Finite Group Databasebeta

← #13560864

Subgroups — #13560864

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×#90308C211yesmaximal, characteristic, complemented
2C2×#90297C211yesmaximal, characteristic, complemented
3C7×#2699C211yesmaximal, characteristic, complemented
4#11740165C211yesmaximal, characteristic, complemented
5#11740165C211yesmaximal, characteristic, complemented
6#11735296C211yesmaximal, characteristic, complemented
7#11735256C211yesmaximal, characteristic, complemented
8#11734581C211yesmaximal, characteristic, complemented
9#11734574C211yesmaximal, characteristic, complemented
10#11734452C211yesmaximal, characteristic, complemented
11#11734421C211yesmaximal, characteristic, complemented
12#11734408C211yesmaximal, characteristic, complemented
13#11734390C211yesmaximal, characteristic, complemented
14#11734210C211yesmaximal, characteristic, complemented
15#11734209C211yesmaximal, characteristic, complemented
16#11734147C211yesmaximal, characteristic, complemented
17#11734113C211yesmaximal, characteristic, complemented
18#11733909C211yesmaximal, characteristic, complemented
19#11733740C211yesmaximal, characteristic, complemented
20#11733131C211yesmaximal, characteristic, complemented
21#11733114C211yesmaximal, characteristic, complemented
22#11733095C211yesmaximal, characteristic, complemented
23#11733092C211yesmaximal, characteristic, complemented
24#11732380C211yesmaximal, characteristic, complemented
25#11732359C211yesmaximal, characteristic, complemented
26#11732330C211yesmaximal, characteristic, complemented
27#11732239C211yesmaximal, characteristic, complemented
28#11731591C211yesmaximal, characteristic, complemented
29#11731576C211yesmaximal, characteristic, complemented
30#11731543C211yesmaximal, characteristic, complemented
31#11731539C211yesmaximal, characteristic, complemented
32C22×#1159C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic, complemented
34C2×C7×#121C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic
36C2×#6503C2211yescharacteristic
37C2×#6502C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6502C2211yescharacteristic, complemented
40C2×#6501C2211yescharacteristic
41C2×#6500C2211yescharacteristic
42C2×#6500C2211yescharacteristic
43C2×#6500C2211yescharacteristic, complemented
44C2×#6500C2211yescharacteristic, complemented
45C2×#6500C2211yescharacteristic, complemented
46C2×#6500C2211yescharacteristic, complemented
47C2×D4×Dic7C2211yescharacteristic
48C2×D4×Dic7C2211yescharacteristic, complemented
49C2×D4×Dic7C2211yescharacteristic, complemented
50C2×#6492C2211yescharacteristic
51C2×#6492C2211yescharacteristic
52C22×(C2×D7)⋊C4C2211yescharacteristic, complemented
53C2×#6487C2211yescharacteristic, complemented
54C2×#6487C2211yescharacteristic, complemented
55#90308—28no—
56#90297—28no—
57C2×#6461C2211yescharacteristic, complemented
58C2×#6461C2211yescharacteristic, complemented
59C2×#6460C2211yescharacteristic, complemented
60C2×#6455C2211yescharacteristic, complemented
61C2×#6449C2211yescharacteristic
62C2×#6449C2211yescharacteristic, complemented
63C2×#6448C2211yescharacteristic
64C2×#6448C2211yescharacteristic, complemented
65C2×#6448C2211yescharacteristic, complemented
66C2×#6447C2211yescharacteristic
67C2×#6447C2211yescharacteristic
68C2×#6446C2211yescharacteristic
69C2×#6446C2211yescharacteristic, complemented
70C2×#6445C2211yescharacteristic
71C2×#6445C2211yescharacteristic
72C2×#6445C2211yescharacteristic
73C2×#6445C2211yescharacteristic
74C2×(C22⋊D7)⋊C4C2211yescharacteristic
75C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
76C2×#6441C2211yescharacteristic, complemented
77C7×#398C2211yescharacteristic, complemented
78C7×#394C2211yescharacteristic, complemented
79C7×#394C2211yescharacteristic, complemented
80C7×#394C2211yescharacteristic, complemented
81C7×#392C2211yescharacteristic, complemented
82C7×#392C2211yescharacteristic, complemented
83C7×#390C2211yescharacteristic
84C7×#388C2211yescharacteristic, complemented
85C7×#388C2211yescharacteristic, complemented
86C7×#386C2211yescharacteristic, complemented
87C7×#386C2211yescharacteristic, complemented
88C7×#381C2211yescharacteristic, complemented
89C7×#381C2211yescharacteristic, complemented
90#89995C2211yescharacteristic
91#89995C2211yescharacteristic
92#89995C2211yescharacteristic
93#89995C2211yescharacteristic
94#89995C2211yescharacteristic, complemented
95#89994C2211yescharacteristic, complemented
96#89994C2211yescharacteristic, complemented
97#89993C2211yescharacteristic
98#89992C2211yescharacteristic, complemented
99#89985C2211yescharacteristic
100#89985C2211yescharacteristic
101#89766C2211yescharacteristic, complemented
102#89766C2211yescharacteristic, complemented
103#89766C2211yescharacteristic, complemented
104#89763C2211yescharacteristic
105#89763C2211yescharacteristic
106#89762C2211yescharacteristic, complemented
107#89762C2211yescharacteristic, complemented
108#89762C2211yescharacteristic, complemented
109#89760C2211yescharacteristic
110#89753C2211yescharacteristic, complemented
111C4⋊C4×Dic7C2211yescharacteristic, complemented
112#89745C2211yescharacteristic, complemented
113#89733C2211yescharacteristic
114#89733C2211yescharacteristic
115#89733C2211yescharacteristic
116#89733C2211yescharacteristic
117#89733C2211yescharacteristic, complemented
118#89733C2211yescharacteristic, complemented
119#89733C2211yescharacteristic, complemented
120#89733C2211yescharacteristic, complemented
121#89732C2211yescharacteristic
122#89732C2211yescharacteristic
123#89732C2211yescharacteristic
124#89732C2211yescharacteristic
125#89731C2211yescharacteristic, complemented
126#89731C2211yescharacteristic, complemented
127#89730C2211yescharacteristic, complemented
128#89730C2211yescharacteristic, complemented
129#89730C2211yescharacteristic, complemented
130#89729C2211yescharacteristic, complemented
131#89729C2211yescharacteristic, complemented
132#89729C2211yescharacteristic, complemented
133#89729C2211yescharacteristic, complemented
134#89728C2211yescharacteristic, complemented
135#89728C2211yescharacteristic, complemented
136#89727C2211yescharacteristic, complemented
137#89727C2211yescharacteristic, complemented
138#89724C2211yescharacteristic, complemented
139#89724C2211yescharacteristic, complemented
140#89723C2211yescharacteristic, complemented
141#89722C2211yescharacteristic, complemented
142#89721C2211yescharacteristic, complemented
143#89720C2211yescharacteristic, complemented
144#89718C2211yescharacteristic, complemented
145#89717C2211yescharacteristic, complemented
146#89717C2211yescharacteristic, complemented
147#89716C2211yescharacteristic, complemented
148#89716C2211yescharacteristic, complemented
149#89715C2211yescharacteristic, complemented
150#89715C2211yescharacteristic, complemented
151#89714C2211yescharacteristic, complemented
152#89714C2211yescharacteristic, complemented
153#89711C2211yescharacteristic
154#89711C2211yescharacteristic
155#89704C2211yescharacteristic, complemented
156#89700C2211yescharacteristic, complemented
157#89448C2211yescharacteristic, complemented
158#89448C2211yescharacteristic, complemented
159#89447C2211yescharacteristic, complemented
160#89445C2211yescharacteristic, complemented
161#89445C2211yescharacteristic, complemented
162#89445C2211yescharacteristic, complemented
163#89444C2211yescharacteristic
164#89444C2211yescharacteristic
165#89442C2211yescharacteristic, complemented
166#89441C2211yescharacteristic, complemented
167#89441C2211yescharacteristic, complemented
168#89441C2211yescharacteristic, complemented
169#89440C2211yescharacteristic, complemented
170#89440C2211yescharacteristic, complemented
171#89440C2211yescharacteristic, complemented
172#89440C2211yescharacteristic, complemented
173#89439C2211yescharacteristic, complemented
174#89439C2211yescharacteristic, complemented
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic
178#89437C2211yescharacteristic
179#89437C2211yescharacteristic
180#89437C2211yescharacteristic
181#89433C2211yescharacteristic, complemented
182#89432C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89428C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36724—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
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
212C23×Dic7C2311yescharacteristic
213C23×Dic7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C2×#1159—24no—
217C2×#1159—42no—
218C2×#1159—42no—
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×D28C2311yescharacteristic
222C22×D28C2311yescharacteristic
223C22×C4×D7—24no—
224C22×C4×D7—42no—
225C22×C4×D7—42no—
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×Dic14C2311yescharacteristic
231C22×Dic14C2311yescharacteristic
232C7×#121—24no—
233C7×#121—24no—
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
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×C42×C7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267#6503—42no—
268#6502—24no—
269#6502—24no—
270#6502—42no—
271#6501—24no—
272#6500—24no—
273#6500—24no—
274#6500—24no—
275#6500—24no—
276#6500—42no—
277#6500—42no—
278D4×Dic7—24no—
279D4×Dic7—24no—
280D4×Dic7D418yescomplemented
281#6492—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
316C2×C4⋊Dic7C2311yescharacteristic
317C2×C4⋊Dic7C2311yescharacteristic
318C2×C4⋊Dic7C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×C4⋊Dic7C2311yescharacteristic
322C2×C4⋊Dic7C2311yescharacteristic
323C2×C4⋊Dic7C2311yescharacteristic
324#6487—24no—
325#6487—24no—
326C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
339C2×C4×Dic7C2311yescharacteristic
340C2×C4×Dic7C2311yescharacteristic
341C2×C4×Dic7C2311yescharacteristic
342C2×C4×Dic7C2311yescharacteristic
343C2×C4×Dic7C2311yescharacteristic
344#6461—24no—
345#6461—24no—
346#6460—24no—
347#6455—24no—
348#6449—24no—
349#6449—24no—
350#6448—24no—
351#6448—24no—
352#6448—42no—
353#6447—42no—
354#6447—42no—
355#6446—24no—
356#6446—24no—
357#6445—42no—
358#6445—42no—
359#6445—42no—
360#6445—42no—
361(C22⋊D7)⋊C4—24no—
362(C22⋊D7)⋊C4—24no—
363#6441—42no—
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#2699D711yescharacteristic, complemented
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#2670—71no—
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×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C23×D7—22no—
428C23×D7—22no—
429C23×D7—22no—
430C23×D7—22no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7—41no—
434C23×D7—41no—
435C23×D7—41no—
436C23×D7—41no—
437C23×D7—41no—
438C23×D7—41no—
439C23×D7—41no—
440C23×D7—41no—
441C23×D7C2411yescharacteristic
442C23×D7C2411yescharacteristic
443C23×D7C2411yescharacteristic
444C23×D7C2411yescharacteristic
445C2×C7×D4—22no—
446C2×C7×D4—22no—
447C2×C7×D4—22no—
448C2×C7×D4—22no—
449C2×C7×D4—22no—
450C2×C7×D4—41no—
451C2×C7×D4—41no—
452C2×C7×D4—41no—
453C2×C7×D4—41no—
454C2×C7×D4—41no—
455C2×C7×D4—41no—
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×D4C2×D414yes—
463C22×C4×C7—22no—
464C22×C4×C7—22no—
465C22×C4×C7—22no—
466C22×C4×C7—41no—
467C22×C4×C7—41no—
468C22×C4×C7—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
479C22×C4×C7C2411yescharacteristic
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—22no—
493C2×C22⋊D7—22no—
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—
516C22×Dic7—22no—
517C22×Dic7—22no—
518C22×Dic7—41no—
519C22×Dic7—41no—
520C22×Dic7—41no—
521C22×Dic7—41no—
522C22×Dic7—41no—
523C22×Dic7—41no—
524C22×Dic7—41no—
525C22×Dic7—41no—
526C22×Dic7C2×D414yes—
527C22×Dic7C2×D414yes—
528C22×Dic7C2411yescharacteristic
529C22×Dic7C2411yescharacteristic
530C22×Dic7C2411yescharacteristic
531C22×Dic7C2411yescharacteristic
532C22×Dic7C2411yescharacteristic
533C22×Dic7C2411yescharacteristic
534C22×Dic7C2411yescharacteristic
535C22×Dic7C2411yescharacteristic
536C22×Dic7C2411yescharacteristic
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540#1159—416no—
541C2×D28—22no—
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×C4×D7—22no—
554C2×C4×D7—22no—
555C2×C4×D7—22no—
556C2×C4×D7—22no—
557C2×C4×D7—22no—
558C2×C4×D7—22no—
559C2×C4×D7—22no—
560C2×C4×D7—22no—
561C2×C4×D7—416no—
562C2×C4×D7—41no—
563C2×C4×D7—41no—
564C2×C4×D7—41no—
565C2×C4×D7—41no—
566C2×Dic14—22no—
567C2×Dic14—22no—
568C2×Dic14—22no—
569C2×Dic14—41no—
570C2×Dic14—41no—
571C2×Dic14—41no—
572C7×C4⋊C4—22no—
573C7×C4⋊C4—22no—
574C7×C4⋊C4—41no—
575C7×C4⋊C4—41no—
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—
590C42×C7—41no—
591C22⋊Dic7—22no—
592C22⋊Dic7—22no—
593C22⋊Dic7—22no—
594C22⋊Dic7—22no—
595C22⋊Dic7—41no—
596C22⋊Dic7—41no—
597C22⋊Dic7—41no—
598C22⋊Dic7—41no—
599C22⋊Dic7—41no—
600C22⋊Dic7—41no—
601C22⋊Dic7—41no—
602C22⋊Dic7—41no—
603C22⋊Dic7C2×D414yes—
604C22⋊Dic7C2×D414yes—
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—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)⋊C4—41no—
636(C2×D7)⋊C4—41no—
637C4⋊Dic7—22no—
638C4⋊Dic7—22no—
639C4⋊Dic7—22no—
640C4⋊Dic7—22no—
641C4⋊Dic7—41no—
642C4⋊Dic7—41no—
643C4⋊Dic7—41no—
644C4⋊Dic7C2×D414yes—
645Dic7⋊C4—22no—
646Dic7⋊C4—22no—
647Dic7⋊C4—22no—
648Dic7⋊C4—22no—
649Dic7⋊C4—22no—
650Dic7⋊C4—41no—
651Dic7⋊C4—41no—
652Dic7⋊C4—41no—
653Dic7⋊C4—41no—
654Dic7⋊C4—41no—
655Dic7⋊C4—41no—
656Dic7⋊C4—41no—
657C4×Dic7—22no—
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×#124—71no—
671C2×#124—71no—
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×#121C2×D711yescharacteristic
690C2×#121C2×D711yescharacteristic
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×#120—71no—
700C2×#120—71no—
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#398C2×D711yescharacteristic, complemented
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#394C2×D711yescharacteristic, complemented
740#394C2×D711yescharacteristic, complemented
741#394C2×D711yescharacteristic, complemented
742#393—71no—
743#393—71no—
744#393—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#392C2×D711yescharacteristic, complemented
755#392C2×D711yescharacteristic, complemented
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#390—71no—
766#390C2×D711yescharacteristic
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#386C2×D711yescharacteristic, complemented
801#386C2×D711yescharacteristic, complemented
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#381C2×D711yescharacteristic, complemented
811#381C2×D711yescharacteristic, complemented
812#380—71no—
813#380—71no—
814#380—71no—
815#380—71no—
816#379—71no—
817#379—71no—
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×C7C22×D412yes—
847C23×C7C22×D412yes—
848C23×C7C2511yescharacteristic
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—44no—
877C22×D7—44no—
878C22×D7—44no—
879C22×D7—44no—
880C22×D7—44no—
881C22×D7—44no—
882C22×D7—44no—
883C22×D7—82no—
884C22×D7—82no—
885C22×D7—82no—
886C22×D7—82no—
887C22×D7—82no—
888C22×D7—82no—
889C22×D7H(5,𝔽2)12yes—
890C22×D7H(5,𝔽2)12yes—
891C7×D4—44no—
892C7×D4—44no—
893C7×D4—44no—
894C7×D4—44no—
895C7×D4—82no—
896C7×D4—82no—
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—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×C7—21no—
928C2×C4×C7—44no—
929C2×C4×C7—82no—
930C2×C4×C7C22×D412yes—
931C2×C4×C7H(5,𝔽2)12yes—
932C22⋊D7—44no—
933C22⋊D7—44no—
934C22⋊D7—44no—
935C22⋊D7—44no—
936C22⋊D7—82no—
937C22⋊D7—82no—
938C22⋊D7—82no—
939C22⋊D7—82no—
940C22⋊D7—82no—
941C22⋊D7—82no—
942C22⋊D7—82no—
943C22⋊D7—82no—
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—44no—
977C2×Dic7—44no—
978C2×Dic7—44no—
979C2×Dic7—82no—
980C2×Dic7C22×D412yes—
981C2×Dic7C22×D412yes—
982C2×Dic7C22×D412yes—
983C2×Dic7C22×D412yes—
984D28—82no—
985D28—82no—
986D28—82no—
987D28—82no—
988C4×D7—28no—
989C4×D7—44no—
990C4×D7—44no—
991C4×D7—44no—
992Dic14—44no—
993Dic14—82no—
994C25—71no—
995C25—71no—
996C2×#41—144no—
997C2×#41—282no—
998C2×#41—282no—
999C22×Q8—71no—
1000C22×Q8—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×D4—71no—
1011C22×D4—71no—
1012C22×D4—71no—
1013C22×D4—71no—
1014C22×D4—71no—
1015C22×D4—71no—
1016C22×D4—71no—
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—144no—
1032C23×C4—282no—
1033C23×C4—282no—
1034C23×C4C22×D711yescharacteristic
1035C23×C4C22×D711yescharacteristic
1036#127—282no—
1037#126—144no—
1038#126—144no—
1039#124—144no—
1040#124—144no—
1041#124—282no—
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—24no—
1053#121—24no—
1054#121—144no—
1055#121—144no—
1056#121—144no—
1057#121—282no—
1058#121—282no—
1059#121—282no—
1060#120—144no—
1061#120—144no—
1062#120—144no—
1063#120—144no—
1064#120—282no—
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⋊C4C22×D711yescharacteristic
1097C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1143C2×C22⋊C4—71no—
1144C2×C22⋊C4—71no—
1145C2×C22⋊C4—71no—
1146C2×C22⋊C4—144no—
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×C42—71no—
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#95C22×D711yescharacteristic
1189#95C22×D711yescharacteristic
1190#95C22×D711yescharacteristic
1191#95C22×D711yescharacteristic
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—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×C7—41no—
1217C22×C7—41no—
1218C22×C7—41no—
1219C22×C7—41no—
1220C22×C7—41no—
1221C22×C7—41no—
1222C22×C7—41no—
1223C22×C7—41no—
1224C22×C7C23×D411yescharacteristic
1225C22×C7C2×H(5,𝔽2)11yescharacteristic
1226C22×C7C2×H(5,𝔽2)11yescharacteristic
1227C22×C7C2×H(5,𝔽2)11yescharacteristic
1228C22×C7#58511yescharacteristic
1229C22×C7#58511yescharacteristic
1230C22×C7#58511yescharacteristic
1231C2×D7—22no—
1232C2×D7—22no—
1233C2×D7—22no—
1234C2×D7—22no—
1235C2×D7—22no—
1236C2×D7—22no—
1237C2×D7—416no—
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—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—
1271C4×C7—41no—
1272Dic7—22no—
1273Dic7—22no—
1274Dic7—22no—
1275Dic7—22no—
1276Dic7—41no—
1277Dic7—41no—
1278Dic7—41no—
1279Dic7—41no—
1280Dic7—41no—
1281Dic7—41no—
1282Dic7—41no—
1283Dic7—41no—
1284C24—71no—
1285C24—71no—
1286C24—71no—
1287C24—71no—
1288C24—142no—
1289C24—142no—
1290C24—142no—
1291C24—142no—
1292C24—281no—
1293C24—281no—
1294C24—281no—
1295C24—281no—
1296C24—281no—
1297C24—281no—
1298C24—281no—
1299C24—281no—
1300C24—281no—
1301C24—281no—
1302C24C23×D711yescharacteristic
1303C24C23×D711yescharacteristic
1304C24C23×D711yescharacteristic
1305C24C23×D711yescharacteristic
1306#41—2816no—
1307C2×Q8—142no—
1308C2×Q8—142no—
1309C2×Q8—142no—
1310C2×Q8—281no—
1311C2×Q8—281no—
1312C2×Q8—281no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
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—142no—
1331C2×D4—142no—
1332C2×D4—142no—
1333C2×D4—142no—
1334C2×D4—142no—
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—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—
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×D4D4×D714yes—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—71no—
1386C22×C4—71no—
1387C22×C4—71no—
1388C22×C4—71no—
1389C22×C4—74no—
1390C22×C4—74no—
1391C22×C4—71no—
1392C22×C4—71no—
1393C22×C4—71no—
1394C22×C4—71no—
1395C22×C4—71no—
1396C22×C4—71no—
1397C22×C4—71no—
1398C22×C4—71no—
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—142no—
1408C22×C4—142no—
1409C22×C4—281no—
1410C22×C4—281no—
1411C22×C4—281no—
1412C22×C4—281no—
1413C22×C4—2816no—
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×C4C23×D711yescharacteristic
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—22no—
1434C4⋊C4—22no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—74no—
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—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—74no—
1472C22⋊C4—74no—
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—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⋊C4—281no—
1517C42—41no—
1518C42—74no—
1519C42—142no—
1520C42—142no—
1521C42—281no—
1522C42—281no—
1523C42—281no—
1524C2×C7—42no—
1525C2×C7—42no—
1526C2×C7—81no—
1527C2×C7—81no—
1528C2×C7#344911yescharacteristic
1529C2×C7#348411yescharacteristic
1530C2×C7#348811yescharacteristic
1531C2×C7#353311yescharacteristic
1532C2×C7#353411yescharacteristic
1533C2×C7#354011yescharacteristic
1534C2×C7#354211yescharacteristic
1535D7—42no—
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—72no—
1566C23—72no—
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—141no—
1585C23—141no—
1586C23—141no—
1587C23—141no—
1588C23—141no—
1589C23—141no—
1590C23—141no—
1591C23—141no—
1592C23—141no—
1593C23—284no—
1594C23—284no—
1595C23—284no—
1596C23—284no—
1597C23—284no—
1598C23—284no—
1599C23—284no—
1600C23—284no—
1601C23—562no—
1602C23—562no—
1603C23—562no—
1604C23—562no—
1605C23—562no—
1606C23—562no—
1607C23C2×D4×D712yes—
1608C23C2×D4×D712yes—
1609C23C24×D711yescharacteristic
1610Q8—284no—
1611Q8—562no—
1612D4—44no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—82no—
1617D4—82no—
1618D4—284no—
1619D4—284no—
1620D4—284no—
1621D4—284no—
1622D4—562no—
1623D4—562no—
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—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—72no—
1667C2×C4—72no—
1668C2×C4—72no—
1669C2×C4—72no—
1670C2×C4—82no—
1671C2×C4—148no—
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—141no—
1703C2×C4—141no—
1704C2×C4—284no—
1705C2×C4—284no—
1706C2×C4—284no—
1707C2×C4—284no—
1708C2×C4—284no—
1709C2×C4—284no—
1710C2×C4—562no—
1711C2×C4C2×D4×D712yes—
1712C2×C4#655312yes—
1713C7#3672411yescharacteristic, complemented, Sylow
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
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—142no—
1743C22—142no—
1744C22—142no—
1745C22—142no—
1746C22—142no—
1747C22—142no—
1748C22—2816no—
1749C22—281no—
1750C22—281no—
1751C22—281no—
1752C22—281no—
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×#655311yescharacteristic
1774C22#9061611yescharacteristic
1775C22D7×H(5,𝔽2)11yescharacteristic
1776C22D7×H(5,𝔽2)11yescharacteristic
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—41no—
1790C4—142no—
1791C4—142no—
1792C4—142no—
1793C4—142no—
1794C4—281no—
1795C4—281no—
1796C4—281no—
1797C4—281no—
1798C4—281no—
1799C4—281no—
1800C4—281no—
1801C4—281no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—282no—
1807C2—282no—
1808C2—561no—
1809C2—561no—
1810C2#1174336211yescharacteristic
1811C2#1174355711yescharacteristic
1812C2#1174356011yescharacteristic
1813C2#1174369711yescharacteristic
1814C2#1174373011yescharacteristic
1815C2#1174404211yescharacteristic
1816C2#1174415011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2699C2
hypercenter#2699D7
hypocenterC7#36724
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2699

Complements

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

NH ≅ G/Ntype
1. C2×#90308C2semidirect
2. C2×#90297C2semidirect
3. C7×#2699C2semidirect
4. #11740165C2semidirect
5. #11740165C2semidirect
6. #11735296C2semidirect
7. #11735256C2semidirect
8. #11734581C2semidirect
9. #11734574C2semidirect
10. #11734452C2semidirect
11. #11734421C2semidirect
12. #11734408C2semidirect
13. #11734390C2semidirect
14. #11734210C2semidirect
15. #11734209C2semidirect
16. #11734147C2semidirect
17. #11734113C2semidirect
18. #11733909C2semidirect
19. #11733740C2semidirect
20. #11733131C2semidirect
21. #11733114C2semidirect
22. #11733095C2semidirect
23. #11733092C2semidirect
24. #11732380C2semidirect
25. #11732359C2semidirect
26. #11732330C2semidirect
27. #11732239C2semidirect
28. #11731591C2semidirect
29. #11731576C2semidirect
30. #11731543C2semidirect
31. #11731539C2semidirect
33. C23×C4×D7C22semidirect
39. C2×#6502C22semidirect
43. C2×#6500C22semidirect
44. C2×#6500C22semidirect
45. C2×#6500C22semidirect
46. C2×#6500C22semidirect
48. C2×D4×Dic7C22semidirect
49. C2×D4×Dic7C22semidirect
52. C22×(C2×D7)⋊C4C22semidirect
53. C2×#6487C22semidirect
54. C2×#6487C22semidirect
57. C2×#6461C22semidirect
58. C2×#6461C22semidirect
59. C2×#6460C22semidirect
60. C2×#6455C22semidirect
62. C2×#6449C22semidirect
64. C2×#6448C22semidirect
65. C2×#6448C22semidirect
69. C2×#6446C22semidirect
75. C2×(C22⋊D7)⋊C4C22semidirect
76. C2×#6441C22semidirect
77. C7×#398C22semidirect
78. C7×#394C22semidirect
79. C7×#394C22semidirect
80. C7×#394C22semidirect
81. C7×#392C22semidirect
82. C7×#392C22semidirect
84. C7×#388C22semidirect
85. C7×#388C22semidirect
86. C7×#386C22semidirect
87. C7×#386C22semidirect
88. C7×#381C22semidirect
89. C7×#381C22semidirect
94. #89995C22semidirect
95. #89994C22semidirect
96. #89994C22semidirect
98. #89992C22semidirect
101. #89766C22semidirect
102. #89766C22semidirect
103. #89766C22semidirect
106. #89762C22semidirect
107. #89762C22semidirect
108. #89762C22semidirect
110. #89753C22semidirect
111. C4⋊C4×Dic7C22semidirect
112. #89745C22semidirect
117. #89733C22semidirect
118. #89733C22semidirect
119. #89733C22semidirect
120. #89733C22semidirect
125. #89731C22semidirect
126. #89731C22semidirect
127. #89730C22semidirect
128. #89730C22semidirect
129. #89730C22semidirect
130. #89729C22semidirect
131. #89729C22semidirect
132. #89729C22semidirect
133. #89729C22semidirect
134. #89728C22semidirect
135. #89728C22semidirect
136. #89727C22semidirect
137. #89727C22semidirect
138. #89724C22semidirect
139. #89724C22semidirect
140. #89723C22semidirect
141. #89722C22semidirect
142. #89721C22semidirect
143. #89720C22semidirect
144. #89718C22semidirect
145. #89717C22semidirect
146. #89717C22semidirect
147. #89716C22semidirect
148. #89716C22semidirect
149. #89715C22semidirect
150. #89715C22semidirect
151. #89714C22semidirect
152. #89714C22semidirect
155. #89704C22semidirect
156. #89700C22semidirect
157. #89448C22semidirect
158. #89448C22semidirect
159. #89447C22semidirect
160. #89445C22semidirect
161. #89445C22semidirect
162. #89445C22semidirect
165. #89442C22semidirect
166. #89441C22semidirect
167. #89441C22semidirect
168. #89441C22semidirect
169. #89440C22semidirect
170. #89440C22semidirect
171. #89440C22semidirect
172. #89440C22semidirect
173. #89439C22semidirect
174. #89439C22semidirect
181. #89433C22semidirect
182. #89432C22semidirect
183. #89429C22semidirect
184. #89428C22semidirect
185. #89426C22semidirect
186. #89419C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
280. D4×Dic7D4semidirect
399. #2699D7semidirect
712. #398C2×D7semidirect
739. #394C2×D7semidirect
740. #394C2×D7semidirect
741. #394C2×D7semidirect
754. #392C2×D7semidirect
755. #392C2×D7semidirect
782. #388C2×D7semidirect
783. #388C2×D7semidirect
800. #386C2×D7semidirect
801. #386C2×D7semidirect
810. #381C2×D7semidirect
811. #381C2×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×#903082
C2×#902972
C7×#26992
#117401652
#117352962
#117352562
#117345812
#117345742
#117344522
#117344212
#117344082
#117343902
#117342102
#117342092
#117341472
#117341132
#117339092
#117337402
#117331312
#117331142
#117330952
#117330922
#117323802
#117323592
#117323302
#117322392
#117315912
#117315762
#117315432
#117315392
#367247