Finite Group Databasebeta

← #13526810

Subgroups — #13526810

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×#90395C211yesmaximal, characteristic, complemented
2C2×#90383C211yesmaximal, characteristic, complemented
3C7×#2664C211yesmaximal, characteristic, complemented
4#11740549C211yesmaximal, characteristic, complemented
5#11740502C211yesmaximal, characteristic, complemented
6#11735792C211yesmaximal, characteristic, complemented
7#11735624C211yesmaximal, characteristic, complemented
8#11735552C211yesmaximal, characteristic, complemented
9#11735479C211yesmaximal, characteristic, complemented
10#11735403C211yesmaximal, characteristic, complemented
11#11735402C211yesmaximal, characteristic, complemented
12#11735393C211yesmaximal, characteristic, complemented
13#11735236C211yesmaximal, characteristic, complemented
14#11735216C211yesmaximal, characteristic, complemented
15#11735198C211yesmaximal, characteristic, complemented
16#11734962C211yesmaximal, characteristic, complemented
17#11734919C211yesmaximal, characteristic, complemented
18#11734866C211yesmaximal, characteristic, complemented
19#11734861C211yesmaximal, characteristic, complemented
20#11734764C211yesmaximal, characteristic, complemented
21#11734740C211yesmaximal, characteristic, complemented
22#11733731C211yesmaximal, characteristic, complemented
23#11733700C211yesmaximal, characteristic, complemented
24#11733641C211yesmaximal, characteristic, complemented
25#11733409C211yesmaximal, characteristic, complemented
26#11733402C211yesmaximal, characteristic, complemented
27#11733355C211yesmaximal, characteristic, complemented
28#11733271C211yesmaximal, characteristic, complemented
29D7×#388C211yesmaximal, characteristic, complemented
30#11731261C211yesmaximal, characteristic, complemented
31C4×#6456C211yesmaximal, characteristic, complemented
32C2×C7×#126C2211yescharacteristic
33C2×C7×#125C2211yescharacteristic, complemented
34#90395—28no—
35#90383—28no—
36C2×#6461C2211yescharacteristic
37C2×#6461C2211yescharacteristic, complemented
38C2×#6460C2211yescharacteristic, complemented
39C2×#6459C2211yescharacteristic
40C2×#6459C2211yescharacteristic
41C2×#6459C2211yescharacteristic, complemented
42C2×#6458C2211yescharacteristic
43C2×#6458C2211yescharacteristic
44C2×#6458C2211yescharacteristic
45C2×#6458C2211yescharacteristic
46C2×#6458C2211yescharacteristic
47C2×#6457C2211yescharacteristic
48C2×#6457C2211yescharacteristic
49C2×#6457C2211yescharacteristic
50C2×#6457C2211yescharacteristic
51C2×#6457C2211yescharacteristic, complemented
52C2×#6457C2211yescharacteristic, complemented
53C2×#6456C2211yescharacteristic
54C2×#6456C2211yescharacteristic
55C2×#6456C2211yescharacteristic
56C2×#6456C2211yescharacteristic
57C2×#6456C2211yescharacteristic, complemented
58C2×D7×C4⋊C4C2211yescharacteristic
59C2×#6452C2211yescharacteristic, complemented
60C2×#6448C2211yescharacteristic
61C2×#6448C2211yescharacteristic
62C2×#6447C2211yescharacteristic
63C2×#6446C2211yescharacteristic
64C2×#6445C2211yescharacteristic
65C2×#6445C2211yescharacteristic
66C2×#6445C2211yescharacteristic
67C2×D7×C22⋊C4C2211yescharacteristic
68C2×D7×C22⋊C4C2211yescharacteristic
69C2×D7×C22⋊C4C2211yescharacteristic
70C2×#6439C2211yescharacteristic, complemented
71C2×#6438C2211yescharacteristic
72C2×C4×D28C2211yescharacteristic
73C2×C42×D7C2211yescharacteristic
74C2×C42×D7C2211yescharacteristic, complemented
75C7×#400C2211yescharacteristic, complemented
76C7×#399C2211yescharacteristic
77C7×#398C2211yescharacteristic, complemented
78C7×#398C2211yescharacteristic, complemented
79C7×#398C2211yescharacteristic, complemented
80C7×#397C2211yescharacteristic
81C7×#396C2211yescharacteristic
82C7×#396C2211yescharacteristic
83C7×#389C2211yescharacteristic, complemented
84C7×#389C2211yescharacteristic, complemented
85C7×#388C2211yescharacteristic
86C7×#388C2211yescharacteristic
87C4×C7×C4⋊C4C2211yescharacteristic, complemented
88#89766C2211yescharacteristic
89#89766C2211yescharacteristic, complemented
90#89765C2211yescharacteristic, complemented
91#89764C2211yescharacteristic
92#89763C2211yescharacteristic
93#89763C2211yescharacteristic
94#89763C2211yescharacteristic, complemented
95#89762C2211yescharacteristic
96#89762C2211yescharacteristic
97#89762C2211yescharacteristic
98#89762C2211yescharacteristic
99#89762C2211yescharacteristic, complemented
100#89762C2211yescharacteristic, complemented
101#89762C2211yescharacteristic, complemented
102#89762C2211yescharacteristic, complemented
103#89762C2211yescharacteristic, complemented
104#89762C2211yescharacteristic, complemented
105#89762C2211yescharacteristic, complemented
106#89761C2211yescharacteristic
107#89761C2211yescharacteristic, complemented
108#89760C2211yescharacteristic
109#89760C2211yescharacteristic
110#89760C2211yescharacteristic
111#89759C2211yescharacteristic
112#89759C2211yescharacteristic, complemented
113#89753C2211yescharacteristic, complemented
114#89751C2211yescharacteristic, complemented
115C4⋊C4×Dic7C2211yescharacteristic, complemented
116C4⋊C4×Dic7C2211yescharacteristic, complemented
117C4⋊C4×Dic7C2211yescharacteristic, complemented
118#89746C2211yescharacteristic, complemented
119#89746C2211yescharacteristic, complemented
120#89745C2211yescharacteristic, complemented
121#89744C2211yescharacteristic, complemented
122#89744C2211yescharacteristic, complemented
123#89744C2211yescharacteristic, complemented
124#89733C2211yescharacteristic
125#89732C2211yescharacteristic
126#89732C2211yescharacteristic
127#89731C2211yescharacteristic
128#89729C2211yescharacteristic
129#89729C2211yescharacteristic
130#89729C2211yescharacteristic
131#89729C2211yescharacteristic
132#89728C2211yescharacteristic
133#89728C2211yescharacteristic
134#89728C2211yescharacteristic
135#89727C2211yescharacteristic
136#89723C2211yescharacteristic
137#89723C2211yescharacteristic
138#89717C2211yescharacteristic
139#89717C2211yescharacteristic
140#89717C2211yescharacteristic
141#89716C2211yescharacteristic
142#89712C2211yescharacteristic
143#89712C2211yescharacteristic, complemented
144#89711C2211yescharacteristic
145#89711C2211yescharacteristic, complemented
146C4×(C2×D7)⋊C4C2211yescharacteristic
147C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
148C42×Dic7C2211yescharacteristic, complemented
149#89447C2211yescharacteristic, complemented
150#89447C2211yescharacteristic, complemented
151#89445C2211yescharacteristic
152#89445C2211yescharacteristic, complemented
153#89444C2211yescharacteristic
154#89444C2211yescharacteristic
155#89444C2211yescharacteristic, complemented
156#89443C2211yescharacteristic
157#89443C2211yescharacteristic, complemented
158#89442C2211yescharacteristic
159#89441C2211yescharacteristic
160#89441C2211yescharacteristic
161#89441C2211yescharacteristic
162#89441C2211yescharacteristic, complemented
163#89440C2211yescharacteristic
164#89440C2211yescharacteristic, complemented
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic
167#89438C2211yescharacteristic, complemented
168#89438C2211yescharacteristic, complemented
169#89438C2211yescharacteristic, complemented
170#89438C2211yescharacteristic, complemented
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic, complemented
178#89437C2211yescharacteristic, complemented
179#89437C2211yescharacteristic, complemented
180#89436C2211yescharacteristic
181D7×#95C2211yescharacteristic
182D7×#95C2211yescharacteristic
183#89430C2211yescharacteristic, complemented
184#89429C2211yescharacteristic, complemented
185#89428C2211yescharacteristic, complemented
186#89424C2211yescharacteristic, complemented
187#89422C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#35009—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×D28C2311yescharacteristic
195C22×D28C2311yescharacteristic
196C22×D28C2311yescharacteristic
197C22×D28C2311yescharacteristic
198C22×D28C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#126—24no—
217C7×#125—24no—
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×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊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×C42×C7C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242C2×C42×C7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
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×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
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
315#6461—24no—
316#6461—24no—
317#6460—24no—
318#6459—24no—
319#6459—24no—
320#6459—24no—
321#6458—24no—
322#6458—24no—
323#6458—24no—
324#6458—24no—
325#6458—42no—
326#6457—24no—
327#6457—24no—
328#6457—24no—
329#6457—24no—
330#6457—24no—
331#6457—24no—
332#6456—24no—
333#6456—24no—
334#6456—24no—
335#6456—24no—
336#6456—42no—
337D7×C4⋊C4—24no—
338#6452—24no—
339#6448—24no—
340#6448—42no—
341#6447—24no—
342#6446—24no—
343#6445—24no—
344#6445—24no—
345#6445—24no—
346D7×C22⋊C4—24no—
347D7×C22⋊C4—24no—
348D7×C22⋊C4—42no—
349#6439—24no—
350#6438—24no—
351C4×D28D418yescomplemented
352C42×D7—42no—
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#2664D711yescharacteristic, complemented
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#2539—71no—
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×C7C2411yescharacteristic
418C23×D7—22no—
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—41no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7C2411yescharacteristic
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
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
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C2×D28—22no—
465C2×D28—22no—
466C2×D28—22no—
467C2×D28—22no—
468C2×D28—22no—
469C2×D28—22no—
470C2×D28—22no—
471C2×D28—22no—
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28—41no—
481C2×D28—41no—
482C2×D28—41no—
483C2×D28—41no—
484C2×D28—41no—
485C2×D28—41no—
486C2×D28—41no—
487C2×D28—41no—
488C2×D28—41no—
489C2×D28—41no—
490C2×D28C2×D414yes—
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—22no—
502C2×C4×D7—22no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7C2×D414yes—
522C2×C4×D7C2×D414yes—
523C2×C4×D7#4114yes—
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×C4⋊C4—22no—
536C7×C4⋊C4—22no—
537C7×C4⋊C4—22no—
538C7×C4⋊C4—22no—
539C7×C4⋊C4—22no—
540C7×C4⋊C4—22no—
541C7×C4⋊C4—22no—
542C7×C4⋊C4—22no—
543C7×C4⋊C4—41no—
544C7×C4⋊C4—41no—
545C7×C22⋊C4—22no—
546C7×C22⋊C4—22no—
547C7×C22⋊C4—22no—
548C7×C22⋊C4—22no—
549C7×C22⋊C4—22no—
550C7×C22⋊C4—41no—
551C7×C22⋊C4—41no—
552C42×C7—41no—
553C42×C7—41no—
554C42×C7C2×D414yes—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—41no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—22no—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
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)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4—41no—
596(C2×D7)⋊C4—41no—
597(C2×D7)⋊C4C2×D414yes—
598(C2×D7)⋊C4C2×D414yes—
599(C2×D7)⋊C4#4114yes—
600C4⋊Dic7—22no—
601C4⋊Dic7—41no—
602C4⋊Dic7—41no—
603C4⋊Dic7C2×D414yes—
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⋊C4—41no—
614Dic7⋊C4—41no—
615C4×Dic7—22no—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—22no—
621C4×Dic7—22no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7—41no—
627#539—148no—
628#538—148no—
629C2×#126—71no—
630C2×#126—71no—
631C2×#126—71no—
632C2×#126C2×D711yescharacteristic
633C2×#125—71no—
634C2×#125C2×D711yescharacteristic, complemented
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×#123—71no—
644C2×#123—71no—
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×#121—71no—
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
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⋊C4—71no—
668C22×C42—71no—
669C22×C42—71no—
670#400—71no—
671#400C2×D711yescharacteristic, complemented
672#399—71no—
673#399C2×D711yescharacteristic
674#398—71no—
675#398C2×D711yescharacteristic, complemented
676#398C2×D711yescharacteristic, complemented
677#398C2×D711yescharacteristic, complemented
678#397—71no—
679#397—71no—
680#397—71no—
681#397C2×D711yescharacteristic
682#396—71no—
683#396—71no—
684#396C2×D711yescharacteristic
685#396C2×D711yescharacteristic
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#392—71no—
701#392—71no—
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#390—71no—
711#390—71no—
712#390—71no—
713#390—71no—
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389C2×D711yescharacteristic, complemented
719#389C2×D711yescharacteristic, complemented
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#388C2×D711yescharacteristic
745#388C2×D711yescharacteristic
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⋊C4C2×D711yescharacteristic, complemented
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⋊C4—71no—
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×C7C2511yescharacteristic
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—44no—
824C22×D7—44no—
825C22×D7—44no—
826C22×D7—82no—
827C22×D7—82no—
828C22×D7—82no—
829C22×D7—82no—
830C22×D7C22×D412yes—
831C22×D7C22×D412yes—
832C22×D7C2×#4112yes—
833C22×D7C2×#4112yes—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
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—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7C22×D412yes—
872C2×C4×C7C22×D412yes—
873C2×C4×C7C22×D412yes—
874C2×C4×C7C2×#4112yes—
875C2×C4×C7C2×#4112yes—
876C22⋊D7—82no—
877C22⋊D7—82no—
878C22⋊D7—82no—
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×Dic7C22×D412yes—
908C2×Dic7C22×D412yes—
909C2×Dic7C2×#4112yes—
910C2×Dic7C2×#4112yes—
911C2×Dic7H(5,𝔽2)12yes—
912D28—28no—
913D28—44no—
914D28—44no—
915D28—44no—
916D28—82no—
917D28—82no—
918D28—82no—
919D28—82no—
920D28—82no—
921C4×D7—44no—
922C4×D7—44no—
923C4×D7—44no—
924C4×D7—44no—
925C4×D7—44no—
926C4×D7—44no—
927C4×D7—44no—
928C4×D7—82no—
929C4×D7—82no—
930C4×D7—82no—
931C4×D7—82no—
932Dic14—82no—
933Dic14—82no—
934C25—71no—
935C22×Q8—71no—
936C22×Q8—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
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×C4—71no—
959C23×C4—71no—
960#126—24no—
961#126—144no—
962#126—144no—
963#126—144no—
964#125—24no—
965#125—144no—
966#124—144no—
967#124—144no—
968#124—282no—
969#123—144no—
970#123—144no—
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—144no—
981#121—144no—
982#121—144no—
983#121—144no—
984#121—144no—
985#121—282no—
986#120—144no—
987#120—144no—
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—144no—
1011C2×C4⋊C4C22×D711yescharacteristic
1012C2×C4⋊C4C22×D711yescharacteristic
1013C2×C4⋊C4C22×D711yescharacteristic
1014C2×C4⋊C4C22×D711yescharacteristic
1015C2×C4⋊C4C22×D711yescharacteristic
1016C2×C4⋊C4C22×D711yescharacteristic
1017C2×C4⋊C4C22×D711yescharacteristic
1018C2×C4⋊C4C22×D711yescharacteristic
1019C2×C4⋊C4C22×D711yescharacteristic
1020C2×C4⋊C4C22×D711yescharacteristic
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
1025C2×C4⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4—71no—
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—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—144no—
1072C2×C22⋊C4—144no—
1073C2×C22⋊C4—282no—
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—282no—
1094C2×C42—282no—
1095C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1121#95C22×D711yescharacteristic
1122#95C22×D711yescharacteristic
1123#95C22×D711yescharacteristic
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7C23×D411yescharacteristic
1138C22×C7C22×#4111yescharacteristic
1139C22×C7C22×#4111yescharacteristic
1140C22×C7C2×H(5,𝔽2)11yescharacteristic
1141C22×C7#58511yescharacteristic
1142C22×C7#58511yescharacteristic
1143C22×C7#58511yescharacteristic
1144C2×D7—22no—
1145C2×D7—22no—
1146C2×D7—22no—
1147C2×D7—22no—
1148C2×D7—22no—
1149C2×D7—22no—
1150C2×D7—22no—
1151C2×D7—22no—
1152C2×D7—22no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—41no—
1158C2×D7—41no—
1159C2×D7—41no—
1160C2×D7—41no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—88no—
1179C2×D7#53214yes—
1180C4×C7—22no—
1181C4×C7—22no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—22no—
1185C4×C7—41no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192C4×C7—41no—
1193C4×C7—41no—
1194Dic7—22no—
1195Dic7—22no—
1196Dic7—22no—
1197Dic7—22no—
1198Dic7—22no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205C24—71no—
1206C24—71no—
1207C24—71no—
1208C24—71no—
1209C24—71no—
1210C24—142no—
1211C24—142no—
1212C24—142no—
1213C24—281no—
1214C24—281no—
1215C24—281no—
1216C24—281no—
1217C24C23×D711yescharacteristic
1218C2×Q8—142no—
1219C2×Q8—142no—
1220C2×Q8—281no—
1221C2×Q8—281no—
1222C2×Q8—281no—
1223C2×Q8—281no—
1224C2×D4—74no—
1225C2×D4—142no—
1226C2×D4—142no—
1227C2×D4—142no—
1228C2×D4—142no—
1229C2×D4—142no—
1230C2×D4—142no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C2×D4—281no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
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—71no—
1261C22×C4—71no—
1262C22×C4—71no—
1263C22×C4—71no—
1264C22×C4—71no—
1265C22×C4—74no—
1266C22×C4—74no—
1267C22×C4—74no—
1268C22×C4—71no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—142no—
1275C22×C4—142no—
1276C22×C4—142no—
1277C22×C4—142no—
1278C22×C4—142no—
1279C22×C4—142no—
1280C22×C4—142no—
1281C22×C4—142no—
1282C22×C4—142no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—281no—
1287C22×C4—281no—
1288C22×C4—281no—
1289C22×C4—281no—
1290C22×C4—281no—
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×C4C23×D711yescharacteristic
1305C22×C4C23×D711yescharacteristic
1306C22×C4C23×D711yescharacteristic
1307C22×C4C23×D711yescharacteristic
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—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—74no—
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—142no—
1343C4⋊C4—142no—
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—41no—
1354C22⋊C4—41no—
1355C22⋊C4—74no—
1356C22⋊C4—74no—
1357C22⋊C4—74no—
1358C22⋊C4—142no—
1359C22⋊C4—142no—
1360C22⋊C4—142no—
1361C22⋊C4—142no—
1362C22⋊C4—142no—
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—142no—
1387C22⋊C4—142no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
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⋊C4—281no—
1399C22⋊C4—281no—
1400C42—41no—
1401C42—41no—
1402C42—142no—
1403C42—142no—
1404C42—142no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—142no—
1409C42—281no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42D4×D714yes—
1415C2×C7—81no—
1416C2×C7C2×#53211yescharacteristic
1417C2×C7#345511yescharacteristic
1418C2×C7#345911yescharacteristic
1419C2×C7#349611yescharacteristic
1420C2×C7#350011yescharacteristic
1421C2×C7#351311yescharacteristic
1422C2×C7#352111yescharacteristic
1423D7—24no—
1424D7—42no—
1425D7—81no—
1426D7—81no—
1427D7—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—72no—
1436C23—72no—
1437C23—72no—
1438C23—72no—
1439C23—141no—
1440C23—141no—
1441C23—141no—
1442C23—141no—
1443C23—141no—
1444C23—141no—
1445C23—141no—
1446C23—141no—
1447C23—141no—
1448C23—141no—
1449C23—141no—
1450C23—141no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—284no—
1471C23—284no—
1472C23—284no—
1473C23—562no—
1474C23—562no—
1475C23—562no—
1476C23—562no—
1477C23C24×D711yescharacteristic
1478Q8—562no—
1479Q8—562no—
1480D4—148no—
1481D4—284no—
1482D4—284no—
1483D4—284no—
1484D4—562no—
1485D4—562no—
1486D4—562no—
1487D4—562no—
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—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—72no—
1530C2×C4—72no—
1531C2×C4—72no—
1532C2×C4—72no—
1533C2×C4—72no—
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—284no—
1563C2×C4—284no—
1564C2×C4—284no—
1565C2×C4—284no—
1566C2×C4—284no—
1567C2×C4—284no—
1568C2×C4—284no—
1569C2×C4—562no—
1570C2×C4—562no—
1571C2×C4—562no—
1572C2×C4—562no—
1573C2×C4C2×D4×D712yes—
1574C2×C4C2×D4×D712yes—
1575C2×C4C2×D4×D712yes—
1576C2×C4D7×#4112yes—
1577C2×C4D7×#4112yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—74no—
1587C22—142no—
1588C22—142no—
1589C22—142no—
1590C22—142no—
1591C22—142no—
1592C22—142no—
1593C22—142no—
1594C22—142no—
1595C22—142no—
1596C22—281no—
1597C22—281no—
1598C22—281no—
1599C22—281no—
1600C22—281no—
1601C22—281no—
1602C22—281no—
1603C22—281no—
1604C22—281no—
1605C22—281no—
1606C22—281no—
1607C22—281no—
1608C22—281no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22—568no—
1622C22C22×D4×D711yescharacteristic
1623C22C2×D7×#4111yescharacteristic
1624C22C2×D7×#4111yescharacteristic
1625C22D7×H(5,𝔽2)11yescharacteristic
1626C22#9062011yescharacteristic
1627C22#9062011yescharacteristic
1628C22#9062011yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—142no—
1644C4—142no—
1645C4—142no—
1646C4—142no—
1647C4—142no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—81no—
1655C2—144no—
1656C2—282no—
1657C2—561no—
1658C2—561no—
1659C2—561no—
1660C2D7×#53211yescharacteristic
1661C2#1174340911yescharacteristic
1662C2#1174345011yescharacteristic
1663C2#1174349611yescharacteristic
1664C2#1174352311yescharacteristic
1665C2#1174356311yescharacteristic
1666C2#1174358111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2664C2
hypercenter#2664D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2664

Complements

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

NH ≅ G/Ntype
1. C2×#90395C2semidirect
2. C2×#90383C2semidirect
3. C7×#2664C2semidirect
4. #11740549C2semidirect
5. #11740502C2semidirect
6. #11735792C2semidirect
7. #11735624C2semidirect
8. #11735552C2semidirect
9. #11735479C2semidirect
10. #11735403C2semidirect
11. #11735402C2semidirect
12. #11735393C2semidirect
13. #11735236C2semidirect
14. #11735216C2semidirect
15. #11735198C2semidirect
16. #11734962C2semidirect
17. #11734919C2semidirect
18. #11734866C2semidirect
19. #11734861C2semidirect
20. #11734764C2semidirect
21. #11734740C2semidirect
22. #11733731C2semidirect
23. #11733700C2semidirect
24. #11733641C2semidirect
25. #11733409C2semidirect
26. #11733402C2semidirect
27. #11733355C2semidirect
28. #11733271C2semidirect
29. D7×#388C2semidirect
30. #11731261C2semidirect
31. C4×#6456C2semidirect
33. C2×C7×#125C22semidirect
37. C2×#6461C22semidirect
38. C2×#6460C22semidirect
41. C2×#6459C22semidirect
51. C2×#6457C22semidirect
52. C2×#6457C22semidirect
57. C2×#6456C22semidirect
59. C2×#6452C22semidirect
70. C2×#6439C22semidirect
74. C2×C42×D7C22semidirect
75. C7×#400C22semidirect
77. C7×#398C22semidirect
78. C7×#398C22semidirect
79. C7×#398C22semidirect
83. C7×#389C22semidirect
84. C7×#389C22semidirect
87. C4×C7×C4⋊C4C22semidirect
89. #89766C22semidirect
90. #89765C22semidirect
94. #89763C22semidirect
99. #89762C22semidirect
100. #89762C22semidirect
101. #89762C22semidirect
102. #89762C22semidirect
103. #89762C22semidirect
104. #89762C22semidirect
105. #89762C22semidirect
107. #89761C22semidirect
112. #89759C22semidirect
113. #89753C22semidirect
114. #89751C22semidirect
115. C4⋊C4×Dic7C22semidirect
116. C4⋊C4×Dic7C22semidirect
117. C4⋊C4×Dic7C22semidirect
118. #89746C22semidirect
119. #89746C22semidirect
120. #89745C22semidirect
121. #89744C22semidirect
122. #89744C22semidirect
123. #89744C22semidirect
143. #89712C22semidirect
145. #89711C22semidirect
147. C4×(C2×D7)⋊C4C22semidirect
148. C42×Dic7C22semidirect
149. #89447C22semidirect
150. #89447C22semidirect
152. #89445C22semidirect
155. #89444C22semidirect
157. #89443C22semidirect
162. #89441C22semidirect
164. #89440C22semidirect
167. #89438C22semidirect
168. #89438C22semidirect
169. #89438C22semidirect
170. #89438C22semidirect
177. #89437C22semidirect
178. #89437C22semidirect
179. #89437C22semidirect
183. #89430C22semidirect
184. #89429C22semidirect
185. #89428C22semidirect
186. #89424C22semidirect
187. #89422C22semidirect
188. #89418C22semidirect
351. C4×D28D4semidirect
392. #2664D7semidirect
634. C2×#125C2×D7semidirect
671. #400C2×D7semidirect
675. #398C2×D7semidirect
676. #398C2×D7semidirect
677. #398C2×D7semidirect
718. #389C2×D7semidirect
719. #389C2×D7semidirect
772. C4×C4⋊C4C2×D7semidirect
1578. C7#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#903952
C2×#903832
C7×#26642
#117405492
#117405022
#117357922
#117356242
#117355522
#117354792
#117354032
#117354022
#117353932
#117352362
#117352162
#117351982
#117349622
#117349192
#117348662
#117348612
#117347642
#117347402
#117337312
#117337002
#117336412
#117334092
#117334022
#117333552
#117332712
D7×#3882
#117312612
C4×#64562
#350097