281C2×Dic7⋊C4C2311yescharacteristic
282C2×Dic7⋊C4C2311yescharacteristic
283C2×Dic7⋊C4C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×C4×Dic7—24no—
297C2×C4×Dic7—24no—
298C2×C4×Dic7—24no—
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320#6459—24no—
321#6459—24no—
322#6457—24no—
323#6456—24no—
324#6455—24no—
325#6452—24no—
326#6450—24no—
327#6450—24no—
328#6450—24no—
329#6450—24no—
330#6450—24no—
331#6450—24no—
332#6450—24no—
333#6450D418yescomplemented
334#6448—24no—
335#6448—24no—
336#6447—24no—
337#6446—24no—
338(C22⋊D7)⋊C4—24no—
339(C22⋊D7)⋊C4—24no—
340(C22⋊D7)⋊C4—24no—
341(C22⋊D7)⋊C4—24no—
342(C22⋊D7)⋊C4—24no—
343#6440—24no—
344#6439—24no—
345C42×D7—24no—
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
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#529—71no—
387C22×C4×Q8—71no—
388#2481—71no—
389#2481D711yescharacteristic, complemented
390#2469—71no—
391#2469—71no—
392#2458—71no—
393#2458—71no—
394#2453—71no—
395#2448—71no—
396#2443—71no—
397#2443—71no—
398#2442—71no—
399#2436—71no—
400#2426—71no—
401#2421—71no—
402#2416—71no—
403#2409—71no—
404#2398—71no—
405#2398—71no—
406#2396—71no—
407#2396—71no—
408C4×#124—71no—
409C4×C22⋊Q8—71no—
410C4×#121—71no—
411C4×#121—71no—
412C4×#121—71no—
413#2295—71no—
414#2290—71no—
415#2290—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—22no—
428C22×C4×C7—22no—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7#4114yes—
458C22×Dic7—22no—
459C22×Dic7—22no—
460C22×Dic7—22no—
461C22×Dic7—22no—
462C22×Dic7—22no—
463C22×Dic7—22no—
464C22×Dic7—22no—
465C22×Dic7—22no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—41no—
471C22×Dic7#4114yes—
472C22×Dic7#4114yes—
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C2×D28—22no—
488C2×D28—22no—
489C2×D28—41no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—41no—
502C2×Dic14—232no—
503C2×Dic14—22no—
504C2×Dic14—22no—
505C2×Dic14—22no—
506C2×Dic14—22no—
507C2×Dic14—22no—
508C2×Dic14—22no—
509C2×Dic14—22no—
510C2×Dic14—22no—
511C2×Dic14—22no—
512C2×Dic14—22no—
513C2×Dic14C2×D414yes—
514C2×Dic14#4114yes—
515C7×C4⋊C4—22no—
516C7×C4⋊C4—22no—
517C7×C4⋊C4—22no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4C2×D414yes—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C42×C7—22no—
533C42×C7—41no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541(C2×D7)⋊C4—22no—
542(C2×D7)⋊C4—22no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561C4⋊Dic7—22no—
562C4⋊Dic7—22no—
563C4⋊Dic7—22no—
564C4⋊Dic7—41no—
565Dic7⋊C4—22no—
566Dic7⋊C4—22no—
567Dic7⋊C4—22no—
568Dic7⋊C4—22no—
569Dic7⋊C4—22no—
570Dic7⋊C4—22no—
571Dic7⋊C4—22no—
572Dic7⋊C4—22no—
573Dic7⋊C4—22no—
574Dic7⋊C4—22no—
575Dic7⋊C4—22no—
576Dic7⋊C4—22no—
577Dic7⋊C4—22no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4C2×D414yes—
586Dic7⋊C4C2×D414yes—
587C4×Dic7—22no—
588C4×Dic7—22no—
589C4×Dic7—22no—
590C4×Dic7—22no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—22no—
598C4×Dic7—22no—
599C4×Dic7—22no—
600C4×Dic7—22no—
601C4×Dic7—22no—
602C4×Dic7—22no—
603C4×Dic7—22no—
604C4×Dic7—22no—
605C4×Dic7C2×D414yes—
606C4×Dic7C2×D414yes—
607C4×Dic7C2×D414yes—
608C23×Q8—71no—
609#529—148no—
610C2×#126—71no—
611C2×#126C2×D711yescharacteristic
612C2×#125—71no—
613C2×#124—71no—
614C2×#124—71no—
615C2×#123—71no—
616C2×#123—71no—
617C2×C22⋊Q8—71no—
618C2×C22⋊Q8—71no—
619C2×#121—71no—
620C2×#121—71no—
621C2×#121—71no—
622C2×#121—71no—
623C2×C4×Q8—71no—
624C2×C4×Q8—71no—
625C2×C4×Q8—71no—
626C2×C4×Q8—71no—
627C2×C4×Q8—71no—
628C2×C4×Q8—71no—
629C2×C4×Q8—71no—
630C2×C4×Q8—71no—
631C2×C4×Q8—148no—
632C2×C4×D4—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×C4×D4—71no—
636C2×C4×D4—71no—
637C2×C4×D4—71no—
638C2×C4×D4—71no—
639C2×C4×D4—71no—
640C2×#117—71no—
641C2×#117—71no—
642C22×C4⋊C4—71no—
643C22×C4⋊C4—71no—
644C22×C4⋊C4C2×D711yescharacteristic
645C22×C42—71no—
646C22×C42—71no—
647C22×C42—71no—
648C22×C42—71no—
649#400—71no—
650#400—71no—
651#400—71no—
652#400—71no—
653#400C2×D711yescharacteristic
654#400C2×D711yescharacteristic
655#399—71no—
656#399—71no—
657#398—71no—
658#398—71no—
659#398—71no—
660#398—71no—
661#397—71no—
662#397—71no—
663#397—71no—
664#397C2×D711yescharacteristic
665#396—71no—
666#396—71no—
667#396—71no—
668#396C2×D711yescharacteristic
669#395—71no—
670#395—71no—
671#394—71no—
672#394—71no—
673#394—71no—
674#394—71no—
675#393—71no—
676#393—71no—
677#393—71no—
678#393—71no—
679#393—71no—
680#393—71no—
681#391—71no—
682#391—71no—
683#391—71no—
684#391—71no—
685#390—71no—
686#390—71no—
687#390—71no—
688#390—71no—
689#389—71no—
690#389—71no—
691#389—71no—
692#389—71no—
693#389—71no—
694#389—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388C2×D711yescharacteristic
709#387—71no—
710#387—71no—
711#387—71no—
712#387—71no—
713#387—71no—
714#387—71no—
715#387—71no—
716#387—71no—
717#387C2×D711yescharacteristic
718#387C2×D711yescharacteristic
719#386—71no—
720#386—71no—
721#386—71no—
722#386—71no—
723#386—71no—
724#386—71no—
725#386—71no—
726#386C2×D711yescharacteristic
727#386C2×D711yescharacteristic
728#386C2×D711yescharacteristic
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385—71no—
734#385C2×D711yescharacteristic
735#382—71no—
736#380—71no—
737#380—71no—
738#380—71no—
739#380C2×D711yescharacteristic
740C4×C4⋊C4—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊C4—71no—
747C4×C4⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758C4×C22⋊C4—71no—
759C4×C22⋊C4—71no—
760C4×C22⋊C4—71no—
761C4×C22⋊C4C2×D711yescharacteristic
762#376—71no—
763#376—71no—
764C43—71no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7C2×#4112yes—
777C23×C7C2×#4112yes—
778C23×C7C2×#4112yes—
779C23×C7C2511yescharacteristic
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7C2×#4112yes—
794C7×D4—44no—
795C2×C4×C7—28no—
796C2×C4×C7—21no—
797C2×C4×C7—21no—
798C2×C4×C7—21no—
799C2×C4×C7—21no—
800C2×C4×C7—21no—
801C2×C4×C7—21no—
802C2×C4×C7—21no—
803C2×C4×C7—21no—
804C2×C4×C7—21no—
805C2×C4×C7—21no—
806C2×C4×C7—21no—
807C2×C4×C7—21no—
808C2×C4×C7—21no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—44no—
832C2×C4×C7—44no—
833C2×C4×C7C22×D412yes—
834C2×C4×C7C22×D412yes—
835C2×C4×C7C22×D412yes—
836C2×C4×C7C2×#4112yes—
837C22⋊D7—28no—
838C22⋊D7—44no—
839C22⋊D7—44no—
840C22⋊D7—44no—
841C2×Dic7—28no—
842C2×Dic7—21no—
843C2×Dic7—21no—
844C2×Dic7—21no—
845C2×Dic7—21no—
846C2×Dic7—21no—
847C2×Dic7—21no—
848C2×Dic7—21no—
849C2×Dic7—21no—
850C2×Dic7—21no—
851C2×Dic7—21no—
852C2×Dic7—21no—
853C2×Dic7—21no—
854C2×Dic7—28no—
855C2×Dic7—28no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—44no—
875C2×Dic7—44no—
876C2×Dic7C22×D412yes—
877C2×Dic7C22×D412yes—
878C2×Dic7C22×D412yes—
879C2×Dic7C22×D412yes—
880C2×Dic7C2×#4112yes—
881C2×Dic7C2×#4112yes—
882C2×Dic7C2×#4112yes—
883C2×Dic7C2×#4112yes—
884C2×Dic7C2×#4112yes—
885C2×Dic7C2×#4112yes—
886C2×Dic7C2×#4112yes—
887C2×Dic72−1+412yes—
888D28—44no—
889C4×D7—44no—
890C4×D7—44no—
891C4×D7—44no—
892C4×D7—44no—
893Dic14—28no—
894Dic14—28no—
895Dic14—28no—
896Dic14—28no—
897C22×Q8—71no—
898C22×Q8—71no—
899C22×Q8—71no—
900C22×Q8—71no—
901C22×Q8—144no—
902C22×Q8—144no—
903C22×Q8—144no—
904C22×D4—71no—
905C22×D4—71no—
906C22×D4—71no—
907C22×D4—71no—
908C22×D4—71no—
909C22×D4C22×D711yescharacteristic
910C23×C4—71no—
911C23×C4—71no—
912C23×C4—71no—
913C23×C4—71no—
914C23×C4—71no—
915C23×C4—71no—
916C23×C4—71no—
917C23×C4—71no—
918C23×C4—71no—
919C23×C4C22×D711yescharacteristic
920C23×C4C22×D711yescharacteristic
921C23×C4C22×D711yescharacteristic
922#126—24no—
923#126—144no—
924#125—144no—
925#124—144no—
926#124—144no—
927#123—144no—
928#123—144no—
929C22⋊Q8—144no—
930C22⋊Q8—144no—
931#121—144no—
932#121—144no—
933#121—144no—
934#121—144no—
935C4×Q8—78no—
936C4×Q8—144no—
937C4×Q8—144no—
938C4×Q8—144no—
939C4×Q8—144no—
940C4×Q8—144no—
941C4×Q8—144no—
942C4×Q8—144no—
943C4×D4—144no—
944C4×D4—144no—
945C4×D4—144no—
946C4×D4—144no—
947C4×D4—144no—
948C4×D4—144no—
949C4×D4—144no—
950C4×D4—144no—
951#117—144no—
952#117—144no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—71no—
955C2×C4⋊C4—71no—
956C2×C4⋊C4—71no—
957C2×C4⋊C4—71no—
958C2×C4⋊C4—71no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—144no—
981C2×C4⋊C4—144no—
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C4⋊C4C22×D711yescharacteristic
987C2×C4⋊C4C22×D711yescharacteristic
988C2×C4⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4C22×D711yescharacteristic
1018C2×C22⋊C4C22×D711yescharacteristic
1019C2×C22⋊C4C22×D711yescharacteristic
1020C2×C22⋊C4C22×D711yescharacteristic
1021C2×C22⋊C4C22×D711yescharacteristic
1022C2×C22⋊C4C22×D711yescharacteristic
1023C2×C22⋊C4C22×D711yescharacteristic
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C42—71no—
1027C2×C42—71no—
1028C2×C42—71no—
1029C2×C42—71no—
1030C2×C42—71no—
1031C2×C42—71no—
1032C2×C42—71no—
1033C2×C42—71no—
1034C2×C42—71no—
1035C2×C42—71no—
1036C2×C42—71no—
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—144no—
1048C2×C42—144no—
1049C2×C42—144no—
1050C2×C42—144no—
1051C2×C42C22×D711yescharacteristic
1052C2×C42C22×D711yescharacteristic
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093C22×C7—22no—
1094C22×C7—22no—
1095C22×C7—22no—
1096C22×C7—22no—
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—41no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7#52914yescomplemented
1107C22×C7C23×D411yescharacteristic
1108C22×C7C22×#4111yescharacteristic
1109C22×C7C22×#4111yescharacteristic
1110C22×C7C22×#4111yescharacteristic
1111C22×C7C22×#4111yescharacteristic
1112C22×C7C2×2−1+411yescharacteristic
1113C22×C7#58511yescharacteristic
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—41no—
1118C2×D7—41no—
1119C2×D7—41no—
1120C2×D7—41no—
1121C2×D7—41no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—41no—
1128C4×C7—22no—
1129C4×C7—22no—
1130C4×C7—22no—
1131C4×C7—22no—
1132C4×C7—41no—
1133C4×C7—41no—
1134C4×C7—41no—
1135C4×C7—41no—
1136C4×C7—41no—
1137C4×C7—41no—
1138C4×C7—41no—
1139C4×C7—41no—
1140C4×C7—41no—
1141Dic7—22no—
1142Dic7—22no—
1143Dic7—22no—
1144Dic7—22no—
1145Dic7—22no—
1146Dic7—22no—
1147Dic7—41no—
1148Dic7—41no—
1149Dic7—41no—
1150Dic7—41no—
1151Dic7—41no—
1152Dic7—41no—
1153Dic7#52514yes—
1154Dic7#54814yes—
1155C24—71no—
1156C24—71no—
1157C24C23×D711yescharacteristic
1158C24C23×D711yescharacteristic
1159C2×Q8—74no—
1160C2×Q8—74no—
1161C2×Q8—142no—
1162C2×Q8—142no—
1163C2×Q8—142no—
1164C2×Q8—142no—
1165C2×Q8—142no—
1166C2×Q8—142no—
1167C2×Q8—142no—
1168C2×Q8—142no—
1169C2×Q8—1432no—
1170C2×Q8—142no—
1171C2×Q8—142no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—74no—
1176C2×D4—142no—
1177C2×D4—142no—
1178C2×D4—142no—
1179C2×D4—142no—
1180C2×D4—142no—
1181C2×D4—142no—
1182C2×D4—142no—
1183C2×D4—142no—
1184C2×D4—142no—
1185C2×D4—142no—
1186C2×D4—142no—
1187C2×D4—142no—
1188C2×D4—281no—
1189C2×D4—281no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—71no—
1200C22×C4—71no—
1201C22×C4—74no—
1202C22×C4—74no—
1203C22×C4—71no—
1204C22×C4—71no—
1205C22×C4—71no—
1206C22×C4—71no—
1207C22×C4—71no—
1208C22×C4—71no—
1209C22×C4—71no—
1210C22×C4—71no—
1211C22×C4—71no—
1212C22×C4—71no—
1213C22×C4—71no—
1214C22×C4—71no—
1215C22×C4—142no—
1216C22×C4—142no—
1217C22×C4—142no—
1218C22×C4—142no—
1219C22×C4—142no—
1220C22×C4—142no—
1221C22×C4—142no—
1222C22×C4—142no—
1223C22×C4—142no—
1224C22×C4—142no—
1225C22×C4—142no—
1226C22×C4—142no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—281no—
1239C22×C4—281no—
1240C22×C4C23×D711yescharacteristic
1241C22×C4C23×D711yescharacteristic
1242C22×C4C23×D711yescharacteristic
1243C22×C4C23×D711yescharacteristic
1244C22×C4C23×D711yescharacteristic
1245C22×C4C23×D711yescharacteristic
1246C22×C4C23×D711yescharacteristic
1247C22×C4C23×D711yescharacteristic
1248C22×C4C23×D711yescharacteristic
1249C22×C4C23×D711yescharacteristic
1250C22×C4C23×D711yescharacteristic
1251C22×C4C23×D711yescharacteristic
1252C22×C4C23×D711yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—74no—
1261C4⋊C4—74no—
1262C4⋊C4—142no—
1263C4⋊C4—142no—
1264C4⋊C4—142no—
1265C4⋊C4—142no—
1266C4⋊C4—142no—
1267C4⋊C4—142no—
1268C4⋊C4—142no—
1269C4⋊C4—142no—
1270C4⋊C4—142no—
1271C4⋊C4—142no—
1272C4⋊C4—142no—
1273C4⋊C4—142no—
1274C4⋊C4—142no—
1275C4⋊C4—142no—
1276C4⋊C4—142no—
1277C4⋊C4—142no—
1278C4⋊C4—142no—
1279C4⋊C4—142no—
1280C4⋊C4—142no—
1281C4⋊C4—142no—
1282C4⋊C4—142no—
1283C4⋊C4—281no—
1284C4⋊C4—281no—
1285C4⋊C4—281no—
1286C4⋊C4D4×D714yes—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—142no—
1297C22⋊C4—142no—
1298C22⋊C4—142no—
1299C22⋊C4—142no—
1300C22⋊C4—142no—
1301C22⋊C4—142no—
1302C22⋊C4—142no—
1303C22⋊C4—142no—
1304C22⋊C4—142no—
1305C22⋊C4—142no—
1306C22⋊C4—142no—
1307C22⋊C4—142no—
1308C22⋊C4—142no—
1309C22⋊C4—142no—
1310C22⋊C4—142no—
1311C22⋊C4—142no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—281no—
1322C22⋊C4—281no—
1323C42—22no—
1324C42—41no—
1325C42—74no—
1326C42—74no—
1327C42—74no—
1328C42—142no—
1329C42—142no—
1330C42—142no—
1331C42—142no—
1332C42—142no—
1333C42—142no—
1334C42—142no—
1335C42—142no—
1336C42—142no—
1337C42—142no—
1338C42—142no—
1339C42—142no—
1340C42—142no—
1341C42—142no—
1342C42—142no—
1343C42—142no—
1344C42—142no—
1345C42—142no—
1346C2×C7—24no—
1347C2×C7—81no—
1348C2×C7C2×#52511yescharacteristic
1349C2×C7C2×#52911yescharacteristic
1350C2×C7#346111yescharacteristic
1351C2×C7C2×#54811yescharacteristic
1352C2×C7D4×#4111yescharacteristic
1353C2×C7#348011yescharacteristic
1354C2×C7#348211yescharacteristic
1355D7—42no—
1356D7—81no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—72no—
1369C23—141no—
1370C23—141no—
1371C23—141no—
1372C23—141no—
1373C23—141no—
1374C23—141no—
1375C23—141no—
1376C23—141no—
1377C23—141no—
1378C23—141no—
1379C23—141no—
1380C23—141no—
1381C23—141no—
1382C23D7×#4112yes—
1383C23D7×#4112yes—
1384C23D7×#4112yes—
1385C23C24×D711yescharacteristic
1386Q8—148no—
1387Q8—148no—
1388Q8—148no—
1389Q8—148no—
1390D4—44no—
1391D4—148no—
1392D4—284no—
1393D4—284no—
1394D4—284no—
1395D4—284no—
1396C2×C4—28no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—44no—
1433C2×C4—44no—
1434C2×C4—72no—
1435C2×C4—72no—
1436C2×C4—72no—
1437C2×C4—72no—
1438C2×C4—72no—
1439C2×C4—72no—
1440C2×C4—72no—
1441C2×C4—72no—
1442C2×C4—72no—
1443C2×C4—72no—
1444C2×C4—72no—
1445C2×C4—72no—
1446C2×C4—148no—
1447C2×C4—148no—
1448C2×C4—148no—
1449C2×C4—141no—
1450C2×C4—141no—
1451C2×C4—141no—
1452C2×C4—141no—
1453C2×C4—141no—
1454C2×C4—141no—
1455C2×C4—141no—
1456C2×C4—141no—
1457C2×C4—141no—
1458C2×C4—141no—
1459C2×C4—141no—
1460C2×C4—141no—
1461C2×C4—141no—
1462C2×C4—141no—
1463C2×C4—141no—
1464C2×C4—141no—
1465C2×C4—141no—
1466C2×C4—141no—
1467C2×C4—141no—
1468C2×C4—141no—
1469C2×C4—141no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—284no—
1480C2×C4—284no—
1481C2×C4—284no—
1482C2×C4—284no—
1483C2×C4—284no—
1484C2×C4—284no—
1485C2×C4C2×D4×D712yes—
1486C2×C4C2×D4×D712yes—
1487C2×C4C2×D4×D712yes—
1488C2×C4D7×#4112yes—
1489C7#3470811yescharacteristic, complemented, Sylow
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—142no—
1504C22—142no—
1505C22—142no—
1506C22—281no—
1507C22—281no—
1508C22—281no—
1509C22—281no—
1510C22—281no—
1511C22—281no—
1512C22—281no—
1513C22—281no—
1514C22—281no—
1515C22—281no—
1516C22—281no—
1517C22#9039714yescomplemented
1518C22C22×D4×D711yescharacteristic
1519C22C2×D7×#4111yescharacteristic
1520C22C2×D7×#4111yescharacteristic
1521C22C2×D7×#4111yescharacteristic
1522C22C2×D7×#4111yescharacteristic
1523C22#9061811yescharacteristic
1524C22D7×2−1+411yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—74no—
1539C4—74no—
1540C4—142no—
1541C4—142no—
1542C4—142no—
1543C4—142no—
1544C4—142no—
1545C4—142no—
1546C4—281no—
1547C4—281no—
1548C4—281no—
1549C4—281no—
1550C4—281no—
1551C4—281no—
1552C2—24no—
1553C2—81no—
1554C2—282no—
1555C2—561no—
1556C2D7×#52511yescharacteristic
1557C2C2×#9039711yescharacteristic
1558C2#1174349711yescharacteristic
1559C2#1174369411yescharacteristic
1560C2D7×#54811yescharacteristic
1561C2#1174389611yescharacteristic
1562C2#1174394311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2481C2
prime radical#11732137C2
hypercenter#2481D7
hypocenterC7#34708
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2481

Complements

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

NH ≅ G/Ntype
1. C2×#90397C2semidirect
2. C22×#6450C2semidirect
3. C7×#2481C2semidirect
4. #11740523C2semidirect
5. #11739640C2semidirect
6. #11735582C2semidirect
7. #11735579C2semidirect
8. #11735576C2semidirect
9. #11735575C2semidirect
10. #11734914C2semidirect
11. #11734905C2semidirect
12. #11734731C2semidirect
13. #11734727C2semidirect
14. #11733299C2semidirect
15. #11732899C2semidirect
16. #11732770C2semidirect
17. #11732449C2semidirect
18. #11732386C2semidirect
19. #11732383C2semidirect
20. #11732147C2semidirect
21. #11732146C2semidirect
23. #11732105C2semidirect
24. #11732105C2semidirect
25. #11732102C2semidirect
26. #11731850C2semidirect
27. #11731822C2semidirect
28. #11731347C2semidirect
29. #11731310C2semidirect
30. #11730948C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
333. #6450D4semidirect
389. #2481D7semidirect
1106. C22×C7#529semidirect
1489. C7#34708semidirect
1517. C22#90397semidirect

Maximal subgroups

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

subgroupindex
C2×#903972
C22×#64502
C7×#24812
#117405232
#117396402
#117355822
#117355792
#117355762
#117355752
#117349142
#117349052
#117347312
#117347272
#117332992
#117328992
#117327702
#117324492
#117323862
#117323832
#117321472
#117321462
#117321372
#117321052
#117321022
#117318502
#117318222
#117313472
#117313102
#117309482
C4×(C22⋊D7)⋊C42
#347087