Finite Group Databasebeta

← #13526807

Subgroups — #13526807

Order 1792.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90398C211yesmaximal, characteristic, complemented
2C2×#90369C211yesmaximal, characteristic, complemented
3C7×#2521C211yesmaximal, characteristic, complemented
4#11740554C211yesmaximal, characteristic, complemented
5#11740444C211yesmaximal, characteristic, complemented
6#11735552C211yesmaximal, characteristic, complemented
7#11735504C211yesmaximal, characteristic, complemented
8#11735127C211yesmaximal, characteristic, complemented
9#11735010C211yesmaximal, characteristic, complemented
10#11734698C211yesmaximal, characteristic, complemented
11#11734654C211yesmaximal, characteristic, complemented
12#11734564C211yesmaximal, characteristic, complemented
13#11734439C211yesmaximal, characteristic, complemented
14#11734074C211yesmaximal, characteristic, complemented
15#11734051C211yesmaximal, characteristic, complemented
16#11733331C211yesmaximal, characteristic, complemented
17#11733272C211yesmaximal, characteristic, complemented
18D7×#388C211yesmaximal, characteristic, complemented
19#11733265C211yesmaximal, characteristic, complemented
20#11732972C211yesmaximal, characteristic, complemented
21#11732957C211yesmaximal, characteristic, complemented
22#11732804C211yesmaximal, characteristic, complemented
23#11732742C211yesmaximal, characteristic, complemented
24#11732339C211yesmaximal, characteristic, complemented
25#11732314C211yesmaximal, characteristic, complemented
26#11731467C211yesmaximal, characteristic, complemented
27#11731444C211yesmaximal, characteristic, complemented
28C4×#6458C211yesmaximal, characteristic, complemented
29#11731144C211yesmaximal, characteristic, complemented
30#11731036C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C2×C7×#126C2211yescharacteristic, complemented
33C2×C7×#124C2211yescharacteristic
34C2×#6510C2211yescharacteristic
35C2×#6509C2211yescharacteristic
36C2×#6502C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6493C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C22×C4×Dic7C2211yescharacteristic, complemented
41#90398—28no—
42#90369—28no—
43C2×#6461C2211yescharacteristic, complemented
44C2×#6460C2211yescharacteristic
45C2×#6459C2211yescharacteristic, complemented
46C2×#6458C2211yescharacteristic
47C2×#6457C2211yescharacteristic
48C2×#6457C2211yescharacteristic
49C2×D7×C4⋊C4C2211yescharacteristic
50C2×#6453C2211yescharacteristic, complemented
51C2×#6449C2211yescharacteristic
52C2×#6449C2211yescharacteristic, complemented
53C2×#6448C2211yescharacteristic
54C2×#6447C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6447C2211yescharacteristic
57C2×#6446C2211yescharacteristic
58C2×#6446C2211yescharacteristic
59C2×#6446C2211yescharacteristic, complemented
60C2×#6445C2211yescharacteristic
61C2×#6445C2211yescharacteristic
62C2×(C22⋊D7)⋊C4C2211yescharacteristic
63C2×(C22⋊D7)⋊C4C2211yescharacteristic
64C2×D7×C22⋊C4C2211yescharacteristic
65C2×D7×C22⋊C4C2211yescharacteristic
66C2×D7×C22⋊C4C2211yescharacteristic
67C2×#6442C2211yescharacteristic
68C2×#6441C2211yescharacteristic, complemented
69C2×#6439C2211yescharacteristic
70C2×C4×D28C2211yescharacteristic
71C2×C4×D28C2211yescharacteristic
72C2×C4×D28C2211yescharacteristic, complemented
73C2×C42×D7C2211yescharacteristic
74C2×#6433C2211yescharacteristic, complemented
75C7×#399C2211yescharacteristic
76C7×#397C2211yescharacteristic, complemented
77C7×#395C2211yescharacteristic, complemented
78C7×#394C2211yescharacteristic
79C7×#391C2211yescharacteristic, complemented
80C7×#388C2211yescharacteristic
81C7×#388C2211yescharacteristic
82C7×#388C2211yescharacteristic
83C7×#387C2211yescharacteristic, complemented
84C7×#386C2211yescharacteristic
85C7×#380C2211yescharacteristic, complemented
86C4×C7×C4⋊C4C2211yescharacteristic, complemented
87C4×C7×C22⋊C4C2211yescharacteristic, complemented
88#90003C2211yescharacteristic, complemented
89#90002C2211yescharacteristic, complemented
90#89995C2211yescharacteristic
91#89992C2211yescharacteristic
92#89985C2211yescharacteristic, complemented
93#89766C2211yescharacteristic
94#89766C2211yescharacteristic, complemented
95#89764C2211yescharacteristic
96#89763C2211yescharacteristic
97#89762C2211yescharacteristic
98#89761C2211yescharacteristic
99#89761C2211yescharacteristic, complemented
100#89760C2211yescharacteristic
101#89760C2211yescharacteristic
102#89760C2211yescharacteristic
103#89760C2211yescharacteristic, complemented
104#89759C2211yescharacteristic
105#89757C2211yescharacteristic, complemented
106#89757C2211yescharacteristic, complemented
107#89757C2211yescharacteristic, complemented
108#89756C2211yescharacteristic, complemented
109#89754C2211yescharacteristic, complemented
110#89752C2211yescharacteristic, complemented
111#89752C2211yescharacteristic, complemented
112#89744C2211yescharacteristic, complemented
113#89733C2211yescharacteristic
114#89733C2211yescharacteristic
115#89732C2211yescharacteristic
116#89732C2211yescharacteristic, complemented
117#89731C2211yescharacteristic
118#89731C2211yescharacteristic, complemented
119#89730C2211yescharacteristic
120#89730C2211yescharacteristic, complemented
121#89730C2211yescharacteristic, complemented
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89729C2211yescharacteristic
126#89728C2211yescharacteristic
127#89727C2211yescharacteristic
128#89725C2211yescharacteristic
129#89724C2211yescharacteristic, complemented
130#89723C2211yescharacteristic
131#89723C2211yescharacteristic
132#89723C2211yescharacteristic
133#89720C2211yescharacteristic
134#89720C2211yescharacteristic
135#89717C2211yescharacteristic
136#89716C2211yescharacteristic
137C22⋊C4×Dic7C2211yescharacteristic, complemented
138C22⋊C4×Dic7C2211yescharacteristic, complemented
139#89712C2211yescharacteristic
140#89712C2211yescharacteristic
141#89712C2211yescharacteristic, complemented
142#89711C2211yescharacteristic
143C4×(C2×D7)⋊C4C2211yescharacteristic
144C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
146#89705C2211yescharacteristic, complemented
147C4×Dic7⋊C4C2211yescharacteristic, complemented
148C42×Dic7C2211yescharacteristic, complemented
149#89447C2211yescharacteristic, complemented
150#89445C2211yescharacteristic
151#89444C2211yescharacteristic
152#89444C2211yescharacteristic, complemented
153#89443C2211yescharacteristic
154#89442C2211yescharacteristic
155#89442C2211yescharacteristic
156#89442C2211yescharacteristic
157#89442C2211yescharacteristic, complemented
158#89442C2211yescharacteristic, complemented
159#89442C2211yescharacteristic, complemented
160#89442C2211yescharacteristic, complemented
161#89441C2211yescharacteristic
162#89441C2211yescharacteristic
163#89441C2211yescharacteristic
164#89441C2211yescharacteristic, complemented
165#89441C2211yescharacteristic, complemented
166#89441C2211yescharacteristic, complemented
167#89441C2211yescharacteristic, complemented
168#89440C2211yescharacteristic
169#89440C2211yescharacteristic, complemented
170#89438C2211yescharacteristic
171#89438C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89436C2211yescharacteristic
178D7×#95C2211yescharacteristic
179D7×#95C2211yescharacteristic
180#89433C2211yescharacteristic, complemented
181#89432C2211yescharacteristic, complemented
182#89428C2211yescharacteristic, complemented
183#89422C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#35009—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#126—24no—
217C7×#124—24no—
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
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×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247#6510—24no—
248#6509—24no—
249#6502—24no—
250#6500—24no—
251#6493—42no—
252C4×C22⋊D7—24no—
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7—42no—
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322#6461—24no—
323#6460—24no—
324#6459—24no—
325#6458—24no—
326#6457—24no—
327#6457—24no—
328D7×C4⋊C4—24no—
329#6453—24no—
330#6449—24no—
331#6449—24no—
332#6448—42no—
333#6447—24no—
334#6447—24no—
335#6447—24no—
336#6446—24no—
337#6446—24no—
338#6446—24no—
339#6445—24no—
340#6445—24no—
341(C22⋊D7)⋊C4—24no—
342(C22⋊D7)⋊C4D418yescomplemented
343D7×C22⋊C4—24no—
344D7×C22⋊C4—24no—
345D7×C22⋊C4—42no—
346#6442—24no—
347#6441—24no—
348#6439—24no—
349C4×D28—24no—
350C4×D28—24no—
351C4×D28—42no—
352C42×D7—42no—
353#6433—24no—
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
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#539—71no—
387C2×#538—71no—
388#2861—71no—
389#2860—71no—
390#2854—71no—
391#2850—71no—
392#2664—71no—
393#2663—71no—
394#2662—71no—
395#2661—71no—
396#2560—71no—
397#2559—71no—
398#2558—71no—
399#2557—71no—
400#2549—71no—
401#2543—71no—
402#2539—71no—
403#2534—71no—
404#2521D711yescharacteristic, complemented
405#2519—71no—
406#2488—71no—
407#2472—71no—
408#2464—71no—
409#2461—71no—
410#2425—71no—
411#2424—71no—
412#2322—71no—
413#2321—71no—
414C4×#121—71no—
415C2×#388—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×Q8—22no—
431C2×C7×Q8—41no—
432C2×C7×Q8—41no—
433C2×C7×D4—22no—
434C2×C7×D4—41no—
435C2×C7×D4—41no—
436C22×C4×C7—22no—
437C22×C4×C7—22no—
438C22×C4×C7—41no—
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
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
452C2×C22⋊D7—22no—
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—41no—
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—
468C2×C22⋊D7—41no—
469C2×C22⋊D7C2×D414yes—
470C22×Dic7—22no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7C2×D414yes—
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C2×D28—22no—
489C2×D28—22no—
490C2×D28—22no—
491C2×D28—22no—
492C2×D28—22no—
493C2×D28—22no—
494C2×D28—22no—
495C2×D28—22no—
496C2×D28—22no—
497C2×D28—41no—
498C2×D28—41no—
499C2×D28—41no—
500C2×D28—41no—
501C2×D28—41no—
502C2×D28—41no—
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—22no—
506C2×C4×D7—22no—
507C2×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7—41no—
524C2×C4×D7—41no—
525C2×C4×D7C2×D414yes—
526C2×C4×D7#4114yes—
527C2×Dic14—22no—
528C2×Dic14—41no—
529C2×Dic14—41no—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—22no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—22no—
535C7×C4⋊C4—41no—
536C7×C4⋊C4—41no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—22no—
543C7×C22⋊C4—22no—
544C7×C22⋊C4—22no—
545C7×C22⋊C4—22no—
546C7×C22⋊C4—41no—
547C7×C22⋊C4C2×D414yes—
548C42×C7—22no—
549C42×C7—22no—
550C42×C7—22no—
551C42×C7—41no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—41no—
558C22⋊Dic7—41no—
559(C2×D7)⋊C4—22no—
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—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—22no—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
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)⋊C4C2×D414yes—
592(C2×D7)⋊C4#4114yes—
593C4⋊Dic7—22no—
594C4⋊Dic7—22no—
595C4⋊Dic7—22no—
596C4⋊Dic7—22no—
597C4⋊Dic7—22no—
598C4⋊Dic7—22no—
599C4⋊Dic7—22no—
600C4⋊Dic7—41no—
601C4⋊Dic7—41no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—41no—
614Dic7⋊C4—41no—
615Dic7⋊C4C2×D414yes—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—41no—
621C4×Dic7—41no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7C2×D414yes—
627#539—148no—
628#538—148no—
629C2×#126—71no—
630C2×#126—71no—
631C2×#126—71no—
632C2×#126C2×D711yescharacteristic, complemented
633C2×#125—71no—
634C2×#125—71no—
635C2×#124—71no—
636C2×#124—71no—
637C2×#124C2×D711yescharacteristic
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123—71no—
645C2×C22⋊Q8—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121—71no—
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×C4×D4—71no—
659C2×C4×D4—71no—
660C2×C4×D4—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C22×C4⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667C22×C22⋊C4—71no—
668C22×C42—71no—
669C22×C42—71no—
670#400—71no—
671#400—71no—
672#399—71no—
673#399C2×D711yescharacteristic
674#398—71no—
675#398—71no—
676#398—71no—
677#398—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397C2×D711yescharacteristic, complemented
682#396—71no—
683#396—71no—
684#396—71no—
685#396—71no—
686#395—71no—
687#395C2×D711yescharacteristic, complemented
688#394—71no—
689#394—71no—
690#394—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394C2×D711yescharacteristic
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392—71no—
701#392—71no—
702#391—71no—
703#391—71no—
704#391C2×D711yescharacteristic, complemented
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#390—71no—
710#390—71no—
711#390—71no—
712#390—71no—
713#390—71no—
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389—71no—
719#389—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#388—71no—
743#388C2×D711yescharacteristic
744#388C2×D711yescharacteristic
745#388C2×D711yescharacteristic
746#387—71no—
747#387C2×D711yescharacteristic, complemented
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386—71no—
757#386—71no—
758#386—71no—
759#386C2×D711yescharacteristic
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#382—71no—
765#381—71no—
766#380—71no—
767#380C2×D711yescharacteristic, complemented
768#379—71no—
769C4×C4⋊C4—71no—
770C4×C4⋊C4—71no—
771C4×C4⋊C4—71no—
772C4×C4⋊C4C2×D711yescharacteristic, complemented
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4—71no—
780C4×C22⋊C4C2×D711yescharacteristic, complemented
781C2×#95—71no—
782C2×#95—71no—
783C43—71no—
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×C7C22×D412yes—
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—44no—
825C22×D7—44no—
826C22×D7—44no—
827C22×D7—82no—
828C22×D7—82no—
829C22×D7—82no—
830C22×D7—82no—
831C22×D7C22×D412yes—
832C22×D7C2×#4112yes—
833C22×D7C2×#4112yes—
834C7×Q8—82no—
835C7×D4—82no—
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—21no—
870C2×C4×C7—44no—
871C2×C4×C7C22×D412yes—
872C2×C4×C7C22×D412yes—
873C2×C4×C7C2×#4112yes—
874C2×C4×C7C2×#4112yes—
875C2×C4×C7H(5,𝔽2)12yes—
876C22⋊D7—28no—
877C22⋊D7—82no—
878C22⋊D7—82no—
879C22⋊D7—82no—
880C22⋊D7—82no—
881C22⋊D7—82no—
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—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—44no—
914C2×Dic7—44no—
915C2×Dic7C22×D412yes—
916C2×Dic7C22×D412yes—
917C2×Dic7C22×D412yes—
918C2×Dic7C2×#4112yes—
919C2×Dic7C2×#4112yes—
920D28—44no—
921D28—44no—
922D28—44no—
923D28—82no—
924D28—82no—
925C4×D7—44no—
926C4×D7—44no—
927C4×D7—44no—
928C4×D7—44no—
929C4×D7—82no—
930C4×D7—82no—
931C4×D7—82no—
932C4×D7—82no—
933Dic14—82no—
934C25—71no—
935C22×Q8—71no—
936C22×Q8C22×D711yescharacteristic
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×D4C22×D711yescharacteristic
949C23×C4—71no—
950C23×C4—71no—
951C23×C4—71no—
952C23×C4—71no—
953C23×C4—71no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4C22×D711yescharacteristic
960#126—24no—
961#126—144no—
962#126—144no—
963#126—144no—
964#125—144no—
965#125—144no—
966#124—24no—
967#124—144no—
968#124—282no—
969#123—144no—
970#123—144no—
971#123—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976C22⋊Q8—144no—
977C22⋊Q8—144no—
978C22⋊Q8—144no—
979C22⋊Q8—144no—
980#121—144no—
981#121—144no—
982#121—144no—
983#121—144no—
984#121—144no—
985#121—282no—
986#120—144no—
987#120—144no—
988#120—144no—
989C4×D4—78no—
990C4×D4—144no—
991C4×D4—144no—
992C4×D4—144no—
993C4×D4—144no—
994C4×D4—282no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
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—144no—
1019C2×C4⋊C4C22×D711yescharacteristic
1020C2×C4⋊C4C22×D711yescharacteristic
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
1025C2×C4⋊C4C22×D711yescharacteristic
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—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—144no—
1068C2×C22⋊C4—144no—
1069C2×C22⋊C4—282no—
1070C2×C22⋊C4C22×D711yescharacteristic
1071C2×C22⋊C4C22×D711yescharacteristic
1072C2×C22⋊C4C22×D711yescharacteristic
1073C2×C22⋊C4C22×D711yescharacteristic
1074C2×C22⋊C4C22×D711yescharacteristic
1075C2×C22⋊C4C22×D711yescharacteristic
1076C2×C22⋊C4C22×D711yescharacteristic
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C42—71no—
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—71no—
1090C2×C42—71no—
1091C2×C42—71no—
1092C2×C42—282no—
1093C2×C42—282no—
1094C2×C42C22×D711yescharacteristic
1095C2×C42C22×D711yescharacteristic
1096C2×C42C22×D711yescharacteristic
1097C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1121#95C22×D711yescharacteristic
1122#95C22×D711yescharacteristic
1123#95C22×D711yescharacteristic
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130C22×C7—22no—
1131C22×C7—22no—
1132C22×C7—22no—
1133C22×C7—41no—
1134C22×C7—41no—
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×C7C23×D411yescharacteristic
1145C22×C7C22×#4111yescharacteristic
1146C22×C7C22×#4111yescharacteristic
1147C22×C7C2×H(5,𝔽2)11yescharacteristic
1148C22×C7#58511yescharacteristic
1149C22×C7#58511yescharacteristic
1150C22×C7#58511yescharacteristic
1151C2×D7—22no—
1152C2×D7—22no—
1153C2×D7—22no—
1154C2×D7—22no—
1155C2×D7—22no—
1156C2×D7—22no—
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—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—88no—
1179C2×D7#53214yes—
1180C4×C7—22no—
1181C4×C7—22no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—22no—
1185C4×C7—41no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192C4×C7—41no—
1193Dic7—22no—
1194Dic7—22no—
1195Dic7—22no—
1196Dic7—22no—
1197Dic7—22no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205C24—71no—
1206C24—71no—
1207C24—71no—
1208C24—71no—
1209C24—142no—
1210C24—142no—
1211C24—142no—
1212C24—281no—
1213C24—281no—
1214C24—281no—
1215C24—281no—
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C2×Q8—22no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×Q8—142no—
1222C2×Q8—281no—
1223C2×Q8—281no—
1224C2×D4—22no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—74no—
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—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—142no—
1243C2×D4—142no—
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—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—71no—
1264C22×C4—71no—
1265C22×C4—71no—
1266C22×C4—71no—
1267C22×C4—71no—
1268C22×C4—74no—
1269C22×C4—74no—
1270C22×C4—74no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—142no—
1279C22×C4—142no—
1280C22×C4—142no—
1281C22×C4—142no—
1282C22×C4—142no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—281no—
1289C22×C4—281no—
1290C22×C4—281no—
1291C22×C4—281no—
1292C22×C4—281no—
1293C22×C4—281no—
1294C22×C4—281no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4C23×D711yescharacteristic
1306C22×C4C23×D711yescharacteristic
1307C22×C4C23×D711yescharacteristic
1308C22×C4C23×D711yescharacteristic
1309C22×C4C23×D711yescharacteristic
1310C22×C4C23×D711yescharacteristic
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—74no—
1326C4⋊C4—142no—
1327C4⋊C4—142no—
1328C4⋊C4—142no—
1329C4⋊C4—142no—
1330C4⋊C4—142no—
1331C4⋊C4—142no—
1332C4⋊C4—142no—
1333C4⋊C4—142no—
1334C4⋊C4—142no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—142no—
1343C4⋊C4—142no—
1344C4⋊C4—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C4⋊C4—281no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—41no—
1358C22⋊C4—74no—
1359C22⋊C4—74no—
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—142no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—142no—
1387C22⋊C4—142no—
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⋊C4D4×D714yes—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—41no—
1404C42—74no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—142no—
1409C42—281no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—42no—
1416C2×C7—81no—
1417C2×C7C2×#53211yescharacteristic
1418C2×C7#345511yescharacteristic
1419C2×C7#345911yescharacteristic
1420C2×C7#349611yescharacteristic
1421C2×C7#350011yescharacteristic
1422C2×C7#351311yescharacteristic
1423C2×C7#352111yescharacteristic
1424D7—24no—
1425D7—81no—
1426D7—81no—
1427D7—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—72no—
1442C23—72no—
1443C23—72no—
1444C23—141no—
1445C23—141no—
1446C23—141no—
1447C23—141no—
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—284no—
1470C23—284no—
1471C23—284no—
1472C23—562no—
1473C23—562no—
1474C23—562no—
1475C23—562no—
1476C23C2×D4×D712yes—
1477C23C24×D711yescharacteristic
1478Q8—82no—
1479Q8—562no—
1480D4—82no—
1481D4—148no—
1482D4—284no—
1483D4—284no—
1484D4—284no—
1485D4—562no—
1486D4—562no—
1487D4—562no—
1488D4—562no—
1489D4—562no—
1490D4—562no—
1491D4—562no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
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—44no—
1527C2×C4—72no—
1528C2×C4—72no—
1529C2×C4—72no—
1530C2×C4—72no—
1531C2×C4—72no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
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—284no—
1564C2×C4—284no—
1565C2×C4—284no—
1566C2×C4—284no—
1567C2×C4—284no—
1568C2×C4—284no—
1569C2×C4—562no—
1570C2×C4—562no—
1571C2×C4—562no—
1572C2×C4—562no—
1573C2×C4C2×D4×D712yes—
1574C2×C4C2×D4×D712yes—
1575C2×C4D7×#4112yes—
1576C2×C4D7×#4112yes—
1577C2×C4#655312yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—74no—
1594C22—142no—
1595C22—142no—
1596C22—142no—
1597C22—142no—
1598C22—142no—
1599C22—142no—
1600C22—281no—
1601C22—281no—
1602C22—281no—
1603C22—281no—
1604C22—281no—
1605C22—281no—
1606C22—281no—
1607C22—281no—
1608C22—281no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22—568no—
1622C22C22×D4×D711yescharacteristic
1623C22C2×D7×#4111yescharacteristic
1624C22C2×D7×#4111yescharacteristic
1625C22C2×#655311yescharacteristic
1626C22#9061611yescharacteristic
1627C22#9061811yescharacteristic
1628C22#9062011yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—142no—
1643C4—142no—
1644C4—142no—
1645C4—142no—
1646C4—142no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—42no—
1655C2—81no—
1656C2—144no—
1657C2—561no—
1658C2—561no—
1659C2—561no—
1660C2#1174321511yescharacteristic
1661C2D7×#53211yescharacteristic
1662C2#1174359111yescharacteristic
1663C2#1174370011yescharacteristic
1664C2#1174377011yescharacteristic
1665C2#1174386311yescharacteristic
1666C2#1174405911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2521C2
hypercenter#2521D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2521

Complements

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

NH ≅ G/Ntype
1. C2×#90398C2semidirect
2. C2×#90369C2semidirect
3. C7×#2521C2semidirect
4. #11740554C2semidirect
5. #11740444C2semidirect
6. #11735552C2semidirect
7. #11735504C2semidirect
8. #11735127C2semidirect
9. #11735010C2semidirect
10. #11734698C2semidirect
11. #11734654C2semidirect
12. #11734564C2semidirect
13. #11734439C2semidirect
14. #11734074C2semidirect
15. #11734051C2semidirect
16. #11733331C2semidirect
17. #11733272C2semidirect
18. D7×#388C2semidirect
19. #11733265C2semidirect
20. #11732972C2semidirect
21. #11732957C2semidirect
22. #11732804C2semidirect
23. #11732742C2semidirect
24. #11732339C2semidirect
25. #11732314C2semidirect
26. #11731467C2semidirect
27. #11731444C2semidirect
28. C4×#6458C2semidirect
29. #11731144C2semidirect
30. #11731036C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
32. C2×C7×#126C22semidirect
40. C22×C4×Dic7C22semidirect
43. C2×#6461C22semidirect
45. C2×#6459C22semidirect
50. C2×#6453C22semidirect
52. C2×#6449C22semidirect
59. C2×#6446C22semidirect
68. C2×#6441C22semidirect
72. C2×C4×D28C22semidirect
74. C2×#6433C22semidirect
76. C7×#397C22semidirect
77. C7×#395C22semidirect
79. C7×#391C22semidirect
83. C7×#387C22semidirect
85. C7×#380C22semidirect
86. C4×C7×C4⋊C4C22semidirect
87. C4×C7×C22⋊C4C22semidirect
88. #90003C22semidirect
89. #90002C22semidirect
92. #89985C22semidirect
94. #89766C22semidirect
99. #89761C22semidirect
103. #89760C22semidirect
105. #89757C22semidirect
106. #89757C22semidirect
107. #89757C22semidirect
108. #89756C22semidirect
109. #89754C22semidirect
110. #89752C22semidirect
111. #89752C22semidirect
112. #89744C22semidirect
116. #89732C22semidirect
118. #89731C22semidirect
120. #89730C22semidirect
121. #89730C22semidirect
129. #89724C22semidirect
137. C22⋊C4×Dic7C22semidirect
138. C22⋊C4×Dic7C22semidirect
141. #89712C22semidirect
144. C4×(C2×D7)⋊C4C22semidirect
145. C4×(C2×D7)⋊C4C22semidirect
146. #89705C22semidirect
147. C4×Dic7⋊C4C22semidirect
148. C42×Dic7C22semidirect
149. #89447C22semidirect
152. #89444C22semidirect
157. #89442C22semidirect
158. #89442C22semidirect
159. #89442C22semidirect
160. #89442C22semidirect
164. #89441C22semidirect
165. #89441C22semidirect
166. #89441C22semidirect
167. #89441C22semidirect
169. #89440C22semidirect
180. #89433C22semidirect
181. #89432C22semidirect
182. #89428C22semidirect
183. #89422C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89419C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
342. (C22⋊D7)⋊C4D4semidirect
404. #2521D7semidirect
632. C2×#126C2×D7semidirect
681. #397C2×D7semidirect
687. #395C2×D7semidirect
704. #391C2×D7semidirect
747. #387C2×D7semidirect
767. #380C2×D7semidirect
772. C4×C4⋊C4C2×D7semidirect
780. C4×C22⋊C4C2×D7semidirect
1578. C7#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#903982
C2×#903692
C7×#25212
#117405542
#117404442
#117355522
#117355042
#117351272
#117350102
#117346982
#117346542
#117345642
#117344392
#117340742
#117340512
#117333312
#117332722
D7×#3882
#117332652
#117329722
#117329572
#117328042
#117327422
#117323392
#117323142
#117314672
#117314442
C4×#64582
#117311442
#117310362
C4×(C22⋊D7)⋊C42
#350097