Finite Group Databasebeta

← #13562102

Subgroups — #13562102

Order 1792.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2405C211yesmaximal, characteristic, complemented
2#11741493C211yesmaximal, characteristic
3C2×#89992C211yesmaximal, characteristic, complemented
4#11740326C211yesmaximal, characteristic, complemented
5#11740322C211yesmaximal, characteristic, complemented
6#11740320C211yesmaximal, characteristic, complemented
7#11740319C211yesmaximal, characteristic, complemented
8#11739552C211yesmaximal, characteristic, complemented
9#11739539C211yesmaximal, characteristic, complemented
10#11734595C211yesmaximal, characteristic, complemented
11#11734514C211yesmaximal, characteristic, complemented
12#11734499C211yesmaximal, characteristic, complemented
13#11734498C211yesmaximal, characteristic, complemented
14#11734488C211yesmaximal, characteristic, complemented
15#11734473C211yesmaximal, characteristic, complemented
16#11734457C211yesmaximal, characteristic, complemented
17#11734451C211yesmaximal, characteristic, complemented
18#11732281C211yesmaximal, characteristic, complemented
19#11732279C211yesmaximal, characteristic, complemented
20#11732252C211yesmaximal, characteristic, complemented
21#11732249C211yesmaximal, characteristic, complemented
22#11732070C211yesmaximal, characteristic, complemented
23#11731949C211yesmaximal, characteristic, complemented
24#11731909C211yesmaximal, characteristic, complemented
25#11731869C211yesmaximal, characteristic, complemented
26#11731292C211yesmaximal, characteristic, complemented
27#11731291C211yesmaximal, characteristic, complemented
28#11731276C211yesmaximal, characteristic, complemented
29#11731273C211yesmaximal, characteristic, complemented
30#11731271C211yesmaximal, characteristic, complemented
31#11731266C211yesmaximal, characteristic, complemented
32C23×C7×D4C2211yescharacteristic
33C24×Dic7C2211yescharacteristic
34C2×C7×#123C2211yescharacteristic
35C2×C7×#123C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C2×#6516C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C22×C22⋊Dic7C2211yescharacteristic
41C22×C22⋊Dic7C2211yescharacteristic
42C22×C22⋊Dic7C2211yescharacteristic
43C2×#6502C2211yescharacteristic
44C2×#6502C2211yescharacteristic
45C2×#6492C2211yescharacteristic, complemented
46C2×#6449C2211yescharacteristic, complemented
47C2×#6449C2211yescharacteristic, complemented
48C2×#6446C2211yescharacteristic, complemented
49C2×(C22⋊D7)⋊C4C2211yescharacteristic
50C2×#6442C2211yescharacteristic, complemented
51C2×#6441C2211yescharacteristic
52C2×#6441C2211yescharacteristic, complemented
53C2×#6441C2211yescharacteristic, complemented
54C2×#6441C2211yescharacteristic, complemented
55C7×#394C2211yescharacteristic
56C7×#394C2211yescharacteristic
57C7×#394C2211yescharacteristic
58C7×#394C2211yescharacteristic
59C7×#386C2211yescharacteristic
60C7×#386C2211yescharacteristic
61C7×#385C2211yescharacteristic
62C7×#385C2211yescharacteristic
63C7×#379C2211yescharacteristic
64C7×#379C2211yescharacteristic
65C7×#379C2211yescharacteristic
66#90019C2211yescharacteristic
67#89995C2211yescharacteristic
68#89995C2211yescharacteristic
69#89994C2211yescharacteristic
70#89994C2211yescharacteristic
71#89992C2211yescharacteristic
72#89992C2211yescharacteristic
73#89992C2211yescharacteristic
74#89992C2211yescharacteristic
75#89992C2211yescharacteristic
76#89992C2211yescharacteristic
77#89992C2211yescharacteristic
78#89992C2211yescharacteristic
79#89992C2211yescharacteristic
80#89992C2211yescharacteristic
81#89985C2211yescharacteristic
82#89985C2211yescharacteristic, complemented
83#89984C2211yescharacteristic, complemented
84#89984C2211yescharacteristic, complemented
85#89984C2211yescharacteristic, complemented
86#89984C2211yescharacteristic, complemented
87#89983C2211yescharacteristic, complemented
88#89982C2211yescharacteristic
89#89982C2211yescharacteristic, complemented
90C2×C7⋊#95C2211yescharacteristic
91C2×C7⋊#95C2211yescharacteristic
92#89766C2211yescharacteristic, complemented
93#89766C2211yescharacteristic, complemented
94#89765C2211yescharacteristic, complemented
95#89759C2211yescharacteristic, complemented
96#89758C2211yescharacteristic, complemented
97#89758C2211yescharacteristic, complemented
98#89756C2211yescharacteristic, complemented
99#89756C2211yescharacteristic, complemented
100#89755C2211yescharacteristic, complemented
101#89755C2211yescharacteristic, complemented
102#89754C2211yescharacteristic, complemented
103#89754C2211yescharacteristic, complemented
104#89752C2211yescharacteristic, complemented
105#89749C2211yescharacteristic, complemented
106#89746C2211yescharacteristic, complemented
107#89745C2211yescharacteristic, complemented
108#89733C2211yescharacteristic, complemented
109#89731C2211yescharacteristic, complemented
110#89731C2211yescharacteristic, complemented
111#89731C2211yescharacteristic, complemented
112#89730C2211yescharacteristic
113#89730C2211yescharacteristic
114#89730C2211yescharacteristic
115#89730C2211yescharacteristic, complemented
116#89730C2211yescharacteristic, complemented
117#89729C2211yescharacteristic, complemented
118#89729C2211yescharacteristic, complemented
119#89728C2211yescharacteristic, complemented
120#89728C2211yescharacteristic, complemented
121#89728C2211yescharacteristic, complemented
122#89725C2211yescharacteristic, complemented
123#89724C2211yescharacteristic, complemented
124#89724C2211yescharacteristic, complemented
125#89724C2211yescharacteristic, complemented
126#89724C2211yescharacteristic, complemented
127#89724C2211yescharacteristic, complemented
128#89723C2211yescharacteristic, complemented
129#89723C2211yescharacteristic, complemented
130#89722C2211yescharacteristic
131#89722C2211yescharacteristic
132#89722C2211yescharacteristic
133#89722C2211yescharacteristic
134#89722C2211yescharacteristic
135#89722C2211yescharacteristic, complemented
136#89722C2211yescharacteristic, complemented
137#89722C2211yescharacteristic, complemented
138#89722C2211yescharacteristic, complemented
139#89722C2211yescharacteristic, complemented
140#89722C2211yescharacteristic, complemented
141#89722C2211yescharacteristic, complemented
142#89722C2211yescharacteristic, complemented
143#89722C2211yescharacteristic, complemented
144#89721C2211yescharacteristic, complemented
145#89721C2211yescharacteristic, complemented
146#89720C2211yescharacteristic, complemented
147#89720C2211yescharacteristic, complemented
148#89720C2211yescharacteristic, complemented
149#89719C2211yescharacteristic, complemented
150#89718C2211yescharacteristic
151#89718C2211yescharacteristic
152#89718C2211yescharacteristic, complemented
153#89718C2211yescharacteristic, complemented
154#89718C2211yescharacteristic, complemented
155#89717C2211yescharacteristic, complemented
156#89717C2211yescharacteristic, complemented
157#89717C2211yescharacteristic, complemented
158#89717C2211yescharacteristic, complemented
159#89716C2211yescharacteristic, complemented
160#89716C2211yescharacteristic, complemented
161#89716C2211yescharacteristic, complemented
162#89715C2211yescharacteristic, complemented
163#89715C2211yescharacteristic, complemented
164#89714C2211yescharacteristic
165#89714C2211yescharacteristic
166#89714C2211yescharacteristic
167#89714C2211yescharacteristic, complemented
168#89714C2211yescharacteristic, complemented
169#89714C2211yescharacteristic, complemented
170C22⋊C4×Dic7C2211yescharacteristic
171#89447C2211yescharacteristic, complemented
172#89446C2211yescharacteristic, complemented
173#89445C2211yescharacteristic, complemented
174#89440C2211yescharacteristic, complemented
175C7⋊#401C2211yescharacteristic, complemented
176#89432C2211yescharacteristic, complemented
177#89432C2211yescharacteristic, complemented
178#89432C2211yescharacteristic, complemented
179#89431C2211yescharacteristic, complemented
180#89431C2211yescharacteristic, complemented
181#89430C2211yescharacteristic, complemented
182#89430C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89425C2211yescharacteristic, complemented
187#36775—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C25×C7C2311yescharacteristic
190C22×C7×D4—24no—
191C22×C7×D4—42no—
192C22×C7×D4—42no—
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C23×Dic7—42no—
206C23×Dic7—42no—
207C23×Dic7—42no—
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C23×Dic7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×Dic14C2311yescharacteristic
220C7×#123—42no—
221C7×#123—42no—
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4—24no—
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊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
245#6516—24no—
246#6516—42no—
247C2×C22⋊Dic7—42no—
248C2×C22⋊Dic7—42no—
249C2×C22⋊Dic7—42no—
250C2×C22⋊Dic7—42no—
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
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274C2×C22⋊Dic7C2311yescharacteristic
275C2×C22⋊Dic7C2311yescharacteristic
276#6502—42no—
277#6502—42no—
278#6492—42no—
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317#6449—42no—
318#6449—42no—
319#6446—42no—
320(C22⋊D7)⋊C4—42no—
321#6442—42no—
322#6441—42no—
323#6441—42no—
324#6441—42no—
325#6441—42no—
326C7×#95C2311yescharacteristic
327C7×#95C2311yescharacteristic
328C7×#95C2311yescharacteristic
329C7×#95C2311yescharacteristic
330C7⋊#95C2311yescharacteristic
331C7⋊#95C2311yescharacteristic
332C7⋊#95C2311yescharacteristic
333C7⋊#95C2311yescharacteristic
334C7⋊#95C2311yescharacteristic
335C7⋊#95C2311yescharacteristic
336C7⋊#95C2311yescharacteristic
337C7⋊#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
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
370#2849—71no—
371#2848—71no—
372#2782—71no—
373#2750—71no—
374#2746—71no—
375#2746—71no—
376#2743—71no—
377#2728—71no—
378#2708—71no—
379#2708—71no—
380#2706—71no—
381#2696—71no—
382#2695—71no—
383#2693—71no—
384#2693—71no—
385#2691—71no—
386#2687—71no—
387#2681—71no—
388#2646—71no—
389#2643—71no—
390#2505—71no—
391#2480—71no—
392#2450—71no—
393#2437—71no—
394#2418—71no—
395#2412—71no—
396#2410—71no—
397#2405D711yescharacteristic, complemented
398#2321—71no—
399#2315—71no—
400C2×#386—71no—
401C24×C7—22no—
402C24×C7—22no—
403C24×C7—22no—
404C24×C7—22no—
405C24×C7—22no—
406C24×C7—22no—
407C24×C7—22no—
408C24×C7—41no—
409C24×C7—41no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7#4114yes—
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C24×C7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C2×C7×D4—22no—
425C2×C7×D4—22no—
426C2×C7×D4—22no—
427C2×C7×D4—22no—
428C2×C7×D4—22no—
429C2×C7×D4—41no—
430C2×C7×D4—41no—
431C2×C7×D4—41no—
432C2×C7×D4—41no—
433C2×C7×D4—416no—
434C22×C4×C7—22no—
435C22×C4×C7—22no—
436C22×C4×C7—22no—
437C22×C4×C7—41no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C2×C22⋊D7—22no—
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—22no—
472C22×Dic7—22no—
473C22×Dic7—22no—
474C22×Dic7—22no—
475C22×Dic7—22no—
476C22×Dic7—22no—
477C22×Dic7—41no—
478C22×Dic7—41no—
479C22×Dic7—41no—
480C22×Dic7—41no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7—41no—
485C22×Dic7—41no—
486C22×Dic7—41no—
487C22×Dic7—41no—
488C22×Dic7—41no—
489C22×Dic7—41no—
490C22×Dic7—41no—
491C22×Dic7—41no—
492C22×Dic7—41no—
493C22×Dic7—41no—
494C22×Dic7—41no—
495C22×Dic7—41no—
496C22×Dic7—41no—
497C22×Dic7—41no—
498C22×Dic7—416no—
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×Dic14—22no—
518C2×Dic14—41no—
519C2×Dic14—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—41no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C7×C22⋊C4—41no—
538C7×C22⋊C4—41no—
539C7×C22⋊C4—41no—
540C7×C22⋊C4—41no—
541C7×C22⋊C4—41no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—22no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—41no—
554C22⋊Dic7—41no—
555C22⋊Dic7—41no—
556C22⋊Dic7—41no—
557C22⋊Dic7—41no—
558C22⋊Dic7—41no—
559C22⋊Dic7—41no—
560C22⋊Dic7—41no—
561C22⋊Dic7—41no—
562C22⋊Dic7—41no—
563C22⋊Dic7—41no—
564C22⋊Dic7—41no—
565C22⋊Dic7—41no—
566C22⋊Dic7—41no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576C4⋊Dic7—22no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583C4⋊Dic7—41no—
584C4⋊Dic7—41no—
585C4⋊Dic7—41no—
586C4⋊Dic7—41no—
587Dic7⋊C4—22no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4C2×D711yescharacteristic
606C24×C4—71no—
607C2×#126—71no—
608C2×#123—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#123—71no—
612C2×#123C2×D711yescharacteristic
613C2×#123C2×D711yescharacteristic
614C2×C22⋊Q8—71no—
615C2×C22⋊Q8—71no—
616C2×C22⋊Q8—71no—
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#120—71no—
621C2×#120—71no—
622C2×C4×D4—71no—
623C22×C22⋊C4—71no—
624C22×C22⋊C4—71no—
625C22×C22⋊C4—71no—
626C22×C22⋊C4—71no—
627C22×C22⋊C4C2×D711yescharacteristic
628#401—71no—
629#400—71no—
630#400—71no—
631#400—71no—
632#400—71no—
633#400—71no—
634#400—71no—
635#400—71no—
636#400—71no—
637#400—71no—
638#400—71no—
639#400—71no—
640#399—71no—
641#399—71no—
642#398—71no—
643#398—71no—
644#398—71no—
645#398—71no—
646#398—71no—
647#398—71no—
648#397—71no—
649#397—71no—
650#397—71no—
651#397—71no—
652#397—71no—
653#397—71no—
654#397—71no—
655#397—71no—
656#397—71no—
657#396—71no—
658#396—71no—
659#396—71no—
660#396—71no—
661#396—71no—
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394C2×D711yescharacteristic
669#394C2×D711yescharacteristic
670#394C2×D711yescharacteristic
671#394C2×D711yescharacteristic
672#393—71no—
673#393—71no—
674#392—71no—
675#392—71no—
676#391—71no—
677#390—71no—
678#390—71no—
679#389—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#387—71no—
690#387—71no—
691#387—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386—71no—
706#386—71no—
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386C2×D711yescharacteristic
713#386C2×D711yescharacteristic
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385—71no—
734#385—71no—
735#385—71no—
736#385C2×D711yescharacteristic
737#385C2×D711yescharacteristic
738#382—71no—
739#381—71no—
740#381—71no—
741#381—71no—
742#380—71no—
743#380—71no—
744#380—71no—
745#380—71no—
746#380—71no—
747#380—71no—
748#380—71no—
749#380—71no—
750#380—71no—
751#380—71no—
752#380—71no—
753#379—71no—
754#379C2×D711yescharacteristic
755#379C2×D711yescharacteristic
756#379C2×D711yescharacteristic
757C4×C22⋊C4—71no—
758C2×#95—71no—
759C2×#95—71no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—28no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—28no—
790C23×C7—44no—
791C23×C7—44no—
792C23×C7—44no—
793C23×C7—44no—
794C23×C7—44no—
795C23×C7—44no—
796C23×C7—44no—
797C23×C7—44no—
798C23×C7—82no—
799C23×C7—82no—
800C23×C7—82no—
801C23×C7—82no—
802C23×C7C2×#4112yes—
803C23×C7C2×#4112yes—
804C23×C7C2×#4112yes—
805C23×C7H(5,𝔽2)12yes—
806C23×C7H(5,𝔽2)12yes—
807C23×C7H(5,𝔽2)12yes—
808C23×C72−1+412yes—
809C23×C7C2511yescharacteristic
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C7×D4—44no—
818C7×D4—44no—
819C7×D4—44no—
820C7×D4—44no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—44no—
852C2×C4×C7—82no—
853C2×C4×C7—82no—
854C22⋊D7—44no—
855C22⋊D7—82no—
856C22⋊D7—82no—
857C22⋊D7—82no—
858C22⋊D7—82no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—44no—
904C2×Dic7—44no—
905C2×Dic7—44no—
906C2×Dic7—44no—
907C2×Dic7—44no—
908C2×Dic7—44no—
909C2×Dic7—82no—
910C2×Dic7—82no—
911C2×Dic7—82no—
912C2×Dic7—82no—
913C2×Dic7H(5,𝔽2)12yes—
914C4×D7—82no—
915Dic14—82no—
916C25C22×D711yescharacteristic
917C25C22×D711yescharacteristic
918C22×Q8—71no—
919C22×D4—24no—
920C22×D4—42no—
921C22×D4—42no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4C22×D711yescharacteristic
928C22×D4C22×D711yescharacteristic
929C22×D4C22×D711yescharacteristic
930C22×D4C22×D711yescharacteristic
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4—71no—
941C23×C4—71no—
942C23×C4—282no—
943C23×C4—282no—
944C23×C4—282no—
945C23×C4C22×D711yescharacteristic
946C23×C4C22×D711yescharacteristic
947C23×C4C22×D711yescharacteristic
948#126—282no—
949#123—42no—
950#123—42no—
951#123—282no—
952#123—282no—
953#123—282no—
954#123—282no—
955C22⋊Q8—282no—
956C22⋊Q8—282no—
957C22⋊Q8—282no—
958C22⋊Q8—282no—
959#121—282no—
960#121—282no—
961#120—144no—
962#120—282no—
963C4×D4—282no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4C22×D711yescharacteristic
991C2×C4⋊C4C22×D711yescharacteristic
992C2×C4⋊C4C22×D711yescharacteristic
993C2×C4⋊C4C22×D711yescharacteristic
994C2×C22⋊C4—24no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—282no—
1030C2×C22⋊C4—282no—
1031C2×C22⋊C4—282no—
1032C2×C22⋊C4—282no—
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4C22×D711yescharacteristic
1042C2×C22⋊C4C22×D711yescharacteristic
1043C2×C22⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—22no—
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—22no—
1112C22×C7—22no—
1113C22×C7—22no—
1114C22×C7—22no—
1115C22×C7—22no—
1116C22×C7—416no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7—41no—
1128C22×C7—41no—
1129C22×C7—41no—
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—88no—
1134C22×C7#53914yes—
1135C22×C7C22×#4111yescharacteristic
1136C22×C7C2×H(5,𝔽2)11yescharacteristic
1137C22×C7C2×H(5,𝔽2)11yescharacteristic
1138C22×C7C2×H(5,𝔽2)11yescharacteristic
1139C22×C7C2×H(5,𝔽2)11yescharacteristic
1140C22×C7C2×2−1+411yescharacteristic
1141C22×C7#58511yescharacteristic
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157C4×C7—41no—
1158C4×C7—41no—
1159Dic7—22no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172Dic7—41no—
1173Dic7—41no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—22no—
1179C24—22no—
1180C24—22no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—71no—
1188C24#115914yes—
1189C24C23×D711yescharacteristic
1190C24C23×D711yescharacteristic
1191C24C23×D711yescharacteristic
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C2×Q8—142no—
1195C2×Q8—281no—
1196C2×Q8—281no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—416no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—142no—
1216C2×D4—142no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—71no—
1240C22×C4—71no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—71no—
1245C22×C4—71no—
1246C22×C4—71no—
1247C22×C4—71no—
1248C22×C4—71no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—142no—
1256C22×C4—142no—
1257C22×C4—142no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4—281no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—281no—
1277C22×C4—281no—
1278C22×C4—281no—
1279C22×C4—281no—
1280C22×C4—281no—
1281C22×C4—281no—
1282C22×C4—2816no—
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C22×C4C23×D711yescharacteristic
1291C22×C4C23×D711yescharacteristic
1292C22×C4C23×D711yescharacteristic
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C4⋊C4—281no—
1308C4⋊C4—281no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4—281no—
1319C4⋊C4—281no—
1320C4⋊C4—281no—
1321C4⋊C4—281no—
1322C4⋊C4—281no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—142no—
1352C22⋊C4—142no—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4—281no—
1374C22⋊C4—281no—
1375C42—281no—
1376C42—281no—
1377C42—281no—
1378C2×C7—24no—
1379C2×C7—42no—
1380C2×C7—42no—
1381C2×C7—42no—
1382C2×C7—42no—
1383C2×C7C2×#53911yescharacteristic
1384C2×C7#349011yescharacteristic
1385C2×C7#350511yescharacteristic
1386C2×C7#353211yescharacteristic
1387C2×C7#353411yescharacteristic
1388C2×C7#353511yescharacteristic
1389C2×C7#353611yescharacteristic
1390D7—81no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—28no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—28no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—141no—
1439C23—141no—
1440C23C2×#115912yes—
1441C23C2×#115912yes—
1442C23C2×#115912yes—
1443C23#654812yes—
1444C23#654812yes—
1445C23#655312yes—
1446C23#655412yes—
1447C23C24×D711yescharacteristic
1448Q8—562no—
1449D4—44no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—284no—
1454D4—562no—
1455D4—562no—
1456D4—562no—
1457D4—562no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—44no—
1489C2×C4—72no—
1490C2×C4—82no—
1491C2×C4—82no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—284no—
1537C2×C4—284no—
1538C2×C4—284no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—284no—
1542C2×C4—562no—
1543C2×C4—562no—
1544C2×C4—562no—
1545C2×C4—562no—
1546C2×C4—562no—
1547C7#3677511yescharacteristic, complemented, Sylow
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—416no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—88no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—281no—
1590C22—281no—
1591C22#9035614yes—
1592C22C22×#115911yescharacteristic
1593C22C2×#654811yescharacteristic
1594C22C2×#654811yescharacteristic
1595C22C2×#655311yescharacteristic
1596C22C2×#655411yescharacteristic
1597C22D7×H(5,𝔽2)11yescharacteristic
1598C22#9061811yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—142no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C4—281no—
1623C4—281no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—42no—
1628C2—42no—
1629C2—561no—
1630C2#1174298111yescharacteristic
1631C2C2×#9035611yescharacteristic
1632C2#1174336711yescharacteristic
1633C2#1174371211yescharacteristic
1634C2#1174371411yescharacteristic
1635C2#1174371511yescharacteristic
1636C2#1174373511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2405C2
prime radical#11741493C2
hypercenter#2405D7
hypocenterC7#36775
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C7×#2405C2semidirect
3. C2×#89992C2semidirect
4. #11740326C2semidirect
5. #11740322C2semidirect
6. #11740320C2semidirect
7. #11740319C2semidirect
8. #11739552C2semidirect
9. #11739539C2semidirect
10. #11734595C2semidirect
11. #11734514C2semidirect
12. #11734499C2semidirect
13. #11734498C2semidirect
14. #11734488C2semidirect
15. #11734473C2semidirect
16. #11734457C2semidirect
17. #11734451C2semidirect
18. #11732281C2semidirect
19. #11732279C2semidirect
20. #11732252C2semidirect
21. #11732249C2semidirect
22. #11732070C2semidirect
23. #11731949C2semidirect
24. #11731909C2semidirect
25. #11731869C2semidirect
26. #11731292C2semidirect
27. #11731291C2semidirect
28. #11731276C2semidirect
29. #11731273C2semidirect
30. #11731271C2semidirect
31. #11731266C2semidirect
45. C2×#6492C22semidirect
46. C2×#6449C22semidirect
47. C2×#6449C22semidirect
48. C2×#6446C22semidirect
50. C2×#6442C22semidirect
52. C2×#6441C22semidirect
53. C2×#6441C22semidirect
54. C2×#6441C22semidirect
82. #89985C22semidirect
83. #89984C22semidirect
84. #89984C22semidirect
85. #89984C22semidirect
86. #89984C22semidirect
87. #89983C22semidirect
89. #89982C22semidirect
92. #89766C22semidirect
93. #89766C22semidirect
94. #89765C22semidirect
95. #89759C22semidirect
96. #89758C22semidirect
97. #89758C22semidirect
98. #89756C22semidirect
99. #89756C22semidirect
100. #89755C22semidirect
101. #89755C22semidirect
102. #89754C22semidirect
103. #89754C22semidirect
104. #89752C22semidirect
105. #89749C22semidirect
106. #89746C22semidirect
107. #89745C22semidirect
108. #89733C22semidirect
109. #89731C22semidirect
110. #89731C22semidirect
111. #89731C22semidirect
115. #89730C22semidirect
116. #89730C22semidirect
117. #89729C22semidirect
118. #89729C22semidirect
119. #89728C22semidirect
120. #89728C22semidirect
121. #89728C22semidirect
122. #89725C22semidirect
123. #89724C22semidirect
124. #89724C22semidirect
125. #89724C22semidirect
126. #89724C22semidirect
127. #89724C22semidirect
128. #89723C22semidirect
129. #89723C22semidirect
135. #89722C22semidirect
136. #89722C22semidirect
137. #89722C22semidirect
138. #89722C22semidirect
139. #89722C22semidirect
140. #89722C22semidirect
141. #89722C22semidirect
142. #89722C22semidirect
143. #89722C22semidirect
144. #89721C22semidirect
145. #89721C22semidirect
146. #89720C22semidirect
147. #89720C22semidirect
148. #89720C22semidirect
149. #89719C22semidirect
152. #89718C22semidirect
153. #89718C22semidirect
154. #89718C22semidirect
155. #89717C22semidirect
156. #89717C22semidirect
157. #89717C22semidirect
158. #89717C22semidirect
159. #89716C22semidirect
160. #89716C22semidirect
161. #89716C22semidirect
162. #89715C22semidirect
163. #89715C22semidirect
167. #89714C22semidirect
168. #89714C22semidirect
169. #89714C22semidirect
171. #89447C22semidirect
172. #89446C22semidirect
173. #89445C22semidirect
174. #89440C22semidirect
175. C7⋊#401C22semidirect
176. #89432C22semidirect
177. #89432C22semidirect
178. #89432C22semidirect
179. #89431C22semidirect
180. #89431C22semidirect
181. #89430C22semidirect
182. #89430C22semidirect
183. #89429C22semidirect
184. #89427C22semidirect
185. #89426C22semidirect
186. #89425C22semidirect
397. #2405D7semidirect
1547. C7#36775semidirect

Maximal subgroups

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

subgroupindex
C7×#24052
#117414932
C2×#899922
#117403262
#117403222
#117403202
#117403192
#117395522
#117395392
#117345952
#117345142
#117344992
#117344982
#117344882
#117344732
#117344572
#117344512
#117322812
#117322792
#117322522
#117322492
#117320702
#117319492
#117319092
#117318692
#117312922
#117312912
#117312762
#117312732
#117312712
#117312662
#367757