Finite Group Databasebeta

← #13561304

Subgroups — #13561304

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×#90369C211yesmaximal, characteristic, complemented
2C2×#90306C211yesmaximal, characteristic, complemented
3C7×#2676C211yesmaximal, characteristic, complemented
4#11740449C211yesmaximal, characteristic, complemented
5#11740273C211yesmaximal, characteristic, complemented
6#11740224C211yesmaximal, characteristic, complemented
7#11740163C211yesmaximal, characteristic, complemented
8#11740158C211yesmaximal, characteristic, complemented
9#11740145C211yesmaximal, characteristic, complemented
10#11734859C211yesmaximal, characteristic, complemented
11#11734794C211yesmaximal, characteristic, complemented
12#11734575C211yesmaximal, characteristic, complemented
13#11734573C211yesmaximal, characteristic, complemented
14#11734439C211yesmaximal, characteristic, complemented
15#11734409C211yesmaximal, characteristic, complemented
16#11734320C211yesmaximal, characteristic, complemented
17#11734253C211yesmaximal, characteristic, complemented
18#11734214C211yesmaximal, characteristic, complemented
19#11734209C211yesmaximal, characteristic, complemented
20#11734203C211yesmaximal, characteristic, complemented
21#11734152C211yesmaximal, characteristic, complemented
22#11733883C211yesmaximal, characteristic, complemented
23#11733839C211yesmaximal, characteristic, complemented
24#11732819C211yesmaximal, characteristic, complemented
25#11732615C211yesmaximal, characteristic, complemented
26#11732362C211yesmaximal, characteristic, complemented
27#11732360C211yesmaximal, characteristic, complemented
28#11732317C211yesmaximal, characteristic, complemented
29#11732223C211yesmaximal, characteristic, complemented
30#11732073C211yesmaximal, characteristic, complemented
31#11731822C211yesmaximal, characteristic, complemented
32C2×C7×#124C2211yescharacteristic
33C2×C7×C22⋊Q8C2211yescharacteristic, complemented
34C2×C7×#121C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic, complemented
36C2×#6510C2211yescharacteristic
37C2×#6509C2211yescharacteristic
38C2×#6509C2211yescharacteristic, complemented
39C2×#6503C2211yescharacteristic
40C2×#6503C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×#6502C2211yescharacteristic
44C2×#6502C2211yescharacteristic
45C2×#6502C2211yescharacteristic, complemented
46C2×#6502C2211yescharacteristic, complemented
47C2×#6502C2211yescharacteristic, complemented
48C2×#6501C2211yescharacteristic
49C2×#6501C2211yescharacteristic, complemented
50C2×#6500C2211yescharacteristic
51C2×#6500C2211yescharacteristic
52C2×#6500C2211yescharacteristic
53C2×#6498C2211yescharacteristic, complemented
54C2×#6493C2211yescharacteristic
55C2×#6493C2211yescharacteristic, complemented
56C2×#6492C2211yescharacteristic
57C2×C4×C22⋊D7C2211yescharacteristic, complemented
58C22×C4×Dic7C2211yescharacteristic, complemented
59#90369—28no—
60#90306—28no—
61C2×#6458C2211yescharacteristic
62C2×#6457C2211yescharacteristic
63C2×#6455C2211yescharacteristic
64C2×#6452C2211yescharacteristic, complemented
65C2×#6449C2211yescharacteristic
66C2×#6447C2211yescharacteristic
67C2×#6447C2211yescharacteristic
68C2×#6447C2211yescharacteristic
69C2×#6446C2211yescharacteristic
70C2×#6446C2211yescharacteristic
71C2×#6446C2211yescharacteristic
72C2×#6446C2211yescharacteristic, complemented
73C2×#6445C2211yescharacteristic
74C2×#6445C2211yescharacteristic
75C2×(C22⋊D7)⋊C4C2211yescharacteristic
76C2×D7×C22⋊C4C2211yescharacteristic
77C2×#6442C2211yescharacteristic
78C2×#6440C2211yescharacteristic, complemented
79C2×#6439C2211yescharacteristic
80C2×C4×D28C2211yescharacteristic
81C7×#396C2211yescharacteristic
82C7×#394C2211yescharacteristic
83C7×#394C2211yescharacteristic, complemented
84C7×#393C2211yescharacteristic, complemented
85C7×#392C2211yescharacteristic
86C7×#392C2211yescharacteristic
87C7×#390C2211yescharacteristic, complemented
88C7×#387C2211yescharacteristic, complemented
89C7×#386C2211yescharacteristic
90C7×#386C2211yescharacteristic, complemented
91C7×#385C2211yescharacteristic, complemented
92#90001C2211yescharacteristic, complemented
93#89995C2211yescharacteristic
94#89995C2211yescharacteristic
95#89995C2211yescharacteristic
96#89995C2211yescharacteristic
97#89995C2211yescharacteristic, complemented
98#89994C2211yescharacteristic
99#89993C2211yescharacteristic
100#89993C2211yescharacteristic
101#89992C2211yescharacteristic
102#89985C2211yescharacteristic
103#89985C2211yescharacteristic
104#89982C2211yescharacteristic, complemented
105#89766C2211yescharacteristic
106#89765C2211yescharacteristic
107#89764C2211yescharacteristic
108#89764C2211yescharacteristic, complemented
109#89763C2211yescharacteristic
110#89762C2211yescharacteristic
111#89761C2211yescharacteristic
112#89761C2211yescharacteristic, complemented
113#89760C2211yescharacteristic
114#89760C2211yescharacteristic, complemented
115#89759C2211yescharacteristic, complemented
116#89756C2211yescharacteristic, complemented
117#89755C2211yescharacteristic, complemented
118#89750C2211yescharacteristic, complemented
119#89748C2211yescharacteristic, complemented
120C4⋊C4×Dic7C2211yescharacteristic, complemented
121#89733C2211yescharacteristic
122#89733C2211yescharacteristic, complemented
123#89733C2211yescharacteristic, complemented
124#89732C2211yescharacteristic
125#89732C2211yescharacteristic
126#89732C2211yescharacteristic
127#89732C2211yescharacteristic
128#89732C2211yescharacteristic
129#89732C2211yescharacteristic
130#89732C2211yescharacteristic, complemented
131#89731C2211yescharacteristic
132#89731C2211yescharacteristic
133#89731C2211yescharacteristic
134#89731C2211yescharacteristic, complemented
135#89731C2211yescharacteristic, complemented
136#89730C2211yescharacteristic
137#89730C2211yescharacteristic
138#89730C2211yescharacteristic, complemented
139#89729C2211yescharacteristic
140#89729C2211yescharacteristic
141#89729C2211yescharacteristic
142#89729C2211yescharacteristic
143#89729C2211yescharacteristic
144#89729C2211yescharacteristic, complemented
145#89729C2211yescharacteristic, complemented
146#89729C2211yescharacteristic, complemented
147#89728C2211yescharacteristic
148#89727C2211yescharacteristic
149#89724C2211yescharacteristic
150#89724C2211yescharacteristic, complemented
151#89723C2211yescharacteristic, complemented
152#89723C2211yescharacteristic, complemented
153#89723C2211yescharacteristic, complemented
154#89722C2211yescharacteristic, complemented
155#89721C2211yescharacteristic
156#89720C2211yescharacteristic
157#89720C2211yescharacteristic, complemented
158#89718C2211yescharacteristic, complemented
159#89717C2211yescharacteristic
160#89716C2211yescharacteristic
161#89714C2211yescharacteristic, complemented
162C22⋊C4×Dic7C2211yescharacteristic, complemented
163#89712C2211yescharacteristic, complemented
164#89700C2211yescharacteristic, complemented
165#89449C2211yescharacteristic
166#89447C2211yescharacteristic
167#89444C2211yescharacteristic
168#89444C2211yescharacteristic
169#89444C2211yescharacteristic
170#89443C2211yescharacteristic
171#89442C2211yescharacteristic
172#89442C2211yescharacteristic, complemented
173#89441C2211yescharacteristic
174#89441C2211yescharacteristic
175#89441C2211yescharacteristic
176#89441C2211yescharacteristic, complemented
177#89441C2211yescharacteristic, complemented
178#89440C2211yescharacteristic, complemented
179#89438C2211yescharacteristic
180#89437C2211yescharacteristic
181#89437C2211yescharacteristic, complemented
182#89429C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#36744—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
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
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×D28C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C7×#124—24no—
227C7×C22⋊Q8—42no—
228C7×#121—24no—
229C7×#121—42no—
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊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×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C42×C7C2311yescharacteristic
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
264#6510—24no—
265#6509—24no—
266#6509—42no—
267#6503—24no—
268#6503—42no—
269#6502—24no—
270#6502—24no—
271#6502—24no—
272#6502—24no—
273#6502—42no—
274#6502—42no—
275#6502—42no—
276#6501—24no—
277#6501—42no—
278#6500—24no—
279#6500—42no—
280#6500—42no—
281#6498—24no—
282#6493—42no—
283#6493—42no—
284#6492—24no—
285C4×C22⋊D7—24no—
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
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×(C2×D7)⋊C4C2311yescharacteristic
316C2×C4⋊Dic7C2311yescharacteristic
317C2×C4⋊Dic7C2311yescharacteristic
318C2×C4⋊Dic7C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×C4⋊Dic7C2311yescharacteristic
322C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
336C2×Dic7⋊C4C2311yescharacteristic
337C2×Dic7⋊C4C2311yescharacteristic
338C2×Dic7⋊C4C2311yescharacteristic
339C2×C4×Dic7—42no—
340C2×C4×Dic7C2311yescharacteristic
341C2×C4×Dic7C2311yescharacteristic
342C2×C4×Dic7C2311yescharacteristic
343C2×C4×Dic7C2311yescharacteristic
344C2×C4×Dic7C2311yescharacteristic
345C2×C4×Dic7C2311yescharacteristic
346C2×C4×Dic7C2311yescharacteristic
347C2×C4×Dic7C2311yescharacteristic
348#6458—42no—
349#6457—24no—
350#6455—42no—
351#6452—24no—
352#6449—24no—
353#6447—24no—
354#6447—24no—
355#6447—24no—
356#6446—24no—
357#6446—24no—
358#6446—42no—
359#6446—42no—
360#6445—24no—
361#6445—42no—
362(C22⋊D7)⋊C4D418yescomplemented
363D7×C22⋊C4—24no—
364#6442—24no—
365#6440—24no—
366#6439—24no—
367C4×D28—24no—
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#2676D711yescharacteristic, complemented
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#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
427C23×D7—22no—
428C23×D7—41no—
429C23×D7—41no—
430C23×D7—41no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7—41no—
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C23×D7C2411yescharacteristic
437C23×D7C2411yescharacteristic
438C2×C7×Q8—22no—
439C2×C7×Q8—41no—
440C2×C7×Q8—41no—
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—
459C22×C4×C7—22no—
460C22×C4×C7—22no—
461C22×C4×C7—41no—
462C22×C4×C7—41no—
463C22×C4×C7—41no—
464C22×C4×C7—41no—
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C22×C4×C7C2411yescharacteristic
475C22×C4×C7C2411yescharacteristic
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
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—41no—
488C2×C22⋊D7—41no—
489C2×C22⋊D7—41no—
490C2×C22⋊D7—41no—
491C2×C22⋊D7—41no—
492C2×C22⋊D7—41no—
493C2×C22⋊D7—41no—
494C2×C22⋊D7—41no—
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⋊D7C2×D414yes—
518C22×Dic7—22no—
519C22×Dic7—22no—
520C22×Dic7—22no—
521C22×Dic7—41no—
522C22×Dic7—41no—
523C22×Dic7—41no—
524C22×Dic7—41no—
525C22×Dic7—41no—
526C22×Dic7C2×D414yes—
527C22×Dic7C2411yescharacteristic
528C22×Dic7C2411yescharacteristic
529C22×Dic7C2411yescharacteristic
530C22×Dic7C2411yescharacteristic
531C22×Dic7C2411yescharacteristic
532C22×Dic7C2411yescharacteristic
533C22×Dic7C2411yescharacteristic
534C22×Dic7C2411yescharacteristic
535C22×Dic7C2411yescharacteristic
536C22×Dic7C2411yescharacteristic
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C2×D28—22no—
540C2×D28—22no—
541C2×D28—22no—
542C2×D28—22no—
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×D28—41no—
552C2×D28—41no—
553C2×D28—41no—
554C2×C4×D7—22no—
555C2×C4×D7—22no—
556C2×C4×D7—22no—
557C2×C4×D7—41no—
558C2×C4×D7—41no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C2×C4×D7—41no—
562C2×C4×D7—41no—
563C2×C4×D7—41no—
564C2×C4×D7—41no—
565C2×C4×D7C2×D414yes—
566C7×C4⋊C4—22no—
567C7×C4⋊C4—22no—
568C7×C4⋊C4—22no—
569C7×C4⋊C4—41no—
570C7×C4⋊C4—41no—
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—
582C7×C22⋊C4—41no—
583C7×C22⋊C4—41no—
584C7×C22⋊C4C2×D414yes—
585C42×C7—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—22no—
595C22⋊Dic7—41no—
596C22⋊Dic7—41no—
597C22⋊Dic7—41no—
598C22⋊Dic7—41no—
599C22⋊Dic7—41no—
600(C2×D7)⋊C4—22no—
601(C2×D7)⋊C4—22no—
602(C2×D7)⋊C4—22no—
603(C2×D7)⋊C4—22no—
604(C2×D7)⋊C4—22no—
605(C2×D7)⋊C4—22no—
606(C2×D7)⋊C4—22no—
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—41no—
618(C2×D7)⋊C4—41no—
619(C2×D7)⋊C4—41no—
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)⋊C4—41no—
627(C2×D7)⋊C4—41no—
628(C2×D7)⋊C4—41no—
629(C2×D7)⋊C4C2×D414yes—
630C4⋊Dic7—22no—
631C4⋊Dic7—22no—
632C4⋊Dic7—22no—
633C4⋊Dic7—22no—
634C4⋊Dic7—22no—
635C4⋊Dic7—22no—
636C4⋊Dic7—41no—
637Dic7⋊C4—22no—
638Dic7⋊C4—22no—
639Dic7⋊C4—22no—
640Dic7⋊C4—22no—
641Dic7⋊C4—22no—
642Dic7⋊C4—22no—
643Dic7⋊C4—22no—
644Dic7⋊C4—22no—
645Dic7⋊C4—22no—
646Dic7⋊C4—41no—
647Dic7⋊C4—41no—
648Dic7⋊C4—41no—
649Dic7⋊C4—41no—
650Dic7⋊C4—41no—
651Dic7⋊C4—41no—
652Dic7⋊C4C2×D414yes—
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×#127—71no—
665C2×#126—71no—
666C2×#126—71no—
667C2×#125—71no—
668C2×#124—71no—
669C2×#124C2×D711yescharacteristic
670C2×#123—71no—
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×C22⋊Q8C2×D711yescharacteristic, complemented
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
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#396C2×D711yescharacteristic
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#393C2×D711yescharacteristic, complemented
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#392—71no—
755#392—71no—
756#392C2×D711yescharacteristic
757#392C2×D711yescharacteristic
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#390C2×D711yescharacteristic, complemented
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#388—71no—
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#386—71no—
801#386C2×D711yescharacteristic
802#386C2×D711yescharacteristic, complemented
803#385—71no—
804#385—71no—
805#385—71no—
806#385—71no—
807#385—71no—
808#385—71no—
809#385C2×D711yescharacteristic, complemented
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×C7C22×D412yes—
846C23×C7C2511yescharacteristic
847C22×D7—21no—
848C22×D7—21no—
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—82no—
876C22×D7—82no—
877C22×D7—82no—
878C22×D7—82no—
879C22×D7—82no—
880C22×D7—82no—
881C22×D7C22×D412yes—
882C7×Q8—82no—
883C7×D4—82no—
884C7×D4—82no—
885C7×D4—82no—
886C7×D4—82no—
887C7×D4—82no—
888C7×D4—82no—
889C2×C4×C7—21no—
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—44no—
920C2×C4×C7—82no—
921C2×C4×C7C22×D412yes—
922C2×C4×C7C22×D412yes—
923C2×C4×C7H(5,𝔽2)12yes—
924C22⋊D7—44no—
925C22⋊D7—44no—
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—
937C22⋊D7—82no—
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—44no—
970C2×Dic7—44no—
971C2×Dic7—44no—
972C2×Dic7C22×D412yes—
973C2×Dic7C22×D412yes—
974C2×Dic7C22×D412yes—
975C2×Dic7H(5,𝔽2)12yes—
976C2×Dic7H(5,𝔽2)12yes—
977D28—44no—
978D28—82no—
979D28—82no—
980D28—82no—
981D28—82no—
982C4×D7—44no—
983C4×D7—82no—
984C4×D7—82no—
985C4×D7—82no—
986C25—71no—
987C22×Q8C22×D711yescharacteristic
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×D4—71no—
1004C22×D4—71no—
1005C22×D4—71no—
1006C22×D4—71no—
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—144no—
1023#127—282no—
1024#126—144no—
1025#126—144no—
1026#125—144no—
1027#124—24no—
1028#124—144no—
1029#123—144no—
1030#123—144no—
1031#123—144no—
1032#123—144no—
1033#123—144no—
1034#123—144no—
1035#123—282no—
1036#123—282no—
1037C22⋊Q8—42no—
1038C22⋊Q8—144no—
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⋊C4C22×D711yescharacteristic
1091C2×C4⋊C4C22×D711yescharacteristic
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—144no—
1140C2×C22⋊C4C22×D711yescharacteristic
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—22no—
1189C22×C7—22no—
1190C22×C7—22no—
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×C7C23×D411yescharacteristic
1217C22×C7C2×H(5,𝔽2)11yescharacteristic
1218C22×C7C2×H(5,𝔽2)11yescharacteristic
1219C22×C7C2×H(5,𝔽2)11yescharacteristic
1220C22×C7#58511yescharacteristic
1221C22×C7#58511yescharacteristic
1222C22×C7#58511yescharacteristic
1223C2×D7—22no—
1224C2×D7—22no—
1225C2×D7—22no—
1226C2×D7—41no—
1227C2×D7—41no—
1228C2×D7—41no—
1229C2×D7—41no—
1230C2×D7—41no—
1231C2×D7—41no—
1232C2×D7—41no—
1233C2×D7—41no—
1234C2×D7—41no—
1235C2×D7—41no—
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—41no—
1256C4×C7—41no—
1257C4×C7—41no—
1258C4×C7—41no—
1259C4×C7—41no—
1260C4×C7—41no—
1261C4×C7—41no—
1262C4×C7—41no—
1263Dic7—22no—
1264Dic7—22no—
1265Dic7—22no—
1266Dic7—22no—
1267Dic7—22no—
1268Dic7—41no—
1269Dic7—41no—
1270Dic7—41no—
1271Dic7—41no—
1272Dic7—41no—
1273Dic7—41no—
1274Dic7—41no—
1275C24—71no—
1276C24—71no—
1277C24—71no—
1278C24—71no—
1279C24—142no—
1280C24—281no—
1281C24—281no—
1282C24—281no—
1283C24—281no—
1284C24—281no—
1285C24—281no—
1286C24C23×D711yescharacteristic
1287C24C23×D711yescharacteristic
1288C24C23×D711yescharacteristic
1289C24C23×D711yescharacteristic
1290C2×Q8—22no—
1291C2×Q8—41no—
1292C2×Q8—41no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
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—74no—
1312C2×D4—142no—
1313C2×D4—142no—
1314C2×D4—142no—
1315C2×D4—142no—
1316C2×D4—142no—
1317C2×D4—142no—
1318C2×D4—142no—
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—281no—
1328C2×D4—281no—
1329C2×D4—281no—
1330C2×D4—281no—
1331C2×D4—281no—
1332C2×D4—281no—
1333C2×D4—281no—
1334C2×D4—281no—
1335C2×D4—281no—
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—71no—
1378C22×C4—71no—
1379C22×C4—74no—
1380C22×C4—74no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—71no—
1385C22×C4—71no—
1386C22×C4—71no—
1387C22×C4—71no—
1388C22×C4—142no—
1389C22×C4—142no—
1390C22×C4—142no—
1391C22×C4—142no—
1392C22×C4—142no—
1393C22×C4—142no—
1394C22×C4—281no—
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×C4C23×D711yescharacteristic
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—22no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—74no—
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—142no—
1437C4⋊C4—142no—
1438C4⋊C4—142no—
1439C4⋊C4—281no—
1440C4⋊C4—281no—
1441C4⋊C4—281no—
1442C4⋊C4—281no—
1443C4⋊C4—281no—
1444C4⋊C4—281no—
1445C4⋊C4—281no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—74no—
1460C22⋊C4—142no—
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—142no—
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⋊C4D4×D714yes—
1504C42—22no—
1505C42—74no—
1506C42—142no—
1507C42—142no—
1508C42—142no—
1509C42—281no—
1510C42—281no—
1511C42—281no—
1512C42—281no—
1513C2×C7—42no—
1514C2×C7—81no—
1515C2×C7—81no—
1516C2×C7—81no—
1517C2×C7#344911yescharacteristic
1518C2×C7#349611yescharacteristic
1519C2×C7#349811yescharacteristic
1520C2×C7#353411yescharacteristic
1521C2×C7#354211yescharacteristic
1522C2×C7#355111yescharacteristic
1523C2×C7#356211yescharacteristic
1524D7—42no—
1525D7—81no—
1526D7—81no—
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—72no—
1556C23—141no—
1557C23—141no—
1558C23—141no—
1559C23—141no—
1560C23—141no—
1561C23—141no—
1562C23—141no—
1563C23—141no—
1564C23—141no—
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—284no—
1584C23—562no—
1585C23—562no—
1586C23—562no—
1587C23—562no—
1588C23—562no—
1589C23—562no—
1590C23C2×D4×D712yes—
1591C23C24×D711yescharacteristic
1592Q8—82no—
1593D4—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—284no—
1600D4—284no—
1601D4—284no—
1602D4—562no—
1603D4—562no—
1604D4—562no—
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—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—44no—
1649C2×C4—72no—
1650C2×C4—72no—
1651C2×C4—72no—
1652C2×C4—72no—
1653C2×C4—72no—
1654C2×C4—82no—
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—141no—
1685C2×C4—141no—
1686C2×C4—284no—
1687C2×C4—284no—
1688C2×C4—284no—
1689C2×C4—284no—
1690C2×C4—562no—
1691C2×C4—562no—
1692C2×C4—562no—
1693C2×C4C2×D4×D712yes—
1694C2×C4C2×D4×D712yes—
1695C2×C4#654812yes—
1696C7#3674411yescharacteristic, complemented, Sylow
1697C22—22no—
1698C22—22no—
1699C22—22no—
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—142no—
1726C22—142no—
1727C22—142no—
1728C22—281no—
1729C22—281no—
1730C22—281no—
1731C22—281no—
1732C22—281no—
1733C22—281no—
1734C22—281no—
1735C22—281no—
1736C22—281no—
1737C22—281no—
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
1756C22#9061611yescharacteristic
1757C22D7×H(5,𝔽2)11yescharacteristic
1758C22D7×H(5,𝔽2)11yescharacteristic
1759C22#9061811yescharacteristic
1760C22#9062011yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—142no—
1773C4—142no—
1774C4—142no—
1775C4—142no—
1776C4—142no—
1777C4—281no—
1778C4—281no—
1779C4—281no—
1780C4—281no—
1781C4—281no—
1782C4—281no—
1783C4—281no—
1784C2—42no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—282no—
1789C2—561no—
1790C2—561no—
1791C2—561no—
1792C2#1174339111yescharacteristic
1793C2#1174343111yescharacteristic
1794C2#1174347011yescharacteristic
1795C2#1174367611yescharacteristic
1796C2#1174373311yescharacteristic
1797C2#1174380011yescharacteristic
1798C2#1174417711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2676C2
hypercenter#2676D7
hypocenterC7#36744
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2676

Complements

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

NH ≅ G/Ntype
1. C2×#90369C2semidirect
2. C2×#90306C2semidirect
3. C7×#2676C2semidirect
4. #11740449C2semidirect
5. #11740273C2semidirect
6. #11740224C2semidirect
7. #11740163C2semidirect
8. #11740158C2semidirect
9. #11740145C2semidirect
10. #11734859C2semidirect
11. #11734794C2semidirect
12. #11734575C2semidirect
13. #11734573C2semidirect
14. #11734439C2semidirect
15. #11734409C2semidirect
16. #11734320C2semidirect
17. #11734253C2semidirect
18. #11734214C2semidirect
19. #11734209C2semidirect
20. #11734203C2semidirect
21. #11734152C2semidirect
22. #11733883C2semidirect
23. #11733839C2semidirect
24. #11732819C2semidirect
25. #11732615C2semidirect
26. #11732362C2semidirect
27. #11732360C2semidirect
28. #11732317C2semidirect
29. #11732223C2semidirect
30. #11732073C2semidirect
31. #11731822C2semidirect
33. C2×C7×C22⋊Q8C22semidirect
35. C2×C7×#121C22semidirect
38. C2×#6509C22semidirect
45. C2×#6502C22semidirect
46. C2×#6502C22semidirect
47. C2×#6502C22semidirect
49. C2×#6501C22semidirect
53. C2×#6498C22semidirect
55. C2×#6493C22semidirect
57. C2×C4×C22⋊D7C22semidirect
58. C22×C4×Dic7C22semidirect
64. C2×#6452C22semidirect
72. C2×#6446C22semidirect
78. C2×#6440C22semidirect
83. C7×#394C22semidirect
84. C7×#393C22semidirect
87. C7×#390C22semidirect
88. C7×#387C22semidirect
90. C7×#386C22semidirect
91. C7×#385C22semidirect
92. #90001C22semidirect
97. #89995C22semidirect
104. #89982C22semidirect
108. #89764C22semidirect
112. #89761C22semidirect
114. #89760C22semidirect
115. #89759C22semidirect
116. #89756C22semidirect
117. #89755C22semidirect
118. #89750C22semidirect
119. #89748C22semidirect
120. C4⋊C4×Dic7C22semidirect
122. #89733C22semidirect
123. #89733C22semidirect
130. #89732C22semidirect
134. #89731C22semidirect
135. #89731C22semidirect
138. #89730C22semidirect
144. #89729C22semidirect
145. #89729C22semidirect
146. #89729C22semidirect
150. #89724C22semidirect
151. #89723C22semidirect
152. #89723C22semidirect
153. #89723C22semidirect
154. #89722C22semidirect
157. #89720C22semidirect
158. #89718C22semidirect
161. #89714C22semidirect
162. C22⋊C4×Dic7C22semidirect
163. #89712C22semidirect
164. #89700C22semidirect
172. #89442C22semidirect
176. #89441C22semidirect
177. #89441C22semidirect
178. #89440C22semidirect
181. #89437C22semidirect
182. #89429C22semidirect
183. #89429C22semidirect
184. #89427C22semidirect
185. #89426C22semidirect
186. #89420C22semidirect
187. #89419C22semidirect
188. #89419C22semidirect
362. (C22⋊D7)⋊C4D4semidirect
402. #2676D7semidirect
680. C2×C22⋊Q8C2×D7semidirect
697. C2×#121C2×D7semidirect
741. #394C2×D7semidirect
742. #393C2×D7semidirect
770. #390C2×D7semidirect
791. #387C2×D7semidirect
802. #386C2×D7semidirect
809. #385C2×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×#903692
C2×#903062
C7×#26762
#117404492
#117402732
#117402242
#117401632
#117401582
#117401452
#117348592
#117347942
#117345752
#117345732
#117344392
#117344092
#117343202
#117342532
#117342142
#117342092
#117342032
#117341522
#117338832
#117338392
#117328192
#117326152
#117323622
#117323602
#117323172
#117322232
#117320732
#117318222
#367447