Finite Group Databasebeta

← #13560708

Subgroups — #13560708

Order 1792.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90253C211yesmaximal, characteristic, complemented
2C2×#90238C211yesmaximal, characteristic, complemented
3C7×#2535C211yesmaximal, characteristic, complemented
4#11740165C211yesmaximal, characteristic, complemented
5#11740163C211yesmaximal, characteristic, complemented
6#11740160C211yesmaximal, characteristic, complemented
7#11740159C211yesmaximal, characteristic, complemented
8#11739863C211yesmaximal, characteristic, complemented
9#11739863C211yesmaximal, characteristic, complemented
10#11735139C211yesmaximal, characteristic, complemented
11#11735134C211yesmaximal, characteristic, complemented
12#11735020C211yesmaximal, characteristic, complemented
13#11735018C211yesmaximal, characteristic, complemented
14#11734213C211yesmaximal, characteristic, complemented
15#11734213C211yesmaximal, characteristic, complemented
16#11734210C211yesmaximal, characteristic, complemented
17#11734160C211yesmaximal, characteristic, complemented
18#11732381C211yesmaximal, characteristic, complemented
19#11732380C211yesmaximal, characteristic, complemented
20#11732353C211yesmaximal, characteristic, complemented
21#11732352C211yesmaximal, characteristic, complemented
22#11732349C211yesmaximal, characteristic, complemented
23#11732347C211yesmaximal, characteristic, complemented
24#11732341C211yesmaximal, characteristic, complemented
25#11732145C211yesmaximal, characteristic, complemented
26#11731688C211yesmaximal, characteristic, complemented
27#11731671C211yesmaximal, characteristic, complemented
28#11731485C211yesmaximal, characteristic, complemented
29#11731483C211yesmaximal, characteristic, complemented
30#11731481C211yesmaximal, characteristic, complemented
31#11731480C211yesmaximal, characteristic, complemented
32C22×#1157C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic
36C2×C4×C7×D4C2211yescharacteristic
37C2×C4×C7×D4C2211yescharacteristic, complemented
38C2×#6503C2211yescharacteristic
39C2×#6503C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6501C2211yescharacteristic
43C2×#6501C2211yescharacteristic, complemented
44C2×#6501C2211yescharacteristic, complemented
45C2×#6500C2211yescharacteristic
46C2×#6500C2211yescharacteristic
47C2×#6500C2211yescharacteristic
48C2×#6493C2211yescharacteristic
49C2×#6493C2211yescharacteristic, complemented
50C2×#6492C2211yescharacteristic
51C2×#6492C2211yescharacteristic, complemented
52C2×C4×C22⋊D7C2211yescharacteristic
53C2×C4×C22⋊D7C2211yescharacteristic
54#90253—28no—
55#90238—28no—
56C2×#6459C2211yescharacteristic
57C2×#6458C2211yescharacteristic
58C2×#6457C2211yescharacteristic
59C2×#6453C2211yescharacteristic, complemented
60C2×#6448C2211yescharacteristic, complemented
61C2×#6447C2211yescharacteristic
62C2×#6447C2211yescharacteristic
63C2×#6447C2211yescharacteristic
64C2×#6447C2211yescharacteristic
65C2×#6447C2211yescharacteristic
66C2×#6447C2211yescharacteristic, complemented
67C2×#6446C2211yescharacteristic
68C2×#6446C2211yescharacteristic
69C2×#6446C2211yescharacteristic
70C2×#6446C2211yescharacteristic, complemented
71C2×#6445C2211yescharacteristic
72C2×#6445C2211yescharacteristic
73C2×#6441C2211yescharacteristic
74C2×C4×D28C2211yescharacteristic
75C2×#6435C2211yescharacteristic
76C2×#6435C2211yescharacteristic, complemented
77C7×#397C2211yescharacteristic
78C7×#397C2211yescharacteristic, complemented
79C7×#392C2211yescharacteristic
80C7×#392C2211yescharacteristic, complemented
81C7×#386C2211yescharacteristic
82C7×#386C2211yescharacteristic
83C7×#386C2211yescharacteristic, complemented
84C7×#386C2211yescharacteristic, complemented
85C7×#382C2211yescharacteristic, complemented
86C7×#380C2211yescharacteristic, complemented
87C7×#380C2211yescharacteristic, complemented
88#89995C2211yescharacteristic
89#89995C2211yescharacteristic
90#89995C2211yescharacteristic
91#89995C2211yescharacteristic
92#89995C2211yescharacteristic
93#89995C2211yescharacteristic
94#89995C2211yescharacteristic
95#89995C2211yescharacteristic, complemented
96#89995C2211yescharacteristic, complemented
97#89994C2211yescharacteristic
98#89994C2211yescharacteristic, complemented
99#89994C2211yescharacteristic, complemented
100#89993C2211yescharacteristic
101#89992C2211yescharacteristic
102#89985C2211yescharacteristic
103#89985C2211yescharacteristic
104#89985C2211yescharacteristic
105#89985C2211yescharacteristic, complemented
106#89982C2211yescharacteristic
107#89982C2211yescharacteristic, complemented
108#89982C2211yescharacteristic, complemented
109#89982C2211yescharacteristic, complemented
110#89766C2211yescharacteristic
111#89766C2211yescharacteristic, complemented
112#89764C2211yescharacteristic
113#89764C2211yescharacteristic, complemented
114#89763C2211yescharacteristic
115#89762C2211yescharacteristic
116#89762C2211yescharacteristic
117#89761C2211yescharacteristic, complemented
118#89761C2211yescharacteristic, complemented
119#89755C2211yescharacteristic, complemented
120#89754C2211yescharacteristic, complemented
121#89754C2211yescharacteristic, complemented
122#89733C2211yescharacteristic
123#89733C2211yescharacteristic
124#89733C2211yescharacteristic
125#89732C2211yescharacteristic
126#89732C2211yescharacteristic
127#89732C2211yescharacteristic, complemented
128#89731C2211yescharacteristic
129#89731C2211yescharacteristic
130#89731C2211yescharacteristic, complemented
131#89731C2211yescharacteristic, complemented
132#89731C2211yescharacteristic, complemented
133#89729C2211yescharacteristic
134#89728C2211yescharacteristic
135#89728C2211yescharacteristic
136#89728C2211yescharacteristic
137#89728C2211yescharacteristic
138#89728C2211yescharacteristic
139#89728C2211yescharacteristic, complemented
140#89728C2211yescharacteristic, complemented
141#89728C2211yescharacteristic, complemented
142#89727C2211yescharacteristic
143#89724C2211yescharacteristic
144#89723C2211yescharacteristic
145#89722C2211yescharacteristic
146#89721C2211yescharacteristic, complemented
147#89720C2211yescharacteristic, complemented
148#89720C2211yescharacteristic, complemented
149#89719C2211yescharacteristic, complemented
150#89716C2211yescharacteristic
151#89716C2211yescharacteristic, complemented
152#89716C2211yescharacteristic, complemented
153#89716C2211yescharacteristic, complemented
154#89716C2211yescharacteristic, complemented
155#89714C2211yescharacteristic
156#89709C2211yescharacteristic, complemented
157#89447C2211yescharacteristic
158#89446C2211yescharacteristic, complemented
159#89444C2211yescharacteristic
160#89443C2211yescharacteristic
161#89442C2211yescharacteristic
162#89442C2211yescharacteristic, complemented
163#89440C2211yescharacteristic
164#89440C2211yescharacteristic
165#89440C2211yescharacteristic, complemented
166#89439C2211yescharacteristic
167#89439C2211yescharacteristic
168#89438C2211yescharacteristic, complemented
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic, complemented
176#89436C2211yescharacteristic
177#89436C2211yescharacteristic
178D7×#95C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89429C2211yescharacteristic, complemented
182#89428C2211yescharacteristic, complemented
183#89425C2211yescharacteristic, complemented
184#89425C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89425C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36713—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C22×C22⋊D7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C2×#1157—24no—
217C2×#1157—42no—
218C2×#1157—42no—
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×D28C2311yescharacteristic
222C22×D28C2311yescharacteristic
223C22×D28C2311yescharacteristic
224C22×C4×D7—24no—
225C22×C4×D7—42no—
226C22×C4×D7—42no—
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×C4×D7C2311yescharacteristic
233C22×C4×D7C2311yescharacteristic
234C22×C4×D7C2311yescharacteristic
235C22×Dic14C2311yescharacteristic
236C7×#121—42no—
237C7×#121—42no—
238C4×C7×D4—24no—
239C4×C7×D4—24no—
240C2×C7×C4⋊C4C2311yescharacteristic
241C2×C7×C4⋊C4C2311yescharacteristic
242C2×C7×C4⋊C4C2311yescharacteristic
243C2×C7×C4⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C7×C22⋊C4C2311yescharacteristic
251C2×C7×C22⋊C4C2311yescharacteristic
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C7×C22⋊C4C2311yescharacteristic
254C2×C7×C22⋊C4C2311yescharacteristic
255C2×C7×C22⋊C4C2311yescharacteristic
256C2×C42×C7C2311yescharacteristic
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
273#6503—24no—
274#6503—42no—
275#6502—24no—
276#6502—42no—
277#6501—24no—
278#6501—42no—
279#6501—42no—
280#6500—24no—
281#6500—42no—
282#6500—42no—
283#6493—24no—
284#6493—24no—
285#6492—24no—
286#6492—24no—
287C4×C22⋊D7—24no—
288C4×C22⋊D7—24no—
289C2×(C2×D7)⋊C4C2311yescharacteristic
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×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×(C2×D7)⋊C4C2311yescharacteristic
304C2×(C2×D7)⋊C4C2311yescharacteristic
305C2×(C2×D7)⋊C4C2311yescharacteristic
306C2×(C2×D7)⋊C4C2311yescharacteristic
307C2×(C2×D7)⋊C4C2311yescharacteristic
308C2×(C2×D7)⋊C4C2311yescharacteristic
309C2×(C2×D7)⋊C4C2311yescharacteristic
310C2×(C2×D7)⋊C4C2311yescharacteristic
311C2×(C2×D7)⋊C4C2311yescharacteristic
312C2×(C2×D7)⋊C4C2311yescharacteristic
313C2×(C2×D7)⋊C4C2311yescharacteristic
314C2×(C2×D7)⋊C4C2311yescharacteristic
315C2×C4⋊Dic7C2311yescharacteristic
316C2×C4⋊Dic7C2311yescharacteristic
317C2×C4⋊Dic7C2311yescharacteristic
318C2×C4⋊Dic7C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
326C2×Dic7⋊C4C2311yescharacteristic
327C2×Dic7⋊C4C2311yescharacteristic
328C2×Dic7⋊C4C2311yescharacteristic
329C2×Dic7⋊C4C2311yescharacteristic
330C2×Dic7⋊C4C2311yescharacteristic
331C2×Dic7⋊C4C2311yescharacteristic
332C2×Dic7⋊C4C2311yescharacteristic
333C2×Dic7⋊C4C2311yescharacteristic
334C2×Dic7⋊C4C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338C2×C4×Dic7C2311yescharacteristic
339#6459—24no—
340#6458—24no—
341#6457—24no—
342#6453—24no—
343#6448—42no—
344#6447—24no—
345#6447—24no—
346#6447—24no—
347#6447—42no—
348#6447—42no—
349#6447—42no—
350#6446—24no—
351#6446—24no—
352#6446—24no—
353#6446—42no—
354#6445—24no—
355#6445—42no—
356#6441—24no—
357C4×D28D418yescomplemented
358#6435—24no—
359#6435—24no—
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
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#540—71no—
393C2×#525—71no—
394#2849—71no—
395#2847—71no—
396#2694—71no—
397#2693—71no—
398#2690—71no—
399#2688—71no—
400#2687—71no—
401#2678—71no—
402#2676—71no—
403#2675—71no—
404#2673—71no—
405#2673—71no—
406#2672—71no—
407#2671—71no—
408#2671—71no—
409#2669—71no—
410#2669—71no—
411#2668—71no—
412#2635—71no—
413#2630—71no—
414#2609—71no—
415#2602—71no—
416#2598—71no—
417#2598—71no—
418#2543—71no—
419#2535D711yescharacteristic, complemented
420#2431—71no—
421#2430—71no—
422#2318—71no—
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C23×D7—22no—
428C23×D7—22no—
429C23×D7—22no—
430C23×D7—41no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7—41no—
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C23×D7C2411yescharacteristic
437C23×D7C2411yescharacteristic
438C2×C7×D4—22no—
439C2×C7×D4—22no—
440C2×C7×D4—22no—
441C2×C7×D4—22no—
442C2×C7×D4—22no—
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—
451C2×C7×D4—41no—
452C2×C7×D4—41no—
453C2×C7×D4—41no—
454C2×C7×D4—41no—
455C2×C7×D4—41no—
456C22×C4×C7—22no—
457C22×C4×C7—22no—
458C22×C4×C7—22no—
459C22×C4×C7—22no—
460C22×C4×C7—41no—
461C22×C4×C7—41no—
462C22×C4×C7—41no—
463C22×C4×C7—41no—
464C22×C4×C7—41no—
465C22×C4×C7—41no—
466C22×C4×C7—41no—
467C22×C4×C7—41no—
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C22×C4×C7C2411yescharacteristic
475C22×C4×C7C2411yescharacteristic
476C22×C4×C7C2411yescharacteristic
477C22×C4×C7C2411yescharacteristic
478C22×C4×C7C2411yescharacteristic
479C2×C22⋊D7—22no—
480C2×C22⋊D7—22no—
481C2×C22⋊D7—22no—
482C2×C22⋊D7—22no—
483C2×C22⋊D7—22no—
484C2×C22⋊D7—22no—
485C2×C22⋊D7—22no—
486C2×C22⋊D7—22no—
487C2×C22⋊D7—22no—
488C2×C22⋊D7—22no—
489C2×C22⋊D7—22no—
490C2×C22⋊D7—22no—
491C2×C22⋊D7—22no—
492C2×C22⋊D7—22no—
493C2×C22⋊D7—22no—
494C2×C22⋊D7—22no—
495C2×C22⋊D7—41no—
496C2×C22⋊D7—41no—
497C2×C22⋊D7—41no—
498C2×C22⋊D7—41no—
499C2×C22⋊D7—41no—
500C2×C22⋊D7—41no—
501C2×C22⋊D7—41no—
502C2×C22⋊D7—41no—
503C2×C22⋊D7—41no—
504C2×C22⋊D7—41no—
505C2×C22⋊D7—41no—
506C2×C22⋊D7—41no—
507C2×C22⋊D7—41no—
508C2×C22⋊D7—41no—
509C2×C22⋊D7—41no—
510C2×C22⋊D7—41no—
511C2×C22⋊D7—41no—
512C2×C22⋊D7—41no—
513C2×C22⋊D7—41no—
514C2×C22⋊D7—41no—
515C2×C22⋊D7—41no—
516C2×C22⋊D7—41no—
517C2×C22⋊D7—41no—
518C2×C22⋊D7—41no—
519C2×C22⋊D7—41no—
520C2×C22⋊D7—41no—
521C22×Dic7—22no—
522C22×Dic7—22no—
523C22×Dic7—41no—
524C22×Dic7C2411yescharacteristic
525C22×Dic7C2411yescharacteristic
526C22×Dic7C2411yescharacteristic
527C22×Dic7C2411yescharacteristic
528C22×Dic7C2411yescharacteristic
529C22×Dic7C2411yescharacteristic
530C22×Dic7C2411yescharacteristic
531C22×Dic7C2411yescharacteristic
532C22×Dic7C2411yescharacteristic
533C22×Dic7C2411yescharacteristic
534C22×Dic7C2411yescharacteristic
535C22×Dic7C2411yescharacteristic
536#1157—416no—
537C2×D28—22no—
538C2×D28—22no—
539C2×D28—22no—
540C2×D28—22no—
541C2×D28—22no—
542C2×D28—41no—
543C2×D28—41no—
544C2×D28—41no—
545C2×D28—41no—
546C2×D28—41no—
547C2×D28—41no—
548C2×D28—41no—
549C2×D28—41no—
550C2×D28—41no—
551C2×D28C2×D414yes—
552C2×C4×D7—22no—
553C2×C4×D7—22no—
554C2×C4×D7—22no—
555C2×C4×D7—22no—
556C2×C4×D7—22no—
557C2×C4×D7—22no—
558C2×C4×D7—22no—
559C2×C4×D7—22no—
560C2×C4×D7—416no—
561C2×C4×D7—41no—
562C2×C4×D7—41no—
563C2×C4×D7—41no—
564C2×C4×D7—41no—
565C2×C4×D7—41no—
566C2×C4×D7—41no—
567C2×C4×D7—41no—
568C2×C4×D7—41no—
569C2×C4×D7—41no—
570C2×C4×D7—41no—
571C2×C4×D7—41no—
572C2×C4×D7—41no—
573C2×C4×D7—41no—
574C2×C4×D7—41no—
575C2×C4×D7C2×D414yes—
576C2×C4×D7C2×D414yes—
577C2×Dic14—22no—
578C2×Dic14—22no—
579C2×Dic14—41no—
580C7×C4⋊C4—22no—
581C7×C4⋊C4—22no—
582C7×C4⋊C4—41no—
583C7×C4⋊C4—41no—
584C7×C22⋊C4—22no—
585C7×C22⋊C4—22no—
586C7×C22⋊C4—22no—
587C7×C22⋊C4—22no—
588C7×C22⋊C4—22no—
589C7×C22⋊C4—22no—
590C7×C22⋊C4—41no—
591C7×C22⋊C4—41no—
592C7×C22⋊C4—41no—
593C7×C22⋊C4—41no—
594C7×C22⋊C4—41no—
595C7×C22⋊C4—41no—
596C42×C7C2×D414yes—
597C22⋊Dic7—22no—
598C22⋊Dic7—22no—
599C22⋊Dic7—22no—
600C22⋊Dic7—22no—
601C22⋊Dic7—22no—
602C22⋊Dic7—22no—
603C22⋊Dic7—22no—
604C22⋊Dic7—41no—
605C22⋊Dic7—41no—
606C22⋊Dic7—41no—
607C22⋊Dic7—41no—
608C22⋊Dic7—41no—
609C22⋊Dic7—41no—
610C22⋊Dic7—41no—
611C22⋊Dic7—41no—
612C22⋊Dic7—41no—
613(C2×D7)⋊C4—22no—
614(C2×D7)⋊C4—22no—
615(C2×D7)⋊C4—22no—
616(C2×D7)⋊C4—22no—
617(C2×D7)⋊C4—22no—
618(C2×D7)⋊C4—22no—
619(C2×D7)⋊C4—22no—
620(C2×D7)⋊C4—22no—
621(C2×D7)⋊C4—22no—
622(C2×D7)⋊C4—22no—
623(C2×D7)⋊C4—41no—
624(C2×D7)⋊C4—41no—
625(C2×D7)⋊C4—41no—
626(C2×D7)⋊C4—41no—
627(C2×D7)⋊C4—41no—
628(C2×D7)⋊C4—41no—
629(C2×D7)⋊C4—41no—
630(C2×D7)⋊C4—41no—
631(C2×D7)⋊C4—41no—
632(C2×D7)⋊C4—41no—
633(C2×D7)⋊C4—41no—
634(C2×D7)⋊C4—41no—
635(C2×D7)⋊C4—41no—
636(C2×D7)⋊C4—41no—
637(C2×D7)⋊C4C2×D414yes—
638(C2×D7)⋊C4C2×D414yes—
639C4⋊Dic7—22no—
640C4⋊Dic7—22no—
641C4⋊Dic7—22no—
642C4⋊Dic7—41no—
643C4⋊Dic7—41no—
644C4⋊Dic7C2×D414yes—
645Dic7⋊C4—22no—
646Dic7⋊C4—22no—
647Dic7⋊C4—22no—
648Dic7⋊C4—22no—
649Dic7⋊C4—22no—
650Dic7⋊C4—22no—
651Dic7⋊C4—22no—
652Dic7⋊C4—22no—
653Dic7⋊C4—41no—
654Dic7⋊C4—41no—
655Dic7⋊C4—41no—
656Dic7⋊C4—41no—
657Dic7⋊C4—41no—
658Dic7⋊C4—41no—
659C4×Dic7—22no—
660C4×Dic7—22no—
661C4×Dic7—41no—
662C4×Dic7—41no—
663C22×#41—71no—
664C24×C4—71no—
665#540—148no—
666C2×#127—71no—
667C2×#127—71no—
668C2×#125—71no—
669C2×#124—71no—
670#525—148no—
671C2×#123—71no—
672C2×#123—71no—
673C2×#123—71no—
674C2×#123—71no—
675C2×#123—71no—
676C2×#123—71no—
677C2×#123—71no—
678C2×C22⋊Q8—71no—
679C2×C22⋊Q8—71no—
680C2×#121—71no—
681C2×#121—71no—
682C2×#121—71no—
683C2×#121—71no—
684C2×#121—71no—
685C2×#121—71no—
686C2×#121—71no—
687C2×#121—71no—
688C2×#121—71no—
689C2×#121—71no—
690C2×#121—71no—
691C2×#121—71no—
692C2×#121—71no—
693C2×#121—71no—
694C2×#121C2×D711yescharacteristic
695C2×#121C2×D711yescharacteristic
696C2×#120—71no—
697C2×#120—71no—
698C2×#120—71no—
699C2×#120—71no—
700C2×#120—71no—
701C2×C4×D4—71no—
702C2×C4×D4—71no—
703C2×C4×D4—71no—
704C2×C4×D4C2×D711yescharacteristic
705C2×C4×D4C2×D711yescharacteristic, complemented
706C2×#117—71no—
707C2×#117—71no—
708#400—71no—
709#400—71no—
710#400—71no—
711#399—71no—
712#399—71no—
713#399—71no—
714#398—71no—
715#398—71no—
716#398—71no—
717#397—71no—
718#397—71no—
719#397—71no—
720#397C2×D711yescharacteristic
721#397C2×D711yescharacteristic, complemented
722#396—71no—
723#396—71no—
724#396—71no—
725#396—71no—
726#395—71no—
727#394—71no—
728#394—71no—
729#394—71no—
730#394—71no—
731#394—71no—
732#394—71no—
733#394—71no—
734#394—71no—
735#394—71no—
736#394—71no—
737#394—71no—
738#394—71no—
739#394—71no—
740#393—71no—
741#392—71no—
742#392—71no—
743#392—71no—
744#392—71no—
745#392—71no—
746#392—71no—
747#392—71no—
748#392—71no—
749#392—71no—
750#392—71no—
751#392—71no—
752#392—71no—
753#392—71no—
754#392C2×D711yescharacteristic
755#392C2×D711yescharacteristic, complemented
756#391—71no—
757#390—71no—
758#390—71no—
759#389—71no—
760#388—71no—
761#388—71no—
762#388—71no—
763#388—71no—
764#388—71no—
765#388—71no—
766#388—71no—
767#388—71no—
768#388—71no—
769#388—71no—
770#387—71no—
771#387—71no—
772#387—71no—
773#387—71no—
774#386—71no—
775#386—71no—
776#386—71no—
777#386—71no—
778#386—71no—
779#386—71no—
780#386—71no—
781#386—71no—
782#386—71no—
783#386—71no—
784#386—71no—
785#386—71no—
786#386—71no—
787#386—71no—
788#386—71no—
789#386—71no—
790#386—71no—
791#386—71no—
792#386—71no—
793#386—71no—
794#386C2×D711yescharacteristic
795#386C2×D711yescharacteristic
796#386C2×D711yescharacteristic, complemented
797#386C2×D711yescharacteristic, complemented
798#385—71no—
799#385—71no—
800#385—71no—
801#385—71no—
802#385—71no—
803#385—71no—
804#385—71no—
805#385—71no—
806#385—71no—
807#385—71no—
808#383—71no—
809#382C2×D711yescharacteristic, complemented
810#381—71no—
811#381—71no—
812#380—71no—
813#380—71no—
814#380—71no—
815#380C2×D711yescharacteristic, complemented
816#380C2×D711yescharacteristic, complemented
817#379—71no—
818C4×C22⋊C4—71no—
819C2×#95—71no—
820C23×C7—21no—
821C23×C7—21no—
822C23×C7—21no—
823C23×C7—21no—
824C23×C7—21no—
825C23×C7—21no—
826C23×C7—21no—
827C23×C7—21no—
828C23×C7—21no—
829C23×C7—21no—
830C23×C7—21no—
831C23×C7—21no—
832C23×C7—21no—
833C23×C7—21no—
834C23×C7—21no—
835C23×C7—21no—
836C23×C7—21no—
837C23×C7—21no—
838C23×C7—21no—
839C23×C7—21no—
840C23×C7—21no—
841C23×C7—21no—
842C23×C7—21no—
843C23×C7—21no—
844C23×C7—21no—
845C23×C7—21no—
846C23×C7—21no—
847C23×C7H(5,𝔽2)12yes—
848C23×C7C2511yescharacteristic
849C22×D7—21no—
850C22×D7—21no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
855C22×D7—21no—
856C22×D7—21no—
857C22×D7—21no—
858C22×D7—21no—
859C22×D7—21no—
860C22×D7—21no—
861C22×D7—21no—
862C22×D7—21no—
863C22×D7—21no—
864C22×D7—21no—
865C22×D7—21no—
866C22×D7—21no—
867C22×D7—21no—
868C22×D7—21no—
869C22×D7—21no—
870C22×D7—21no—
871C22×D7—21no—
872C22×D7—21no—
873C22×D7—21no—
874C22×D7—44no—
875C22×D7—44no—
876C22×D7—44no—
877C22×D7—44no—
878C22×D7—44no—
879C22×D7—44no—
880C22×D7—44no—
881C22×D7C22×D412yes—
882C22×D7C22×D412yes—
883C22×D7H(5,𝔽2)12yes—
884C7×D4—44no—
885C7×D4—44no—
886C7×D4—82no—
887C7×D4—82no—
888C7×D4—82no—
889C7×D4—82no—
890C2×C4×C7—21no—
891C2×C4×C7—21no—
892C2×C4×C7—21no—
893C2×C4×C7—21no—
894C2×C4×C7—21no—
895C2×C4×C7—21no—
896C2×C4×C7—21no—
897C2×C4×C7—21no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—21no—
901C2×C4×C7—21no—
902C2×C4×C7—21no—
903C2×C4×C7—21no—
904C2×C4×C7—21no—
905C2×C4×C7—21no—
906C2×C4×C7—21no—
907C2×C4×C7—21no—
908C2×C4×C7—21no—
909C2×C4×C7—21no—
910C2×C4×C7—21no—
911C2×C4×C7—21no—
912C2×C4×C7—21no—
913C2×C4×C7—21no—
914C2×C4×C7—21no—
915C2×C4×C7—21no—
916C2×C4×C7—21no—
917C2×C4×C7—21no—
918C2×C4×C7—21no—
919C2×C4×C7—21no—
920C2×C4×C7—44no—
921C2×C4×C7—44no—
922C2×C4×C7—82no—
923C2×C4×C7—82no—
924C2×C4×C7C22×D412yes—
925C2×C4×C7C22×D412yes—
926C2×C4×C7C22×D412yes—
927C22⋊D7—44no—
928C22⋊D7—44no—
929C22⋊D7—44no—
930C22⋊D7—44no—
931C22⋊D7—82no—
932C22⋊D7—82no—
933C22⋊D7—82no—
934C22⋊D7—82no—
935C22⋊D7—82no—
936C22⋊D7—82no—
937C22⋊D7—82no—
938C22⋊D7—82no—
939C22⋊D7—82no—
940C22⋊D7—82no—
941C2×Dic7—21no—
942C2×Dic7—21no—
943C2×Dic7—21no—
944C2×Dic7—21no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—21no—
963C2×Dic7—21no—
964C2×Dic7—21no—
965C2×Dic7—21no—
966C2×Dic7—21no—
967C2×Dic7—21no—
968C2×Dic7—21no—
969C2×Dic7—21no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—21no—
973C2×Dic7—21no—
974C2×Dic7—44no—
975C2×Dic7C22×D412yes—
976C2×Dic7C22×D412yes—
977C2×Dic7H(5,𝔽2)12yes—
978D28—44no—
979D28—44no—
980D28—82no—
981D28—82no—
982D28—82no—
983C4×D7—28no—
984C4×D7—44no—
985C4×D7—44no—
986C4×D7—44no—
987C4×D7—44no—
988C4×D7—44no—
989C4×D7—82no—
990C4×D7—82no—
991Dic14—44no—
992C25—71no—
993C2×#41—144no—
994C2×#41—282no—
995C2×#41—282no—
996C22×Q8—71no—
997C22×D4—71no—
998C22×D4—71no—
999C22×D4—71no—
1000C22×D4—71no—
1001C22×D4—71no—
1002C22×D4—71no—
1003C22×D4—71no—
1004C22×D4—71no—
1005C22×D4—71no—
1006C22×D4—71no—
1007C22×D4—71no—
1008C22×D4—71no—
1009C22×D4—71no—
1010C22×D4—71no—
1011C22×D4—71no—
1012C22×D4—71no—
1013C22×D4—71no—
1014C22×D4—71no—
1015C22×D4—71no—
1016C22×D4C22×D711yescharacteristic
1017C22×D4C22×D711yescharacteristic
1018C22×D4C22×D711yescharacteristic
1019C22×D4C22×D711yescharacteristic
1020C22×D4C22×D711yescharacteristic
1021C22×D4C22×D711yescharacteristic
1022C23×C4—71no—
1023C23×C4—71no—
1024C23×C4—71no—
1025C23×C4—71no—
1026C23×C4—71no—
1027C23×C4—71no—
1028C23×C4—71no—
1029C23×C4—71no—
1030C23×C4—71no—
1031C23×C4—144no—
1032C23×C4—282no—
1033C23×C4—282no—
1034C23×C4C22×D711yescharacteristic
1035C23×C4C22×D711yescharacteristic
1036C23×C4C22×D711yescharacteristic
1037C23×C4C22×D711yescharacteristic
1038#127—144no—
1039#127—282no—
1040#125—144no—
1041#124—282no—
1042#123—144no—
1043#123—144no—
1044#123—144no—
1045#123—144no—
1046#123—144no—
1047#123—144no—
1048#123—282no—
1049C22⋊Q8—144no—
1050C22⋊Q8—144no—
1051#121—42no—
1052#121—42no—
1053#121—144no—
1054#121—144no—
1055#121—144no—
1056#121—144no—
1057#121—144no—
1058#121—144no—
1059#121—144no—
1060#121—144no—
1061#121—282no—
1062#121—282no—
1063#121—282no—
1064#121—282no—
1065#121—282no—
1066#121—282no—
1067#120—144no—
1068#120—144no—
1069#120—282no—
1070#120—282no—
1071#120—282no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—78no—
1075C4×D4—144no—
1076C4×D4—144no—
1077#117—144no—
1078#117—144no—
1079C2×C4⋊C4—71no—
1080C2×C4⋊C4—71no—
1081C2×C4⋊C4—71no—
1082C2×C4⋊C4—71no—
1083C2×C4⋊C4—71no—
1084C2×C4⋊C4—71no—
1085C2×C4⋊C4—71no—
1086C2×C4⋊C4—71no—
1087C2×C4⋊C4—71no—
1088C2×C4⋊C4—71no—
1089C2×C4⋊C4—71no—
1090C2×C4⋊C4—71no—
1091C2×C4⋊C4—71no—
1092C2×C4⋊C4—71no—
1093C2×C4⋊C4—71no—
1094C2×C4⋊C4—71no—
1095C2×C4⋊C4—71no—
1096C2×C4⋊C4—71no—
1097C2×C4⋊C4—71no—
1098C2×C4⋊C4—71no—
1099C2×C4⋊C4C22×D711yescharacteristic
1100C2×C4⋊C4C22×D711yescharacteristic
1101C2×C4⋊C4C22×D711yescharacteristic
1102C2×C4⋊C4C22×D711yescharacteristic
1103C2×C22⋊C4—71no—
1104C2×C22⋊C4—71no—
1105C2×C22⋊C4—71no—
1106C2×C22⋊C4—71no—
1107C2×C22⋊C4—71no—
1108C2×C22⋊C4—71no—
1109C2×C22⋊C4—71no—
1110C2×C22⋊C4—71no—
1111C2×C22⋊C4—71no—
1112C2×C22⋊C4—71no—
1113C2×C22⋊C4—71no—
1114C2×C22⋊C4—71no—
1115C2×C22⋊C4—71no—
1116C2×C22⋊C4—71no—
1117C2×C22⋊C4—71no—
1118C2×C22⋊C4—71no—
1119C2×C22⋊C4—71no—
1120C2×C22⋊C4—71no—
1121C2×C22⋊C4—71no—
1122C2×C22⋊C4—71no—
1123C2×C22⋊C4—71no—
1124C2×C22⋊C4—71no—
1125C2×C22⋊C4—71no—
1126C2×C22⋊C4—71no—
1127C2×C22⋊C4—71no—
1128C2×C22⋊C4—71no—
1129C2×C22⋊C4—71no—
1130C2×C22⋊C4—71no—
1131C2×C22⋊C4—71no—
1132C2×C22⋊C4—71no—
1133C2×C22⋊C4—71no—
1134C2×C22⋊C4—71no—
1135C2×C22⋊C4—71no—
1136C2×C22⋊C4—71no—
1137C2×C22⋊C4—71no—
1138C2×C22⋊C4—71no—
1139C2×C22⋊C4—71no—
1140C2×C22⋊C4—71no—
1141C2×C22⋊C4—71no—
1142C2×C22⋊C4—71no—
1143C2×C22⋊C4—71no—
1144C2×C22⋊C4—71no—
1145C2×C22⋊C4C22×D711yescharacteristic
1146C2×C22⋊C4C22×D711yescharacteristic
1147C2×C22⋊C4C22×D711yescharacteristic
1148C2×C22⋊C4C22×D711yescharacteristic
1149C2×C22⋊C4C22×D711yescharacteristic
1150C2×C22⋊C4C22×D711yescharacteristic
1151C2×C22⋊C4C22×D711yescharacteristic
1152C2×C22⋊C4C22×D711yescharacteristic
1153C2×C22⋊C4C22×D711yescharacteristic
1154C2×C22⋊C4C22×D711yescharacteristic
1155C2×C22⋊C4C22×D711yescharacteristic
1156C2×C22⋊C4C22×D711yescharacteristic
1157C2×C42—71no—
1158C2×C42—71no—
1159C2×C42—71no—
1160C2×C42—71no—
1161C2×C42C22×D711yescharacteristic
1162#95—71no—
1163#95—71no—
1164#95—71no—
1165#95—71no—
1166#95—71no—
1167#95—71no—
1168#95—71no—
1169#95—71no—
1170#95—71no—
1171#95—71no—
1172#95—71no—
1173#95—71no—
1174#95—71no—
1175#95—71no—
1176#95—71no—
1177#95—71no—
1178#95—71no—
1179#95—71no—
1180#95—71no—
1181#95—71no—
1182#95—71no—
1183#95—71no—
1184#95—71no—
1185#95—71no—
1186#95C22×D711yescharacteristic
1187#95C22×D711yescharacteristic
1188#95C22×D711yescharacteristic
1189#95C22×D711yescharacteristic
1190#95C22×D711yescharacteristic
1191#95C22×D711yescharacteristic
1192#95C22×D711yescharacteristic
1193#95C22×D711yescharacteristic
1194C22×C7—22no—
1195C22×C7—22no—
1196C22×C7—22no—
1197C22×C7—41no—
1198C22×C7—41no—
1199C22×C7—41no—
1200C22×C7—41no—
1201C22×C7—41no—
1202C22×C7—41no—
1203C22×C7—41no—
1204C22×C7—41no—
1205C22×C7—41no—
1206C22×C7—41no—
1207C22×C7—41no—
1208C22×C7—41no—
1209C22×C7—41no—
1210C22×C7—41no—
1211C22×C7—41no—
1212C22×C7—41no—
1213C22×C7—41no—
1214C22×C7—41no—
1215C22×C7—41no—
1216C22×C7—41no—
1217C22×C7—41no—
1218C22×C7—41no—
1219C22×C7—41no—
1220C22×C7—41no—
1221C22×C7—41no—
1222C22×C7C23×D411yescharacteristic
1223C22×C7C2×H(5,𝔽2)11yescharacteristic
1224C22×C7C2×H(5,𝔽2)11yescharacteristic
1225C22×C7C2×H(5,𝔽2)11yescharacteristic
1226C22×C7#58511yescharacteristic
1227C22×C7#58511yescharacteristic
1228C22×C7#58511yescharacteristic
1229C2×D7—22no—
1230C2×D7—22no—
1231C2×D7—22no—
1232C2×D7—22no—
1233C2×D7—22no—
1234C2×D7—22no—
1235C2×D7—22no—
1236C2×D7—22no—
1237C2×D7—22no—
1238C2×D7—416no—
1239C2×D7—41no—
1240C2×D7—41no—
1241C2×D7—41no—
1242C2×D7—41no—
1243C2×D7—41no—
1244C2×D7—41no—
1245C2×D7—41no—
1246C2×D7—41no—
1247C2×D7—41no—
1248C2×D7—41no—
1249C2×D7—41no—
1250C2×D7—41no—
1251C2×D7—41no—
1252C2×D7—41no—
1253C2×D7—41no—
1254C2×D7—41no—
1255C2×D7—41no—
1256C2×D7—41no—
1257C2×D7—41no—
1258C4×C7—22no—
1259C4×C7—22no—
1260C4×C7—22no—
1261C4×C7—41no—
1262C4×C7—41no—
1263C4×C7—41no—
1264C4×C7—41no—
1265C4×C7—41no—
1266C4×C7—41no—
1267C4×C7—41no—
1268C4×C7—41no—
1269Dic7—22no—
1270Dic7—22no—
1271Dic7—22no—
1272Dic7—41no—
1273Dic7—41no—
1274Dic7—41no—
1275Dic7—41no—
1276Dic7—41no—
1277Dic7—41no—
1278Dic7—41no—
1279Dic7—41no—
1280Dic7—41no—
1281C24—71no—
1282C24—71no—
1283C24—71no—
1284C24—71no—
1285C24—142no—
1286C24—142no—
1287C24—142no—
1288C24—281no—
1289C24—281no—
1290C24—281no—
1291C24—281no—
1292C24C23×D711yescharacteristic
1293C24C23×D711yescharacteristic
1294C24C23×D711yescharacteristic
1295C24C23×D711yescharacteristic
1296#41—2816no—
1297C2×Q8—142no—
1298C2×Q8—142no—
1299C2×Q8—281no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—74no—
1319C2×D4—142no—
1320C2×D4—142no—
1321C2×D4—142no—
1322C2×D4—142no—
1323C2×D4—142no—
1324C2×D4—142no—
1325C2×D4—142no—
1326C2×D4—142no—
1327C2×D4—142no—
1328C2×D4—142no—
1329C2×D4—142no—
1330C2×D4—142no—
1331C2×D4—142no—
1332C2×D4—142no—
1333C2×D4—142no—
1334C2×D4—142no—
1335C2×D4—142no—
1336C2×D4—142no—
1337C2×D4—142no—
1338C2×D4—142no—
1339C2×D4—142no—
1340C2×D4—281no—
1341C2×D4—281no—
1342C2×D4—281no—
1343C2×D4—281no—
1344C2×D4—281no—
1345C2×D4—281no—
1346C2×D4—281no—
1347C2×D4—281no—
1348C2×D4—281no—
1349C2×D4—281no—
1350C2×D4—281no—
1351C2×D4—281no—
1352C2×D4—281no—
1353C2×D4—281no—
1354C2×D4—281no—
1355C2×D4—281no—
1356C2×D4—281no—
1357C2×D4—281no—
1358C2×D4—281no—
1359C2×D4—281no—
1360C2×D4—281no—
1361C2×D4—281no—
1362C2×D4—281no—
1363C2×D4—281no—
1364C2×D4—281no—
1365C2×D4—281no—
1366C2×D4—281no—
1367C2×D4—281no—
1368C2×D4—281no—
1369C2×D4—281no—
1370C2×D4—281no—
1371C2×D4—281no—
1372C2×D4—281no—
1373C2×D4—281no—
1374C2×D4—281no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—71no—
1388C22×C4—71no—
1389C22×C4—71no—
1390C22×C4—74no—
1391C22×C4—74no—
1392C22×C4—71no—
1393C22×C4—71no—
1394C22×C4—71no—
1395C22×C4—71no—
1396C22×C4—71no—
1397C22×C4—71no—
1398C22×C4—71no—
1399C22×C4—71no—
1400C22×C4—71no—
1401C22×C4—142no—
1402C22×C4—142no—
1403C22×C4—142no—
1404C22×C4—142no—
1405C22×C4—142no—
1406C22×C4—142no—
1407C22×C4—142no—
1408C22×C4—142no—
1409C22×C4—142no—
1410C22×C4—142no—
1411C22×C4—281no—
1412C22×C4—281no—
1413C22×C4—281no—
1414C22×C4—281no—
1415C22×C4—281no—
1416C22×C4—281no—
1417C22×C4—281no—
1418C22×C4—281no—
1419C22×C4—281no—
1420C22×C4—281no—
1421C22×C4—281no—
1422C22×C4—281no—
1423C22×C4—281no—
1424C22×C4—281no—
1425C22×C4—2816no—
1426C22×C4—281no—
1427C22×C4C23×D711yescharacteristic
1428C22×C4C23×D711yescharacteristic
1429C22×C4C23×D711yescharacteristic
1430C22×C4C23×D711yescharacteristic
1431C22×C4C23×D711yescharacteristic
1432C22×C4C23×D711yescharacteristic
1433C22×C4C23×D711yescharacteristic
1434C22×C4C23×D711yescharacteristic
1435C22×C4C23×D711yescharacteristic
1436C22×C4C23×D711yescharacteristic
1437C22×C4C23×D711yescharacteristic
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—74no—
1443C4⋊C4—142no—
1444C4⋊C4—142no—
1445C4⋊C4—142no—
1446C4⋊C4—142no—
1447C4⋊C4—142no—
1448C4⋊C4—142no—
1449C4⋊C4—142no—
1450C4⋊C4—142no—
1451C4⋊C4—142no—
1452C4⋊C4—142no—
1453C4⋊C4—142no—
1454C4⋊C4—281no—
1455C4⋊C4—281no—
1456C4⋊C4—281no—
1457C4⋊C4—281no—
1458C4⋊C4—281no—
1459C4⋊C4—281no—
1460C4⋊C4—281no—
1461C4⋊C4—281no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—74no—
1475C22⋊C4—74no—
1476C22⋊C4—142no—
1477C22⋊C4—142no—
1478C22⋊C4—142no—
1479C22⋊C4—142no—
1480C22⋊C4—142no—
1481C22⋊C4—142no—
1482C22⋊C4—142no—
1483C22⋊C4—142no—
1484C22⋊C4—142no—
1485C22⋊C4—142no—
1486C22⋊C4—142no—
1487C22⋊C4—142no—
1488C22⋊C4—142no—
1489C22⋊C4—142no—
1490C22⋊C4—142no—
1491C22⋊C4—142no—
1492C22⋊C4—142no—
1493C22⋊C4—281no—
1494C22⋊C4—281no—
1495C22⋊C4—281no—
1496C22⋊C4—281no—
1497C22⋊C4—281no—
1498C22⋊C4—281no—
1499C22⋊C4—281no—
1500C22⋊C4—281no—
1501C22⋊C4—281no—
1502C22⋊C4—281no—
1503C22⋊C4—281no—
1504C22⋊C4—281no—
1505C22⋊C4—281no—
1506C22⋊C4—281no—
1507C22⋊C4—281no—
1508C22⋊C4—281no—
1509C22⋊C4—281no—
1510C22⋊C4—281no—
1511C22⋊C4—281no—
1512C22⋊C4—281no—
1513C22⋊C4—281no—
1514C22⋊C4—281no—
1515C22⋊C4—281no—
1516C42—142no—
1517C42—142no—
1518C42—281no—
1519C42—281no—
1520C42D4×D714yes—
1521C2×C7—42no—
1522C2×C7—81no—
1523C2×C7—81no—
1524C2×C7—81no—
1525C2×C7#344911yescharacteristic
1526C2×C7#348411yescharacteristic
1527C2×C7#348811yescharacteristic
1528C2×C7#353311yescharacteristic
1529C2×C7#353411yescharacteristic
1530C2×C7#353911yescharacteristic
1531C2×C7#354211yescharacteristic
1532D7—42no—
1533D7—42no—
1534D7—42no—
1535D7—81no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—72no—
1564C23—72no—
1565C23—72no—
1566C23—141no—
1567C23—141no—
1568C23—141no—
1569C23—141no—
1570C23—141no—
1571C23—141no—
1572C23—141no—
1573C23—141no—
1574C23—141no—
1575C23—141no—
1576C23—141no—
1577C23—141no—
1578C23—141no—
1579C23—141no—
1580C23—141no—
1581C23—141no—
1582C23—141no—
1583C23—141no—
1584C23—141no—
1585C23—141no—
1586C23—141no—
1587C23—141no—
1588C23—141no—
1589C23—141no—
1590C23—141no—
1591C23—284no—
1592C23—284no—
1593C23—284no—
1594C23—284no—
1595C23—284no—
1596C23—284no—
1597C23—284no—
1598C23#654812yes—
1599C23C24×D711yescharacteristic
1600Q8—284no—
1601D4—44no—
1602D4—44no—
1603D4—82no—
1604D4—82no—
1605D4—82no—
1606D4—82no—
1607D4—284no—
1608D4—284no—
1609D4—284no—
1610D4—284no—
1611D4—284no—
1612D4—284no—
1613D4—562no—
1614D4—562no—
1615D4—562no—
1616D4—562no—
1617D4—562no—
1618D4—562no—
1619D4—562no—
1620D4—562no—
1621D4—562no—
1622D4—562no—
1623D4—562no—
1624D4—562no—
1625D4—562no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—72no—
1659C2×C4—72no—
1660C2×C4—72no—
1661C2×C4—82no—
1662C2×C4—82no—
1663C2×C4—148no—
1664C2×C4—141no—
1665C2×C4—141no—
1666C2×C4—141no—
1667C2×C4—141no—
1668C2×C4—141no—
1669C2×C4—141no—
1670C2×C4—141no—
1671C2×C4—141no—
1672C2×C4—141no—
1673C2×C4—141no—
1674C2×C4—141no—
1675C2×C4—141no—
1676C2×C4—141no—
1677C2×C4—141no—
1678C2×C4—141no—
1679C2×C4—141no—
1680C2×C4—141no—
1681C2×C4—141no—
1682C2×C4—141no—
1683C2×C4—141no—
1684C2×C4—141no—
1685C2×C4—141no—
1686C2×C4—141no—
1687C2×C4—141no—
1688C2×C4—141no—
1689C2×C4—141no—
1690C2×C4—141no—
1691C2×C4—141no—
1692C2×C4—141no—
1693C2×C4—141no—
1694C2×C4—141no—
1695C2×C4—141no—
1696C2×C4—141no—
1697C2×C4—284no—
1698C2×C4—284no—
1699C2×C4—284no—
1700C2×C4—284no—
1701C2×C4—284no—
1702C2×C4—284no—
1703C2×C4—562no—
1704C2×C4—562no—
1705C2×C4C2×D4×D712yes—
1706C2×C4C2×D4×D712yes—
1707C2×C4C2×D4×D712yes—
1708C7#3671311yescharacteristic, complemented, Sylow
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—142no—
1738C22—142no—
1739C22—142no—
1740C22—142no—
1741C22—142no—
1742C22—142no—
1743C22—142no—
1744C22—142no—
1745C22—142no—
1746C22—2816no—
1747C22—281no—
1748C22—281no—
1749C22—281no—
1750C22—281no—
1751C22—281no—
1752C22—281no—
1753C22—281no—
1754C22—281no—
1755C22—281no—
1756C22—281no—
1757C22—281no—
1758C22—281no—
1759C22—281no—
1760C22—281no—
1761C22—281no—
1762C22—281no—
1763C22—281no—
1764C22—281no—
1765C22—281no—
1766C22C22×D4×D711yescharacteristic
1767C22C2×#654811yescharacteristic
1768C22#9061611yescharacteristic
1769C22#9061611yescharacteristic
1770C22#9061611yescharacteristic
1771C22D7×H(5,𝔽2)11yescharacteristic
1772C22D7×H(5,𝔽2)11yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—142no—
1785C4—142no—
1786C4—142no—
1787C4—281no—
1788C4—281no—
1789C4—281no—
1790C4—281no—
1791C4—281no—
1792C4—281no—
1793C4—281no—
1794C4—281no—
1795C4—281no—
1796C2—42no—
1797C2—81no—
1798C2—81no—
1799C2—81no—
1800C2—282no—
1801C2—282no—
1802C2—282no—
1803C2—561no—
1804C2#1174301711yescharacteristic
1805C2#1174310311yescharacteristic
1806C2#1174339811yescharacteristic
1807C2#1174371811yescharacteristic
1808C2#1174373711yescharacteristic
1809C2#1174396011yescharacteristic
1810C2#1174398211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2535C2
hypercenter#2535D7
hypocenterC7#36713
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2535

Complements

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

NH ≅ G/Ntype
1. C2×#90253C2semidirect
2. C2×#90238C2semidirect
3. C7×#2535C2semidirect
4. #11740165C2semidirect
5. #11740163C2semidirect
6. #11740160C2semidirect
7. #11740159C2semidirect
8. #11739863C2semidirect
9. #11739863C2semidirect
10. #11735139C2semidirect
11. #11735134C2semidirect
12. #11735020C2semidirect
13. #11735018C2semidirect
14. #11734213C2semidirect
15. #11734213C2semidirect
16. #11734210C2semidirect
17. #11734160C2semidirect
18. #11732381C2semidirect
19. #11732380C2semidirect
20. #11732353C2semidirect
21. #11732352C2semidirect
22. #11732349C2semidirect
23. #11732347C2semidirect
24. #11732341C2semidirect
25. #11732145C2semidirect
26. #11731688C2semidirect
27. #11731671C2semidirect
28. #11731485C2semidirect
29. #11731483C2semidirect
30. #11731481C2semidirect
31. #11731480C2semidirect
37. C2×C4×C7×D4C22semidirect
43. C2×#6501C22semidirect
44. C2×#6501C22semidirect
49. C2×#6493C22semidirect
51. C2×#6492C22semidirect
59. C2×#6453C22semidirect
60. C2×#6448C22semidirect
66. C2×#6447C22semidirect
70. C2×#6446C22semidirect
76. C2×#6435C22semidirect
78. C7×#397C22semidirect
80. C7×#392C22semidirect
83. C7×#386C22semidirect
84. C7×#386C22semidirect
85. C7×#382C22semidirect
86. C7×#380C22semidirect
87. C7×#380C22semidirect
95. #89995C22semidirect
96. #89995C22semidirect
98. #89994C22semidirect
99. #89994C22semidirect
105. #89985C22semidirect
107. #89982C22semidirect
108. #89982C22semidirect
109. #89982C22semidirect
111. #89766C22semidirect
113. #89764C22semidirect
117. #89761C22semidirect
118. #89761C22semidirect
119. #89755C22semidirect
120. #89754C22semidirect
121. #89754C22semidirect
127. #89732C22semidirect
130. #89731C22semidirect
131. #89731C22semidirect
132. #89731C22semidirect
139. #89728C22semidirect
140. #89728C22semidirect
141. #89728C22semidirect
146. #89721C22semidirect
147. #89720C22semidirect
148. #89720C22semidirect
149. #89719C22semidirect
151. #89716C22semidirect
152. #89716C22semidirect
153. #89716C22semidirect
154. #89716C22semidirect
156. #89709C22semidirect
158. #89446C22semidirect
162. #89442C22semidirect
165. #89440C22semidirect
168. #89438C22semidirect
175. #89437C22semidirect
178. D7×#95C22semidirect
179. #89430C22semidirect
180. #89429C22semidirect
181. #89429C22semidirect
182. #89428C22semidirect
183. #89425C22semidirect
184. #89425C22semidirect
185. #89425C22semidirect
186. #89425C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
357. C4×D28D4semidirect
419. #2535D7semidirect
705. C2×C4×D4C2×D7semidirect
721. #397C2×D7semidirect
755. #392C2×D7semidirect
796. #386C2×D7semidirect
797. #386C2×D7semidirect
809. #382C2×D7semidirect
815. #380C2×D7semidirect
816. #380C2×D7semidirect
1708. C7#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#902532
C2×#902382
C7×#25352
#117401652
#117401632
#117401602
#117401592
#117398632
#117351392
#117351342
#117350202
#117350182
#117342132
#117342102
#117341602
#117323812
#117323802
#117323532
#117323522
#117323492
#117323472
#117323412
#117321452
#117316882
#117316712
#117314852
#117314832
#117314812
#117314802
#367137