Finite Group Databasebeta

← #13560837

Subgroups — #13560837

Order 1792.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90351C211yesmaximal, characteristic, complemented
2C2×#90277C211yesmaximal, characteristic, complemented
3C7×#2678C211yesmaximal, characteristic, complemented
4#11740316C211yesmaximal, characteristic, complemented
5#11740146C211yesmaximal, characteristic, complemented
6#11740130C211yesmaximal, characteristic, complemented
7#11740055C211yesmaximal, characteristic, complemented
8#11740047C211yesmaximal, characteristic, complemented
9#11740044C211yesmaximal, characteristic, complemented
10#11735013C211yesmaximal, characteristic, complemented
11#11734982C211yesmaximal, characteristic, complemented
12#11734867C211yesmaximal, characteristic, complemented
13#11734797C211yesmaximal, characteristic, complemented
14#11734552C211yesmaximal, characteristic, complemented
15#11734472C211yesmaximal, characteristic, complemented
16#11734466C211yesmaximal, characteristic, complemented
17#11734428C211yesmaximal, characteristic, complemented
18#11734166C211yesmaximal, characteristic, complemented
19#11734161C211yesmaximal, characteristic, complemented
20#11734144C211yesmaximal, characteristic, complemented
21#11734140C211yesmaximal, characteristic, complemented
22#11733910C211yesmaximal, characteristic, complemented
23#11733835C211yesmaximal, characteristic, complemented
24#11733814C211yesmaximal, characteristic, complemented
25#11733808C211yesmaximal, characteristic, complemented
26#11733123C211yesmaximal, characteristic, complemented
27#11732903C211yesmaximal, characteristic, complemented
28#11732348C211yesmaximal, characteristic, complemented
29#11732240C211yesmaximal, characteristic, complemented
30#11731291C211yesmaximal, characteristic, complemented
31#11731285C211yesmaximal, characteristic, complemented
32C24×Dic7C2211yescharacteristic
33C22×#1159C2211yescharacteristic
34C2×C7×#123C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic
36C2×C7×#120C2211yescharacteristic
37C2×C7×#120C2211yescharacteristic
38C2×#6516C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6501C2211yescharacteristic
42C2×#6498C2211yescharacteristic
43C2×#6498C2211yescharacteristic
44C2×#6498C2211yescharacteristic
45C2×D4×Dic7C2211yescharacteristic
46C2×D4×Dic7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic, complemented
48C2×#6487C2211yescharacteristic, complemented
49C2×#6487C2211yescharacteristic, complemented
50#90351—28no—
51#90277—28no—
52C2×#6459C2211yescharacteristic, complemented
53C2×D7×C4⋊C4C2211yescharacteristic, complemented
54C2×#6453C2211yescharacteristic, complemented
55C2×#6452C2211yescharacteristic, complemented
56C2×#6449C2211yescharacteristic
57C2×#6446C2211yescharacteristic
58C2×#6446C2211yescharacteristic
59C2×#6446C2211yescharacteristic, complemented
60C2×#6446C2211yescharacteristic, complemented
61C2×(C22⋊D7)⋊C4C2211yescharacteristic
62C2×(C22⋊D7)⋊C4C2211yescharacteristic
63C2×#6442C2211yescharacteristic
64C2×#6442C2211yescharacteristic, complemented
65C2×#6441C2211yescharacteristic
66C2×#6441C2211yescharacteristic
67C2×#6441C2211yescharacteristic
68C2×#6441C2211yescharacteristic
69C2×#6441C2211yescharacteristic
70C2×#6440C2211yescharacteristic
71C7×#397C2211yescharacteristic
72C7×#396C2211yescharacteristic
73C7×#394C2211yescharacteristic
74C7×#394C2211yescharacteristic
75C7×#392C2211yescharacteristic
76C7×#392C2211yescharacteristic
77C7×#390C2211yescharacteristic
78C7×#390C2211yescharacteristic
79C7×#388C2211yescharacteristic
80C7×#386C2211yescharacteristic
81C7×#379C2211yescharacteristic
82#90019C2211yescharacteristic
83#90019C2211yescharacteristic
84#89995C2211yescharacteristic
85#89995C2211yescharacteristic
86#89995C2211yescharacteristic, complemented
87#89994C2211yescharacteristic
88#89994C2211yescharacteristic
89#89994C2211yescharacteristic
90#89994C2211yescharacteristic
91#89994C2211yescharacteristic
92#89994C2211yescharacteristic
93#89994C2211yescharacteristic, complemented
94#89993C2211yescharacteristic
95#89993C2211yescharacteristic
96#89993C2211yescharacteristic
97#89993C2211yescharacteristic, complemented
98#89992C2211yescharacteristic
99#89992C2211yescharacteristic
100#89992C2211yescharacteristic
101#89992C2211yescharacteristic
102#89992C2211yescharacteristic, complemented
103#89982C2211yescharacteristic, complemented
104#89761C2211yescharacteristic, complemented
105#89759C2211yescharacteristic, complemented
106#89756C2211yescharacteristic, complemented
107#89756C2211yescharacteristic, complemented
108#89755C2211yescharacteristic, complemented
109#89753C2211yescharacteristic, complemented
110#89752C2211yescharacteristic, complemented
111#89752C2211yescharacteristic, complemented
112#89751C2211yescharacteristic, complemented
113#89748C2211yescharacteristic, complemented
114#89746C2211yescharacteristic, complemented
115#89744C2211yescharacteristic, complemented
116#89733C2211yescharacteristic
117#89731C2211yescharacteristic
118#89731C2211yescharacteristic, complemented
119#89731C2211yescharacteristic, complemented
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic, complemented
126#89725C2211yescharacteristic
127#89725C2211yescharacteristic
128#89725C2211yescharacteristic, complemented
129#89724C2211yescharacteristic
130#89724C2211yescharacteristic, complemented
131#89723C2211yescharacteristic
132#89723C2211yescharacteristic
133#89723C2211yescharacteristic
134#89723C2211yescharacteristic, complemented
135#89722C2211yescharacteristic
136#89722C2211yescharacteristic
137#89722C2211yescharacteristic
138#89722C2211yescharacteristic, complemented
139#89721C2211yescharacteristic
140#89720C2211yescharacteristic
141#89720C2211yescharacteristic
142#89720C2211yescharacteristic
143#89720C2211yescharacteristic
144#89720C2211yescharacteristic, complemented
145#89720C2211yescharacteristic, complemented
146#89720C2211yescharacteristic, complemented
147#89720C2211yescharacteristic, complemented
148#89720C2211yescharacteristic, complemented
149#89719C2211yescharacteristic, complemented
150#89718C2211yescharacteristic
151#89718C2211yescharacteristic
152#89718C2211yescharacteristic
153#89718C2211yescharacteristic
154#89718C2211yescharacteristic
155#89718C2211yescharacteristic
156#89718C2211yescharacteristic
157#89718C2211yescharacteristic, complemented
158#89718C2211yescharacteristic, complemented
159#89717C2211yescharacteristic
160#89717C2211yescharacteristic, complemented
161#89716C2211yescharacteristic
162#89716C2211yescharacteristic
163#89716C2211yescharacteristic, complemented
164#89715C2211yescharacteristic
165#89715C2211yescharacteristic
166#89714C2211yescharacteristic
167#89714C2211yescharacteristic
168#89714C2211yescharacteristic
169#89712C2211yescharacteristic, complemented
170#89708C2211yescharacteristic, complemented
171C4×Dic7⋊C4C2211yescharacteristic, complemented
172#89700C2211yescharacteristic, complemented
173#89447C2211yescharacteristic, complemented
174#89441C2211yescharacteristic, complemented
175#89440C2211yescharacteristic, complemented
176#89436C2211yescharacteristic, complemented
177#89433C2211yescharacteristic, complemented
178#89431C2211yescharacteristic, complemented
179#89429C2211yescharacteristic, complemented
180#89428C2211yescharacteristic, complemented
181#89428C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89420C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#36723—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C23×Dic7—24no—
205C23×Dic7—42no—
206C23×Dic7—42no—
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C23×Dic7C2311yescharacteristic
214C2×#1159—24no—
215C2×#1159—42no—
216C2×#1159—42no—
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×Dic14C2311yescharacteristic
221C22×Dic14C2311yescharacteristic
222C7×#123—24no—
223C7×#121—42no—
224C7×#120—24no—
225C7×#120—42no—
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C42×C7C2311yescharacteristic
248#6516—24no—
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274C2×C22⋊Dic7C2311yescharacteristic
275C2×C22⋊Dic7C2311yescharacteristic
276C2×C22⋊Dic7C2311yescharacteristic
277#6502—24no—
278#6502—24no—
279#6501—24no—
280#6498—24no—
281#6498—24no—
282#6498—42no—
283D4×Dic7—24no—
284D4×Dic7—24no—
285C4×C22⋊D7—24no—
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304#6487—24no—
305#6487—42no—
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×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
326C2×Dic7⋊C4C2311yescharacteristic
327C2×Dic7⋊C4C2311yescharacteristic
328C2×Dic7⋊C4C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335#6459—24no—
336D7×C4⋊C4—24no—
337#6453—24no—
338#6452—24no—
339#6449—24no—
340#6446—24no—
341#6446—24no—
342#6446—42no—
343#6446—42no—
344(C22⋊D7)⋊C4—24no—
345(C22⋊D7)⋊C4D418yescomplemented
346#6442—24no—
347#6442—24no—
348#6441—24no—
349#6441—24no—
350#6441—24no—
351#6441—42no—
352#6441—42no—
353#6440—24no—
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×#539—71no—
387C2×#525—71no—
388#2849—71no—
389#2848—71no—
390#2707—71no—
391#2706—71no—
392#2704—71no—
393#2703—71no—
394#2701—71no—
395#2698—71no—
396#2697—71no—
397#2685—71no—
398#2683—71no—
399#2682—71no—
400#2681—71no—
401#2681—71no—
402#2680—71no—
403#2680—71no—
404#2678—71no—
405#2678D711yescharacteristic, complemented
406#2638—71no—
407#2630—71no—
408#2611—71no—
409#2603—71no—
410#2601—71no—
411#2600—71no—
412#2579—71no—
413#2566—71no—
414#2407—71no—
415#2406—71no—
416#2319—71no—
417C24×C7—22no—
418C24×C7—22no—
419C24×C7—22no—
420C24×C7—41no—
421C24×C7—41no—
422C24×C7—41no—
423C24×C7—41no—
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C24×C7C2411yescharacteristic
428C24×C7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—22no—
436C2×C7×D4—22no—
437C2×C7×D4—22no—
438C2×C7×D4—41no—
439C2×C7×D4—41no—
440C2×C7×D4—41no—
441C2×C7×D4—41no—
442C2×C7×D4—41no—
443C2×C7×D4—41no—
444C2×C7×D4—41no—
445C2×C7×D4—41no—
446C2×C7×D4—41no—
447C2×C7×D4—41no—
448C2×C7×D4—41no—
449C2×C7×D4—41no—
450C2×C7×D4—41no—
451C22×C4×C7—22no—
452C22×C4×C7—41no—
453C22×C4×C7—41no—
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7C2×D414yes—
479C22×Dic7—22no—
480C22×Dic7—22no—
481C22×Dic7—22no—
482C22×Dic7—22no—
483C22×Dic7—22no—
484C22×Dic7—22no—
485C22×Dic7—22no—
486C22×Dic7—22no—
487C22×Dic7—22no—
488C22×Dic7—22no—
489C22×Dic7—22no—
490C22×Dic7—41no—
491C22×Dic7—41no—
492C22×Dic7—41no—
493C22×Dic7—41no—
494C22×Dic7—41no—
495C22×Dic7—41no—
496C22×Dic7—41no—
497C22×Dic7—41no—
498C22×Dic7—41no—
499C22×Dic7—416no—
500C22×Dic7C2×D414yes—
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515C22×Dic7C2411yescharacteristic
516#1159—416no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7—41no—
524C2×C4×D7—41no—
525C2×C4×D7C2×D414yes—
526C2×Dic14—22no—
527C2×Dic14—22no—
528C2×Dic14—22no—
529C2×Dic14—41no—
530C2×Dic14—41no—
531C2×Dic14—41no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—41no—
535C7×C4⋊C4—41no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—41no—
543C7×C22⋊C4—41no—
544C7×C22⋊C4—41no—
545C7×C22⋊C4—41no—
546C7×C22⋊C4—41no—
547C7×C22⋊C4—41no—
548C7×C22⋊C4—41no—
549C7×C22⋊C4—41no—
550C7×C22⋊C4—41no—
551C7×C22⋊C4—41no—
552C7×C22⋊C4C2×D414yes—
553C42×C7—41no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—22no—
559C22⋊Dic7—22no—
560C22⋊Dic7—22no—
561C22⋊Dic7—22no—
562C22⋊Dic7—22no—
563C22⋊Dic7—22no—
564C22⋊Dic7—22no—
565C22⋊Dic7—22no—
566C22⋊Dic7—22no—
567C22⋊Dic7—41no—
568C22⋊Dic7—41no—
569C22⋊Dic7—41no—
570C22⋊Dic7—41no—
571C22⋊Dic7—41no—
572C22⋊Dic7—41no—
573C22⋊Dic7—41no—
574C22⋊Dic7—41no—
575C22⋊Dic7—41no—
576C22⋊Dic7—41no—
577C22⋊Dic7—41no—
578C22⋊Dic7—41no—
579C22⋊Dic7—41no—
580C22⋊Dic7—41no—
581C22⋊Dic7—41no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4C2×D414yes—
589C4⋊Dic7—22no—
590C4⋊Dic7—22no—
591C4⋊Dic7—22no—
592C4⋊Dic7—22no—
593C4⋊Dic7—22no—
594C4⋊Dic7—22no—
595C4⋊Dic7—22no—
596C4⋊Dic7—41no—
597C4⋊Dic7—41no—
598C4⋊Dic7—41no—
599C4⋊Dic7—41no—
600Dic7⋊C4—22no—
601Dic7⋊C4—22no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—41no—
613Dic7⋊C4—41no—
614Dic7⋊C4—41no—
615Dic7⋊C4—41no—
616Dic7⋊C4—41no—
617Dic7⋊C4—41no—
618Dic7⋊C4—41no—
619Dic7⋊C4—41no—
620Dic7⋊C4—41no—
621Dic7⋊C4—41no—
622Dic7⋊C4C2×D414yes—
623C4×Dic7—22no—
624C4×Dic7—22no—
625C4×Dic7—41no—
626C4×Dic7—41no—
627C4×Dic7—41no—
628C4×Dic7C2×D414yes—
629C22×#41—71no—
630C24×C4—71no—
631#539—148no—
632C2×#126—71no—
633C2×#126—71no—
634C2×#125—71no—
635C2×#125—71no—
636#525—148no—
637C2×#123—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123—71no—
645C2×#123C2×D711yescharacteristic
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×C22⋊Q8—71no—
650C2×C22⋊Q8—71no—
651C2×C22⋊Q8—71no—
652C2×C22⋊Q8—71no—
653C2×C22⋊Q8—71no—
654C2×#121—71no—
655C2×#121—71no—
656C2×#121—71no—
657C2×#121C2×D711yescharacteristic
658C2×#120—71no—
659C2×#120C2×D711yescharacteristic
660C2×#120C2×D711yescharacteristic
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C2×C4×D4—71no—
665C2×C4×D4—71no—
666C2×#117—71no—
667C22×C4⋊C4—71no—
668#400—71no—
669#399—71no—
670#398—71no—
671#398—71no—
672#398—71no—
673#398—71no—
674#398—71no—
675#398—71no—
676#398—71no—
677#397—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#397C2×D711yescharacteristic
684#396—71no—
685#396—71no—
686#396—71no—
687#396—71no—
688#396—71no—
689#396—71no—
690#396—71no—
691#396—71no—
692#396—71no—
693#396C2×D711yescharacteristic
694#395—71no—
695#395—71no—
696#395—71no—
697#394—71no—
698#394—71no—
699#394—71no—
700#394—71no—
701#394—71no—
702#394—71no—
703#394—71no—
704#394—71no—
705#394—71no—
706#394—71no—
707#394—71no—
708#394C2×D711yescharacteristic
709#394C2×D711yescharacteristic
710#393—71no—
711#392—71no—
712#392—71no—
713#392—71no—
714#392C2×D711yescharacteristic
715#392C2×D711yescharacteristic
716#391—71no—
717#390—71no—
718#390—71no—
719#390—71no—
720#390—71no—
721#390—71no—
722#390—71no—
723#390C2×D711yescharacteristic
724#390C2×D711yescharacteristic
725#389—71no—
726#389—71no—
727#389—71no—
728#389—71no—
729#389—71no—
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388—71no—
739#388—71no—
740#388—71no—
741#388C2×D711yescharacteristic
742#387—71no—
743#387—71no—
744#387—71no—
745#387—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386C2×D711yescharacteristic
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#385—71no—
765#385—71no—
766#385—71no—
767#385—71no—
768#385—71no—
769#385—71no—
770#385—71no—
771#385—71no—
772#384—71no—
773#382—71no—
774#381—71no—
775#381—71no—
776#381—71no—
777#380—71no—
778#380—71no—
779#380—71no—
780#380—71no—
781#379—71no—
782#379—71no—
783#379C2×D711yescharacteristic
784C4×C4⋊C4—71no—
785#376—71no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—21no—
818C23×C7—44no—
819C23×C7—44no—
820C23×C7—44no—
821C23×C7—44no—
822C23×C7—44no—
823C23×C7—44no—
824C23×C7—44no—
825C23×C7C22×D412yes—
826C23×C7H(5,𝔽2)12yes—
827C23×C72−1+412yes—
828C23×C7C2511yescharacteristic
829C22×D7—21no—
830C22×D7—21no—
831C22×D7—21no—
832C22×D7—21no—
833C22×D7—21no—
834C22×D7—21no—
835C22×D7C22×D412yes—
836C7×D4—44no—
837C7×D4—44no—
838C7×D4—44no—
839C7×D4—82no—
840C7×D4—82no—
841C7×D4—82no—
842C7×D4—82no—
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—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—82no—
872C2×C4×C7C22×D412yes—
873C2×C4×C7C22×D412yes—
874C22⋊D7—44no—
875C22⋊D7—44no—
876C22⋊D7—44no—
877C22⋊D7—44no—
878C22⋊D7—44no—
879C2×Dic7—28no—
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—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—44no—
922C2×Dic7—44no—
923C2×Dic7—44no—
924C2×Dic7—44no—
925C2×Dic7—44no—
926C2×Dic7—44no—
927C2×Dic7C22×D412yes—
928C2×Dic7C22×D412yes—
929C2×Dic7C22×D412yes—
930C2×Dic7H(5,𝔽2)12yes—
931C4×D7—44no—
932C4×D7—44no—
933C4×D7—82no—
934Dic14—44no—
935Dic14—82no—
936C25C22×D711yescharacteristic
937C2×#41—144no—
938C2×#41—282no—
939C2×#41—282no—
940C22×Q8—71no—
941C22×Q8—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4C22×D711yescharacteristic
948C22×D4C22×D711yescharacteristic
949C22×D4C22×D711yescharacteristic
950C22×D4C22×D711yescharacteristic
951C22×D4C22×D711yescharacteristic
952C22×D4C22×D711yescharacteristic
953C22×D4C22×D711yescharacteristic
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4—71no—
960C23×C4—71no—
961C23×C4—71no—
962C23×C4—71no—
963C23×C4—71no—
964C23×C4—144no—
965C23×C4—282no—
966C23×C4—282no—
967C23×C4C22×D711yescharacteristic
968#126—144no—
969#126—144no—
970#125—144no—
971#125—144no—
972#123—24no—
973#123—144no—
974#123—144no—
975#123—144no—
976#123—144no—
977#123—144no—
978#123—282no—
979#123—282no—
980#123—282no—
981C22⋊Q8—144no—
982C22⋊Q8—144no—
983C22⋊Q8—144no—
984C22⋊Q8—144no—
985C22⋊Q8—144no—
986C22⋊Q8—282no—
987C22⋊Q8—282no—
988C22⋊Q8—282no—
989#121—42no—
990#121—144no—
991#121—144no—
992#121—144no—
993#120—24no—
994#120—42no—
995#120—144no—
996C4×D4—78no—
997C4×D4—144no—
998C4×D4—144no—
999C4×D4—144no—
1000C4×D4—144no—
1001#117—144no—
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—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—71no—
1021C2×C4⋊C4—71no—
1022C2×C4⋊C4—71no—
1023C2×C4⋊C4—71no—
1024C2×C4⋊C4—71no—
1025C2×C4⋊C4—71no—
1026C2×C4⋊C4—71no—
1027C2×C4⋊C4—71no—
1028C2×C4⋊C4—71no—
1029C2×C4⋊C4—71no—
1030C2×C4⋊C4—71no—
1031C2×C4⋊C4—71no—
1032C2×C4⋊C4—71no—
1033C2×C4⋊C4—71no—
1034C2×C4⋊C4—71no—
1035C2×C4⋊C4—71no—
1036C2×C4⋊C4—144no—
1037C2×C4⋊C4C22×D711yescharacteristic
1038C2×C4⋊C4C22×D711yescharacteristic
1039C2×C4⋊C4C22×D711yescharacteristic
1040C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4C22×D711yescharacteristic
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C22⋊C4C22×D711yescharacteristic
1082C2×C22⋊C4C22×D711yescharacteristic
1083C2×C22⋊C4C22×D711yescharacteristic
1084C2×C22⋊C4C22×D711yescharacteristic
1085C2×C22⋊C4C22×D711yescharacteristic
1086C2×C22⋊C4C22×D711yescharacteristic
1087C2×C22⋊C4C22×D711yescharacteristic
1088C2×C22⋊C4C22×D711yescharacteristic
1089C2×C22⋊C4C22×D711yescharacteristic
1090C2×C22⋊C4C22×D711yescharacteristic
1091C2×C22⋊C4C22×D711yescharacteristic
1092C2×C22⋊C4C22×D711yescharacteristic
1093C2×C42—71no—
1094C2×C42—71no—
1095C2×C42—71no—
1096C2×C42—71no—
1097C2×C42—71no—
1098C2×C42—71no—
1099C2×C42C22×D711yescharacteristic
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#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95—71no—
1123#95—71no—
1124#95—71no—
1125#95—71no—
1126#95—71no—
1127#95—71no—
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130#95C22×D711yescharacteristic
1131#95C22×D711yescharacteristic
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—22no—
1136C22×C7—22no—
1137C22×C7—22no—
1138C22×C7—22no—
1139C22×C7—22no—
1140C22×C7—22no—
1141C22×C7—416no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7—41no—
1147C22×C7—41no—
1148C22×C7—41no—
1149C22×C7—41no—
1150C22×C7—41no—
1151C22×C7—41no—
1152C22×C7—41no—
1153C22×C7—41no—
1154C22×C7—41no—
1155C22×C7—41no—
1156C22×C7—41no—
1157C22×C7—41no—
1158C22×C7—41no—
1159C22×C7—41no—
1160C22×C7—41no—
1161C22×C7—41no—
1162C22×C7—41no—
1163C22×C7—41no—
1164C22×C7—41no—
1165C22×C7—41no—
1166C22×C7—41no—
1167C22×C7—41no—
1168C22×C7C23×D411yescharacteristic
1169C22×C7C2×H(5,𝔽2)11yescharacteristic
1170C22×C7C2×H(5,𝔽2)11yescharacteristic
1171C22×C7C2×2−1+411yescharacteristic
1172C22×C7#58511yescharacteristic
1173C22×C7#58511yescharacteristic
1174C22×C7#58511yescharacteristic
1175C2×D7—22no—
1176C2×D7—22no—
1177C2×D7—22no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C2×D7—41no—
1181C2×D7—41no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—41no—
1185C4×C7—41no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192Dic7—22no—
1193Dic7—22no—
1194Dic7—22no—
1195Dic7—22no—
1196Dic7—41no—
1197Dic7—41no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205Dic7—41no—
1206Dic7—41no—
1207C24—22no—
1208C24—22no—
1209C24—22no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—71no—
1215C24C23×D711yescharacteristic
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C24C23×D711yescharacteristic
1219C24C23×D711yescharacteristic
1220#41—2816no—
1221C2×Q8—142no—
1222C2×Q8—142no—
1223C2×Q8—142no—
1224C2×Q8—281no—
1225C2×Q8—281no—
1226C2×Q8—281no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—74no—
1249C2×D4—142no—
1250C2×D4—142no—
1251C2×D4—142no—
1252C2×D4—142no—
1253C2×D4—142no—
1254C2×D4—142no—
1255C2×D4—142no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C2×D4—281no—
1261C2×D4—281no—
1262C2×D4—281no—
1263C22×C4—22no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—71no—
1267C22×C4—71no—
1268C22×C4—71no—
1269C22×C4—71no—
1270C22×C4—74no—
1271C22×C4—74no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—71no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—142no—
1293C22×C4—142no—
1294C22×C4—142no—
1295C22×C4—142no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4—281no—
1307C22×C4—281no—
1308C22×C4—281no—
1309C22×C4—281no—
1310C22×C4—281no—
1311C22×C4—2816no—
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C22×C4C23×D711yescharacteristic
1319C22×C4C23×D711yescharacteristic
1320C22×C4C23×D711yescharacteristic
1321C22×C4C23×D711yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—74no—
1327C4⋊C4—142no—
1328C4⋊C4—142no—
1329C4⋊C4—142no—
1330C4⋊C4—142no—
1331C4⋊C4—142no—
1332C4⋊C4—142no—
1333C4⋊C4—142no—
1334C4⋊C4—142no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—142no—
1343C4⋊C4—142no—
1344C4⋊C4—142no—
1345C4⋊C4—142no—
1346C4⋊C4—281no—
1347C4⋊C4—281no—
1348C4⋊C4—281no—
1349C4⋊C4—281no—
1350C4⋊C4—281no—
1351C4⋊C4—281no—
1352C4⋊C4—281no—
1353C4⋊C4—281no—
1354C4⋊C4—281no—
1355C4⋊C4—281no—
1356C4⋊C4—281no—
1357C4⋊C4—281no—
1358C4⋊C4—281no—
1359C4⋊C4—281no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—74no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—142no—
1387C22⋊C4—142no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
1390C22⋊C4—142no—
1391C22⋊C4—142no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4—281no—
1400C22⋊C4—281no—
1401C22⋊C4—281no—
1402C22⋊C4—281no—
1403C22⋊C4—281no—
1404C22⋊C4—281no—
1405C22⋊C4—281no—
1406C22⋊C4—281no—
1407C22⋊C4—281no—
1408C22⋊C4—281no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
1411C22⋊C4D4×D714yes—
1412C42—41no—
1413C42—74no—
1414C42—142no—
1415C42—142no—
1416C42—281no—
1417C42—281no—
1418C42—281no—
1419C2×C7—42no—
1420C2×C7—42no—
1421C2×C7—42no—
1422C2×C7—81no—
1423C2×C7—81no—
1424C2×C7#344911yescharacteristic
1425C2×C7#348411yescharacteristic
1426C2×C7#348911yescharacteristic
1427C2×C7#353311yescharacteristic
1428C2×C7#353511yescharacteristic
1429C2×C7#353911yescharacteristic
1430C2×C7#354111yescharacteristic
1431D7—42no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—72no—
1472C23—141no—
1473C23—141no—
1474C23—141no—
1475C23—141no—
1476C23—141no—
1477C23—141no—
1478C23C2×D4×D712yes—
1479C23#654812yes—
1480C23#655412yes—
1481C23C24×D711yescharacteristic
1482Q8—284no—
1483Q8—562no—
1484D4—44no—
1485D4—44no—
1486D4—44no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—284no—
1492D4—284no—
1493D4—284no—
1494D4—284no—
1495D4—284no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—72no—
1525C2×C4—72no—
1526C2×C4—72no—
1527C2×C4—72no—
1528C2×C4—82no—
1529C2×C4—148no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—284no—
1572C2×C4—284no—
1573C2×C4—284no—
1574C2×C4—284no—
1575C2×C4—284no—
1576C2×C4—284no—
1577C2×C4—284no—
1578C2×C4—284no—
1579C2×C4—562no—
1580C2×C4C2×D4×D712yes—
1581C2×C4C2×D4×D712yes—
1582C7#3672311yescharacteristic, complemented, Sylow
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—416no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—142no—
1620C22—142no—
1621C22—142no—
1622C22—281no—
1623C22—281no—
1624C22—281no—
1625C22—281no—
1626C22C22×D4×D711yescharacteristic
1627C22C2×#654811yescharacteristic
1628C22C2×#655411yescharacteristic
1629C22D7×H(5,𝔽2)11yescharacteristic
1630C22#9061811yescharacteristic
1631C22#9061811yescharacteristic
1632C22#9061811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—142no—
1644C4—142no—
1645C4—142no—
1646C4—142no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C4—281no—
1655C4—281no—
1656C4—281no—
1657C4—281no—
1658C2—42no—
1659C2—42no—
1660C2—42no—
1661C2—81no—
1662C2—81no—
1663C2—282no—
1664C2#1174336811yescharacteristic
1665C2#1174338111yescharacteristic
1666C2#1174346711yescharacteristic
1667C2#1174368811yescharacteristic
1668C2#1174369811yescharacteristic
1669C2#1174371411yescharacteristic
1670C2#1174414011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2678C2
hypercenter#2678D7
hypocenterC7#36723
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#90351C2semidirect
2. C2×#90277C2semidirect
3. C7×#2678C2semidirect
4. #11740316C2semidirect
5. #11740146C2semidirect
6. #11740130C2semidirect
7. #11740055C2semidirect
8. #11740047C2semidirect
9. #11740044C2semidirect
10. #11735013C2semidirect
11. #11734982C2semidirect
12. #11734867C2semidirect
13. #11734797C2semidirect
14. #11734552C2semidirect
15. #11734472C2semidirect
16. #11734466C2semidirect
17. #11734428C2semidirect
18. #11734166C2semidirect
19. #11734161C2semidirect
20. #11734144C2semidirect
21. #11734140C2semidirect
22. #11733910C2semidirect
23. #11733835C2semidirect
24. #11733814C2semidirect
25. #11733808C2semidirect
26. #11733123C2semidirect
27. #11732903C2semidirect
28. #11732348C2semidirect
29. #11732240C2semidirect
30. #11731291C2semidirect
31. #11731285C2semidirect
47. C2×C4×C22⋊D7C22semidirect
48. C2×#6487C22semidirect
49. C2×#6487C22semidirect
52. C2×#6459C22semidirect
53. C2×D7×C4⋊C4C22semidirect
54. C2×#6453C22semidirect
55. C2×#6452C22semidirect
59. C2×#6446C22semidirect
60. C2×#6446C22semidirect
64. C2×#6442C22semidirect
86. #89995C22semidirect
93. #89994C22semidirect
97. #89993C22semidirect
102. #89992C22semidirect
103. #89982C22semidirect
104. #89761C22semidirect
105. #89759C22semidirect
106. #89756C22semidirect
107. #89756C22semidirect
108. #89755C22semidirect
109. #89753C22semidirect
110. #89752C22semidirect
111. #89752C22semidirect
112. #89751C22semidirect
113. #89748C22semidirect
114. #89746C22semidirect
115. #89744C22semidirect
118. #89731C22semidirect
119. #89731C22semidirect
125. #89728C22semidirect
128. #89725C22semidirect
130. #89724C22semidirect
134. #89723C22semidirect
138. #89722C22semidirect
144. #89720C22semidirect
145. #89720C22semidirect
146. #89720C22semidirect
147. #89720C22semidirect
148. #89720C22semidirect
149. #89719C22semidirect
157. #89718C22semidirect
158. #89718C22semidirect
160. #89717C22semidirect
163. #89716C22semidirect
169. #89712C22semidirect
170. #89708C22semidirect
171. C4×Dic7⋊C4C22semidirect
172. #89700C22semidirect
173. #89447C22semidirect
174. #89441C22semidirect
175. #89440C22semidirect
176. #89436C22semidirect
177. #89433C22semidirect
178. #89431C22semidirect
179. #89429C22semidirect
180. #89428C22semidirect
181. #89428C22semidirect
182. #89425C22semidirect
183. #89424C22semidirect
184. #89424C22semidirect
185. #89420C22semidirect
186. #89419C22semidirect
187. #89419C22semidirect
188. #89419C22semidirect
345. (C22⋊D7)⋊C4D4semidirect
405. #2678D7semidirect
1582. C7#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#903512
C2×#902772
C7×#26782
#117403162
#117401462
#117401302
#117400552
#117400472
#117400442
#117350132
#117349822
#117348672
#117347972
#117345522
#117344722
#117344662
#117344282
#117341662
#117341612
#117341442
#117341402
#117339102
#117338352
#117338142
#117338082
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