Finite Group Databasebeta

← #13517348

Subgroups — #13517348

Order 1792.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90251C211yesmaximal, characteristic
2C7×#2353C211yesmaximal, characteristic, complemented
3D4×C4⋊Dic7C211yesmaximal, characteristic, complemented
4#11733274C211yesmaximal, characteristic, complemented
5#11732938C211yesmaximal, characteristic, complemented
6#11732927C211yesmaximal, characteristic, complemented
7#11732906C211yesmaximal, characteristic, complemented
8#11732757C211yesmaximal, characteristic, complemented
9#11732753C211yesmaximal, characteristic, complemented
10#11732400C211yesmaximal, characteristic, complemented
11#11732399C211yesmaximal, characteristic, complemented
12#11732320C211yesmaximal, characteristic, complemented
13#11732123C211yesmaximal, characteristic, complemented
14#11732121C211yesmaximal, characteristic, complemented
15#11732104C211yesmaximal, characteristic, complemented
16#11731744C211yesmaximal, characteristic, complemented
17#11731707C211yesmaximal, characteristic, complemented
18#11731569C211yesmaximal, characteristic, complemented
19#11731501C211yesmaximal, characteristic, complemented
20#11731449C211yesmaximal, characteristic, complemented
21#11731328C211yesmaximal, characteristic, complemented
22#11731014C211yesmaximal, characteristic, complemented
23C4×#6445C211yesmaximal, characteristic, complemented
24#11730919C211yesmaximal, characteristic, complemented
25#11730912C211yesmaximal, characteristic, complemented
26#11730911C211yesmaximal, characteristic, complemented
27#11730896C211yesmaximal, characteristic, complemented
28#11730841C211yesmaximal, characteristic, complemented
29#11730832C211yesmaximal, characteristic, complemented
30#11730814C211yesmaximal, characteristic, complemented
31C2×#89440C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×#6502C2211yescharacteristic
35C2×#6500C2211yescharacteristic
36C2×D4×Dic7C2211yescharacteristic
37C2×D4×Dic7C2211yescharacteristic
38C2×#6493C2211yescharacteristic
39C2×#6492C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C22×(C2×D7)⋊C4C2211yescharacteristic
44C22×(C2×D7)⋊C4C2211yescharacteristic
45C22×C4⋊Dic7C2211yescharacteristic
46C22×C4⋊Dic7C2211yescharacteristic, complemented
47C22×Dic7⋊C4C2211yescharacteristic
48#90251C4116yescomplemented
49C2×#6461C2211yescharacteristic
50C2×#6457C2211yescharacteristic
51C2×#6455C2211yescharacteristic, complemented
52C2×#6448C2211yescharacteristic
53C2×#6447C2211yescharacteristic
54C2×#6445C2211yescharacteristic
55C2×(C22⋊D7)⋊C4C2211yescharacteristic
56C2×(C22⋊D7)⋊C4C2211yescharacteristic
57C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
58C2×#6441C2211yescharacteristic
59C2×#6439C2211yescharacteristic
60C2×#6438C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic
62C2×C4×D28C2211yescharacteristic
63C2×C4×Dic14C2211yescharacteristic, complemented
64C7×#388C2211yescharacteristic, complemented
65C7×#388C2211yescharacteristic, complemented
66C7×#387C2211yescharacteristic, complemented
67C7×#387C2211yescharacteristic, complemented
68C7×#386C2211yescharacteristic
69C7×#386C2211yescharacteristic
70C7×#383C2211yescharacteristic, complemented
71C7×#381C2211yescharacteristic, complemented
72C7×#380C2211yescharacteristic
73C4×C7×C22⋊C4C2211yescharacteristic
74C4×C7×C22⋊C4C2211yescharacteristic
75C4×C7×C22⋊C4C2211yescharacteristic, complemented
76C7×#376C2211yescharacteristic, complemented
77C2×C7×#95C2211yescharacteristic
78#89984C2211yescharacteristic
79#89984C2211yescharacteristic, complemented
80#89982C2211yescharacteristic
81#89982C2211yescharacteristic
82C2×C7⋊#95C2211yescharacteristic
83#89762C2211yescharacteristic
84#89762C2211yescharacteristic
85#89762C2211yescharacteristic
86#89762C2211yescharacteristic
87#89759C2211yescharacteristic, complemented
88#89757C2211yescharacteristic, complemented
89#89757C2211yescharacteristic, complemented
90#89749C2211yescharacteristic, complemented
91C4⋊C4×Dic7C2211yescharacteristic, complemented
92#89730C2211yescharacteristic
93#89730C2211yescharacteristic
94#89730C2211yescharacteristic
95#89730C2211yescharacteristic
96#89730C2211yescharacteristic, complemented
97#89729C2211yescharacteristic
98#89729C2211yescharacteristic
99#89729C2211yescharacteristic, complemented
100#89728C2211yescharacteristic
101#89728C2211yescharacteristic
102#89728C2211yescharacteristic, complemented
103#89727C2211yescharacteristic
104#89727C2211yescharacteristic
105#89722C2211yescharacteristic
106#89722C2211yescharacteristic
107#89722C2211yescharacteristic, complemented
108#89722C2211yescharacteristic, complemented
109#89718C2211yescharacteristic, complemented
110#89717C2211yescharacteristic, complemented
111#89716C2211yescharacteristic, complemented
112C22⋊C4×Dic7C2211yescharacteristic
113C22⋊C4×Dic7C2211yescharacteristic
114C22⋊C4×Dic7C2211yescharacteristic
115C22⋊C4×Dic7C2211yescharacteristic
116C22⋊C4×Dic7C2211yescharacteristic, complemented
117#89712C2211yescharacteristic
118#89712C2211yescharacteristic
119#89711C2211yescharacteristic
120#89711C2211yescharacteristic
121C4×(C2×D7)⋊C4C2211yescharacteristic
122C4×(C2×D7)⋊C4C2211yescharacteristic
123#89707C2211yescharacteristic, complemented
124C4×C4⋊Dic7C2211yescharacteristic, complemented
125C4×C4⋊Dic7C2211yescharacteristic, complemented
126#89705C2211yescharacteristic, complemented
127#89705C2211yescharacteristic, complemented
128C4×Dic7⋊C4C2211yescharacteristic, complemented
129C4×Dic7⋊C4C2211yescharacteristic, complemented
130#89701C2211yescharacteristic, complemented
131#89700C2211yescharacteristic, complemented
132#89442C2211yescharacteristic
133#89442C2211yescharacteristic
134#89442C2211yescharacteristic
135#89442C2211yescharacteristic
136#89442C2211yescharacteristic
137#89442C2211yescharacteristic
138#89442C2211yescharacteristic
139#89442C2211yescharacteristic
140#89442C2211yescharacteristic, complemented
141#89442C2211yescharacteristic, complemented
142#89442C2211yescharacteristic, complemented
143#89441C2211yescharacteristic
144#89441C2211yescharacteristic
145#89441C2211yescharacteristic, complemented
146#89440C2211yescharacteristic
147#89440C2211yescharacteristic
148#89440C2211yescharacteristic
149#89440C2211yescharacteristic
150#89440C2211yescharacteristic
151#89440C2211yescharacteristic
152#89440C2211yescharacteristic
153#89440C2211yescharacteristic
154#89440C2211yescharacteristic
155#89440C2211yescharacteristic
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic
158#89440C2211yescharacteristic, complemented
159#89440C2211yescharacteristic, complemented
160#89440C2211yescharacteristic, complemented
161#89439C2211yescharacteristic, complemented
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic, complemented
165#89437C2211yescharacteristic
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169D7×#95C2211yescharacteristic, complemented
170#89427C2211yescharacteristic, complemented
171#89427C2211yescharacteristic, complemented
172#89427C2211yescharacteristic, complemented
173#89427C2211yescharacteristic, complemented
174#89427C2211yescharacteristic, complemented
175#89426C2211yescharacteristic, complemented
176#89426C2211yescharacteristic, complemented
177#89424C2211yescharacteristic, complemented
178#89422C2211yescharacteristic, complemented
179#89421C2211yescharacteristic, complemented
180#89421C2211yescharacteristic, complemented
181#89419C2211yescharacteristic, complemented
182#89419C2211yescharacteristic, complemented
183#89419C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34416—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×C4×D7—42no—
207C22×C4×D7—42no—
208C22×C4×D7—42no—
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C4×C7×D4C2×C418yescomplemented
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊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×C42×C7C2311yescharacteristic
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
240#6502C2×C418yescomplemented
241#6500C2×C418yescomplemented
242D4×Dic7—42no—
243D4×Dic7—42no—
244#6493C2×C418yescomplemented
245#6492C2×C418yescomplemented
246C4×C22⋊D7—42no—
247C4×C22⋊D7—42no—
248C4×C22⋊D7C2×C418yescomplemented
249C2×(C2×D7)⋊C4—42no—
250C2×(C2×D7)⋊C4C2×C418yescomplemented
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×C4⋊Dic7—42no—
280C2×C4⋊Dic7—42no—
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×Dic7⋊C4—42no—
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
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
322#6461C2×C418yescomplemented
323#6457C2×C418yescomplemented
324#6455—42no—
325#6448C2×C418yescomplemented
326#6447C2×C418yescomplemented
327#6445C2×C418yescomplemented
328(C22⋊D7)⋊C4—42no—
329(C22⋊D7)⋊C4—42no—
330(C22⋊D7)⋊C4—42no—
331#6441C2×C418yescomplemented
332#6439C2×C418yescomplemented
333#6438C2×C418yescomplemented
334C4×D28—42no—
335C4×D28—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#2383—71no—
379#2379—71no—
380#2377—71no—
381#2376—71no—
382#2373—71no—
383#2368—71no—
384#2367—71no—
385#2364—71no—
386#2361—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2353D711yescharacteristic, complemented
391#2352—71no—
392#2349—71no—
393D4×C4⋊C4—71no—
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2334—71no—
398#2326—71no—
399#2325—71no—
400#2324—71no—
401#2322—71no—
402#2321—71no—
403#2321—71no—
404#2312—71no—
405C4×#120—71no—
406C4×#120—71no—
407C2×#385—71no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7C22×C414yes—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—22no—
421C2×C7×D4—22no—
422C2×C7×D4C22×C414yes—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7C22×C414yes—
434C22×C4×C7C22×C414yescomplemented
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
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
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7C22×C414yes—
457C2×C22⋊D7C22×C414yes—
458C2×C22⋊D7C22×C414yes—
459C2×C22⋊D7C22×C414yescomplemented
460C22×Dic7—22no—
461C22×Dic7—22no—
462C22×Dic7—22no—
463C22×Dic7—22no—
464C22×Dic7—41no—
465C22×Dic7—41no—
466C22×Dic7—41no—
467C22×Dic7—41no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7C22×C414yes—
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28C22×C414yes—
493C2×D28C22×C414yes—
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—416no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7C22×C414yescomplemented
516C2×Dic14—41no—
517C2×Dic14—41no—
518C2×Dic14C22×C414yescomplemented
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4C22×C414yescomplemented
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⋊C4C22×C414yes—
529C7×C22⋊C4C22×C414yescomplemented
530C42×C7—22no—
531C42×C7—41no—
532C42×C7—41no—
533C42×C7—41no—
534C42×C7C22×C414yescomplemented
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—41no—
538C22⋊Dic7—41no—
539C22⋊Dic7C22×C414yes—
540C22⋊Dic7C22×C414yescomplemented
541(C2×D7)⋊C4—22no—
542(C2×D7)⋊C4—41no—
543(C2×D7)⋊C4—41no—
544(C2×D7)⋊C4—41no—
545(C2×D7)⋊C4—41no—
546(C2×D7)⋊C4—41no—
547(C2×D7)⋊C4—41no—
548(C2×D7)⋊C4—41no—
549(C2×D7)⋊C4—41no—
550(C2×D7)⋊C4—41no—
551(C2×D7)⋊C4—41no—
552(C2×D7)⋊C4—41no—
553(C2×D7)⋊C4—41no—
554(C2×D7)⋊C4—41no—
555(C2×D7)⋊C4—41no—
556(C2×D7)⋊C4—41no—
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)⋊C4C22×C414yes—
566(C2×D7)⋊C4C22×C414yes—
567(C2×D7)⋊C4C22×C414yescomplemented
568(C2×D7)⋊C4C22×C414yescomplemented
569C4⋊Dic7—22no—
570C4⋊Dic7—22no—
571C4⋊Dic7—22no—
572C4⋊Dic7—41no—
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575C4⋊Dic7—41no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581C4⋊Dic7C22×C414yescomplemented
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—22no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4C22×C414yescomplemented
593Dic7⋊C4C22×C414yescomplemented
594Dic7⋊C4C22×C414yescomplemented
595Dic7⋊C4C22×C414yescomplemented
596C4×Dic7—22no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7—41no—
608C4×Dic7C22×C414yescomplemented
609C24×C4—71no—
610#538—716no—
611C2×#126—71no—
612C2×#126—71no—
613C2×#124—71no—
614C2×#124—71no—
615C2×#123—71no—
616C2×#123—71no—
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#121—71no—
621C2×#120—71no—
622C2×#120—71no—
623C2×C4×Q8—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×C4×D4—71no—
634C2×C4×D4C2×D711yescharacteristic
635C2×#117—71no—
636C22×C4⋊C4—71no—
637C22×C4⋊C4—71no—
638C22×C4⋊C4—71no—
639C22×C22⋊C4—71no—
640C22×C22⋊C4—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#389—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#389—71no—
654#389—71no—
655#389—71no—
656#389—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#388—71no—
677#388—71no—
678#388—71no—
679#388C2×D711yescharacteristic, complemented
680#388C2×D711yescharacteristic, complemented
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#387C2×D711yescharacteristic, complemented
692#387C2×D711yescharacteristic, complemented
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386C2×D711yescharacteristic
706#386C2×D711yescharacteristic
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385—71no—
713#385—71no—
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#384—71no—
730#383C2×D711yescharacteristic, complemented
731#382—71no—
732#382—71no—
733#381C2×D711yescharacteristic, complemented
734#380—71no—
735#380—71no—
736#380—71no—
737#380—71no—
738#380C2×D711yescharacteristic
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊C4—71no—
747C4×C4⋊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⋊C4C2×D711yescharacteristic
759C4×C22⋊C4C2×D711yescharacteristic
760C4×C22⋊C4C2×D711yescharacteristic, complemented
761#376C2×D711yescharacteristic, complemented
762C2×#95—71no—
763C2×#95—71no—
764C2×#95C2×D711yescharacteristic
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×C7C23×C412yes—
776C23×C7C23×C412yes—
777C23×C7H(5,𝔽2)12yes—
778C23×C72−1+412yes—
779C23×C7C2511yescharacteristic
780C22×D7—28no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7C23×C412yes—
806C22×D7C23×C412yes—
807C22×D7C23×C412yes—
808C7×D4—28no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—44no—
843C2×C4×C7—44no—
844C2×C4×C7—44no—
845C2×C4×C7—82no—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C23×C412yes—
848C2×C4×C7C23×C412yes—
849C2×C4×C7C23×C412yes—
850C2×C4×C7C23×C412yes—
851C2×C4×C7H(5,𝔽2)12yes—
852C22⋊D7—28no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C22⋊D7—44no—
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—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—44no—
890C2×Dic7—44no—
891C2×Dic7—82no—
892C2×Dic7—82no—
893C2×Dic7—82no—
894C2×Dic7C23×C412yes—
895C2×Dic7C23×C412yes—
896C2×Dic7C23×C412yes—
897C2×Dic7C23×C412yes—
898C2×Dic7C23×C412yes—
899C2×Dic7H(5,𝔽2)12yes—
900D28—44no—
901D28—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—82no—
908C4×D7—82no—
909Dic14—44no—
910C25—71no—
911C22×Q8—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4C22×D711yescharacteristic
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—282no—
932C23×C4—282no—
933C23×C4—282no—
934C23×C4C22×D711yescharacteristic
935C23×C4C22×D711yescharacteristic
936C23×C4C22×D711yescharacteristic
937C23×C4C22×D711yescharacteristic
938#126—78no—
939#126—78no—
940#124—78no—
941#124—78no—
942#123—78no—
943#123—78no—
944C22⋊Q8—78no—
945#121—78no—
946#121—78no—
947#121—78no—
948#120—78no—
949#120—78no—
950C4×Q8—282no—
951C4×D4—78no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C4×D4—282no—
960C4×D4—282no—
961C4×D4C4×D718yescomplemented
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⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—282no—
991C2×C4⋊C4—282no—
992C2×C4⋊C4—282no—
993C2×C4⋊C4C22×D711yescharacteristic
994C2×C4⋊C4C22×D711yescharacteristic
995C2×C4⋊C4C22×D711yescharacteristic
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—78no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—282no—
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
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—71no—
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
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—22no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7#52014yes—
1112C22×C7C24×C411yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×2−1+411yescharacteristic
1117C22×C7#58511yescharacteristic
1118C22×C7#58511yescharacteristic
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—416no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C4×C7—22no—
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—
1153C4×C7—41no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167C24—71no—
1168C24—71no—
1169C24—71no—
1170C24—74no—
1171C24—142no—
1172C24—142no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24—281no—
1177C24C23×D711yescharacteristic
1178C24C23×D711yescharacteristic
1179C2×Q8—74no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—281no—
1193C2×D4—281no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4C2×C4×D714yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—71no—
1214C22×C4—71no—
1215C22×C4—71no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—74no—
1220C22×C4—74no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
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—281no—
1238C22×C4—281no—
1239C22×C4—281no—
1240C22×C4—281no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—2816no—
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×C4C2×C4×D714yescomplemented
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
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—74no—
1281C4⋊C4—74no—
1282C4⋊C4—74no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
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⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C4⋊C4C2×C4×D714yescomplemented
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
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—74no—
1323C22⋊C4—74no—
1324C22⋊C4—74no—
1325C22⋊C4—74no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4C2×C4×D714yes—
1349C22⋊C4C2×C4×D714yescomplemented
1350C42—22no—
1351C42—41no—
1352C42—41no—
1353C42—41no—
1354C42—74no—
1355C42—142no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42C2×C4×D714yescomplemented
1368C2×C7—24no—
1369C2×C7—42no—
1370C2×C7C2×#52011yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7C4×H(5,𝔽2)11yescharacteristic
1373C2×C7#353211yescharacteristic
1374C2×C7#353311yescharacteristic
1375C2×C7#354111yescharacteristic
1376C2×C7#354111yescharacteristic
1377D7—42no—
1378D7—42no—
1379D7—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—72no—
1391C23—72no—
1392C23—72no—
1393C23—148no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—284no—
1413C23—284no—
1414C23—284no—
1415C23—284no—
1416C23—284no—
1417C23—284no—
1418C23C22×C4×D712yes—
1419C23C22×C4×D712yes—
1420C23#655312yes—
1421C23#655412yes—
1422C23C24×D711yescharacteristic
1423Q8—284no—
1424D4—28no—
1425D4—148no—
1426D4—284no—
1427D4—284no—
1428D4—284no—
1429D4—284no—
1430D4—284no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—72no—
1471C2×C4—72no—
1472C2×C4—72no—
1473C2×C4—82no—
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—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—284no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C2×C4—562no—
1519C2×C4C22×C4×D712yes—
1520C2×C4C22×C4×D712yes—
1521C2×C4C22×C4×D712yes—
1522C2×C4C22×C4×D712yes—
1523C2×C4C22×C4×D712yes—
1524C2×C4#655312yes—
1525C7#3441611yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—2816no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22#9021414yes—
1562C22C23×C4×D711yescharacteristic
1563C22C2×#655311yescharacteristic
1564C22C2×#655311yescharacteristic
1565C22C2×#655411yescharacteristic
1566C22#9061611yescharacteristic
1567C22D7×H(5,𝔽2)11yescharacteristic
1568C22#9061811yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—281no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C2—24no—
1596C2—42no—
1597C2—282no—
1598C2—282no—
1599C2—282no—
1600C2C2×#9021411yescharacteristic
1601C2C4×#655311yescharacteristic
1602C2#1174292511yescharacteristic
1603C2#1174388611yescharacteristic
1604C2#1174388711yescharacteristic
1605C2#1174396111yescharacteristic
1606C2#1174396211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2353C2
socle, cosocleC23×C7C25
prime radicalC2×#90251C2
hypercenter#2353D7
hypocenterC7#34416
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2353

Complements

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

NH ≅ G/Ntype
2. C7×#2353C2semidirect
3. D4×C4⋊Dic7C2semidirect
4. #11733274C2semidirect
5. #11732938C2semidirect
6. #11732927C2semidirect
7. #11732906C2semidirect
8. #11732757C2semidirect
9. #11732753C2semidirect
10. #11732400C2semidirect
11. #11732399C2semidirect
12. #11732320C2semidirect
13. #11732123C2semidirect
14. #11732121C2semidirect
15. #11732104C2semidirect
16. #11731744C2semidirect
17. #11731707C2semidirect
18. #11731569C2semidirect
19. #11731501C2semidirect
20. #11731449C2semidirect
21. #11731328C2semidirect
22. #11731014C2semidirect
23. C4×#6445C2semidirect
24. #11730919C2semidirect
25. #11730912C2semidirect
26. #11730911C2semidirect
27. #11730896C2semidirect
28. #11730841C2semidirect
29. #11730832C2semidirect
30. #11730814C2semidirect
31. C2×#89440C2semidirect
46. C22×C4⋊Dic7C22semidirect
48. #90251C4semidirect
51. C2×#6455C22semidirect
57. C2×(C22⋊D7)⋊C4C22semidirect
63. C2×C4×Dic14C22semidirect
64. C7×#388C22semidirect
65. C7×#388C22semidirect
66. C7×#387C22semidirect
67. C7×#387C22semidirect
70. C7×#383C22semidirect
71. C7×#381C22semidirect
75. C4×C7×C22⋊C4C22semidirect
76. C7×#376C22semidirect
79. #89984C22semidirect
87. #89759C22semidirect
88. #89757C22semidirect
89. #89757C22semidirect
90. #89749C22semidirect
91. C4⋊C4×Dic7C22semidirect
96. #89730C22semidirect
99. #89729C22semidirect
102. #89728C22semidirect
107. #89722C22semidirect
108. #89722C22semidirect
109. #89718C22semidirect
110. #89717C22semidirect
111. #89716C22semidirect
116. C22⋊C4×Dic7C22semidirect
123. #89707C22semidirect
124. C4×C4⋊Dic7C22semidirect
125. C4×C4⋊Dic7C22semidirect
126. #89705C22semidirect
127. #89705C22semidirect
128. C4×Dic7⋊C4C22semidirect
129. C4×Dic7⋊C4C22semidirect
130. #89701C22semidirect
131. #89700C22semidirect
140. #89442C22semidirect
141. #89442C22semidirect
142. #89442C22semidirect
145. #89441C22semidirect
158. #89440C22semidirect
159. #89440C22semidirect
160. #89440C22semidirect
161. #89439C22semidirect
164. #89438C22semidirect
169. D7×#95C22semidirect
170. #89427C22semidirect
171. #89427C22semidirect
172. #89427C22semidirect
173. #89427C22semidirect
174. #89427C22semidirect
175. #89426C22semidirect
176. #89426C22semidirect
177. #89424C22semidirect
178. #89422C22semidirect
179. #89421C22semidirect
180. #89421C22semidirect
181. #89419C22semidirect
182. #89419C22semidirect
183. #89419C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
217. C4×C7×D4C2×C4semidirect
240. #6502C2×C4semidirect
241. #6500C2×C4semidirect
244. #6493C2×C4semidirect
245. #6492C2×C4semidirect
248. C4×C22⋊D7C2×C4semidirect
250. C2×(C2×D7)⋊C4C2×C4semidirect
322. #6461C2×C4semidirect
323. #6457C2×C4semidirect
325. #6448C2×C4semidirect
326. #6447C2×C4semidirect
327. #6445C2×C4semidirect
331. #6441C2×C4semidirect
332. #6439C2×C4semidirect
333. #6438C2×C4semidirect
390. #2353D7semidirect
434. C22×C4×C7C22×C4semidirect
459. C2×C22⋊D7C22×C4semidirect
515. C2×C4×D7C22×C4semidirect
518. C2×Dic14C22×C4semidirect
521. C7×C4⋊C4C22×C4semidirect
529. C7×C22⋊C4C22×C4semidirect
534. C42×C7C22×C4semidirect
540. C22⋊Dic7C22×C4semidirect
567. (C2×D7)⋊C4C22×C4semidirect
568. (C2×D7)⋊C4C22×C4semidirect
581. C4⋊Dic7C22×C4semidirect
592. Dic7⋊C4C22×C4semidirect
593. Dic7⋊C4C22×C4semidirect
594. Dic7⋊C4C22×C4semidirect
595. Dic7⋊C4C22×C4semidirect
608. C4×Dic7C22×C4semidirect
679. #388C2×D7semidirect
680. #388C2×D7semidirect
691. #387C2×D7semidirect
692. #387C2×D7semidirect
730. #383C2×D7semidirect
733. #381C2×D7semidirect
760. C4×C22⋊C4C2×D7semidirect
761. #376C2×D7semidirect
961. C4×D4C4×D7semidirect
1264. C22×C4C2×C4×D7semidirect
1307. C4⋊C4C2×C4×D7semidirect
1349. C22⋊C4C2×C4×D7semidirect
1367. C42C2×C4×D7semidirect
1525. C7#34416semidirect

Maximal subgroups

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

subgroupindex
C2×#902512
C7×#23532
D4×C4⋊Dic72
#117332742
#117329382
#117329272
#117329062
#117327572
#117327532
#117324002
#117323992
#117323202
#117321232
#117321212
#117321042
#117317442
#117317072
#117315692
#117315012
#117314492
#117313282
#117310142
C4×#64452
#117309192
#117309122
#117309112
#117308962
#117308412
#117308322
#117308142
C2×#894402
#344167