Finite Group Databasebeta

← #13512733

Subgroups — #13512733

Order 1792.

2714 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90277C211yesmaximal, characteristic
2C7×#2321C211yesmaximal, characteristic, complemented
3#11740023C211yesmaximal, characteristic, complemented
4#11739772C211yesmaximal, characteristic, complemented
5C4×D4×Dic7C211yesmaximal, characteristic, complemented
6#11739541C211yesmaximal, characteristic, complemented
7C2×C22⋊C4×Dic7C211yesmaximal, characteristic, complemented
8#11733745C211yesmaximal, characteristic, complemented
9#11733744C211yesmaximal, characteristic, complemented
10#11733735C211yesmaximal, characteristic, complemented
11#11733734C211yesmaximal, characteristic, complemented
12#11732914C211yesmaximal, characteristic, complemented
13#11732913C211yesmaximal, characteristic, complemented
14#11732909C211yesmaximal, characteristic, complemented
15#11732908C211yesmaximal, characteristic, complemented
16#11732896C211yesmaximal, characteristic, complemented
17#11732896C211yesmaximal, characteristic, complemented
18#11732895C211yesmaximal, characteristic, complemented
19#11732894C211yesmaximal, characteristic, complemented
20#11732115C211yesmaximal, characteristic, complemented
21#11732113C211yesmaximal, characteristic, complemented
22#11732111C211yesmaximal, characteristic, complemented
23#11732103C211yesmaximal, characteristic, complemented
24#11732102C211yesmaximal, characteristic, complemented
25#11732102C211yesmaximal, characteristic, complemented
26#11731832C211yesmaximal, characteristic, complemented
27#11731822C211yesmaximal, characteristic, complemented
28#11731266C211yesmaximal, characteristic, complemented
29#11731262C211yesmaximal, characteristic, complemented
30#11730892C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C24×Dic7C2211yescharacteristic
33C22×#1159C2211yescharacteristic
34C2×C7×#120C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6498C2211yescharacteristic
42C2×D4×Dic7C2211yescharacteristic
43C2×D4×Dic7C2211yescharacteristic
44C2×D4×Dic7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C22×C4×Dic7C2211yescharacteristic
47C22×C4×Dic7C2211yescharacteristic
48C22×C4×Dic7C2211yescharacteristic, complemented
49#90277C4116yescomplemented
50C2×#6455C2211yescharacteristic, complemented
51C2×#6449C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic
55C2×#6441C2211yescharacteristic
56C2×#6441C2211yescharacteristic
57C2×#6440C2211yescharacteristic
58C2×#6440C2211yescharacteristic
59C2×#6440C2211yescharacteristic
60C2×#6440C2211yescharacteristic, complemented
61C2×C42×D7C2211yescharacteristic, complemented
62C7×#390C2211yescharacteristic
63C7×#390C2211yescharacteristic
64C7×#388C2211yescharacteristic
65C7×#388C2211yescharacteristic
66C7×#388C2211yescharacteristic
67C7×#388C2211yescharacteristic
68C7×#386C2211yescharacteristic
69C7×#386C2211yescharacteristic
70C7×#386C2211yescharacteristic
71C7×#385C2211yescharacteristic
72C7×#379C2211yescharacteristic
73C4×C7×C22⋊C4C2211yescharacteristic
74#90019C2211yescharacteristic
75#89993C2211yescharacteristic
76#89993C2211yescharacteristic
77#89992C2211yescharacteristic
78#89992C2211yescharacteristic
79#89992C2211yescharacteristic
80#89985C2211yescharacteristic
81#89985C2211yescharacteristic, complemented
82#89982C2211yescharacteristic
83#89982C2211yescharacteristic, complemented
84C4×C22⋊Dic7C2211yescharacteristic
85C4×C22⋊Dic7C2211yescharacteristic, complemented
86C2×C7⋊#95C2211yescharacteristic
87C2×C7⋊#95C2211yescharacteristic
88#89762C2211yescharacteristic, complemented
89#89761C2211yescharacteristic, complemented
90#89750C2211yescharacteristic, complemented
91#89750C2211yescharacteristic, complemented
92#89750C2211yescharacteristic, complemented
93C4⋊C4×Dic7C2211yescharacteristic, complemented
94C4⋊C4×Dic7C2211yescharacteristic, complemented
95C4⋊C4×Dic7C2211yescharacteristic, complemented
96#89746C2211yescharacteristic, complemented
97#89745C2211yescharacteristic, complemented
98#89744C2211yescharacteristic, complemented
99#89730C2211yescharacteristic
100#89730C2211yescharacteristic, complemented
101#89729C2211yescharacteristic
102#89729C2211yescharacteristic
103#89729C2211yescharacteristic
104#89729C2211yescharacteristic
105#89728C2211yescharacteristic
106#89728C2211yescharacteristic
107#89728C2211yescharacteristic
108#89728C2211yescharacteristic
109#89728C2211yescharacteristic, complemented
110#89728C2211yescharacteristic, complemented
111#89723C2211yescharacteristic
112#89723C2211yescharacteristic
113#89723C2211yescharacteristic
114#89723C2211yescharacteristic
115#89722C2211yescharacteristic
116#89718C2211yescharacteristic
117#89718C2211yescharacteristic, complemented
118#89717C2211yescharacteristic
119#89717C2211yescharacteristic
120#89717C2211yescharacteristic
121#89717C2211yescharacteristic
122#89717C2211yescharacteristic, complemented
123#89717C2211yescharacteristic, complemented
124#89716C2211yescharacteristic
125#89716C2211yescharacteristic
126#89716C2211yescharacteristic
127#89716C2211yescharacteristic
128#89716C2211yescharacteristic, complemented
129#89716C2211yescharacteristic, complemented
130#89715C2211yescharacteristic
131#89715C2211yescharacteristic
132#89714C2211yescharacteristic
133#89714C2211yescharacteristic
134#89714C2211yescharacteristic
135#89714C2211yescharacteristic
136C22⋊C4×Dic7C2211yescharacteristic
137C22⋊C4×Dic7C2211yescharacteristic
138C22⋊C4×Dic7C2211yescharacteristic
139C22⋊C4×Dic7C2211yescharacteristic
140C22⋊C4×Dic7C2211yescharacteristic
141C22⋊C4×Dic7C2211yescharacteristic
142C22⋊C4×Dic7C2211yescharacteristic
143C22⋊C4×Dic7C2211yescharacteristic
144C22⋊C4×Dic7C2211yescharacteristic
145C22⋊C4×Dic7C2211yescharacteristic
146C22⋊C4×Dic7C2211yescharacteristic
147C22⋊C4×Dic7C2211yescharacteristic
148C22⋊C4×Dic7C2211yescharacteristic
149C22⋊C4×Dic7C2211yescharacteristic
150C22⋊C4×Dic7C2211yescharacteristic, complemented
151C22⋊C4×Dic7C2211yescharacteristic, complemented
152C22⋊C4×Dic7C2211yescharacteristic, complemented
153#89712C2211yescharacteristic, complemented
154C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic7C2211yescharacteristic, complemented
156#89705C2211yescharacteristic, complemented
157#89705C2211yescharacteristic, complemented
158#89705C2211yescharacteristic, complemented
159C4×Dic7⋊C4C2211yescharacteristic, complemented
160C42×Dic7C2211yescharacteristic, complemented
161C42×Dic7C2211yescharacteristic, complemented
162#89701C2211yescharacteristic, complemented
163#89700C2211yescharacteristic, complemented
164#89442C2211yescharacteristic, complemented
165#89441C2211yescharacteristic, complemented
166#89440C2211yescharacteristic, complemented
167#89438C2211yescharacteristic, complemented
168#89438C2211yescharacteristic, complemented
169#89438C2211yescharacteristic, complemented
170#89427C2211yescharacteristic, complemented
171#89427C2211yescharacteristic, complemented
172#89427C2211yescharacteristic, complemented
173#89426C2211yescharacteristic, complemented
174#89426C2211yescharacteristic, complemented
175#89425C2211yescharacteristic, complemented
176#89425C2211yescharacteristic, complemented
177#89424C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89421C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89420C2211yescharacteristic, complemented
184#89420C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34082—71nomaximal, Sylow
189C25×C7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7—42no—
201C23×Dic7—42no—
202C23×Dic7C2×C418yescomplemented
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C2×#1159—42no—
214C2×#1159—42no—
215C2×#1159C2×C418yescomplemented
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×Dic14C2311yescharacteristic
220C7×#120C2×C418yescomplemented
221C4×C7×D4—24no—
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4—24no—
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C42×C7C2311yescharacteristic
243C2×C42×C7C2311yescharacteristic
244C2×C42×C7C2311yescharacteristic
245#6516C2×C418yescomplemented
246C2×C22⋊Dic7—24no—
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265#6502C2×C418yes—
266#6502C2×C418yescomplemented
267#6498C2×C418yescomplemented
268D4×Dic7—24no—
269D4×Dic7C2×C418yescomplemented
270D4×Dic7C2×C418yescomplemented
271C4×C22⋊D7—24no—
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×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×C4×Dic7—42no—
300C2×C4×Dic7—42no—
301C2×C4×Dic7—42no—
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
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325#6455—42no—
326#6449C2×C418yescomplemented
327(C22⋊D7)⋊C4—24no—
328(C22⋊D7)⋊C4C2×C418yescomplemented
329(C22⋊D7)⋊C4C2×C418yescomplemented
330#6441C2×C418yescomplemented
331#6441C2×C418yescomplemented
332#6440—42no—
333#6440—42no—
334#6440—42no—
335#6440C2×C418yescomplemented
336C42×D7—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×#525—71no—
378#2335—71no—
379#2335—71no—
380#2335—71no—
381#2335—71no—
382#2333—71no—
383#2333—71no—
384#2332—71no—
385#2332—71no—
386#2329—71no—
387#2329—71no—
388#2325—71no—
389#2325—71no—
390#2321—71no—
391#2321—71no—
392#2321—71no—
393#2321D711yescharacteristic, complemented
394#2298—71no—
395#2298—71no—
396#2297—71no—
397#2297—71no—
398#2293—71no—
399#2293—71no—
400#2290—71no—
401#2290—71no—
402#2290—71no—
403#2290—71no—
404#2280—71no—
405C42×D4—71no—
406C42×D4—71no—
407C2×C4×C22⋊C4—71no—
408C24×C7—22no—
409C24×C7—22no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7C22×C414yes—
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—22no—
421C2×C7×D4—22no—
422C2×C7×D4—41no—
423C2×C7×D4—41no—
424C2×C7×D4—41no—
425C2×C7×D4—41no—
426C2×C7×D4C22×C414yes—
427C2×C7×D4C22×C414yes—
428C2×C7×D4C22×C414yes—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7#4114yescomplemented
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7C22×C414yes—
458C2×C22⋊D7C22×C414yes—
459C2×C22⋊D7C22×C414yes—
460C2×C22⋊D7C22×C414yes—
461C22×Dic7—22no—
462C22×Dic7—22no—
463C22×Dic7—22no—
464C22×Dic7—22no—
465C22×Dic7—22no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—416no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7—41no—
476C22×Dic7—41no—
477C22×Dic7—41no—
478C22×Dic7—41no—
479C22×Dic7—41no—
480C22×Dic7—41no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7C22×C414yes—
485C22×Dic7C22×C414yes—
486C22×Dic7C22×C414yes—
487C22×Dic7C22×C414yes—
488C22×Dic7C22×C414yes—
489C22×Dic7C22×C414yes—
490C22×Dic7C22×C414yes—
491C22×Dic7#4114yescomplemented
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507#1159—416no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7C22×C414yes—
517C2×Dic14—41no—
518C2×Dic14—41no—
519C2×Dic14C22×C414yes—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4—41no—
534C7×C22⋊C4—41no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4C22×C414yes—
537C7×C22⋊C4C22×C414yes—
538C7×C22⋊C4C22×C414yes—
539C42×C7—22no—
540C42×C7—41no—
541C42×C7—41no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
551C22⋊Dic7—41no—
552C22⋊Dic7—41no—
553C22⋊Dic7—41no—
554C22⋊Dic7—41no—
555C22⋊Dic7C22×C414yes—
556C22⋊Dic7C22×C414yes—
557C22⋊Dic7C22×C414yes—
558C22⋊Dic7C22×C414yes—
559C22⋊Dic7C22×C414yes—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4C22×C414yes—
567(C2×D7)⋊C4C22×C414yes—
568C4⋊Dic7—22no—
569C4⋊Dic7—41no—
570C4⋊Dic7—41no—
571C4⋊Dic7C22×C414yes—
572C4⋊Dic7C22×C414yes—
573Dic7⋊C4—22no—
574Dic7⋊C4—22no—
575Dic7⋊C4—41no—
576Dic7⋊C4—41no—
577Dic7⋊C4—41no—
578Dic7⋊C4—41no—
579Dic7⋊C4—41no—
580Dic7⋊C4—41no—
581Dic7⋊C4—41no—
582Dic7⋊C4—41no—
583Dic7⋊C4C22×C414yes—
584Dic7⋊C4C22×C414yes—
585Dic7⋊C4C22×C414yes—
586Dic7⋊C4C22×C414yes—
587C4×Dic7—22no—
588C4×Dic7—22no—
589C4×Dic7—22no—
590C4×Dic7—22no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—22no—
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×Dic7—41no—
608C4×Dic7C22×C414yes—
609C4×Dic7C22×C414yes—
610C22×#41—71no—
611C24×C4—71no—
612#525—716no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×C22⋊Q8—71no—
617C2×#121—71no—
618C2×#121—71no—
619C2×#120—71no—
620C2×#120C2×D711yescharacteristic
621C2×C4×D4—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×D4C2×D711yescharacteristic
629C2×#117—71no—
630C2×#117—71no—
631C2×#117—71no—
632C2×#117—71no—
633C2×#117—71no—
634C22×C22⋊C4—71no—
635C22×C22⋊C4C2×D711yescharacteristic
636C22×C42—71no—
637C22×C42—71no—
638C22×C42—71no—
639C22×C42—71no—
640#391—71no—
641#391—71no—
642#391—71no—
643#391—71no—
644#390—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#390—71no—
650#390C2×D711yescharacteristic
651#390C2×D711yescharacteristic
652#389—71no—
653#389—71no—
654#389—71no—
655#389—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#388—71no—
676#388C2×D711yescharacteristic
677#388C2×D711yescharacteristic
678#388C2×D711yescharacteristic
679#388C2×D711yescharacteristic
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#387—71no—
688#387—71no—
689#387—71no—
690#387—71no—
691#387—71no—
692#387—71no—
693#387—71no—
694#387—71no—
695#387—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#386—71no—
705#386—71no—
706#386—71no—
707#386—71no—
708#386—71no—
709#386C2×D711yescharacteristic
710#386C2×D711yescharacteristic
711#386C2×D711yescharacteristic
712#385—71no—
713#385—71no—
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385C2×D711yescharacteristic
720#381—71no—
721#381—71no—
722#380—71no—
723#380—71no—
724#380—71no—
725#380—71no—
726#379—71no—
727#379C2×D711yescharacteristic
728C4×C4⋊C4—71no—
729C4×C4⋊C4—71no—
730C4×C4⋊C4—71no—
731C4×C4⋊C4—71no—
732C4×C4⋊C4—71no—
733C4×C4⋊C4—71no—
734C4×C4⋊C4—71no—
735C4×C4⋊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⋊C4—71no—
757C4×C22⋊C4—71no—
758C4×C22⋊C4—71no—
759C4×C22⋊C4C2×D711yescharacteristic
760#376—71no—
761#376—71no—
762C2×#95—71no—
763C2×#95—71no—
764C43—71no—
765C43—71no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—28no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—44no—
790C23×C7—44no—
791C23×C7—44no—
792C23×C7—44no—
793C23×C7—44no—
794C23×C7—44no—
795C23×C7C23×C412yes—
796C23×C7C23×C412yes—
797C23×C7C23×C412yes—
798C23×C7C23×C412yes—
799C23×C7C2×#4112yes—
800C23×C7C2×#4112yes—
801C23×C7C2511yescharacteristic
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7C23×C412yes—
809C7×D4—28no—
810C7×D4—44no—
811C7×D4—44no—
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—44no—
841C2×C4×C7—44no—
842C2×C4×C7—44no—
843C2×C4×C7C23×C412yes—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C2×#4112yes—
847C2×C4×C7C2×#4112yes—
848C22⋊D7—28no—
849C22⋊D7—44no—
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—28no—
869C2×Dic7—28no—
870C2×Dic7—28no—
871C2×Dic7—28no—
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—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—44no—
891C2×Dic7—44no—
892C2×Dic7—44no—
893C2×Dic7—44no—
894C2×Dic7—44no—
895C2×Dic7—44no—
896C2×Dic7C23×C412yes—
897C2×Dic7C23×C412yes—
898C2×Dic7C23×C412yes—
899C2×Dic7C23×C412yes—
900C2×Dic7C23×C412yes—
901C2×Dic7C23×C412yes—
902C2×Dic7C23×C412yes—
903C2×Dic7C2×#4112yes—
904C2×Dic7C2×#4112yes—
905C2×Dic7H(5,𝔽2)12yes—
906C2×Dic7H(5,𝔽2)12yes—
907C4×D7—28no—
908C4×D7—44no—
909C4×D7—44no—
910Dic14—44no—
911C25C22×D711yescharacteristic
912C2×#41—78no—
913C2×#41—282no—
914C2×#41—282no—
915C22×Q8—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4—71no—
920C22×D4C22×D711yescharacteristic
921C22×D4C22×D711yescharacteristic
922C22×D4C22×D711yescharacteristic
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—78no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—282no—
938C23×C4—282no—
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942#123—78no—
943#123—78no—
944C22⋊Q8—78no—
945C22⋊Q8—78no—
946#121—78no—
947#121—78no—
948#120—78no—
949#120C4×D718yescomplemented
950C4×D4—24no—
951C4×D4—78no—
952C4×D4—78no—
953C4×D4—78no—
954C4×D4—78no—
955C4×D4—144no—
956C4×D4—144no—
957C4×D4—144no—
958#117—78no—
959#117—282no—
960#117—282no—
961#117—282no—
962#117—282no—
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—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C22⋊C4—24no—
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—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—144no—
1013C2×C22⋊C4C22×D711yescharacteristic
1014C2×C22⋊C4C22×D711yescharacteristic
1015C2×C22⋊C4C22×D711yescharacteristic
1016C2×C22⋊C4C22×D711yescharacteristic
1017C2×C22⋊C4C22×D711yescharacteristic
1018C2×C22⋊C4C22×D711yescharacteristic
1019C2×C22⋊C4C22×D711yescharacteristic
1020C2×C22⋊C4C22×D711yescharacteristic
1021C2×C22⋊C4C22×D711yescharacteristic
1022C2×C22⋊C4C22×D711yescharacteristic
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—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—282no—
1053C2×C42—282no—
1054C2×C42—282no—
1055C2×C42—282no—
1056C2×C42C22×D711yescharacteristic
1057C2×C42C22×D711yescharacteristic
1058C2×C42C22×D711yescharacteristic
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#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098#95C22×D711yescharacteristic
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—22no—
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—22no—
1112C22×C7—22no—
1113C22×C7—22no—
1114C22×C7—416no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7C4×#4114yes—
1128C22×C7C24×C411yescharacteristic
1129C22×C7C22×#4111yescharacteristic
1130C22×C7C22×#4111yescharacteristic
1131C22×C7C2×H(5,𝔽2)11yescharacteristic
1132C22×C7C2×H(5,𝔽2)11yescharacteristic
1133C22×C7#58511yescharacteristic
1134C22×C7#58511yescharacteristic
1135C2×D7—22no—
1136C2×D7—22no—
1137C2×D7—22no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—22no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7#51814yes—
1168C24—22no—
1169C24—22no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—71no—
1175C24C2×C4×D714yes—
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C24C23×D711yescharacteristic
1179C24C23×D711yescharacteristic
1180#41—2816no—
1181C2×Q8—74no—
1182C2×Q8—281no—
1183C2×Q8—281no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—74no—
1191C2×D4—74no—
1192C2×D4—74no—
1193C2×D4—74no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4C2×C4×D714yes—
1203C2×D4C2×C4×D714yes—
1204C2×D4C2×C4×D714yes—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—71no—
1214C22×C4—74no—
1215C22×C4—74no—
1216C22×C4—74no—
1217C22×C4—74no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—74no—
1227C22×C4—74no—
1228C22×C4—74no—
1229C22×C4—74no—
1230C22×C4—74no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—71no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—2816no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4—281no—
1267C22×C4—281no—
1268C22×C4#115914yescomplemented
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—74no—
1286C4⋊C4—74no—
1287C4⋊C4—74no—
1288C4⋊C4—74no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—74no—
1316C22⋊C4—74no—
1317C22⋊C4—74no—
1318C22⋊C4—74no—
1319C22⋊C4—74no—
1320C22⋊C4—74no—
1321C22⋊C4—74no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4C2×C4×D714yes—
1342C22⋊C4C2×C4×D714yes—
1343C22⋊C4C2×C4×D714yes—
1344C42—22no—
1345C42—41no—
1346C42—41no—
1347C42—74no—
1348C42—74no—
1349C42—142no—
1350C42—142no—
1351C42—142no—
1352C42—142no—
1353C42—142no—
1354C42—142no—
1355C42—142no—
1356C42—142no—
1357C42—142no—
1358C42—142no—
1359C42—142no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C42—281no—
1369C42—281no—
1370C2×C7—24no—
1371C2×C7—42no—
1372C2×C7—42no—
1373C2×C7—42no—
1374C2×C7C2×C4×#4111yescharacteristic
1375C2×C7C2×#51811yescharacteristic
1376C2×C7#342811yescharacteristic
1377C2×C7#345911yescharacteristic
1378C2×C7#345911yescharacteristic
1379C2×C7#346011yescharacteristic
1380C2×C7#346011yescharacteristic
1381D7—42no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—28no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—72no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23C22×C4×D712yes—
1419C23C22×C4×D712yes—
1420C23C22×C4×D712yes—
1421C23C22×C4×D712yes—
1422C23C2×#115912yes—
1423C23D7×#4112yes—
1424C23C24×D711yescharacteristic
1425Q8—284no—
1426D4—28no—
1427D4—44no—
1428D4—44no—
1429D4—148no—
1430D4—284no—
1431D4—284no—
1432D4—284no—
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—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—72no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—72no—
1471C2×C4—72no—
1472C2×C4—72no—
1473C2×C4—72no—
1474C2×C4—72no—
1475C2×C4—148no—
1476C2×C4—148no—
1477C2×C4—148no—
1478C2×C4—148no—
1479C2×C4—148no—
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—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—284no—
1515C2×C4—284no—
1516C2×C4—284no—
1517C2×C4—284no—
1518C2×C4—284no—
1519C2×C4—284no—
1520C2×C4—284no—
1521C2×C4—284no—
1522C2×C4C22×C4×D712yes—
1523C2×C4C22×C4×D712yes—
1524C2×C4C22×C4×D712yes—
1525C2×C4C2×#115912yes—
1526C2×C4C2×#115912yes—
1527C7#3408211yescharacteristic, complemented, Sylow
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—416no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—142no—
1557C22—142no—
1558C22—142no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22—281no—
1563C22C4×#115914yes—
1564C22C23×C4×D711yescharacteristic
1565C22C22×#115911yescharacteristic
1566C22C2×D7×#4111yescharacteristic
1567C22D7×H(5,𝔽2)11yescharacteristic
1568C22D7×H(5,𝔽2)11yescharacteristic
1569C22#9061811yescharacteristic
1570C22#9061811yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—74no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—142no—
1589C4—142no—
1590C4—142no—
1591C4—281no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C4—281no—
1596C4—281no—
1597C2—24no—
1598C2—42no—
1599C2—42no—
1600C2—42no—
1601C2—282no—
1602C2C2×C4×#115911yescharacteristic
1603C2#1174292411yescharacteristic
1604C2D7×#51811yescharacteristic
1605C2#1174336311yescharacteristic
1606C2#1174338211yescharacteristic
1607C2#1174345611yescharacteristic
1608C2#1174345711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2321C2
socle, cosocleC23×C7C25
prime radicalC2×#90277C2
hypercenter#2321D7
hypocenterC7#34082
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. C7×#2321C2semidirect
3. #11740023C2semidirect
4. #11739772C2semidirect
5. C4×D4×Dic7C2semidirect
6. #11739541C2semidirect
7. C2×C22⋊C4×Dic7C2semidirect
8. #11733745C2semidirect
9. #11733744C2semidirect
10. #11733735C2semidirect
11. #11733734C2semidirect
12. #11732914C2semidirect
13. #11732913C2semidirect
14. #11732909C2semidirect
15. #11732908C2semidirect
16. #11732896C2semidirect
17. #11732896C2semidirect
18. #11732895C2semidirect
19. #11732894C2semidirect
20. #11732115C2semidirect
21. #11732113C2semidirect
22. #11732111C2semidirect
23. #11732103C2semidirect
24. #11732102C2semidirect
25. #11732102C2semidirect
26. #11731832C2semidirect
27. #11731822C2semidirect
28. #11731266C2semidirect
29. #11731262C2semidirect
30. #11730892C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
48. C22×C4×Dic7C22semidirect
49. #90277C4semidirect
50. C2×#6455C22semidirect
60. C2×#6440C22semidirect
61. C2×C42×D7C22semidirect
81. #89985C22semidirect
83. #89982C22semidirect
85. C4×C22⋊Dic7C22semidirect
88. #89762C22semidirect
89. #89761C22semidirect
90. #89750C22semidirect
91. #89750C22semidirect
92. #89750C22semidirect
93. C4⋊C4×Dic7C22semidirect
94. C4⋊C4×Dic7C22semidirect
95. C4⋊C4×Dic7C22semidirect
96. #89746C22semidirect
97. #89745C22semidirect
98. #89744C22semidirect
100. #89730C22semidirect
109. #89728C22semidirect
110. #89728C22semidirect
117. #89718C22semidirect
122. #89717C22semidirect
123. #89717C22semidirect
128. #89716C22semidirect
129. #89716C22semidirect
150. C22⋊C4×Dic7C22semidirect
151. C22⋊C4×Dic7C22semidirect
152. C22⋊C4×Dic7C22semidirect
153. #89712C22semidirect
154. C4×(C2×D7)⋊C4C22semidirect
155. C4×C4⋊Dic7C22semidirect
156. #89705C22semidirect
157. #89705C22semidirect
158. #89705C22semidirect
159. C4×Dic7⋊C4C22semidirect
160. C42×Dic7C22semidirect
161. C42×Dic7C22semidirect
162. #89701C22semidirect
163. #89700C22semidirect
164. #89442C22semidirect
165. #89441C22semidirect
166. #89440C22semidirect
167. #89438C22semidirect
168. #89438C22semidirect
169. #89438C22semidirect
170. #89427C22semidirect
171. #89427C22semidirect
172. #89427C22semidirect
173. #89426C22semidirect
174. #89426C22semidirect
175. #89425C22semidirect
176. #89425C22semidirect
177. #89424C22semidirect
178. #89424C22semidirect
179. #89424C22semidirect
180. #89421C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89420C22semidirect
184. #89420C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
202. C23×Dic7C2×C4semidirect
215. C2×#1159C2×C4semidirect
220. C7×#120C2×C4semidirect
245. #6516C2×C4semidirect
266. #6502C2×C4semidirect
267. #6498C2×C4semidirect
269. D4×Dic7C2×C4semidirect
270. D4×Dic7C2×C4semidirect
326. #6449C2×C4semidirect
328. (C22⋊D7)⋊C4C2×C4semidirect
329. (C22⋊D7)⋊C4C2×C4semidirect
330. #6441C2×C4semidirect
331. #6441C2×C4semidirect
335. #6440C2×C4semidirect
393. #2321D7semidirect
437. C22×C4×C7#41semidirect
491. C22×Dic7#41semidirect
949. #120C4×D7semidirect
1268. C22×C4#1159semidirect
1527. C7#34082semidirect

Maximal subgroups

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

subgroupindex
C2×#902772
C7×#23212
#117400232
#117397722
C4×D4×Dic72
#117395412
C2×C22⋊C4×Dic72
#117337452
#117337442
#117337352
#117337342
#117329142
#117329132
#117329092
#117329082
#117328962
#117328952
#117328942
#117321152
#117321132
#117321112
#117321032
#117321022
#117318322
#117318222
#117312662
#117312622
#117308922
C4×(C22⋊D7)⋊C42
#340827