Finite Group Databasebeta

← #13518257

Subgroups — #13518257

Order 1792.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90369C211yesmaximal, characteristic
2C7×#2379C211yesmaximal, characteristic, complemented
3#11740400C211yesmaximal, characteristic, complemented
4#11734062C211yesmaximal, characteristic, complemented
5#11733936C211yesmaximal, characteristic, complemented
6#11733933C211yesmaximal, characteristic, complemented
7#11733925C211yesmaximal, characteristic, complemented
8#11733285C211yesmaximal, characteristic, complemented
9#11733278C211yesmaximal, characteristic, complemented
10#11733275C211yesmaximal, characteristic, complemented
11#11732935C211yesmaximal, characteristic, complemented
12#11732933C211yesmaximal, characteristic, complemented
13#11732915C211yesmaximal, characteristic, complemented
14#11732900C211yesmaximal, characteristic, complemented
15#11732895C211yesmaximal, characteristic, complemented
16#11732321C211yesmaximal, characteristic, complemented
17#11732320C211yesmaximal, characteristic, complemented
18#11732123C211yesmaximal, characteristic, complemented
19#11732122C211yesmaximal, characteristic, complemented
20#11732041C211yesmaximal, characteristic, complemented
21#11732040C211yesmaximal, characteristic, complemented
22#11732038C211yesmaximal, characteristic, complemented
23#11731842C211yesmaximal, characteristic, complemented
24#11731840C211yesmaximal, characteristic, complemented
25#11731834C211yesmaximal, characteristic, complemented
26#11731830C211yesmaximal, characteristic, complemented
27#11731828C211yesmaximal, characteristic, complemented
28#11731674C211yesmaximal, characteristic, complemented
29#11731605C211yesmaximal, characteristic, complemented
30#11731600C211yesmaximal, characteristic, complemented
31#11731600C211yesmaximal, characteristic, complemented
32C2×C7×#124C2211yescharacteristic
33C2×#6510C2211yescharacteristic
34C2×#6509C2211yescharacteristic
35C2×Q8×Dic7C2211yescharacteristic, complemented
36C2×#6502C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×D4×Dic7C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic, complemented
42C22×(C2×D7)⋊C4C2211yescharacteristic
43#90369C4116yescomplemented
44C2×#6456C2211yescharacteristic
45C2×#6455C2211yescharacteristic
46C2×#6455C2211yescharacteristic
47C2×D7×C4⋊C4C2211yescharacteristic, complemented
48C2×#6449C2211yescharacteristic
49C2×#6447C2211yescharacteristic
50C2×#6447C2211yescharacteristic
51C2×#6446C2211yescharacteristic
52C2×#6445C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×#6442C2211yescharacteristic
57C2×#6440C2211yescharacteristic, complemented
58C2×#6439C2211yescharacteristic
59C2×C4×D28C2211yescharacteristic
60C7×#391C2211yescharacteristic, complemented
61C7×#391C2211yescharacteristic, complemented
62C7×#388C2211yescharacteristic
63C7×#388C2211yescharacteristic
64C7×#388C2211yescharacteristic, complemented
65C7×#388C2211yescharacteristic, complemented
66C7×#386C2211yescharacteristic
67C7×#386C2211yescharacteristic
68C7×#385C2211yescharacteristic
69C7×#385C2211yescharacteristic
70C7×#385C2211yescharacteristic, complemented
71C7×#385C2211yescharacteristic, complemented
72C7×#382C2211yescharacteristic, complemented
73C7×#382C2211yescharacteristic, complemented
74#90002C2211yescharacteristic, complemented
75#89993C2211yescharacteristic
76#89985C2211yescharacteristic
77#89982C2211yescharacteristic
78C4×C22⋊Dic7C2211yescharacteristic
79C2×C7⋊#95C2211yescharacteristic, complemented
80#89762C2211yescharacteristic
81#89762C2211yescharacteristic
82#89762C2211yescharacteristic
83#89762C2211yescharacteristic
84#89761C2211yescharacteristic
85#89761C2211yescharacteristic
86#89761C2211yescharacteristic, complemented
87#89760C2211yescharacteristic
88#89760C2211yescharacteristic
89#89759C2211yescharacteristic
90#89759C2211yescharacteristic, complemented
91#89750C2211yescharacteristic, complemented
92#89750C2211yescharacteristic, complemented
93#89749C2211yescharacteristic, complemented
94C4⋊C4×Dic7C2211yescharacteristic, complemented
95C4⋊C4×Dic7C2211yescharacteristic, complemented
96#89745C2211yescharacteristic, complemented
97#89744C2211yescharacteristic, complemented
98#89744C2211yescharacteristic, complemented
99#89744C2211yescharacteristic, complemented
100#89730C2211yescharacteristic
101#89730C2211yescharacteristic
102#89730C2211yescharacteristic
103#89730C2211yescharacteristic, complemented
104#89729C2211yescharacteristic
105#89729C2211yescharacteristic
106#89729C2211yescharacteristic
107#89729C2211yescharacteristic
108#89729C2211yescharacteristic, complemented
109#89728C2211yescharacteristic
110#89728C2211yescharacteristic
111#89728C2211yescharacteristic, complemented
112#89727C2211yescharacteristic
113#89727C2211yescharacteristic
114#89723C2211yescharacteristic
115#89723C2211yescharacteristic
116#89723C2211yescharacteristic, complemented
117#89723C2211yescharacteristic, complemented
118#89722C2211yescharacteristic
119#89722C2211yescharacteristic, complemented
120#89717C2211yescharacteristic
121#89716C2211yescharacteristic
122#89716C2211yescharacteristic
123#89716C2211yescharacteristic
124C22⋊C4×Dic7C2211yescharacteristic
125C22⋊C4×Dic7C2211yescharacteristic
126C22⋊C4×Dic7C2211yescharacteristic
127C22⋊C4×Dic7C2211yescharacteristic, complemented
128C22⋊C4×Dic7C2211yescharacteristic, complemented
129C22⋊C4×Dic7C2211yescharacteristic, complemented
130#89712C2211yescharacteristic
131#89712C2211yescharacteristic, complemented
132#89711C2211yescharacteristic
133C4×(C2×D7)⋊C4C2211yescharacteristic
134C4×(C2×D7)⋊C4C2211yescharacteristic
135C4×C4⋊Dic7C2211yescharacteristic, complemented
136C4×C4⋊Dic7C2211yescharacteristic, complemented
137C4×C4⋊Dic7C2211yescharacteristic, complemented
138#89705C2211yescharacteristic, complemented
139C42×Dic7C2211yescharacteristic, complemented
140#89442C2211yescharacteristic
141#89442C2211yescharacteristic
142#89442C2211yescharacteristic
143#89442C2211yescharacteristic
144#89442C2211yescharacteristic
145#89442C2211yescharacteristic
146#89442C2211yescharacteristic, complemented
147#89442C2211yescharacteristic, complemented
148#89442C2211yescharacteristic, complemented
149#89441C2211yescharacteristic
150#89441C2211yescharacteristic
151#89441C2211yescharacteristic
152#89441C2211yescharacteristic
153#89441C2211yescharacteristic
154#89440C2211yescharacteristic
155#89440C2211yescharacteristic
156#89439C2211yescharacteristic
157#89438C2211yescharacteristic
158#89438C2211yescharacteristic
159#89438C2211yescharacteristic
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic, complemented
162#89438C2211yescharacteristic, complemented
163#89438C2211yescharacteristic, complemented
164#89438C2211yescharacteristic, complemented
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89436C2211yescharacteristic
170#89436C2211yescharacteristic
171#89436C2211yescharacteristic, complemented
172#89427C2211yescharacteristic, complemented
173#89427C2211yescharacteristic, complemented
174#89427C2211yescharacteristic, complemented
175#89426C2211yescharacteristic, complemented
176#89426C2211yescharacteristic, complemented
177#89426C2211yescharacteristic, complemented
178#89425C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89423C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#34454—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C7×#124C2×C418yescomplemented
211C2×C7×C4⋊C4C2311yescharacteristic
212C2×C7×C4⋊C4C2311yescharacteristic
213C2×C7×C4⋊C4C2311yescharacteristic
214C2×C7×C4⋊C4C2311yescharacteristic
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C22⋊C4C2311yescharacteristic
218C2×C7×C22⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C42×C7C2311yescharacteristic
228C2×C42×C7C2311yescharacteristic
229C2×C42×C7C2311yescharacteristic
230C2×C22⋊Dic7C2311yescharacteristic
231C2×C22⋊Dic7C2311yescharacteristic
232C2×C22⋊Dic7C2311yescharacteristic
233C2×C22⋊Dic7C2311yescharacteristic
234C2×C22⋊Dic7C2311yescharacteristic
235C2×C22⋊Dic7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238#6510C2×C418yescomplemented
239#6509C2×C418yescomplemented
240Q8×Dic7—42no—
241#6502C2×C418yescomplemented
242#6500C2×C418yescomplemented
243D4×Dic7—42no—
244C4×C22⋊D7—42no—
245C4×C22⋊D7—42no—
246C4×C22⋊D7—42no—
247C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
276C2×C4⋊Dic7C2311yescharacteristic
277C2×C4⋊Dic7C2311yescharacteristic
278C2×C4⋊Dic7C2311yescharacteristic
279C2×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
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
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315#6456—42no—
316#6455—42no—
317#6455—42no—
318D7×C4⋊C4—42no—
319#6449C2×C418yescomplemented
320#6447C2×C418yescomplemented
321#6447C2×C418yescomplemented
322#6446C2×C418yescomplemented
323#6445C2×C418yescomplemented
324(C22⋊D7)⋊C4C2×C418yescomplemented
325D7×C22⋊C4—42no—
326D7×C22⋊C4C2×C418yescomplemented
327#6442C2×C418yescomplemented
328#6440—42no—
329#6439C2×C418yescomplemented
330C4×D28C2×C418yescomplemented
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
370C7⋊#95C2311yescharacteristic
371C2×#538—71no—
372#2379D711yescharacteristic, complemented
373#2378—71no—
374#2377—71no—
375#2375—71no—
376#2374—71no—
377#2367—71no—
378#2364—71no—
379#2363—71no—
380#2362—71no—
381#2361—71no—
382#2359—71no—
383#2358—71no—
384#2357—71no—
385#2352—71no—
386#2342—71no—
387#2342—71no—
388#2337—71no—
389#2335—71no—
390#2334—71no—
391#2334—71no—
392#2334—71no—
393#2333—71no—
394#2324—71no—
395#2322—71no—
396#2321—71no—
397#2321—71no—
398#2318—71no—
399C4×#126—71no—
400C4×#124—71no—
401#2293—71no—
402C24×C7C2411yescharacteristic
403C24×C7C2411yescharacteristic
404C23×D7—41no—
405C23×D7—41no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7C22×C414yes—
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×Q8—41no—
415C2×C7×Q8—41no—
416C2×C7×Q8C22×C414yes—
417C2×C7×D4—41no—
418C2×C7×D4—41no—
419C2×C7×D4C22×C414yes—
420C22×C4×C7—41no—
421C22×C4×C7—41no—
422C22×C4×C7—41no—
423C22×C4×C7—41no—
424C22×C4×C7—41no—
425C22×C4×C7—41no—
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
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C2×C22⋊D7—41no—
440C2×C22⋊D7—41no—
441C2×C22⋊D7—41no—
442C2×C22⋊D7—41no—
443C2×C22⋊D7—41no—
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7C22×C414yes—
448C2×C22⋊D7C22×C414yes—
449C2×C22⋊D7C22×C414yes—
450C2×C22⋊D7C22×C414yes—
451C22×Dic7—22no—
452C22×Dic7—41no—
453C22×Dic7—41no—
454C22×Dic7—41no—
455C22×Dic7—41no—
456C22×Dic7—41no—
457C22×Dic7—41no—
458C22×Dic7—41no—
459C22×Dic7C22×C414yes—
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C2×D28—41no—
474C2×D28—41no—
475C2×D28—41no—
476C2×D28—41no—
477C2×D28C22×C414yes—
478C2×D28C22×C414yes—
479C2×C4×D7—22no—
480C2×C4×D7—22no—
481C2×C4×D7—41no—
482C2×C4×D7—41no—
483C2×C4×D7—41no—
484C2×C4×D7—41no—
485C2×C4×D7—41no—
486C2×C4×D7—41no—
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×D7C22×C414yes—
498C2×C4×D7C22×C414yes—
499C2×C4×D7C22×C414yes—
500C7×C4⋊C4—41no—
501C7×C4⋊C4—41no—
502C7×C4⋊C4—41no—
503C7×C4⋊C4—41no—
504C7×C4⋊C4—41no—
505C7×C4⋊C4—41no—
506C7×C22⋊C4—41no—
507C7×C22⋊C4—41no—
508C7×C22⋊C4—41no—
509C7×C22⋊C4—41no—
510C7×C22⋊C4—41no—
511C7×C22⋊C4—41no—
512C7×C22⋊C4C22×C414yes—
513C7×C22⋊C4C22×C414yes—
514C7×C22⋊C4C22×C414yes—
515C7×C22⋊C4C22×C414yes—
516C42×C7—41no—
517C42×C7—41no—
518C42×C7C22×C414yes—
519C22⋊Dic7—22no—
520C22⋊Dic7—22no—
521C22⋊Dic7—22no—
522C22⋊Dic7—41no—
523C22⋊Dic7—41no—
524C22⋊Dic7—41no—
525C22⋊Dic7C22×C414yes—
526C22⋊Dic7C22×C414yes—
527(C2×D7)⋊C4—22no—
528(C2×D7)⋊C4—22no—
529(C2×D7)⋊C4—22no—
530(C2×D7)⋊C4—22no—
531(C2×D7)⋊C4—41no—
532(C2×D7)⋊C4—41no—
533(C2×D7)⋊C4—41no—
534(C2×D7)⋊C4—41no—
535(C2×D7)⋊C4—41no—
536(C2×D7)⋊C4—41no—
537(C2×D7)⋊C4—41no—
538(C2×D7)⋊C4—41no—
539(C2×D7)⋊C4—41no—
540(C2×D7)⋊C4—41no—
541(C2×D7)⋊C4—41no—
542(C2×D7)⋊C4—41no—
543(C2×D7)⋊C4—41no—
544(C2×D7)⋊C4—41no—
545(C2×D7)⋊C4—41no—
546(C2×D7)⋊C4—41no—
547(C2×D7)⋊C4C22×C414yes—
548(C2×D7)⋊C4C22×C414yes—
549(C2×D7)⋊C4C22×C414yes—
550(C2×D7)⋊C4C22×C414yes—
551(C2×D7)⋊C4C22×C414yes—
552(C2×D7)⋊C4C22×C414yes—
553(C2×D7)⋊C4C22×C414yes—
554(C2×D7)⋊C4C22×C414yes—
555C4⋊Dic7—22no—
556C4⋊Dic7—22no—
557C4⋊Dic7—22no—
558C4⋊Dic7—41no—
559C4⋊Dic7—41no—
560C4⋊Dic7—41no—
561C4⋊Dic7C22×C414yes—
562C4⋊Dic7C22×C414yes—
563Dic7⋊C4—22no—
564Dic7⋊C4—22no—
565Dic7⋊C4—41no—
566Dic7⋊C4—41no—
567Dic7⋊C4—41no—
568Dic7⋊C4—41no—
569Dic7⋊C4—41no—
570Dic7⋊C4—41no—
571Dic7⋊C4C22×C414yes—
572Dic7⋊C4C22×C414yes—
573Dic7⋊C4C22×C414yes—
574Dic7⋊C4C22×C414yes—
575C4×Dic7—22no—
576C4×Dic7—22no—
577C4×Dic7—22no—
578C4×Dic7—41no—
579C4×Dic7—41no—
580C4×Dic7—41no—
581C4×Dic7—41no—
582C4×Dic7—41no—
583C4×Dic7—41no—
584C4×Dic7—41no—
585C4×Dic7—41no—
586C4×Dic7—41no—
587C4×Dic7—41no—
588C4×Dic7—41no—
589C4×Dic7—41no—
590C4×Dic7—41no—
591C4×Dic7—41no—
592C4×Dic7—41no—
593C4×Dic7C22×C414yes—
594#538—716no—
595C2×#126—71no—
596C2×#126—71no—
597C2×#124—71no—
598C2×#124C2×D711yescharacteristic
599C2×#123—71no—
600C2×#123—71no—
601C2×C22⋊Q8—71no—
602C2×#121—71no—
603C2×#121—71no—
604C2×#121—71no—
605C2×#120—71no—
606C2×#120—71no—
607C2×C4×Q8—71no—
608C2×C4×D4—71no—
609C2×C4×D4—71no—
610C2×C4×D4—71no—
611C2×C4×D4—71no—
612C2×C4×D4—71no—
613C2×C4×D4—71no—
614C2×C4×D4—71no—
615C2×#117—71no—
616C2×#117—71no—
617C2×#117—71no—
618C22×C4⋊C4—71no—
619C22×C22⋊C4—71no—
620C22×C22⋊C4—71no—
621C22×C22⋊C4—71no—
622#391—71no—
623#391C2×D711yescharacteristic, complemented
624#391C2×D711yescharacteristic, complemented
625#390—71no—
626#390—71no—
627#390—71no—
628#390—71no—
629#390—71no—
630#390—71no—
631#390—71no—
632#390—71no—
633#390—71no—
634#389—71no—
635#389—71no—
636#389—71no—
637#389—71no—
638#389—71no—
639#389—71no—
640#388—71no—
641#388—71no—
642#388—71no—
643#388—71no—
644#388—71no—
645#388—71no—
646#388—71no—
647#388—71no—
648#388—71no—
649#388—71no—
650#388—71no—
651#388—71no—
652#388—71no—
653#388—71no—
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#388C2×D711yescharacteristic
669#388C2×D711yescharacteristic
670#388C2×D711yescharacteristic, complemented
671#388C2×D711yescharacteristic, complemented
672#387—71no—
673#387—71no—
674#387—71no—
675#387—71no—
676#387—71no—
677#387—71no—
678#387—71no—
679#387—71no—
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#386—71no—
685#386—71no—
686#386—71no—
687#386—71no—
688#386—71no—
689#386—71no—
690#386—71no—
691#386—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386C2×D711yescharacteristic
697#386C2×D711yescharacteristic
698#385—71no—
699#385—71no—
700#385—71no—
701#385—71no—
702#385—71no—
703#385—71no—
704#385—71no—
705#385—71no—
706#385C2×D711yescharacteristic
707#385C2×D711yescharacteristic
708#385C2×D711yescharacteristic, complemented
709#385C2×D711yescharacteristic, complemented
710#383—71no—
711#382—71no—
712#382C2×D711yescharacteristic, complemented
713#382C2×D711yescharacteristic, complemented
714#381—71no—
715#381—71no—
716#381—71no—
717#380—71no—
718#380—71no—
719#380—71no—
720#379—71no—
721#379—71no—
722C4×C4⋊C4—71no—
723C4×C4⋊C4—71no—
724C4×C4⋊C4—71no—
725C4×C4⋊C4—71no—
726C4×C4⋊C4—71no—
727C4×C4⋊C4—71no—
728C4×C4⋊C4—71no—
729C4×C4⋊C4—71no—
730C4×C4⋊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—
748C2×#95—71no—
749C43—71no—
750C23×C7—21no—
751C23×C7—21no—
752C23×C7—21no—
753C23×C7—21no—
754C23×C7—21no—
755C23×C7—21no—
756C23×C7—21no—
757C23×C7—21no—
758C23×C7—21no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7C23×C412yes—
763C23×C7C23×C412yes—
764C23×C7C2511yescharacteristic
765C22×D7—21no—
766C22×D7—21no—
767C22×D7—21no—
768C22×D7—21no—
769C22×D7—21no—
770C22×D7—21no—
771C22×D7—21no—
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—44no—
784C22×D7—44no—
785C22×D7—44no—
786C22×D7—82no—
787C22×D7—82no—
788C22×D7—82no—
789C22×D7—82no—
790C22×D7C23×C412yes—
791C22×D7C23×C412yes—
792C22×D7C23×C412yes—
793C7×Q8—44no—
794C7×D4—44no—
795C2×C4×C7—21no—
796C2×C4×C7—21no—
797C2×C4×C7—21no—
798C2×C4×C7—21no—
799C2×C4×C7—21no—
800C2×C4×C7—21no—
801C2×C4×C7—21no—
802C2×C4×C7—21no—
803C2×C4×C7—21no—
804C2×C4×C7—21no—
805C2×C4×C7—21no—
806C2×C4×C7—21no—
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—82no—
830C2×C4×C7—82no—
831C2×C4×C7C23×C412yes—
832C2×C4×C7C23×C412yes—
833C2×C4×C7C23×C412yes—
834C2×C4×C7C23×C412yes—
835C2×C4×C7C23×C412yes—
836C22⋊D7—44no—
837C22⋊D7—44no—
838C22⋊D7—44no—
839C22⋊D7—44no—
840C2×Dic7—21no—
841C2×Dic7—21no—
842C2×Dic7—21no—
843C2×Dic7—21no—
844C2×Dic7—21no—
845C2×Dic7—21no—
846C2×Dic7—21no—
847C2×Dic7—21no—
848C2×Dic7—21no—
849C2×Dic7—21no—
850C2×Dic7—21no—
851C2×Dic7—21no—
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—44no—
873C2×Dic7—82no—
874C2×Dic7—82no—
875C2×Dic7C23×C412yes—
876C2×Dic7C23×C412yes—
877C2×Dic7C23×C412yes—
878C2×Dic7C23×C412yes—
879C2×Dic7C23×C412yes—
880C2×Dic7H(5,𝔽2)12yes—
881C2×Dic7H(5,𝔽2)12yes—
882D28—44no—
883D28—44no—
884C4×D7—44no—
885C4×D7—44no—
886C4×D7—44no—
887C4×D7—82no—
888C4×D7—82no—
889C4×D7—82no—
890C4×D7—82no—
891C25—71no—
892C22×Q8C22×D711yescharacteristic
893C22×D4—71no—
894C22×D4—71no—
895C22×D4—71no—
896C22×D4—71no—
897C22×D4—71no—
898C22×D4—71no—
899C22×D4C22×D711yescharacteristic
900C23×C4—71no—
901C23×C4—71no—
902C23×C4—71no—
903C23×C4—71no—
904C23×C4—71no—
905C23×C4—71no—
906C23×C4—71no—
907C23×C4—71no—
908C23×C4—71no—
909C23×C4—71no—
910C23×C4C22×D711yescharacteristic
911C23×C4C22×D711yescharacteristic
912#126—78no—
913#126—78no—
914#124—78no—
915#124C4×D718yescomplemented
916#123—78no—
917#123—78no—
918C22⋊Q8—78no—
919#121—78no—
920#121—78no—
921#121—78no—
922#120—78no—
923#120—78no—
924C4×Q8—282no—
925C4×D4—78no—
926C4×D4—78no—
927C4×D4—282no—
928C4×D4—282no—
929C4×D4—282no—
930C4×D4—282no—
931C4×D4—282no—
932#117—282no—
933#117—282no—
934#117—282no—
935C2×C4⋊C4—71no—
936C2×C4⋊C4—71no—
937C2×C4⋊C4—71no—
938C2×C4⋊C4—71no—
939C2×C4⋊C4—71no—
940C2×C4⋊C4—71no—
941C2×C4⋊C4—71no—
942C2×C4⋊C4—71no—
943C2×C4⋊C4—71no—
944C2×C4⋊C4—71no—
945C2×C4⋊C4—71no—
946C2×C4⋊C4—71no—
947C2×C4⋊C4—71no—
948C2×C4⋊C4—71no—
949C2×C4⋊C4—71no—
950C2×C4⋊C4—71no—
951C2×C4⋊C4—71no—
952C2×C4⋊C4—71no—
953C2×C4⋊C4—71no—
954C2×C4⋊C4—71no—
955C2×C4⋊C4—282no—
956C2×C4⋊C4C22×D711yescharacteristic
957C2×C4⋊C4C22×D711yescharacteristic
958C2×C4⋊C4C22×D711yescharacteristic
959C2×C4⋊C4C22×D711yescharacteristic
960C2×C4⋊C4C22×D711yescharacteristic
961C2×C4⋊C4C22×D711yescharacteristic
962C2×C22⋊C4—71no—
963C2×C22⋊C4—71no—
964C2×C22⋊C4—71no—
965C2×C22⋊C4—71no—
966C2×C22⋊C4—71no—
967C2×C22⋊C4—71no—
968C2×C22⋊C4—71no—
969C2×C22⋊C4—71no—
970C2×C22⋊C4—71no—
971C2×C22⋊C4—71no—
972C2×C22⋊C4—78no—
973C2×C22⋊C4—71no—
974C2×C22⋊C4—71no—
975C2×C22⋊C4—71no—
976C2×C22⋊C4—71no—
977C2×C22⋊C4—71no—
978C2×C22⋊C4—71no—
979C2×C22⋊C4—71no—
980C2×C22⋊C4—71no—
981C2×C22⋊C4—71no—
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—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—282no—
1000C2×C22⋊C4—282no—
1001C2×C22⋊C4C22×D711yescharacteristic
1002C2×C22⋊C4C22×D711yescharacteristic
1003C2×C22⋊C4C22×D711yescharacteristic
1004C2×C22⋊C4C22×D711yescharacteristic
1005C2×C22⋊C4C22×D711yescharacteristic
1006C2×C22⋊C4C22×D711yescharacteristic
1007C2×C22⋊C4C22×D711yescharacteristic
1008C2×C22⋊C4C22×D711yescharacteristic
1009C2×C22⋊C4C22×D711yescharacteristic
1010C2×C22⋊C4C22×D711yescharacteristic
1011C2×C42—71no—
1012C2×C42—71no—
1013C2×C42—71no—
1014C2×C42—71no—
1015C2×C42—71no—
1016C2×C42—71no—
1017C2×C42—71no—
1018C2×C42—71no—
1019C2×C42—71no—
1020C2×C42—71no—
1021C2×C42—71no—
1022C2×C42—71no—
1023C2×C42—71no—
1024C2×C42—71no—
1025C2×C42—71no—
1026C2×C42—71no—
1027C2×C42—71no—
1028C2×C42—71no—
1029C2×C42—71no—
1030C2×C42C22×D711yescharacteristic
1031C2×C42C22×D711yescharacteristic
1032C2×C42C22×D711yescharacteristic
1033#95—71no—
1034#95—71no—
1035#95—71no—
1036#95—71no—
1037#95—71no—
1038#95—71no—
1039#95—71no—
1040#95—71no—
1041#95—71no—
1042#95—71no—
1043#95—71no—
1044#95—71no—
1045#95—71no—
1046#95—71no—
1047#95—71no—
1048#95—71no—
1049#95—71no—
1050#95—71no—
1051#95—71no—
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95C22×D711yescharacteristic
1062#95C22×D711yescharacteristic
1063#95C22×D711yescharacteristic
1064#95C22×D711yescharacteristic
1065#95C22×D711yescharacteristic
1066#95C22×D711yescharacteristic
1067#95C22×D711yescharacteristic
1068#95C22×D711yescharacteristic
1069#95C22×D711yescharacteristic
1070#95C22×D711yescharacteristic
1071#95C22×D711yescharacteristic
1072#95C22×D711yescharacteristic
1073C22×C7—22no—
1074C22×C7—22no—
1075C22×C7—22no—
1076C22×C7—22no—
1077C22×C7—22no—
1078C22×C7—22no—
1079C22×C7—41no—
1080C22×C7—41no—
1081C22×C7—41no—
1082C22×C7—41no—
1083C22×C7—41no—
1084C22×C7—41no—
1085C22×C7—41no—
1086C22×C7—41no—
1087C22×C7C24×C411yescharacteristic
1088C22×C7C2×H(5,𝔽2)11yescharacteristic
1089C22×C7C2×H(5,𝔽2)11yescharacteristic
1090C22×C7#58511yescharacteristic
1091C22×C7#58511yescharacteristic
1092C22×C7#58511yescharacteristic
1093C22×C7#58511yescharacteristic
1094C2×D7—22no—
1095C2×D7—22no—
1096C2×D7—22no—
1097C2×D7—22no—
1098C2×D7—22no—
1099C2×D7—22no—
1100C2×D7—22no—
1101C2×D7—22no—
1102C2×D7—22no—
1103C2×D7—41no—
1104C2×D7—41no—
1105C2×D7—41no—
1106C2×D7—41no—
1107C2×D7—41no—
1108C2×D7—41no—
1109C2×D7—41no—
1110C2×D7—41no—
1111C2×D7—41no—
1112C2×D7—41no—
1113C2×D7—41no—
1114C2×D7—41no—
1115C2×D7—88no—
1116C4×C7—22no—
1117C4×C7—22no—
1118C4×C7—22no—
1119C4×C7—22no—
1120C4×C7—22no—
1121C4×C7—41no—
1122C4×C7—41no—
1123C4×C7—41no—
1124C4×C7—41no—
1125C4×C7—41no—
1126C4×C7—41no—
1127C4×C7—41no—
1128C4×C7—41no—
1129Dic7—22no—
1130Dic7—22no—
1131Dic7—22no—
1132Dic7—22no—
1133Dic7—22no—
1134Dic7—22no—
1135Dic7—22no—
1136Dic7—41no—
1137Dic7—41no—
1138Dic7—41no—
1139Dic7—41no—
1140Dic7—41no—
1141Dic7—41no—
1142C24—71no—
1143C24—71no—
1144C24—71no—
1145C24—74no—
1146C24—281no—
1147C24—281no—
1148C24—281no—
1149C24—281no—
1150C24—281no—
1151C24—281no—
1152C24C23×D711yescharacteristic
1153C24C23×D711yescharacteristic
1154C2×Q8—41no—
1155C2×Q8—41no—
1156C2×Q8C2×C4×D714yes—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—74no—
1160C2×D4—74no—
1161C2×D4—74no—
1162C2×D4—74no—
1163C2×D4—74no—
1164C2×D4—74no—
1165C2×D4—281no—
1166C2×D4—281no—
1167C2×D4—281no—
1168C2×D4—281no—
1169C2×D4—281no—
1170C2×D4—281no—
1171C2×D4—281no—
1172C2×D4—281no—
1173C2×D4—281no—
1174C2×D4—281no—
1175C2×D4—281no—
1176C2×D4—281no—
1177C2×D4C2×C4×D714yes—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—71no—
1185C22×C4—71no—
1186C22×C4—71no—
1187C22×C4—71no—
1188C22×C4—71no—
1189C22×C4—71no—
1190C22×C4—71no—
1191C22×C4—74no—
1192C22×C4—74no—
1193C22×C4—74no—
1194C22×C4—74no—
1195C22×C4—71no—
1196C22×C4—71no—
1197C22×C4—71no—
1198C22×C4—71no—
1199C22×C4—71no—
1200C22×C4—71no—
1201C22×C4—142no—
1202C22×C4—142no—
1203C22×C4—142no—
1204C22×C4—281no—
1205C22×C4—281no—
1206C22×C4—281no—
1207C22×C4—281no—
1208C22×C4—281no—
1209C22×C4—281no—
1210C22×C4—281no—
1211C22×C4—281no—
1212C22×C4—281no—
1213C22×C4—281no—
1214C22×C4—281no—
1215C22×C4—281no—
1216C22×C4—281no—
1217C22×C4—281no—
1218C22×C4—281no—
1219C22×C4—281no—
1220C22×C4—281no—
1221C22×C4—281no—
1222C22×C4—281no—
1223C22×C4—281no—
1224C22×C4—281no—
1225C22×C4—281no—
1226C22×C4—281no—
1227C22×C4C23×D711yescharacteristic
1228C22×C4C23×D711yescharacteristic
1229C22×C4C23×D711yescharacteristic
1230C22×C4C23×D711yescharacteristic
1231C22×C4C23×D711yescharacteristic
1232C22×C4C23×D711yescharacteristic
1233C22×C4C23×D711yescharacteristic
1234C22×C4C23×D711yescharacteristic
1235C22×C4C23×D711yescharacteristic
1236C22×C4C23×D711yescharacteristic
1237C22×C4C23×D711yescharacteristic
1238C22×C4C23×D711yescharacteristic
1239C22×C4C23×D711yescharacteristic
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—74no—
1247C4⋊C4—74no—
1248C4⋊C4—74no—
1249C4⋊C4—74no—
1250C4⋊C4—74no—
1251C4⋊C4—74no—
1252C4⋊C4—142no—
1253C4⋊C4—142no—
1254C4⋊C4—142no—
1255C4⋊C4—142no—
1256C4⋊C4—142no—
1257C4⋊C4—281no—
1258C4⋊C4—281no—
1259C4⋊C4—281no—
1260C4⋊C4—281no—
1261C4⋊C4—281no—
1262C4⋊C4—281no—
1263C4⋊C4—281no—
1264C4⋊C4—281no—
1265C4⋊C4—281no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—74no—
1273C22⋊C4—74no—
1274C22⋊C4—74no—
1275C22⋊C4—74no—
1276C22⋊C4—74no—
1277C22⋊C4—74no—
1278C22⋊C4—74no—
1279C22⋊C4—74no—
1280C22⋊C4—74no—
1281C22⋊C4—74no—
1282C22⋊C4—142no—
1283C22⋊C4—142no—
1284C22⋊C4—142no—
1285C22⋊C4—142no—
1286C22⋊C4—142no—
1287C22⋊C4—142no—
1288C22⋊C4—142no—
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⋊C4—281no—
1306C22⋊C4—281no—
1307C22⋊C4—281no—
1308C22⋊C4C2×C4×D714yes—
1309C22⋊C4C2×C4×D714yes—
1310C22⋊C4C2×C4×D714yes—
1311C22⋊C4C2×C4×D714yes—
1312C42—41no—
1313C42—41no—
1314C42—74no—
1315C42—142no—
1316C42—142no—
1317C42—142no—
1318C42—281no—
1319C42—281no—
1320C42—281no—
1321C42—281no—
1322C42—281no—
1323C42—281no—
1324C42—281no—
1325C42—281no—
1326C42—281no—
1327C42—281no—
1328C42—281no—
1329C42—281no—
1330C42—281no—
1331C42—281no—
1332C42—281no—
1333C42C2×C4×D714yes—
1334C2×C7—42no—
1335C2×C7—42no—
1336C2×C7#342811yescharacteristic
1337C2×C7C4×H(5,𝔽2)11yescharacteristic
1338C2×C7C4×H(5,𝔽2)11yescharacteristic
1339C2×C7#355811yescharacteristic
1340C2×C7#356011yescharacteristic
1341C2×C7#356211yescharacteristic
1342C2×C7#356611yescharacteristic
1343D7—42no—
1344D7—42no—
1345D7—42no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—72no—
1359C23—72no—
1360C23—72no—
1361C23—141no—
1362C23—141no—
1363C23—141no—
1364C23—141no—
1365C23—141no—
1366C23—141no—
1367C23—141no—
1368C23—141no—
1369C23—141no—
1370C23—141no—
1371C23—141no—
1372C23—141no—
1373C23—141no—
1374C23—141no—
1375C23—141no—
1376C23—141no—
1377C23—141no—
1378C23—141no—
1379C23—284no—
1380C23—284no—
1381C23—284no—
1382C23—562no—
1383C23—562no—
1384C23—562no—
1385C23—562no—
1386C23C22×C4×D712yes—
1387C23C22×C4×D712yes—
1388C23C24×D711yescharacteristic
1389Q8—44no—
1390D4—44no—
1391D4—284no—
1392D4—284no—
1393D4—284no—
1394D4—284no—
1395D4—284no—
1396D4—284no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—72no—
1432C2×C4—72no—
1433C2×C4—72no—
1434C2×C4—72no—
1435C2×C4—72no—
1436C2×C4—72no—
1437C2×C4—72no—
1438C2×C4—82no—
1439C2×C4—82no—
1440C2×C4—141no—
1441C2×C4—141no—
1442C2×C4—141no—
1443C2×C4—141no—
1444C2×C4—141no—
1445C2×C4—141no—
1446C2×C4—141no—
1447C2×C4—141no—
1448C2×C4—141no—
1449C2×C4—141no—
1450C2×C4—141no—
1451C2×C4—141no—
1452C2×C4—141no—
1453C2×C4—141no—
1454C2×C4—141no—
1455C2×C4—141no—
1456C2×C4—141no—
1457C2×C4—141no—
1458C2×C4—141no—
1459C2×C4—141no—
1460C2×C4—141no—
1461C2×C4—141no—
1462C2×C4—141no—
1463C2×C4—141no—
1464C2×C4—141no—
1465C2×C4—141no—
1466C2×C4—141no—
1467C2×C4—141no—
1468C2×C4—141no—
1469C2×C4—141no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—284no—
1473C2×C4—284no—
1474C2×C4—284no—
1475C2×C4—284no—
1476C2×C4—562no—
1477C2×C4—562no—
1478C2×C4—562no—
1479C2×C4—562no—
1480C2×C4—562no—
1481C2×C4—562no—
1482C2×C4C22×C4×D712yes—
1483C2×C4C22×C4×D712yes—
1484C2×C4C22×C4×D712yes—
1485C2×C4C22×C4×D712yes—
1486C2×C4C22×C4×D712yes—
1487C7#3445411yescharacteristic, complemented, Sylow
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—142no—
1503C22—142no—
1504C22—142no—
1505C22—142no—
1506C22—142no—
1507C22—142no—
1508C22—142no—
1509C22—142no—
1510C22—142no—
1511C22—281no—
1512C22—281no—
1513C22—281no—
1514C22—281no—
1515C22—281no—
1516C22—281no—
1517C22—281no—
1518C22—281no—
1519C22—281no—
1520C22—281no—
1521C22—281no—
1522C22—281no—
1523C22—568no—
1524C22C23×C4×D711yescharacteristic
1525C22D7×H(5,𝔽2)11yescharacteristic
1526C22D7×H(5,𝔽2)11yescharacteristic
1527C22#9061811yescharacteristic
1528C22#9061811yescharacteristic
1529C22#9062011yescharacteristic
1530C22#9062011yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—142no—
1545C4—142no—
1546C4—142no—
1547C4—142no—
1548C4—142no—
1549C4—142no—
1550C4—142no—
1551C4—281no—
1552C4—281no—
1553C4—281no—
1554C4—281no—
1555C4—281no—
1556C4—281no—
1557C2—42no—
1558C2—42no—
1559C2—282no—
1560C2—282no—
1561C2—282no—
1562C2#1174292511yescharacteristic
1563C2#1174295311yescharacteristic
1564C2#1174295411yescharacteristic
1565C2#1174416011yescharacteristic
1566C2#1174417011yescharacteristic
1567C2#1174417311yescharacteristic
1568C2#1174420311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2379C2
socle, cosocleC23×C7C25
prime radicalC2×#90369C2
hypercenter#2379D7
hypocenterC7#34454
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2379

Complements

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

NH ≅ G/Ntype
2. C7×#2379C2semidirect
3. #11740400C2semidirect
4. #11734062C2semidirect
5. #11733936C2semidirect
6. #11733933C2semidirect
7. #11733925C2semidirect
8. #11733285C2semidirect
9. #11733278C2semidirect
10. #11733275C2semidirect
11. #11732935C2semidirect
12. #11732933C2semidirect
13. #11732915C2semidirect
14. #11732900C2semidirect
15. #11732895C2semidirect
16. #11732321C2semidirect
17. #11732320C2semidirect
18. #11732123C2semidirect
19. #11732122C2semidirect
20. #11732041C2semidirect
21. #11732040C2semidirect
22. #11732038C2semidirect
23. #11731842C2semidirect
24. #11731840C2semidirect
25. #11731834C2semidirect
26. #11731830C2semidirect
27. #11731828C2semidirect
28. #11731674C2semidirect
29. #11731605C2semidirect
30. #11731600C2semidirect
31. #11731600C2semidirect
35. C2×Q8×Dic7C22semidirect
41. C2×C4×C22⋊D7C22semidirect
43. #90369C4semidirect
47. C2×D7×C4⋊C4C22semidirect
57. C2×#6440C22semidirect
60. C7×#391C22semidirect
61. C7×#391C22semidirect
64. C7×#388C22semidirect
65. C7×#388C22semidirect
70. C7×#385C22semidirect
71. C7×#385C22semidirect
72. C7×#382C22semidirect
73. C7×#382C22semidirect
74. #90002C22semidirect
79. C2×C7⋊#95C22semidirect
86. #89761C22semidirect
90. #89759C22semidirect
91. #89750C22semidirect
92. #89750C22semidirect
93. #89749C22semidirect
94. C4⋊C4×Dic7C22semidirect
95. C4⋊C4×Dic7C22semidirect
96. #89745C22semidirect
97. #89744C22semidirect
98. #89744C22semidirect
99. #89744C22semidirect
103. #89730C22semidirect
108. #89729C22semidirect
111. #89728C22semidirect
116. #89723C22semidirect
117. #89723C22semidirect
119. #89722C22semidirect
127. C22⋊C4×Dic7C22semidirect
128. C22⋊C4×Dic7C22semidirect
129. C22⋊C4×Dic7C22semidirect
131. #89712C22semidirect
135. C4×C4⋊Dic7C22semidirect
136. C4×C4⋊Dic7C22semidirect
137. C4×C4⋊Dic7C22semidirect
138. #89705C22semidirect
139. C42×Dic7C22semidirect
146. #89442C22semidirect
147. #89442C22semidirect
148. #89442C22semidirect
161. #89438C22semidirect
162. #89438C22semidirect
163. #89438C22semidirect
164. #89438C22semidirect
171. #89436C22semidirect
172. #89427C22semidirect
173. #89427C22semidirect
174. #89427C22semidirect
175. #89426C22semidirect
176. #89426C22semidirect
177. #89426C22semidirect
178. #89425C22semidirect
179. #89424C22semidirect
180. #89424C22semidirect
181. #89423C22semidirect
182. #89421C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89419C22semidirect
187. #89419C22semidirect
210. C7×#124C2×C4semidirect
238. #6510C2×C4semidirect
239. #6509C2×C4semidirect
241. #6502C2×C4semidirect
242. #6500C2×C4semidirect
319. #6449C2×C4semidirect
320. #6447C2×C4semidirect
321. #6447C2×C4semidirect
322. #6446C2×C4semidirect
323. #6445C2×C4semidirect
324. (C22⋊D7)⋊C4C2×C4semidirect
326. D7×C22⋊C4C2×C4semidirect
327. #6442C2×C4semidirect
329. #6439C2×C4semidirect
330. C4×D28C2×C4semidirect
372. #2379D7semidirect
623. #391C2×D7semidirect
624. #391C2×D7semidirect
670. #388C2×D7semidirect
671. #388C2×D7semidirect
708. #385C2×D7semidirect
709. #385C2×D7semidirect
712. #382C2×D7semidirect
713. #382C2×D7semidirect
915. #124C4×D7semidirect
1487. C7#34454semidirect

Maximal subgroups

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

subgroupindex
C2×#903692
C7×#23792
#117404002
#117340622
#117339362
#117339332
#117339252
#117332852
#117332782
#117332752
#117329352
#117329332
#117329152
#117329002
#117328952
#117323212
#117323202
#117321232
#117321222
#117320412
#117320402
#117320382
#117318422
#117318402
#117318342
#117318302
#117318282
#117316742
#117316052
#117316002
#344547