Finite Group Databasebeta

← #13526797

Subgroups — #13526797

Order 1792.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90356C211yesmaximal, characteristic, complemented
2C2×#90284C211yesmaximal, characteristic, complemented
3C7×#2539C211yesmaximal, characteristic, complemented
4#11740302C211yesmaximal, characteristic, complemented
5#11740291C211yesmaximal, characteristic, complemented
6#11740281C211yesmaximal, characteristic, complemented
7#11740116C211yesmaximal, characteristic, complemented
8Dic7×#121C211yesmaximal, characteristic, complemented
9#11740034C211yesmaximal, characteristic, complemented
10#11740031C211yesmaximal, characteristic, complemented
11#11740023C211yesmaximal, characteristic, complemented
12#11739574C211yesmaximal, characteristic, complemented
13C2×#89723C211yesmaximal, characteristic, complemented
14#11735504C211yesmaximal, characteristic, complemented
15#11735503C211yesmaximal, characteristic, complemented
16#11735479C211yesmaximal, characteristic, complemented
17#11735478C211yesmaximal, characteristic, complemented
18#11734154C211yesmaximal, characteristic, complemented
19#11734153C211yesmaximal, characteristic, complemented
20#11734128C211yesmaximal, characteristic, complemented
21#11734125C211yesmaximal, characteristic, complemented
22#11733920C211yesmaximal, characteristic, complemented
23#11733919C211yesmaximal, characteristic, complemented
24#11733871C211yesmaximal, characteristic, complemented
25#11733870C211yesmaximal, characteristic, complemented
26#11733805C211yesmaximal, characteristic, complemented
27#11733804C211yesmaximal, characteristic, complemented
28#11733803C211yesmaximal, characteristic, complemented
29#11733802C211yesmaximal, characteristic, complemented
30#11730979C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic
35C2×C7×#120C2211yescharacteristic
36C2×C7×#120C2211yescharacteristic
37C22×C7×C22⋊C4C2211yescharacteristic
38C2×#6516C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C22×C22⋊Dic7C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×#6502C2211yescharacteristic
44C2×#6501C2211yescharacteristic
45C2×#6501C2211yescharacteristic
46C2×#6499C2211yescharacteristic
47C2×#6499C2211yescharacteristic
48C2×#6498C2211yescharacteristic
49C2×D4×Dic7C2211yescharacteristic
50C2×D4×Dic7C2211yescharacteristic
51C2×D4×Dic7C2211yescharacteristic, complemented
52C2×#6492C2211yescharacteristic
53C2×C4×C22⋊D7C2211yescharacteristic
54C22×C4⋊Dic7C2211yescharacteristic
55C22×C4×Dic7C2211yescharacteristic
56#90356—28no—
57#90284—28no—
58C2×#6461C2211yescharacteristic, complemented
59C2×#6460C2211yescharacteristic, complemented
60C2×#6453C2211yescharacteristic, complemented
61C2×#6452C2211yescharacteristic, complemented
62C2×#6449C2211yescharacteristic, complemented
63C2×#6448C2211yescharacteristic
64C2×#6446C2211yescharacteristic
65C2×#6446C2211yescharacteristic, complemented
66C2×(C22⋊D7)⋊C4C2211yescharacteristic
67C2×(C22⋊D7)⋊C4C2211yescharacteristic
68C2×#6442C2211yescharacteristic
69C2×#6442C2211yescharacteristic
70C2×#6442C2211yescharacteristic, complemented
71C2×#6441C2211yescharacteristic
72C2×#6441C2211yescharacteristic
73C2×#6441C2211yescharacteristic, complemented
74C2×C42×D7C2211yescharacteristic, complemented
75C7×#399C2211yescharacteristic
76C7×#399C2211yescharacteristic
77C7×#392C2211yescharacteristic
78C7×#392C2211yescharacteristic
79C7×#390C2211yescharacteristic
80C7×#390C2211yescharacteristic
81C7×#390C2211yescharacteristic
82C7×#390C2211yescharacteristic
83C4×C7×C22⋊C4C2211yescharacteristic
84#90019C2211yescharacteristic
85#89995C2211yescharacteristic
86#89995C2211yescharacteristic, complemented
87#89994C2211yescharacteristic
88#89994C2211yescharacteristic
89#89994C2211yescharacteristic
90#89994C2211yescharacteristic, complemented
91#89993C2211yescharacteristic
92#89993C2211yescharacteristic
93#89993C2211yescharacteristic
94#89993C2211yescharacteristic
95#89993C2211yescharacteristic, complemented
96#89992C2211yescharacteristic
97#89992C2211yescharacteristic
98#89992C2211yescharacteristic
99#89992C2211yescharacteristic
100#89992C2211yescharacteristic
101#89992C2211yescharacteristic
102#89984C2211yescharacteristic
103#89983C2211yescharacteristic
104C2×C7⋊#95C2211yescharacteristic
105C2×C7⋊#95C2211yescharacteristic
106#89765C2211yescharacteristic, complemented
107#89765C2211yescharacteristic, complemented
108#89759C2211yescharacteristic, complemented
109#89757C2211yescharacteristic, complemented
110#89757C2211yescharacteristic, complemented
111#89757C2211yescharacteristic, complemented
112#89754C2211yescharacteristic, complemented
113#89754C2211yescharacteristic, complemented
114#89753C2211yescharacteristic, complemented
115#89753C2211yescharacteristic, complemented
116#89752C2211yescharacteristic, complemented
117#89752C2211yescharacteristic, complemented
118#89749C2211yescharacteristic, complemented
119C4⋊C4×Dic7C2211yescharacteristic, complemented
120#89746C2211yescharacteristic, complemented
121#89745C2211yescharacteristic, complemented
122#89733C2211yescharacteristic
123#89733C2211yescharacteristic
124#89733C2211yescharacteristic
125#89733C2211yescharacteristic, complemented
126#89728C2211yescharacteristic
127#89728C2211yescharacteristic
128#89728C2211yescharacteristic
129#89728C2211yescharacteristic, complemented
130#89728C2211yescharacteristic, complemented
131#89728C2211yescharacteristic, complemented
132#89725C2211yescharacteristic
133#89725C2211yescharacteristic, complemented
134#89723C2211yescharacteristic
135#89723C2211yescharacteristic
136#89723C2211yescharacteristic
137#89723C2211yescharacteristic
138#89723C2211yescharacteristic
139#89723C2211yescharacteristic
140#89723C2211yescharacteristic
141#89723C2211yescharacteristic
142#89723C2211yescharacteristic
143#89723C2211yescharacteristic
144#89723C2211yescharacteristic
145#89723C2211yescharacteristic
146#89723C2211yescharacteristic, complemented
147#89723C2211yescharacteristic, complemented
148#89723C2211yescharacteristic, complemented
149#89723C2211yescharacteristic, complemented
150#89722C2211yescharacteristic
151#89722C2211yescharacteristic
152#89722C2211yescharacteristic, complemented
153#89722C2211yescharacteristic, complemented
154#89720C2211yescharacteristic
155#89720C2211yescharacteristic
156#89720C2211yescharacteristic
157#89720C2211yescharacteristic, complemented
158#89719C2211yescharacteristic
159#89719C2211yescharacteristic, complemented
160#89717C2211yescharacteristic
161#89717C2211yescharacteristic
162#89717C2211yescharacteristic, complemented
163#89717C2211yescharacteristic, complemented
164#89716C2211yescharacteristic
165#89716C2211yescharacteristic
166#89716C2211yescharacteristic
167#89716C2211yescharacteristic, complemented
168#89716C2211yescharacteristic, complemented
169#89716C2211yescharacteristic, complemented
170C22⋊C4×Dic7C2211yescharacteristic
171C22⋊C4×Dic7C2211yescharacteristic
172C22⋊C4×Dic7C2211yescharacteristic, complemented
173C22⋊C4×Dic7C2211yescharacteristic, complemented
174C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
175C4×Dic7⋊C4C2211yescharacteristic, complemented
176C42×Dic7C2211yescharacteristic, complemented
177#89701C2211yescharacteristic, complemented
178#89701C2211yescharacteristic, complemented
179#89700C2211yescharacteristic, complemented
180#89700C2211yescharacteristic, complemented
181#89438C2211yescharacteristic, complemented
182#89438C2211yescharacteristic, complemented
183#89433C2211yescharacteristic, complemented
184#89433C2211yescharacteristic, complemented
185#89428C2211yescharacteristic, complemented
186#89428C2211yescharacteristic, complemented
187#89421C2211yescharacteristic, complemented
188#89421C2211yescharacteristic, complemented
189#35009—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#123—24no—
217C7×#123—24no—
218C7×#121—24no—
219C7×#120—24no—
220C7×#120—24no—
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4—24no—
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×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C42×C7C2311yescharacteristic
244C2×C42×C7C2311yescharacteristic
245#6516—24no—
246C2×C22⋊Dic7—24no—
247C2×C22⋊Dic7—42no—
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274C2×C22⋊Dic7C2311yescharacteristic
275C2×C22⋊Dic7C2311yescharacteristic
276C2×C22⋊Dic7C2311yescharacteristic
277#6502—24no—
278#6502—24no—
279#6502—24no—
280#6501—24no—
281#6501—42no—
282#6499—24no—
283#6499—42no—
284#6498—24no—
285D4×Dic7—24no—
286D4×Dic7—24no—
287D4×Dic7—42no—
288#6492—24no—
289C4×C22⋊D7—24no—
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×C4⋊Dic7—24no—
298C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×C4×Dic7—42no—
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337#6461—24no—
338#6460—24no—
339#6453—24no—
340#6452—24no—
341#6449—24no—
342#6448—24no—
343#6446—24no—
344#6446—24no—
345(C22⋊D7)⋊C4—24no—
346(C22⋊D7)⋊C4D418yescomplemented
347#6442—24no—
348#6442—24no—
349#6442—24no—
350#6441—24no—
351#6441—24no—
352#6441—24no—
353C42×D7—42no—
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×#539—71no—
387C2×#538—71no—
388#2861—71no—
389#2860—71no—
390#2854—71no—
391#2850—71no—
392#2664—71no—
393#2663—71no—
394#2662—71no—
395#2661—71no—
396#2560—71no—
397#2559—71no—
398#2558—71no—
399#2557—71no—
400#2549—71no—
401#2543—71no—
402#2539D711yescharacteristic, complemented
403#2534—71no—
404#2521—71no—
405#2519—71no—
406#2488—71no—
407#2472—71no—
408#2464—71no—
409#2461—71no—
410#2425—71no—
411#2424—71no—
412#2322—71no—
413#2321—71no—
414C4×#121—71no—
415C2×#388—71no—
416C42×D4—71no—
417C24×C7—22no—
418C24×C7—22no—
419C24×C7—22no—
420C24×C7—41no—
421C24×C7—41no—
422C24×C7—41no—
423C24×C7—41no—
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C24×C7C2411yescharacteristic
428C24×C7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—22no—
436C2×C7×D4—22no—
437C2×C7×D4—22no—
438C2×C7×D4—22no—
439C2×C7×D4—22no—
440C2×C7×D4—22no—
441C2×C7×D4—41no—
442C2×C7×D4—41no—
443C2×C7×D4—41no—
444C2×C7×D4—41no—
445C2×C7×D4—41no—
446C2×C7×D4—41no—
447C2×C7×D4—41no—
448C2×C7×D4—41no—
449C2×C7×D4—41no—
450C2×C7×D4—41no—
451C22×C4×C7—22no—
452C22×C4×C7—22no—
453C22×C4×C7—22no—
454C22×C4×C7—41no—
455C22×C4×C7—41no—
456C22×C4×C7#4114yes—
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7C2×D414yes—
482C22×Dic7—22no—
483C22×Dic7—22no—
484C22×Dic7—22no—
485C22×Dic7—22no—
486C22×Dic7—22no—
487C22×Dic7—22no—
488C22×Dic7—41no—
489C22×Dic7—41no—
490C22×Dic7—41no—
491C22×Dic7—41no—
492C22×Dic7—41no—
493C22×Dic7—41no—
494C22×Dic7—41no—
495C22×Dic7—41no—
496C22×Dic7—41no—
497C22×Dic7—41no—
498C22×Dic7—41no—
499C22×Dic7C2×D414yes—
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7C2×D414yes—
524C2×Dic14—22no—
525C2×Dic14—22no—
526C2×Dic14—41no—
527C2×Dic14—41no—
528C2×Dic14—41no—
529C2×Dic14—41no—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—22no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—22no—
535C7×C22⋊C4—22no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—22no—
543C7×C22⋊C4—22no—
544C7×C22⋊C4—22no—
545C7×C22⋊C4—22no—
546C7×C22⋊C4—22no—
547C7×C22⋊C4—22no—
548C7×C22⋊C4—22no—
549C7×C22⋊C4C2×D414yes—
550C7×C22⋊C4#4114yes—
551C42×C7—41no—
552C42×C7—41no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—22no—
559C22⋊Dic7—22no—
560C22⋊Dic7—22no—
561C22⋊Dic7—22no—
562C22⋊Dic7—22no—
563C22⋊Dic7—22no—
564C22⋊Dic7—22no—
565C22⋊Dic7—22no—
566C22⋊Dic7—22no—
567C22⋊Dic7—22no—
568C22⋊Dic7—22no—
569C22⋊Dic7—22no—
570C22⋊Dic7—41no—
571C22⋊Dic7—41no—
572C22⋊Dic7—41no—
573C22⋊Dic7—41no—
574C22⋊Dic7—41no—
575C22⋊Dic7—41no—
576C22⋊Dic7—41no—
577C22⋊Dic7—41no—
578C22⋊Dic7—41no—
579C22⋊Dic7—41no—
580C22⋊Dic7—41no—
581C22⋊Dic7—41no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—22no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—22no—
587(C2×D7)⋊C4—22no—
588(C2×D7)⋊C4C2×D414yes—
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—41no—
598C4⋊Dic7—41no—
599C4⋊Dic7—41no—
600C4⋊Dic7—41no—
601C4⋊Dic7—41no—
602C4⋊Dic7—41no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4C2×D414yes—
614C4×Dic7—22no—
615C4×Dic7—22no—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—22no—
621C4×Dic7—41no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7C2×D414yes—
627#539—148no—
628#538—148no—
629C2×#126—71no—
630C2×#126—71no—
631C2×#126—71no—
632C2×#126—71no—
633C2×#125—71no—
634C2×#125—71no—
635C2×#124—71no—
636C2×#124—71no—
637C2×#124—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123C2×D711yescharacteristic
644C2×#123C2×D711yescharacteristic
645C2×C22⋊Q8—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121C2×D711yescharacteristic
655C2×#120—71no—
656C2×#120C2×D711yescharacteristic
657C2×#120C2×D711yescharacteristic
658C2×C4×D4—71no—
659C2×C4×D4—71no—
660C2×C4×D4—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C22×C4⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667C22×C22⋊C4C2×D711yescharacteristic
668C22×C42—71no—
669C22×C42—71no—
670#400—71no—
671#400—71no—
672#399C2×D711yescharacteristic
673#399C2×D711yescharacteristic
674#398—71no—
675#398—71no—
676#398—71no—
677#398—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#396—71no—
683#396—71no—
684#396—71no—
685#396—71no—
686#395—71no—
687#395—71no—
688#394—71no—
689#394—71no—
690#394—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392C2×D711yescharacteristic
701#392C2×D711yescharacteristic
702#391—71no—
703#391—71no—
704#391—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#390—71no—
710#390C2×D711yescharacteristic
711#390C2×D711yescharacteristic
712#390C2×D711yescharacteristic
713#390C2×D711yescharacteristic
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389—71no—
719#389—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#388—71no—
743#388—71no—
744#388—71no—
745#388—71no—
746#387—71no—
747#387—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386—71no—
757#386—71no—
758#386—71no—
759#386—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#382—71no—
765#381—71no—
766#380—71no—
767#380—71no—
768#379—71no—
769C4×C4⋊C4—71no—
770C4×C4⋊C4—71no—
771C4×C4⋊C4—71no—
772C4×C4⋊C4—71no—
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4—71no—
780C4×C22⋊C4C2×D711yescharacteristic
781C2×#95—71no—
782C2×#95—71no—
783C43—71no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—44no—
817C23×C7—44no—
818C23×C7—44no—
819C23×C7—82no—
820C23×C7—82no—
821C23×C7—82no—
822C23×C7—82no—
823C23×C7C22×D412yes—
824C23×C7C2×#4112yes—
825C23×C7C2×#4112yes—
826C23×C7C2511yescharacteristic
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—21no—
831C22×D7—21no—
832C22×D7—21no—
833C22×D7C22×D412yes—
834C7×D4—44no—
835C7×D4—44no—
836C7×D4—44no—
837C7×D4—82no—
838C7×D4—82no—
839C7×D4—82no—
840C7×D4—82no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—44no—
866C2×C4×C7—44no—
867C2×C4×C7C22×D412yes—
868C2×C4×C7C22×D412yes—
869C2×C4×C7C2×#4112yes—
870C2×C4×C7C2×#4112yes—
871C2×C4×C7C2×#4112yes—
872C2×C4×C7C2×#4112yes—
873C22⋊D7—28no—
874C22⋊D7—82no—
875C22⋊D7—82no—
876C22⋊D7—82no—
877C22⋊D7—82no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—44no—
920C2×Dic7—44no—
921C2×Dic7—82no—
922C2×Dic7—82no—
923C2×Dic7—82no—
924C2×Dic7—82no—
925C2×Dic7C22×D412yes—
926C2×Dic7C22×D412yes—
927C2×Dic7C22×D412yes—
928C2×Dic7H(5,𝔽2)12yes—
929C4×D7—44no—
930C4×D7—44no—
931C4×D7—44no—
932Dic14—82no—
933Dic14—82no—
934C25C22×D711yescharacteristic
935C22×Q8—71no—
936C22×Q8—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4C22×D711yescharacteristic
943C22×D4C22×D711yescharacteristic
944C22×D4C22×D711yescharacteristic
945C22×D4C22×D711yescharacteristic
946C22×D4C22×D711yescharacteristic
947C22×D4C22×D711yescharacteristic
948C22×D4C22×D711yescharacteristic
949C23×C4—71no—
950C23×C4—71no—
951C23×C4—71no—
952C23×C4—71no—
953C23×C4—71no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4C22×D711yescharacteristic
959C23×C4C22×D711yescharacteristic
960#126—144no—
961#126—144no—
962#126—144no—
963#126—144no—
964#125—144no—
965#125—144no—
966#124—144no—
967#124—144no—
968#124—282no—
969#123—24no—
970#123—24no—
971#123—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976C22⋊Q8—144no—
977C22⋊Q8—144no—
978C22⋊Q8—144no—
979C22⋊Q8—144no—
980#121—24no—
981#121—144no—
982#121—144no—
983#121—144no—
984#121—144no—
985#121—282no—
986#120—24no—
987#120—24no—
988#120—144no—
989C4×D4—78no—
990C4×D4—144no—
991C4×D4—144no—
992C4×D4—144no—
993C4×D4—144no—
994C4×D4—282no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—144no—
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
1025C2×C4⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4—24no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—144no—
1064C2×C22⋊C4—282no—
1065C2×C22⋊C4C22×D711yescharacteristic
1066C2×C22⋊C4C22×D711yescharacteristic
1067C2×C22⋊C4C22×D711yescharacteristic
1068C2×C22⋊C4C22×D711yescharacteristic
1069C2×C22⋊C4C22×D711yescharacteristic
1070C2×C22⋊C4C22×D711yescharacteristic
1071C2×C22⋊C4C22×D711yescharacteristic
1072C2×C22⋊C4C22×D711yescharacteristic
1073C2×C22⋊C4C22×D711yescharacteristic
1074C2×C22⋊C4C22×D711yescharacteristic
1075C2×C22⋊C4C22×D711yescharacteristic
1076C2×C22⋊C4C22×D711yescharacteristic
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C42—71no—
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—71no—
1090C2×C42—71no—
1091C2×C42—71no—
1092C2×C42—71no—
1093C2×C42—71no—
1094C2×C42—282no—
1095C2×C42—282no—
1096C2×C42C22×D711yescharacteristic
1097C2×C42C22×D711yescharacteristic
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95—71no—
1123#95—71no—
1124#95—71no—
1125#95—71no—
1126#95—71no—
1127#95—71no—
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130C22×C7—22no—
1131C22×C7—22no—
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—22no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7—41no—
1147C22×C7—41no—
1148C22×C7—41no—
1149C22×C7—41no—
1150C22×C7—41no—
1151C22×C7—41no—
1152C22×C7—41no—
1153C22×C7—41no—
1154C22×C7—41no—
1155C22×C7—41no—
1156C22×C7—41no—
1157C22×C7—41no—
1158C22×C7—41no—
1159C22×C7—41no—
1160C22×C7—41no—
1161C22×C7—41no—
1162C22×C7—41no—
1163C22×C7—41no—
1164C22×C7—88no—
1165C22×C7#53214yes—
1166C22×C7C23×D411yescharacteristic
1167C22×C7C22×#4111yescharacteristic
1168C22×C7C22×#4111yescharacteristic
1169C22×C7C2×H(5,𝔽2)11yescharacteristic
1170C22×C7#58511yescharacteristic
1171C22×C7#58511yescharacteristic
1172C22×C7#58511yescharacteristic
1173C2×D7—22no—
1174C2×D7—22no—
1175C2×D7—22no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C4×C7—22no—
1181C4×C7—22no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—22no—
1185C4×C7—22no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190Dic7—22no—
1191Dic7—22no—
1192Dic7—22no—
1193Dic7—22no—
1194Dic7—41no—
1195Dic7—41no—
1196Dic7—41no—
1197Dic7—41no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—71no—
1213C24C23×D711yescharacteristic
1214C24C23×D711yescharacteristic
1215C24C23×D711yescharacteristic
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C2×Q8—142no—
1219C2×Q8—142no—
1220C2×Q8—281no—
1221C2×Q8—281no—
1222C2×Q8—281no—
1223C2×Q8—281no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—74no—
1246C2×D4—142no—
1247C2×D4—142no—
1248C2×D4—142no—
1249C2×D4—142no—
1250C2×D4—142no—
1251C2×D4—142no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—71no—
1266C22×C4—71no—
1267C22×C4—71no—
1268C22×C4—71no—
1269C22×C4—74no—
1270C22×C4—74no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—142no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—281no—
1292C22×C4—281no—
1293C22×C4—281no—
1294C22×C4—281no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4—281no—
1307C22×C4#115914yes—
1308C22×C4C23×D711yescharacteristic
1309C22×C4C23×D711yescharacteristic
1310C22×C4C23×D711yescharacteristic
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—74no—
1324C4⋊C4—142no—
1325C4⋊C4—142no—
1326C4⋊C4—142no—
1327C4⋊C4—142no—
1328C4⋊C4—142no—
1329C4⋊C4—142no—
1330C4⋊C4—142no—
1331C4⋊C4—142no—
1332C4⋊C4—142no—
1333C4⋊C4—142no—
1334C4⋊C4—142no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—281no—
1343C4⋊C4—281no—
1344C4⋊C4—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C4⋊C4—281no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—74no—
1363C22⋊C4—142no—
1364C22⋊C4—142no—
1365C22⋊C4—142no—
1366C22⋊C4—142no—
1367C22⋊C4—142no—
1368C22⋊C4—142no—
1369C22⋊C4—142no—
1370C22⋊C4—142no—
1371C22⋊C4—142no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—281no—
1387C22⋊C4—281no—
1388C22⋊C4—281no—
1389C22⋊C4—281no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4D4×D714yes—
1399C22⋊C4#115914yes—
1400C42—41no—
1401C42—41no—
1402C42—74no—
1403C42—142no—
1404C42—142no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—142no—
1409C42—142no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—24no—
1416C2×C7—81no—
1417C2×C7—81no—
1418C2×C7—81no—
1419C2×C7—81no—
1420C2×C7C2×#53211yescharacteristic
1421C2×C7#345511yescharacteristic
1422C2×C7#345911yescharacteristic
1423C2×C7#349611yescharacteristic
1424C2×C7#350011yescharacteristic
1425C2×C7#351311yescharacteristic
1426C2×C7#352111yescharacteristic
1427D7—42no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—72no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—141no—
1473C23—141no—
1474C23C2×D4×D712yes—
1475C23C2×#115912yes—
1476C23C2×#115912yes—
1477C23C24×D711yescharacteristic
1478Q8—562no—
1479Q8—562no—
1480D4—44no—
1481D4—44no—
1482D4—44no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—148no—
1488D4—562no—
1489D4—562no—
1490D4—562no—
1491D4—562no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—72no—
1519C2×C4—72no—
1520C2×C4—72no—
1521C2×C4—72no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—284no—
1564C2×C4—284no—
1565C2×C4—284no—
1566C2×C4—284no—
1567C2×C4—284no—
1568C2×C4—562no—
1569C2×C4—562no—
1570C2×C4—562no—
1571C2×C4—562no—
1572C2×C4C2×D4×D712yes—
1573C2×C4C2×D4×D712yes—
1574C2×C4C2×#115912yes—
1575C2×C4C2×#115912yes—
1576C2×C4C2×#115912yes—
1577C2×C4C2×#115912yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—88no—
1614C22—142no—
1615C22—142no—
1616C22—142no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22#9040714yes—
1622C22C22×D4×D711yescharacteristic
1623C22C22×#115911yescharacteristic
1624C22C22×#115911yescharacteristic
1625C22#9061611yescharacteristic
1626C22#9061611yescharacteristic
1627C22D7×H(5,𝔽2)11yescharacteristic
1628C22#9061811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—142no—
1640C4—142no—
1641C4—142no—
1642C4—142no—
1643C4—281no—
1644C4—281no—
1645C4—281no—
1646C4—281no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—24no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—282no—
1660C2#1174308711yescharacteristic
1661C2C2×#9040711yescharacteristic
1662C2#1174336311yescharacteristic
1663C2#1174370011yescharacteristic
1664C2#1174370411yescharacteristic
1665C2#1174371111yescharacteristic
1666C2#1174373311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2539C2
hypercenter#2539D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2539

Complements

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

NH ≅ G/Ntype
1. C2×#90356C2semidirect
2. C2×#90284C2semidirect
3. C7×#2539C2semidirect
4. #11740302C2semidirect
5. #11740291C2semidirect
6. #11740281C2semidirect
7. #11740116C2semidirect
8. Dic7×#121C2semidirect
9. #11740034C2semidirect
10. #11740031C2semidirect
11. #11740023C2semidirect
12. #11739574C2semidirect
13. C2×#89723C2semidirect
14. #11735504C2semidirect
15. #11735503C2semidirect
16. #11735479C2semidirect
17. #11735478C2semidirect
18. #11734154C2semidirect
19. #11734153C2semidirect
20. #11734128C2semidirect
21. #11734125C2semidirect
22. #11733920C2semidirect
23. #11733919C2semidirect
24. #11733871C2semidirect
25. #11733870C2semidirect
26. #11733805C2semidirect
27. #11733804C2semidirect
28. #11733803C2semidirect
29. #11733802C2semidirect
30. #11730979C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
51. C2×D4×Dic7C22semidirect
58. C2×#6461C22semidirect
59. C2×#6460C22semidirect
60. C2×#6453C22semidirect
61. C2×#6452C22semidirect
62. C2×#6449C22semidirect
65. C2×#6446C22semidirect
70. C2×#6442C22semidirect
73. C2×#6441C22semidirect
74. C2×C42×D7C22semidirect
86. #89995C22semidirect
90. #89994C22semidirect
95. #89993C22semidirect
106. #89765C22semidirect
107. #89765C22semidirect
108. #89759C22semidirect
109. #89757C22semidirect
110. #89757C22semidirect
111. #89757C22semidirect
112. #89754C22semidirect
113. #89754C22semidirect
114. #89753C22semidirect
115. #89753C22semidirect
116. #89752C22semidirect
117. #89752C22semidirect
118. #89749C22semidirect
119. C4⋊C4×Dic7C22semidirect
120. #89746C22semidirect
121. #89745C22semidirect
125. #89733C22semidirect
129. #89728C22semidirect
130. #89728C22semidirect
131. #89728C22semidirect
133. #89725C22semidirect
146. #89723C22semidirect
147. #89723C22semidirect
148. #89723C22semidirect
149. #89723C22semidirect
152. #89722C22semidirect
153. #89722C22semidirect
157. #89720C22semidirect
159. #89719C22semidirect
162. #89717C22semidirect
163. #89717C22semidirect
167. #89716C22semidirect
168. #89716C22semidirect
169. #89716C22semidirect
172. C22⋊C4×Dic7C22semidirect
173. C22⋊C4×Dic7C22semidirect
174. C4×(C2×D7)⋊C4C22semidirect
175. C4×Dic7⋊C4C22semidirect
176. C42×Dic7C22semidirect
177. #89701C22semidirect
178. #89701C22semidirect
179. #89700C22semidirect
180. #89700C22semidirect
181. #89438C22semidirect
182. #89438C22semidirect
183. #89433C22semidirect
184. #89433C22semidirect
185. #89428C22semidirect
186. #89428C22semidirect
187. #89421C22semidirect
188. #89421C22semidirect
346. (C22⋊D7)⋊C4D4semidirect
402. #2539D7semidirect
1578. C7#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#903562
C2×#902842
C7×#25392
#117403022
#117402912
#117402812
#117401162
Dic7×#1212
#117400342
#117400312
#117400232
#117395742
C2×#897232
#117355042
#117355032
#117354792
#117354782
#117341542
#117341532
#117341282
#117341252
#117339202
#117339192
#117338712
#117338702
#117338052
#117338042
#117338032
#117338022
#117309792
C4×(C22⋊D7)⋊C42
#350097