Finite Group Databasebeta

← #13515238

Subgroups — #13515238

Order 1792.

2546 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90304C211yesmaximal, characteristic
2C7×#2333C211yesmaximal, characteristic, complemented
3Dic7×#121C211yesmaximal, characteristic, complemented
4#11733878C211yesmaximal, characteristic, complemented
5#11733877C211yesmaximal, characteristic, complemented
6#11733752C211yesmaximal, characteristic, complemented
7#11733750C211yesmaximal, characteristic, complemented
8D7×#388C211yesmaximal, characteristic, complemented
9#11732916C211yesmaximal, characteristic, complemented
10#11732910C211yesmaximal, characteristic, complemented
11#11732894C211yesmaximal, characteristic, complemented
12#11732755C211yesmaximal, characteristic, complemented
13#11732419C211yesmaximal, characteristic, complemented
14#11732417C211yesmaximal, characteristic, complemented
15#11732410C211yesmaximal, characteristic, complemented
16#11732326C211yesmaximal, characteristic, complemented
17#11732325C211yesmaximal, characteristic, complemented
18#11732324C211yesmaximal, characteristic, complemented
19#11732324C211yesmaximal, characteristic, complemented
20#11732126C211yesmaximal, characteristic, complemented
21#11732125C211yesmaximal, characteristic, complemented
22#11732123C211yesmaximal, characteristic, complemented
23#11732120C211yesmaximal, characteristic, complemented
24#11731565C211yesmaximal, characteristic, complemented
25#11731497C211yesmaximal, characteristic, complemented
26#11731005C211yesmaximal, characteristic, complemented
27#11730896C211yesmaximal, characteristic, complemented
28C4×#6442C211yesmaximal, characteristic, complemented
29C4×#6448C211yesmaximal, characteristic, complemented
30#11730881C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C2×C7×#121C2211yescharacteristic
33C2×#6502C2211yescharacteristic
34C2×#6501C2211yescharacteristic
35C2×#6500C2211yescharacteristic
36C2×#6500C2211yescharacteristic
37C2×#6499C2211yescharacteristic
38C2×#6498C2211yescharacteristic
39C2×D4×Dic7C2211yescharacteristic
40C2×D4×Dic7C2211yescharacteristic
41C2×D4×Dic7C2211yescharacteristic, complemented
42C2×#6492C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C22×(C2×D7)⋊C4C2211yescharacteristic
47C22×C4×Dic7C2211yescharacteristic, complemented
48#90304C4116yescomplemented
49C2×#6461C2211yescharacteristic
50C2×#6459C2211yescharacteristic
51C2×D7×C4⋊C4C2211yescharacteristic
52C2×#6448C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic
55C2×(C22⋊D7)⋊C4C2211yescharacteristic
56C2×(C22⋊D7)⋊C4C2211yescharacteristic
57C2×(C22⋊D7)⋊C4C2211yescharacteristic
58C2×D7×C22⋊C4C2211yescharacteristic
59C2×D7×C22⋊C4C2211yescharacteristic
60C2×D7×C22⋊C4C2211yescharacteristic
61C2×D7×C22⋊C4C2211yescharacteristic
62C2×#6442C2211yescharacteristic
63C2×#6440C2211yescharacteristic, complemented
64C2×C42×D7C2211yescharacteristic
65C2×C4×Dic14C2211yescharacteristic, complemented
66C7×#390C2211yescharacteristic
67C7×#390C2211yescharacteristic, complemented
68C7×#388C2211yescharacteristic
69C7×#388C2211yescharacteristic, complemented
70C7×#387C2211yescharacteristic, complemented
71C7×#387C2211yescharacteristic, complemented
72C7×#386C2211yescharacteristic
73C7×#386C2211yescharacteristic
74C7×#386C2211yescharacteristic
75C7×#386C2211yescharacteristic, complemented
76C7×#381C2211yescharacteristic, complemented
77C4×C7×C22⋊C4C2211yescharacteristic
78C4×C7×C22⋊C4C2211yescharacteristic, complemented
79C4×C7×C22⋊C4C2211yescharacteristic, complemented
80#89993C2211yescharacteristic
81#89992C2211yescharacteristic
82#89992C2211yescharacteristic, complemented
83#89984C2211yescharacteristic, complemented
84C4×C22⋊Dic7C2211yescharacteristic
85C4×C22⋊Dic7C2211yescharacteristic
86C4×C22⋊Dic7C2211yescharacteristic
87C4×C22⋊Dic7C2211yescharacteristic, complemented
88C2×C7⋊#95C2211yescharacteristic, complemented
89#89762C2211yescharacteristic
90#89761C2211yescharacteristic
91#89761C2211yescharacteristic
92#89757C2211yescharacteristic, complemented
93C4⋊C4×Dic7C2211yescharacteristic, complemented
94C4⋊C4×Dic7C2211yescharacteristic, complemented
95#89746C2211yescharacteristic, complemented
96#89745C2211yescharacteristic, complemented
97#89744C2211yescharacteristic, complemented
98#89730C2211yescharacteristic
99#89730C2211yescharacteristic
100#89729C2211yescharacteristic
101#89729C2211yescharacteristic
102#89728C2211yescharacteristic
103#89728C2211yescharacteristic
104#89728C2211yescharacteristic
105#89728C2211yescharacteristic
106#89728C2211yescharacteristic
107#89728C2211yescharacteristic
108#89723C2211yescharacteristic
109#89723C2211yescharacteristic, complemented
110#89718C2211yescharacteristic
111#89718C2211yescharacteristic
112#89718C2211yescharacteristic, complemented
113#89718C2211yescharacteristic, complemented
114#89717C2211yescharacteristic
115#89717C2211yescharacteristic
116#89717C2211yescharacteristic
117#89717C2211yescharacteristic, complemented
118#89716C2211yescharacteristic
119#89716C2211yescharacteristic
120#89716C2211yescharacteristic
121#89716C2211yescharacteristic, complemented
122#89716C2211yescharacteristic, complemented
123#89716C2211yescharacteristic, complemented
124#89716C2211yescharacteristic, complemented
125#89716C2211yescharacteristic, complemented
126C22⋊C4×Dic7C2211yescharacteristic
127C22⋊C4×Dic7C2211yescharacteristic
128C22⋊C4×Dic7C2211yescharacteristic, complemented
129C22⋊C4×Dic7C2211yescharacteristic, complemented
130C22⋊C4×Dic7C2211yescharacteristic, complemented
131C22⋊C4×Dic7C2211yescharacteristic, complemented
132C22⋊C4×Dic7C2211yescharacteristic, complemented
133C22⋊C4×Dic7C2211yescharacteristic, complemented
134#89712C2211yescharacteristic
135C4×(C2×D7)⋊C4C2211yescharacteristic
136C4×(C2×D7)⋊C4C2211yescharacteristic
137C4×(C2×D7)⋊C4C2211yescharacteristic
138C4×(C2×D7)⋊C4C2211yescharacteristic
139C4×(C2×D7)⋊C4C2211yescharacteristic
140C4×(C2×D7)⋊C4C2211yescharacteristic
141C4×C4⋊Dic7C2211yescharacteristic, complemented
142#89705C2211yescharacteristic, complemented
143C4×Dic7⋊C4C2211yescharacteristic, complemented
144C4×Dic7⋊C4C2211yescharacteristic, complemented
145C4×Dic7⋊C4C2211yescharacteristic, complemented
146C4×Dic7⋊C4C2211yescharacteristic, complemented
147C42×Dic7C2211yescharacteristic, complemented
148#89442C2211yescharacteristic
149#89442C2211yescharacteristic
150#89442C2211yescharacteristic
151#89441C2211yescharacteristic
152#89441C2211yescharacteristic
153#89441C2211yescharacteristic
154#89440C2211yescharacteristic
155#89440C2211yescharacteristic
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic
158#89438C2211yescharacteristic
159#89438C2211yescharacteristic
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166D7×#95C2211yescharacteristic
167D7×#95C2211yescharacteristic
168#89427C2211yescharacteristic, complemented
169#89427C2211yescharacteristic, complemented
170#89427C2211yescharacteristic, complemented
171#89427C2211yescharacteristic, complemented
172#89426C2211yescharacteristic, complemented
173#89425C2211yescharacteristic, complemented
174#89424C2211yescharacteristic, complemented
175#89424C2211yescharacteristic, complemented
176#89424C2211yescharacteristic, complemented
177#89423C2211yescharacteristic, complemented
178#89422C2211yescharacteristic, complemented
179#89421C2211yescharacteristic, 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#34283—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
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×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C7×#121C2×C418yescomplemented
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊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×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C22⋊Dic7C2311yescharacteristic
235C2×C22⋊Dic7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248#6502C2×C418yescomplemented
249#6501C2×C418yescomplemented
250#6500C2×C418yescomplemented
251#6500C2×C418yescomplemented
252#6499C2×C418yescomplemented
253#6498C2×C418yescomplemented
254D4×Dic7—42no—
255D4×Dic7—42no—
256D4×Dic7—42no—
257#6492C2×C418yescomplemented
258C4×C22⋊D7—24no—
259C4×C22⋊D7—42no—
260C4×C22⋊D7C2×C418yescomplemented
261C2×(C2×D7)⋊C4—24no—
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×C4⋊Dic7C2311yescharacteristic
279C2×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×Dic7⋊C4C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
297C2×C4×Dic7—42no—
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
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320#6461C2×C418yescomplemented
321#6459C2×C418yescomplemented
322D7×C4⋊C4—42no—
323#6448C2×C418yescomplemented
324(C22⋊D7)⋊C4—24no—
325(C22⋊D7)⋊C4—24no—
326(C22⋊D7)⋊C4—24no—
327(C22⋊D7)⋊C4—42no—
328(C22⋊D7)⋊C4C2×C418yescomplemented
329D7×C22⋊C4—24no—
330D7×C22⋊C4—42no—
331D7×C22⋊C4—42no—
332D7×C22⋊C4C2×C418yescomplemented
333#6442C2×C418yescomplemented
334#6440—42no—
335C42×D7—42no—
336C4×Dic14—42no—
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7×#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C2×#538—71no—
378#2374—71no—
379#2373—71no—
380#2373—71no—
381#2372—71no—
382#2368—71no—
383#2367—71no—
384#2364—71no—
385#2364—71no—
386#2363—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2358—71no—
391#2358—71no—
392#2358—71no—
393#2358—71no—
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2333D711yescharacteristic, complemented
398#2318—71no—
399C4×#126—71no—
400C4×#124—71no—
401C4×#123—71no—
402C4×#121—71no—
403#2290—71no—
404C2×#388—71no—
405#2275—71no—
406#2273—71no—
407C42×D4—71no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C24×C7C2411yescharacteristic
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7C22×C414yes—
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—41no—
421C2×C7×D4—41no—
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×C7C22×C414yes—
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
449C22×C4×C7C2411yescharacteristic
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7C22×C414yes—
459C2×C22⋊D7C22×C414yes—
460C2×C22⋊D7C22×C414yes—
461C2×C22⋊D7C22×C414yes—
462C22×Dic7—22no—
463C22×Dic7—22no—
464C22×Dic7—22no—
465C22×Dic7—22no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7—41no—
476C22×Dic7C22×C414yes—
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7C22×C414yes—
514C2×C4×D7C22×C414yes—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14C22×C414yes—
518C7×C4⋊C4—41no—
519C7×C4⋊C4—41no—
520C7×C4⋊C4C22×C414yes—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4C22×C414yes—
532C7×C22⋊C4C22×C414yes—
533C42×C7—41no—
534C42×C7—41no—
535C42×C7—41no—
536C42×C7—41no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7C22×C414yes—
546C22⋊Dic7C22×C414yes—
547C22⋊Dic7C22×C414yes—
548C22⋊Dic7C22×C414yes—
549C22⋊Dic7C22×C414yes—
550C22⋊Dic7C22×C414yes—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4C22×C414yes—
560(C2×D7)⋊C4C22×C414yes—
561(C2×D7)⋊C4C22×C414yes—
562(C2×D7)⋊C4C22×C414yes—
563(C2×D7)⋊C4C22×C414yes—
564(C2×D7)⋊C4C22×C414yes—
565(C2×D7)⋊C4#4114yes—
566(C2×D7)⋊C4#4114yes—
567C4⋊Dic7—22no—
568C4⋊Dic7—22no—
569C4⋊Dic7—41no—
570C4⋊Dic7—41no—
571C4⋊Dic7C22×C414yes—
572Dic7⋊C4—22no—
573Dic7⋊C4—22no—
574Dic7⋊C4—22no—
575Dic7⋊C4—22no—
576Dic7⋊C4—22no—
577Dic7⋊C4—22no—
578Dic7⋊C4—41no—
579Dic7⋊C4—41no—
580Dic7⋊C4—41no—
581Dic7⋊C4—41no—
582Dic7⋊C4C22×C414yes—
583Dic7⋊C4C22×C414yes—
584Dic7⋊C4C22×C414yes—
585Dic7⋊C4C22×C414yes—
586C4×Dic7—22no—
587C4×Dic7—22no—
588C4×Dic7—22no—
589C4×Dic7—22no—
590C4×Dic7—22no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—41no—
595C4×Dic7—41no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7C22×C414yes—
607C4×Dic7C22×C414yes—
608#538—716no—
609C2×#126—71no—
610C2×#126—71no—
611C2×#124—71no—
612C2×#124—71no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×#121—71no—
617C2×#121—71no—
618C2×#121C2×D711yescharacteristic
619C2×#120—71no—
620C2×#120—71no—
621C2×C4×Q8—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4—71no—
632C2×C4×D4—71no—
633C2×#117—71no—
634C22×C4⋊C4—71no—
635C22×C22⋊C4—71no—
636C22×C22⋊C4—71no—
637C22×C22⋊C4—71no—
638C22×C22⋊C4—71no—
639C22×C22⋊C4—71no—
640C22×C42—71no—
641C22×C42—71no—
642#391—71no—
643#391—71no—
644#391—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390C2×D711yescharacteristic
649#390C2×D711yescharacteristic, complemented
650#389—71no—
651#389—71no—
652#389—71no—
653#389—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#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, complemented
678#387—71no—
679#387—71no—
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#387—71no—
688#387C2×D711yescharacteristic, complemented
689#387C2×D711yescharacteristic, complemented
690#386—71no—
691#386—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386C2×D711yescharacteristic
701#386C2×D711yescharacteristic
702#386C2×D711yescharacteristic
703#386C2×D711yescharacteristic, complemented
704#385—71no—
705#385—71no—
706#385—71no—
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385—71no—
713#385—71no—
714#383—71no—
715#382—71no—
716#381C2×D711yescharacteristic, complemented
717#380—71no—
718C4×C4⋊C4—71no—
719C4×C4⋊C4—71no—
720C4×C4⋊C4—71no—
721C4×C4⋊C4—71no—
722C4×C4⋊C4—71no—
723C4×C4⋊C4—71no—
724C4×C4⋊C4—71no—
725C4×C4⋊C4—71no—
726C4×C4⋊C4—71no—
727C4×C4⋊C4—71no—
728C4×C4⋊C4—71no—
729C4×C22⋊C4—71no—
730C4×C22⋊C4—71no—
731C4×C22⋊C4—71no—
732C4×C22⋊C4—71no—
733C4×C22⋊C4—71no—
734C4×C22⋊C4—71no—
735C4×C22⋊C4—71no—
736C4×C22⋊C4—71no—
737C4×C22⋊C4—71no—
738C4×C22⋊C4—71no—
739C4×C22⋊C4—71no—
740C4×C22⋊C4—71no—
741C4×C22⋊C4—71no—
742C4×C22⋊C4—71no—
743C4×C22⋊C4—71no—
744C4×C22⋊C4—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4C2×D711yescharacteristic
756C4×C22⋊C4C2×D711yescharacteristic, complemented
757C4×C22⋊C4C2×D711yescharacteristic, complemented
758#376—71no—
759#376—71no—
760C2×#95—71no—
761C2×#95—71no—
762C2×#95—71no—
763C43—71no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
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×C7C23×C412yes—
783C23×C7C23×C412yes—
784C23×C7C23×C412yes—
785C23×C7C2511yescharacteristic
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—28no—
797C22×D7—44no—
798C22×D7—44no—
799C22×D7—82no—
800C22×D7—82no—
801C22×D7—82no—
802C22×D7—82no—
803C22×D7C23×C412yes—
804C22×D7C23×C412yes—
805C22×D7C2×#4112yes—
806C22×D7C2×#4112yes—
807C7×D4—44no—
808C7×D4—44no—
809C7×D4—44no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—44no—
841C2×C4×C7—82no—
842C2×C4×C7—82no—
843C2×C4×C7C23×C412yes—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7C2×#4112yes—
849C22⋊D7—28no—
850C22⋊D7—28no—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C2×Dic7—21no—
854C2×Dic7—21no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—44no—
886C2×Dic7—44no—
887C2×Dic7—44no—
888C2×Dic7—82no—
889C2×Dic7—82no—
890C2×Dic7C23×C412yes—
891C2×Dic7C23×C412yes—
892C2×Dic7C23×C412yes—
893C2×Dic7C23×C412yes—
894C2×Dic7C23×C412yes—
895C2×Dic7C23×C412yes—
896C2×Dic7C2×#4112yes—
897C2×Dic7C2×#4112yes—
898C2×Dic7H(5,𝔽2)12yes—
899C2×Dic7H(5,𝔽2)12yes—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—82no—
905C4×D7—82no—
906C4×D7—82no—
907C4×D7—82no—
908Dic14—44no—
909C25—71no—
910C22×Q8—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4C22×D711yescharacteristic
916C22×D4C22×D711yescharacteristic
917C22×D4C22×D711yescharacteristic
918C23×C4—71no—
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4C22×D711yescharacteristic
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934#126—78no—
935#126—78no—
936#124—78no—
937#124—78no—
938#123—78no—
939#123—78no—
940C22⋊Q8—78no—
941#121—78no—
942#121—78no—
943#121C4×D718yescomplemented
944#120—78no—
945#120—78no—
946C4×Q8—282no—
947C4×D4—78no—
948C4×D4—78no—
949C4×D4—144no—
950C4×D4—144no—
951C4×D4—144no—
952C4×D4—144no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958#117—282no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—282no—
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C22⋊C4—71no—
983C2×C22⋊C4—71no—
984C2×C22⋊C4—71no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—78no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—144no—
1014C2×C22⋊C4—144no—
1015C2×C22⋊C4—282no—
1016C2×C22⋊C4—282no—
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—282no—
1052C2×C42—282no—
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7C24×C411yescharacteristic
1119C22×C7C22×#4111yescharacteristic
1120C22×C7C22×#4111yescharacteristic
1121C22×C7C2×H(5,𝔽2)11yescharacteristic
1122C22×C7C2×H(5,𝔽2)11yescharacteristic
1123C22×C7#58511yescharacteristic
1124C22×C7#58511yescharacteristic
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—22no—
1133C2×D7—22no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—88no—
1139C2×D7C4×#4114yes—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—22no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166C24—71no—
1167C24—71no—
1168C24—74no—
1169C24—142no—
1170C24—142no—
1171C24—281no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24C23×D711yescharacteristic
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—74no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—74no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4C2×C4×D714yes—
1200C2×D4C2×C4×D714yes—
1201C2×D4C2×C4×D714yes—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—71no—
1211C22×C4—71no—
1212C22×C4—71no—
1213C22×C4—71no—
1214C22×C4—71no—
1215C22×C4—71no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—74no—
1221C22×C4—74no—
1222C22×C4—74no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4C2×C4×D714yes—
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—74no—
1279C4⋊C4—74no—
1280C4⋊C4—74no—
1281C4⋊C4—74no—
1282C4⋊C4—74no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4C2×C4×D714yes—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—74no—
1309C22⋊C4—74no—
1310C22⋊C4—74no—
1311C22⋊C4—74no—
1312C22⋊C4—74no—
1313C22⋊C4—74no—
1314C22⋊C4—74no—
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—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4C2×C4×D714yes—
1339C22⋊C4C2×C4×D714yes—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—74no—
1345C42—74no—
1346C42—142no—
1347C42—142no—
1348C42—142no—
1349C42—142no—
1350C42—142no—
1351C42—142no—
1352C42—142no—
1353C42—142no—
1354C42—281no—
1355C42—281no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C2×C7—42no—
1367C2×C7—42no—
1368C2×C7—42no—
1369C2×C7C2×C4×#4111yescharacteristic
1370C2×C7C4×H(5,𝔽2)11yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7#351311yescharacteristic
1373C2×C7#351411yescharacteristic
1374C2×C7#351911yescharacteristic
1375C2×C7#352111yescharacteristic
1376D7—24no—
1377D7—42no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—72no—
1397C23—72no—
1398C23—72no—
1399C23—72no—
1400C23—148no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—284no—
1412C23—284no—
1413C23—562no—
1414C23—562no—
1415C23—562no—
1416C23—562no—
1417C23C22×C4×D712yes—
1418C23C22×C4×D712yes—
1419C23C22×C4×D712yes—
1420C23C24×D711yescharacteristic
1421Q8—284no—
1422D4—44no—
1423D4—44no—
1424D4—44no—
1425D4—148no—
1426D4—148no—
1427D4—284no—
1428D4—284no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—72no—
1461C2×C4—72no—
1462C2×C4—72no—
1463C2×C4—72no—
1464C2×C4—72no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—284no—
1505C2×C4—284no—
1506C2×C4—284no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—562no—
1512C2×C4—562no—
1513C2×C4—562no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4C22×C4×D712yes—
1521C2×C4D7×#4112yes—
1522C2×C4D7×#4112yes—
1523C7#3428311yescharacteristic, complemented, Sylow
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—74no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—568no—
1560C22C23×C4×D711yescharacteristic
1561C22C2×D7×#4111yescharacteristic
1562C22C2×D7×#4111yescharacteristic
1563C22D7×H(5,𝔽2)11yescharacteristic
1564C22D7×H(5,𝔽2)11yescharacteristic
1565C22#9061811yescharacteristic
1566C22#9061811yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—142no—
1580C4—142no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—142no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C2—42no—
1594C2—42no—
1595C2—42no—
1596C2—144no—
1597C2—282no—
1598C2C4×D7×#4111yescharacteristic
1599C2#1174292511yescharacteristic
1600C2#1174292511yescharacteristic
1601C2#1174346011yescharacteristic
1602C2#1174346111yescharacteristic
1603C2#1174355511yescharacteristic
1604C2#1174355611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2333C2
socle, cosocleC23×C7C25
prime radicalC2×#90304C2
hypercenter#2333D7
hypocenterC7#34283
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. C7×#2333C2semidirect
3. Dic7×#121C2semidirect
4. #11733878C2semidirect
5. #11733877C2semidirect
6. #11733752C2semidirect
7. #11733750C2semidirect
8. D7×#388C2semidirect
9. #11732916C2semidirect
10. #11732910C2semidirect
11. #11732894C2semidirect
12. #11732755C2semidirect
13. #11732419C2semidirect
14. #11732417C2semidirect
15. #11732410C2semidirect
16. #11732326C2semidirect
17. #11732325C2semidirect
18. #11732324C2semidirect
19. #11732324C2semidirect
20. #11732126C2semidirect
21. #11732125C2semidirect
22. #11732123C2semidirect
23. #11732120C2semidirect
24. #11731565C2semidirect
25. #11731497C2semidirect
26. #11731005C2semidirect
27. #11730896C2semidirect
28. C4×#6442C2semidirect
29. C4×#6448C2semidirect
30. #11730881C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
41. C2×D4×Dic7C22semidirect
47. C22×C4×Dic7C22semidirect
48. #90304C4semidirect
63. C2×#6440C22semidirect
65. C2×C4×Dic14C22semidirect
67. C7×#390C22semidirect
69. C7×#388C22semidirect
70. C7×#387C22semidirect
71. C7×#387C22semidirect
75. C7×#386C22semidirect
76. C7×#381C22semidirect
78. C4×C7×C22⋊C4C22semidirect
79. C4×C7×C22⋊C4C22semidirect
82. #89992C22semidirect
83. #89984C22semidirect
87. C4×C22⋊Dic7C22semidirect
88. C2×C7⋊#95C22semidirect
92. #89757C22semidirect
93. C4⋊C4×Dic7C22semidirect
94. C4⋊C4×Dic7C22semidirect
95. #89746C22semidirect
96. #89745C22semidirect
97. #89744C22semidirect
109. #89723C22semidirect
112. #89718C22semidirect
113. #89718C22semidirect
117. #89717C22semidirect
121. #89716C22semidirect
122. #89716C22semidirect
123. #89716C22semidirect
124. #89716C22semidirect
125. #89716C22semidirect
128. C22⋊C4×Dic7C22semidirect
129. C22⋊C4×Dic7C22semidirect
130. C22⋊C4×Dic7C22semidirect
131. C22⋊C4×Dic7C22semidirect
132. C22⋊C4×Dic7C22semidirect
133. C22⋊C4×Dic7C22semidirect
141. C4×C4⋊Dic7C22semidirect
142. #89705C22semidirect
143. C4×Dic7⋊C4C22semidirect
144. C4×Dic7⋊C4C22semidirect
145. C4×Dic7⋊C4C22semidirect
146. C4×Dic7⋊C4C22semidirect
147. C42×Dic7C22semidirect
168. #89427C22semidirect
169. #89427C22semidirect
170. #89427C22semidirect
171. #89427C22semidirect
172. #89426C22semidirect
173. #89425C22semidirect
174. #89424C22semidirect
175. #89424C22semidirect
176. #89424C22semidirect
177. #89423C22semidirect
178. #89422C22semidirect
179. #89421C22semidirect
180. #89421C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89420C22semidirect
184. #89420C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
214. C7×#121C2×C4semidirect
248. #6502C2×C4semidirect
249. #6501C2×C4semidirect
250. #6500C2×C4semidirect
251. #6500C2×C4semidirect
252. #6499C2×C4semidirect
253. #6498C2×C4semidirect
257. #6492C2×C4semidirect
260. C4×C22⋊D7C2×C4semidirect
320. #6461C2×C4semidirect
321. #6459C2×C4semidirect
323. #6448C2×C4semidirect
328. (C22⋊D7)⋊C4C2×C4semidirect
332. D7×C22⋊C4C2×C4semidirect
333. #6442C2×C4semidirect
397. #2333D7semidirect
649. #390C2×D7semidirect
677. #388C2×D7semidirect
688. #387C2×D7semidirect
689. #387C2×D7semidirect
703. #386C2×D7semidirect
716. #381C2×D7semidirect
756. C4×C22⋊C4C2×D7semidirect
757. C4×C22⋊C4C2×D7semidirect
943. #121C4×D7semidirect
1523. C7#34283semidirect

Maximal subgroups

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

subgroupindex
C2×#903042
C7×#23332
Dic7×#1212
#117338782
#117338772
#117337522
#117337502
D7×#3882
#117329162
#117329102
#117328942
#117327552
#117324192
#117324172
#117324102
#117323262
#117323252
#117323242
#117321262
#117321252
#117321232
#117321202
#117315652
#117314972
#117310052
#117308962
C4×#64422
C4×#64482
#117308812
C4×(C22⋊D7)⋊C42
#342837