Finite Group Databasebeta

← #13561322

Subgroups — #13561322

Order 1792.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90348C211yesmaximal, characteristic, complemented
2C2×#90310C211yesmaximal, characteristic, complemented
3C7×#2673C211yesmaximal, characteristic, complemented
4#11740637C211yesmaximal, characteristic, complemented
5#11740635C211yesmaximal, characteristic, complemented
6#11740321C211yesmaximal, characteristic, complemented
7#11740163C211yesmaximal, characteristic, complemented
8#11740148C211yesmaximal, characteristic, complemented
9#11740141C211yesmaximal, characteristic, complemented
10#11734584C211yesmaximal, characteristic, complemented
11#11734554C211yesmaximal, characteristic, complemented
12#11734446C211yesmaximal, characteristic, complemented
13#11734440C211yesmaximal, characteristic, complemented
14#11734217C211yesmaximal, characteristic, complemented
15#11734213C211yesmaximal, characteristic, complemented
16#11734210C211yesmaximal, characteristic, complemented
17#11734203C211yesmaximal, characteristic, complemented
18#11734160C211yesmaximal, characteristic, complemented
19#11734153C211yesmaximal, characteristic, complemented
20#11734140C211yesmaximal, characteristic, complemented
21#11734132C211yesmaximal, characteristic, complemented
22#11733405C211yesmaximal, characteristic, complemented
23#11733113C211yesmaximal, characteristic, complemented
24#11732616C211yesmaximal, characteristic, complemented
25#11732382C211yesmaximal, characteristic, complemented
26#11732358C211yesmaximal, characteristic, complemented
27#11732355C211yesmaximal, characteristic, complemented
28#11732349C211yesmaximal, characteristic, complemented
29#11732235C211yesmaximal, characteristic, complemented
30#11732225C211yesmaximal, characteristic, complemented
31#11732222C211yesmaximal, characteristic, complemented
32C2×C7×#127C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic, complemented
35C2×C7×#121C2211yescharacteristic, complemented
36C2×#6503C2211yescharacteristic
37C2×#6502C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic, complemented
41C2×#6501C2211yescharacteristic
42C2×#6501C2211yescharacteristic
43C2×#6501C2211yescharacteristic
44C2×#6501C2211yescharacteristic
45C2×#6501C2211yescharacteristic, complemented
46C2×#6501C2211yescharacteristic, complemented
47C2×#6501C2211yescharacteristic, complemented
48C2×#6500C2211yescharacteristic
49C2×#6500C2211yescharacteristic
50C2×#6500C2211yescharacteristic
51C2×#6500C2211yescharacteristic
52C2×D4×Dic7C2211yescharacteristic, complemented
53C2×#6493C2211yescharacteristic
54C2×#6493C2211yescharacteristic
55C2×C4×C22⋊D7C2211yescharacteristic
56C2×#6489C2211yescharacteristic, complemented
57#90348—28no—
58#90310—28no—
59C2×#6461C2211yescharacteristic
60C2×#6460C2211yescharacteristic
61C2×#6457C2211yescharacteristic
62C2×#6456C2211yescharacteristic
63C2×#6455C2211yescharacteristic
64C2×#6453C2211yescharacteristic, complemented
65C2×#6449C2211yescharacteristic
66C2×#6449C2211yescharacteristic, complemented
67C2×#6448C2211yescharacteristic
68C2×#6448C2211yescharacteristic
69C2×#6447C2211yescharacteristic
70C2×#6447C2211yescharacteristic
71C2×#6446C2211yescharacteristic
72C2×#6446C2211yescharacteristic
73C2×#6446C2211yescharacteristic
74C2×#6446C2211yescharacteristic, complemented
75C2×#6445C2211yescharacteristic
76C2×D7×C22⋊C4C2211yescharacteristic
77C2×#6442C2211yescharacteristic
78C2×#6441C2211yescharacteristic, complemented
79C2×#6441C2211yescharacteristic, complemented
80C2×C42×D7C2211yescharacteristic, complemented
81C7×#394C2211yescharacteristic
82C7×#394C2211yescharacteristic, complemented
83C7×#392C2211yescharacteristic
84C7×#392C2211yescharacteristic
85C7×#392C2211yescharacteristic
86C7×#392C2211yescharacteristic, complemented
87C7×#388C2211yescharacteristic, complemented
88C7×#387C2211yescharacteristic, complemented
89C7×#386C2211yescharacteristic
90C7×#386C2211yescharacteristic, complemented
91C7×#386C2211yescharacteristic, complemented
92#89995C2211yescharacteristic
93#89995C2211yescharacteristic
94#89995C2211yescharacteristic
95#89995C2211yescharacteristic
96#89995C2211yescharacteristic
97#89995C2211yescharacteristic
98#89995C2211yescharacteristic
99#89995C2211yescharacteristic
100#89995C2211yescharacteristic, complemented
101#89994C2211yescharacteristic
102#89994C2211yescharacteristic
103#89994C2211yescharacteristic, complemented
104#89993C2211yescharacteristic
105#89993C2211yescharacteristic
106#89993C2211yescharacteristic
107#89993C2211yescharacteristic
108#89993C2211yescharacteristic, complemented
109#89993C2211yescharacteristic, complemented
110#89993C2211yescharacteristic, complemented
111#89993C2211yescharacteristic, complemented
112#89993C2211yescharacteristic, complemented
113#89992C2211yescharacteristic
114#89992C2211yescharacteristic
115#89985C2211yescharacteristic
116#89984C2211yescharacteristic, complemented
117#89982C2211yescharacteristic, complemented
118#89982C2211yescharacteristic, complemented
119#89766C2211yescharacteristic
120#89761C2211yescharacteristic, complemented
121#89757C2211yescharacteristic, complemented
122#89755C2211yescharacteristic, complemented
123#89753C2211yescharacteristic, complemented
124#89744C2211yescharacteristic, complemented
125#89733C2211yescharacteristic
126#89733C2211yescharacteristic
127#89733C2211yescharacteristic
128#89733C2211yescharacteristic
129#89733C2211yescharacteristic
130#89733C2211yescharacteristic, complemented
131#89732C2211yescharacteristic
132#89732C2211yescharacteristic
133#89731C2211yescharacteristic
134#89731C2211yescharacteristic
135#89731C2211yescharacteristic, complemented
136#89731C2211yescharacteristic, complemented
137#89729C2211yescharacteristic
138#89729C2211yescharacteristic
139#89729C2211yescharacteristic
140#89729C2211yescharacteristic
141#89728C2211yescharacteristic
142#89728C2211yescharacteristic, complemented
143#89727C2211yescharacteristic
144#89725C2211yescharacteristic
145#89725C2211yescharacteristic, complemented
146#89723C2211yescharacteristic
147#89723C2211yescharacteristic, complemented
148#89722C2211yescharacteristic, complemented
149#89722C2211yescharacteristic, complemented
150#89721C2211yescharacteristic
151#89721C2211yescharacteristic, complemented
152#89720C2211yescharacteristic
153#89720C2211yescharacteristic
154#89720C2211yescharacteristic, complemented
155#89719C2211yescharacteristic, complemented
156#89716C2211yescharacteristic
157#89716C2211yescharacteristic, complemented
158#89716C2211yescharacteristic, complemented
159#89716C2211yescharacteristic, complemented
160#89716C2211yescharacteristic, complemented
161#89716C2211yescharacteristic, complemented
162#89712C2211yescharacteristic
163#89712C2211yescharacteristic
164#89707C2211yescharacteristic, complemented
165#89449C2211yescharacteristic
166#89449C2211yescharacteristic
167#89446C2211yescharacteristic
168#89446C2211yescharacteristic
169#89442C2211yescharacteristic
170#89442C2211yescharacteristic
171#89441C2211yescharacteristic
172#89440C2211yescharacteristic
173#89440C2211yescharacteristic, complemented
174#89439C2211yescharacteristic, complemented
175#89438C2211yescharacteristic
176#89438C2211yescharacteristic, complemented
177#89437C2211yescharacteristic
178#89437C2211yescharacteristic
179#89437C2211yescharacteristic
180#89433C2211yescharacteristic, complemented
181#89433C2211yescharacteristic, complemented
182#89433C2211yescharacteristic, complemented
183#89428C2211yescharacteristic, complemented
184#89425C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89421C2211yescharacteristic, complemented
187#89420C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#36744—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C22×C7×D4C2311yescharacteristic
199C22×C7×D4C2311yescharacteristic
200C22×C7×D4C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
202C23×C4×C7C2311yescharacteristic
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
215C22×C22⋊D7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×Dic14C2311yescharacteristic
226C7×#127—42no—
227C7×#123—24no—
228C7×#121—24no—
229C7×#121—42no—
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×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C42×C7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
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
271#6503—24no—
272#6502—24no—
273#6502—24no—
274#6502—42no—
275#6502—42no—
276#6501—24no—
277#6501—24no—
278#6501—24no—
279#6501—42no—
280#6501—42no—
281#6501—42no—
282#6501—42no—
283#6500—24no—
284#6500—42no—
285#6500—42no—
286#6500—42no—
287D4×Dic7—24no—
288#6493—24no—
289#6493—24no—
290C4×C22⋊D7—24no—
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
312#6489—24no—
313C2×C4⋊Dic7C2311yescharacteristic
314C2×C4⋊Dic7C2311yescharacteristic
315C2×C4⋊Dic7C2311yescharacteristic
316C2×C4⋊Dic7C2311yescharacteristic
317C2×C4⋊Dic7C2311yescharacteristic
318C2×C4⋊Dic7C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×C4⋊Dic7C2311yescharacteristic
322C2×C4⋊Dic7C2311yescharacteristic
323C2×C4⋊Dic7C2311yescharacteristic
324C2×C4⋊Dic7C2311yescharacteristic
325C2×C4⋊Dic7C2311yescharacteristic
326C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
336C2×Dic7⋊C4C2311yescharacteristic
337C2×Dic7⋊C4C2311yescharacteristic
338C2×C4×Dic7C2311yescharacteristic
339C2×C4×Dic7C2311yescharacteristic
340C2×C4×Dic7C2311yescharacteristic
341C2×C4×Dic7C2311yescharacteristic
342C2×C4×Dic7C2311yescharacteristic
343C2×C4×Dic7C2311yescharacteristic
344C2×C4×Dic7C2311yescharacteristic
345C2×C4×Dic7C2311yescharacteristic
346#6461—24no—
347#6460—24no—
348#6457—24no—
349#6456D418yescomplemented
350#6455—42no—
351#6453—24no—
352#6449—24no—
353#6449—24no—
354#6448—24no—
355#6448—24no—
356#6447—24no—
357#6447—42no—
358#6446—24no—
359#6446—24no—
360#6446—42no—
361#6446—42no—
362#6445—24no—
363D7×C22⋊C4—24no—
364#6442—24no—
365#6441—42no—
366#6441—42no—
367C42×D7—42no—
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×#538—71no—
394#2856—71no—
395#2854—71no—
396#2721—71no—
397#2714—71no—
398#2694—71no—
399#2681—71no—
400#2680—71no—
401#2678—71no—
402#2676—71no—
403#2675—71no—
404#2673—71no—
405#2673D711yescharacteristic, complemented
406#2672—71no—
407#2671—71no—
408#2671—71no—
409#2669—71no—
410#2669—71no—
411#2668—71no—
412#2661—71no—
413#2661—71no—
414#2610—71no—
415#2603—71no—
416#2602—71no—
417#2601—71no—
418#2540—71no—
419#2539—71no—
420#2414—71no—
421#2411—71no—
422#2290—71no—
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C24×C7C2411yescharacteristic
428C23×D7—22no—
429C23×D7—41no—
430C23×D7—41no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7—41no—
434C23×D7—41no—
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—22no—
444C2×C7×D4—22no—
445C2×C7×D4—22no—
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—
456C2×C7×D4—41no—
457C2×C7×D4—41no—
458C2×C7×D4—41no—
459C2×C7×D4—41no—
460C2×C7×D4—41no—
461C2×C7×D4—41no—
462C2×C7×D4—41no—
463C2×C7×D4—41no—
464C2×C7×D4—41no—
465C2×C7×D4—41no—
466C2×C7×D4—41no—
467C2×C7×D4—41no—
468C22×C4×C7—22no—
469C22×C4×C7—22no—
470C22×C4×C7—41no—
471C22×C4×C7—41no—
472C22×C4×C7—41no—
473C22×C4×C7—41no—
474C22×C4×C7C2411yescharacteristic
475C22×C4×C7C2411yescharacteristic
476C22×C4×C7C2411yescharacteristic
477C22×C4×C7C2411yescharacteristic
478C22×C4×C7C2411yescharacteristic
479C22×C4×C7C2411yescharacteristic
480C22×C4×C7C2411yescharacteristic
481C22×C4×C7C2411yescharacteristic
482C22×C4×C7C2411yescharacteristic
483C22×C4×C7C2411yescharacteristic
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—
521C2×C22⋊D7—41no—
522C2×C22⋊D7—41no—
523C22×Dic7—22no—
524C22×Dic7—22no—
525C22×Dic7—41no—
526C22×Dic7—41no—
527C22×Dic7—41no—
528C22×Dic7—41no—
529C22×Dic7C2411yescharacteristic
530C22×Dic7C2411yescharacteristic
531C22×Dic7C2411yescharacteristic
532C22×Dic7C2411yescharacteristic
533C22×Dic7C2411yescharacteristic
534C22×Dic7C2411yescharacteristic
535C22×Dic7C2411yescharacteristic
536C22×Dic7C2411yescharacteristic
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C2×D28—22no—
543C2×D28—41no—
544C2×D28—41no—
545C2×D28—41no—
546C2×D28—41no—
547C2×D28C2×D414yes—
548C2×C4×D7—22no—
549C2×C4×D7—22no—
550C2×C4×D7—22no—
551C2×C4×D7—22no—
552C2×C4×D7—41no—
553C2×C4×D7—41no—
554C2×C4×D7—41no—
555C2×C4×D7—41no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×C4×D7—41no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C2×C4×D7C2×D414yes—
562C2×C4×D7C2×D414yes—
563C2×Dic14—22no—
564C2×Dic14—41no—
565C2×Dic14—41no—
566C7×C4⋊C4—22no—
567C7×C4⋊C4—22no—
568C7×C4⋊C4C2×D414yes—
569C7×C22⋊C4—22no—
570C7×C22⋊C4—22no—
571C7×C22⋊C4—22no—
572C7×C22⋊C4—22no—
573C7×C22⋊C4—22no—
574C7×C22⋊C4—22no—
575C7×C22⋊C4—22no—
576C7×C22⋊C4—41no—
577C7×C22⋊C4—41no—
578C7×C22⋊C4—41no—
579C7×C22⋊C4—41no—
580C7×C22⋊C4—41no—
581C7×C22⋊C4—41no—
582C42×C7—22no—
583C22⋊Dic7—22no—
584C22⋊Dic7—22no—
585C22⋊Dic7—22no—
586C22⋊Dic7—22no—
587C22⋊Dic7—22no—
588C22⋊Dic7—22no—
589C22⋊Dic7—22no—
590C22⋊Dic7—22no—
591C22⋊Dic7—22no—
592C22⋊Dic7—22no—
593C22⋊Dic7—22no—
594C22⋊Dic7—41no—
595C22⋊Dic7—41no—
596C22⋊Dic7—41no—
597C22⋊Dic7—41no—
598C22⋊Dic7—41no—
599C22⋊Dic7—41no—
600C22⋊Dic7—41no—
601C22⋊Dic7—41no—
602C22⋊Dic7—41no—
603C22⋊Dic7—41no—
604C22⋊Dic7—41no—
605C22⋊Dic7—41no—
606C22⋊Dic7—41no—
607(C2×D7)⋊C4—22no—
608(C2×D7)⋊C4—22no—
609(C2×D7)⋊C4—22no—
610(C2×D7)⋊C4—22no—
611(C2×D7)⋊C4—22no—
612(C2×D7)⋊C4—22no—
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—41no—
621(C2×D7)⋊C4—41no—
622(C2×D7)⋊C4—41no—
623(C2×D7)⋊C4—41no—
624(C2×D7)⋊C4—41no—
625(C2×D7)⋊C4—41no—
626(C2×D7)⋊C4C2×D414yes—
627(C2×D7)⋊C4C2×D414yes—
628C4⋊Dic7—22no—
629C4⋊Dic7—22no—
630C4⋊Dic7—22no—
631C4⋊Dic7—22no—
632C4⋊Dic7—22no—
633C4⋊Dic7—22no—
634C4⋊Dic7—22no—
635C4⋊Dic7—22no—
636C4⋊Dic7—22no—
637C4⋊Dic7—41no—
638C4⋊Dic7—41no—
639C4⋊Dic7—41no—
640C4⋊Dic7—41no—
641C4⋊Dic7—41no—
642Dic7⋊C4—22no—
643Dic7⋊C4—22no—
644Dic7⋊C4—22no—
645Dic7⋊C4—22no—
646Dic7⋊C4—22no—
647Dic7⋊C4—22no—
648Dic7⋊C4—22no—
649Dic7⋊C4—41no—
650Dic7⋊C4—41no—
651Dic7⋊C4—41no—
652Dic7⋊C4—41no—
653C4×Dic7—22no—
654C4×Dic7—22no—
655C4×Dic7—22no—
656C4×Dic7—41no—
657C4×Dic7—41no—
658C4×Dic7—41no—
659C4×Dic7—41no—
660C4×Dic7C2×D414yes—
661#540—148no—
662#538—148no—
663C2×#127—71no—
664C2×#127C2×D711yescharacteristic
665C2×#126—71no—
666C2×#126—71no—
667C2×#125—71no—
668C2×#124—71no—
669C2×#124—71no—
670C2×#123—71no—
671C2×#123—71no—
672C2×#123—71no—
673C2×#123—71no—
674C2×#123—71no—
675C2×#123—71no—
676C2×#123—71no—
677C2×#123C2×D711yescharacteristic
678C2×C22⋊Q8—71no—
679C2×C22⋊Q8—71no—
680C2×C22⋊Q8—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×#121—71no—
695C2×#121—71no—
696C2×#121C2×D711yescharacteristic, complemented
697C2×#121C2×D711yescharacteristic, complemented
698C2×#120—71no—
699C2×#120—71no—
700C2×#120—71no—
701C2×#120—71no—
702C2×#120—71no—
703C2×C4×D4—71no—
704C2×C4×D4—71no—
705C2×C4×D4—71no—
706C2×#117—71no—
707C2×#117—71no—
708C22×C22⋊C4—71no—
709C22×C42—71no—
710#399—71no—
711#399—71no—
712#399—71no—
713#399—71no—
714#398—71no—
715#398—71no—
716#398—71no—
717#398—71no—
718#397—71no—
719#397—71no—
720#397—71no—
721#397—71no—
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#394C2×D711yescharacteristic
741#394C2×D711yescharacteristic, complemented
742#393—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
756#392C2×D711yescharacteristic
757#392C2×D711yescharacteristic, complemented
758#390—71no—
759#390—71no—
760#390—71no—
761#390—71no—
762#390—71no—
763#390—71no—
764#390—71no—
765#390—71no—
766#390—71no—
767#390—71no—
768#390—71no—
769#390—71no—
770#390—71no—
771#389—71no—
772#389—71no—
773#389—71no—
774#388—71no—
775#388—71no—
776#388—71no—
777#388—71no—
778#388—71no—
779#388—71no—
780#388—71no—
781#388—71no—
782#388—71no—
783#388—71no—
784#388—71no—
785#388—71no—
786#388—71no—
787#388C2×D711yescharacteristic, complemented
788#387—71no—
789#387—71no—
790#387—71no—
791#387C2×D711yescharacteristic, complemented
792#386—71no—
793#386—71no—
794#386—71no—
795#386—71no—
796#386—71no—
797#386—71no—
798#386—71no—
799#386—71no—
800#386C2×D711yescharacteristic
801#386C2×D711yescharacteristic, complemented
802#386C2×D711yescharacteristic, complemented
803#385—71no—
804#385—71no—
805#385—71no—
806#385—71no—
807#385—71no—
808#385—71no—
809#385—71no—
810#384—71no—
811#380—71no—
812#380—71no—
813#379—71no—
814C4×C4⋊C4—71no—
815C4×C22⋊C4—71no—
816C4×C22⋊C4—71no—
817#376—71no—
818C23×C7—21no—
819C23×C7—21no—
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×C7—21no—
848C23×C7—21no—
849C23×C7—21no—
850C23×C7—21no—
851C23×C7—21no—
852C23×C7—21no—
853C23×C7C2511yescharacteristic
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—44no—
874C22×D7—82no—
875C22×D7—82no—
876C22×D7—82no—
877C22×D7—82no—
878C22×D7—82no—
879C22×D7—82no—
880C22×D7C22×D412yes—
881C22×D7C22×D412yes—
882C7×D4—44no—
883C7×D4—82no—
884C7×D4—82no—
885C7×D4—82no—
886C7×D4—82no—
887C7×D4—82no—
888C7×D4—82no—
889C7×D4—82no—
890C7×D4—82no—
891C7×D4—82no—
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—44no—
918C2×C4×C7—82no—
919C2×C4×C7C22×D412yes—
920C2×C4×C7C22×D412yes—
921C2×C4×C7C22×D412yes—
922C2×C4×C7H(5,𝔽2)12yes—
923C2×C4×C7H(5,𝔽2)12yes—
924C22⋊D7—44no—
925C22⋊D7—82no—
926C22⋊D7—82no—
927C22⋊D7—82no—
928C22⋊D7—82no—
929C22⋊D7—82no—
930C22⋊D7—82no—
931C22⋊D7—82no—
932C22⋊D7—82no—
933C22⋊D7—82no—
934C22⋊D7—82no—
935C22⋊D7—82no—
936C22⋊D7—82no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—21no—
940C2×Dic7—21no—
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—82no—
974C2×Dic7—82no—
975C2×Dic7C22×D412yes—
976C2×Dic7C22×D412yes—
977C2×Dic7H(5,𝔽2)12yes—
978D28—44no—
979D28—82no—
980C4×D7—44no—
981C4×D7—44no—
982C4×D7—44no—
983C4×D7—44no—
984C4×D7—82no—
985Dic14—82no—
986C25—71no—
987C22×Q8—71no—
988C22×D4—71no—
989C22×D4—71no—
990C22×D4—71no—
991C22×D4—71no—
992C22×D4—71no—
993C22×D4—71no—
994C22×D4—71no—
995C22×D4—71no—
996C22×D4—71no—
997C22×D4—71no—
998C22×D4—71no—
999C22×D4—71no—
1000C22×D4—71no—
1001C22×D4—71no—
1002C22×D4—71no—
1003C22×D4C22×D711yescharacteristic
1004C22×D4C22×D711yescharacteristic
1005C22×D4C22×D711yescharacteristic
1006C22×D4C22×D711yescharacteristic
1007C22×D4C22×D711yescharacteristic
1008C22×D4C22×D711yescharacteristic
1009C22×D4C22×D711yescharacteristic
1010C22×D4C22×D711yescharacteristic
1011C22×D4C22×D711yescharacteristic
1012C22×D4C22×D711yescharacteristic
1013C23×C4—71no—
1014C23×C4—71no—
1015C23×C4—71no—
1016C23×C4—71no—
1017C23×C4—71no—
1018C23×C4—71no—
1019C23×C4—71no—
1020C23×C4C22×D711yescharacteristic
1021C23×C4C22×D711yescharacteristic
1022#127—42no—
1023#127—144no—
1024#126—144no—
1025#126—144no—
1026#125—144no—
1027#124—144no—
1028#124—144no—
1029#123—24no—
1030#123—144no—
1031#123—144no—
1032#123—144no—
1033#123—144no—
1034#123—144no—
1035#123—282no—
1036#123—282no—
1037C22⋊Q8—144no—
1038C22⋊Q8—282no—
1039C22⋊Q8—282no—
1040#121—24no—
1041#121—42no—
1042#121—144no—
1043#121—144no—
1044#121—144no—
1045#121—144no—
1046#121—144no—
1047#121—144no—
1048#121—144no—
1049#121—144no—
1050#121—282no—
1051#121—282no—
1052#121—282no—
1053#121—282no—
1054#121—282no—
1055#121—282no—
1056#121—282no—
1057#120—144no—
1058#120—144no—
1059#120—282no—
1060#120—282no—
1061#120—282no—
1062C4×D4—78no—
1063C4×D4—144no—
1064C4×D4—144no—
1065#117—144no—
1066#117—282no—
1067C2×C4⋊C4—71no—
1068C2×C4⋊C4—71no—
1069C2×C4⋊C4—71no—
1070C2×C4⋊C4—71no—
1071C2×C4⋊C4—71no—
1072C2×C4⋊C4—71no—
1073C2×C4⋊C4—71no—
1074C2×C4⋊C4—71no—
1075C2×C4⋊C4—71no—
1076C2×C4⋊C4—71no—
1077C2×C4⋊C4—71no—
1078C2×C4⋊C4—71no—
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⋊C4C22×D711yescharacteristic
1093C2×C4⋊C4C22×D711yescharacteristic
1094C2×C4⋊C4C22×D711yescharacteristic
1095C2×C22⋊C4—71no—
1096C2×C22⋊C4—71no—
1097C2×C22⋊C4—71no—
1098C2×C22⋊C4—71no—
1099C2×C22⋊C4—71no—
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—71no—
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—144no—
1141C2×C22⋊C4C22×D711yescharacteristic
1142C2×C22⋊C4C22×D711yescharacteristic
1143C2×C22⋊C4C22×D711yescharacteristic
1144C2×C22⋊C4C22×D711yescharacteristic
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×C42—71no—
1155C2×C42—71no—
1156C2×C42—71no—
1157C2×C42—71no—
1158C2×C42—71no—
1159C2×C42—71no—
1160C2×C42—71no—
1161C2×C42—71no—
1162C2×C42—282no—
1163C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1183#95C22×D711yescharacteristic
1184#95C22×D711yescharacteristic
1185#95C22×D711yescharacteristic
1186#95C22×D711yescharacteristic
1187#95C22×D711yescharacteristic
1188C22×C7—41no—
1189C22×C7—41no—
1190C22×C7—41no—
1191C22×C7—41no—
1192C22×C7—41no—
1193C22×C7—41no—
1194C22×C7—41no—
1195C22×C7—41no—
1196C22×C7—41no—
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×C7—41no—
1223C22×C7C23×D411yescharacteristic
1224C22×C7C2×H(5,𝔽2)11yescharacteristic
1225C22×C7C2×H(5,𝔽2)11yescharacteristic
1226C22×C7C2×H(5,𝔽2)11yescharacteristic
1227C22×C7#58511yescharacteristic
1228C22×C7#58511yescharacteristic
1229C22×C7#58511yescharacteristic
1230C2×D7—22no—
1231C2×D7—22no—
1232C2×D7—22no—
1233C2×D7—22no—
1234C2×D7—22no—
1235C2×D7—22no—
1236C2×D7—41no—
1237C2×D7—41no—
1238C2×D7—41no—
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—88no—
1252C4×C7—22no—
1253C4×C7—22no—
1254C4×C7—22no—
1255C4×C7—22no—
1256C4×C7—22no—
1257C4×C7—41no—
1258C4×C7—41no—
1259C4×C7—41no—
1260C4×C7—41no—
1261C4×C7—41no—
1262Dic7—22no—
1263Dic7—22no—
1264Dic7—22no—
1265Dic7—41no—
1266Dic7—41no—
1267Dic7—41no—
1268Dic7—41no—
1269Dic7—41no—
1270Dic7—41no—
1271Dic7—41no—
1272Dic7—41no—
1273Dic7—41no—
1274Dic7—41no—
1275C24—71no—
1276C24—71no—
1277C24—71no—
1278C24—142no—
1279C24—281no—
1280C24—281no—
1281C24—281no—
1282C24—281no—
1283C24—281no—
1284C24—281no—
1285C24C23×D711yescharacteristic
1286C24C23×D711yescharacteristic
1287C24C23×D711yescharacteristic
1288C24C23×D711yescharacteristic
1289C24C23×D711yescharacteristic
1290C2×Q8—142no—
1291C2×Q8—281no—
1292C2×Q8—281no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
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—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—74no—
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—281no—
1337C2×D4—281no—
1338C2×D4—281no—
1339C2×D4—281no—
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—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—71no—
1375C22×C4—71no—
1376C22×C4—71no—
1377C22×C4—74no—
1378C22×C4—74no—
1379C22×C4—71no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—71no—
1385C22×C4—71no—
1386C22×C4—71no—
1387C22×C4—71no—
1388C22×C4—71no—
1389C22×C4—142no—
1390C22×C4—142no—
1391C22×C4—142no—
1392C22×C4—142no—
1393C22×C4—142no—
1394C22×C4—142no—
1395C22×C4—281no—
1396C22×C4—281no—
1397C22×C4—281no—
1398C22×C4—281no—
1399C22×C4—281no—
1400C22×C4—281no—
1401C22×C4—281no—
1402C22×C4—281no—
1403C22×C4—281no—
1404C22×C4—281no—
1405C22×C4—281no—
1406C22×C4—281no—
1407C22×C4—281no—
1408C22×C4C23×D711yescharacteristic
1409C22×C4C23×D711yescharacteristic
1410C22×C4C23×D711yescharacteristic
1411C22×C4C23×D711yescharacteristic
1412C22×C4C23×D711yescharacteristic
1413C22×C4C23×D711yescharacteristic
1414C22×C4C23×D711yescharacteristic
1415C22×C4C23×D711yescharacteristic
1416C22×C4C23×D711yescharacteristic
1417C22×C4C23×D711yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—142no—
1421C4⋊C4—142no—
1422C4⋊C4—142no—
1423C4⋊C4—142no—
1424C4⋊C4—142no—
1425C4⋊C4—142no—
1426C4⋊C4—142no—
1427C4⋊C4—142no—
1428C4⋊C4—142no—
1429C4⋊C4—142no—
1430C4⋊C4—142no—
1431C4⋊C4—142no—
1432C4⋊C4—142no—
1433C4⋊C4—142no—
1434C4⋊C4—142no—
1435C4⋊C4—142no—
1436C4⋊C4—281no—
1437C4⋊C4—281no—
1438C4⋊C4—281no—
1439C4⋊C4—281no—
1440C4⋊C4—281no—
1441C4⋊C4—281no—
1442C4⋊C4—281no—
1443C4⋊C4—281no—
1444C4⋊C4—281no—
1445C4⋊C4D4×D714yes—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—74no—
1460C22⋊C4—74no—
1461C22⋊C4—142no—
1462C22⋊C4—142no—
1463C22⋊C4—142no—
1464C22⋊C4—142no—
1465C22⋊C4—142no—
1466C22⋊C4—142no—
1467C22⋊C4—142no—
1468C22⋊C4—142no—
1469C22⋊C4—142no—
1470C22⋊C4—142no—
1471C22⋊C4—142no—
1472C22⋊C4—142no—
1473C22⋊C4—142no—
1474C22⋊C4—142no—
1475C22⋊C4—142no—
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—281no—
1486C22⋊C4—281no—
1487C22⋊C4—281no—
1488C22⋊C4—281no—
1489C22⋊C4—281no—
1490C22⋊C4—281no—
1491C22⋊C4—281no—
1492C22⋊C4—281no—
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—
1504C42—22no—
1505C42—74no—
1506C42—142no—
1507C42—142no—
1508C42—142no—
1509C42—281no—
1510C42—281no—
1511C42—281no—
1512C42—281no—
1513C2×C7—81no—
1514C2×C7—81no—
1515C2×C7—81no—
1516C2×C7—81no—
1517C2×C7—81no—
1518C2×C7#344911yescharacteristic
1519C2×C7#349611yescharacteristic
1520C2×C7#349811yescharacteristic
1521C2×C7#353411yescharacteristic
1522C2×C7#354211yescharacteristic
1523C2×C7#355111yescharacteristic
1524C2×C7#356211yescharacteristic
1525D7—42no—
1526D7—42no—
1527D7—81no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
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—141no—
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—284no—
1585C23—562no—
1586C23—562no—
1587C23—562no—
1588C23—562no—
1589C23—562no—
1590C23—562no—
1591C23C24×D711yescharacteristic
1592Q8—562no—
1593D4—44no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—284no—
1604D4—284no—
1605D4—562no—
1606D4—562no—
1607D4—562no—
1608D4—562no—
1609D4—562no—
1610D4—562no—
1611D4—562no—
1612D4—562no—
1613D4—562no—
1614D4—562no—
1615D4—562no—
1616D4—562no—
1617D4—562no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
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—44no—
1644C2×C4—72no—
1645C2×C4—72no—
1646C2×C4—72no—
1647C2×C4—82no—
1648C2×C4—141no—
1649C2×C4—141no—
1650C2×C4—141no—
1651C2×C4—141no—
1652C2×C4—141no—
1653C2×C4—141no—
1654C2×C4—141no—
1655C2×C4—141no—
1656C2×C4—141no—
1657C2×C4—141no—
1658C2×C4—141no—
1659C2×C4—141no—
1660C2×C4—141no—
1661C2×C4—141no—
1662C2×C4—141no—
1663C2×C4—141no—
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—284no—
1685C2×C4—284no—
1686C2×C4—284no—
1687C2×C4—284no—
1688C2×C4—562no—
1689C2×C4—562no—
1690C2×C4—562no—
1691C2×C4C2×D4×D712yes—
1692C2×C4C2×D4×D712yes—
1693C2×C4C2×D4×D712yes—
1694C2×C4#654812yes—
1695C2×C4#655312yes—
1696C7#3674411yescharacteristic, complemented, Sylow
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
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—142no—
1733C22—142no—
1734C22—142no—
1735C22—142no—
1736C22—142no—
1737C22—142no—
1738C22—281no—
1739C22—281no—
1740C22—281no—
1741C22—281no—
1742C22—281no—
1743C22—281no—
1744C22—281no—
1745C22—281no—
1746C22—281no—
1747C22—281no—
1748C22—281no—
1749C22—281no—
1750C22—281no—
1751C22—281no—
1752C22—281no—
1753C22—568no—
1754C22C22×D4×D711yescharacteristic
1755C22C2×#654811yescharacteristic
1756C22C2×#655311yescharacteristic
1757C22D7×H(5,𝔽2)11yescharacteristic
1758C22#9061811yescharacteristic
1759C22#9061811yescharacteristic
1760C22#9061811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—142no—
1772C4—142no—
1773C4—142no—
1774C4—281no—
1775C4—281no—
1776C4—281no—
1777C4—281no—
1778C4—281no—
1779C4—281no—
1780C4—281no—
1781C4—281no—
1782C4—281no—
1783C4—281no—
1784C2—81no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—282no—
1790C2—282no—
1791C2—561no—
1792C2#1174337911yescharacteristic
1793C2#1174338111yescharacteristic
1794C2#1174354811yescharacteristic
1795C2#1174368911yescharacteristic
1796C2#1174371611yescharacteristic
1797C2#1174383811yescharacteristic
1798C2#1174414411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2673C2
hypercenter#2673D7
hypocenterC7#36744
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#90348C2semidirect
2. C2×#90310C2semidirect
3. C7×#2673C2semidirect
4. #11740637C2semidirect
5. #11740635C2semidirect
6. #11740321C2semidirect
7. #11740163C2semidirect
8. #11740148C2semidirect
9. #11740141C2semidirect
10. #11734584C2semidirect
11. #11734554C2semidirect
12. #11734446C2semidirect
13. #11734440C2semidirect
14. #11734217C2semidirect
15. #11734213C2semidirect
16. #11734210C2semidirect
17. #11734203C2semidirect
18. #11734160C2semidirect
19. #11734153C2semidirect
20. #11734140C2semidirect
21. #11734132C2semidirect
22. #11733405C2semidirect
23. #11733113C2semidirect
24. #11732616C2semidirect
25. #11732382C2semidirect
26. #11732358C2semidirect
27. #11732355C2semidirect
28. #11732349C2semidirect
29. #11732235C2semidirect
30. #11732225C2semidirect
31. #11732222C2semidirect
34. C2×C7×#121C22semidirect
35. C2×C7×#121C22semidirect
40. C2×#6502C22semidirect
45. C2×#6501C22semidirect
46. C2×#6501C22semidirect
47. C2×#6501C22semidirect
52. C2×D4×Dic7C22semidirect
56. C2×#6489C22semidirect
64. C2×#6453C22semidirect
66. C2×#6449C22semidirect
74. C2×#6446C22semidirect
78. C2×#6441C22semidirect
79. C2×#6441C22semidirect
80. C2×C42×D7C22semidirect
82. C7×#394C22semidirect
86. C7×#392C22semidirect
87. C7×#388C22semidirect
88. C7×#387C22semidirect
90. C7×#386C22semidirect
91. C7×#386C22semidirect
100. #89995C22semidirect
103. #89994C22semidirect
108. #89993C22semidirect
109. #89993C22semidirect
110. #89993C22semidirect
111. #89993C22semidirect
112. #89993C22semidirect
116. #89984C22semidirect
117. #89982C22semidirect
118. #89982C22semidirect
120. #89761C22semidirect
121. #89757C22semidirect
122. #89755C22semidirect
123. #89753C22semidirect
124. #89744C22semidirect
130. #89733C22semidirect
135. #89731C22semidirect
136. #89731C22semidirect
142. #89728C22semidirect
145. #89725C22semidirect
147. #89723C22semidirect
148. #89722C22semidirect
149. #89722C22semidirect
151. #89721C22semidirect
154. #89720C22semidirect
155. #89719C22semidirect
157. #89716C22semidirect
158. #89716C22semidirect
159. #89716C22semidirect
160. #89716C22semidirect
161. #89716C22semidirect
164. #89707C22semidirect
173. #89440C22semidirect
174. #89439C22semidirect
176. #89438C22semidirect
180. #89433C22semidirect
181. #89433C22semidirect
182. #89433C22semidirect
183. #89428C22semidirect
184. #89425C22semidirect
185. #89425C22semidirect
186. #89421C22semidirect
187. #89420C22semidirect
188. #89419C22semidirect
349. #6456D4semidirect
405. #2673D7semidirect
696. C2×#121C2×D7semidirect
697. C2×#121C2×D7semidirect
741. #394C2×D7semidirect
757. #392C2×D7semidirect
787. #388C2×D7semidirect
791. #387C2×D7semidirect
801. #386C2×D7semidirect
802. #386C2×D7semidirect
1696. C7#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#903482
C2×#903102
C7×#26732
#117406372
#117406352
#117403212
#117401632
#117401482
#117401412
#117345842
#117345542
#117344462
#117344402
#117342172
#117342132
#117342102
#117342032
#117341602
#117341532
#117341402
#117341322
#117334052
#117331132
#117326162
#117323822
#117323582
#117323552
#117323492
#117322352
#117322252
#117322222
#367447