Finite Group Databasebeta

← #13560941

Subgroups — #13560941

Order 1792.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2671C211yesmaximal, characteristic, complemented
2#11740354C211yesmaximal, characteristic, complemented
3#11740342C211yesmaximal, characteristic, complemented
4#11740168C211yesmaximal, characteristic, complemented
5#11740161C211yesmaximal, characteristic, complemented
6#11740160C211yesmaximal, characteristic, complemented
7#11740152C211yesmaximal, characteristic, complemented
8#11740152C211yesmaximal, characteristic, complemented
9#11740126C211yesmaximal, characteristic, complemented
10#11735568C211yesmaximal, characteristic, complemented
11#11735548C211yesmaximal, characteristic, complemented
12#11735441C211yesmaximal, characteristic, complemented
13#11735410C211yesmaximal, characteristic, complemented
14#11734594C211yesmaximal, characteristic, complemented
15#11734562C211yesmaximal, characteristic, complemented
16#11734559C211yesmaximal, characteristic, complemented
17#11734558C211yesmaximal, characteristic, complemented
18#11734496C211yesmaximal, characteristic, complemented
19#11734495C211yesmaximal, characteristic, complemented
20#11734207C211yesmaximal, characteristic, complemented
21#11734168C211yesmaximal, characteristic, complemented
22#11732380C211yesmaximal, characteristic, complemented
23#11732322C211yesmaximal, characteristic, complemented
24#11732278C211yesmaximal, characteristic, complemented
25#11732260C211yesmaximal, characteristic, complemented
26#11732090C211yesmaximal, characteristic, complemented
27#11732090C211yesmaximal, characteristic, complemented
28#11732053C211yesmaximal, characteristic, complemented
29#11732039C211yesmaximal, characteristic, complemented
30D7×#380C211yesmaximal, characteristic, complemented
31#11731422C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic, complemented
34C2×C7×#121C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic
36C2×C7×#121C2211yescharacteristic
37C2×#6502C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6501C2211yescharacteristic
40C2×#6501C2211yescharacteristic
41C2×#6501C2211yescharacteristic
42C2×#6501C2211yescharacteristic
43C2×#6501C2211yescharacteristic
44C2×#6500C2211yescharacteristic
45C2×#6500C2211yescharacteristic
46C2×#6500C2211yescharacteristic
47C2×#6498C2211yescharacteristic, complemented
48C2×#6492C2211yescharacteristic, complemented
49C2×C4×C22⋊D7C2211yescharacteristic
50C2×C4×C22⋊D7C2211yescharacteristic
51C2×#6456C2211yescharacteristic
52C2×D7×C4⋊C4C2211yescharacteristic
53C2×D7×C4⋊C4C2211yescharacteristic
54C2×#6447C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6447C2211yescharacteristic
57C2×#6447C2211yescharacteristic
58C2×#6446C2211yescharacteristic, complemented
59C2×#6445C2211yescharacteristic
60C2×(C22⋊D7)⋊C4C2211yescharacteristic
61C2×D7×C22⋊C4C2211yescharacteristic
62C2×D7×C22⋊C4C2211yescharacteristic
63C7×#399C2211yescharacteristic, complemented
64C7×#398C2211yescharacteristic, complemented
65C7×#394C2211yescharacteristic
66C7×#394C2211yescharacteristic
67C7×#394C2211yescharacteristic, complemented
68C7×#392C2211yescharacteristic, complemented
69C7×#386C2211yescharacteristic
70C7×#386C2211yescharacteristic, complemented
71C7×#385C2211yescharacteristic, complemented
72C7×#385C2211yescharacteristic, complemented
73C7×#380C2211yescharacteristic
74#89995C2211yescharacteristic
75#89995C2211yescharacteristic
76#89995C2211yescharacteristic, complemented
77#89995C2211yescharacteristic, complemented
78#89995C2211yescharacteristic, complemented
79#89994C2211yescharacteristic
80#89994C2211yescharacteristic
81#89994C2211yescharacteristic
82#89994C2211yescharacteristic
83#89994C2211yescharacteristic, complemented
84#89992C2211yescharacteristic
85#89992C2211yescharacteristic
86#89992C2211yescharacteristic, complemented
87#89985C2211yescharacteristic
88#89985C2211yescharacteristic
89#89985C2211yescharacteristic
90#89985C2211yescharacteristic, complemented
91#89984C2211yescharacteristic
92#89984C2211yescharacteristic
93#89982C2211yescharacteristic, complemented
94#89982C2211yescharacteristic, complemented
95#89766C2211yescharacteristic
96#89766C2211yescharacteristic
97#89766C2211yescharacteristic
98#89765C2211yescharacteristic, complemented
99#89764C2211yescharacteristic, complemented
100#89762C2211yescharacteristic, complemented
101#89761C2211yescharacteristic
102#89761C2211yescharacteristic
103#89761C2211yescharacteristic
104#89761C2211yescharacteristic, complemented
105#89761C2211yescharacteristic, complemented
106#89760C2211yescharacteristic
107#89759C2211yescharacteristic
108#89759C2211yescharacteristic
109#89759C2211yescharacteristic
110#89759C2211yescharacteristic
111#89756C2211yescharacteristic, complemented
112#89756C2211yescharacteristic, complemented
113#89756C2211yescharacteristic, complemented
114#89755C2211yescharacteristic, complemented
115#89754C2211yescharacteristic, complemented
116#89753C2211yescharacteristic, complemented
117#89752C2211yescharacteristic, complemented
118#89752C2211yescharacteristic, complemented
119#89750C2211yescharacteristic, complemented
120#89733C2211yescharacteristic, complemented
121#89732C2211yescharacteristic
122#89732C2211yescharacteristic
123#89731C2211yescharacteristic
124#89731C2211yescharacteristic
125#89731C2211yescharacteristic, complemented
126#89730C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic
129#89729C2211yescharacteristic
130#89728C2211yescharacteristic
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic
133#89728C2211yescharacteristic
134#89728C2211yescharacteristic
135#89728C2211yescharacteristic
136#89728C2211yescharacteristic
137#89728C2211yescharacteristic
138#89728C2211yescharacteristic
139#89728C2211yescharacteristic, complemented
140#89725C2211yescharacteristic, complemented
141#89724C2211yescharacteristic, complemented
142#89724C2211yescharacteristic, complemented
143#89723C2211yescharacteristic
144#89723C2211yescharacteristic
145#89723C2211yescharacteristic, complemented
146#89723C2211yescharacteristic, complemented
147#89722C2211yescharacteristic, complemented
148#89721C2211yescharacteristic, complemented
149#89721C2211yescharacteristic, complemented
150#89721C2211yescharacteristic, complemented
151#89721C2211yescharacteristic, complemented
152#89721C2211yescharacteristic, complemented
153#89718C2211yescharacteristic, complemented
154#89717C2211yescharacteristic
155#89717C2211yescharacteristic, complemented
156#89717C2211yescharacteristic, complemented
157#89716C2211yescharacteristic
158#89716C2211yescharacteristic, complemented
159#89716C2211yescharacteristic, complemented
160#89714C2211yescharacteristic
161#89714C2211yescharacteristic
162#89714C2211yescharacteristic
163#89449C2211yescharacteristic, complemented
164#89448C2211yescharacteristic
165#89442C2211yescharacteristic, complemented
166#89440C2211yescharacteristic
167#89439C2211yescharacteristic
168#89439C2211yescharacteristic
169#89439C2211yescharacteristic
170#89439C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175D7×#95C2211yescharacteristic
176D7×#95C2211yescharacteristic
177#89432C2211yescharacteristic, complemented
178#89432C2211yescharacteristic, complemented
179#89430C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89427C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89425C2211yescharacteristic, complemented
184#89425C2211yescharacteristic, complemented
185#89424C2211yescharacteristic, complemented
186#89424C2211yescharacteristic, complemented
187#36727—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×D4C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×C4×D7—24no—
213C22×C4×D7—42no—
214C22×C4×D7—42no—
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C7×#123—42no—
225C7×#121—42no—
226C7×#121—42no—
227C7×#121—42no—
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
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×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
267#6502—42no—
268#6502—42no—
269#6501—24no—
270#6501—42no—
271#6501—42no—
272#6501—42no—
273#6501—42no—
274#6500—42no—
275#6500—42no—
276#6500—42no—
277#6498—42no—
278#6492—42no—
279C4×C22⋊D7—42no—
280C4×C22⋊D7—42no—
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(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×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307C2×C4⋊Dic7C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328#6456—42no—
329D7×C4⋊C4—42no—
330D7×C4⋊C4—42no—
331#6447—24no—
332#6447—42no—
333#6447—42no—
334#6447—42no—
335#6446—42no—
336#6445—42no—
337(C22⋊D7)⋊C4—42no—
338D7×C22⋊C4—42no—
339D7×C22⋊C4—42no—
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376#2847—71no—
377#2847—71no—
378#2748—71no—
379#2748—71no—
380#2748—71no—
381#2748—71no—
382#2741—71no—
383#2741—71no—
384#2741—71no—
385#2741—71no—
386#2703—71no—
387#2703—71no—
388#2703—71no—
389#2703—71no—
390#2671—71no—
391#2671—71no—
392#2671—71no—
393#2671D711yescharacteristic, complemented
394#2656—71no—
395#2646—71no—
396#2443—71no—
397#2443—71no—
398#2443—71no—
399#2443—71no—
400#2424—71no—
401#2424—71no—
402#2424—71no—
403#2424—71no—
404#2325—71no—
405#2325—71no—
406C2×#380—71no—
407C24×C7C2411yescharacteristic
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C24×C7C2411yescharacteristic
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—22no—
414C23×D7—22no—
415C23×D7—22no—
416C23×D7—41no—
417C23×D7—41no—
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C2×C7×D4—22no—
425C2×C7×D4—41no—
426C2×C7×D4—41no—
427C2×C7×D4—41no—
428C2×C7×D4—41no—
429C2×C7×D4—41no—
430C2×C7×D4—41no—
431C2×C7×D4—41no—
432C2×C7×D4—41no—
433C2×C7×D4—41no—
434C2×C7×D4—41no—
435C2×C7×D4—41no—
436C2×C7×D4—41no—
437C2×C7×D4—41no—
438C2×C7×D4—41no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7—41no—
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C2×C22⋊D7—41no—
484C2×C22⋊D7—41no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7—41no—
487C2×C22⋊D7—41no—
488C2×C22⋊D7—41no—
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—41no—
492C22×Dic7—41no—
493C22×Dic7—41no—
494C22×Dic7—41no—
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C2×D28—22no—
509C2×D28—22no—
510C2×D28—22no—
511C2×D28—22no—
512C2×D28—41no—
513C2×D28—41no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×C4×D7—22no—
520C2×C4×D7—22no—
521C2×C4×D7—22no—
522C2×C4×D7—22no—
523C2×C4×D7—22no—
524C2×C4×D7—22no—
525C2×C4×D7—416no—
526C2×C4×D7—41no—
527C2×C4×D7—41no—
528C2×C4×D7—41no—
529C2×C4×D7—41no—
530C2×C4×D7—41no—
531C2×C4×D7—41no—
532C2×C4×D7—41no—
533C2×C4×D7—41no—
534C2×C4×D7—41no—
535C2×C4×D7—41no—
536C2×C4×D7—41no—
537C2×C4×D7—41no—
538C2×C4×D7—41no—
539C2×C4×D7—41no—
540C2×C4×D7—41no—
541C2×C4×D7#4114yes—
542C7×C4⋊C4—22no—
543C7×C4⋊C4—41no—
544C7×C4⋊C4—41no—
545C7×C4⋊C4—41no—
546C7×C4⋊C4—41no—
547C7×C4⋊C4—41no—
548C7×C4⋊C4—41no—
549C7×C22⋊C4—22no—
550C7×C22⋊C4—22no—
551C7×C22⋊C4—22no—
552C7×C22⋊C4—22no—
553C7×C22⋊C4—22no—
554C7×C22⋊C4—22no—
555C7×C22⋊C4—41no—
556C7×C22⋊C4—41no—
557C7×C22⋊C4—41no—
558C7×C22⋊C4—41no—
559C7×C22⋊C4—41no—
560C7×C22⋊C4—41no—
561C7×C22⋊C4—41no—
562C22⋊Dic7—22no—
563C22⋊Dic7—22no—
564C22⋊Dic7—22no—
565C22⋊Dic7—22no—
566C22⋊Dic7—22no—
567C22⋊Dic7—22no—
568C22⋊Dic7—22no—
569C22⋊Dic7—41no—
570C22⋊Dic7—41no—
571C22⋊Dic7—41no—
572C22⋊Dic7—41no—
573C22⋊Dic7—41no—
574C22⋊Dic7—41no—
575C22⋊Dic7—41no—
576C22⋊Dic7—41no—
577C22⋊Dic7—41no—
578C22⋊Dic7—41no—
579C22⋊Dic7—41no—
580C22⋊Dic7—41no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—22no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—22no—
587(C2×D7)⋊C4—22no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4—41no—
596(C2×D7)⋊C4—41no—
597(C2×D7)⋊C4—41no—
598(C2×D7)⋊C4—41no—
599(C2×D7)⋊C4—41no—
600(C2×D7)⋊C4—41no—
601C4⋊Dic7—22no—
602C4⋊Dic7—22no—
603C4⋊Dic7—41no—
604C4⋊Dic7—41no—
605C4⋊Dic7—41no—
606C4⋊Dic7—41no—
607C4⋊Dic7—41no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—41no—
612Dic7⋊C4—41no—
613Dic7⋊C4—41no—
614Dic7⋊C4—41no—
615Dic7⋊C4—41no—
616Dic7⋊C4—41no—
617Dic7⋊C4—41no—
618Dic7⋊C4—41no—
619Dic7⋊C4—41no—
620Dic7⋊C4—41no—
621Dic7⋊C4—41no—
622Dic7⋊C4—41no—
623Dic7⋊C4—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7—41no—
627C4×Dic7—41no—
628C24×C4—71no—
629C2×#123—71no—
630C2×#123—71no—
631C2×#123—71no—
632C2×#123C2×D711yescharacteristic, complemented
633C2×#121—71no—
634C2×#121—71no—
635C2×#121—71no—
636C2×#121—71no—
637C2×#121—71no—
638C2×#121—71no—
639C2×#121—71no—
640C2×#121—71no—
641C2×#121—71no—
642C2×#121—71no—
643C2×#121—71no—
644C2×#121C2×D711yescharacteristic
645C2×#121C2×D711yescharacteristic
646C2×#121C2×D711yescharacteristic
647C2×#120—71no—
648C2×#120—71no—
649C2×#120—71no—
650C2×#120—71no—
651C2×C4×D4—71no—
652C2×C4×D4—71no—
653C2×C4×D4—71no—
654C2×C4×D4—71no—
655C22×C4⋊C4—71no—
656C22×C4⋊C4—71no—
657C22×C22⋊C4—71no—
658C22×C22⋊C4—71no—
659#400—71no—
660#400—71no—
661#400—71no—
662#400—71no—
663#399—71no—
664#399—71no—
665#399—71no—
666#399—71no—
667#399—71no—
668#399—71no—
669#399—71no—
670#399C2×D711yescharacteristic, complemented
671#398—71no—
672#398—71no—
673#398—71no—
674#398—71no—
675#398—71no—
676#398—71no—
677#398—71no—
678#398C2×D711yescharacteristic, complemented
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#396—71no—
684#396—71no—
685#396—71no—
686#396—71no—
687#394—71no—
688#394—71no—
689#394—71no—
690#394—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#394C2×D711yescharacteristic
697#394C2×D711yescharacteristic
698#394C2×D711yescharacteristic, complemented
699#392—71no—
700#392—71no—
701#392—71no—
702#392—71no—
703#392—71no—
704#392—71no—
705#392—71no—
706#392C2×D711yescharacteristic, complemented
707#390—71no—
708#390—71no—
709#390—71no—
710#390—71no—
711#388—71no—
712#388—71no—
713#388—71no—
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#387—71no—
724#387—71no—
725#387—71no—
726#387—71no—
727#387—71no—
728#387—71no—
729#387—71no—
730#387—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386C2×D711yescharacteristic
754#386C2×D711yescharacteristic, complemented
755#385—71no—
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#385—71no—
765#385C2×D711yescharacteristic, complemented
766#385C2×D711yescharacteristic, complemented
767#380—71no—
768#380—71no—
769#380—71no—
770#380—71no—
771#380—71no—
772#380—71no—
773#380—71no—
774#380—71no—
775#380—71no—
776#380—71no—
777#380—71no—
778#380—71no—
779#380—71no—
780#380C2×D711yescharacteristic
781C2×#95—71no—
782C2×#95—71no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7H(5,𝔽2)12yes—
811C23×C7C2511yescharacteristic
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—28no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—44no—
831C22×D7—44no—
832C22×D7—44no—
833C22×D7—44no—
834C22×D7—44no—
835C22×D7—44no—
836C22×D7C2×#4112yes—
837C22×D7H(5,𝔽2)12yes—
838C22×D7H(5,𝔽2)12yes—
839C22×D72−1+412yes—
840C7×D4—82no—
841C7×D4—82no—
842C7×D4—82no—
843C7×D4—82no—
844C7×D4—82no—
845C7×D4—82no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—44no—
878C2×C4×C7—82no—
879C2×C4×C7—82no—
880C2×C4×C7C2×#4112yes—
881C2×C4×C7H(5,𝔽2)12yes—
882C22⋊D7—44no—
883C22⋊D7—44no—
884C22⋊D7—44no—
885C22⋊D7—82no—
886C22⋊D7—82no—
887C22⋊D7—82no—
888C22⋊D7—82no—
889C22⋊D7—82no—
890C22⋊D7—82no—
891C22⋊D7—82no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—21no—
922C2×Dic7—21no—
923C2×Dic7—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—21no—
928C2×Dic7—21no—
929C2×Dic7—44no—
930C2×Dic7—82no—
931C2×Dic7C2×#4112yes—
932C2×Dic7H(5,𝔽2)12yes—
933D28—44no—
934D28—82no—
935C4×D7—28no—
936C4×D7—44no—
937C4×D7—44no—
938C4×D7—44no—
939C4×D7—82no—
940C4×D7—82no—
941C4×D7—82no—
942C4×D7—82no—
943C4×D7—82no—
944C25—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
949C22×D4—71no—
950C22×D4—71no—
951C22×D4—71no—
952C22×D4—71no—
953C22×D4—71no—
954C22×D4—71no—
955C22×D4—71no—
956C22×D4—71no—
957C22×D4C22×D711yescharacteristic
958C22×D4C22×D711yescharacteristic
959C22×D4C22×D711yescharacteristic
960C22×D4C22×D711yescharacteristic
961C22×D4C22×D711yescharacteristic
962C22×D4C22×D711yescharacteristic
963C23×C4—71no—
964C23×C4—71no—
965C23×C4—71no—
966C23×C4—71no—
967C23×C4—71no—
968C23×C4—71no—
969C23×C4—71no—
970C23×C4—71no—
971C23×C4—71no—
972C23×C4—71no—
973C23×C4—71no—
974C23×C4—144no—
975C23×C4—282no—
976C23×C4—282no—
977C23×C4C22×D711yescharacteristic
978C23×C4C22×D711yescharacteristic
979C23×C4C22×D711yescharacteristic
980#123—42no—
981#123—282no—
982#123—282no—
983#123—282no—
984#121—42no—
985#121—42no—
986#121—42no—
987#121—144no—
988#121—144no—
989#121—282no—
990#121—282no—
991#121—282no—
992#121—282no—
993#121—282no—
994#121—282no—
995#121—282no—
996#121—282no—
997#121—282no—
998#120—282no—
999#120—282no—
1000#120—282no—
1001#120—282no—
1002C4×D4—282no—
1003C4×D4—282no—
1004C4×D4—282no—
1005C4×D4—282no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—71no—
1021C2×C4⋊C4—71no—
1022C2×C4⋊C4—71no—
1023C2×C4⋊C4—71no—
1024C2×C4⋊C4—71no—
1025C2×C4⋊C4—71no—
1026C2×C4⋊C4—71no—
1027C2×C4⋊C4—71no—
1028C2×C4⋊C4—71no—
1029C2×C4⋊C4—282no—
1030C2×C4⋊C4—282no—
1031C2×C4⋊C4C22×D711yescharacteristic
1032C2×C4⋊C4C22×D711yescharacteristic
1033C2×C4⋊C4C22×D711yescharacteristic
1034C2×C4⋊C4C22×D711yescharacteristic
1035C2×C4⋊C4C22×D711yescharacteristic
1036C2×C4⋊C4C22×D711yescharacteristic
1037C2×C4⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—282no—
1078C2×C22⋊C4—282no—
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C22⋊C4C22×D711yescharacteristic
1082C2×C22⋊C4C22×D711yescharacteristic
1083C2×C22⋊C4C22×D711yescharacteristic
1084C2×C22⋊C4C22×D711yescharacteristic
1085C2×C22⋊C4C22×D711yescharacteristic
1086C2×C22⋊C4C22×D711yescharacteristic
1087C2×C22⋊C4C22×D711yescharacteristic
1088C2×C22⋊C4C22×D711yescharacteristic
1089C2×C22⋊C4C22×D711yescharacteristic
1090C2×C22⋊C4C22×D711yescharacteristic
1091C2×C22⋊C4C22×D711yescharacteristic
1092C2×C42—71no—
1093C2×C42—71no—
1094C2×C42—71no—
1095C2×C42—71no—
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95—71no—
1123#95—71no—
1124#95—71no—
1125#95—71no—
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130#95C22×D711yescharacteristic
1131#95C22×D711yescharacteristic
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7—41no—
1147C22×C7—41no—
1148C22×C7—41no—
1149C22×C7—41no—
1150C22×C7—41no—
1151C22×C7—41no—
1152C22×C7—41no—
1153C22×C7—41no—
1154C22×C7—41no—
1155C22×C7—41no—
1156C22×C7—41no—
1157C22×C7—41no—
1158C22×C7—41no—
1159C22×C7—41no—
1160C22×C7C22×#4111yescharacteristic
1161C22×C7C2×H(5,𝔽2)11yescharacteristic
1162C22×C7C2×H(5,𝔽2)11yescharacteristic
1163C22×C7C2×H(5,𝔽2)11yescharacteristic
1164C22×C7C2×H(5,𝔽2)11yescharacteristic
1165C22×C7C2×H(5,𝔽2)11yescharacteristic
1166C22×C7C2×2−1+411yescharacteristic
1167C2×D7—22no—
1168C2×D7—22no—
1169C2×D7—22no—
1170C2×D7—22no—
1171C2×D7—22no—
1172C2×D7—22no—
1173C2×D7—22no—
1174C2×D7—22no—
1175C2×D7—22no—
1176C2×D7—416no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C2×D7—41no—
1181C2×D7—41no—
1182C2×D7—41no—
1183C2×D7—41no—
1184C2×D7—41no—
1185C2×D7—41no—
1186C2×D7—41no—
1187C2×D7—41no—
1188C2×D7#54014yes—
1189C4×C7—22no—
1190C4×C7—22no—
1191C4×C7—41no—
1192C4×C7—41no—
1193C4×C7—41no—
1194C4×C7—41no—
1195C4×C7—41no—
1196C4×C7—41no—
1197C4×C7—41no—
1198C4×C7—41no—
1199C4×C7—41no—
1200Dic7—22no—
1201Dic7—22no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205Dic7—41no—
1206Dic7—41no—
1207Dic7—41no—
1208Dic7—41no—
1209Dic7—41no—
1210Dic7—41no—
1211Dic7—41no—
1212Dic7—41no—
1213C24—71no—
1214C24—71no—
1215C24—71no—
1216C24—142no—
1217C24—142no—
1218C24—142no—
1219C24—142no—
1220C24—142no—
1221C24—281no—
1222C24—281no—
1223C24C23×D711yescharacteristic
1224C24C23×D711yescharacteristic
1225C24C23×D711yescharacteristic
1226C24C23×D711yescharacteristic
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—142no—
1246C2×D4—142no—
1247C2×D4—142no—
1248C2×D4—142no—
1249C2×D4—142no—
1250C2×D4—142no—
1251C2×D4—142no—
1252C2×D4—142no—
1253C2×D4—142no—
1254C2×D4—142no—
1255C2×D4—142no—
1256C2×D4—142no—
1257C2×D4—142no—
1258C2×D4—142no—
1259C2×D4—142no—
1260C2×D4—142no—
1261C2×D4—142no—
1262C2×D4—142no—
1263C2×D4—281no—
1264C2×D4—281no—
1265C2×D4—281no—
1266C2×D4—281no—
1267C2×D4—281no—
1268C2×D4—281no—
1269C2×D4—281no—
1270C2×D4—281no—
1271C2×D4—281no—
1272C2×D4—281no—
1273C2×D4—281no—
1274C2×D4—281no—
1275C2×D4—281no—
1276C2×D4—281no—
1277C2×D4—281no—
1278C2×D4—281no—
1279C2×D4—281no—
1280C2×D4—281no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—71no—
1291C22×C4—71no—
1292C22×C4—74no—
1293C22×C4—71no—
1294C22×C4—71no—
1295C22×C4—71no—
1296C22×C4—71no—
1297C22×C4—71no—
1298C22×C4—71no—
1299C22×C4—71no—
1300C22×C4—71no—
1301C22×C4—71no—
1302C22×C4—71no—
1303C22×C4—71no—
1304C22×C4—142no—
1305C22×C4—142no—
1306C22×C4—142no—
1307C22×C4—142no—
1308C22×C4—142no—
1309C22×C4—142no—
1310C22×C4—142no—
1311C22×C4—142no—
1312C22×C4—142no—
1313C22×C4—142no—
1314C22×C4—142no—
1315C22×C4—142no—
1316C22×C4—142no—
1317C22×C4—281no—
1318C22×C4—281no—
1319C22×C4—281no—
1320C22×C4—281no—
1321C22×C4—281no—
1322C22×C4—281no—
1323C22×C4—281no—
1324C22×C4—281no—
1325C22×C4—281no—
1326C22×C4—281no—
1327C22×C4—281no—
1328C22×C4—281no—
1329C22×C4—281no—
1330C22×C4—281no—
1331C22×C4—281no—
1332C22×C4—2816no—
1333C22×C4—281no—
1334C22×C4—281no—
1335C22×C4—281no—
1336C22×C4—281no—
1337C22×C4C23×D711yescharacteristic
1338C22×C4C23×D711yescharacteristic
1339C22×C4C23×D711yescharacteristic
1340C22×C4C23×D711yescharacteristic
1341C22×C4C23×D711yescharacteristic
1342C22×C4C23×D711yescharacteristic
1343C22×C4C23×D711yescharacteristic
1344C22×C4C23×D711yescharacteristic
1345C22×C4C23×D711yescharacteristic
1346C22×C4C23×D711yescharacteristic
1347C22×C4C23×D711yescharacteristic
1348C4⋊C4—22no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—142no—
1356C4⋊C4—142no—
1357C4⋊C4—142no—
1358C4⋊C4—142no—
1359C4⋊C4—142no—
1360C4⋊C4—281no—
1361C4⋊C4—281no—
1362C4⋊C4—281no—
1363C4⋊C4—281no—
1364C4⋊C4—281no—
1365C4⋊C4—281no—
1366C4⋊C4—281no—
1367C4⋊C4—281no—
1368C4⋊C4—281no—
1369C4⋊C4—281no—
1370C4⋊C4—281no—
1371C4⋊C4—281no—
1372C4⋊C4—281no—
1373C4⋊C4—281no—
1374C4⋊C4—281no—
1375C4⋊C4—281no—
1376C4⋊C4—281no—
1377C4⋊C4—281no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—142no—
1392C22⋊C4—142no—
1393C22⋊C4—142no—
1394C22⋊C4—142no—
1395C22⋊C4—142no—
1396C22⋊C4—142no—
1397C22⋊C4—142no—
1398C22⋊C4—142no—
1399C22⋊C4—142no—
1400C22⋊C4—142no—
1401C22⋊C4—142no—
1402C22⋊C4—142no—
1403C22⋊C4—142no—
1404C22⋊C4—142no—
1405C22⋊C4—281no—
1406C22⋊C4—281no—
1407C22⋊C4—281no—
1408C22⋊C4—281no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
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—281no—
1426C22⋊C4—281no—
1427C22⋊C4—281no—
1428C22⋊C4—281no—
1429C22⋊C4—281no—
1430C42—281no—
1431C42—281no—
1432C42—281no—
1433C42—281no—
1434C2×C7—42no—
1435C2×C7—81no—
1436C2×C7—81no—
1437C2×C7—81no—
1438C2×C7C2×#54011yescharacteristic
1439C2×C7#349011yescharacteristic
1440C2×C7#349211yescharacteristic
1441C2×C7#353611yescharacteristic
1442C2×C7#353611yescharacteristic
1443C2×C7#353711yescharacteristic
1444C2×C7#353711yescharacteristic
1445D7—24no—
1446D7—42no—
1447D7—81no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—72no—
1476C23—72no—
1477C23—72no—
1478C23—72no—
1479C23—148no—
1480C23—141no—
1481C23—141no—
1482C23—141no—
1483C23—141no—
1484C23—141no—
1485C23—141no—
1486C23—141no—
1487C23—141no—
1488C23—141no—
1489C23—141no—
1490C23—141no—
1491C23—141no—
1492C23—141no—
1493C23—141no—
1494C23—141no—
1495C23—141no—
1496C23—141no—
1497C23—284no—
1498C23—284no—
1499C23—284no—
1500C23—284no—
1501C23—284no—
1502C23—284no—
1503C23#654812yes—
1504C23C24×D711yescharacteristic
1505D4—82no—
1506D4—82no—
1507D4—82no—
1508D4—82no—
1509D4—82no—
1510D4—82no—
1511D4—284no—
1512D4—284no—
1513D4—284no—
1514D4—284no—
1515D4—562no—
1516D4—562no—
1517D4—562no—
1518D4—562no—
1519D4—562no—
1520D4—562no—
1521D4—562no—
1522D4—562no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—44no—
1555C2×C4—72no—
1556C2×C4—72no—
1557C2×C4—82no—
1558C2×C4—82no—
1559C2×C4—148no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—141no—
1572C2×C4—141no—
1573C2×C4—141no—
1574C2×C4—141no—
1575C2×C4—141no—
1576C2×C4—141no—
1577C2×C4—141no—
1578C2×C4—141no—
1579C2×C4—141no—
1580C2×C4—141no—
1581C2×C4—141no—
1582C2×C4—141no—
1583C2×C4—141no—
1584C2×C4—141no—
1585C2×C4—141no—
1586C2×C4—141no—
1587C2×C4—141no—
1588C2×C4—141no—
1589C2×C4—141no—
1590C2×C4—141no—
1591C2×C4—141no—
1592C2×C4—141no—
1593C2×C4—141no—
1594C2×C4—141no—
1595C2×C4—141no—
1596C2×C4—141no—
1597C2×C4—284no—
1598C2×C4—284no—
1599C2×C4—284no—
1600C2×C4—284no—
1601C2×C4—562no—
1602C2×C4—562no—
1603C2×C4—562no—
1604C2×C4—562no—
1605C2×C4—562no—
1606C2×C4—562no—
1607C2×C4#654812yes—
1608C2×C4D7×#4112yes—
1609C7#3672711yescharacteristic, complemented, Sylow
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—74no—
1639C22—142no—
1640C22—142no—
1641C22—142no—
1642C22—142no—
1643C22—142no—
1644C22—142no—
1645C22—142no—
1646C22—142no—
1647C22—142no—
1648C22—2816no—
1649C22—281no—
1650C22—281no—
1651C22—281no—
1652C22—281no—
1653C22—281no—
1654C22—281no—
1655C22—281no—
1656C22—281no—
1657C22—281no—
1658C22—281no—
1659C22—281no—
1660C22C2×#654811yescharacteristic
1661C22C2×#654811yescharacteristic
1662C22C2×D7×#4111yescharacteristic
1663C22D7×H(5,𝔽2)11yescharacteristic
1664C22D7×H(5,𝔽2)11yescharacteristic
1665C22D7×H(5,𝔽2)11yescharacteristic
1666C22D7×2−1+411yescharacteristic
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—142no—
1679C4—142no—
1680C4—281no—
1681C4—281no—
1682C4—281no—
1683C4—281no—
1684C4—281no—
1685C4—281no—
1686C4—281no—
1687C4—281no—
1688C4—281no—
1689C4—281no—
1690C4—281no—
1691C2—42no—
1692C2—81no—
1693C2—81no—
1694C2—81no—
1695C2—144no—
1696C2—282no—
1697C2—561no—
1698C2#1174336911yescharacteristic
1699C2#1174345211yescharacteristic
1700C2D7×#54011yescharacteristic
1701C2#1174369111yescharacteristic
1702C2#1174373211yescharacteristic
1703C2#1174376911yescharacteristic
1704C2#1174416311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2671C2
hypercenter#2671D7
hypocenterC7#36727
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. C7×#2671C2semidirect
2. #11740354C2semidirect
3. #11740342C2semidirect
4. #11740168C2semidirect
5. #11740161C2semidirect
6. #11740160C2semidirect
7. #11740152C2semidirect
8. #11740152C2semidirect
9. #11740126C2semidirect
10. #11735568C2semidirect
11. #11735548C2semidirect
12. #11735441C2semidirect
13. #11735410C2semidirect
14. #11734594C2semidirect
15. #11734562C2semidirect
16. #11734559C2semidirect
17. #11734558C2semidirect
18. #11734496C2semidirect
19. #11734495C2semidirect
20. #11734207C2semidirect
21. #11734168C2semidirect
22. #11732380C2semidirect
23. #11732322C2semidirect
24. #11732278C2semidirect
25. #11732260C2semidirect
26. #11732090C2semidirect
27. #11732090C2semidirect
28. #11732053C2semidirect
29. #11732039C2semidirect
30. D7×#380C2semidirect
31. #11731422C2semidirect
33. C2×C7×#123C22semidirect
47. C2×#6498C22semidirect
48. C2×#6492C22semidirect
58. C2×#6446C22semidirect
63. C7×#399C22semidirect
64. C7×#398C22semidirect
67. C7×#394C22semidirect
68. C7×#392C22semidirect
70. C7×#386C22semidirect
71. C7×#385C22semidirect
72. C7×#385C22semidirect
76. #89995C22semidirect
77. #89995C22semidirect
78. #89995C22semidirect
83. #89994C22semidirect
86. #89992C22semidirect
90. #89985C22semidirect
93. #89982C22semidirect
94. #89982C22semidirect
98. #89765C22semidirect
99. #89764C22semidirect
100. #89762C22semidirect
104. #89761C22semidirect
105. #89761C22semidirect
111. #89756C22semidirect
112. #89756C22semidirect
113. #89756C22semidirect
114. #89755C22semidirect
115. #89754C22semidirect
116. #89753C22semidirect
117. #89752C22semidirect
118. #89752C22semidirect
119. #89750C22semidirect
120. #89733C22semidirect
125. #89731C22semidirect
139. #89728C22semidirect
140. #89725C22semidirect
141. #89724C22semidirect
142. #89724C22semidirect
145. #89723C22semidirect
146. #89723C22semidirect
147. #89722C22semidirect
148. #89721C22semidirect
149. #89721C22semidirect
150. #89721C22semidirect
151. #89721C22semidirect
152. #89721C22semidirect
153. #89718C22semidirect
155. #89717C22semidirect
156. #89717C22semidirect
158. #89716C22semidirect
159. #89716C22semidirect
163. #89449C22semidirect
165. #89442C22semidirect
177. #89432C22semidirect
178. #89432C22semidirect
179. #89430C22semidirect
180. #89429C22semidirect
181. #89427C22semidirect
182. #89426C22semidirect
183. #89425C22semidirect
184. #89425C22semidirect
185. #89424C22semidirect
186. #89424C22semidirect
393. #2671D7semidirect
632. C2×#123C2×D7semidirect
670. #399C2×D7semidirect
678. #398C2×D7semidirect
698. #394C2×D7semidirect
706. #392C2×D7semidirect
754. #386C2×D7semidirect
765. #385C2×D7semidirect
766. #385C2×D7semidirect
1609. C7#36727semidirect

Maximal subgroups

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

subgroupindex
C7×#26712
#117403542
#117403422
#117401682
#117401612
#117401602
#117401522
#117401262
#117355682
#117355482
#117354412
#117354102
#117345942
#117345622
#117345592
#117345582
#117344962
#117344952
#117342072
#117341682
#117323802
#117323222
#117322782
#117322602
#117320902
#117320532
#117320392
D7×#3802
#117314222
#367277