Finite Group Databasebeta

← #13517143

Subgroups — #13517143

Order 1792.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90365C211yesmaximal, characteristic
2C7×#2337C211yesmaximal, characteristic, complemented
3#11740399C211yesmaximal, characteristic, complemented
4#11734058C211yesmaximal, characteristic, complemented
5#11734058C211yesmaximal, characteristic, complemented
6#11733941C211yesmaximal, characteristic, complemented
7#11733940C211yesmaximal, characteristic, complemented
8#11733284C211yesmaximal, characteristic, complemented
9#11733281C211yesmaximal, characteristic, complemented
10#11733281C211yesmaximal, characteristic, complemented
11#11733275C211yesmaximal, characteristic, complemented
12#11733274C211yesmaximal, characteristic, complemented
13#11733272C211yesmaximal, characteristic, complemented
14#11733271C211yesmaximal, characteristic, complemented
15#11732935C211yesmaximal, characteristic, complemented
16#11732319C211yesmaximal, characteristic, complemented
17D7×#386C211yesmaximal, characteristic, complemented
18#11732112C211yesmaximal, characteristic, complemented
19#11732112C211yesmaximal, characteristic, complemented
20#11732041C211yesmaximal, characteristic, complemented
21#11732039C211yesmaximal, characteristic, complemented
22#11731846C211yesmaximal, characteristic, complemented
23#11731824C211yesmaximal, characteristic, complemented
24#11731743C211yesmaximal, characteristic, complemented
25#11731741C211yesmaximal, characteristic, complemented
26#11731211C211yesmaximal, characteristic, complemented
27#11731098C211yesmaximal, characteristic, complemented
28#11731024C211yesmaximal, characteristic, complemented
29#11731022C211yesmaximal, characteristic, complemented
30#11731015C211yesmaximal, characteristic, complemented
31C4×#6445C211yesmaximal, characteristic, complemented
32C22×#1161C2211yescharacteristic
33C22×D4×D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C2×C7×#124C2211yescharacteristic
36C2×#6510C2211yescharacteristic
37C2×#6503C2211yescharacteristic
38C2×C4×C22⋊D7C2211yescharacteristic, complemented
39C2×C4×C22⋊D7C2211yescharacteristic, complemented
40C22×(C2×D7)⋊C4C2211yescharacteristic
41#90365C4116yescomplemented
42C2×#6456C2211yescharacteristic
43C2×#6456C2211yescharacteristic
44C2×#6456C2211yescharacteristic, complemented
45C2×#6456C2211yescharacteristic, complemented
46C2×#6447C2211yescharacteristic
47C2×#6447C2211yescharacteristic
48C2×#6447C2211yescharacteristic
49C2×#6447C2211yescharacteristic
50C2×#6445C2211yescharacteristic
51C2×#6445C2211yescharacteristic
52C2×#6445C2211yescharacteristic
53C2×#6445C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
55C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
56C2×D7×C22⋊C4C2211yescharacteristic
57C2×D7×C22⋊C4C2211yescharacteristic
58C2×D7×C22⋊C4C2211yescharacteristic
59C2×D7×C22⋊C4C2211yescharacteristic
60C2×#6437C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic
62C2×C4×D28C2211yescharacteristic
63C2×C4×D28C2211yescharacteristic, complemented
64C2×C4×D28C2211yescharacteristic, complemented
65C2×#6435C2211yescharacteristic
66C7×#391C2211yescharacteristic, complemented
67C7×#391C2211yescharacteristic, complemented
68C7×#388C2211yescharacteristic, complemented
69C7×#388C2211yescharacteristic, complemented
70C7×#388C2211yescharacteristic, complemented
71C7×#388C2211yescharacteristic, complemented
72C7×#386C2211yescharacteristic
73C7×#386C2211yescharacteristic
74C7×#385C2211yescharacteristic, complemented
75C7×#385C2211yescharacteristic, complemented
76C7×#383C2211yescharacteristic, complemented
77C4×C7×C4⋊C4C2211yescharacteristic, complemented
78C4×C7×C22⋊C4C2211yescharacteristic, complemented
79C4×C7×C22⋊C4C2211yescharacteristic, complemented
80#90002C2211yescharacteristic, complemented
81#90002C2211yescharacteristic, complemented
82#89992C2211yescharacteristic
83#89992C2211yescharacteristic
84#89985C2211yescharacteristic
85#89985C2211yescharacteristic
86#89985C2211yescharacteristic, complemented
87#89985C2211yescharacteristic, complemented
88#89762C2211yescharacteristic, complemented
89#89762C2211yescharacteristic, complemented
90#89761C2211yescharacteristic
91#89761C2211yescharacteristic
92#89761C2211yescharacteristic, complemented
93#89761C2211yescharacteristic, complemented
94#89760C2211yescharacteristic, complemented
95#89760C2211yescharacteristic, complemented
96#89759C2211yescharacteristic, complemented
97#89759C2211yescharacteristic, complemented
98#89750C2211yescharacteristic, complemented
99#89750C2211yescharacteristic, complemented
100#89730C2211yescharacteristic
101#89730C2211yescharacteristic
102#89730C2211yescharacteristic, complemented
103#89730C2211yescharacteristic, complemented
104#89729C2211yescharacteristic, complemented
105#89729C2211yescharacteristic, complemented
106#89729C2211yescharacteristic, complemented
107#89729C2211yescharacteristic, complemented
108#89728C2211yescharacteristic
109#89728C2211yescharacteristic
110#89728C2211yescharacteristic
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic, complemented
113#89728C2211yescharacteristic, complemented
114#89728C2211yescharacteristic, complemented
115#89728C2211yescharacteristic, complemented
116#89727C2211yescharacteristic
117#89727C2211yescharacteristic
118#89723C2211yescharacteristic, complemented
119#89723C2211yescharacteristic, complemented
120#89723C2211yescharacteristic, complemented
121#89723C2211yescharacteristic, complemented
122#89722C2211yescharacteristic, complemented
123#89722C2211yescharacteristic, complemented
124C22⋊C4×Dic7C2211yescharacteristic, complemented
125C22⋊C4×Dic7C2211yescharacteristic, complemented
126#89712C2211yescharacteristic, complemented
127#89712C2211yescharacteristic, complemented
128#89711C2211yescharacteristic, complemented
129#89711C2211yescharacteristic, complemented
130C4×(C2×D7)⋊C4C2211yescharacteristic
131C4×(C2×D7)⋊C4C2211yescharacteristic
132C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
133C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
134C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
135C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
136#89709C2211yescharacteristic, complemented
137C4×C4⋊Dic7C2211yescharacteristic, complemented
138#89705C2211yescharacteristic, complemented
139#89705C2211yescharacteristic, complemented
140#89442C2211yescharacteristic, complemented
141#89442C2211yescharacteristic, complemented
142#89441C2211yescharacteristic, complemented
143#89441C2211yescharacteristic, complemented
144#89440C2211yescharacteristic
145#89440C2211yescharacteristic
146#89440C2211yescharacteristic, complemented
147#89440C2211yescharacteristic, complemented
148#89438C2211yescharacteristic
149#89438C2211yescharacteristic
150#89438C2211yescharacteristic, complemented
151#89438C2211yescharacteristic, complemented
152#89437C2211yescharacteristic
153#89437C2211yescharacteristic
154#89437C2211yescharacteristic
155#89437C2211yescharacteristic
156#89437C2211yescharacteristic
157#89437C2211yescharacteristic
158#89437C2211yescharacteristic
159#89437C2211yescharacteristic
160#89437C2211yescharacteristic, complemented
161#89437C2211yescharacteristic, complemented
162#89437C2211yescharacteristic, complemented
163#89437C2211yescharacteristic, complemented
164#89437C2211yescharacteristic, complemented
165#89437C2211yescharacteristic, complemented
166#89437C2211yescharacteristic, complemented
167#89437C2211yescharacteristic, complemented
168#89437C2211yescharacteristic, complemented
169#89437C2211yescharacteristic, complemented
170#89437C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89436C2211yescharacteristic
173#89436C2211yescharacteristic
174#89436C2211yescharacteristic, complemented
175#89436C2211yescharacteristic, complemented
176D7×#95C2211yescharacteristic
177D7×#95C2211yescharacteristic
178D7×#95C2211yescharacteristic, complemented
179D7×#95C2211yescharacteristic, complemented
180#89427C2211yescharacteristic, complemented
181#89427C2211yescharacteristic, complemented
182#89424C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89422C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#89420C2211yescharacteristic, complemented
188#34406—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C2×#1161—42no—
204C2×#1161—42no—
205C2×#1161C2×C418yescomplemented
206C2×D4×D7—42no—
207C2×D4×D7—42no—
208C2×D4×D7C2×C418yescomplemented
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×D28C2311yescharacteristic
216C22×D28C2311yescharacteristic
217C22×C4×D7—42no—
218C22×C4×D7—42no—
219C22×C4×D7—42no—
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×C4×D7C2311yescharacteristic
233C22×C4×D7C2311yescharacteristic
234C22×C4×D7C2311yescharacteristic
235C7×#124C2×C418yescomplemented
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C4⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C42×C7C2311yescharacteristic
251C2×C42×C7C2311yescharacteristic
252C2×C42×C7C2311yescharacteristic
253C2×C42×C7C2311yescharacteristic
254C2×C42×C7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261#6510C2×C418yescomplemented
262#6503C2×C418yescomplemented
263C4×C22⋊D7—42no—
264C4×C22⋊D7—42no—
265C2×(C2×D7)⋊C4—42no—
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319#6456—42no—
320#6456—42no—
321#6456—42no—
322#6456—42no—
323#6447C2×C418yescomplemented
324#6447C2×C418yescomplemented
325#6447C2×C418yescomplemented
326#6447C2×C418yescomplemented
327#6445C2×C418yescomplemented
328#6445C2×C418yescomplemented
329#6445C2×C418yescomplemented
330#6445C2×C418yescomplemented
331(C22⋊D7)⋊C4—42no—
332(C22⋊D7)⋊C4—42no—
333D7×C22⋊C4—42no—
334D7×C22⋊C4—42no—
335D7×C22⋊C4—42no—
336D7×C22⋊C4—42no—
337#6437C2×C418yescomplemented
338C4×D28—42no—
339C4×D28—42no—
340C4×D28—42no—
341C4×D28—42no—
342#6435C2×C418yescomplemented
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
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C2×#535—71no—
384#2380—71no—
385#2379—71no—
386#2377—71no—
387#2377—71no—
388#2372—71no—
389#2366—71no—
390#2364—71no—
391#2364—71no—
392#2358—71no—
393#2358—71no—
394#2358—71no—
395#2358—71no—
396#2343—71no—
397#2343—71no—
398#2339—71no—
399#2339—71no—
400#2337—71no—
401#2337D711yescharacteristic, complemented
402#2333—71no—
403#2333—71no—
404#2328—71no—
405#2328—71no—
406#2325—71no—
407#2325—71no—
408#2321—71no—
409#2321—71no—
410#2308—71no—
411C4×#120—71no—
412C4×#120—71no—
413C2×#386—71no—
414C24×C7C2411yescharacteristic
415C24×C7C2411yescharacteristic
416C23×D7—22no—
417C23×D7—22no—
418C23×D7—22no—
419C23×D7—22no—
420C23×D7—41no—
421C23×D7—41no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7—41no—
428C23×D7C22×C414yes—
429C23×D7C22×C414yes—
430C23×D7C2411yescharacteristic
431C23×D7C2411yescharacteristic
432C23×D7C2411yescharacteristic
433C23×D7C2411yescharacteristic
434C23×D7C2411yescharacteristic
435C2×C7×Q8—41no—
436C2×C7×Q8—41no—
437C2×C7×Q8C22×C414yescomplemented
438C2×C7×D4—41no—
439C2×C7×D4—41no—
440C2×C7×D4C22×C414yes—
441C22×C4×C7—22no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
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⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7C22×C414yes—
473C2×C22⋊D7C22×C414yes—
474C2×C22⋊D7C22×C414yes—
475C2×C22⋊D7C22×C414yes—
476C2×C22⋊D7C22×C414yescomplemented
477C2×C22⋊D7C22×C414yescomplemented
478C22×Dic7—22no—
479C22×Dic7—41no—
480C22×Dic7—41no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495#1161—416no—
496D4×D7—416no—
497C2×D28—22no—
498C2×D28—22no—
499C2×D28—22no—
500C2×D28—22no—
501C2×D28—41no—
502C2×D28—41no—
503C2×D28—41no—
504C2×D28—41no—
505C2×D28—41no—
506C2×D28—41no—
507C2×D28—41no—
508C2×D28—41no—
509C2×D28—41no—
510C2×D28—41no—
511C2×D28—41no—
512C2×D28—41no—
513C2×D28C22×C414yes—
514C2×D28C22×C414yes—
515C2×D28C22×C414yes—
516C2×D28C22×C414yes—
517C2×D28C22×C414yes—
518C2×D28C22×C414yescomplemented
519C2×D28C22×C414yescomplemented
520C2×D28C22×C414yescomplemented
521C2×C4×D7—22no—
522C2×C4×D7—22no—
523C2×C4×D7—22no—
524C2×C4×D7—22no—
525C2×C4×D7—22no—
526C2×C4×D7—22no—
527C2×C4×D7—22no—
528C2×C4×D7—22no—
529C2×C4×D7—22no—
530C2×C4×D7—22no—
531C2×C4×D7—22no—
532C2×C4×D7—22no—
533C2×C4×D7—41no—
534C2×C4×D7—41no—
535C2×C4×D7—41no—
536C2×C4×D7—41no—
537C2×C4×D7—41no—
538C2×C4×D7—41no—
539C2×C4×D7—41no—
540C2×C4×D7—41no—
541C2×C4×D7—41no—
542C2×C4×D7—41no—
543C2×C4×D7—416no—
544C2×C4×D7—41no—
545C2×C4×D7—41no—
546C2×C4×D7—41no—
547C2×C4×D7—41no—
548C2×C4×D7—41no—
549C2×C4×D7—41no—
550C2×C4×D7—41no—
551C2×C4×D7—41no—
552C2×C4×D7—41no—
553C2×C4×D7—41no—
554C2×C4×D7—41no—
555C2×C4×D7—41no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×C4×D7—41no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C2×C4×D7—41no—
562C2×C4×D7—41no—
563C2×C4×D7—41no—
564C2×C4×D7C22×C414yes—
565C2×C4×D7C22×C414yescomplemented
566C2×C4×D7C22×C414yescomplemented
567C7×C4⋊C4—22no—
568C7×C4⋊C4—41no—
569C7×C4⋊C4—41no—
570C7×C4⋊C4—41no—
571C7×C22⋊C4—22no—
572C7×C22⋊C4—41no—
573C7×C22⋊C4—41no—
574C7×C22⋊C4—41no—
575C7×C22⋊C4—41no—
576C7×C22⋊C4—41no—
577C7×C22⋊C4C22×C414yes—
578C7×C22⋊C4C22×C414yes—
579C7×C22⋊C4C22×C414yescomplemented
580C7×C22⋊C4C22×C414yescomplemented
581C42×C7—41no—
582C42×C7—41no—
583C42×C7—41no—
584C42×C7—41no—
585C42×C7C22×C414yescomplemented
586C22⋊Dic7—22no—
587C22⋊Dic7—41no—
588C22⋊Dic7—41no—
589C22⋊Dic7—41no—
590C22⋊Dic7—41no—
591C22⋊Dic7—41no—
592(C2×D7)⋊C4—22no—
593(C2×D7)⋊C4—22no—
594(C2×D7)⋊C4—22no—
595(C2×D7)⋊C4—22no—
596(C2×D7)⋊C4—22no—
597(C2×D7)⋊C4—22no—
598(C2×D7)⋊C4—22no—
599(C2×D7)⋊C4—22no—
600(C2×D7)⋊C4—41no—
601(C2×D7)⋊C4—41no—
602(C2×D7)⋊C4—41no—
603(C2×D7)⋊C4—41no—
604(C2×D7)⋊C4—41no—
605(C2×D7)⋊C4—41no—
606(C2×D7)⋊C4—41no—
607(C2×D7)⋊C4—41no—
608(C2×D7)⋊C4—41no—
609(C2×D7)⋊C4—41no—
610(C2×D7)⋊C4—41no—
611(C2×D7)⋊C4—41no—
612(C2×D7)⋊C4—41no—
613(C2×D7)⋊C4—41no—
614(C2×D7)⋊C4—41no—
615(C2×D7)⋊C4—41no—
616(C2×D7)⋊C4—41no—
617(C2×D7)⋊C4—41no—
618(C2×D7)⋊C4—41no—
619(C2×D7)⋊C4—41no—
620(C2×D7)⋊C4C22×C414yes—
621(C2×D7)⋊C4C22×C414yes—
622(C2×D7)⋊C4C22×C414yes—
623(C2×D7)⋊C4C22×C414yes—
624(C2×D7)⋊C4C22×C414yescomplemented
625(C2×D7)⋊C4C22×C414yescomplemented
626C4⋊Dic7—22no—
627C4⋊Dic7—41no—
628C4⋊Dic7—41no—
629C4⋊Dic7—41no—
630Dic7⋊C4—41no—
631Dic7⋊C4—41no—
632Dic7⋊C4—41no—
633Dic7⋊C4—41no—
634Dic7⋊C4C22×C414yescomplemented
635Dic7⋊C4C22×C414yescomplemented
636C4×Dic7—22no—
637C4×Dic7—22no—
638C4×Dic7—41no—
639C4×Dic7—41no—
640C4×Dic7—41no—
641C4×Dic7—41no—
642C4×Dic7—41no—
643C4×Dic7—41no—
644C4×Dic7C22×C414yescomplemented
645C22×#41—71no—
646C23×D4—71no—
647C24×C4—71no—
648#535—716no—
649C2×#127—71no—
650C2×#127—71no—
651C2×#124—71no—
652C2×#124C2×D711yescharacteristic
653C2×#121—71no—
654C2×#121—71no—
655C2×#121—71no—
656C2×#121—71no—
657C2×#120—71no—
658C2×#120—71no—
659C2×#120—71no—
660C2×#120—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C2×C4×D4—71no—
665C2×C4×D4—71no—
666C2×C4×D4—71no—
667C2×C4×D4—71no—
668C2×C4×D4—71no—
669C2×C4×D4—71no—
670C2×C4×D4—71no—
671C2×C4×D4—71no—
672C2×C4×D4—71no—
673C2×#117—71no—
674C22×C22⋊C4—71no—
675C22×C22⋊C4—71no—
676C22×C22⋊C4—71no—
677C22×C22⋊C4—71no—
678C22×C22⋊C4—71no—
679#391—71no—
680#391—71no—
681#391C2×D711yescharacteristic, complemented
682#391C2×D711yescharacteristic, complemented
683#390—71no—
684#390—71no—
685#390—71no—
686#390—71no—
687#390—71no—
688#390—71no—
689#390—71no—
690#390—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388—71no—
696#388—71no—
697#388—71no—
698#388—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388C2×D711yescharacteristic, complemented
704#388C2×D711yescharacteristic, complemented
705#388C2×D711yescharacteristic, complemented
706#388C2×D711yescharacteristic, complemented
707#387—71no—
708#387—71no—
709#387—71no—
710#387—71no—
711#387—71no—
712#387—71no—
713#387—71no—
714#387—71no—
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#386—71no—
723#386—71no—
724#386—71no—
725#386—71no—
726#386—71no—
727#386—71no—
728#386—71no—
729#386—71no—
730#386—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386C2×D711yescharacteristic
754#386C2×D711yescharacteristic
755#385—71no—
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#385—71no—
765#385C2×D711yescharacteristic, complemented
766#385C2×D711yescharacteristic, complemented
767#383—71no—
768#383C2×D711yescharacteristic, complemented
769#382—71no—
770#382—71no—
771#381—71no—
772#381—71no—
773#381—71no—
774#381—71no—
775#380—71no—
776#380—71no—
777#379—71no—
778#379—71no—
779C4×C4⋊C4—71no—
780C4×C4⋊C4C2×D711yescharacteristic, complemented
781C4×C22⋊C4—71no—
782C4×C22⋊C4—71no—
783C4×C22⋊C4—71no—
784C4×C22⋊C4—71no—
785C4×C22⋊C4—71no—
786C4×C22⋊C4—71no—
787C4×C22⋊C4—71no—
788C4×C22⋊C4—71no—
789C4×C22⋊C4—71no—
790C4×C22⋊C4—71no—
791C4×C22⋊C4—71no—
792C4×C22⋊C4—71no—
793C4×C22⋊C4C2×D711yescharacteristic, complemented
794C4×C22⋊C4C2×D711yescharacteristic, complemented
795#376—71no—
796#376—71no—
797C2×#95—71no—
798C2×#95—71no—
799C2×#95—71no—
800C2×#95—71no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7C23×C412yes—
814C23×C7C23×C412yes—
815C23×C7C2511yescharacteristic
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—21no—
831C22×D7—21no—
832C22×D7—21no—
833C22×D7—21no—
834C22×D7—21no—
835C22×D7—21no—
836C22×D7—21no—
837C22×D7—21no—
838C22×D7—21no—
839C22×D7—21no—
840C22×D7—21no—
841C22×D7—21no—
842C22×D7—21no—
843C22×D7—21no—
844C22×D7—28no—
845C22×D7—28no—
846C22×D7—44no—
847C22×D7—44no—
848C22×D7—44no—
849C22×D7—44no—
850C22×D7—44no—
851C22×D7—44no—
852C22×D7—44no—
853C22×D7—44no—
854C22×D7—82no—
855C22×D7—82no—
856C22×D7—82no—
857C22×D7—82no—
858C22×D7C23×C412yes—
859C22×D7C23×C412yes—
860C22×D7C23×C412yes—
861C22×D7C23×C412yes—
862C22×D7C23×C412yes—
863C22×D7H(5,𝔽2)12yes—
864C22×D7H(5,𝔽2)12yes—
865C7×Q8—44no—
866C7×D4—44no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—21no—
878C2×C4×C7—21no—
879C2×C4×C7—21no—
880C2×C4×C7—21no—
881C2×C4×C7—21no—
882C2×C4×C7—21no—
883C2×C4×C7—21no—
884C2×C4×C7—21no—
885C2×C4×C7—21no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—21no—
892C2×C4×C7—21no—
893C2×C4×C7—21no—
894C2×C4×C7—21no—
895C2×C4×C7—21no—
896C2×C4×C7—21no—
897C2×C4×C7—21no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—44no—
901C2×C4×C7—82no—
902C2×C4×C7C23×C412yes—
903C2×C4×C7C23×C412yes—
904C2×C4×C7C23×C412yes—
905C2×C4×C7C23×C412yes—
906C2×C4×C7C23×C412yes—
907C2×C4×C7H(5,𝔽2)12yes—
908C22⋊D7—44no—
909C22⋊D7—44no—
910C22⋊D7—44no—
911C22⋊D7—44no—
912C22⋊D7—44no—
913C22⋊D7—44no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—21no—
922C2×Dic7—21no—
923C2×Dic7—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—21no—
928C2×Dic7—21no—
929C2×Dic7—21no—
930C2×Dic7—21no—
931C2×Dic7—21no—
932C2×Dic7—21no—
933C2×Dic7—21no—
934C2×Dic7—21no—
935C2×Dic7—21no—
936C2×Dic7—21no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—21no—
940C2×Dic7—21no—
941C2×Dic7—21no—
942C2×Dic7—21no—
943C2×Dic7—44no—
944C2×Dic7—82no—
945C2×Dic7C23×C412yes—
946C2×Dic7C23×C412yes—
947C2×Dic7C23×C412yes—
948C2×Dic7H(5,𝔽2)12yes—
949D28—28no—
950D28—28no—
951D28—44no—
952D28—44no—
953D28—44no—
954D28—44no—
955D28—44no—
956D28—44no—
957C4×D7—28no—
958C4×D7—44no—
959C4×D7—44no—
960C4×D7—44no—
961C4×D7—44no—
962C4×D7—44no—
963C4×D7—44no—
964C4×D7—82no—
965C4×D7—82no—
966C4×D7—82no—
967C4×D7—82no—
968C4×D7—82no—
969C4×D7—82no—
970C4×D7—82no—
971C4×D7—82no—
972C25—71no—
973C25—71no—
974C2×#41—78no—
975C2×#41—282no—
976C2×#41—282no—
977C22×Q8C22×D711yescharacteristic
978C22×D4—71no—
979C22×D4—71no—
980C22×D4—71no—
981C22×D4—71no—
982C22×D4—71no—
983C22×D4—71no—
984C22×D4—78no—
985C22×D4—71no—
986C22×D4—71no—
987C22×D4—71no—
988C22×D4—71no—
989C22×D4—71no—
990C22×D4—71no—
991C22×D4—71no—
992C22×D4—71no—
993C22×D4—282no—
994C22×D4—282no—
995C22×D4C22×D711yescharacteristic
996C23×C4—71no—
997C23×C4—71no—
998C23×C4—71no—
999C23×C4—71no—
1000C23×C4—71no—
1001C23×C4—71no—
1002C23×C4—71no—
1003C23×C4—71no—
1004C23×C4—71no—
1005C23×C4—71no—
1006C23×C4—71no—
1007C23×C4—71no—
1008C23×C4—71no—
1009C23×C4—71no—
1010C23×C4—71no—
1011C23×C4—71no—
1012C23×C4—71no—
1013C23×C4—282no—
1014C23×C4—282no—
1015C23×C4—282no—
1016C23×C4C22×D711yescharacteristic
1017C23×C4C22×D711yescharacteristic
1018#127—78no—
1019#127—78no—
1020#124—78no—
1021#124C4×D718yescomplemented
1022#121—78no—
1023#121—78no—
1024#121—78no—
1025#121—78no—
1026#120—78no—
1027#120—78no—
1028#120—78no—
1029#120—78no—
1030C4×D4—282no—
1031C4×D4—282no—
1032C4×D4—282no—
1033C4×D4—282no—
1034C4×D4—282no—
1035C4×D4—282no—
1036C4×D4—282no—
1037C4×D4—282no—
1038C4×D4—282no—
1039C4×D4—282no—
1040C4×D4—282no—
1041C4×D4—282no—
1042#117—78no—
1043C2×C4⋊C4—71no—
1044C2×C4⋊C4—71no—
1045C2×C4⋊C4—71no—
1046C2×C4⋊C4—71no—
1047C2×C4⋊C4—71no—
1048C2×C4⋊C4—71no—
1049C2×C4⋊C4—71no—
1050C2×C4⋊C4—71no—
1051C2×C4⋊C4—71no—
1052C2×C4⋊C4—71no—
1053C2×C4⋊C4C22×D711yescharacteristic
1054C2×C4⋊C4C22×D711yescharacteristic
1055C2×C4⋊C4C22×D711yescharacteristic
1056C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4—71no—
1080C2×C22⋊C4—71no—
1081C2×C22⋊C4—71no—
1082C2×C22⋊C4—71no—
1083C2×C22⋊C4—71no—
1084C2×C22⋊C4—71no—
1085C2×C22⋊C4—71no—
1086C2×C22⋊C4—71no—
1087C2×C22⋊C4—71no—
1088C2×C22⋊C4—71no—
1089C2×C22⋊C4—71no—
1090C2×C22⋊C4—71no—
1091C2×C22⋊C4—71no—
1092C2×C22⋊C4—71no—
1093C2×C22⋊C4—71no—
1094C2×C22⋊C4—71no—
1095C2×C22⋊C4—71no—
1096C2×C22⋊C4—71no—
1097C2×C22⋊C4—282no—
1098C2×C22⋊C4—282no—
1099C2×C22⋊C4—282no—
1100C2×C22⋊C4—282no—
1101C2×C22⋊C4—282no—
1102C2×C22⋊C4C22×D711yescharacteristic
1103C2×C22⋊C4C22×D711yescharacteristic
1104C2×C22⋊C4C22×D711yescharacteristic
1105C2×C22⋊C4C22×D711yescharacteristic
1106C2×C22⋊C4C22×D711yescharacteristic
1107C2×C22⋊C4C22×D711yescharacteristic
1108C2×C22⋊C4C22×D711yescharacteristic
1109C2×C22⋊C4C22×D711yescharacteristic
1110C2×C22⋊C4C22×D711yescharacteristic
1111C2×C22⋊C4C22×D711yescharacteristic
1112C2×C42—71no—
1113C2×C42—71no—
1114C2×C42—71no—
1115C2×C42—71no—
1116C2×C42—71no—
1117C2×C42—71no—
1118C2×C42—71no—
1119C2×C42—71no—
1120C2×C42—71no—
1121C2×C42C22×D711yescharacteristic
1122C2×C42C22×D711yescharacteristic
1123C2×C42C22×D711yescharacteristic
1124C2×C42C22×D711yescharacteristic
1125C2×C42C22×D711yescharacteristic
1126#95—71no—
1127#95—71no—
1128#95—71no—
1129#95—71no—
1130#95—71no—
1131#95—71no—
1132#95—71no—
1133#95—71no—
1134#95—71no—
1135#95—71no—
1136#95—71no—
1137#95—71no—
1138#95—71no—
1139#95—71no—
1140#95—71no—
1141#95—71no—
1142#95—71no—
1143#95—71no—
1144#95—71no—
1145#95—71no—
1146#95—71no—
1147#95—71no—
1148#95—71no—
1149#95—71no—
1150#95—71no—
1151#95—71no—
1152#95—71no—
1153#95—71no—
1154#95C22×D711yescharacteristic
1155#95C22×D711yescharacteristic
1156#95C22×D711yescharacteristic
1157#95C22×D711yescharacteristic
1158#95C22×D711yescharacteristic
1159#95C22×D711yescharacteristic
1160#95C22×D711yescharacteristic
1161#95C22×D711yescharacteristic
1162#95C22×D711yescharacteristic
1163#95C22×D711yescharacteristic
1164#95C22×D711yescharacteristic
1165#95C22×D711yescharacteristic
1166C22×C7—22no—
1167C22×C7—22no—
1168C22×C7—22no—
1169C22×C7—22no—
1170C22×C7—22no—
1171C22×C7—22no—
1172C22×C7—41no—
1173C22×C7—41no—
1174C22×C7—41no—
1175C22×C7—41no—
1176C22×C7—41no—
1177C22×C7—41no—
1178C22×C7—41no—
1179C22×C7—41no—
1180C22×C7C24×C411yescharacteristic
1181C22×C7C2×H(5,𝔽2)11yescharacteristic
1182C22×C7C2×H(5,𝔽2)11yescharacteristic
1183C22×C7C2×H(5,𝔽2)11yescharacteristic
1184C22×C7C2×H(5,𝔽2)11yescharacteristic
1185C22×C7#58511yescharacteristic
1186C22×C7#58511yescharacteristic
1187C2×D7—22no—
1188C2×D7—22no—
1189C2×D7—22no—
1190C2×D7—22no—
1191C2×D7—22no—
1192C2×D7—22no—
1193C2×D7—22no—
1194C2×D7—22no—
1195C2×D7—22no—
1196C2×D7—22no—
1197C2×D7—22no—
1198C2×D7—22no—
1199C2×D7—22no—
1200C2×D7—22no—
1201C2×D7—22no—
1202C2×D7—22no—
1203C2×D7—22no—
1204C2×D7—22no—
1205C2×D7—416no—
1206C2×D7—41no—
1207C2×D7—41no—
1208C2×D7—41no—
1209C2×D7—41no—
1210C2×D7—41no—
1211C2×D7—41no—
1212C2×D7—41no—
1213C2×D7—41no—
1214C2×D7—41no—
1215C2×D7—41no—
1216C2×D7—41no—
1217C2×D7—41no—
1218C2×D7—41no—
1219C2×D7—41no—
1220C2×D7—41no—
1221C2×D7—41no—
1222C2×D7—88no—
1223C2×D7#51814yes—
1224C4×C7—22no—
1225C4×C7—22no—
1226C4×C7—22no—
1227C4×C7—22no—
1228C4×C7—22no—
1229C4×C7—22no—
1230C4×C7—41no—
1231C4×C7—41no—
1232C4×C7—41no—
1233C4×C7—41no—
1234C4×C7—41no—
1235C4×C7—41no—
1236C4×C7—41no—
1237Dic7—22no—
1238Dic7—22no—
1239Dic7—22no—
1240Dic7—22no—
1241Dic7—41no—
1242Dic7—41no—
1243Dic7—41no—
1244Dic7—41no—
1245Dic7—41no—
1246Dic7—41no—
1247Dic7—41no—
1248C24—71no—
1249C24—71no—
1250C24—71no—
1251C24—71no—
1252C24—71no—
1253C24—74no—
1254C24—74no—
1255C24—142no—
1256C24—142no—
1257C24—142no—
1258C24—142no—
1259C24—281no—
1260C24—281no—
1261C24—281no—
1262C24—281no—
1263C24—281no—
1264C24—281no—
1265C24—281no—
1266C24—281no—
1267C24C23×D711yescharacteristic
1268C24C23×D711yescharacteristic
1269#41—2816no—
1270C2×Q8—41no—
1271C2×Q8—41no—
1272C2×Q8C2×C4×D714yescomplemented
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—74no—
1276C2×D4—74no—
1277C2×D4—74no—
1278C2×D4—74no—
1279C2×D4—74no—
1280C2×D4—74no—
1281C2×D4—74no—
1282C2×D4—74no—
1283C2×D4—74no—
1284C2×D4—74no—
1285C2×D4—74no—
1286C2×D4—74no—
1287C2×D4—74no—
1288C2×D4—74no—
1289C2×D4—142no—
1290C2×D4—142no—
1291C2×D4—142no—
1292C2×D4—142no—
1293C2×D4—281no—
1294C2×D4—281no—
1295C2×D4—281no—
1296C2×D4—281no—
1297C2×D4—281no—
1298C2×D4—281no—
1299C2×D4—281no—
1300C2×D4—281no—
1301C2×D4—281no—
1302C2×D4—281no—
1303C2×D4—281no—
1304C2×D4—281no—
1305C2×D4—2816no—
1306C2×D4—281no—
1307C2×D4—281no—
1308C2×D4—281no—
1309C2×D4—281no—
1310C2×D4—281no—
1311C2×D4—281no—
1312C2×D4—281no—
1313C2×D4—281no—
1314C2×D4—281no—
1315C2×D4—281no—
1316C2×D4—281no—
1317C2×D4—281no—
1318C2×D4C2×C4×D714yes—
1319C22×C4—22no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—71no—
1326C22×C4—71no—
1327C22×C4—71no—
1328C22×C4—71no—
1329C22×C4—74no—
1330C22×C4—74no—
1331C22×C4—74no—
1332C22×C4—71no—
1333C22×C4—71no—
1334C22×C4—71no—
1335C22×C4—71no—
1336C22×C4—71no—
1337C22×C4—71no—
1338C22×C4—71no—
1339C22×C4—142no—
1340C22×C4—142no—
1341C22×C4—142no—
1342C22×C4—142no—
1343C22×C4—142no—
1344C22×C4—142no—
1345C22×C4—142no—
1346C22×C4—142no—
1347C22×C4—142no—
1348C22×C4—142no—
1349C22×C4—142no—
1350C22×C4—142no—
1351C22×C4—142no—
1352C22×C4—281no—
1353C22×C4—281no—
1354C22×C4—281no—
1355C22×C4—281no—
1356C22×C4—281no—
1357C22×C4—281no—
1358C22×C4—281no—
1359C22×C4—281no—
1360C22×C4—281no—
1361C22×C4—281no—
1362C22×C4—281no—
1363C22×C4—281no—
1364C22×C4—281no—
1365C22×C4—281no—
1366C22×C4—281no—
1367C22×C4—281no—
1368C22×C4—281no—
1369C22×C4—281no—
1370C22×C4—281no—
1371C22×C4—281no—
1372C22×C4—281no—
1373C22×C4—281no—
1374C22×C4—281no—
1375C22×C4—281no—
1376C22×C4—281no—
1377C22×C4—281no—
1378C22×C4—281no—
1379C22×C4—281no—
1380C22×C4—281no—
1381C22×C4—281no—
1382C22×C4—2816no—
1383C22×C4—281no—
1384C22×C4—281no—
1385C22×C4—281no—
1386C22×C4—281no—
1387C22×C4—281no—
1388C22×C4C23×D711yescharacteristic
1389C22×C4C23×D711yescharacteristic
1390C22×C4C23×D711yescharacteristic
1391C22×C4C23×D711yescharacteristic
1392C22×C4C23×D711yescharacteristic
1393C22×C4C23×D711yescharacteristic
1394C22×C4C23×D711yescharacteristic
1395C22×C4C23×D711yescharacteristic
1396C22×C4C23×D711yescharacteristic
1397C22×C4C23×D711yescharacteristic
1398C22×C4C23×D711yescharacteristic
1399C22×C4C23×D711yescharacteristic
1400C22×C4C23×D711yescharacteristic
1401C4⋊C4—22no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—74no—
1406C4⋊C4—74no—
1407C4⋊C4—142no—
1408C4⋊C4—281no—
1409C4⋊C4—281no—
1410C4⋊C4—281no—
1411C4⋊C4—281no—
1412C4⋊C4—281no—
1413C4⋊C4—281no—
1414C4⋊C4—281no—
1415C22⋊C4—22no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—74no—
1422C22⋊C4—74no—
1423C22⋊C4—74no—
1424C22⋊C4—74no—
1425C22⋊C4—74no—
1426C22⋊C4—74no—
1427C22⋊C4—142no—
1428C22⋊C4—142no—
1429C22⋊C4—142no—
1430C22⋊C4—142no—
1431C22⋊C4—142no—
1432C22⋊C4—142no—
1433C22⋊C4—142no—
1434C22⋊C4—142no—
1435C22⋊C4—142no—
1436C22⋊C4—281no—
1437C22⋊C4—281no—
1438C22⋊C4—281no—
1439C22⋊C4—281no—
1440C22⋊C4—281no—
1441C22⋊C4—281no—
1442C22⋊C4—281no—
1443C22⋊C4—281no—
1444C22⋊C4—281no—
1445C22⋊C4—281no—
1446C22⋊C4—281no—
1447C22⋊C4—281no—
1448C22⋊C4—281no—
1449C22⋊C4—281no—
1450C22⋊C4—281no—
1451C22⋊C4—281no—
1452C22⋊C4—281no—
1453C22⋊C4—281no—
1454C22⋊C4—281no—
1455C22⋊C4—281no—
1456C22⋊C4—281no—
1457C22⋊C4—281no—
1458C22⋊C4—281no—
1459C22⋊C4—281no—
1460C22⋊C4—281no—
1461C22⋊C4C2×C4×D714yes—
1462C22⋊C4C2×C4×D714yes—
1463C22⋊C4C2×C4×D714yescomplemented
1464C22⋊C4C2×C4×D714yescomplemented
1465C42—41no—
1466C42—41no—
1467C42—41no—
1468C42—41no—
1469C42—74no—
1470C42—142no—
1471C42—142no—
1472C42—281no—
1473C42—281no—
1474C42—281no—
1475C42—281no—
1476C42—281no—
1477C42—281no—
1478C42C2×C4×D714yescomplemented
1479C2×C7—42no—
1480C2×C7—42no—
1481C2×C7C2×#51811yescharacteristic
1482C2×C7C4×H(5,𝔽2)11yescharacteristic
1483C2×C7C4×H(5,𝔽2)11yescharacteristic
1484C2×C7#353211yescharacteristic
1485C2×C7#353311yescharacteristic
1486C2×C7#354211yescharacteristic
1487C2×C7#354211yescharacteristic
1488D7—24no—
1489D7—42no—
1490D7—42no—
1491D7—42no—
1492D7—42no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—72no—
1506C23—72no—
1507C23—72no—
1508C23—72no—
1509C23—72no—
1510C23—72no—
1511C23—72no—
1512C23—148no—
1513C23—148no—
1514C23—141no—
1515C23—141no—
1516C23—141no—
1517C23—141no—
1518C23—141no—
1519C23—141no—
1520C23—141no—
1521C23—141no—
1522C23—141no—
1523C23—141no—
1524C23—141no—
1525C23—141no—
1526C23—141no—
1527C23—141no—
1528C23—141no—
1529C23—141no—
1530C23—141no—
1531C23—141no—
1532C23—141no—
1533C23—141no—
1534C23—141no—
1535C23—141no—
1536C23—141no—
1537C23—141no—
1538C23—141no—
1539C23—141no—
1540C23—141no—
1541C23—141no—
1542C23—284no—
1543C23—284no—
1544C23—284no—
1545C23—284no—
1546C23—284no—
1547C23—284no—
1548C23—284no—
1549C23—284no—
1550C23—562no—
1551C23—562no—
1552C23—562no—
1553C23—562no—
1554C23C22×C4×D712yes—
1555C23C22×C4×D712yes—
1556C23C24×D711yescharacteristic
1557Q8—44no—
1558D4—44no—
1559D4—148no—
1560D4—148no—
1561D4—284no—
1562D4—284no—
1563D4—284no—
1564D4—284no—
1565D4—284no—
1566D4—284no—
1567D4—284no—
1568D4—284no—
1569D4—284no—
1570D4—284no—
1571D4—284no—
1572D4—284no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—44no—
1607C2×C4—72no—
1608C2×C4—72no—
1609C2×C4—72no—
1610C2×C4—72no—
1611C2×C4—82no—
1612C2×C4—148no—
1613C2×C4—141no—
1614C2×C4—141no—
1615C2×C4—141no—
1616C2×C4—141no—
1617C2×C4—141no—
1618C2×C4—141no—
1619C2×C4—141no—
1620C2×C4—141no—
1621C2×C4—141no—
1622C2×C4—141no—
1623C2×C4—141no—
1624C2×C4—141no—
1625C2×C4—141no—
1626C2×C4—141no—
1627C2×C4—141no—
1628C2×C4—141no—
1629C2×C4—141no—
1630C2×C4—141no—
1631C2×C4—141no—
1632C2×C4—141no—
1633C2×C4—141no—
1634C2×C4—141no—
1635C2×C4—141no—
1636C2×C4—141no—
1637C2×C4—141no—
1638C2×C4—141no—
1639C2×C4—141no—
1640C2×C4—141no—
1641C2×C4—141no—
1642C2×C4—284no—
1643C2×C4—284no—
1644C2×C4—284no—
1645C2×C4—284no—
1646C2×C4—284no—
1647C2×C4—284no—
1648C2×C4—284no—
1649C2×C4—562no—
1650C2×C4—562no—
1651C2×C4—562no—
1652C2×C4—562no—
1653C2×C4—562no—
1654C2×C4—562no—
1655C2×C4—562no—
1656C2×C4—562no—
1657C2×C4—562no—
1658C2×C4C22×C4×D712yes—
1659C2×C4C22×C4×D712yes—
1660C2×C4C22×C4×D712yes—
1661C2×C4C22×C4×D712yes—
1662C2×C4C22×C4×D712yes—
1663C2×C4#655312yes—
1664C7#3440611yescharacteristic, complemented, Sylow
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—74no—
1680C22—142no—
1681C22—142no—
1682C22—142no—
1683C22—142no—
1684C22—142no—
1685C22—142no—
1686C22—142no—
1687C22—142no—
1688C22—142no—
1689C22—142no—
1690C22—142no—
1691C22—142no—
1692C22—142no—
1693C22—142no—
1694C22—142no—
1695C22—142no—
1696C22—142no—
1697C22—142no—
1698C22—2816no—
1699C22—281no—
1700C22—281no—
1701C22—281no—
1702C22—281no—
1703C22—281no—
1704C22—281no—
1705C22—281no—
1706C22—281no—
1707C22—281no—
1708C22—281no—
1709C22—281no—
1710C22—281no—
1711C22—281no—
1712C22—281no—
1713C22—281no—
1714C22—281no—
1715C22—568no—
1716C22C23×C4×D711yescharacteristic
1717C22C2×#655311yescharacteristic
1718C22#9061611yescharacteristic
1719C22D7×H(5,𝔽2)11yescharacteristic
1720C22D7×H(5,𝔽2)11yescharacteristic
1721C22D7×H(5,𝔽2)11yescharacteristic
1722C22#9062011yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—142no—
1737C4—142no—
1738C4—142no—
1739C4—142no—
1740C4—281no—
1741C4—281no—
1742C4—281no—
1743C4—281no—
1744C4—281no—
1745C4—281no—
1746C4—281no—
1747C2—42no—
1748C2—42no—
1749C2—144no—
1750C2—282no—
1751C2—282no—
1752C2—282no—
1753C2—282no—
1754C2C4×#655311yescharacteristic
1755C2D7×#51811yescharacteristic
1756C2#1174295411yescharacteristic
1757C2#1174346811yescharacteristic
1758C2#1174348611yescharacteristic
1759C2#1174362711yescharacteristic
1760C2#1174363111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2337C2
socle, cosocleC23×C7C25
prime radicalC2×#90365C2
hypercenter#2337D7
hypocenterC7#34406
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2337

Complements

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

NH ≅ G/Ntype
2. C7×#2337C2semidirect
3. #11740399C2semidirect
4. #11734058C2semidirect
5. #11734058C2semidirect
6. #11733941C2semidirect
7. #11733940C2semidirect
8. #11733284C2semidirect
9. #11733281C2semidirect
10. #11733281C2semidirect
11. #11733275C2semidirect
12. #11733274C2semidirect
13. #11733272C2semidirect
14. #11733271C2semidirect
15. #11732935C2semidirect
16. #11732319C2semidirect
17. D7×#386C2semidirect
18. #11732112C2semidirect
19. #11732112C2semidirect
20. #11732041C2semidirect
21. #11732039C2semidirect
22. #11731846C2semidirect
23. #11731824C2semidirect
24. #11731743C2semidirect
25. #11731741C2semidirect
26. #11731211C2semidirect
27. #11731098C2semidirect
28. #11731024C2semidirect
29. #11731022C2semidirect
30. #11731015C2semidirect
31. C4×#6445C2semidirect
38. C2×C4×C22⋊D7C22semidirect
39. C2×C4×C22⋊D7C22semidirect
41. #90365C4semidirect
44. C2×#6456C22semidirect
45. C2×#6456C22semidirect
54. C2×(C22⋊D7)⋊C4C22semidirect
55. C2×(C22⋊D7)⋊C4C22semidirect
63. C2×C4×D28C22semidirect
64. C2×C4×D28C22semidirect
66. C7×#391C22semidirect
67. C7×#391C22semidirect
68. C7×#388C22semidirect
69. C7×#388C22semidirect
70. C7×#388C22semidirect
71. C7×#388C22semidirect
74. C7×#385C22semidirect
75. C7×#385C22semidirect
76. C7×#383C22semidirect
77. C4×C7×C4⋊C4C22semidirect
78. C4×C7×C22⋊C4C22semidirect
79. C4×C7×C22⋊C4C22semidirect
80. #90002C22semidirect
81. #90002C22semidirect
86. #89985C22semidirect
87. #89985C22semidirect
88. #89762C22semidirect
89. #89762C22semidirect
92. #89761C22semidirect
93. #89761C22semidirect
94. #89760C22semidirect
95. #89760C22semidirect
96. #89759C22semidirect
97. #89759C22semidirect
98. #89750C22semidirect
99. #89750C22semidirect
102. #89730C22semidirect
103. #89730C22semidirect
104. #89729C22semidirect
105. #89729C22semidirect
106. #89729C22semidirect
107. #89729C22semidirect
112. #89728C22semidirect
113. #89728C22semidirect
114. #89728C22semidirect
115. #89728C22semidirect
118. #89723C22semidirect
119. #89723C22semidirect
120. #89723C22semidirect
121. #89723C22semidirect
122. #89722C22semidirect
123. #89722C22semidirect
124. C22⋊C4×Dic7C22semidirect
125. C22⋊C4×Dic7C22semidirect
126. #89712C22semidirect
127. #89712C22semidirect
128. #89711C22semidirect
129. #89711C22semidirect
132. C4×(C2×D7)⋊C4C22semidirect
133. C4×(C2×D7)⋊C4C22semidirect
134. C4×(C2×D7)⋊C4C22semidirect
135. C4×(C2×D7)⋊C4C22semidirect
136. #89709C22semidirect
137. C4×C4⋊Dic7C22semidirect
138. #89705C22semidirect
139. #89705C22semidirect
140. #89442C22semidirect
141. #89442C22semidirect
142. #89441C22semidirect
143. #89441C22semidirect
146. #89440C22semidirect
147. #89440C22semidirect
150. #89438C22semidirect
151. #89438C22semidirect
160. #89437C22semidirect
161. #89437C22semidirect
162. #89437C22semidirect
163. #89437C22semidirect
164. #89437C22semidirect
165. #89437C22semidirect
166. #89437C22semidirect
167. #89437C22semidirect
168. #89437C22semidirect
169. #89437C22semidirect
170. #89437C22semidirect
171. #89437C22semidirect
174. #89436C22semidirect
175. #89436C22semidirect
178. D7×#95C22semidirect
179. D7×#95C22semidirect
180. #89427C22semidirect
181. #89427C22semidirect
182. #89424C22semidirect
183. #89424C22semidirect
184. #89422C22semidirect
185. #89422C22semidirect
186. #89420C22semidirect
187. #89420C22semidirect
205. C2×#1161C2×C4semidirect
208. C2×D4×D7C2×C4semidirect
235. C7×#124C2×C4semidirect
261. #6510C2×C4semidirect
262. #6503C2×C4semidirect
323. #6447C2×C4semidirect
324. #6447C2×C4semidirect
325. #6447C2×C4semidirect
326. #6447C2×C4semidirect
327. #6445C2×C4semidirect
328. #6445C2×C4semidirect
329. #6445C2×C4semidirect
330. #6445C2×C4semidirect
337. #6437C2×C4semidirect
342. #6435C2×C4semidirect
401. #2337D7semidirect
437. C2×C7×Q8C22×C4semidirect
476. C2×C22⋊D7C22×C4semidirect
477. C2×C22⋊D7C22×C4semidirect
518. C2×D28C22×C4semidirect
519. C2×D28C22×C4semidirect
520. C2×D28C22×C4semidirect
565. C2×C4×D7C22×C4semidirect
566. C2×C4×D7C22×C4semidirect
579. C7×C22⋊C4C22×C4semidirect
580. C7×C22⋊C4C22×C4semidirect
585. C42×C7C22×C4semidirect
624. (C2×D7)⋊C4C22×C4semidirect
625. (C2×D7)⋊C4C22×C4semidirect
634. Dic7⋊C4C22×C4semidirect
635. Dic7⋊C4C22×C4semidirect
644. C4×Dic7C22×C4semidirect
681. #391C2×D7semidirect
682. #391C2×D7semidirect
703. #388C2×D7semidirect
704. #388C2×D7semidirect
705. #388C2×D7semidirect
706. #388C2×D7semidirect
765. #385C2×D7semidirect
766. #385C2×D7semidirect
768. #383C2×D7semidirect
780. C4×C4⋊C4C2×D7semidirect
793. C4×C22⋊C4C2×D7semidirect
794. C4×C22⋊C4C2×D7semidirect
1021. #124C4×D7semidirect
1272. C2×Q8C2×C4×D7semidirect
1463. C22⋊C4C2×C4×D7semidirect
1464. C22⋊C4C2×C4×D7semidirect
1478. C42C2×C4×D7semidirect
1664. C7#34406semidirect

Maximal subgroups

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

subgroupindex
C2×#903652
C7×#23372
#117403992
#117340582
#117339412
#117339402
#117332842
#117332812
#117332752
#117332742
#117332722
#117332712
#117329352
#117323192
D7×#3862
#117321122
#117320412
#117320392
#117318462
#117318242
#117317432
#117317412
#117312112
#117310982
#117310242
#117310222
#117310152
C4×#64452
#344067