Finite Group Databasebeta

← #13561308

Subgroups — #13561308

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×#90308C211yesmaximal, characteristic, complemented
2C2×#90310C211yesmaximal, characteristic, complemented
3C7×#2671C211yesmaximal, characteristic, complemented
4#11740346C211yesmaximal, characteristic, complemented
5#11740317C211yesmaximal, characteristic, complemented
6#11740163C211yesmaximal, characteristic, complemented
7#11740158C211yesmaximal, characteristic, complemented
8#11740145C211yesmaximal, characteristic, complemented
9#11740128C211yesmaximal, characteristic, complemented
10#11735509C211yesmaximal, characteristic, complemented
11#11735481C211yesmaximal, characteristic, complemented
12#11735307C211yesmaximal, characteristic, complemented
13#11735257C211yesmaximal, characteristic, complemented
14#11734581C211yesmaximal, characteristic, complemented
15#11734580C211yesmaximal, characteristic, complemented
16#11734575C211yesmaximal, characteristic, complemented
17#11734439C211yesmaximal, characteristic, complemented
18#11734439C211yesmaximal, characteristic, complemented
19#11734410C211yesmaximal, characteristic, complemented
20#11734210C211yesmaximal, characteristic, complemented
21#11734115C211yesmaximal, characteristic, complemented
22#11732357C211yesmaximal, characteristic, complemented
23#11732237C211yesmaximal, characteristic, complemented
24#11732225C211yesmaximal, characteristic, complemented
25#11732102C211yesmaximal, characteristic, complemented
26#11732076C211yesmaximal, characteristic, complemented
27#11732047C211yesmaximal, characteristic, complemented
28#11731975C211yesmaximal, characteristic, complemented
29#11731943C211yesmaximal, characteristic, complemented
30#11731481C211yesmaximal, characteristic, complemented
31#11731444C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic
33C2×C7×#121C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic, complemented
36C2×#6503C2211yescharacteristic
37C2×#6503C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic, complemented
43C2×#6502C2211yescharacteristic, complemented
44C2×#6502C2211yescharacteristic, complemented
45C2×#6501C2211yescharacteristic
46C2×#6501C2211yescharacteristic, complemented
47C2×#6500C2211yescharacteristic
48C2×#6500C2211yescharacteristic
49C2×#6500C2211yescharacteristic
50C2×D4×Dic7C2211yescharacteristic
51C2×D4×Dic7C2211yescharacteristic
52C2×#6493C2211yescharacteristic
53C2×#6493C2211yescharacteristic
54C2×#6493C2211yescharacteristic, complemented
55C2×#6492C2211yescharacteristic
56C22×(C2×D7)⋊C4C2211yescharacteristic
57C2×#6489C2211yescharacteristic, complemented
58C2×#6487C2211yescharacteristic
59C22×C4×Dic7C2211yescharacteristic, complemented
60#90310—28no—
61#90308—28no—
62C2×#6461C2211yescharacteristic
63C2×#6461C2211yescharacteristic
64C2×#6459C2211yescharacteristic, complemented
65C2×#6459C2211yescharacteristic, complemented
66C2×#6456C2211yescharacteristic, complemented
67C2×#6453C2211yescharacteristic, complemented
68C2×#6449C2211yescharacteristic
69C2×#6449C2211yescharacteristic
70C2×#6449C2211yescharacteristic
71C2×#6449C2211yescharacteristic, complemented
72C2×#6448C2211yescharacteristic
73C2×#6448C2211yescharacteristic
74C2×#6447C2211yescharacteristic
75C2×#6447C2211yescharacteristic
76C2×#6446C2211yescharacteristic
77C2×#6446C2211yescharacteristic, complemented
78C2×#6445C2211yescharacteristic
79C2×#6445C2211yescharacteristic
80C2×#6440C2211yescharacteristic
81C7×#399C2211yescharacteristic, complemented
82C7×#398C2211yescharacteristic, complemented
83C7×#394C2211yescharacteristic
84C7×#394C2211yescharacteristic, complemented
85C7×#394C2211yescharacteristic, complemented
86C7×#392C2211yescharacteristic
87C7×#386C2211yescharacteristic
88C7×#386C2211yescharacteristic, complemented
89C7×#385C2211yescharacteristic
90C7×#385C2211yescharacteristic, complemented
91C7×#380C2211yescharacteristic, complemented
92#89995C2211yescharacteristic
93#89995C2211yescharacteristic
94#89995C2211yescharacteristic
95#89995C2211yescharacteristic
96#89995C2211yescharacteristic, complemented
97#89994C2211yescharacteristic
98#89993C2211yescharacteristic, complemented
99#89992C2211yescharacteristic
100#89985C2211yescharacteristic
101#89985C2211yescharacteristic
102#89985C2211yescharacteristic
103#89982C2211yescharacteristic, complemented
104#89766C2211yescharacteristic
105#89766C2211yescharacteristic
106#89766C2211yescharacteristic
107#89765C2211yescharacteristic
108#89764C2211yescharacteristic
109#89764C2211yescharacteristic
110#89764C2211yescharacteristic
111#89763C2211yescharacteristic, complemented
112#89762C2211yescharacteristic, complemented
113#89761C2211yescharacteristic, complemented
114#89761C2211yescharacteristic, complemented
115#89760C2211yescharacteristic
116#89760C2211yescharacteristic
117#89760C2211yescharacteristic
118#89760C2211yescharacteristic
119#89760C2211yescharacteristic
120#89757C2211yescharacteristic, complemented
121#89757C2211yescharacteristic, complemented
122#89756C2211yescharacteristic, complemented
123#89756C2211yescharacteristic, complemented
124#89750C2211yescharacteristic, complemented
125#89748C2211yescharacteristic, complemented
126#89733C2211yescharacteristic
127#89733C2211yescharacteristic
128#89733C2211yescharacteristic
129#89733C2211yescharacteristic
130#89733C2211yescharacteristic, complemented
131#89732C2211yescharacteristic
132#89732C2211yescharacteristic
133#89732C2211yescharacteristic
134#89732C2211yescharacteristic
135#89732C2211yescharacteristic
136#89732C2211yescharacteristic
137#89732C2211yescharacteristic, complemented
138#89731C2211yescharacteristic
139#89731C2211yescharacteristic
140#89731C2211yescharacteristic, complemented
141#89730C2211yescharacteristic
142#89730C2211yescharacteristic, complemented
143#89730C2211yescharacteristic, complemented
144#89729C2211yescharacteristic
145#89729C2211yescharacteristic
146#89729C2211yescharacteristic
147#89729C2211yescharacteristic, complemented
148#89729C2211yescharacteristic, complemented
149#89729C2211yescharacteristic, complemented
150#89729C2211yescharacteristic, complemented
151#89727C2211yescharacteristic
152#89724C2211yescharacteristic
153#89723C2211yescharacteristic, complemented
154#89723C2211yescharacteristic, complemented
155#89722C2211yescharacteristic, complemented
156#89720C2211yescharacteristic, complemented
157#89719C2211yescharacteristic, complemented
158#89718C2211yescharacteristic, complemented
159#89717C2211yescharacteristic
160#89716C2211yescharacteristic
161#89716C2211yescharacteristic, complemented
162#89714C2211yescharacteristic, complemented
163C22⋊C4×Dic7C2211yescharacteristic
164C22⋊C4×Dic7C2211yescharacteristic, complemented
165#89447C2211yescharacteristic
166#89447C2211yescharacteristic, complemented
167#89444C2211yescharacteristic
168#89444C2211yescharacteristic
169#89443C2211yescharacteristic
170#89443C2211yescharacteristic
171#89442C2211yescharacteristic
172#89442C2211yescharacteristic
173#89442C2211yescharacteristic
174#89442C2211yescharacteristic
175#89442C2211yescharacteristic
176#89442C2211yescharacteristic, complemented
177#89442C2211yescharacteristic, complemented
178#89442C2211yescharacteristic, complemented
179#89437C2211yescharacteristic
180#89437C2211yescharacteristic
181#89429C2211yescharacteristic, complemented
182#89428C2211yescharacteristic, complemented
183#89427C2211yescharacteristic, complemented
184#89426C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89421C2211yescharacteristic, complemented
187#89420C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#36744—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
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
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×D28C2311yescharacteristic
222C22×D28C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×Dic14C2311yescharacteristic
226C7×#123—42no—
227C7×#121—24no—
228C7×#121—24no—
229C7×#121—42no—
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×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
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
263#6503—24no—
264#6503—42no—
265#6502—24no—
266#6502—24no—
267#6502—24no—
268#6502—24no—
269#6502—42no—
270#6502—42no—
271#6502—42no—
272#6501—24no—
273#6501—24no—
274#6500—24no—
275#6500—24no—
276#6500—42no—
277D4×Dic7—24no—
278D4×Dic7D418yescomplemented
279#6493—24no—
280#6493—42no—
281#6493—42no—
282#6492—42no—
283C2×(C2×D7)⋊C4—24no—
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×(C2×D7)⋊C4C2311yescharacteristic
309C2×(C2×D7)⋊C4C2311yescharacteristic
310C2×(C2×D7)⋊C4C2311yescharacteristic
311C2×(C2×D7)⋊C4C2311yescharacteristic
312C2×(C2×D7)⋊C4C2311yescharacteristic
313C2×(C2×D7)⋊C4C2311yescharacteristic
314C2×(C2×D7)⋊C4C2311yescharacteristic
315C2×(C2×D7)⋊C4C2311yescharacteristic
316#6489—24no—
317C2×C4⋊Dic7C2311yescharacteristic
318C2×C4⋊Dic7C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×C4⋊Dic7C2311yescharacteristic
322C2×C4⋊Dic7C2311yescharacteristic
323C2×C4⋊Dic7C2311yescharacteristic
324C2×C4⋊Dic7C2311yescharacteristic
325C2×C4⋊Dic7C2311yescharacteristic
326#6487—24no—
327C2×Dic7⋊C4C2311yescharacteristic
328C2×Dic7⋊C4C2311yescharacteristic
329C2×Dic7⋊C4C2311yescharacteristic
330C2×Dic7⋊C4C2311yescharacteristic
331C2×Dic7⋊C4C2311yescharacteristic
332C2×Dic7⋊C4C2311yescharacteristic
333C2×Dic7⋊C4C2311yescharacteristic
334C2×Dic7⋊C4C2311yescharacteristic
335C2×Dic7⋊C4C2311yescharacteristic
336C2×Dic7⋊C4C2311yescharacteristic
337C2×Dic7⋊C4C2311yescharacteristic
338C2×Dic7⋊C4C2311yescharacteristic
339C2×C4×Dic7—42no—
340C2×C4×Dic7C2311yescharacteristic
341C2×C4×Dic7C2311yescharacteristic
342C2×C4×Dic7C2311yescharacteristic
343C2×C4×Dic7C2311yescharacteristic
344C2×C4×Dic7C2311yescharacteristic
345C2×C4×Dic7C2311yescharacteristic
346C2×C4×Dic7C2311yescharacteristic
347C2×C4×Dic7C2311yescharacteristic
348C2×C4×Dic7C2311yescharacteristic
349#6461—24no—
350#6461—24no—
351#6459—42no—
352#6459—42no—
353#6456—24no—
354#6453—24no—
355#6449—24no—
356#6449—24no—
357#6449—24no—
358#6449—24no—
359#6448—24no—
360#6448—24no—
361#6447—42no—
362#6447—42no—
363#6446—24no—
364#6446—24no—
365#6445—42no—
366#6445—42no—
367#6440—42no—
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#2671D711yescharacteristic, complemented
409#2669—71no—
410#2669—71no—
411#2668—71no—
412#2661—71no—
413#2661—71no—
414#2610—71no—
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
426C24×C7C2411yescharacteristic
427C23×D7—22no—
428C23×D7—41no—
429C23×D7—41no—
430C23×D7—41no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7—41no—
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C23×D7C2411yescharacteristic
437C23×D7C2411yescharacteristic
438C2×C7×D4—22no—
439C2×C7×D4—22no—
440C2×C7×D4—22no—
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—
450C2×C7×D4—41no—
451C2×C7×D4—41no—
452C2×C7×D4—41no—
453C2×C7×D4—41no—
454C2×C7×D4—41no—
455C2×C7×D4C2×D414yes—
456C22×C4×C7—22no—
457C22×C4×C7—22no—
458C22×C4×C7—22no—
459C22×C4×C7—22no—
460C22×C4×C7—41no—
461C22×C4×C7—41no—
462C22×C4×C7—41no—
463C22×C4×C7—41no—
464C22×C4×C7—41no—
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C22×C4×C7C2411yescharacteristic
475C22×C4×C7C2411yescharacteristic
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
479C2×C22⋊D7—22no—
480C2×C22⋊D7—22no—
481C2×C22⋊D7—22no—
482C2×C22⋊D7—22no—
483C2×C22⋊D7—22no—
484C2×C22⋊D7—22no—
485C2×C22⋊D7—22no—
486C2×C22⋊D7—22no—
487C2×C22⋊D7—22no—
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—
504C2×C22⋊D7—41no—
505C2×C22⋊D7—41no—
506C2×C22⋊D7—41no—
507C2×C22⋊D7—41no—
508C2×C22⋊D7—41no—
509C2×C22⋊D7—41no—
510C2×C22⋊D7—41no—
511C2×C22⋊D7—41no—
512C2×C22⋊D7—41no—
513C2×C22⋊D7—41no—
514C2×C22⋊D7—41no—
515C2×C22⋊D7—41no—
516C2×C22⋊D7—41no—
517C2×C22⋊D7—41no—
518C22×Dic7—22no—
519C22×Dic7—22no—
520C22×Dic7—41no—
521C22×Dic7—41no—
522C22×Dic7—41no—
523C22×Dic7—41no—
524C22×Dic7—41no—
525C22×Dic7—41no—
526C22×Dic7—41no—
527C22×Dic7—41no—
528C22×Dic7C2×D414yes—
529C22×Dic7C2×D414yes—
530C22×Dic7C2411yescharacteristic
531C22×Dic7C2411yescharacteristic
532C22×Dic7C2411yescharacteristic
533C22×Dic7C2411yescharacteristic
534C22×Dic7C2411yescharacteristic
535C22×Dic7C2411yescharacteristic
536C22×Dic7C2411yescharacteristic
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C2×D28—22no—
543C2×D28—22no—
544C2×D28—22no—
545C2×D28—41no—
546C2×D28—41no—
547C2×D28—41no—
548C2×D28—41no—
549C2×D28—41no—
550C2×D28—41no—
551C2×D28—41no—
552C2×D28—41no—
553C2×D28—41no—
554C2×D28—41no—
555C2×D28—41no—
556C2×D28—41no—
557C2×C4×D7—22no—
558C2×C4×D7—22no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C2×C4×D7—41no—
562C2×C4×D7—41no—
563C2×Dic14—22no—
564C2×Dic14—41no—
565C2×Dic14—41no—
566C7×C4⋊C4—22no—
567C7×C4⋊C4—22no—
568C7×C4⋊C4—22no—
569C7×C4⋊C4—41no—
570C7×C4⋊C4—41no—
571C7×C4⋊C4—41no—
572C7×C4⋊C4—41no—
573C7×C22⋊C4—22no—
574C7×C22⋊C4—22no—
575C7×C22⋊C4—22no—
576C7×C22⋊C4—22no—
577C7×C22⋊C4—22no—
578C7×C22⋊C4—22no—
579C7×C22⋊C4—22no—
580C7×C22⋊C4—22no—
581C7×C22⋊C4—41no—
582C7×C22⋊C4—41no—
583C7×C22⋊C4—41no—
584C7×C22⋊C4—41no—
585C7×C22⋊C4—41no—
586C22⋊Dic7—22no—
587C22⋊Dic7—22no—
588C22⋊Dic7—22no—
589C22⋊Dic7—22no—
590C22⋊Dic7—22no—
591C22⋊Dic7—41no—
592C22⋊Dic7—41no—
593C22⋊Dic7—41no—
594C22⋊Dic7—41no—
595C22⋊Dic7—41no—
596C22⋊Dic7—41no—
597C22⋊Dic7C2×D414yes—
598C22⋊Dic7C2×D414yes—
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—22no—
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)⋊C4—41no—
631C4⋊Dic7—22no—
632C4⋊Dic7—22no—
633C4⋊Dic7—22no—
634C4⋊Dic7—22no—
635C4⋊Dic7—22no—
636C4⋊Dic7—22no—
637C4⋊Dic7—41no—
638C4⋊Dic7—41no—
639C4⋊Dic7C2×D414yes—
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—41no—
650Dic7⋊C4—41no—
651Dic7⋊C4—41no—
652C4×Dic7—22no—
653C4×Dic7—22no—
654C4×Dic7—22no—
655C4×Dic7—22no—
656C4×Dic7—41no—
657C4×Dic7—41no—
658C4×Dic7—41no—
659C4×Dic7—41no—
660C4×Dic7C2×D414yes—
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×#124—71no—
670C2×#123—71no—
671C2×#123—71no—
672C2×#123—71no—
673C2×#123—71no—
674C2×#123—71no—
675C2×#123—71no—
676C2×#123—71no—
677C2×#123C2×D711yescharacteristic
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×#121C2×D711yescharacteristic
696C2×#121C2×D711yescharacteristic
697C2×#121C2×D711yescharacteristic, complemented
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×#117—71no—
708C22×C22⋊C4—71no—
709C22×C42—71no—
710#399—71no—
711#399—71no—
712#399—71no—
713#399C2×D711yescharacteristic, complemented
714#398—71no—
715#398—71no—
716#398—71no—
717#398C2×D711yescharacteristic, complemented
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#395—71no—
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#394C2×D711yescharacteristic
740#394C2×D711yescharacteristic, complemented
741#394C2×D711yescharacteristic, complemented
742#393—71no—
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#390—71no—
770#390—71no—
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#388—71no—
785#388—71no—
786#388—71no—
787#388—71no—
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#385C2×D711yescharacteristic
809#385C2×D711yescharacteristic, complemented
810#384—71no—
811#380—71no—
812#380C2×D711yescharacteristic, complemented
813#379—71no—
814C4×C4⋊C4—71no—
815C4×C22⋊C4—71no—
816C4×C22⋊C4—71no—
817#376—71no—
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×C7—21no—
840C23×C7—21no—
841C23×C7—21no—
842C23×C7—21no—
843C23×C7—21no—
844C23×C7C22×D412yes—
845C23×C7C22×D412yes—
846C23×C7C2511yescharacteristic
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—21no—
874C22×D7—21no—
875C22×D7—44no—
876C22×D7—82no—
877C22×D7—82no—
878C22×D7—82no—
879C22×D7—82no—
880C22×D7—82no—
881C22×D7—82no—
882C7×D4—44no—
883C7×D4—44no—
884C7×D4—82no—
885C7×D4—82no—
886C7×D4—82no—
887C7×D4—82no—
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×C7—44no—
920C2×C4×C7—82no—
921C2×C4×C7C22×D412yes—
922C2×C4×C7H(5,𝔽2)12yes—
923C2×C4×C7H(5,𝔽2)12yes—
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—
936C22⋊D7—82no—
937C22⋊D7—82no—
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—21no—
966C2×Dic7—21no—
967C2×Dic7—21no—
968C2×Dic7—21no—
969C2×Dic7—44no—
970C2×Dic7—44no—
971C2×Dic7—44no—
972C2×Dic7—82no—
973C2×Dic7C22×D412yes—
974C2×Dic7C22×D412yes—
975C2×Dic7C22×D412yes—
976C2×Dic7C22×D412yes—
977C2×Dic7H(5,𝔽2)12yes—
978D28—44no—
979D28—82no—
980D28—82no—
981D28—82no—
982D28—82no—
983C4×D7—82no—
984C4×D7—82no—
985Dic14—82no—
986C25—71no—
987C22×Q8—71no—
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×D4C22×D711yescharacteristic
1008C22×D4C22×D711yescharacteristic
1009C22×D4C22×D711yescharacteristic
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×C4C22×D711yescharacteristic
1020C23×C4C22×D711yescharacteristic
1021C23×C4C22×D711yescharacteristic
1022#127—144no—
1023#127—282no—
1024#126—144no—
1025#126—144no—
1026#125—144no—
1027#124—144no—
1028#124—144no—
1029#123—42no—
1030#123—144no—
1031#123—144no—
1032#123—144no—
1033#123—144no—
1034#123—144no—
1035#123—144no—
1036#123—282no—
1037C22⋊Q8—144no—
1038C22⋊Q8—282no—
1039C22⋊Q8—282no—
1040#121—24no—
1041#121—24no—
1042#121—42no—
1043#121—144no—
1044#121—144no—
1045#121—144no—
1046#121—144no—
1047#121—144no—
1048#121—144no—
1049#121—144no—
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—144no—
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⋊C4C22×D711yescharacteristic
1089C2×C4⋊C4C22×D711yescharacteristic
1090C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1140C2×C22⋊C4—144no—
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—71no—
1160C2×C42—71no—
1161C2×C42—71no—
1162C2×C42—71no—
1163C2×C42—282no—
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#95—71no—
1181#95—71no—
1182#95C22×D711yescharacteristic
1183#95C22×D711yescharacteristic
1184#95C22×D711yescharacteristic
1185#95C22×D711yescharacteristic
1186#95C22×D711yescharacteristic
1187#95C22×D711yescharacteristic
1188C22×C7—22no—
1189C22×C7—22no—
1190C22×C7—22no—
1191C22×C7—22no—
1192C22×C7—22no—
1193C22×C7—22no—
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×C7—41no—
1210C22×C7—41no—
1211C22×C7—41no—
1212C22×C7—41no—
1213C22×C7—41no—
1214C22×C7—41no—
1215C22×C7—41no—
1216C22×C7C23×D411yescharacteristic
1217C22×C7C2×H(5,𝔽2)11yescharacteristic
1218C22×C7C2×H(5,𝔽2)11yescharacteristic
1219C22×C7C2×H(5,𝔽2)11yescharacteristic
1220C22×C7#58511yescharacteristic
1221C22×C7#58511yescharacteristic
1222C22×C7#58511yescharacteristic
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—41no—
1256C4×C7—41no—
1257C4×C7—41no—
1258C4×C7—41no—
1259C4×C7—41no—
1260C4×C7—41no—
1261C4×C7—41no—
1262C4×C7—41no—
1263Dic7—22no—
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—142no—
1280C24—281no—
1281C24—281no—
1282C24—281no—
1283C24—281no—
1284C24—281no—
1285C24—281no—
1286C24C23×D711yescharacteristic
1287C24C23×D711yescharacteristic
1288C24C23×D711yescharacteristic
1289C24C23×D711yescharacteristic
1290C2×Q8—142no—
1291C2×Q8—281no—
1292C2×Q8—281no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
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—142no—
1322C2×D4—142no—
1323C2×D4—142no—
1324C2×D4—142no—
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×D4D4×D714yes—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—71no—
1378C22×C4—71no—
1379C22×C4—71no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—74no—
1383C22×C4—74no—
1384C22×C4—71no—
1385C22×C4—71no—
1386C22×C4—71no—
1387C22×C4—71no—
1388C22×C4—71no—
1389C22×C4—71no—
1390C22×C4—71no—
1391C22×C4—142no—
1392C22×C4—142no—
1393C22×C4—142no—
1394C22×C4—142no—
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×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—22no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—74no—
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—142no—
1440C4⋊C4—142no—
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—22no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—74no—
1460C22⋊C4—74no—
1461C22⋊C4—142no—
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—281no—
1485C22⋊C4—281no—
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—74no—
1505C42—142no—
1506C42—142no—
1507C42—142no—
1508C42—142no—
1509C42—281no—
1510C42—281no—
1511C42—281no—
1512C42—281no—
1513C2×C7—42no—
1514C2×C7—42no—
1515C2×C7—81no—
1516C2×C7—81no—
1517C2×C7#344911yescharacteristic
1518C2×C7#349611yescharacteristic
1519C2×C7#349811yescharacteristic
1520C2×C7#353411yescharacteristic
1521C2×C7#354211yescharacteristic
1522C2×C7#355111yescharacteristic
1523C2×C7#356211yescharacteristic
1524D7—81no—
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—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
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—284no—
1583C23—562no—
1584C23—562no—
1585C23—562no—
1586C23—562no—
1587C23—562no—
1588C23—562no—
1589C23C2×D4×D712yes—
1590C23C2×D4×D712yes—
1591C23C24×D711yescharacteristic
1592Q8—562no—
1593D4—44no—
1594D4—44no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—284no—
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—44no—
1649C2×C4—44no—
1650C2×C4—72no—
1651C2×C4—72no—
1652C2×C4—72no—
1653C2×C4—72no—
1654C2×C4—72no—
1655C2×C4—82no—
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—141no—
1685C2×C4—141no—
1686C2×C4—141no—
1687C2×C4—284no—
1688C2×C4—284no—
1689C2×C4—284no—
1690C2×C4—562no—
1691C2×C4—562no—
1692C2×C4—562no—
1693C2×C4C2×D4×D712yes—
1694C2×C4#654812yes—
1695C2×C4#655312yes—
1696C7#3674411yescharacteristic, complemented, Sylow
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
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—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
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×#654811yescharacteristic
1756C22C2×#655311yescharacteristic
1757C22D7×H(5,𝔽2)11yescharacteristic
1758C22#9061811yescharacteristic
1759C22#9061811yescharacteristic
1760C22#9062011yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—142no—
1773C4—142no—
1774C4—142no—
1775C4—142no—
1776C4—142no—
1777C4—281no—
1778C4—281no—
1779C4—281no—
1780C4—281no—
1781C4—281no—
1782C4—281no—
1783C4—281no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—561no—
1789C2—561no—
1790C2—561no—
1791C2—561no—
1792C2#1174336211yescharacteristic
1793C2#1174344311yescharacteristic
1794C2#1174356011yescharacteristic
1795C2#1174367611yescharacteristic
1796C2#1174371211yescharacteristic
1797C2#1174377011yescharacteristic
1798C2#1174417011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2671C2
hypercenter#2671D7
hypocenterC7#36744
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. C2×#90308C2semidirect
2. C2×#90310C2semidirect
3. C7×#2671C2semidirect
4. #11740346C2semidirect
5. #11740317C2semidirect
6. #11740163C2semidirect
7. #11740158C2semidirect
8. #11740145C2semidirect
9. #11740128C2semidirect
10. #11735509C2semidirect
11. #11735481C2semidirect
12. #11735307C2semidirect
13. #11735257C2semidirect
14. #11734581C2semidirect
15. #11734580C2semidirect
16. #11734575C2semidirect
17. #11734439C2semidirect
18. #11734439C2semidirect
19. #11734410C2semidirect
20. #11734210C2semidirect
21. #11734115C2semidirect
22. #11732357C2semidirect
23. #11732237C2semidirect
24. #11732225C2semidirect
25. #11732102C2semidirect
26. #11732076C2semidirect
27. #11732047C2semidirect
28. #11731975C2semidirect
29. #11731943C2semidirect
30. #11731481C2semidirect
31. #11731444C2semidirect
35. C2×C7×#121C22semidirect
42. C2×#6502C22semidirect
43. C2×#6502C22semidirect
44. C2×#6502C22semidirect
46. C2×#6501C22semidirect
54. C2×#6493C22semidirect
57. C2×#6489C22semidirect
59. C22×C4×Dic7C22semidirect
64. C2×#6459C22semidirect
65. C2×#6459C22semidirect
66. C2×#6456C22semidirect
67. C2×#6453C22semidirect
71. C2×#6449C22semidirect
77. C2×#6446C22semidirect
81. C7×#399C22semidirect
82. C7×#398C22semidirect
84. C7×#394C22semidirect
85. C7×#394C22semidirect
88. C7×#386C22semidirect
90. C7×#385C22semidirect
91. C7×#380C22semidirect
96. #89995C22semidirect
98. #89993C22semidirect
103. #89982C22semidirect
111. #89763C22semidirect
112. #89762C22semidirect
113. #89761C22semidirect
114. #89761C22semidirect
120. #89757C22semidirect
121. #89757C22semidirect
122. #89756C22semidirect
123. #89756C22semidirect
124. #89750C22semidirect
125. #89748C22semidirect
130. #89733C22semidirect
137. #89732C22semidirect
140. #89731C22semidirect
142. #89730C22semidirect
143. #89730C22semidirect
147. #89729C22semidirect
148. #89729C22semidirect
149. #89729C22semidirect
150. #89729C22semidirect
153. #89723C22semidirect
154. #89723C22semidirect
155. #89722C22semidirect
156. #89720C22semidirect
157. #89719C22semidirect
158. #89718C22semidirect
161. #89716C22semidirect
162. #89714C22semidirect
164. C22⋊C4×Dic7C22semidirect
166. #89447C22semidirect
176. #89442C22semidirect
177. #89442C22semidirect
178. #89442C22semidirect
181. #89429C22semidirect
182. #89428C22semidirect
183. #89427C22semidirect
184. #89426C22semidirect
185. #89425C22semidirect
186. #89421C22semidirect
187. #89420C22semidirect
188. #89419C22semidirect
278. D4×Dic7D4semidirect
408. #2671D7semidirect
697. C2×#121C2×D7semidirect
713. #399C2×D7semidirect
717. #398C2×D7semidirect
740. #394C2×D7semidirect
741. #394C2×D7semidirect
802. #386C2×D7semidirect
809. #385C2×D7semidirect
812. #380C2×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×#903082
C2×#903102
C7×#26712
#117403462
#117403172
#117401632
#117401582
#117401452
#117401282
#117355092
#117354812
#117353072
#117352572
#117345812
#117345802
#117345752
#117344392
#117344102
#117342102
#117341152
#117323572
#117322372
#117322252
#117321022
#117320762
#117320472
#117319752
#117319432
#117314812
#117314442
#367447