Finite Group Databasebeta

← #13561305

Subgroups — #13561305

Order 1792.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90369C211yesmaximal, characteristic, complemented
2C2×#90226C211yesmaximal, characteristic, complemented
3C7×#2610C211yesmaximal, characteristic, complemented
4#11740443C211yesmaximal, characteristic, complemented
5#11739704C211yesmaximal, characteristic, complemented
6#11734707C211yesmaximal, characteristic, complemented
7#11734704C211yesmaximal, characteristic, complemented
8#11734582C211yesmaximal, characteristic, complemented
9#11734576C211yesmaximal, characteristic, complemented
10#11734320C211yesmaximal, characteristic, complemented
11#11734267C211yesmaximal, characteristic, complemented
12#11734215C211yesmaximal, characteristic, complemented
13#11734210C211yesmaximal, characteristic, complemented
14#11733921C211yesmaximal, characteristic, complemented
15#11733905C211yesmaximal, characteristic, complemented
16#11733899C211yesmaximal, characteristic, complemented
17#11733756C211yesmaximal, characteristic, complemented
18#11733405C211yesmaximal, characteristic, complemented
19#11733359C211yesmaximal, characteristic, complemented
20#11733357C211yesmaximal, characteristic, complemented
21#11733355C211yesmaximal, characteristic, complemented
22#11733287C211yesmaximal, characteristic, complemented
23#11733145C211yesmaximal, characteristic, complemented
24#11733120C211yesmaximal, characteristic, complemented
25#11733090C211yesmaximal, characteristic, complemented
26#11732358C211yesmaximal, characteristic, complemented
27#11732356C211yesmaximal, characteristic, complemented
28#11732268C211yesmaximal, characteristic, complemented
29#11732237C211yesmaximal, characteristic, complemented
30#11730870C211yesmaximal, characteristic, complemented
31#11730859C211yesmaximal, characteristic, complemented
32C2×C7×#124C2211yescharacteristic
33C2×C7×#117C2211yescharacteristic, complemented
34C2×#6510C2211yescharacteristic
35C2×#6509C2211yescharacteristic
36C2×#6509C2211yescharacteristic, complemented
37C2×#6509C2211yescharacteristic, complemented
38C2×#6503C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic, complemented
41C2×#6501C2211yescharacteristic
42C2×#6501C2211yescharacteristic
43C2×#6501C2211yescharacteristic, complemented
44C2×#6500C2211yescharacteristic
45C2×#6500C2211yescharacteristic
46C2×#6493C2211yescharacteristic
47C2×#6493C2211yescharacteristic, complemented
48#90369—28no—
49#90226—28no—
50C2×#6458C2211yescharacteristic
51C2×#6457C2211yescharacteristic
52C2×#6457C2211yescharacteristic
53C2×#6457C2211yescharacteristic
54C2×#6457C2211yescharacteristic, complemented
55C2×#6457C2211yescharacteristic, complemented
56C2×#6449C2211yescharacteristic
57C2×#6447C2211yescharacteristic
58C2×#6447C2211yescharacteristic
59C2×#6447C2211yescharacteristic
60C2×#6447C2211yescharacteristic
61C2×#6447C2211yescharacteristic
62C2×#6447C2211yescharacteristic
63C2×#6447C2211yescharacteristic, complemented
64C2×#6447C2211yescharacteristic, complemented
65C2×#6447C2211yescharacteristic, complemented
66C2×#6446C2211yescharacteristic
67C2×#6446C2211yescharacteristic
68C2×#6445C2211yescharacteristic
69C2×#6445C2211yescharacteristic
70C2×#6445C2211yescharacteristic
71C2×(C22⋊D7)⋊C4C2211yescharacteristic
72C2×D7×C22⋊C4C2211yescharacteristic
73C2×#6442C2211yescharacteristic
74C2×#6439C2211yescharacteristic
75C2×#6437C2211yescharacteristic
76C2×C4×D28C2211yescharacteristic
77C2×C4×D28C2211yescharacteristic, complemented
78C2×#6435C2211yescharacteristic
79C2×C42×D7C2211yescharacteristic, complemented
80C2×#6433C2211yescharacteristic, complemented
81C7×#395C2211yescharacteristic, complemented
82C7×#394C2211yescharacteristic
83C7×#393C2211yescharacteristic, complemented
84C7×#392C2211yescharacteristic
85C7×#390C2211yescharacteristic
86C7×#390C2211yescharacteristic, complemented
87C7×#388C2211yescharacteristic
88C7×#388C2211yescharacteristic
89C7×#388C2211yescharacteristic, complemented
90C7×#388C2211yescharacteristic, complemented
91C7×#386C2211yescharacteristic
92C7×#386C2211yescharacteristic, complemented
93C7×#376C2211yescharacteristic, complemented
94#89995C2211yescharacteristic
95#89995C2211yescharacteristic
96#89995C2211yescharacteristic
97#89995C2211yescharacteristic
98#89985C2211yescharacteristic
99#89982C2211yescharacteristic, complemented
100#89766C2211yescharacteristic
101#89764C2211yescharacteristic
102#89763C2211yescharacteristic
103#89763C2211yescharacteristic, complemented
104#89762C2211yescharacteristic
105#89756C2211yescharacteristic, complemented
106#89756C2211yescharacteristic, complemented
107#89748C2211yescharacteristic, complemented
108#89744C2211yescharacteristic, complemented
109#89744C2211yescharacteristic, complemented
110#89733C2211yescharacteristic
111#89733C2211yescharacteristic, complemented
112#89733C2211yescharacteristic, complemented
113#89732C2211yescharacteristic
114#89732C2211yescharacteristic
115#89732C2211yescharacteristic
116#89732C2211yescharacteristic
117#89732C2211yescharacteristic
118#89732C2211yescharacteristic
119#89732C2211yescharacteristic, complemented
120#89732C2211yescharacteristic, complemented
121#89731C2211yescharacteristic
122#89731C2211yescharacteristic
123#89731C2211yescharacteristic
124#89731C2211yescharacteristic
125#89731C2211yescharacteristic, complemented
126#89730C2211yescharacteristic, complemented
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic
129#89729C2211yescharacteristic
130#89729C2211yescharacteristic
131#89729C2211yescharacteristic
132#89729C2211yescharacteristic, complemented
133#89729C2211yescharacteristic, complemented
134#89729C2211yescharacteristic, complemented
135#89729C2211yescharacteristic, complemented
136#89728C2211yescharacteristic
137#89727C2211yescharacteristic
138#89724C2211yescharacteristic
139#89721C2211yescharacteristic
140#89721C2211yescharacteristic
141#89721C2211yescharacteristic, complemented
142#89720C2211yescharacteristic
143#89720C2211yescharacteristic, complemented
144#89718C2211yescharacteristic, complemented
145#89717C2211yescharacteristic, complemented
146#89716C2211yescharacteristic
147#89714C2211yescharacteristic, complemented
148#89712C2211yescharacteristic
149#89712C2211yescharacteristic, complemented
150#89712C2211yescharacteristic, complemented
151#89711C2211yescharacteristic
152#89711C2211yescharacteristic
153C4×(C2×D7)⋊C4C2211yescharacteristic
154C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic7C2211yescharacteristic, complemented
156#89705C2211yescharacteristic, complemented
157#89448C2211yescharacteristic
158#89447C2211yescharacteristic
159#89447C2211yescharacteristic, complemented
160#89446C2211yescharacteristic
161#89444C2211yescharacteristic
162#89444C2211yescharacteristic
163#89444C2211yescharacteristic
164#89444C2211yescharacteristic, complemented
165#89443C2211yescharacteristic
166#89443C2211yescharacteristic
167#89442C2211yescharacteristic
168#89442C2211yescharacteristic
169#89442C2211yescharacteristic, complemented
170#89441C2211yescharacteristic, complemented
171#89440C2211yescharacteristic
172#89440C2211yescharacteristic, complemented
173#89440C2211yescharacteristic, complemented
174#89440C2211yescharacteristic, complemented
175#89440C2211yescharacteristic, complemented
176#89439C2211yescharacteristic, complemented
177#89437C2211yescharacteristic
178#89437C2211yescharacteristic
179#89437C2211yescharacteristic
180#89437C2211yescharacteristic
181#89437C2211yescharacteristic
182#89437C2211yescharacteristic, complemented
183#89433C2211yescharacteristic, complemented
184#89429C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89425C2211yescharacteristic, complemented
187#89424C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#36744—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×D28C2311yescharacteristic
216C22×D28C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C7×#124—24no—
227C7×#117—24no—
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊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×C42×C7C2311yescharacteristic
247C2×C42×C7C2311yescharacteristic
248C2×C42×C7C2311yescharacteristic
249C2×C42×C7C2311yescharacteristic
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
259#6510—24no—
260#6509—24no—
261#6509—42no—
262#6509—42no—
263#6503—42no—
264#6502—24no—
265#6502—42no—
266#6501—42no—
267#6501—42no—
268#6501—42no—
269#6500—24no—
270#6500—42no—
271#6493—24no—
272#6493—24no—
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×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×(C2×D7)⋊C4C2311yescharacteristic
304C2×(C2×D7)⋊C4C2311yescharacteristic
305C2×(C2×D7)⋊C4C2311yescharacteristic
306C2×(C2×D7)⋊C4C2311yescharacteristic
307C2×(C2×D7)⋊C4C2311yescharacteristic
308C2×C4⋊Dic7C2311yescharacteristic
309C2×C4⋊Dic7C2311yescharacteristic
310C2×C4⋊Dic7C2311yescharacteristic
311C2×C4⋊Dic7C2311yescharacteristic
312C2×C4⋊Dic7C2311yescharacteristic
313C2×C4⋊Dic7C2311yescharacteristic
314C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
330C2×Dic7⋊C4C2311yescharacteristic
331C2×Dic7⋊C4C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337#6458—42no—
338#6457—24no—
339#6457—24no—
340#6457—24no—
341#6457—24no—
342#6457—42no—
343#6449—24no—
344#6447—24no—
345#6447—24no—
346#6447—24no—
347#6447—24no—
348#6447—24no—
349#6447—24no—
350#6447—42no—
351#6447—42no—
352#6447—42no—
353#6446—24no—
354#6446—42no—
355#6445—24no—
356#6445—42no—
357#6445—42no—
358(C22⋊D7)⋊C4—24no—
359D7×C22⋊C4—24no—
360#6442—24no—
361#6439—24no—
362#6437—24no—
363C4×D28—24no—
364C4×D28D418yescomplemented
365#6435—42no—
366C42×D7—42no—
367#6433—24no—
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
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#540—71no—
393C2×#538—71no—
394#2856—71no—
395#2854—71no—
396#2721—71no—
397#2714—71no—
398#2694—71no—
399#2681—71no—
400#2680—71no—
401#2678—71no—
402#2676—71no—
403#2675—71no—
404#2673—71no—
405#2673—71no—
406#2672—71no—
407#2671—71no—
408#2671—71no—
409#2669—71no—
410#2669—71no—
411#2668—71no—
412#2661—71no—
413#2661—71no—
414#2610D711yescharacteristic, complemented
415#2603—71no—
416#2602—71no—
417#2601—71no—
418#2540—71no—
419#2539—71no—
420#2414—71no—
421#2411—71no—
422#2290—71no—
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C23×D7—22no—
427C23×D7—41no—
428C23×D7—41no—
429C23×D7—41no—
430C23×D7—41no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7C2411yescharacteristic
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C23×D7C2411yescharacteristic
437C23×D7C2411yescharacteristic
438C2×C7×Q8—22no—
439C2×C7×Q8—41no—
440C2×C7×Q8—41no—
441C2×C7×D4—22no—
442C2×C7×D4—22no—
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—
450C22×C4×C7—22no—
451C22×C4×C7—41no—
452C22×C4×C7—41no—
453C22×C4×C7C2411yescharacteristic
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
464C22×C4×C7C2411yescharacteristic
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—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C2×C22⋊D7—41no—
484C2×C22⋊D7—41no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7—41no—
487C2×C22⋊D7—41no—
488C2×C22⋊D7—41no—
489C2×C22⋊D7—41no—
490C2×C22⋊D7—41no—
491C2×C22⋊D7—41no—
492C2×C22⋊D7—41no—
493C2×C22⋊D7—41no—
494C2×C22⋊D7—41no—
495C2×C22⋊D7—41no—
496C2×C22⋊D7—41no—
497C2×C22⋊D7—41no—
498C2×C22⋊D7—41no—
499C2×C22⋊D7—41no—
500C2×C22⋊D7—41no—
501C2×C22⋊D7—41no—
502C2×C22⋊D7—41no—
503C2×C22⋊D7—41no—
504C22×Dic7—22no—
505C22×Dic7—41no—
506C22×Dic7—41no—
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515C22×Dic7C2411yescharacteristic
516C22×Dic7C2411yescharacteristic
517C22×Dic7C2411yescharacteristic
518C2×D28—22no—
519C2×D28—22no—
520C2×D28—22no—
521C2×D28—22no—
522C2×D28—22no—
523C2×D28—22no—
524C2×D28—22no—
525C2×D28—41no—
526C2×D28—41no—
527C2×D28—41no—
528C2×D28—41no—
529C2×D28—41no—
530C2×D28—41no—
531C2×D28—41no—
532C2×D28—41no—
533C2×D28—41no—
534C2×D28—41no—
535C2×D28—41no—
536C2×D28—41no—
537C2×D28—41no—
538C2×D28—41no—
539C2×D28—41no—
540C2×D28—41no—
541C2×D28—41no—
542C2×D28—41no—
543C2×D28—41no—
544C2×D28C2×D414yes—
545C2×C4×D7—22no—
546C2×C4×D7—22no—
547C2×C4×D7—22no—
548C2×C4×D7—22no—
549C2×C4×D7—22no—
550C2×C4×D7—22no—
551C2×C4×D7—41no—
552C2×C4×D7—41no—
553C2×C4×D7—41no—
554C2×C4×D7—41no—
555C2×C4×D7—41no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×C4×D7—41no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C2×C4×D7—41no—
562C2×C4×D7—41no—
563C2×C4×D7—41no—
564C2×C4×D7C2×D414yes—
565C2×C4×D7C2×D414yes—
566C7×C4⋊C4—22no—
567C7×C4⋊C4—22no—
568C7×C4⋊C4—41no—
569C7×C4⋊C4—41no—
570C7×C22⋊C4—22no—
571C7×C22⋊C4—22no—
572C7×C22⋊C4—22no—
573C7×C22⋊C4—22no—
574C7×C22⋊C4—22no—
575C7×C22⋊C4—22no—
576C7×C22⋊C4—22no—
577C7×C22⋊C4—41no—
578C7×C22⋊C4—41no—
579C7×C22⋊C4—41no—
580C7×C22⋊C4—41no—
581C7×C22⋊C4—41no—
582C7×C22⋊C4—41no—
583C7×C22⋊C4—41no—
584C42×C7—22no—
585C42×C7—22no—
586C42×C7—41no—
587C42×C7C2×D414yes—
588C22⋊Dic7—22no—
589C22⋊Dic7—22no—
590C22⋊Dic7—22no—
591C22⋊Dic7—22no—
592C22⋊Dic7—22no—
593C22⋊Dic7—41no—
594C22⋊Dic7—41no—
595C22⋊Dic7—41no—
596C22⋊Dic7—41no—
597(C2×D7)⋊C4—22no—
598(C2×D7)⋊C4—22no—
599(C2×D7)⋊C4—22no—
600(C2×D7)⋊C4—22no—
601(C2×D7)⋊C4—22no—
602(C2×D7)⋊C4—22no—
603(C2×D7)⋊C4—22no—
604(C2×D7)⋊C4—22no—
605(C2×D7)⋊C4—22no—
606(C2×D7)⋊C4—22no—
607(C2×D7)⋊C4—22no—
608(C2×D7)⋊C4—22no—
609(C2×D7)⋊C4—22no—
610(C2×D7)⋊C4—22no—
611(C2×D7)⋊C4—22no—
612(C2×D7)⋊C4—22no—
613(C2×D7)⋊C4—22no—
614(C2×D7)⋊C4—22no—
615(C2×D7)⋊C4—22no—
616(C2×D7)⋊C4—41no—
617(C2×D7)⋊C4—41no—
618(C2×D7)⋊C4—41no—
619(C2×D7)⋊C4—41no—
620(C2×D7)⋊C4—41no—
621(C2×D7)⋊C4—41no—
622(C2×D7)⋊C4—41no—
623(C2×D7)⋊C4—41no—
624(C2×D7)⋊C4—41no—
625(C2×D7)⋊C4—41no—
626(C2×D7)⋊C4—41no—
627(C2×D7)⋊C4—41no—
628(C2×D7)⋊C4—41no—
629(C2×D7)⋊C4—41no—
630(C2×D7)⋊C4C2×D414yes—
631(C2×D7)⋊C4C2×D414yes—
632C4⋊Dic7—22no—
633C4⋊Dic7—22no—
634C4⋊Dic7—22no—
635C4⋊Dic7—22no—
636C4⋊Dic7—41no—
637C4⋊Dic7—41no—
638C4⋊Dic7C2×D414yes—
639Dic7⋊C4—22no—
640Dic7⋊C4—22no—
641Dic7⋊C4—22no—
642Dic7⋊C4—22no—
643Dic7⋊C4—22no—
644Dic7⋊C4—22no—
645Dic7⋊C4—22no—
646Dic7⋊C4—22no—
647Dic7⋊C4—22no—
648Dic7⋊C4—22no—
649Dic7⋊C4—22no—
650Dic7⋊C4—22no—
651Dic7⋊C4—41no—
652Dic7⋊C4—41no—
653Dic7⋊C4—41no—
654Dic7⋊C4—41no—
655Dic7⋊C4—41no—
656C4×Dic7—22no—
657C4×Dic7—22no—
658C4×Dic7—41no—
659C4×Dic7—41no—
660C4×Dic7—41no—
661#540—148no—
662#538—148no—
663C2×#127—71no—
664C2×#127—71no—
665C2×#126—71no—
666C2×#126—71no—
667C2×#125—71no—
668C2×#124—71no—
669C2×#124C2×D711yescharacteristic
670C2×#123—71no—
671C2×#123—71no—
672C2×#123—71no—
673C2×#123—71no—
674C2×#123—71no—
675C2×#123—71no—
676C2×#123—71no—
677C2×#123—71no—
678C2×C22⋊Q8—71no—
679C2×C22⋊Q8—71no—
680C2×C22⋊Q8—71no—
681C2×#121—71no—
682C2×#121—71no—
683C2×#121—71no—
684C2×#121—71no—
685C2×#121—71no—
686C2×#121—71no—
687C2×#121—71no—
688C2×#121—71no—
689C2×#121—71no—
690C2×#121—71no—
691C2×#121—71no—
692C2×#121—71no—
693C2×#121—71no—
694C2×#121—71no—
695C2×#121—71no—
696C2×#121—71no—
697C2×#121—71no—
698C2×#120—71no—
699C2×#120—71no—
700C2×#120—71no—
701C2×#120—71no—
702C2×#120—71no—
703C2×C4×D4—71no—
704C2×C4×D4—71no—
705C2×C4×D4—71no—
706C2×#117—71no—
707C2×#117C2×D711yescharacteristic, complemented
708C22×C22⋊C4—71no—
709C22×C42—71no—
710#399—71no—
711#399—71no—
712#399—71no—
713#399—71no—
714#398—71no—
715#398—71no—
716#398—71no—
717#398—71no—
718#397—71no—
719#397—71no—
720#397—71no—
721#397—71no—
722#396—71no—
723#396—71no—
724#396—71no—
725#396—71no—
726#395C2×D711yescharacteristic, complemented
727#394—71no—
728#394—71no—
729#394—71no—
730#394—71no—
731#394—71no—
732#394—71no—
733#394—71no—
734#394—71no—
735#394—71no—
736#394—71no—
737#394—71no—
738#394—71no—
739#394—71no—
740#394—71no—
741#394C2×D711yescharacteristic
742#393C2×D711yescharacteristic, complemented
743#392—71no—
744#392—71no—
745#392—71no—
746#392—71no—
747#392—71no—
748#392—71no—
749#392—71no—
750#392—71no—
751#392—71no—
752#392—71no—
753#392—71no—
754#392—71no—
755#392—71no—
756#392—71no—
757#392C2×D711yescharacteristic
758#390—71no—
759#390—71no—
760#390—71no—
761#390—71no—
762#390—71no—
763#390—71no—
764#390—71no—
765#390—71no—
766#390—71no—
767#390—71no—
768#390—71no—
769#390C2×D711yescharacteristic
770#390C2×D711yescharacteristic, complemented
771#389—71no—
772#389—71no—
773#389—71no—
774#388—71no—
775#388—71no—
776#388—71no—
777#388—71no—
778#388—71no—
779#388—71no—
780#388—71no—
781#388—71no—
782#388—71no—
783#388—71no—
784#388C2×D711yescharacteristic
785#388C2×D711yescharacteristic
786#388C2×D711yescharacteristic, complemented
787#388C2×D711yescharacteristic, complemented
788#387—71no—
789#387—71no—
790#387—71no—
791#387—71no—
792#386—71no—
793#386—71no—
794#386—71no—
795#386—71no—
796#386—71no—
797#386—71no—
798#386—71no—
799#386—71no—
800#386—71no—
801#386C2×D711yescharacteristic
802#386C2×D711yescharacteristic, complemented
803#385—71no—
804#385—71no—
805#385—71no—
806#385—71no—
807#385—71no—
808#385—71no—
809#385—71no—
810#384—71no—
811#380—71no—
812#380—71no—
813#379—71no—
814C4×C4⋊C4—71no—
815C4×C22⋊C4—71no—
816C4×C22⋊C4—71no—
817#376C2×D711yescharacteristic, complemented
818C23×C7—21no—
819C23×C7—21no—
820C23×C7—21no—
821C23×C7—21no—
822C23×C7—21no—
823C23×C7—21no—
824C23×C7—21no—
825C23×C7—21no—
826C23×C7—21no—
827C23×C7—21no—
828C23×C7—21no—
829C23×C7—21no—
830C23×C7—21no—
831C23×C7—21no—
832C23×C7—21no—
833C23×C7—21no—
834C23×C7—21no—
835C23×C7—21no—
836C23×C7—21no—
837C23×C7—21no—
838C23×C7—21no—
839C23×C7C2511yescharacteristic
840C22×D7—21no—
841C22×D7—21no—
842C22×D7—21no—
843C22×D7—21no—
844C22×D7—21no—
845C22×D7—21no—
846C22×D7—21no—
847C22×D7—21no—
848C22×D7—21no—
849C22×D7—21no—
850C22×D7—21no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
855C22×D7—21no—
856C22×D7—21no—
857C22×D7—21no—
858C22×D7—21no—
859C22×D7—21no—
860C22×D7—21no—
861C22×D7—21no—
862C22×D7—21no—
863C22×D7—21no—
864C22×D7—21no—
865C22×D7—21no—
866C22×D7—21no—
867C22×D7—21no—
868C22×D7—21no—
869C22×D7—21no—
870C22×D7—21no—
871C22×D7—21no—
872C22×D7—21no—
873C22×D7—44no—
874C22×D7—82no—
875C22×D7—82no—
876C22×D7—82no—
877C22×D7—82no—
878C22×D7—82no—
879C22×D7—82no—
880C22×D7C22×D412yes—
881C22×D7C22×D412yes—
882C7×Q8—82no—
883C7×D4—82no—
884C7×D4—82no—
885C7×D4—82no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—21no—
892C2×C4×C7—21no—
893C2×C4×C7—21no—
894C2×C4×C7—21no—
895C2×C4×C7—21no—
896C2×C4×C7—21no—
897C2×C4×C7—21no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—21no—
901C2×C4×C7—21no—
902C2×C4×C7—21no—
903C2×C4×C7—21no—
904C2×C4×C7—21no—
905C2×C4×C7—21no—
906C2×C4×C7—21no—
907C2×C4×C7—21no—
908C2×C4×C7—21no—
909C2×C4×C7—21no—
910C2×C4×C7—21no—
911C2×C4×C7—21no—
912C2×C4×C7—21no—
913C2×C4×C7—21no—
914C2×C4×C7—21no—
915C2×C4×C7—21no—
916C2×C4×C7—21no—
917C2×C4×C7—21no—
918C2×C4×C7—44no—
919C2×C4×C7C22×D412yes—
920C2×C4×C7C22×D412yes—
921C2×C4×C7C22×D412yes—
922C2×C4×C7H(5,𝔽2)12yes—
923C22⋊D7—44no—
924C22⋊D7—82no—
925C22⋊D7—82no—
926C22⋊D7—82no—
927C22⋊D7—82no—
928C22⋊D7—82no—
929C22⋊D7—82no—
930C22⋊D7—82no—
931C22⋊D7—82no—
932C22⋊D7—82no—
933C22⋊D7—82no—
934C22⋊D7—82no—
935C22⋊D7—82no—
936C2×Dic7—21no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—21no—
940C2×Dic7—21no—
941C2×Dic7—21no—
942C2×Dic7—21no—
943C2×Dic7—21no—
944C2×Dic7—21no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—21no—
963C2×Dic7—21no—
964C2×Dic7—21no—
965C2×Dic7—82no—
966C2×Dic7C22×D412yes—
967C2×Dic7C22×D412yes—
968C2×Dic7H(5,𝔽2)12yes—
969C2×Dic7H(5,𝔽2)12yes—
970D28—44no—
971D28—44no—
972D28—82no—
973D28—82no—
974D28—82no—
975D28—82no—
976D28—82no—
977D28—82no—
978D28—82no—
979C4×D7—44no—
980C4×D7—44no—
981C4×D7—44no—
982C4×D7—44no—
983C4×D7—82no—
984C4×D7—82no—
985C4×D7—82no—
986C25—71no—
987C22×Q8C22×D711yescharacteristic
988C22×D4—71no—
989C22×D4—71no—
990C22×D4—71no—
991C22×D4—71no—
992C22×D4—71no—
993C22×D4—71no—
994C22×D4—71no—
995C22×D4—71no—
996C22×D4—71no—
997C22×D4—71no—
998C22×D4—71no—
999C22×D4—71no—
1000C22×D4—71no—
1001C22×D4—71no—
1002C22×D4—71no—
1003C22×D4—71no—
1004C22×D4—71no—
1005C22×D4—71no—
1006C22×D4—71no—
1007C22×D4—71no—
1008C22×D4—71no—
1009C22×D4—71no—
1010C22×D4C22×D711yescharacteristic
1011C22×D4C22×D711yescharacteristic
1012C22×D4C22×D711yescharacteristic
1013C23×C4—71no—
1014C23×C4—71no—
1015C23×C4—71no—
1016C23×C4—71no—
1017C23×C4—71no—
1018C23×C4—71no—
1019C23×C4—71no—
1020C23×C4—71no—
1021C23×C4C22×D711yescharacteristic
1022#127—144no—
1023#127—282no—
1024#126—144no—
1025#126—144no—
1026#125—144no—
1027#124—24no—
1028#124—144no—
1029#123—144no—
1030#123—144no—
1031#123—144no—
1032#123—144no—
1033#123—144no—
1034#123—144no—
1035#123—282no—
1036#123—282no—
1037C22⋊Q8—144no—
1038C22⋊Q8—282no—
1039C22⋊Q8—282no—
1040#121—144no—
1041#121—144no—
1042#121—144no—
1043#121—144no—
1044#121—144no—
1045#121—144no—
1046#121—144no—
1047#121—144no—
1048#121—144no—
1049#121—282no—
1050#121—282no—
1051#121—282no—
1052#121—282no—
1053#121—282no—
1054#121—282no—
1055#121—282no—
1056#121—282no—
1057#120—144no—
1058#120—144no—
1059#120—282no—
1060#120—282no—
1061#120—282no—
1062C4×D4—78no—
1063C4×D4—144no—
1064C4×D4—144no—
1065#117—24no—
1066#117—282no—
1067C2×C4⋊C4—71no—
1068C2×C4⋊C4—71no—
1069C2×C4⋊C4—71no—
1070C2×C4⋊C4—71no—
1071C2×C4⋊C4—71no—
1072C2×C4⋊C4—71no—
1073C2×C4⋊C4—71no—
1074C2×C4⋊C4—71no—
1075C2×C4⋊C4—71no—
1076C2×C4⋊C4—71no—
1077C2×C4⋊C4—71no—
1078C2×C4⋊C4—71no—
1079C2×C4⋊C4—71no—
1080C2×C4⋊C4—71no—
1081C2×C4⋊C4—71no—
1082C2×C4⋊C4—71no—
1083C2×C4⋊C4—71no—
1084C2×C4⋊C4—71no—
1085C2×C4⋊C4—71no—
1086C2×C4⋊C4—71no—
1087C2×C4⋊C4—71no—
1088C2×C4⋊C4—71no—
1089C2×C4⋊C4—71no—
1090C2×C4⋊C4—71no—
1091C2×C4⋊C4C22×D711yescharacteristic
1092C2×C4⋊C4C22×D711yescharacteristic
1093C2×C4⋊C4C22×D711yescharacteristic
1094C2×C4⋊C4C22×D711yescharacteristic
1095C2×C22⋊C4—71no—
1096C2×C22⋊C4—71no—
1097C2×C22⋊C4—71no—
1098C2×C22⋊C4—71no—
1099C2×C22⋊C4—71no—
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—71no—
1103C2×C22⋊C4—71no—
1104C2×C22⋊C4—71no—
1105C2×C22⋊C4—71no—
1106C2×C22⋊C4—71no—
1107C2×C22⋊C4—71no—
1108C2×C22⋊C4—71no—
1109C2×C22⋊C4—71no—
1110C2×C22⋊C4—71no—
1111C2×C22⋊C4—71no—
1112C2×C22⋊C4—71no—
1113C2×C22⋊C4—71no—
1114C2×C22⋊C4—71no—
1115C2×C22⋊C4—71no—
1116C2×C22⋊C4—71no—
1117C2×C22⋊C4—71no—
1118C2×C22⋊C4—71no—
1119C2×C22⋊C4—71no—
1120C2×C22⋊C4—71no—
1121C2×C22⋊C4—71no—
1122C2×C22⋊C4—71no—
1123C2×C22⋊C4—71no—
1124C2×C22⋊C4—71no—
1125C2×C22⋊C4—71no—
1126C2×C22⋊C4—71no—
1127C2×C22⋊C4—71no—
1128C2×C22⋊C4—71no—
1129C2×C22⋊C4—71no—
1130C2×C22⋊C4—71no—
1131C2×C22⋊C4—71no—
1132C2×C22⋊C4—71no—
1133C2×C22⋊C4—71no—
1134C2×C22⋊C4—71no—
1135C2×C22⋊C4—71no—
1136C2×C22⋊C4—71no—
1137C2×C22⋊C4—71no—
1138C2×C22⋊C4—71no—
1139C2×C22⋊C4—144no—
1140C2×C22⋊C4C22×D711yescharacteristic
1141C2×C22⋊C4C22×D711yescharacteristic
1142C2×C22⋊C4C22×D711yescharacteristic
1143C2×C22⋊C4C22×D711yescharacteristic
1144C2×C22⋊C4C22×D711yescharacteristic
1145C2×C22⋊C4C22×D711yescharacteristic
1146C2×C22⋊C4C22×D711yescharacteristic
1147C2×C22⋊C4C22×D711yescharacteristic
1148C2×C22⋊C4C22×D711yescharacteristic
1149C2×C22⋊C4C22×D711yescharacteristic
1150C2×C22⋊C4C22×D711yescharacteristic
1151C2×C22⋊C4C22×D711yescharacteristic
1152C2×C22⋊C4C22×D711yescharacteristic
1153C2×C22⋊C4C22×D711yescharacteristic
1154C2×C42—71no—
1155C2×C42—71no—
1156C2×C42—71no—
1157C2×C42—71no—
1158C2×C42—71no—
1159C2×C42—282no—
1160C2×C42C22×D711yescharacteristic
1161C2×C42C22×D711yescharacteristic
1162C2×C42C22×D711yescharacteristic
1163C2×C42C22×D711yescharacteristic
1164#95—71no—
1165#95—71no—
1166#95—71no—
1167#95—71no—
1168#95—71no—
1169#95—71no—
1170#95—71no—
1171#95—71no—
1172#95—71no—
1173#95—71no—
1174#95—71no—
1175#95—71no—
1176#95—71no—
1177#95—71no—
1178#95—71no—
1179#95—71no—
1180#95C22×D711yescharacteristic
1181#95C22×D711yescharacteristic
1182#95C22×D711yescharacteristic
1183#95C22×D711yescharacteristic
1184#95C22×D711yescharacteristic
1185#95C22×D711yescharacteristic
1186#95C22×D711yescharacteristic
1187#95C22×D711yescharacteristic
1188C22×C7—41no—
1189C22×C7—41no—
1190C22×C7—41no—
1191C22×C7—41no—
1192C22×C7—41no—
1193C22×C7—41no—
1194C22×C7—41no—
1195C22×C7—41no—
1196C22×C7—41no—
1197C22×C7—41no—
1198C22×C7—41no—
1199C22×C7—41no—
1200C22×C7—41no—
1201C22×C7—41no—
1202C22×C7—41no—
1203C22×C7—41no—
1204C22×C7—41no—
1205C22×C7—41no—
1206C22×C7—41no—
1207C22×C7—41no—
1208C22×C7—41no—
1209C22×C7C23×D411yescharacteristic
1210C22×C7C2×H(5,𝔽2)11yescharacteristic
1211C22×C7C2×H(5,𝔽2)11yescharacteristic
1212C22×C7C2×H(5,𝔽2)11yescharacteristic
1213C22×C7#58511yescharacteristic
1214C22×C7#58511yescharacteristic
1215C22×C7#58511yescharacteristic
1216C2×D7—22no—
1217C2×D7—22no—
1218C2×D7—22no—
1219C2×D7—22no—
1220C2×D7—22no—
1221C2×D7—22no—
1222C2×D7—41no—
1223C2×D7—41no—
1224C2×D7—41no—
1225C2×D7—41no—
1226C2×D7—41no—
1227C2×D7—41no—
1228C2×D7—41no—
1229C2×D7—41no—
1230C2×D7—41no—
1231C2×D7—41no—
1232C2×D7—41no—
1233C2×D7—41no—
1234C2×D7—41no—
1235C2×D7—41no—
1236C2×D7—41no—
1237C2×D7—41no—
1238C2×D7—41no—
1239C2×D7—41no—
1240C2×D7—41no—
1241C2×D7—41no—
1242C2×D7—41no—
1243C2×D7—41no—
1244C2×D7—41no—
1245C2×D7—41no—
1246C2×D7—41no—
1247C2×D7—41no—
1248C2×D7—41no—
1249C2×D7—41no—
1250C2×D7—41no—
1251C2×D7—88no—
1252C4×C7—22no—
1253C4×C7—22no—
1254C4×C7—22no—
1255C4×C7—22no—
1256C4×C7—41no—
1257C4×C7—41no—
1258C4×C7—41no—
1259C4×C7—41no—
1260C4×C7—41no—
1261C4×C7—41no—
1262C4×C7—41no—
1263C4×C7—41no—
1264Dic7—22no—
1265Dic7—22no—
1266Dic7—22no—
1267Dic7—22no—
1268Dic7—41no—
1269Dic7—41no—
1270Dic7—41no—
1271Dic7—41no—
1272Dic7—41no—
1273Dic7—41no—
1274Dic7—41no—
1275C24—71no—
1276C24—71no—
1277C24—71no—
1278C24—71no—
1279C24—71no—
1280C24—142no—
1281C24—281no—
1282C24—281no—
1283C24—281no—
1284C24—281no—
1285C24—281no—
1286C24—281no—
1287C24C23×D711yescharacteristic
1288C24C23×D711yescharacteristic
1289C24C23×D711yescharacteristic
1290C2×Q8—22no—
1291C2×Q8—41no—
1292C2×Q8—41no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—74no—
1303C2×D4—142no—
1304C2×D4—142no—
1305C2×D4—142no—
1306C2×D4—142no—
1307C2×D4—142no—
1308C2×D4—142no—
1309C2×D4—142no—
1310C2×D4—142no—
1311C2×D4—142no—
1312C2×D4—142no—
1313C2×D4—142no—
1314C2×D4—142no—
1315C2×D4—142no—
1316C2×D4—142no—
1317C2×D4—142no—
1318C2×D4—142no—
1319C2×D4—142no—
1320C2×D4—142no—
1321C2×D4—281no—
1322C2×D4—281no—
1323C2×D4—281no—
1324C2×D4—281no—
1325C2×D4—281no—
1326C2×D4—281no—
1327C2×D4—281no—
1328C2×D4—281no—
1329C2×D4—281no—
1330C2×D4—281no—
1331C2×D4—281no—
1332C2×D4—281no—
1333C2×D4—281no—
1334C2×D4—281no—
1335C2×D4—281no—
1336C2×D4—281no—
1337C2×D4—281no—
1338C2×D4—281no—
1339C2×D4—281no—
1340C2×D4—281no—
1341C2×D4—281no—
1342C2×D4—281no—
1343C2×D4—281no—
1344C2×D4—281no—
1345C2×D4—281no—
1346C2×D4—281no—
1347C2×D4—281no—
1348C2×D4—281no—
1349C2×D4—281no—
1350C2×D4—281no—
1351C2×D4—281no—
1352C2×D4—281no—
1353C2×D4—281no—
1354C2×D4—281no—
1355C2×D4—281no—
1356C2×D4—281no—
1357C2×D4—281no—
1358C2×D4—281no—
1359C2×D4—281no—
1360C2×D4—281no—
1361C2×D4—281no—
1362C2×D4—281no—
1363C2×D4—281no—
1364C2×D4—281no—
1365C2×D4—281no—
1366C2×D4—281no—
1367C2×D4—281no—
1368C22×C4—22no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—71no—
1372C22×C4—71no—
1373C22×C4—71no—
1374C22×C4—71no—
1375C22×C4—74no—
1376C22×C4—74no—
1377C22×C4—71no—
1378C22×C4—71no—
1379C22×C4—71no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—142no—
1385C22×C4—142no—
1386C22×C4—142no—
1387C22×C4—142no—
1388C22×C4—142no—
1389C22×C4—142no—
1390C22×C4—142no—
1391C22×C4—281no—
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×C4C23×D711yescharacteristic
1407C22×C4C23×D711yescharacteristic
1408C22×C4C23×D711yescharacteristic
1409C22×C4C23×D711yescharacteristic
1410C22×C4C23×D711yescharacteristic
1411C22×C4C23×D711yescharacteristic
1412C22×C4C23×D711yescharacteristic
1413C22×C4C23×D711yescharacteristic
1414C22×C4C23×D711yescharacteristic
1415C22×C4C23×D711yescharacteristic
1416C22×C4C23×D711yescharacteristic
1417C22×C4C23×D711yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—74no—
1423C4⋊C4—142no—
1424C4⋊C4—142no—
1425C4⋊C4—142no—
1426C4⋊C4—142no—
1427C4⋊C4—142no—
1428C4⋊C4—142no—
1429C4⋊C4—142no—
1430C4⋊C4—142no—
1431C4⋊C4—142no—
1432C4⋊C4—142no—
1433C4⋊C4—142no—
1434C4⋊C4—142no—
1435C4⋊C4—142no—
1436C4⋊C4—142no—
1437C4⋊C4—142no—
1438C4⋊C4—142no—
1439C4⋊C4—281no—
1440C4⋊C4—281no—
1441C4⋊C4—281no—
1442C4⋊C4—281no—
1443C4⋊C4—281no—
1444C4⋊C4—281no—
1445C4⋊C4—281no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—74no—
1461C22⋊C4—74no—
1462C22⋊C4—142no—
1463C22⋊C4—142no—
1464C22⋊C4—142no—
1465C22⋊C4—142no—
1466C22⋊C4—142no—
1467C22⋊C4—142no—
1468C22⋊C4—142no—
1469C22⋊C4—142no—
1470C22⋊C4—142no—
1471C22⋊C4—142no—
1472C22⋊C4—142no—
1473C22⋊C4—142no—
1474C22⋊C4—142no—
1475C22⋊C4—142no—
1476C22⋊C4—142no—
1477C22⋊C4—142no—
1478C22⋊C4—142no—
1479C22⋊C4—142no—
1480C22⋊C4—142no—
1481C22⋊C4—142no—
1482C22⋊C4—142no—
1483C22⋊C4—142no—
1484C22⋊C4—142no—
1485C22⋊C4—142no—
1486C22⋊C4—281no—
1487C22⋊C4—281no—
1488C22⋊C4—281no—
1489C22⋊C4—281no—
1490C22⋊C4—281no—
1491C22⋊C4—281no—
1492C22⋊C4—281no—
1493C22⋊C4—281no—
1494C22⋊C4—281no—
1495C22⋊C4—281no—
1496C22⋊C4—281no—
1497C22⋊C4—281no—
1498C22⋊C4—281no—
1499C22⋊C4—281no—
1500C22⋊C4—281no—
1501C22⋊C4—281no—
1502C22⋊C4—281no—
1503C22⋊C4—281no—
1504C42—22no—
1505C42—22no—
1506C42—41no—
1507C42—142no—
1508C42—142no—
1509C42—281no—
1510C42—281no—
1511C42—281no—
1512C42D4×D714yes—
1513C2×C7—81no—
1514C2×C7—81no—
1515C2×C7—81no—
1516C2×C7#344911yescharacteristic
1517C2×C7#349611yescharacteristic
1518C2×C7#349811yescharacteristic
1519C2×C7#353411yescharacteristic
1520C2×C7#354211yescharacteristic
1521C2×C7#355111yescharacteristic
1522C2×C7#356211yescharacteristic
1523D7—42no—
1524D7—42no—
1525D7—81no—
1526D7—81no—
1527D7—81no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—72no—
1550C23—72no—
1551C23—141no—
1552C23—141no—
1553C23—141no—
1554C23—141no—
1555C23—141no—
1556C23—141no—
1557C23—141no—
1558C23—141no—
1559C23—141no—
1560C23—141no—
1561C23—141no—
1562C23—141no—
1563C23—141no—
1564C23—141no—
1565C23—141no—
1566C23—141no—
1567C23—141no—
1568C23—141no—
1569C23—141no—
1570C23—141no—
1571C23—141no—
1572C23—141no—
1573C23—141no—
1574C23—141no—
1575C23—141no—
1576C23—141no—
1577C23—141no—
1578C23—141no—
1579C23—141no—
1580C23—141no—
1581C23—141no—
1582C23—141no—
1583C23—141no—
1584C23—284no—
1585C23—562no—
1586C23—562no—
1587C23—562no—
1588C23—562no—
1589C23—562no—
1590C23—562no—
1591C23C24×D711yescharacteristic
1592Q8—82no—
1593D4—82no—
1594D4—82no—
1595D4—82no—
1596D4—284no—
1597D4—284no—
1598D4—284no—
1599D4—562no—
1600D4—562no—
1601D4—562no—
1602D4—562no—
1603D4—562no—
1604D4—562no—
1605D4—562no—
1606D4—562no—
1607D4—562no—
1608D4—562no—
1609D4—562no—
1610D4—562no—
1611D4—562no—
1612D4—562no—
1613D4—562no—
1614D4—562no—
1615D4—562no—
1616D4—562no—
1617D4—562no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—44no—
1651C2×C4—72no—
1652C2×C4—72no—
1653C2×C4—72no—
1654C2×C4—72no—
1655C2×C4—141no—
1656C2×C4—141no—
1657C2×C4—141no—
1658C2×C4—141no—
1659C2×C4—141no—
1660C2×C4—141no—
1661C2×C4—141no—
1662C2×C4—141no—
1663C2×C4—141no—
1664C2×C4—141no—
1665C2×C4—141no—
1666C2×C4—141no—
1667C2×C4—141no—
1668C2×C4—141no—
1669C2×C4—141no—
1670C2×C4—141no—
1671C2×C4—141no—
1672C2×C4—141no—
1673C2×C4—141no—
1674C2×C4—141no—
1675C2×C4—141no—
1676C2×C4—141no—
1677C2×C4—141no—
1678C2×C4—141no—
1679C2×C4—141no—
1680C2×C4—141no—
1681C2×C4—141no—
1682C2×C4—141no—
1683C2×C4—141no—
1684C2×C4—284no—
1685C2×C4—284no—
1686C2×C4—284no—
1687C2×C4—284no—
1688C2×C4—562no—
1689C2×C4—562no—
1690C2×C4—562no—
1691C2×C4—562no—
1692C2×C4C2×D4×D712yes—
1693C2×C4C2×D4×D712yes—
1694C2×C4C2×D4×D712yes—
1695C2×C4#655312yes—
1696C7#3674411yescharacteristic, complemented, Sylow
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—142no—
1719C22—142no—
1720C22—142no—
1721C22—142no—
1722C22—142no—
1723C22—142no—
1724C22—281no—
1725C22—281no—
1726C22—281no—
1727C22—281no—
1728C22—281no—
1729C22—281no—
1730C22—281no—
1731C22—281no—
1732C22—281no—
1733C22—281no—
1734C22—281no—
1735C22—281no—
1736C22—281no—
1737C22—281no—
1738C22—281no—
1739C22—281no—
1740C22—281no—
1741C22—281no—
1742C22—281no—
1743C22—281no—
1744C22—281no—
1745C22—281no—
1746C22—281no—
1747C22—281no—
1748C22—281no—
1749C22—281no—
1750C22—281no—
1751C22—281no—
1752C22—281no—
1753C22—568no—
1754C22C22×D4×D711yescharacteristic
1755C22C2×#655311yescharacteristic
1756C22#9061611yescharacteristic
1757C22#9061611yescharacteristic
1758C22#9061611yescharacteristic
1759C22D7×H(5,𝔽2)11yescharacteristic
1760C22D7×H(5,𝔽2)11yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—142no—
1774C4—142no—
1775C4—142no—
1776C4—142no—
1777C4—281no—
1778C4—281no—
1779C4—281no—
1780C4—281no—
1781C4—281no—
1782C4—281no—
1783C4—281no—
1784C2—81no—
1785C2—81no—
1786C2—81no—
1787C2—282no—
1788C2—282no—
1789C2—561no—
1790C2—561no—
1791C2—561no—
1792C2#1174310311yescharacteristic
1793C2#1174330911yescharacteristic
1794C2#1174338411yescharacteristic
1795C2#1174386911yescharacteristic
1796C2#1174387711yescharacteristic
1797C2#1174403411yescharacteristic
1798C2#1174403711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2610C2
hypercenter#2610D7
hypocenterC7#36744
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2610

Complements

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

NH ≅ G/Ntype
1. C2×#90369C2semidirect
2. C2×#90226C2semidirect
3. C7×#2610C2semidirect
4. #11740443C2semidirect
5. #11739704C2semidirect
6. #11734707C2semidirect
7. #11734704C2semidirect
8. #11734582C2semidirect
9. #11734576C2semidirect
10. #11734320C2semidirect
11. #11734267C2semidirect
12. #11734215C2semidirect
13. #11734210C2semidirect
14. #11733921C2semidirect
15. #11733905C2semidirect
16. #11733899C2semidirect
17. #11733756C2semidirect
18. #11733405C2semidirect
19. #11733359C2semidirect
20. #11733357C2semidirect
21. #11733355C2semidirect
22. #11733287C2semidirect
23. #11733145C2semidirect
24. #11733120C2semidirect
25. #11733090C2semidirect
26. #11732358C2semidirect
27. #11732356C2semidirect
28. #11732268C2semidirect
29. #11732237C2semidirect
30. #11730870C2semidirect
31. #11730859C2semidirect
33. C2×C7×#117C22semidirect
36. C2×#6509C22semidirect
37. C2×#6509C22semidirect
40. C2×#6502C22semidirect
43. C2×#6501C22semidirect
47. C2×#6493C22semidirect
54. C2×#6457C22semidirect
55. C2×#6457C22semidirect
63. C2×#6447C22semidirect
64. C2×#6447C22semidirect
65. C2×#6447C22semidirect
77. C2×C4×D28C22semidirect
79. C2×C42×D7C22semidirect
80. C2×#6433C22semidirect
81. C7×#395C22semidirect
83. C7×#393C22semidirect
86. C7×#390C22semidirect
89. C7×#388C22semidirect
90. C7×#388C22semidirect
92. C7×#386C22semidirect
93. C7×#376C22semidirect
99. #89982C22semidirect
103. #89763C22semidirect
105. #89756C22semidirect
106. #89756C22semidirect
107. #89748C22semidirect
108. #89744C22semidirect
109. #89744C22semidirect
111. #89733C22semidirect
112. #89733C22semidirect
119. #89732C22semidirect
120. #89732C22semidirect
125. #89731C22semidirect
126. #89730C22semidirect
132. #89729C22semidirect
133. #89729C22semidirect
134. #89729C22semidirect
135. #89729C22semidirect
141. #89721C22semidirect
143. #89720C22semidirect
144. #89718C22semidirect
145. #89717C22semidirect
147. #89714C22semidirect
149. #89712C22semidirect
150. #89712C22semidirect
154. C4×(C2×D7)⋊C4C22semidirect
155. C4×C4⋊Dic7C22semidirect
156. #89705C22semidirect
159. #89447C22semidirect
164. #89444C22semidirect
169. #89442C22semidirect
170. #89441C22semidirect
172. #89440C22semidirect
173. #89440C22semidirect
174. #89440C22semidirect
175. #89440C22semidirect
176. #89439C22semidirect
182. #89437C22semidirect
183. #89433C22semidirect
184. #89429C22semidirect
185. #89425C22semidirect
186. #89425C22semidirect
187. #89424C22semidirect
188. #89419C22semidirect
364. C4×D28D4semidirect
414. #2610D7semidirect
707. C2×#117C2×D7semidirect
726. #395C2×D7semidirect
742. #393C2×D7semidirect
770. #390C2×D7semidirect
786. #388C2×D7semidirect
787. #388C2×D7semidirect
802. #386C2×D7semidirect
817. #376C2×D7semidirect
1696. C7#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#903692
C2×#902262
C7×#26102
#117404432
#117397042
#117347072
#117347042
#117345822
#117345762
#117343202
#117342672
#117342152
#117342102
#117339212
#117339052
#117338992
#117337562
#117334052
#117333592
#117333572
#117333552
#117332872
#117331452
#117331202
#117330902
#117323582
#117323562
#117322682
#117322372
#117308702
#117308592
#367447