Finite Group Databasebeta

← #13515219

Subgroups — #13515219

Order 1792.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90395C211yesmaximal, characteristic
2C7×#2373C211yesmaximal, characteristic, complemented
3#11740520C211yesmaximal, characteristic, complemented
4#11733651C211yesmaximal, characteristic, complemented
5#11733420C211yesmaximal, characteristic, complemented
6#11733281C211yesmaximal, characteristic, complemented
7#11733281C211yesmaximal, characteristic, complemented
8D7×#388C211yesmaximal, characteristic, complemented
9#11732925C211yesmaximal, characteristic, complemented
10#11732917C211yesmaximal, characteristic, complemented
11#11732898C211yesmaximal, characteristic, complemented
12#11732754C211yesmaximal, characteristic, complemented
13#11732420C211yesmaximal, characteristic, complemented
14#11732410C211yesmaximal, characteristic, complemented
15#11732397C211yesmaximal, characteristic, complemented
16#11732390C211yesmaximal, characteristic, complemented
17#11732387C211yesmaximal, characteristic, complemented
18#11732041C211yesmaximal, characteristic, complemented
19#11731835C211yesmaximal, characteristic, complemented
20#11731220C211yesmaximal, characteristic, complemented
21#11731217C211yesmaximal, characteristic, complemented
22C4×#6458C211yesmaximal, characteristic, complemented
23#11731196C211yesmaximal, characteristic, complemented
24#11731100C211yesmaximal, characteristic, complemented
25C4×#6456C211yesmaximal, characteristic, complemented
26#11731024C211yesmaximal, characteristic, complemented
27#11731022C211yesmaximal, characteristic, complemented
28#11731005C211yesmaximal, characteristic, complemented
29C4×#6448C211yesmaximal, characteristic, complemented
30#11730859C211yesmaximal, characteristic, complemented
31#11730840C211yesmaximal, characteristic, complemented
32C2×C7×#126C2211yescharacteristic
33C2×C4×C22⋊D7C2211yescharacteristic
34C22×(C2×D7)⋊C4C2211yescharacteristic
35#90395C4116yescomplemented
36C2×#6461C2211yescharacteristic
37C2×#6459C2211yescharacteristic
38C2×#6458C2211yescharacteristic
39C2×#6458C2211yescharacteristic
40C2×#6457C2211yescharacteristic
41C2×#6456C2211yescharacteristic
42C2×#6456C2211yescharacteristic
43C2×#6456C2211yescharacteristic
44C2×#6456C2211yescharacteristic
45C2×D7×C4⋊C4C2211yescharacteristic
46C2×#6448C2211yescharacteristic
47C2×#6447C2211yescharacteristic
48C2×#6446C2211yescharacteristic
49C2×#6445C2211yescharacteristic
50C2×#6445C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×D7×C22⋊C4C2211yescharacteristic
53C2×D7×C22⋊C4C2211yescharacteristic
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×#6438C2211yescharacteristic
57C2×C4×D28C2211yescharacteristic
58C2×C4×D28C2211yescharacteristic
59C2×C4×D28C2211yescharacteristic
60C2×C4×D28C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic, complemented
62C2×#6435C2211yescharacteristic, complemented
63C2×C42×D7C2211yescharacteristic
64C2×C42×D7C2211yescharacteristic, complemented
65C2×C4×Dic14C2211yescharacteristic, complemented
66C7×#389C2211yescharacteristic, complemented
67C7×#388C2211yescharacteristic
68C7×#388C2211yescharacteristic
69C7×#388C2211yescharacteristic
70C7×#387C2211yescharacteristic, complemented
71C7×#387C2211yescharacteristic, complemented
72C7×#387C2211yescharacteristic, complemented
73C7×#385C2211yescharacteristic
74C4×C7×C4⋊C4C2211yescharacteristic, complemented
75C4×C7×C4⋊C4C2211yescharacteristic, complemented
76C4×C7×C4⋊C4C2211yescharacteristic, complemented
77C4×C7×C22⋊C4C2211yescharacteristic
78C4×C7×C22⋊C4C2211yescharacteristic
79C7×#376C2211yescharacteristic, complemented
80#89985C2211yescharacteristic
81C4×C22⋊Dic7C2211yescharacteristic
82#89762C2211yescharacteristic
83#89762C2211yescharacteristic
84#89762C2211yescharacteristic, complemented
85#89761C2211yescharacteristic
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic, complemented
89#89761C2211yescharacteristic, complemented
90#89760C2211yescharacteristic
91#89760C2211yescharacteristic, complemented
92#89759C2211yescharacteristic, complemented
93#89757C2211yescharacteristic, complemented
94#89753C2211yescharacteristic, complemented
95#89753C2211yescharacteristic, complemented
96#89753C2211yescharacteristic, complemented
97#89750C2211yescharacteristic, complemented
98C4⋊C4×Dic7C2211yescharacteristic, complemented
99C4⋊C4×Dic7C2211yescharacteristic, complemented
100C4⋊C4×Dic7C2211yescharacteristic, complemented
101C4⋊C4×Dic7C2211yescharacteristic, complemented
102C4⋊C4×Dic7C2211yescharacteristic, complemented
103#89744C2211yescharacteristic, complemented
104#89730C2211yescharacteristic
105#89729C2211yescharacteristic
106#89729C2211yescharacteristic
107#89728C2211yescharacteristic
108#89728C2211yescharacteristic
109#89723C2211yescharacteristic
110#89723C2211yescharacteristic
111#89723C2211yescharacteristic
112#89722C2211yescharacteristic
113#89717C2211yescharacteristic
114#89716C2211yescharacteristic
115C22⋊C4×Dic7C2211yescharacteristic
116C22⋊C4×Dic7C2211yescharacteristic
117C22⋊C4×Dic7C2211yescharacteristic
118#89712C2211yescharacteristic
119#89712C2211yescharacteristic
120#89712C2211yescharacteristic, complemented
121#89711C2211yescharacteristic
122C4×(C2×D7)⋊C4C2211yescharacteristic
123C4×(C2×D7)⋊C4C2211yescharacteristic
124C4×(C2×D7)⋊C4C2211yescharacteristic
125C4×(C2×D7)⋊C4C2211yescharacteristic
126C4×(C2×D7)⋊C4C2211yescharacteristic
127C4×(C2×D7)⋊C4C2211yescharacteristic
128C4×(C2×D7)⋊C4C2211yescharacteristic
129C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
130C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
131C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
132C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
133C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
134C4×C4⋊Dic7C2211yescharacteristic, complemented
135#89705C2211yescharacteristic, complemented
136#89705C2211yescharacteristic, complemented
137#89704C2211yescharacteristic, complemented
138C42×Dic7C2211yescharacteristic, complemented
139#89701C2211yescharacteristic, complemented
140#89442C2211yescharacteristic
141#89442C2211yescharacteristic
142#89442C2211yescharacteristic, complemented
143#89442C2211yescharacteristic, complemented
144#89442C2211yescharacteristic, complemented
145#89441C2211yescharacteristic
146#89441C2211yescharacteristic
147#89441C2211yescharacteristic, complemented
148#89441C2211yescharacteristic, complemented
149#89441C2211yescharacteristic, complemented
150#89440C2211yescharacteristic
151#89440C2211yescharacteristic
152#89440C2211yescharacteristic
153#89438C2211yescharacteristic
154#89438C2211yescharacteristic
155#89438C2211yescharacteristic
156#89438C2211yescharacteristic
157#89438C2211yescharacteristic
158#89438C2211yescharacteristic
159#89438C2211yescharacteristic
160#89438C2211yescharacteristic, complemented
161#89438C2211yescharacteristic, complemented
162#89438C2211yescharacteristic, complemented
163#89438C2211yescharacteristic, complemented
164#89437C2211yescharacteristic
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89436C2211yescharacteristic, complemented
175D7×#95C2211yescharacteristic
176D7×#95C2211yescharacteristic
177D7×#95C2211yescharacteristic, complemented
178#89427C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89423C2211yescharacteristic, complemented
182#89422C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34283—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C23×C4×C7C2311yescharacteristic
191C22×C22⋊D7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C23×Dic7C2311yescharacteristic
194C22×D28C2311yescharacteristic
195C22×D28C2311yescharacteristic
196C22×D28C2311yescharacteristic
197C22×D28C2311yescharacteristic
198C22×D28C2311yescharacteristic
199C22×C4×D7C2311yescharacteristic
200C22×C4×D7C2311yescharacteristic
201C22×C4×D7C2311yescharacteristic
202C22×C4×D7C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C7×#126C2×C418yescomplemented
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C42×C7C2311yescharacteristic
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C4×C22⋊D7—42no—
242C2×(C2×D7)⋊C4—24no—
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
276C2×C4⋊Dic7C2311yescharacteristic
277C2×C4⋊Dic7C2311yescharacteristic
278C2×C4⋊Dic7C2311yescharacteristic
279C2×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×Dic7⋊C4C2311yescharacteristic
282C2×Dic7⋊C4C2311yescharacteristic
283C2×Dic7⋊C4C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307#6461C2×C418yescomplemented
308#6459C2×C418yescomplemented
309#6458C2×C418yescomplemented
310#6458C2×C418yescomplemented
311#6457C2×C418yescomplemented
312#6456—24no—
313#6456—24no—
314#6456—24no—
315#6456C2×C418yescomplemented
316D7×C4⋊C4—42no—
317#6448C2×C418yescomplemented
318#6447C2×C418yescomplemented
319#6446C2×C418yescomplemented
320#6445C2×C418yescomplemented
321#6445C2×C418yescomplemented
322(C22⋊D7)⋊C4—42no—
323D7×C22⋊C4—24no—
324D7×C22⋊C4—42no—
325D7×C22⋊C4—42no—
326D7×C22⋊C4C2×C418yescomplemented
327#6438C2×C418yescomplemented
328C4×D28—24no—
329C4×D28—42no—
330C4×D28—42no—
331C4×D28—42no—
332C4×D28C2×C418yescomplemented
333#6435—42no—
334C42×D7—42no—
335C42×D7—42no—
336C4×Dic14—42no—
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
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C2×#538—71no—
378#2374—71no—
379#2373—71no—
380#2373D711yescharacteristic, complemented
381#2372—71no—
382#2368—71no—
383#2367—71no—
384#2364—71no—
385#2364—71no—
386#2363—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2358—71no—
391#2358—71no—
392#2358—71no—
393#2358—71no—
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2333—71no—
398#2318—71no—
399C4×#126—71no—
400C4×#124—71no—
401C4×#123—71no—
402C4×#121—71no—
403#2290—71no—
404C2×#388—71no—
405#2275—71no—
406#2273—71no—
407C42×D4—71no—
408C24×C7C2411yescharacteristic
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7C22×C414yes—
416C23×D7C2411yescharacteristic
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C22×C4×C7—22no—
421C22×C4×C7—41no—
422C22×C4×C7—41no—
423C22×C4×C7C2411yescharacteristic
424C22×C4×C7C2411yescharacteristic
425C22×C4×C7C2411yescharacteristic
426C22×C4×C7C2411yescharacteristic
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C2×C22⋊D7—41no—
438C2×C22⋊D7—41no—
439C2×C22⋊D7—41no—
440C2×C22⋊D7—41no—
441C2×C22⋊D7C22×C414yes—
442C2×C22⋊D7C22×C414yes—
443C22×Dic7—22no—
444C22×Dic7—41no—
445C22×Dic7—41no—
446C22×Dic7C2411yescharacteristic
447C22×Dic7C2411yescharacteristic
448C22×Dic7C2411yescharacteristic
449C22×Dic7C2411yescharacteristic
450C22×Dic7C2411yescharacteristic
451C22×Dic7C2411yescharacteristic
452C22×Dic7C2411yescharacteristic
453C22×Dic7C2411yescharacteristic
454C22×Dic7C2411yescharacteristic
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C2×D28—22no—
459C2×D28—22no—
460C2×D28—22no—
461C2×D28—22no—
462C2×D28—41no—
463C2×D28—41no—
464C2×D28—41no—
465C2×D28—41no—
466C2×D28—41no—
467C2×D28—41no—
468C2×D28C22×C414yes—
469C2×D28C22×C414yes—
470C2×D28C22×C414yes—
471C2×D28C22×C414yes—
472C2×D28C22×C414yes—
473C2×C4×D7—22no—
474C2×C4×D7—22no—
475C2×C4×D7—22no—
476C2×C4×D7—22no—
477C2×C4×D7—22no—
478C2×C4×D7—22no—
479C2×C4×D7—22no—
480C2×C4×D7—22no—
481C2×C4×D7—22no—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—41no—
488C2×C4×D7—41no—
489C2×C4×D7—41no—
490C2×C4×D7—41no—
491C2×C4×D7—41no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7C22×C414yes—
512C2×C4×D7C22×C414yes—
513C2×C4×D7C22×C414yes—
514C2×C4×D7C22×C414yes—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14C22×C414yes—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4C22×C414yes—
524C7×C4⋊C4C22×C414yes—
525C7×C4⋊C4C22×C414yes—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4C22×C414yes—
530C7×C22⋊C4C22×C414yes—
531C7×C22⋊C4C22×C414yes—
532C42×C7—22no—
533C42×C7—22no—
534C42×C7—22no—
535C42×C7—41no—
536C42×C7—41no—
537C42×C7—41no—
538C42×C7—41no—
539C42×C7C22×C414yes—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—41no—
543C22⋊Dic7C22×C414yes—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4C22×C414yes—
565(C2×D7)⋊C4C22×C414yes—
566(C2×D7)⋊C4C22×C414yes—
567(C2×D7)⋊C4C22×C414yes—
568(C2×D7)⋊C4C22×C414yes—
569(C2×D7)⋊C4C22×C414yes—
570(C2×D7)⋊C4C22×C414yes—
571(C2×D7)⋊C4C22×C414yes—
572(C2×D7)⋊C4C22×C414yes—
573(C2×D7)⋊C4C22×C414yes—
574(C2×D7)⋊C4#4114yes—
575(C2×D7)⋊C4#4114yes—
576C4⋊Dic7—22no—
577C4⋊Dic7—22no—
578C4⋊Dic7—22no—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581C4⋊Dic7C22×C414yes—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4C22×C414yes—
589Dic7⋊C4C22×C414yes—
590C4×Dic7—22no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—41no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7C22×C414yes—
608#538—716no—
609C2×#126—71no—
610C2×#126C2×D711yescharacteristic
611C2×#124—71no—
612C2×#124—71no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×#121—71no—
617C2×#121—71no—
618C2×#121—71no—
619C2×#120—71no—
620C2×#120—71no—
621C2×C4×Q8—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4—71no—
632C2×C4×D4—71no—
633C2×#117—71no—
634C22×C4⋊C4—71no—
635C22×C22⋊C4—71no—
636C22×C22⋊C4—71no—
637C22×C22⋊C4—71no—
638C22×C22⋊C4—71no—
639C22×C22⋊C4—71no—
640C22×C42—71no—
641C22×C42—71no—
642#391—71no—
643#391—71no—
644#391—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#390—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#389C2×D711yescharacteristic, complemented
654#388—71no—
655#388—71no—
656#388—71no—
657#388—71no—
658#388—71no—
659#388—71no—
660#388—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388C2×D711yescharacteristic
676#388C2×D711yescharacteristic
677#388C2×D711yescharacteristic
678#387—71no—
679#387—71no—
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#387C2×D711yescharacteristic, complemented
688#387C2×D711yescharacteristic, complemented
689#387C2×D711yescharacteristic, complemented
690#386—71no—
691#386—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#385—71no—
705#385—71no—
706#385—71no—
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385—71no—
713#385C2×D711yescharacteristic
714#383—71no—
715#382—71no—
716#381—71no—
717#380—71no—
718C4×C4⋊C4—71no—
719C4×C4⋊C4—71no—
720C4×C4⋊C4—71no—
721C4×C4⋊C4—71no—
722C4×C4⋊C4—71no—
723C4×C4⋊C4—71no—
724C4×C4⋊C4—71no—
725C4×C4⋊C4—71no—
726C4×C4⋊C4C2×D711yescharacteristic, complemented
727C4×C4⋊C4C2×D711yescharacteristic, complemented
728C4×C4⋊C4C2×D711yescharacteristic, complemented
729C4×C22⋊C4—71no—
730C4×C22⋊C4—71no—
731C4×C22⋊C4—71no—
732C4×C22⋊C4—71no—
733C4×C22⋊C4—71no—
734C4×C22⋊C4—71no—
735C4×C22⋊C4—71no—
736C4×C22⋊C4—71no—
737C4×C22⋊C4—71no—
738C4×C22⋊C4—71no—
739C4×C22⋊C4—71no—
740C4×C22⋊C4—71no—
741C4×C22⋊C4—71no—
742C4×C22⋊C4—71no—
743C4×C22⋊C4—71no—
744C4×C22⋊C4—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4C2×D711yescharacteristic
757C4×C22⋊C4C2×D711yescharacteristic
758#376—71no—
759#376C2×D711yescharacteristic, complemented
760C2×#95—71no—
761C2×#95—71no—
762C2×#95—71no—
763C43—71no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7C23×C412yes—
771C23×C7C2511yescharacteristic
772C22×D7—21no—
773C22×D7—21no—
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—28no—
795C22×D7—44no—
796C22×D7—44no—
797C22×D7—82no—
798C22×D7—82no—
799C22×D7—82no—
800C22×D7—82no—
801C22×D7C23×C412yes—
802C22×D7C23×C412yes—
803C22×D7C23×C412yes—
804C22×D7C23×C412yes—
805C22×D7C2×#4112yes—
806C22×D7C2×#4112yes—
807C2×C4×C7—21no—
808C2×C4×C7—21no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
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—82no—
841C2×C4×C7C23×C412yes—
842C2×C4×C7C23×C412yes—
843C2×C4×C7C23×C412yes—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7C2×#4112yes—
849C2×C4×C7H(5,𝔽2)12yes—
850C22⋊D7—44no—
851C22⋊D7—44no—
852C2×Dic7—21no—
853C2×Dic7—21no—
854C2×Dic7—21no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
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—82no—
882C2×Dic7C23×C412yes—
883C2×Dic7C23×C412yes—
884C2×Dic7C23×C412yes—
885C2×Dic7C23×C412yes—
886C2×Dic7C2×#4112yes—
887C2×Dic7C2×#4112yes—
888C2×Dic7H(5,𝔽2)12yes—
889D28—28no—
890D28—28no—
891D28—44no—
892D28—44no—
893D28—44no—
894C4×D7—44no—
895C4×D7—44no—
896C4×D7—44no—
897C4×D7—44no—
898C4×D7—44no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—82no—
903C4×D7—82no—
904C4×D7—82no—
905C4×D7—82no—
906C4×D7—82no—
907C4×D7—82no—
908Dic14—44no—
909C25—71no—
910C22×Q8—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C23×C4—71no—
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4C22×D711yescharacteristic
934#126—78no—
935#126C4×D718yescomplemented
936#124—78no—
937#124—78no—
938#123—78no—
939#123—78no—
940C22⋊Q8—78no—
941#121—78no—
942#121—78no—
943#121—78no—
944#120—78no—
945#120—78no—
946C4×Q8—282no—
947C4×D4—78no—
948C4×D4—78no—
949C4×D4—144no—
950C4×D4—144no—
951C4×D4—144no—
952C4×D4—144no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958#117—282no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
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—282no—
974C2×C4⋊C4C22×D711yescharacteristic
975C2×C4⋊C4C22×D711yescharacteristic
976C2×C4⋊C4C22×D711yescharacteristic
977C2×C4⋊C4C22×D711yescharacteristic
978C2×C4⋊C4C22×D711yescharacteristic
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C22⋊C4—71no—
983C2×C22⋊C4—71no—
984C2×C22⋊C4—71no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—78no—
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—144no—
1020C2×C22⋊C4—144no—
1021C2×C22⋊C4—282no—
1022C2×C22⋊C4—282no—
1023C2×C22⋊C4C22×D711yescharacteristic
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C42—71no—
1030C2×C42—71no—
1031C2×C42—71no—
1032C2×C42—71no—
1033C2×C42—71no—
1034C2×C42—71no—
1035C2×C42—71no—
1036C2×C42—71no—
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—282no—
1048C2×C42—282no—
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052C2×C42C22×D711yescharacteristic
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7C24×C411yescharacteristic
1105C22×C7C22×#4111yescharacteristic
1106C22×C7C22×#4111yescharacteristic
1107C22×C7C2×H(5,𝔽2)11yescharacteristic
1108C22×C7C2×H(5,𝔽2)11yescharacteristic
1109C22×C7#58511yescharacteristic
1110C22×C7#58511yescharacteristic
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—22no—
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—41no—
1127C2×D7—41no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—88no—
1139C2×D7C4×#4114yes—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—22no—
1147C4×C7—22no—
1148C4×C7—22no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166C24—71no—
1167C24—71no—
1168C24—71no—
1169C24—71no—
1170C24—74no—
1171C24—142no—
1172C24—142no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24—281no—
1177C24C23×D711yescharacteristic
1178C2×Q8—74no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×D4—74no—
1182C2×D4—74no—
1183C2×D4—74no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—142no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—281no—
1193C2×D4—281no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C22×C4—22no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—71no—
1206C22×C4—71no—
1207C22×C4—71no—
1208C22×C4—71no—
1209C22×C4—71no—
1210C22×C4—71no—
1211C22×C4—71no—
1212C22×C4—74no—
1213C22×C4—74no—
1214C22×C4—74no—
1215C22×C4—74no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—142no—
1222C22×C4—142no—
1223C22×C4—142no—
1224C22×C4—142no—
1225C22×C4—142no—
1226C22×C4—142no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—281no—
1237C22×C4—281no—
1238C22×C4—281no—
1239C22×C4—281no—
1240C22×C4—281no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4C23×D711yescharacteristic
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—74no—
1282C4⋊C4—74no—
1283C4⋊C4—74no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—281no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4C2×C4×D714yes—
1296C4⋊C4C2×C4×D714yes—
1297C4⋊C4C2×C4×D714yes—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—41no—
1301C22⋊C4—74no—
1302C22⋊C4—74no—
1303C22⋊C4—74no—
1304C22⋊C4—74no—
1305C22⋊C4—74no—
1306C22⋊C4—74no—
1307C22⋊C4—74no—
1308C22⋊C4—74no—
1309C22⋊C4—74no—
1310C22⋊C4—74no—
1311C22⋊C4—74no—
1312C22⋊C4—74no—
1313C22⋊C4—74no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—281no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4C2×C4×D714yes—
1338C22⋊C4C2×C4×D714yes—
1339C22⋊C4C2×C4×D714yes—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—74no—
1348C42—142no—
1349C42—142no—
1350C42—142no—
1351C42—142no—
1352C42—142no—
1353C42—281no—
1354C42—281no—
1355C42—281no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42C2×C4×D714yes—
1366C2×C7—42no—
1367C2×C7C2×C4×#4111yescharacteristic
1368C2×C7C4×H(5,𝔽2)11yescharacteristic
1369C2×C7C4×H(5,𝔽2)11yescharacteristic
1370C2×C7#351311yescharacteristic
1371C2×C7#351411yescharacteristic
1372C2×C7#351911yescharacteristic
1373C2×C7#352111yescharacteristic
1374D7—24no—
1375D7—42no—
1376D7—42no—
1377D7—42no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—72no—
1385C23—72no—
1386C23—72no—
1387C23—72no—
1388C23—72no—
1389C23—72no—
1390C23—148no—
1391C23—141no—
1392C23—141no—
1393C23—141no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—284no—
1414C23—284no—
1415C23—562no—
1416C23—562no—
1417C23—562no—
1418C23—562no—
1419C23C22×C4×D712yes—
1420C23C24×D711yescharacteristic
1421Q8—284no—
1422D4—148no—
1423D4—148no—
1424D4—284no—
1425D4—284no—
1426D4—284no—
1427D4—284no—
1428D4—284no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—72no—
1463C2×C4—72no—
1464C2×C4—72no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—82no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—284no—
1500C2×C4—284no—
1501C2×C4—284no—
1502C2×C4—284no—
1503C2×C4—284no—
1504C2×C4—284no—
1505C2×C4—284no—
1506C2×C4—284no—
1507C2×C4—562no—
1508C2×C4—562no—
1509C2×C4—562no—
1510C2×C4—562no—
1511C2×C4—562no—
1512C2×C4—562no—
1513C2×C4—562no—
1514C2×C4C22×C4×D712yes—
1515C2×C4C22×C4×D712yes—
1516C2×C4C22×C4×D712yes—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4D7×#4112yes—
1521C2×C4D7×#4112yes—
1522C2×C4#655312yes—
1523C7#3428311yescharacteristic, complemented, Sylow
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—74no—
1532C22—142no—
1533C22—142no—
1534C22—142no—
1535C22—142no—
1536C22—142no—
1537C22—142no—
1538C22—142no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—281no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—568no—
1560C22C23×C4×D711yescharacteristic
1561C22C2×D7×#4111yescharacteristic
1562C22C2×D7×#4111yescharacteristic
1563C22C2×#655311yescharacteristic
1564C22#9061611yescharacteristic
1565C22D7×H(5,𝔽2)11yescharacteristic
1566C22#9062011yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—281no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C2—42no—
1594C2—144no—
1595C2—282no—
1596C2—282no—
1597C2—282no—
1598C2C4×D7×#4111yescharacteristic
1599C2C4×#655311yescharacteristic
1600C2#1174295411yescharacteristic
1601C2#1174386511yescharacteristic
1602C2#1174390211yescharacteristic
1603C2#1174395511yescharacteristic
1604C2#1174406011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2373C2
socle, cosocleC23×C7C25
prime radicalC2×#90395C2
hypercenter#2373D7
hypocenterC7#34283
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. C7×#2373C2semidirect
3. #11740520C2semidirect
4. #11733651C2semidirect
5. #11733420C2semidirect
6. #11733281C2semidirect
7. #11733281C2semidirect
8. D7×#388C2semidirect
9. #11732925C2semidirect
10. #11732917C2semidirect
11. #11732898C2semidirect
12. #11732754C2semidirect
13. #11732420C2semidirect
14. #11732410C2semidirect
15. #11732397C2semidirect
16. #11732390C2semidirect
17. #11732387C2semidirect
18. #11732041C2semidirect
19. #11731835C2semidirect
20. #11731220C2semidirect
21. #11731217C2semidirect
22. C4×#6458C2semidirect
23. #11731196C2semidirect
24. #11731100C2semidirect
25. C4×#6456C2semidirect
26. #11731024C2semidirect
27. #11731022C2semidirect
28. #11731005C2semidirect
29. C4×#6448C2semidirect
30. #11730859C2semidirect
31. #11730840C2semidirect
35. #90395C4semidirect
61. C2×C4×D28C22semidirect
62. C2×#6435C22semidirect
64. C2×C42×D7C22semidirect
65. C2×C4×Dic14C22semidirect
66. C7×#389C22semidirect
70. C7×#387C22semidirect
71. C7×#387C22semidirect
72. C7×#387C22semidirect
74. C4×C7×C4⋊C4C22semidirect
75. C4×C7×C4⋊C4C22semidirect
76. C4×C7×C4⋊C4C22semidirect
79. C7×#376C22semidirect
84. #89762C22semidirect
88. #89761C22semidirect
89. #89761C22semidirect
91. #89760C22semidirect
92. #89759C22semidirect
93. #89757C22semidirect
94. #89753C22semidirect
95. #89753C22semidirect
96. #89753C22semidirect
97. #89750C22semidirect
98. C4⋊C4×Dic7C22semidirect
99. C4⋊C4×Dic7C22semidirect
100. C4⋊C4×Dic7C22semidirect
101. C4⋊C4×Dic7C22semidirect
102. C4⋊C4×Dic7C22semidirect
103. #89744C22semidirect
120. #89712C22semidirect
129. C4×(C2×D7)⋊C4C22semidirect
130. C4×(C2×D7)⋊C4C22semidirect
131. C4×(C2×D7)⋊C4C22semidirect
132. C4×(C2×D7)⋊C4C22semidirect
133. C4×(C2×D7)⋊C4C22semidirect
134. C4×C4⋊Dic7C22semidirect
135. #89705C22semidirect
136. #89705C22semidirect
137. #89704C22semidirect
138. C42×Dic7C22semidirect
139. #89701C22semidirect
142. #89442C22semidirect
143. #89442C22semidirect
144. #89442C22semidirect
147. #89441C22semidirect
148. #89441C22semidirect
149. #89441C22semidirect
160. #89438C22semidirect
161. #89438C22semidirect
162. #89438C22semidirect
163. #89438C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89436C22semidirect
177. D7×#95C22semidirect
178. #89427C22semidirect
179. #89425C22semidirect
180. #89425C22semidirect
181. #89423C22semidirect
182. #89422C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
214. C7×#126C2×C4semidirect
307. #6461C2×C4semidirect
308. #6459C2×C4semidirect
309. #6458C2×C4semidirect
310. #6458C2×C4semidirect
311. #6457C2×C4semidirect
315. #6456C2×C4semidirect
317. #6448C2×C4semidirect
318. #6447C2×C4semidirect
319. #6446C2×C4semidirect
320. #6445C2×C4semidirect
321. #6445C2×C4semidirect
326. D7×C22⋊C4C2×C4semidirect
327. #6438C2×C4semidirect
332. C4×D28C2×C4semidirect
380. #2373D7semidirect
653. #389C2×D7semidirect
687. #387C2×D7semidirect
688. #387C2×D7semidirect
689. #387C2×D7semidirect
726. C4×C4⋊C4C2×D7semidirect
727. C4×C4⋊C4C2×D7semidirect
728. C4×C4⋊C4C2×D7semidirect
759. #376C2×D7semidirect
935. #126C4×D7semidirect
1523. C7#34283semidirect

Maximal subgroups

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

subgroupindex
C2×#903952
C7×#23732
#117405202
#117336512
#117334202
#117332812
D7×#3882
#117329252
#117329172
#117328982
#117327542
#117324202
#117324102
#117323972
#117323902
#117323872
#117320412
#117318352
#117312202
#117312172
C4×#64582
#117311962
#117311002
C4×#64562
#117310242
#117310222
#117310052
C4×#64482
#117308592
#117308402
#342837