Finite Group Databasebeta

← #13560884

Subgroups — #13560884

Order 1792.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90369C211yesmaximal, characteristic, complemented
2C2×#90277C211yesmaximal, characteristic, complemented
3C7×#2670C211yesmaximal, characteristic, complemented
4#11740449C211yesmaximal, characteristic, complemented
5#11740430C211yesmaximal, characteristic, complemented
6#11740415C211yesmaximal, characteristic, complemented
7#11740054C211yesmaximal, characteristic, complemented
8#11740046C211yesmaximal, characteristic, complemented
9#11740042C211yesmaximal, characteristic, complemented
10#11734584C211yesmaximal, characteristic, complemented
11#11734564C211yesmaximal, characteristic, complemented
12#11734463C211yesmaximal, characteristic, complemented
13#11734421C211yesmaximal, characteristic, complemented
14#11734323C211yesmaximal, characteristic, complemented
15#11734253C211yesmaximal, characteristic, complemented
16#11734217C211yesmaximal, characteristic, complemented
17#11734209C211yesmaximal, characteristic, complemented
18#11734199C211yesmaximal, characteristic, complemented
19#11734161C211yesmaximal, characteristic, complemented
20#11734147C211yesmaximal, characteristic, complemented
21#11734140C211yesmaximal, characteristic, complemented
22#11733908C211yesmaximal, characteristic, complemented
23#11733880C211yesmaximal, characteristic, complemented
24#11733834C211yesmaximal, characteristic, complemented
25#11733814C211yesmaximal, characteristic, complemented
26#11733341C211yesmaximal, characteristic, complemented
27#11733125C211yesmaximal, characteristic, complemented
28#11733114C211yesmaximal, characteristic, complemented
29#11732903C211yesmaximal, characteristic, complemented
30#11731303C211yesmaximal, characteristic, complemented
31#11731292C211yesmaximal, characteristic, complemented
32C24×Dic7C2211yescharacteristic, complemented
33C22×#1159C2211yescharacteristic
34C2×C7×#124C2211yescharacteristic
35C2×C7×#124C2211yescharacteristic, complemented
36C2×C7×#120C2211yescharacteristic
37C2×C7×#120C2211yescharacteristic, complemented
38C2×#6516C2211yescharacteristic
39C2×#6516C2211yescharacteristic
40C2×#6516C2211yescharacteristic, complemented
41C2×#6510C2211yescharacteristic, complemented
42C2×#6509C2211yescharacteristic, complemented
43C2×#6503C2211yescharacteristic
44C2×#6502C2211yescharacteristic
45C2×#6502C2211yescharacteristic
46C2×#6502C2211yescharacteristic
47C2×#6502C2211yescharacteristic
48C2×#6502C2211yescharacteristic
49C2×#6501C2211yescharacteristic, complemented
50C2×#6500C2211yescharacteristic
51C2×#6500C2211yescharacteristic
52C2×#6500C2211yescharacteristic
53C2×#6500C2211yescharacteristic, complemented
54C2×#6498C2211yescharacteristic, complemented
55C2×D4×Dic7C2211yescharacteristic, complemented
56C2×D4×Dic7C2211yescharacteristic, complemented
57#90369—28no—
58#90277—28no—
59C2×#6460C2211yescharacteristic, complemented
60C2×#6449C2211yescharacteristic
61C2×#6449C2211yescharacteristic
62C2×#6449C2211yescharacteristic
63C2×#6447C2211yescharacteristic
64C2×#6447C2211yescharacteristic
65C2×#6446C2211yescharacteristic
66C2×#6446C2211yescharacteristic, complemented
67C2×#6445C2211yescharacteristic, complemented
68C2×(C22⋊D7)⋊C4C2211yescharacteristic
69C2×(C22⋊D7)⋊C4C2211yescharacteristic
70C2×D7×C22⋊C4C2211yescharacteristic, complemented
71C2×#6442C2211yescharacteristic, complemented
72C2×#6441C2211yescharacteristic, complemented
73C2×#6441C2211yescharacteristic, complemented
74C2×#6440C2211yescharacteristic, complemented
75C2×#6439C2211yescharacteristic, complemented
76C2×C4×D28C2211yescharacteristic, complemented
77C7×#394C2211yescharacteristic
78C7×#394C2211yescharacteristic, complemented
79C7×#393C2211yescharacteristic, complemented
80C7×#392C2211yescharacteristic
81C7×#392C2211yescharacteristic
82C7×#392C2211yescharacteristic
83C7×#390C2211yescharacteristic
84C7×#390C2211yescharacteristic, complemented
85C7×#388C2211yescharacteristic, complemented
86C7×#388C2211yescharacteristic, complemented
87C7×#379C2211yescharacteristic, complemented
88#90002C2211yescharacteristic, complemented
89#90001C2211yescharacteristic, complemented
90#89995C2211yescharacteristic
91#89995C2211yescharacteristic
92#89995C2211yescharacteristic, complemented
93#89995C2211yescharacteristic, complemented
94#89994C2211yescharacteristic
95#89994C2211yescharacteristic
96#89994C2211yescharacteristic, complemented
97#89993C2211yescharacteristic
98#89993C2211yescharacteristic, complemented
99#89992C2211yescharacteristic
100#89992C2211yescharacteristic
101#89992C2211yescharacteristic
102#89992C2211yescharacteristic, complemented
103#89766C2211yescharacteristic, complemented
104#89766C2211yescharacteristic, complemented
105#89763C2211yescharacteristic, complemented
106#89759C2211yescharacteristic, complemented
107#89753C2211yescharacteristic, complemented
108#89752C2211yescharacteristic, complemented
109#89744C2211yescharacteristic, complemented
110#89733C2211yescharacteristic
111#89733C2211yescharacteristic
112#89733C2211yescharacteristic
113#89733C2211yescharacteristic, complemented
114#89733C2211yescharacteristic, complemented
115#89733C2211yescharacteristic, complemented
116#89732C2211yescharacteristic
117#89732C2211yescharacteristic
118#89732C2211yescharacteristic
119#89732C2211yescharacteristic, complemented
120#89731C2211yescharacteristic
121#89731C2211yescharacteristic
122#89731C2211yescharacteristic, complemented
123#89731C2211yescharacteristic, complemented
124#89731C2211yescharacteristic, complemented
125#89731C2211yescharacteristic, complemented
126#89730C2211yescharacteristic
127#89730C2211yescharacteristic
128#89730C2211yescharacteristic
129#89730C2211yescharacteristic
130#89730C2211yescharacteristic, complemented
131#89730C2211yescharacteristic, complemented
132#89730C2211yescharacteristic, complemented
133#89730C2211yescharacteristic, complemented
134#89730C2211yescharacteristic, complemented
135#89729C2211yescharacteristic
136#89729C2211yescharacteristic
137#89729C2211yescharacteristic
138#89729C2211yescharacteristic, complemented
139#89728C2211yescharacteristic
140#89728C2211yescharacteristic, complemented
141#89728C2211yescharacteristic, complemented
142#89727C2211yescharacteristic, complemented
143#89725C2211yescharacteristic, complemented
144#89724C2211yescharacteristic, complemented
145#89723C2211yescharacteristic, complemented
146#89723C2211yescharacteristic, complemented
147#89722C2211yescharacteristic, complemented
148#89722C2211yescharacteristic, complemented
149#89722C2211yescharacteristic, complemented
150#89722C2211yescharacteristic, complemented
151#89722C2211yescharacteristic, complemented
152#89721C2211yescharacteristic, complemented
153#89720C2211yescharacteristic, complemented
154#89720C2211yescharacteristic, complemented
155#89720C2211yescharacteristic, complemented
156#89720C2211yescharacteristic, complemented
157#89719C2211yescharacteristic, complemented
158#89717C2211yescharacteristic, complemented
159#89717C2211yescharacteristic, complemented
160#89716C2211yescharacteristic, complemented
161#89716C2211yescharacteristic, complemented
162#89715C2211yescharacteristic, complemented
163#89715C2211yescharacteristic, complemented
164#89714C2211yescharacteristic, complemented
165#89714C2211yescharacteristic, complemented
166#89714C2211yescharacteristic, complemented
167#89712C2211yescharacteristic, complemented
168#89711C2211yescharacteristic, complemented
169#89705C2211yescharacteristic, complemented
170C4×Dic7⋊C4C2211yescharacteristic, complemented
171#89701C2211yescharacteristic, complemented
172#89700C2211yescharacteristic, complemented
173#89446C2211yescharacteristic, complemented
174#89445C2211yescharacteristic, complemented
175#89444C2211yescharacteristic, complemented
176#89441C2211yescharacteristic, complemented
177#89441C2211yescharacteristic, complemented
178#89441C2211yescharacteristic, complemented
179#89441C2211yescharacteristic, complemented
180#89441C2211yescharacteristic, complemented
181#89440C2211yescharacteristic, complemented
182#89436C2211yescharacteristic, complemented
183#89436C2211yescharacteristic, complemented
184#89433C2211yescharacteristic, complemented
185#89433C2211yescharacteristic, complemented
186#89432C2211yescharacteristic, complemented
187#89420C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#36724—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×Q8C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C22×C7×D4C2311yescharacteristic
199C22×C7×D4C2311yescharacteristic
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
213C23×Dic7—24no—
214C23×Dic7—42no—
215C23×Dic7—42no—
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C23×Dic7C2311yescharacteristic
219C23×Dic7C2311yescharacteristic
220C23×Dic7C2311yescharacteristic
221C23×Dic7C2311yescharacteristic
222C23×Dic7C2311yescharacteristic
223C2×#1159—24no—
224C2×#1159—42no—
225C2×#1159—42no—
226C22×D28C2311yescharacteristic
227C22×D28C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×Dic14C2311yescharacteristic
232C7×#124—24no—
233C7×#124—42no—
234C7×#120—24no—
235C7×#120—42no—
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊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×C7×C22⋊C4C2311yescharacteristic
251C2×C7×C22⋊C4C2311yescharacteristic
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C7×C22⋊C4C2311yescharacteristic
254C2×C7×C22⋊C4C2311yescharacteristic
255C2×C7×C22⋊C4C2311yescharacteristic
256C2×C42×C7C2311yescharacteristic
257C2×C42×C7C2311yescharacteristic
258#6516—24no—
259#6516—42no—
260#6516—42no—
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
277C2×C22⋊Dic7C2311yescharacteristic
278C2×C22⋊Dic7C2311yescharacteristic
279C2×C22⋊Dic7C2311yescharacteristic
280#6510—24no—
281#6509—24no—
282#6503—42no—
283#6502—24no—
284#6502—24no—
285#6502—24no—
286#6502—42no—
287#6502—42no—
288#6501—42no—
289#6500—24no—
290#6500—42no—
291#6500—42no—
292#6500—42no—
293#6498—24no—
294D4×Dic7—24no—
295D4×Dic7—24no—
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
316C2×(C2×D7)⋊C4C2311yescharacteristic
317C2×(C2×D7)⋊C4C2311yescharacteristic
318C2×(C2×D7)⋊C4C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×C4⋊Dic7C2311yescharacteristic
322C2×C4⋊Dic7C2311yescharacteristic
323C2×C4⋊Dic7C2311yescharacteristic
324C2×C4⋊Dic7C2311yescharacteristic
325C2×C4⋊Dic7C2311yescharacteristic
326C2×C4⋊Dic7C2311yescharacteristic
327C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
340C2×Dic7⋊C4C2311yescharacteristic
341C2×C4×Dic7C2311yescharacteristic
342C2×C4×Dic7C2311yescharacteristic
343C2×C4×Dic7C2311yescharacteristic
344C2×C4×Dic7C2311yescharacteristic
345C2×C4×Dic7C2311yescharacteristic
346#6460—42no—
347#6449—24no—
348#6449—24no—
349#6449—42no—
350#6447—24no—
351#6447—24no—
352#6446—24no—
353#6446—42no—
354#6445—24no—
355(C22⋊D7)⋊C4—24no—
356(C22⋊D7)⋊C4D418yescomplemented
357D7×C22⋊C4—24no—
358#6442—24no—
359#6441—24no—
360#6441—24no—
361#6440—24no—
362#6439—24no—
363C4×D28—24no—
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
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#538—71no—
393C2×#525—71no—
394#2849—71no—
395#2847—71no—
396#2705—71no—
397#2702—71no—
398#2700—71no—
399#2699—71no—
400#2687—71no—
401#2682—71no—
402#2681—71no—
403#2681—71no—
404#2679—71no—
405#2678—71no—
406#2678—71no—
407#2678—71no—
408#2672—71no—
409#2670D711yescharacteristic, complemented
410#2669—71no—
411#2669—71no—
412#2635—71no—
413#2630—71no—
414#2610—71no—
415#2603—71no—
416#2601—71no—
417#2600—71no—
418#2544—71no—
419#2534—71no—
420#2407—71no—
421#2404—71no—
422#2319—71no—
423C24×C7—22no—
424C24×C7—22no—
425C24×C7—22no—
426C24×C7—41no—
427C24×C7—41no—
428C24×C7—41no—
429C24×C7—41no—
430C24×C7C2411yescharacteristic
431C24×C7C2411yescharacteristic
432C24×C7C2411yescharacteristic
433C24×C7C2411yescharacteristic
434C24×C7C2411yescharacteristic
435C23×D7—22no—
436C23×D7—41no—
437C23×D7—41no—
438C23×D7—41no—
439C23×D7—41no—
440C23×D7—41no—
441C23×D7—41no—
442C23×D7C2411yescharacteristic
443C23×D7C2411yescharacteristic
444C23×D7C2411yescharacteristic
445C2×C7×Q8—22no—
446C2×C7×Q8—41no—
447C2×C7×Q8—41no—
448C2×C7×D4—22no—
449C2×C7×D4—22no—
450C2×C7×D4—22no—
451C2×C7×D4—22no—
452C2×C7×D4—22no—
453C2×C7×D4—22no—
454C2×C7×D4—22no—
455C2×C7×D4—22no—
456C2×C7×D4—41no—
457C2×C7×D4—41no—
458C2×C7×D4—41no—
459C2×C7×D4—41no—
460C2×C7×D4—41no—
461C2×C7×D4—41no—
462C2×C7×D4—41no—
463C2×C7×D4—41no—
464C2×C7×D4—41no—
465C2×C7×D4—41no—
466C2×C7×D4—41no—
467C2×C7×D4—41no—
468C2×C7×D4—41no—
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C22×C4×C7C2411yescharacteristic
475C22×C4×C7C2411yescharacteristic
476C22×C4×C7C2411yescharacteristic
477C22×C4×C7C2411yescharacteristic
478C22×C4×C7C2411yescharacteristic
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—22no—
489C2×C22⋊D7—22no—
490C2×C22⋊D7—22no—
491C2×C22⋊D7—22no—
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⋊D7C2×D414yes—
518C22×Dic7—22no—
519C22×Dic7—22no—
520C22×Dic7—22no—
521C22×Dic7—22no—
522C22×Dic7—22no—
523C22×Dic7—22no—
524C22×Dic7—22no—
525C22×Dic7—22no—
526C22×Dic7—22no—
527C22×Dic7—22no—
528C22×Dic7—22no—
529C22×Dic7—41no—
530C22×Dic7—41no—
531C22×Dic7—41no—
532C22×Dic7—41no—
533C22×Dic7—41no—
534C22×Dic7—41no—
535C22×Dic7—41no—
536C22×Dic7—41no—
537C22×Dic7—41no—
538C22×Dic7—416no—
539C22×Dic7C2×D414yes—
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545C22×Dic7C2411yescharacteristic
546C22×Dic7C2411yescharacteristic
547C22×Dic7C2411yescharacteristic
548C22×Dic7C2411yescharacteristic
549C22×Dic7C2411yescharacteristic
550C22×Dic7C2411yescharacteristic
551C22×Dic7C2411yescharacteristic
552C22×Dic7C2411yescharacteristic
553#1159—416no—
554C2×D28—22no—
555C2×D28—22no—
556C2×D28—41no—
557C2×D28—41no—
558C2×D28—41no—
559C2×D28—41no—
560C2×C4×D7—22no—
561C2×C4×D7—22no—
562C2×C4×D7—41no—
563C2×C4×D7—41no—
564C2×C4×D7—41no—
565C2×C4×D7—41no—
566C2×C4×D7—41no—
567C2×C4×D7—41no—
568C2×C4×D7C2×D414yes—
569C2×Dic14—22no—
570C2×Dic14—22no—
571C2×Dic14—41no—
572C7×C4⋊C4—41no—
573C7×C4⋊C4—41no—
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—
586C7×C22⋊C4—41no—
587C7×C22⋊C4—41no—
588C7×C22⋊C4—41no—
589C7×C22⋊C4—41no—
590C7×C22⋊C4—41no—
591C7×C22⋊C4C2×D414yes—
592C42×C7—22no—
593C42×C7—41no—
594C22⋊Dic7—22no—
595C22⋊Dic7—22no—
596C22⋊Dic7—22no—
597C22⋊Dic7—22no—
598C22⋊Dic7—22no—
599C22⋊Dic7—22no—
600C22⋊Dic7—22no—
601C22⋊Dic7—22no—
602C22⋊Dic7—22no—
603C22⋊Dic7—22no—
604C22⋊Dic7—41no—
605C22⋊Dic7—41no—
606C22⋊Dic7—41no—
607C22⋊Dic7—41no—
608C22⋊Dic7—41no—
609C22⋊Dic7—41no—
610C22⋊Dic7—41no—
611C22⋊Dic7—41no—
612C22⋊Dic7—41no—
613(C2×D7)⋊C4—22no—
614(C2×D7)⋊C4—22no—
615(C2×D7)⋊C4—22no—
616(C2×D7)⋊C4—22no—
617(C2×D7)⋊C4—22no—
618(C2×D7)⋊C4—22no—
619(C2×D7)⋊C4—22no—
620(C2×D7)⋊C4—22no—
621(C2×D7)⋊C4—22no—
622(C2×D7)⋊C4—22no—
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—
631(C2×D7)⋊C4—41no—
632(C2×D7)⋊C4—41no—
633(C2×D7)⋊C4—41no—
634(C2×D7)⋊C4—41no—
635(C2×D7)⋊C4C2×D414yes—
636C4⋊Dic7—22no—
637C4⋊Dic7—22no—
638C4⋊Dic7—22no—
639C4⋊Dic7—22no—
640C4⋊Dic7—22no—
641C4⋊Dic7—41no—
642C4⋊Dic7—41no—
643C4⋊Dic7—41no—
644C4⋊Dic7—41no—
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—
656Dic7⋊C4—41no—
657Dic7⋊C4C2×D414yes—
658C4×Dic7—22no—
659C4×Dic7—41no—
660C4×Dic7—41no—
661C4×Dic7—41no—
662C4×Dic7C2×D414yes—
663C22×#41—71no—
664C24×C4—71no—
665#538—148no—
666C2×#127—71no—
667C2×#126—71no—
668C2×#126—71no—
669C2×#124—71no—
670C2×#124C2×D711yescharacteristic
671C2×#124C2×D711yescharacteristic, complemented
672#525—148no—
673C2×#123—71no—
674C2×#123—71no—
675C2×#123—71no—
676C2×#123—71no—
677C2×#123—71no—
678C2×#123—71no—
679C2×C22⋊Q8—71no—
680C2×C22⋊Q8—71no—
681C2×C22⋊Q8—71no—
682C2×C22⋊Q8—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×#120—71no—
692C2×#120—71no—
693C2×#120—71no—
694C2×#120—71no—
695C2×#120—71no—
696C2×#120—71no—
697C2×#120—71no—
698C2×#120—71no—
699C2×#120C2×D711yescharacteristic
700C2×#120C2×D711yescharacteristic, complemented
701C2×C4×D4—71no—
702C2×C4×D4—71no—
703C2×C4×D4—71no—
704C2×C4×D4—71no—
705C2×C4×D4—71no—
706C2×#117—71no—
707C22×C22⋊C4—71no—
708#400—71no—
709#399—71no—
710#398—71no—
711#398—71no—
712#398—71no—
713#397—71no—
714#397—71no—
715#397—71no—
716#396—71no—
717#396—71no—
718#396—71no—
719#396—71no—
720#396—71no—
721#396—71no—
722#395—71no—
723#394—71no—
724#394—71no—
725#394—71no—
726#394—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#394—71no—
740#394C2×D711yescharacteristic
741#394C2×D711yescharacteristic, complemented
742#393—71no—
743#393—71no—
744#393C2×D711yescharacteristic, complemented
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#392C2×D711yescharacteristic
754#392C2×D711yescharacteristic
755#392C2×D711yescharacteristic
756#391—71no—
757#391—71no—
758#390—71no—
759#390—71no—
760#390—71no—
761#390—71no—
762#390—71no—
763#390—71no—
764#390—71no—
765#390C2×D711yescharacteristic
766#390C2×D711yescharacteristic, complemented
767#389—71no—
768#389—71no—
769#389—71no—
770#388—71no—
771#388—71no—
772#388—71no—
773#388—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#388C2×D711yescharacteristic, complemented
783#388C2×D711yescharacteristic, complemented
784#387—71no—
785#387—71no—
786#386—71no—
787#386—71no—
788#386—71no—
789#386—71no—
790#386—71no—
791#386—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#386—71no—
802#385—71no—
803#385—71no—
804#385—71no—
805#385—71no—
806#385—71no—
807#385—71no—
808#381—71no—
809#381—71no—
810#381—71no—
811#381—71no—
812#380—71no—
813#380—71no—
814#380—71no—
815#380—71no—
816#379—71no—
817#379C2×D711yescharacteristic, complemented
818C4×C4⋊C4—71no—
819#376—71no—
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×C7—21no—
845C23×C7—21no—
846C23×C7—21no—
847C23×C7—21no—
848C23×C7—21no—
849C23×C7—21no—
850C23×C7—21no—
851C23×C7—21no—
852C23×C7—44no—
853C23×C7—44no—
854C23×C7—44no—
855C23×C7—44no—
856C23×C7—44no—
857C23×C7—44no—
858C23×C7—44no—
859C23×C7C22×D412yes—
860C23×C7H(5,𝔽2)12yes—
861C23×C7H(5,𝔽2)12yes—
862C23×C7C2511yescharacteristic
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—21no—
876C22×D7—21no—
877C22×D7—21no—
878C22×D7—21no—
879C22×D7—21no—
880C22×D7—21no—
881C22×D7—21no—
882C22×D7—21no—
883C22×D7—44no—
884C22×D7—82no—
885C22×D7—82no—
886C22×D7—82no—
887C22×D7—82no—
888C22×D7—82no—
889C22×D7—82no—
890C22×D7C22×D412yes—
891C7×Q8—82no—
892C7×D4—44no—
893C7×D4—44no—
894C7×D4—44no—
895C7×D4—82no—
896C7×D4—82no—
897C7×D4—82no—
898C7×D4—82no—
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—21no—
919C2×C4×C7—21no—
920C2×C4×C7—21no—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—21no—
927C2×C4×C7C22×D412yes—
928C2×C4×C7C22×D412yes—
929C22⋊D7—44no—
930C22⋊D7—44no—
931C22⋊D7—44no—
932C22⋊D7—44no—
933C22⋊D7—82no—
934C22⋊D7—82no—
935C22⋊D7—82no—
936C22⋊D7—82no—
937C22⋊D7—82no—
938C22⋊D7—82no—
939C22⋊D7—82no—
940C22⋊D7—82no—
941C22⋊D7—82no—
942C2×Dic7—28no—
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—21no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—21no—
973C2×Dic7—21no—
974C2×Dic7—21no—
975C2×Dic7—21no—
976C2×Dic7—21no—
977C2×Dic7—21no—
978C2×Dic7—44no—
979C2×Dic7—44no—
980C2×Dic7—44no—
981C2×Dic7—44no—
982C2×Dic7—44no—
983C2×Dic7—44no—
984C2×Dic7C22×D412yes—
985C2×Dic7C22×D412yes—
986C2×Dic7C22×D412yes—
987C2×Dic7H(5,𝔽2)12yes—
988D28—44no—
989D28—82no—
990C4×D7—44no—
991C4×D7—82no—
992C4×D7—82no—
993Dic14—44no—
994C25—71no—
995C25C22×D711yescharacteristic
996C2×#41—144no—
997C2×#41—282no—
998C2×#41—282no—
999C22×Q8—71no—
1000C22×Q8C22×D711yescharacteristic
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×D4—71no—
1011C22×D4—71no—
1012C22×D4—71no—
1013C22×D4—71no—
1014C22×D4—71no—
1015C22×D4—71no—
1016C22×D4C22×D711yescharacteristic
1017C22×D4C22×D711yescharacteristic
1018C22×D4C22×D711yescharacteristic
1019C22×D4C22×D711yescharacteristic
1020C22×D4C22×D711yescharacteristic
1021C22×D4C22×D711yescharacteristic
1022C22×D4C22×D711yescharacteristic
1023C23×C4—71no—
1024C23×C4—71no—
1025C23×C4—71no—
1026C23×C4—71no—
1027C23×C4—71no—
1028C23×C4—71no—
1029C23×C4—71no—
1030C23×C4—71no—
1031C23×C4—71no—
1032C23×C4—71no—
1033C23×C4—144no—
1034C23×C4—282no—
1035C23×C4—282no—
1036#127—282no—
1037#126—144no—
1038#126—144no—
1039#124—24no—
1040#124—42no—
1041#124—144no—
1042#123—144no—
1043#123—144no—
1044#123—144no—
1045#123—144no—
1046#123—282no—
1047#123—282no—
1048C22⋊Q8—144no—
1049C22⋊Q8—144no—
1050C22⋊Q8—144no—
1051C22⋊Q8—282no—
1052#121—144no—
1053#121—144no—
1054#121—144no—
1055#121—144no—
1056#121—144no—
1057#121—282no—
1058#121—282no—
1059#121—282no—
1060#120—24no—
1061#120—42no—
1062#120—144no—
1063#120—144no—
1064#120—144no—
1065#120—282no—
1066#120—282no—
1067#120—282no—
1068#120—282no—
1069#120—282no—
1070C4×D4—78no—
1071C4×D4—144no—
1072C4×D4—144no—
1073C4×D4—144no—
1074C4×D4—144no—
1075#117—144no—
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⋊C4—71no—
1092C2×C4⋊C4—71no—
1093C2×C4⋊C4—71no—
1094C2×C4⋊C4—71no—
1095C2×C4⋊C4—71no—
1096C2×C4⋊C4—71no—
1097C2×C4⋊C4—71no—
1098C2×C4⋊C4C22×D711yescharacteristic
1099C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1141C2×C22⋊C4—71no—
1142C2×C22⋊C4—144no—
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×C22⋊C4C22×D711yescharacteristic
1155C2×C22⋊C4C22×D711yescharacteristic
1156C2×C22⋊C4C22×D711yescharacteristic
1157C2×C22⋊C4C22×D711yescharacteristic
1158C2×C22⋊C4C22×D711yescharacteristic
1159C2×C22⋊C4C22×D711yescharacteristic
1160C2×C22⋊C4C22×D711yescharacteristic
1161C2×C42—71no—
1162C2×C42—71no—
1163C2×C42—71no—
1164C2×C42—71no—
1165C2×C42—71no—
1166C2×C42C22×D711yescharacteristic
1167C2×C42C22×D711yescharacteristic
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#95—71no—
1183#95—71no—
1184#95—71no—
1185#95—71no—
1186#95—71no—
1187#95—71no—
1188#95—71no—
1189#95—71no—
1190#95—71no—
1191#95—71no—
1192#95C22×D711yescharacteristic
1193#95C22×D711yescharacteristic
1194#95C22×D711yescharacteristic
1195#95C22×D711yescharacteristic
1196C22×C7—22no—
1197C22×C7—22no—
1198C22×C7—22no—
1199C22×C7—22no—
1200C22×C7—22no—
1201C22×C7—22no—
1202C22×C7—22no—
1203C22×C7—22no—
1204C22×C7—22no—
1205C22×C7—416no—
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×C7—41no—
1217C22×C7—41no—
1218C22×C7—41no—
1219C22×C7—41no—
1220C22×C7—41no—
1221C22×C7—41no—
1222C22×C7—41no—
1223C22×C7—41no—
1224C22×C7—41no—
1225C22×C7—41no—
1226C22×C7—41no—
1227C22×C7—41no—
1228C22×C7—41no—
1229C22×C7—41no—
1230C22×C7—41no—
1231C22×C7—41no—
1232C22×C7C23×D411yescharacteristic
1233C22×C7C2×H(5,𝔽2)11yescharacteristic
1234C22×C7C2×H(5,𝔽2)11yescharacteristic
1235C22×C7C2×H(5,𝔽2)11yescharacteristic
1236C22×C7#58511yescharacteristic
1237C22×C7#58511yescharacteristic
1238C22×C7#58511yescharacteristic
1239C2×D7—22no—
1240C2×D7—22no—
1241C2×D7—22no—
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—41no—
1252C2×D7—41no—
1253C2×D7—41no—
1254C2×D7—41no—
1255C2×D7—41no—
1256C2×D7—41no—
1257C2×D7—41no—
1258C2×D7—41no—
1259C2×D7—41no—
1260C2×D7—88no—
1261C4×C7—22no—
1262C4×C7—22no—
1263C4×C7—41no—
1264C4×C7—41no—
1265C4×C7—41no—
1266C4×C7—41no—
1267C4×C7—41no—
1268C4×C7—41no—
1269C4×C7—41no—
1270C4×C7—41no—
1271Dic7—22no—
1272Dic7—22no—
1273Dic7—22no—
1274Dic7—22no—
1275Dic7—41no—
1276Dic7—41no—
1277Dic7—41no—
1278Dic7—41no—
1279Dic7—41no—
1280Dic7—41no—
1281Dic7—41no—
1282Dic7—41no—
1283Dic7—41no—
1284C24—22no—
1285C24—22no—
1286C24—22no—
1287C24—41no—
1288C24—41no—
1289C24—41no—
1290C24—41no—
1291C24—71no—
1292C24—71no—
1293C24—71no—
1294C24—142no—
1295C24—281no—
1296C24—281no—
1297C24—281no—
1298C24—281no—
1299C24—281no—
1300C24—281no—
1301C24C23×D711yescharacteristic
1302C24C23×D711yescharacteristic
1303C24C23×D711yescharacteristic
1304C24C23×D711yescharacteristic
1305C24C23×D711yescharacteristic
1306#41—2816no—
1307C2×Q8—22no—
1308C2×Q8—41no—
1309C2×Q8—41no—
1310C2×Q8—142no—
1311C2×Q8—142no—
1312C2×Q8—281no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—74no—
1335C2×D4—142no—
1336C2×D4—142no—
1337C2×D4—142no—
1338C2×D4—142no—
1339C2×D4—142no—
1340C2×D4—142no—
1341C2×D4—142no—
1342C2×D4—142no—
1343C2×D4—142no—
1344C2×D4—142no—
1345C2×D4—142no—
1346C2×D4—142no—
1347C2×D4—142no—
1348C2×D4—142no—
1349C2×D4—142no—
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—
1368C2×D4—281no—
1369C2×D4—281no—
1370C2×D4—281no—
1371C2×D4—281no—
1372C2×D4—281no—
1373C2×D4—281no—
1374C2×D4—281no—
1375C2×D4—281no—
1376C2×D4—281no—
1377C2×D4—281no—
1378C2×D4—281no—
1379C22×C4—71no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—74no—
1384C22×C4—74no—
1385C22×C4—71no—
1386C22×C4—71no—
1387C22×C4—71no—
1388C22×C4—71no—
1389C22×C4—71no—
1390C22×C4—71no—
1391C22×C4—71no—
1392C22×C4—71no—
1393C22×C4—71no—
1394C22×C4—142no—
1395C22×C4—142no—
1396C22×C4—142no—
1397C22×C4—142no—
1398C22×C4—142no—
1399C22×C4—142no—
1400C22×C4—142no—
1401C22×C4—142no—
1402C22×C4—142no—
1403C22×C4—142no—
1404C22×C4—142no—
1405C22×C4—142no—
1406C22×C4—142no—
1407C22×C4—281no—
1408C22×C4—281no—
1409C22×C4—281no—
1410C22×C4—281no—
1411C22×C4—281no—
1412C22×C4—281no—
1413C22×C4—281no—
1414C22×C4—281no—
1415C22×C4—281no—
1416C22×C4—281no—
1417C22×C4—281no—
1418C22×C4—281no—
1419C22×C4—281no—
1420C22×C4—281no—
1421C22×C4—281no—
1422C22×C4—2816no—
1423C22×C4C23×D711yescharacteristic
1424C22×C4C23×D711yescharacteristic
1425C22×C4C23×D711yescharacteristic
1426C22×C4C23×D711yescharacteristic
1427C22×C4C23×D711yescharacteristic
1428C22×C4C23×D711yescharacteristic
1429C22×C4C23×D711yescharacteristic
1430C22×C4C23×D711yescharacteristic
1431C22×C4C23×D711yescharacteristic
1432C22×C4C23×D711yescharacteristic
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—74no—
1436C4⋊C4—142no—
1437C4⋊C4—142no—
1438C4⋊C4—142no—
1439C4⋊C4—142no—
1440C4⋊C4—142no—
1441C4⋊C4—142no—
1442C4⋊C4—142no—
1443C4⋊C4—142no—
1444C4⋊C4—142no—
1445C4⋊C4—142no—
1446C4⋊C4—142no—
1447C4⋊C4—281no—
1448C4⋊C4—281no—
1449C4⋊C4—281no—
1450C4⋊C4—281no—
1451C4⋊C4—281no—
1452C4⋊C4—281no—
1453C4⋊C4—281no—
1454C4⋊C4—281no—
1455C4⋊C4—281no—
1456C4⋊C4—281no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—74no—
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—142no—
1487C22⋊C4—142no—
1488C22⋊C4—142no—
1489C22⋊C4—142no—
1490C22⋊C4—142no—
1491C22⋊C4—142no—
1492C22⋊C4—142no—
1493C22⋊C4—142no—
1494C22⋊C4—142no—
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—
1504C22⋊C4—281no—
1505C22⋊C4—281no—
1506C22⋊C4—281no—
1507C22⋊C4—281no—
1508C22⋊C4—281no—
1509C22⋊C4—281no—
1510C22⋊C4—281no—
1511C22⋊C4—281no—
1512C22⋊C4—281no—
1513C22⋊C4—281no—
1514C22⋊C4—281no—
1515C22⋊C4—281no—
1516C22⋊C4D4×D714yes—
1517C42—22no—
1518C42—41no—
1519C42—74no—
1520C42—142no—
1521C42—281no—
1522C42—281no—
1523C42—281no—
1524C2×C7—42no—
1525C2×C7—42no—
1526C2×C7—42no—
1527C2×C7—81no—
1528C2×C7—81no—
1529C2×C7#344911yescharacteristic
1530C2×C7#348411yescharacteristic
1531C2×C7#348811yescharacteristic
1532C2×C7#353311yescharacteristic
1533C2×C7#353411yescharacteristic
1534C2×C7#354011yescharacteristic
1535C2×C7#354211yescharacteristic
1536D7—42no—
1537D7—81no—
1538D7—81no—
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—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—72no—
1579C23—141no—
1580C23—141no—
1581C23—141no—
1582C23—141no—
1583C23—141no—
1584C23—141no—
1585C23—141no—
1586C23—141no—
1587C23—141no—
1588C23—141no—
1589C23—141no—
1590C23—141no—
1591C23—141no—
1592C23—141no—
1593C23—141no—
1594C23—141no—
1595C23—141no—
1596C23—141no—
1597C23—141no—
1598C23—141no—
1599C23—284no—
1600C23—562no—
1601C23—562no—
1602C23—562no—
1603C23—562no—
1604C23—562no—
1605C23—562no—
1606C23C2×D4×D712yes—
1607C23#654812yes—
1608C23#655312yes—
1609C23C24×D711yescharacteristic
1610Q8—82no—
1611Q8—284no—
1612D4—44no—
1613D4—44no—
1614D4—44no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—284no—
1620D4—284no—
1621D4—284no—
1622D4—284no—
1623D4—284no—
1624D4—562no—
1625D4—562no—
1626D4—562no—
1627D4—562no—
1628D4—562no—
1629D4—562no—
1630D4—562no—
1631D4—562no—
1632D4—562no—
1633D4—562no—
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—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—72no—
1663C2×C4—72no—
1664C2×C4—72no—
1665C2×C4—72no—
1666C2×C4—148no—
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—141no—
1688C2×C4—141no—
1689C2×C4—141no—
1690C2×C4—141no—
1691C2×C4—141no—
1692C2×C4—141no—
1693C2×C4—141no—
1694C2×C4—141no—
1695C2×C4—141no—
1696C2×C4—141no—
1697C2×C4—141no—
1698C2×C4—141no—
1699C2×C4—141no—
1700C2×C4—141no—
1701C2×C4—141no—
1702C2×C4—284no—
1703C2×C4—284no—
1704C2×C4—284no—
1705C2×C4—284no—
1706C2×C4—284no—
1707C2×C4—284no—
1708C2×C4—284no—
1709C2×C4—562no—
1710C2×C4—562no—
1711C2×C4C2×D4×D712yes—
1712C2×C4C2×D4×D712yes—
1713C7#3672411yescharacteristic, complemented, Sylow
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—416no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—142no—
1751C22—142no—
1752C22—142no—
1753C22—281no—
1754C22—281no—
1755C22—281no—
1756C22—281no—
1757C22—281no—
1758C22—281no—
1759C22—281no—
1760C22—281no—
1761C22—281no—
1762C22—281no—
1763C22—281no—
1764C22—281no—
1765C22—281no—
1766C22—281no—
1767C22—281no—
1768C22—281no—
1769C22—281no—
1770C22—281no—
1771C22—568no—
1772C22C22×D4×D711yescharacteristic
1773C22C2×#654811yescharacteristic
1774C22C2×#655311yescharacteristic
1775C22D7×H(5,𝔽2)11yescharacteristic
1776C22#9061811yescharacteristic
1777C22#9061811yescharacteristic
1778C22#9061811yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—142no—
1790C4—142no—
1791C4—142no—
1792C4—142no—
1793C4—281no—
1794C4—281no—
1795C4—281no—
1796C4—281no—
1797C4—281no—
1798C4—281no—
1799C4—281no—
1800C4—281no—
1801C4—281no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—81no—
1806C2—81no—
1807C2—282no—
1808C2—561no—
1809C2—561no—
1810C2#1174338111yescharacteristic
1811C2#1174339111yescharacteristic
1812C2#1174346211yescharacteristic
1813C2#1174367511yescharacteristic
1814C2#1174371211yescharacteristic
1815C2#1174373011yescharacteristic
1816C2#1174415411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2670C2
hypercenter#2670D7
hypocenterC7#36724
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2670

Complements

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

NH ≅ G/Ntype
1. C2×#90369C2semidirect
2. C2×#90277C2semidirect
3. C7×#2670C2semidirect
4. #11740449C2semidirect
5. #11740430C2semidirect
6. #11740415C2semidirect
7. #11740054C2semidirect
8. #11740046C2semidirect
9. #11740042C2semidirect
10. #11734584C2semidirect
11. #11734564C2semidirect
12. #11734463C2semidirect
13. #11734421C2semidirect
14. #11734323C2semidirect
15. #11734253C2semidirect
16. #11734217C2semidirect
17. #11734209C2semidirect
18. #11734199C2semidirect
19. #11734161C2semidirect
20. #11734147C2semidirect
21. #11734140C2semidirect
22. #11733908C2semidirect
23. #11733880C2semidirect
24. #11733834C2semidirect
25. #11733814C2semidirect
26. #11733341C2semidirect
27. #11733125C2semidirect
28. #11733114C2semidirect
29. #11732903C2semidirect
30. #11731303C2semidirect
31. #11731292C2semidirect
32. C24×Dic7C22semidirect
35. C2×C7×#124C22semidirect
37. C2×C7×#120C22semidirect
40. C2×#6516C22semidirect
41. C2×#6510C22semidirect
42. C2×#6509C22semidirect
49. C2×#6501C22semidirect
53. C2×#6500C22semidirect
54. C2×#6498C22semidirect
55. C2×D4×Dic7C22semidirect
56. C2×D4×Dic7C22semidirect
59. C2×#6460C22semidirect
66. C2×#6446C22semidirect
67. C2×#6445C22semidirect
70. C2×D7×C22⋊C4C22semidirect
71. C2×#6442C22semidirect
72. C2×#6441C22semidirect
73. C2×#6441C22semidirect
74. C2×#6440C22semidirect
75. C2×#6439C22semidirect
76. C2×C4×D28C22semidirect
78. C7×#394C22semidirect
79. C7×#393C22semidirect
84. C7×#390C22semidirect
85. C7×#388C22semidirect
86. C7×#388C22semidirect
87. C7×#379C22semidirect
88. #90002C22semidirect
89. #90001C22semidirect
92. #89995C22semidirect
93. #89995C22semidirect
96. #89994C22semidirect
98. #89993C22semidirect
102. #89992C22semidirect
103. #89766C22semidirect
104. #89766C22semidirect
105. #89763C22semidirect
106. #89759C22semidirect
107. #89753C22semidirect
108. #89752C22semidirect
109. #89744C22semidirect
113. #89733C22semidirect
114. #89733C22semidirect
115. #89733C22semidirect
119. #89732C22semidirect
122. #89731C22semidirect
123. #89731C22semidirect
124. #89731C22semidirect
125. #89731C22semidirect
130. #89730C22semidirect
131. #89730C22semidirect
132. #89730C22semidirect
133. #89730C22semidirect
134. #89730C22semidirect
138. #89729C22semidirect
140. #89728C22semidirect
141. #89728C22semidirect
142. #89727C22semidirect
143. #89725C22semidirect
144. #89724C22semidirect
145. #89723C22semidirect
146. #89723C22semidirect
147. #89722C22semidirect
148. #89722C22semidirect
149. #89722C22semidirect
150. #89722C22semidirect
151. #89722C22semidirect
152. #89721C22semidirect
153. #89720C22semidirect
154. #89720C22semidirect
155. #89720C22semidirect
156. #89720C22semidirect
157. #89719C22semidirect
158. #89717C22semidirect
159. #89717C22semidirect
160. #89716C22semidirect
161. #89716C22semidirect
162. #89715C22semidirect
163. #89715C22semidirect
164. #89714C22semidirect
165. #89714C22semidirect
166. #89714C22semidirect
167. #89712C22semidirect
168. #89711C22semidirect
169. #89705C22semidirect
170. C4×Dic7⋊C4C22semidirect
171. #89701C22semidirect
172. #89700C22semidirect
173. #89446C22semidirect
174. #89445C22semidirect
175. #89444C22semidirect
176. #89441C22semidirect
177. #89441C22semidirect
178. #89441C22semidirect
179. #89441C22semidirect
180. #89441C22semidirect
181. #89440C22semidirect
182. #89436C22semidirect
183. #89436C22semidirect
184. #89433C22semidirect
185. #89433C22semidirect
186. #89432C22semidirect
187. #89420C22semidirect
188. #89419C22semidirect
356. (C22⋊D7)⋊C4D4semidirect
409. #2670D7semidirect
671. C2×#124C2×D7semidirect
700. C2×#120C2×D7semidirect
741. #394C2×D7semidirect
744. #393C2×D7semidirect
766. #390C2×D7semidirect
782. #388C2×D7semidirect
783. #388C2×D7semidirect
817. #379C2×D7semidirect
1713. C7#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#903692
C2×#902772
C7×#26702
#117404492
#117404302
#117404152
#117400542
#117400462
#117400422
#117345842
#117345642
#117344632
#117344212
#117343232
#117342532
#117342172
#117342092
#117341992
#117341612
#117341472
#117341402
#117339082
#117338802
#117338342
#117338142
#117333412
#117331252
#117331142
#117329032
#117313032
#117312922
#367247