Finite Group Databasebeta

← #13560740

Subgroups — #13560740

Order 1792.

2406 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90348C211yesmaximal, characteristic
2C2×D7×C22⋊Q8C211yesmaximal, characteristic, complemented
3C7×#2680C211yesmaximal, characteristic, complemented
4#11740357C211yesmaximal, characteristic, complemented
5#11740317C211yesmaximal, characteristic, complemented
6#11740316C211yesmaximal, characteristic, complemented
7#11740274C211yesmaximal, characteristic, complemented
8#11740245C211yesmaximal, characteristic, complemented
9#11740196C211yesmaximal, characteristic, complemented
10#11735422C211yesmaximal, characteristic, complemented
11#11735414C211yesmaximal, characteristic, complemented
12#11735406C211yesmaximal, characteristic, complemented
13#11735405C211yesmaximal, characteristic, complemented
14#11735142C211yesmaximal, characteristic, complemented
15#11735130C211yesmaximal, characteristic, complemented
16#11735024C211yesmaximal, characteristic, complemented
17#11734937C211yesmaximal, characteristic, complemented
18#11734711C211yesmaximal, characteristic, complemented
19#11734617C211yesmaximal, characteristic, complemented
20#11734570C211yesmaximal, characteristic, complemented
21#11734450C211yesmaximal, characteristic, complemented
22#11733370C211yesmaximal, characteristic, complemented
23#11733339C211yesmaximal, characteristic, complemented
24#11733270C211yesmaximal, characteristic, complemented
25#11733124C211yesmaximal, characteristic, complemented
26#11732101C211yesmaximal, characteristic, complemented
27#11732077C211yesmaximal, characteristic, complemented
28#11732061C211yesmaximal, characteristic, complemented
29#11731966C211yesmaximal, characteristic, complemented
30#11731816C211yesmaximal, characteristic, complemented
31#11731774C211yesmaximal, characteristic, complemented
32C22×Q8×D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×#123C2211yescharacteristic
35C2×C7×#123C2211yescharacteristic
36C2×C7×C22⋊Q8C2211yescharacteristic
37C2×C7×C22⋊Q8C2211yescharacteristic, complemented
38C2×#6509C2211yescharacteristic
39C2×#6501C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×#6498C2211yescharacteristic
42C2×#6493C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×#6487C2211yescharacteristic
45C2×#6487C2211yescharacteristic, complemented
46#90348—28no—
47D7×C22⋊Q8—28no—
48C2×#6461C2211yescharacteristic
49C2×#6460C2211yescharacteristic
50C2×#6460C2211yescharacteristic
51C2×#6459C2211yescharacteristic
52C2×#6459C2211yescharacteristic
53C2×#6459C2211yescharacteristic, complemented
54C2×#6459C2211yescharacteristic, complemented
55C2×#6457C2211yescharacteristic
56C2×#6457C2211yescharacteristic
57C2×#6457C2211yescharacteristic
58C2×#6456C2211yescharacteristic
59C2×D7×C4⋊C4C2211yescharacteristic
60C2×D7×C4⋊C4C2211yescharacteristic
61C2×D7×C4⋊C4C2211yescharacteristic
62C2×#6448C2211yescharacteristic
63C2×#6448C2211yescharacteristic
64C2×#6447C2211yescharacteristic
65C2×#6445C2211yescharacteristic
66C2×D7×C22⋊C4C2211yescharacteristic
67C2×D7×C22⋊C4C2211yescharacteristic
68C2×#6442C2211yescharacteristic
69C2×#6441C2211yescharacteristic
70C2×#6441C2211yescharacteristic
71C7×#398C2211yescharacteristic, complemented
72C7×#398C2211yescharacteristic, complemented
73C7×#397C2211yescharacteristic
74C7×#397C2211yescharacteristic, complemented
75C7×#395C2211yescharacteristic, complemented
76C7×#394C2211yescharacteristic
77C7×#388C2211yescharacteristic
78C7×#388C2211yescharacteristic, complemented
79C7×#385C2211yescharacteristic
80C7×#385C2211yescharacteristic, complemented
81C7×#384C2211yescharacteristic, complemented
82#90003C2211yescharacteristic, complemented
83#90002C2211yescharacteristic, complemented
84#89994C2211yescharacteristic
85#89985C2211yescharacteristic
86#89983C2211yescharacteristic
87#89982C2211yescharacteristic, complemented
88#89766C2211yescharacteristic, complemented
89#89766C2211yescharacteristic, complemented
90#89765C2211yescharacteristic
91#89765C2211yescharacteristic, complemented
92#89763C2211yescharacteristic
93#89762C2211yescharacteristic
94#89762C2211yescharacteristic, complemented
95#89761C2211yescharacteristic
96#89761C2211yescharacteristic
97#89761C2211yescharacteristic
98#89761C2211yescharacteristic
99#89761C2211yescharacteristic
100#89761C2211yescharacteristic
101#89761C2211yescharacteristic
102#89761C2211yescharacteristic
103#89761C2211yescharacteristic, complemented
104#89759C2211yescharacteristic
105#89757C2211yescharacteristic, complemented
106#89757C2211yescharacteristic, complemented
107#89756C2211yescharacteristic, complemented
108#89756C2211yescharacteristic, complemented
109#89756C2211yescharacteristic, complemented
110#89756C2211yescharacteristic, complemented
111#89756C2211yescharacteristic, complemented
112#89752C2211yescharacteristic, complemented
113#89752C2211yescharacteristic, complemented
114#89751C2211yescharacteristic, complemented
115#89751C2211yescharacteristic, complemented
116#89751C2211yescharacteristic, complemented
117#89751C2211yescharacteristic, complemented
118#89750C2211yescharacteristic, complemented
119#89748C2211yescharacteristic, complemented
120#89746C2211yescharacteristic, complemented
121#89746C2211yescharacteristic, complemented
122#89733C2211yescharacteristic
123#89733C2211yescharacteristic
124#89733C2211yescharacteristic, complemented
125#89731C2211yescharacteristic
126#89731C2211yescharacteristic
127#89731C2211yescharacteristic, complemented
128#89730C2211yescharacteristic
129#89729C2211yescharacteristic, complemented
130#89729C2211yescharacteristic, complemented
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic
133#89728C2211yescharacteristic
134#89728C2211yescharacteristic
135#89728C2211yescharacteristic
136#89728C2211yescharacteristic
137#89727C2211yescharacteristic
138#89727C2211yescharacteristic
139#89725C2211yescharacteristic
140#89725C2211yescharacteristic, complemented
141#89724C2211yescharacteristic
142#89724C2211yescharacteristic
143#89723C2211yescharacteristic
144#89720C2211yescharacteristic, complemented
145#89720C2211yescharacteristic, complemented
146#89719C2211yescharacteristic, complemented
147#89719C2211yescharacteristic, complemented
148#89718C2211yescharacteristic
149#89717C2211yescharacteristic
150#89717C2211yescharacteristic, complemented
151#89716C2211yescharacteristic
152#89715C2211yescharacteristic
153#89712C2211yescharacteristic
154#89712C2211yescharacteristic, complemented
155C4×(C2×D7)⋊C4C2211yescharacteristic
156#89701C2211yescharacteristic, complemented
157#89447C2211yescharacteristic
158#89447C2211yescharacteristic
159#89446C2211yescharacteristic
160#89446C2211yescharacteristic, complemented
161#89445C2211yescharacteristic, complemented
162#89444C2211yescharacteristic
163#89442C2211yescharacteristic
164#89441C2211yescharacteristic
165#89440C2211yescharacteristic
166#89440C2211yescharacteristic
167#89440C2211yescharacteristic, complemented
168#89439C2211yescharacteristic
169#89438C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89436C2211yescharacteristic
175#89436C2211yescharacteristic
176#89432C2211yescharacteristic, complemented
177#89430C2211yescharacteristic, complemented
178#89429C2211yescharacteristic, complemented
179#89428C2211yescharacteristic, complemented
180#89427C2211yescharacteristic, complemented
181#89426C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89422C2211yescharacteristic, complemented
184#89422C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36716—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C2×Q8×D7—24no—
201C2×Q8×D7—42no—
202C2×Q8×D7—42no—
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×C4×D7—24no—
206C22×C4×D7—42no—
207C22×C4×D7—42no—
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×Dic14C2311yescharacteristic
218C22×Dic14C2311yescharacteristic
219C22×Dic14C2311yescharacteristic
220C22×Dic14C2311yescharacteristic
221C7×#123—24no—
222C7×#123—42no—
223C7×C22⋊Q8—24no—
224C7×C22⋊Q8—42no—
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C42×C7C2311yescharacteristic
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
258#6509—24no—
259#6501—24no—
260#6500—24no—
261#6498—42no—
262#6493—24no—
263C4×C22⋊D7—24no—
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×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298#6487—24no—
299#6487—42no—
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×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323#6461—24no—
324#6460—24no—
325#6460—24no—
326#6459—24no—
327#6459—24no—
328#6459—42no—
329#6459—42no—
330#6457—24no—
331#6457—42no—
332#6457—42no—
333#6456—24no—
334D7×C4⋊C4—24no—
335D7×C4⋊C4—24no—
336D7×C4⋊C4—24no—
337#6448—24no—
338#6448—24no—
339#6447—24no—
340#6445—24no—
341D7×C22⋊C4—24no—
342D7×C22⋊C4D418yes—
343#6442—24no—
344#6441—24no—
345#6441—24no—
346C7×#95C2311yescharacteristic
347C7×#95C2311yescharacteristic
348C7×#95C2311yescharacteristic
349C7×#95C2311yescharacteristic
350C7×#95C2311yescharacteristic
351C7×#95C2311yescharacteristic
352C7×#95C2311yescharacteristic
353C7×#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#538—71no—
387C22×C22⋊Q8—71no—
388#2849—71no—
389#2849—71no—
390#2700—71no—
391#2700—71no—
392#2700—71no—
393#2700—71no—
394#2698—71no—
395#2698—71no—
396#2698—71no—
397#2698—71no—
398#2681—71no—
399#2681—71no—
400#2681—71no—
401#2681—71no—
402#2680—71no—
403#2680—71no—
404#2680—71no—
405#2680D711yescharacteristic, complemented
406#2622—71no—
407#2622—71no—
408#2591—71no—
409#2583—71no—
410#2579—71no—
411#2579—71no—
412#2504—71no—
413#2502—71no—
414#2409—71no—
415#2409—71no—
416#2312—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—41no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7C2×D414yes—
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C2×C7×Q8—22no—
430C2×C7×Q8—22no—
431C2×C7×Q8—41no—
432C2×C7×D4—22no—
433C2×C7×D4—41no—
434C2×C7×D4—41no—
435C22×C4×C7—22no—
436C22×C4×C7—22no—
437C22×C4×C7—22no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
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
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—41no—
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482Q8×D7—416no—
483C2×D28—22no—
484C2×D28—22no—
485C2×D28—22no—
486C2×D28—22no—
487C2×D28—41no—
488C2×D28—41no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
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—22no—
500C2×C4×D7—416no—
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×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7C2×D414yes—
516C2×C4×D7C2×D414yes—
517C2×Dic14—22no—
518C2×Dic14—22no—
519C2×Dic14—22no—
520C2×Dic14—22no—
521C2×Dic14—22no—
522C2×Dic14—22no—
523C2×Dic14—22no—
524C2×Dic14—41no—
525C2×Dic14—41no—
526C2×Dic14—41no—
527C2×Dic14—41no—
528C2×Dic14—41no—
529C7×C4⋊C4—22no—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—22no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—22no—
535C7×C4⋊C4—22no—
536C7×C4⋊C4—41no—
537C7×C4⋊C4—41no—
538C7×C4⋊C4—41no—
539C7×C4⋊C4—41no—
540C7×C4⋊C4—41no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—22no—
543C7×C22⋊C4—22no—
544C7×C22⋊C4—22no—
545C7×C22⋊C4—41no—
546C7×C22⋊C4—41no—
547C7×C22⋊C4—41no—
548C7×C22⋊C4—41no—
549C7×C22⋊C4—41no—
550C7×C22⋊C4C2×D414yes—
551C42×C7—41no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—41no—
557C22⋊Dic7—41no—
558C22⋊Dic7—41no—
559C22⋊Dic7—41no—
560C22⋊Dic7—41no—
561C22⋊Dic7C2×D414yes—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4C2×D414yes—
587(C2×D7)⋊C4C2×D414yes—
588C4⋊Dic7—22no—
589C4⋊Dic7—22no—
590C4⋊Dic7—22no—
591C4⋊Dic7—22no—
592C4⋊Dic7—22no—
593C4⋊Dic7—41no—
594C4⋊Dic7—41no—
595C4⋊Dic7—41no—
596Dic7⋊C4—22no—
597Dic7⋊C4—22no—
598Dic7⋊C4—22no—
599Dic7⋊C4—22no—
600Dic7⋊C4—22no—
601Dic7⋊C4—22no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—41no—
607Dic7⋊C4—41no—
608Dic7⋊C4—41no—
609Dic7⋊C4—41no—
610Dic7⋊C4—41no—
611Dic7⋊C4—41no—
612Dic7⋊C4—41no—
613Dic7⋊C4—41no—
614C4×Dic7—22no—
615C4×Dic7—22no—
616C4×Dic7—41no—
617C4×Dic7—41no—
618C4×Dic7—41no—
619C23×Q8—71no—
620C24×C4—71no—
621#538—148no—
622C2×#126—71no—
623C2×#126—71no—
624C2×#124—71no—
625C2×#124—71no—
626C2×#123—71no—
627C2×#123—71no—
628C2×#123—71no—
629C2×#123—71no—
630C2×#123C2×D711yescharacteristic
631C2×#123C2×D711yescharacteristic
632C2×C22⋊Q8—71no—
633C2×C22⋊Q8—71no—
634C2×C22⋊Q8—71no—
635C2×C22⋊Q8—71no—
636C2×C22⋊Q8—71no—
637C2×C22⋊Q8—71no—
638C2×C22⋊Q8—71no—
639C2×C22⋊Q8—71no—
640C2×C22⋊Q8—71no—
641C2×C22⋊Q8—71no—
642C2×C22⋊Q8—71no—
643C2×C22⋊Q8—148no—
644C2×C22⋊Q8C2×D711yescharacteristic
645C2×C22⋊Q8C2×D711yescharacteristic, complemented
646C2×#121—71no—
647C2×#121—71no—
648C2×#121—71no—
649C2×#120—71no—
650C2×#120—71no—
651C2×C4×D4—71no—
652C2×C4×D4—71no—
653C22×C4⋊C4—71no—
654C22×C4⋊C4—71no—
655C22×C4⋊C4—71no—
656C22×C22⋊C4—71no—
657C22×C22⋊C4—71no—
658#400—71no—
659#400—71no—
660#398—71no—
661#398—71no—
662#398—71no—
663#398—71no—
664#398—71no—
665#398—71no—
666#398—71no—
667#398—71no—
668#398C2×D711yescharacteristic, complemented
669#398C2×D711yescharacteristic, complemented
670#397—71no—
671#397—71no—
672#397—71no—
673#397—71no—
674#397—71no—
675#397—71no—
676#397—71no—
677#397—71no—
678#397—71no—
679#397—71no—
680#397C2×D711yescharacteristic
681#397C2×D711yescharacteristic, complemented
682#396—71no—
683#396—71no—
684#396—71no—
685#396—71no—
686#395—71no—
687#395—71no—
688#395—71no—
689#395—71no—
690#395—71no—
691#395C2×D711yescharacteristic, complemented
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#394—71no—
697#394—71no—
698#394—71no—
699#394—71no—
700#394—71no—
701#394C2×D711yescharacteristic
702#393—71no—
703#393—71no—
704#393—71no—
705#393—71no—
706#391—71no—
707#391—71no—
708#391—71no—
709#391—71no—
710#391—71no—
711#391—71no—
712#390—71no—
713#390—71no—
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388C2×D711yescharacteristic
729#388C2×D711yescharacteristic, complemented
730#387—71no—
731#387—71no—
732#387—71no—
733#387—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#385—71no—
747#385—71no—
748#385—71no—
749#385—71no—
750#385—71no—
751#385—71no—
752#385—71no—
753#385—71no—
754#385—71no—
755#385—71no—
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385C2×D711yescharacteristic
761#385C2×D711yescharacteristic, complemented
762#384—71no—
763#384C2×D711yescharacteristic, complemented
764#382—71no—
765#382—71no—
766#381—71no—
767#381—71no—
768#381—71no—
769#381—71no—
770#380—71no—
771#380—71no—
772#379—71no—
773#379—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
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×C7C22×D412yes—
790C23×C7C2511yescharacteristic
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—21no—
800C22×D7—21no—
801C22×D7—28no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—44no—
810C22×D7—44no—
811C22×D7—44no—
812C22×D7—44no—
813C22×D7—44no—
814C22×D7—44no—
815C22×D7C22×D412yes—
816C22×D7C22×D412yes—
817C22×D72−1+412yes—
818C22×D72−1+412yes—
819C7×Q8—44no—
820C7×D4—82no—
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—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—44no—
858C2×C4×C7—82no—
859C2×C4×C7C22×D412yes—
860C2×C4×C7C22×D412yes—
861C2×C4×C7H(5,𝔽2)12yes—
862C22⋊D7—44no—
863C22⋊D7—82no—
864C22⋊D7—82no—
865C22⋊D7—82no—
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—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—44no—
903C2×Dic7C22×D412yes—
904C2×Dic7C22×D412yes—
905C2×Dic7H(5,𝔽2)12yes—
906D28—44no—
907D28—82no—
908C4×D7—28no—
909C4×D7—44no—
910C4×D7—44no—
911C4×D7—44no—
912C4×D7—44no—
913C4×D7—44no—
914C4×D7—44no—
915C4×D7—44no—
916C4×D7—82no—
917Dic14—44no—
918Dic14—44no—
919Dic14—44no—
920Dic14—82no—
921C25—71no—
922C22×Q8—71no—
923C22×Q8—71no—
924C22×Q8—71no—
925C22×Q8—71no—
926C22×Q8—144no—
927C22×Q8—282no—
928C22×Q8—282no—
929C22×Q8C22×D711yescharacteristic
930C22×D4—71no—
931C22×D4—71no—
932C22×D4—71no—
933C22×D4—71no—
934C22×D4—71no—
935C22×D4—71no—
936C22×D4C22×D711yescharacteristic
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4—71no—
941C23×C4—71no—
942C23×C4—71no—
943C23×C4—71no—
944C23×C4—71no—
945C23×C4—71no—
946C23×C4—71no—
947C23×C4—144no—
948C23×C4—282no—
949C23×C4—282no—
950C23×C4C22×D711yescharacteristic
951C23×C4C22×D711yescharacteristic
952#126—144no—
953#126—144no—
954#124—144no—
955#124—144no—
956#123—24no—
957#123—42no—
958#123—144no—
959#123—282no—
960#123—282no—
961#123—282no—
962C22⋊Q8—24no—
963C22⋊Q8—42no—
964C22⋊Q8—144no—
965C22⋊Q8—144no—
966C22⋊Q8—144no—
967C22⋊Q8—144no—
968C22⋊Q8—144no—
969C22⋊Q8—144no—
970C22⋊Q8—144no—
971C22⋊Q8—144no—
972C22⋊Q8—282no—
973C22⋊Q8—282no—
974C22⋊Q8—282no—
975#121—144no—
976#121—144no—
977#121—144no—
978#120—144no—
979#120—144no—
980C4×D4—144no—
981C4×D4—144no—
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—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—144no—
1009C2×C4⋊C4—144no—
1010C2×C4⋊C4—144no—
1011C2×C4⋊C4C22×D711yescharacteristic
1012C2×C4⋊C4C22×D711yescharacteristic
1013C2×C4⋊C4C22×D711yescharacteristic
1014C2×C4⋊C4C22×D711yescharacteristic
1015C2×C4⋊C4C22×D711yescharacteristic
1016C2×C4⋊C4C22×D711yescharacteristic
1017C2×C4⋊C4C22×D711yescharacteristic
1018C2×C4⋊C4C22×D711yescharacteristic
1019C2×C4⋊C4C22×D711yescharacteristic
1020C2×C4⋊C4C22×D711yescharacteristic
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—78no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—144no—
1061C2×C22⋊C4C22×D711yescharacteristic
1062C2×C22⋊C4C22×D711yescharacteristic
1063C2×C22⋊C4C22×D711yescharacteristic
1064C2×C22⋊C4C22×D711yescharacteristic
1065C2×C22⋊C4C22×D711yescharacteristic
1066C2×C22⋊C4C22×D711yescharacteristic
1067C2×C22⋊C4C22×D711yescharacteristic
1068C2×C22⋊C4C22×D711yescharacteristic
1069C2×C22⋊C4C22×D711yescharacteristic
1070C2×C22⋊C4C22×D711yescharacteristic
1071C2×C42—71no—
1072C2×C42—71no—
1073C2×C42—71no—
1074C2×C42—71no—
1075C2×C42—71no—
1076C2×C42C22×D711yescharacteristic
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#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112#95C22×D711yescharacteristic
1113#95C22×D711yescharacteristic
1114#95C22×D711yescharacteristic
1115#95C22×D711yescharacteristic
1116#95C22×D711yescharacteristic
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7—41no—
1128C22×C7—41no—
1129C22×C7—41no—
1130C22×C7—41no—
1131C22×C7C23×D411yescharacteristic
1132C22×C7C2×H(5,𝔽2)11yescharacteristic
1133C22×C7C2×H(5,𝔽2)11yescharacteristic
1134C22×C7C2×2−1+411yescharacteristic
1135C22×C7C2×2−1+411yescharacteristic
1136C22×C7#58511yescharacteristic
1137C22×C7#58511yescharacteristic
1138C2×D7—22no—
1139C2×D7—22no—
1140C2×D7—22no—
1141C2×D7—22no—
1142C2×D7—22no—
1143C2×D7—22no—
1144C2×D7—22no—
1145C2×D7—22no—
1146C2×D7—22no—
1147C2×D7—416no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—41no—
1158C2×D7—41no—
1159C2×D7#53614yes—
1160C4×C7—22no—
1161C4×C7—22no—
1162C4×C7—22no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7—41no—
1169C4×C7—41no—
1170C4×C7—41no—
1171C4×C7—41no—
1172C4×C7—41no—
1173Dic7—22no—
1174Dic7—22no—
1175Dic7—22no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183Dic7—41no—
1184Dic7—41no—
1185Dic7—41no—
1186C24—71no—
1187C24—71no—
1188C24—74no—
1189C24—71no—
1190C24—142no—
1191C24—142no—
1192C24—281no—
1193C24—281no—
1194C24—281no—
1195C24—281no—
1196C24C23×D711yescharacteristic
1197C24C23×D711yescharacteristic
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—41no—
1201C2×Q8—142no—
1202C2×Q8—142no—
1203C2×Q8—142no—
1204C2×Q8—142no—
1205C2×Q8—142no—
1206C2×Q8—142no—
1207C2×Q8—142no—
1208C2×Q8—281no—
1209C2×Q8—281no—
1210C2×Q8—281no—
1211C2×Q8—281no—
1212C2×Q8—281no—
1213C2×Q8—2816no—
1214C2×D4—22no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—142no—
1218C2×D4—142no—
1219C2×D4—142no—
1220C2×D4—142no—
1221C2×D4—142no—
1222C2×D4—142no—
1223C2×D4—142no—
1224C2×D4—142no—
1225C2×D4—142no—
1226C2×D4—142no—
1227C2×D4—281no—
1228C2×D4—281no—
1229C2×D4—281no—
1230C2×D4—281no—
1231C2×D4—281no—
1232C2×D4—281no—
1233C2×D4—281no—
1234C2×D4—281no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—74no—
1245C22×C4—74no—
1246C22×C4—71no—
1247C22×C4—71no—
1248C22×C4—71no—
1249C22×C4—71no—
1250C22×C4—71no—
1251C22×C4—71no—
1252C22×C4—71no—
1253C22×C4—71no—
1254C22×C4—71no—
1255C22×C4—71no—
1256C22×C4—142no—
1257C22×C4—142no—
1258C22×C4—142no—
1259C22×C4—142no—
1260C22×C4—142no—
1261C22×C4—142no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
1265C22×C4—142no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—142no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—281no—
1277C22×C4—281no—
1278C22×C4—281no—
1279C22×C4—281no—
1280C22×C4—281no—
1281C22×C4—281no—
1282C22×C4—281no—
1283C22×C4—2816no—
1284C22×C4—281no—
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C22×C4C23×D711yescharacteristic
1291C22×C4C23×D711yescharacteristic
1292C22×C4C23×D711yescharacteristic
1293C22×C4C23×D711yescharacteristic
1294C22×C4C23×D711yescharacteristic
1295C22×C4C23×D711yescharacteristic
1296C22×C4C23×D711yescharacteristic
1297C22×C4C23×D711yescharacteristic
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—142no—
1311C4⋊C4—142no—
1312C4⋊C4—142no—
1313C4⋊C4—142no—
1314C4⋊C4—142no—
1315C4⋊C4—142no—
1316C4⋊C4—142no—
1317C4⋊C4—142no—
1318C4⋊C4—142no—
1319C4⋊C4—142no—
1320C4⋊C4—142no—
1321C4⋊C4—142no—
1322C4⋊C4—142no—
1323C4⋊C4—142no—
1324C4⋊C4—142no—
1325C4⋊C4—281no—
1326C4⋊C4—281no—
1327C4⋊C4—281no—
1328C4⋊C4—281no—
1329C4⋊C4—281no—
1330C4⋊C4—281no—
1331C4⋊C4—281no—
1332C4⋊C4—281no—
1333C4⋊C4—281no—
1334C4⋊C4—281no—
1335C4⋊C4—281no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—74no—
1346C22⋊C4—74no—
1347C22⋊C4—74no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—142no—
1352C22⋊C4—142no—
1353C22⋊C4—142no—
1354C22⋊C4—142no—
1355C22⋊C4—142no—
1356C22⋊C4—142no—
1357C22⋊C4—142no—
1358C22⋊C4—142no—
1359C22⋊C4—142no—
1360C22⋊C4—142no—
1361C22⋊C4—142no—
1362C22⋊C4—142no—
1363C22⋊C4—142no—
1364C22⋊C4—142no—
1365C22⋊C4—142no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4—281no—
1374C22⋊C4—281no—
1375C22⋊C4—281no—
1376C22⋊C4—281no—
1377C22⋊C4—281no—
1378C22⋊C4—281no—
1379C22⋊C4—281no—
1380C22⋊C4—281no—
1381C22⋊C4D4×D714yes—
1382C42—41no—
1383C42—142no—
1384C42—142no—
1385C42—281no—
1386C42—281no—
1387C42—281no—
1388C2×C7—42no—
1389C2×C7—81no—
1390C2×C7C2×#53611yescharacteristic
1391C2×C7#348411yescharacteristic
1392C2×C7#348511yescharacteristic
1393C2×C7#354111yescharacteristic
1394C2×C7#354111yescharacteristic
1395C2×C7#354111yescharacteristic
1396C2×C7#354111yescharacteristic
1397D7—24no—
1398D7—42no—
1399D7—81no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—72no—
1414C23—72no—
1415C23—72no—
1416C23—72no—
1417C23—148no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23—141no—
1433C23—141no—
1434C23—141no—
1435C23—284no—
1436C23—284no—
1437C23—284no—
1438C23—284no—
1439C23—284no—
1440C23—284no—
1441C23C2×D4×D712yes—
1442C23C24×D711yescharacteristic
1443Q8—44no—
1444Q8—284no—
1445Q8—284no—
1446Q8—284no—
1447Q8—562no—
1448D4—82no—
1449D4—284no—
1450D4—284no—
1451D4—562no—
1452D4—562no—
1453D4—562no—
1454D4—562no—
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—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—44no—
1492C2×C4—72no—
1493C2×C4—72no—
1494C2×C4—72no—
1495C2×C4—82no—
1496C2×C4—148no—
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—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—284no—
1534C2×C4—284no—
1535C2×C4—284no—
1536C2×C4—284no—
1537C2×C4—284no—
1538C2×C4—284no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—562no—
1542C2×C4C2×D4×D712yes—
1543C2×C4C2×D4×D712yes—
1544C2×C4#654812yes—
1545C7#3671611yescharacteristic, complemented, Sylow
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—74no—
1561C22—142no—
1562C22—142no—
1563C22—142no—
1564C22—142no—
1565C22—142no—
1566C22—142no—
1567C22—142no—
1568C22—142no—
1569C22—142no—
1570C22—2816no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22C22×D4×D711yescharacteristic
1583C22C2×#654811yescharacteristic
1584C22#9061611yescharacteristic
1585C22D7×H(5,𝔽2)11yescharacteristic
1586C22D7×2−1+411yescharacteristic
1587C22D7×2−1+411yescharacteristic
1588C22#9062011yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—142no—
1603C4—142no—
1604C4—142no—
1605C4—281no—
1606C4—281no—
1607C4—281no—
1608C4—281no—
1609C4—281no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C2—42no—
1616C2—81no—
1617C2—144no—
1618C2—282no—
1619C2—561no—
1620C2D7×#53611yescharacteristic
1621C2#1174342811yescharacteristic
1622C2#1174350511yescharacteristic
1623C2#1174368811yescharacteristic
1624C2#1174375811yescharacteristic
1625C2#1174376811yescharacteristic
1626C2#1174418611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2680C2
prime radicalC2×#90348C2
hypercenter#2680D7
hypocenterC7#36716
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2680

Complements

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

NH ≅ G/Ntype
2. C2×D7×C22⋊Q8C2semidirect
3. C7×#2680C2semidirect
4. #11740357C2semidirect
5. #11740317C2semidirect
6. #11740316C2semidirect
7. #11740274C2semidirect
8. #11740245C2semidirect
9. #11740196C2semidirect
10. #11735422C2semidirect
11. #11735414C2semidirect
12. #11735406C2semidirect
13. #11735405C2semidirect
14. #11735142C2semidirect
15. #11735130C2semidirect
16. #11735024C2semidirect
17. #11734937C2semidirect
18. #11734711C2semidirect
19. #11734617C2semidirect
20. #11734570C2semidirect
21. #11734450C2semidirect
22. #11733370C2semidirect
23. #11733339C2semidirect
24. #11733270C2semidirect
25. #11733124C2semidirect
26. #11732101C2semidirect
27. #11732077C2semidirect
28. #11732061C2semidirect
29. #11731966C2semidirect
30. #11731816C2semidirect
31. #11731774C2semidirect
37. C2×C7×C22⋊Q8C22semidirect
45. C2×#6487C22semidirect
53. C2×#6459C22semidirect
54. C2×#6459C22semidirect
71. C7×#398C22semidirect
72. C7×#398C22semidirect
74. C7×#397C22semidirect
75. C7×#395C22semidirect
78. C7×#388C22semidirect
80. C7×#385C22semidirect
81. C7×#384C22semidirect
82. #90003C22semidirect
83. #90002C22semidirect
87. #89982C22semidirect
88. #89766C22semidirect
89. #89766C22semidirect
91. #89765C22semidirect
94. #89762C22semidirect
103. #89761C22semidirect
105. #89757C22semidirect
106. #89757C22semidirect
107. #89756C22semidirect
108. #89756C22semidirect
109. #89756C22semidirect
110. #89756C22semidirect
111. #89756C22semidirect
112. #89752C22semidirect
113. #89752C22semidirect
114. #89751C22semidirect
115. #89751C22semidirect
116. #89751C22semidirect
117. #89751C22semidirect
118. #89750C22semidirect
119. #89748C22semidirect
120. #89746C22semidirect
121. #89746C22semidirect
124. #89733C22semidirect
127. #89731C22semidirect
129. #89729C22semidirect
130. #89729C22semidirect
140. #89725C22semidirect
144. #89720C22semidirect
145. #89720C22semidirect
146. #89719C22semidirect
147. #89719C22semidirect
150. #89717C22semidirect
154. #89712C22semidirect
156. #89701C22semidirect
160. #89446C22semidirect
161. #89445C22semidirect
167. #89440C22semidirect
176. #89432C22semidirect
177. #89430C22semidirect
178. #89429C22semidirect
179. #89428C22semidirect
180. #89427C22semidirect
181. #89426C22semidirect
182. #89425C22semidirect
183. #89422C22semidirect
184. #89422C22semidirect
185. #89419C22semidirect
186. #89419C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
405. #2680D7semidirect
645. C2×C22⋊Q8C2×D7semidirect
668. #398C2×D7semidirect
669. #398C2×D7semidirect
681. #397C2×D7semidirect
691. #395C2×D7semidirect
729. #388C2×D7semidirect
761. #385C2×D7semidirect
763. #384C2×D7semidirect
1545. C7#36716semidirect

Maximal subgroups

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

subgroupindex
C2×#903482
C2×D7×C22⋊Q82
C7×#26802
#117403572
#117403172
#117403162
#117402742
#117402452
#117401962
#117354222
#117354142
#117354062
#117354052
#117351422
#117351302
#117350242
#117349372
#117347112
#117346172
#117345702
#117344502
#117333702
#117333392
#117332702
#117331242
#117321012
#117320772
#117320612
#117319662
#117318162
#117317742
#367167