Finite Group Databasebeta

← #13561677

Subgroups — #13561677

Order 1792.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2848C211yesmaximal, characteristic, complemented
2#11741477C211yesmaximal, characteristic, complemented
3C2×#89985C211yesmaximal, characteristic, complemented
4#11740272C211yesmaximal, characteristic, complemented
5#11740251C211yesmaximal, characteristic, complemented
6#11740246C211yesmaximal, characteristic, complemented
7#11740243C211yesmaximal, characteristic, complemented
8#11740216C211yesmaximal, characteristic, complemented
9#11740214C211yesmaximal, characteristic, complemented
10#11732094C211yesmaximal, characteristic, complemented
11#11732091C211yesmaximal, characteristic, complemented
12#11732079C211yesmaximal, characteristic, complemented
13#11732050C211yesmaximal, characteristic, complemented
14#11732025C211yesmaximal, characteristic, complemented
15#11732011C211yesmaximal, characteristic, complemented
16#11732008C211yesmaximal, characteristic, complemented
17#11731994C211yesmaximal, characteristic, complemented
18#11731975C211yesmaximal, characteristic, complemented
19#11731904C211yesmaximal, characteristic, complemented
20#11731898C211yesmaximal, characteristic, complemented
21#11731855C211yesmaximal, characteristic, complemented
22#11731490C211yesmaximal, characteristic, complemented
23#11731466C211yesmaximal, characteristic, complemented
24#11731432C211yesmaximal, characteristic, complemented
25#11731423C211yesmaximal, characteristic, complemented
26#11731411C211yesmaximal, characteristic, complemented
27#11731335C211yesmaximal, characteristic, complemented
28#11731300C211yesmaximal, characteristic, complemented
29#11731300C211yesmaximal, characteristic, complemented
30#11731266C211yesmaximal, characteristic, complemented
31#11731266C211yesmaximal, characteristic, complemented
32C24×C4×C7C2211yescharacteristic
33C23×C22⋊D7C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic
35C2×C7×C22⋊Q8C2211yescharacteristic, complemented
36C2×C7×C22⋊Q8C2211yescharacteristic, complemented
37C2×#6516C2211yescharacteristic
38C2×#6516C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C2×#6510C2211yescharacteristic, complemented
41C2×#6493C2211yescharacteristic
42C2×#6493C2211yescharacteristic, complemented
43C2×#6493C2211yescharacteristic, complemented
44C22×(C2×D7)⋊C4C2211yescharacteristic
45C22×(C2×D7)⋊C4C2211yescharacteristic
46C2×#6461C2211yescharacteristic, complemented
47C2×#6458C2211yescharacteristic, complemented
48C2×#6457C2211yescharacteristic, complemented
49C2×#6449C2211yescharacteristic
50C2×#6449C2211yescharacteristic
51C2×#6445C2211yescharacteristic
52C2×#6445C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic
55C7×#385C2211yescharacteristic
56C7×#385C2211yescharacteristic
57C7×#385C2211yescharacteristic, complemented
58C7×#385C2211yescharacteristic, complemented
59C7×#385C2211yescharacteristic, complemented
60C7×#385C2211yescharacteristic, complemented
61C7×#380C2211yescharacteristic
62C7×#380C2211yescharacteristic, complemented
63C7×#380C2211yescharacteristic, complemented
64C7×#379C2211yescharacteristic
65C7×#379C2211yescharacteristic
66#90003C2211yescharacteristic, complemented
67#90003C2211yescharacteristic, complemented
68#90002C2211yescharacteristic, complemented
69#89985C2211yescharacteristic
70#89985C2211yescharacteristic
71#89985C2211yescharacteristic
72#89985C2211yescharacteristic
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic
75#89985C2211yescharacteristic
76#89985C2211yescharacteristic
77#89985C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic, complemented
80#89985C2211yescharacteristic, complemented
81#89985C2211yescharacteristic, complemented
82#89985C2211yescharacteristic, complemented
83#89984C2211yescharacteristic
84#89984C2211yescharacteristic, complemented
85#89984C2211yescharacteristic, complemented
86C2×C7⋊#95C2211yescharacteristic
87C2×C7⋊#95C2211yescharacteristic
88#89766C2211yescharacteristic, complemented
89#89766C2211yescharacteristic, complemented
90#89766C2211yescharacteristic, complemented
91#89765C2211yescharacteristic, complemented
92#89765C2211yescharacteristic, complemented
93#89765C2211yescharacteristic, complemented
94#89765C2211yescharacteristic, complemented
95#89764C2211yescharacteristic, complemented
96#89763C2211yescharacteristic, complemented
97#89763C2211yescharacteristic, complemented
98#89763C2211yescharacteristic, complemented
99#89763C2211yescharacteristic, complemented
100#89763C2211yescharacteristic, complemented
101#89762C2211yescharacteristic, complemented
102#89762C2211yescharacteristic, complemented
103#89762C2211yescharacteristic, complemented
104#89762C2211yescharacteristic, complemented
105#89762C2211yescharacteristic, complemented
106#89762C2211yescharacteristic, complemented
107#89761C2211yescharacteristic, complemented
108#89760C2211yescharacteristic, complemented
109#89760C2211yescharacteristic, complemented
110#89759C2211yescharacteristic, complemented
111#89758C2211yescharacteristic, complemented
112#89758C2211yescharacteristic, complemented
113#89758C2211yescharacteristic, complemented
114#89757C2211yescharacteristic, complemented
115#89756C2211yescharacteristic, complemented
116#89754C2211yescharacteristic, complemented
117#89753C2211yescharacteristic, complemented
118#89753C2211yescharacteristic, complemented
119#89750C2211yescharacteristic, complemented
120#89749C2211yescharacteristic, complemented
121#89733C2211yescharacteristic
122#89733C2211yescharacteristic
123#89733C2211yescharacteristic
124#89733C2211yescharacteristic
125#89733C2211yescharacteristic
126#89733C2211yescharacteristic
127#89733C2211yescharacteristic
128#89733C2211yescharacteristic
129#89732C2211yescharacteristic
130#89732C2211yescharacteristic
131#89732C2211yescharacteristic
132#89732C2211yescharacteristic
133#89732C2211yescharacteristic
134#89732C2211yescharacteristic
135#89732C2211yescharacteristic
136#89732C2211yescharacteristic
137#89730C2211yescharacteristic
138#89730C2211yescharacteristic
139#89729C2211yescharacteristic, complemented
140#89729C2211yescharacteristic, complemented
141#89729C2211yescharacteristic, complemented
142#89729C2211yescharacteristic, complemented
143#89728C2211yescharacteristic, complemented
144#89728C2211yescharacteristic, complemented
145#89728C2211yescharacteristic, complemented
146#89728C2211yescharacteristic, complemented
147#89727C2211yescharacteristic
148#89727C2211yescharacteristic
149#89718C2211yescharacteristic
150#89718C2211yescharacteristic
151#89717C2211yescharacteristic, complemented
152#89717C2211yescharacteristic, complemented
153#89717C2211yescharacteristic, complemented
154#89717C2211yescharacteristic, complemented
155#89716C2211yescharacteristic, complemented
156#89716C2211yescharacteristic, complemented
157#89716C2211yescharacteristic, complemented
158#89716C2211yescharacteristic, complemented
159#89715C2211yescharacteristic
160#89715C2211yescharacteristic
161C22⋊C4×Dic7C2211yescharacteristic
162C22⋊C4×Dic7C2211yescharacteristic
163#89447C2211yescharacteristic, complemented
164#89447C2211yescharacteristic, complemented
165#89447C2211yescharacteristic, complemented
166#89446C2211yescharacteristic, complemented
167#89446C2211yescharacteristic, complemented
168#89444C2211yescharacteristic, complemented
169#89444C2211yescharacteristic, complemented
170#89443C2211yescharacteristic, complemented
171#89442C2211yescharacteristic, complemented
172#89442C2211yescharacteristic, complemented
173#89442C2211yescharacteristic, complemented
174#89441C2211yescharacteristic, complemented
175#89441C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178#89437C2211yescharacteristic, complemented
179#89436C2211yescharacteristic, complemented
180C7⋊#401C2211yescharacteristic, complemented
181#89433C2211yescharacteristic, complemented
182#89432C2211yescharacteristic, complemented
183#89432C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#36758—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C23×C4×C7—42no—
192C23×C4×C7—42no—
193C23×C4×C7—42no—
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C22×C22⋊D7—24no—
201C22×C22⋊D7—42no—
202C22×C22⋊D7—42no—
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
213C23×Dic7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C22×D28C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C7×C22⋊Q8—42no—
224C7×C22⋊Q8—42no—
225C7×C22⋊Q8—42no—
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
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
247#6516—24no—
248#6516—24no—
249C2×C22⋊Dic7—42no—
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
260#6510—42no—
261#6493—42no—
262#6493—42no—
263#6493—42no—
264C2×(C2×D7)⋊C4—42no—
265C2×(C2×D7)⋊C4—42no—
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
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×(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×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307C2×C4⋊Dic7C2311yescharacteristic
308C2×C4⋊Dic7C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321#6461—42no—
322#6458—42no—
323#6457—42no—
324#6449—42no—
325#6449—42no—
326#6445—42no—
327#6445—42no—
328(C22⋊D7)⋊C4—42no—
329(C22⋊D7)⋊C4—42no—
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#2848D711yescharacteristic, complemented
371#2847—71no—
372#2797—71no—
373#2781—71no—
374#2779—71no—
375#2778—71no—
376#2778—71no—
377#2756—71no—
378#2753—71no—
379#2749—71no—
380#2741—71no—
381#2730—71no—
382#2714—71no—
383#2703—71no—
384#2702—71no—
385#2696—71no—
386#2688—71no—
387#2676—71no—
388#2613—71no—
389#2613—71no—
390#2493—71no—
391#2488—71no—
392#2480—71no—
393#2472—71no—
394#2425—71no—
395#2424—71no—
396#2419—71no—
397#2418—71no—
398#2321—71no—
399#2321—71no—
400C2×#386—71no—
401C24×C7—22no—
402C24×C7—22no—
403C24×C7—41no—
404C24×C7—41no—
405C24×C7—41no—
406C24×C7—41no—
407C24×C7#4114yes—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C24×C7C2411yescharacteristic
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—22no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7—41no—
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C23×D7C2411yescharacteristic
422C2×C7×Q8—22no—
423C2×C7×Q8—41no—
424C2×C7×Q8—41no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—22no—
428C22×C4×C7—22no—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—22no—
432C22×C4×C7—22no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
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×C7—416no—
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
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
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—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
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—416no—
487C22×Dic7—22no—
488C22×Dic7—22no—
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—22no—
492C22×Dic7—41no—
493C22×Dic7—41no—
494C22×Dic7—41no—
495C22×Dic7—41no—
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—41no—
510C2×D28—41no—
511C2×D28—41no—
512C2×D28—41no—
513C2×D28—41no—
514C2×D28—41no—
515C2×D28—41no—
516C2×D28—41no—
517C2×D28—41no—
518C2×D28—41no—
519C2×D28—41no—
520C2×D28—41no—
521C2×D28—41no—
522C2×D28—41no—
523C2×C4×D7—41no—
524C2×C4×D7—41no—
525C2×C4×D7—41no—
526C2×C4×D7—41no—
527C2×C4×D7—41no—
528C2×C4×D7—41no—
529C7×C4⋊C4—22no—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—22no—
532C7×C4⋊C4—41no—
533C7×C4⋊C4—41no—
534C7×C4⋊C4—41no—
535C7×C4⋊C4—41no—
536C7×C4⋊C4—41no—
537C7×C4⋊C4—41no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—41no—
543C7×C22⋊C4—41no—
544C7×C22⋊C4—41no—
545C7×C22⋊C4—41no—
546C7×C22⋊C4—41no—
547C7×C22⋊C4—41no—
548C7×C22⋊C4—41no—
549C7×C22⋊C4—41no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—41no—
557C22⋊Dic7—41no—
558C22⋊Dic7—41no—
559C22⋊Dic7—41no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
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—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
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—
596C4⋊Dic7—22no—
597C4⋊Dic7—41no—
598C4⋊Dic7—41no—
599C4⋊Dic7—41no—
600C4⋊Dic7—41no—
601C4⋊Dic7—41no—
602C4⋊Dic7—41no—
603Dic7⋊C4—41no—
604Dic7⋊C4—41no—
605Dic7⋊C4—41no—
606Dic7⋊C4—41no—
607Dic7⋊C4—41no—
608Dic7⋊C4—41no—
609C4×Dic7—41no—
610C4×Dic7—41no—
611C4×Dic7—41no—
612C4×Dic7—41no—
613C4×Dic7—41no—
614C4×Dic7—41no—
615C23×D4—71no—
616C24×C4C2×D711yescharacteristic
617C2×#126—71no—
618C2×#124—71no—
619C2×#123—71no—
620C2×#123—71no—
621C2×#123—71no—
622C2×C22⋊Q8C2×D711yescharacteristic
623C2×C22⋊Q8C2×D711yescharacteristic, complemented
624C2×C22⋊Q8C2×D711yescharacteristic, complemented
625C2×#121—71no—
626C2×#121—71no—
627C2×#121—71no—
628C2×#121—71no—
629C2×#120—71no—
630C2×#120—71no—
631C2×#120—71no—
632C2×#120—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C22×C22⋊C4—71no—
636C22×C22⋊C4—71no—
637C22×C22⋊C4—71no—
638#401—71no—
639#400—71no—
640#400—71no—
641#400—71no—
642#400—71no—
643#400—71no—
644#400—71no—
645#399—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#394—71no—
661#394—71no—
662#394—71no—
663#394—71no—
664#394—71no—
665#394—71no—
666#394—71no—
667#394—71no—
668#394—71no—
669#394—71no—
670#394—71no—
671#394—71no—
672#394—71no—
673#394—71no—
674#394—71no—
675#393—71no—
676#393—71no—
677#392—71no—
678#392—71no—
679#392—71no—
680#392—71no—
681#392—71no—
682#392—71no—
683#392—71no—
684#392—71no—
685#392—71no—
686#391—71no—
687#390—71no—
688#390—71no—
689#390—71no—
690#390—71no—
691#390—71no—
692#390—71no—
693#389—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388—71no—
709#388—71no—
710#388—71no—
711#388—71no—
712#388—71no—
713#387—71no—
714#387—71no—
715#387—71no—
716#387—71no—
717#387—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#386—71no—
723#386—71no—
724#386—71no—
725#386—71no—
726#386—71no—
727#386—71no—
728#386—71no—
729#386—71no—
730#386—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#385—71no—
742#385—71no—
743#385—71no—
744#385C2×D711yescharacteristic
745#385C2×D711yescharacteristic
746#385C2×D711yescharacteristic, complemented
747#385C2×D711yescharacteristic, complemented
748#385C2×D711yescharacteristic, complemented
749#385C2×D711yescharacteristic, complemented
750#383—71no—
751#382—71no—
752#381—71no—
753#381—71no—
754#381—71no—
755#380—71no—
756#380—71no—
757#380—71no—
758#380—71no—
759#380C2×D711yescharacteristic
760#380C2×D711yescharacteristic, complemented
761#380C2×D711yescharacteristic, complemented
762#379—71no—
763#379—71no—
764#379C2×D711yescharacteristic
765#379C2×D711yescharacteristic
766C4×C22⋊C4—71no—
767C4×C22⋊C4—71no—
768C2×#95—71no—
769C2×#95—71no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—28no—
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—44no—
788C23×C7—44no—
789C23×C7—44no—
790C23×C7—44no—
791C23×C7—44no—
792C23×C7—44no—
793C23×C7C2×#4112yes—
794C23×C7C2×#4112yes—
795C23×C7C2×#4112yes—
796C23×C7H(5,𝔽2)12yes—
797C23×C7H(5,𝔽2)12yes—
798C23×C7C2511yescharacteristic
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
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—44no—
828C22×D7—44no—
829C22×D7—44no—
830C22×D7—82no—
831C22×D7—82no—
832C22×D7—82no—
833C22×D7—82no—
834C7×Q8—82no—
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—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—44no—
870C2×C4×C7—44no—
871C2×C4×C7—44no—
872C2×C4×C7—44no—
873C2×C4×C7—44no—
874C2×C4×C7—44no—
875C2×C4×C7H(5,𝔽2)12yes—
876C2×C4×C7H(5,𝔽2)12yes—
877C22⋊D7—44no—
878C22⋊D7—44no—
879C22⋊D7—44no—
880C22⋊D7—44no—
881C22⋊D7—44no—
882C22⋊D7—44no—
883C22⋊D7—82no—
884C22⋊D7—82no—
885C22⋊D7—82no—
886C22⋊D7—82no—
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—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—44no—
924C2×Dic7—82no—
925C2×Dic7—82no—
926D28—82no—
927D28—82no—
928D28—82no—
929D28—82no—
930D28—82no—
931C4×D7—82no—
932C4×D7—82no—
933C25—71no—
934C25C22×D711yescharacteristic
935C22×Q8C22×D711yescharacteristic
936C22×D4—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
949C22×D4—71no—
950C22×D4—71no—
951C22×D4—144no—
952C22×D4—282no—
953C22×D4—282no—
954C23×C4—42no—
955C23×C4—42no—
956C23×C4—42no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4—71no—
960C23×C4—71no—
961C23×C4—71no—
962C23×C4C22×D711yescharacteristic
963C23×C4C22×D711yescharacteristic
964C23×C4C22×D711yescharacteristic
965C23×C4C22×D711yescharacteristic
966C23×C4C22×D711yescharacteristic
967C23×C4C22×D711yescharacteristic
968#126—282no—
969#124—282no—
970#123—282no—
971#123—282no—
972#123—282no—
973C22⋊Q8—42no—
974C22⋊Q8—42no—
975C22⋊Q8—42no—
976#121—282no—
977#121—282no—
978#121—282no—
979#121—282no—
980#120—144no—
981#120—144no—
982#120—282no—
983#120—282no—
984C4×D4—282no—
985C4×D4—282no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4C22×D711yescharacteristic
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C4⋊C4C22×D711yescharacteristic
1004C2×C4⋊C4C22×D711yescharacteristic
1005C2×C4⋊C4C22×D711yescharacteristic
1006C2×C4⋊C4C22×D711yescharacteristic
1007C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
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—282no—
1055C2×C22⋊C4—282no—
1056C2×C22⋊C4—282no—
1057C2×C22⋊C4C22×D711yescharacteristic
1058C2×C22⋊C4C22×D711yescharacteristic
1059C2×C22⋊C4C22×D711yescharacteristic
1060C2×C22⋊C4C22×D711yescharacteristic
1061C2×C22⋊C4C22×D711yescharacteristic
1062C2×C22⋊C4C22×D711yescharacteristic
1063C2×C22⋊C4C22×D711yescharacteristic
1064C2×C22⋊C4C22×D711yescharacteristic
1065C2×C22⋊C4C22×D711yescharacteristic
1066C2×C22⋊C4C22×D711yescharacteristic
1067C2×C22⋊C4C22×D711yescharacteristic
1068C2×C22⋊C4C22×D711yescharacteristic
1069C2×C42—71no—
1070C2×C42—71no—
1071C2×C42—71no—
1072C2×C42—71no—
1073C2×C42—71no—
1074C2×C42—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#95—71no—
1095#95—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#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112#95C22×D711yescharacteristic
1113#95C22×D711yescharacteristic
1114#95C22×D711yescharacteristic
1115C22×C7—22no—
1116C22×C7—22no—
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—22no—
1121C22×C7—22no—
1122C22×C7—22no—
1123C22×C7—22no—
1124C22×C7—22no—
1125C22×C7—22no—
1126C22×C7—22no—
1127C22×C7—416no—
1128C22×C7—41no—
1129C22×C7—41no—
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7—41no—
1136C22×C7#53814yes—
1137C22×C7C22×#4111yescharacteristic
1138C22×C7C2×H(5,𝔽2)11yescharacteristic
1139C22×C7C2×H(5,𝔽2)11yescharacteristic
1140C22×C7C2×H(5,𝔽2)11yescharacteristic
1141C22×C7C2×H(5,𝔽2)11yescharacteristic
1142C22×C7#58511yescharacteristic
1143C22×C7#58511yescharacteristic
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—41no—
1158C2×D7—41no—
1159C2×D7—41no—
1160C2×D7—41no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—88no—
1173C4×C7—22no—
1174C4×C7—22no—
1175C4×C7—41no—
1176C4×C7—41no—
1177C4×C7—41no—
1178C4×C7—41no—
1179C4×C7—41no—
1180C4×C7—41no—
1181C4×C7—41no—
1182C4×C7—41no—
1183C4×C7—41no—
1184C4×C7—41no—
1185Dic7—41no—
1186Dic7—41no—
1187Dic7—41no—
1188Dic7—41no—
1189Dic7—41no—
1190Dic7—41no—
1191Dic7—41no—
1192Dic7—41no—
1193Dic7—41no—
1194Dic7—41no—
1195Dic7—41no—
1196Dic7—41no—
1197C24—22no—
1198C24—22no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—71no—
1204C24—71no—
1205C24—71no—
1206C24—71no—
1207C24—142no—
1208C24—142no—
1209C24—142no—
1210C24—281no—
1211C24—281no—
1212C24—281no—
1213C24—281no—
1214C24#116114yes—
1215C24C23×D711yescharacteristic
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C2×Q8—22no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×D4—142no—
1222C2×D4—142no—
1223C2×D4—142no—
1224C2×D4—142no—
1225C2×D4—142no—
1226C2×D4—142no—
1227C2×D4—142no—
1228C2×D4—142no—
1229C2×D4—142no—
1230C2×D4—142no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—281no—
1237C2×D4—281no—
1238C2×D4—281no—
1239C2×D4—281no—
1240C2×D4—281no—
1241C2×D4—281no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C2×D4—281no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C2×D4—281no—
1261C2×D4—281no—
1262C2×D4—281no—
1263C2×D4—281no—
1264C2×D4—281no—
1265C2×D4—281no—
1266C2×D4—2816no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—416no—
1286C22×C4—71no—
1287C22×C4—71no—
1288C22×C4—71no—
1289C22×C4—71no—
1290C22×C4—71no—
1291C22×C4—71no—
1292C22×C4—71no—
1293C22×C4—71no—
1294C22×C4—71no—
1295C22×C4—71no—
1296C22×C4—71no—
1297C22×C4—71no—
1298C22×C4—142no—
1299C22×C4—142no—
1300C22×C4—142no—
1301C22×C4—142no—
1302C22×C4—142no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4—281no—
1307C22×C4—281no—
1308C22×C4—281no—
1309C22×C4—281no—
1310C22×C4—281no—
1311C22×C4—281no—
1312C22×C4—281no—
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C22×C4C23×D711yescharacteristic
1319C22×C4C23×D711yescharacteristic
1320C22×C4C23×D711yescharacteristic
1321C22×C4C23×D711yescharacteristic
1322C22×C4C23×D711yescharacteristic
1323C22×C4C23×D711yescharacteristic
1324C22×C4C23×D711yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—142no—
1335C4⋊C4—281no—
1336C4⋊C4—281no—
1337C4⋊C4—281no—
1338C4⋊C4—281no—
1339C4⋊C4—281no—
1340C4⋊C4—281no—
1341C4⋊C4—281no—
1342C4⋊C4—281no—
1343C4⋊C4—281no—
1344C4⋊C4—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—142no—
1360C22⋊C4—142no—
1361C22⋊C4—142no—
1362C22⋊C4—142no—
1363C22⋊C4—142no—
1364C22⋊C4—142no—
1365C22⋊C4—142no—
1366C22⋊C4—142no—
1367C22⋊C4—142no—
1368C22⋊C4—142no—
1369C22⋊C4—142no—
1370C22⋊C4—142no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4—281no—
1374C22⋊C4—281no—
1375C22⋊C4—281no—
1376C22⋊C4—281no—
1377C22⋊C4—281no—
1378C22⋊C4—281no—
1379C22⋊C4—281no—
1380C22⋊C4—281no—
1381C22⋊C4—281no—
1382C22⋊C4—281no—
1383C22⋊C4—281no—
1384C22⋊C4—281no—
1385C22⋊C4—281no—
1386C22⋊C4—281no—
1387C22⋊C4—281no—
1388C22⋊C4—281no—
1389C22⋊C4—281no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
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—
1405C42—281no—
1406C42—281no—
1407C42—281no—
1408C42—281no—
1409C42—281no—
1410C42—281no—
1411C2×C7—24no—
1412C2×C7—42no—
1413C2×C7—42no—
1414C2×C7C2×#53811yescharacteristic
1415C2×C7#350511yescharacteristic
1416C2×C7#350511yescharacteristic
1417C2×C7#353211yescharacteristic
1418C2×C7#353311yescharacteristic
1419C2×C7#354211yescharacteristic
1420C2×C7#354211yescharacteristic
1421D7—81no—
1422D7—81no—
1423D7—81no—
1424D7—81no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—28no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—141no—
1449C23—141no—
1450C23—141no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—141no—
1473C23—141no—
1474C23—141no—
1475C23—141no—
1476C23—284no—
1477C23—284no—
1478C23—284no—
1479C23—562no—
1480C23—562no—
1481C23—562no—
1482C23—562no—
1483C23#654812yes—
1484C23C2×#116112yes—
1485C23C2×#116112yes—
1486C23C2×#116112yes—
1487C23#655312yes—
1488C23C24×D711yescharacteristic
1489Q8—82no—
1490D4—284no—
1491D4—284no—
1492D4—284no—
1493D4—284no—
1494D4—284no—
1495D4—284no—
1496D4—562no—
1497D4—562no—
1498D4—562no—
1499D4—562no—
1500D4—562no—
1501D4—562no—
1502D4—562no—
1503D4—562no—
1504D4—562no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
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—44no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
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—284no—
1582C2×C4—562no—
1583C2×C4—562no—
1584C2×C4—562no—
1585C2×C4—562no—
1586C2×C4#654812yes—
1587C2×C4#654812yes—
1588C7#3675811yescharacteristic, complemented, Sylow
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22—281no—
1622C22—281no—
1623C22—281no—
1624C22—281no—
1625C22—281no—
1626C22—281no—
1627C22—281no—
1628C22—281no—
1629C22—281no—
1630C22—281no—
1631C22—281no—
1632C22—281no—
1633C22—281no—
1634C22—281no—
1635C22—281no—
1636C22—281no—
1637C22—281no—
1638C22—568no—
1639C22#9033514yes—
1640C22C2×#654811yescharacteristic
1641C22C2×#654811yescharacteristic
1642C22C2×#654811yescharacteristic
1643C22C22×#116111yescharacteristic
1644C22C2×#655311yescharacteristic
1645C22#9061611yescharacteristic
1646C22#9061611yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—281no—
1660C4—281no—
1661C4—281no—
1662C4—281no—
1663C4—281no—
1664C4—281no—
1665C4—281no—
1666C4—281no—
1667C4—281no—
1668C4—281no—
1669C4—281no—
1670C4—281no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—561no—
1675C2—561no—
1676C2—561no—
1677C2—561no—
1678C2#1174298911yescharacteristic
1679C2#1174303911yescharacteristic
1680C2#1174303911yescharacteristic
1681C2C2×#9033511yescharacteristic
1682C2#1174310111yescharacteristic
1683C2#1174311711yescharacteristic
1684C2#1174312611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2848C2
hypercenter#2848D7
hypocenterC7#36758
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2848

Complements

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

NH ≅ G/Ntype
1. C7×#2848C2semidirect
2. #11741477C2semidirect
3. C2×#89985C2semidirect
4. #11740272C2semidirect
5. #11740251C2semidirect
6. #11740246C2semidirect
7. #11740243C2semidirect
8. #11740216C2semidirect
9. #11740214C2semidirect
10. #11732094C2semidirect
11. #11732091C2semidirect
12. #11732079C2semidirect
13. #11732050C2semidirect
14. #11732025C2semidirect
15. #11732011C2semidirect
16. #11732008C2semidirect
17. #11731994C2semidirect
18. #11731975C2semidirect
19. #11731904C2semidirect
20. #11731898C2semidirect
21. #11731855C2semidirect
22. #11731490C2semidirect
23. #11731466C2semidirect
24. #11731432C2semidirect
25. #11731423C2semidirect
26. #11731411C2semidirect
27. #11731335C2semidirect
28. #11731300C2semidirect
29. #11731300C2semidirect
30. #11731266C2semidirect
31. #11731266C2semidirect
35. C2×C7×C22⋊Q8C22semidirect
36. C2×C7×C22⋊Q8C22semidirect
40. C2×#6510C22semidirect
42. C2×#6493C22semidirect
43. C2×#6493C22semidirect
46. C2×#6461C22semidirect
47. C2×#6458C22semidirect
48. C2×#6457C22semidirect
57. C7×#385C22semidirect
58. C7×#385C22semidirect
59. C7×#385C22semidirect
60. C7×#385C22semidirect
62. C7×#380C22semidirect
63. C7×#380C22semidirect
66. #90003C22semidirect
67. #90003C22semidirect
68. #90002C22semidirect
79. #89985C22semidirect
80. #89985C22semidirect
81. #89985C22semidirect
82. #89985C22semidirect
84. #89984C22semidirect
85. #89984C22semidirect
88. #89766C22semidirect
89. #89766C22semidirect
90. #89766C22semidirect
91. #89765C22semidirect
92. #89765C22semidirect
93. #89765C22semidirect
94. #89765C22semidirect
95. #89764C22semidirect
96. #89763C22semidirect
97. #89763C22semidirect
98. #89763C22semidirect
99. #89763C22semidirect
100. #89763C22semidirect
101. #89762C22semidirect
102. #89762C22semidirect
103. #89762C22semidirect
104. #89762C22semidirect
105. #89762C22semidirect
106. #89762C22semidirect
107. #89761C22semidirect
108. #89760C22semidirect
109. #89760C22semidirect
110. #89759C22semidirect
111. #89758C22semidirect
112. #89758C22semidirect
113. #89758C22semidirect
114. #89757C22semidirect
115. #89756C22semidirect
116. #89754C22semidirect
117. #89753C22semidirect
118. #89753C22semidirect
119. #89750C22semidirect
120. #89749C22semidirect
139. #89729C22semidirect
140. #89729C22semidirect
141. #89729C22semidirect
142. #89729C22semidirect
143. #89728C22semidirect
144. #89728C22semidirect
145. #89728C22semidirect
146. #89728C22semidirect
151. #89717C22semidirect
152. #89717C22semidirect
153. #89717C22semidirect
154. #89717C22semidirect
155. #89716C22semidirect
156. #89716C22semidirect
157. #89716C22semidirect
158. #89716C22semidirect
163. #89447C22semidirect
164. #89447C22semidirect
165. #89447C22semidirect
166. #89446C22semidirect
167. #89446C22semidirect
168. #89444C22semidirect
169. #89444C22semidirect
170. #89443C22semidirect
171. #89442C22semidirect
172. #89442C22semidirect
173. #89442C22semidirect
174. #89441C22semidirect
175. #89441C22semidirect
176. #89437C22semidirect
177. #89437C22semidirect
178. #89437C22semidirect
179. #89436C22semidirect
180. C7⋊#401C22semidirect
181. #89433C22semidirect
182. #89432C22semidirect
183. #89432C22semidirect
184. #89427C22semidirect
185. #89426C22semidirect
186. #89423C22semidirect
370. #2848D7semidirect
623. C2×C22⋊Q8C2×D7semidirect
624. C2×C22⋊Q8C2×D7semidirect
746. #385C2×D7semidirect
747. #385C2×D7semidirect
748. #385C2×D7semidirect
749. #385C2×D7semidirect
760. #380C2×D7semidirect
761. #380C2×D7semidirect
1588. C7#36758semidirect

Maximal subgroups

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

subgroupindex
C7×#28482
#117414772
C2×#899852
#117402722
#117402512
#117402462
#117402432
#117402162
#117402142
#117320942
#117320912
#117320792
#117320502
#117320252
#117320112
#117320082
#117319942
#117319752
#117319042
#117318982
#117318552
#117314902
#117314662
#117314322
#117314232
#117314112
#117313352
#117313002
#117312662
#367587