Finite Group Databasebeta

← #13560555

Subgroups — #13560555

Order 1792.

3018 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90298C211yesmaximal, characteristic, complemented
2C2×D7×#121C211yesmaximal, characteristic, complemented
3C7×#2688C211yesmaximal, characteristic, complemented
4#11740160C211yesmaximal, characteristic, complemented
5#11740134C211yesmaximal, characteristic, complemented
6#11735810C211yesmaximal, characteristic, complemented
7#11735790C211yesmaximal, characteristic, complemented
8#11735139C211yesmaximal, characteristic, complemented
9#11735137C211yesmaximal, characteristic, complemented
10#11735121C211yesmaximal, characteristic, complemented
11#11735113C211yesmaximal, characteristic, complemented
12#11734567C211yesmaximal, characteristic, complemented
13#11734453C211yesmaximal, characteristic, complemented
14#11734214C211yesmaximal, characteristic, complemented
15#11734205C211yesmaximal, characteristic, complemented
16#11734200C211yesmaximal, characteristic, complemented
17#11734157C211yesmaximal, characteristic, complemented
18#11732381C211yesmaximal, characteristic, complemented
19#11732365C211yesmaximal, characteristic, complemented
20#11732360C211yesmaximal, characteristic, complemented
21#11732358C211yesmaximal, characteristic, complemented
22#11732335C211yesmaximal, characteristic, complemented
23#11732333C211yesmaximal, characteristic, complemented
24#11732331C211yesmaximal, characteristic, complemented
25#11732319C211yesmaximal, characteristic, complemented
26#11732236C211yesmaximal, characteristic, complemented
27#11732235C211yesmaximal, characteristic, complemented
28#11732073C211yesmaximal, characteristic, complemented
29#11732045C211yesmaximal, characteristic, complemented
30#11731591C211yesmaximal, characteristic, complemented
31#11731583C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C22×D4×D7C2211yescharacteristic
34C22×D4×D7C2211yescharacteristic
35C22×#1157C2211yescharacteristic
36C23×C4×D7C2211yescharacteristic
37C2×C7×#121C2211yescharacteristic
38C2×C7×#121C2211yescharacteristic, complemented
39C2×#6503C2211yescharacteristic, complemented
40C2×#6503C2211yescharacteristic, complemented
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×#6502C2211yescharacteristic, complemented
44C2×#6501C2211yescharacteristic
45C2×#6501C2211yescharacteristic, complemented
46C2×#6501C2211yescharacteristic, complemented
47C2×#6500C2211yescharacteristic
48C2×#6500C2211yescharacteristic
49C2×#6500C2211yescharacteristic
50C2×#6493C2211yescharacteristic
51C2×#6493C2211yescharacteristic, complemented
52C2×#6493C2211yescharacteristic, complemented
53C2×#6492C2211yescharacteristic, complemented
54C22×(C2×D7)⋊C4C2211yescharacteristic
55#90298—28no—
56D7×#121—28no—
57C2×#6458C2211yescharacteristic
58C2×#6458C2211yescharacteristic, complemented
59C2×#6457C2211yescharacteristic
60C2×#6455C2211yescharacteristic
61C2×D7×C4⋊C4C2211yescharacteristic
62C2×#6449C2211yescharacteristic, complemented
63C2×#6448C2211yescharacteristic, complemented
64C2×#6448C2211yescharacteristic, complemented
65C2×#6447C2211yescharacteristic
66C2×#6447C2211yescharacteristic
67C2×#6447C2211yescharacteristic, complemented
68C2×#6446C2211yescharacteristic
69C2×#6446C2211yescharacteristic, complemented
70C2×#6446C2211yescharacteristic, complemented
71C2×#6445C2211yescharacteristic
72C2×#6445C2211yescharacteristic
73C2×#6445C2211yescharacteristic
74C2×D7×C22⋊C4C2211yescharacteristic
75C2×D7×C22⋊C4C2211yescharacteristic
76C2×D7×C22⋊C4C2211yescharacteristic
77C7×#400C2211yescharacteristic, complemented
78C7×#397C2211yescharacteristic, complemented
79C7×#397C2211yescharacteristic, complemented
80C7×#394C2211yescharacteristic, complemented
81C7×#392C2211yescharacteristic, complemented
82C7×#392C2211yescharacteristic, complemented
83C7×#386C2211yescharacteristic, complemented
84C7×#386C2211yescharacteristic, complemented
85C7×#386C2211yescharacteristic, complemented
86C7×#386C2211yescharacteristic, complemented
87C7×#386C2211yescharacteristic, complemented
88C7×#385C2211yescharacteristic, complemented
89C7×#381C2211yescharacteristic, complemented
90#89995C2211yescharacteristic, complemented
91#89995C2211yescharacteristic, complemented
92#89995C2211yescharacteristic, complemented
93#89995C2211yescharacteristic, complemented
94#89995C2211yescharacteristic, complemented
95#89994C2211yescharacteristic, complemented
96#89994C2211yescharacteristic, complemented
97#89992C2211yescharacteristic, complemented
98#89992C2211yescharacteristic, complemented
99#89992C2211yescharacteristic, complemented
100#89985C2211yescharacteristic, complemented
101#89985C2211yescharacteristic, complemented
102#89984C2211yescharacteristic, complemented
103#89982C2211yescharacteristic, complemented
104#89982C2211yescharacteristic, complemented
105#89765C2211yescharacteristic, complemented
106#89763C2211yescharacteristic, complemented
107#89761C2211yescharacteristic, complemented
108#89759C2211yescharacteristic, complemented
109#89755C2211yescharacteristic, complemented
110#89754C2211yescharacteristic, complemented
111#89751C2211yescharacteristic, complemented
112#89733C2211yescharacteristic, complemented
113#89733C2211yescharacteristic, complemented
114#89733C2211yescharacteristic, complemented
115#89733C2211yescharacteristic, complemented
116#89733C2211yescharacteristic, complemented
117#89733C2211yescharacteristic, complemented
118#89733C2211yescharacteristic, complemented
119#89732C2211yescharacteristic, complemented
120#89732C2211yescharacteristic, complemented
121#89732C2211yescharacteristic, complemented
122#89732C2211yescharacteristic, complemented
123#89732C2211yescharacteristic, complemented
124#89731C2211yescharacteristic, complemented
125#89731C2211yescharacteristic, complemented
126#89731C2211yescharacteristic, complemented
127#89731C2211yescharacteristic, complemented
128#89731C2211yescharacteristic, complemented
129#89730C2211yescharacteristic, complemented
130#89730C2211yescharacteristic, complemented
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic
133#89728C2211yescharacteristic, complemented
134#89728C2211yescharacteristic, complemented
135#89728C2211yescharacteristic, complemented
136#89728C2211yescharacteristic, complemented
137#89727C2211yescharacteristic
138#89727C2211yescharacteristic
139#89727C2211yescharacteristic
140#89727C2211yescharacteristic
141#89724C2211yescharacteristic, complemented
142#89723C2211yescharacteristic, complemented
143#89723C2211yescharacteristic, complemented
144#89722C2211yescharacteristic, complemented
145#89721C2211yescharacteristic, complemented
146#89719C2211yescharacteristic, complemented
147#89715C2211yescharacteristic, complemented
148#89714C2211yescharacteristic, complemented
149#89449C2211yescharacteristic, complemented
150#89447C2211yescharacteristic, complemented
151#89446C2211yescharacteristic, complemented
152#89445C2211yescharacteristic, complemented
153#89444C2211yescharacteristic, complemented
154#89444C2211yescharacteristic, complemented
155#89443C2211yescharacteristic, complemented
156#89443C2211yescharacteristic, complemented
157#89441C2211yescharacteristic, complemented
158#89441C2211yescharacteristic, complemented
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic
161#89440C2211yescharacteristic
162#89440C2211yescharacteristic
163#89440C2211yescharacteristic, complemented
164#89440C2211yescharacteristic, complemented
165#89440C2211yescharacteristic, complemented
166#89439C2211yescharacteristic, complemented
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic, complemented
170#89437C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89436C2211yescharacteristic
178#89436C2211yescharacteristic
179#89436C2211yescharacteristic
180#89436C2211yescharacteristic
181#89436C2211yescharacteristic, complemented
182#89436C2211yescharacteristic, complemented
183#89433C2211yescharacteristic, complemented
184#89428C2211yescharacteristic, complemented
185#89427C2211yescharacteristic, complemented
186#89427C2211yescharacteristic, complemented
187#89426C2211yescharacteristic, complemented
188#89426C2211yescharacteristic, complemented
189#36704—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C24×D7C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C22×C7×D4C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
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
214C22×C22⋊D7C2311yescharacteristic
215C22×C22⋊D7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C2×D4×D7—24no—
219C2×D4×D7—24no—
220C2×D4×D7—42no—
221C2×D4×D7—42no—
222C2×D4×D7—42no—
223C2×D4×D7—42no—
224C2×D4×D7—42no—
225C2×D4×D7—42no—
226C2×D4×D7D418yescomplemented
227C2×#1157—24no—
228C2×#1157—42no—
229C2×#1157—42no—
230C22×D28C2311yescharacteristic
231C22×D28C2311yescharacteristic
232C22×D28C2311yescharacteristic
233C22×D28C2311yescharacteristic
234C22×D28C2311yescharacteristic
235C22×D28C2311yescharacteristic
236C22×D28C2311yescharacteristic
237C22×C4×D7—24no—
238C22×C4×D7—42no—
239C22×C4×D7—42no—
240C22×C4×D7C2311yescharacteristic
241C22×C4×D7C2311yescharacteristic
242C22×C4×D7C2311yescharacteristic
243C22×C4×D7C2311yescharacteristic
244C22×C4×D7C2311yescharacteristic
245C22×C4×D7C2311yescharacteristic
246C22×C4×D7C2311yescharacteristic
247C22×C4×D7C2311yescharacteristic
248C22×C4×D7C2311yescharacteristic
249C22×Dic14C2311yescharacteristic
250C7×#121—24no—
251C7×#121—24no—
252C2×C7×C4⋊C4C2311yescharacteristic
253C2×C7×C4⋊C4C2311yescharacteristic
254C2×C7×C4⋊C4C2311yescharacteristic
255C2×C7×C22⋊C4C2311yescharacteristic
256C2×C7×C22⋊C4C2311yescharacteristic
257C2×C7×C22⋊C4C2311yescharacteristic
258C2×C7×C22⋊C4C2311yescharacteristic
259C2×C7×C22⋊C4C2311yescharacteristic
260C2×C7×C22⋊C4C2311yescharacteristic
261C2×C7×C22⋊C4C2311yescharacteristic
262C2×C7×C22⋊C4C2311yescharacteristic
263C2×C7×C22⋊C4C2311yescharacteristic
264C2×C7×C22⋊C4C2311yescharacteristic
265C2×C7×C22⋊C4C2311yescharacteristic
266C2×C7×C22⋊C4C2311yescharacteristic
267C2×C7×C22⋊C4C2311yescharacteristic
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
280C2×C22⋊Dic7C2311yescharacteristic
281#6503—24no—
282#6503—24no—
283#6502—24no—
284#6502—24no—
285#6502—42no—
286#6501—24no—
287#6501—24no—
288#6501—42no—
289#6500—24no—
290#6500—24no—
291#6500—42no—
292#6493—24no—
293#6493—24no—
294#6493—42no—
295#6492—42no—
296C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
320C2×(C2×D7)⋊C4C2311yescharacteristic
321C2×(C2×D7)⋊C4C2311yescharacteristic
322C2×(C2×D7)⋊C4C2311yescharacteristic
323C2×(C2×D7)⋊C4C2311yescharacteristic
324C2×(C2×D7)⋊C4C2311yescharacteristic
325C2×(C2×D7)⋊C4C2311yescharacteristic
326C2×(C2×D7)⋊C4C2311yescharacteristic
327C2×(C2×D7)⋊C4C2311yescharacteristic
328C2×(C2×D7)⋊C4C2311yescharacteristic
329C2×C4⋊Dic7C2311yescharacteristic
330C2×C4⋊Dic7C2311yescharacteristic
331C2×C4⋊Dic7C2311yescharacteristic
332C2×C4⋊Dic7C2311yescharacteristic
333C2×C4⋊Dic7C2311yescharacteristic
334C2×C4⋊Dic7C2311yescharacteristic
335C2×C4⋊Dic7C2311yescharacteristic
336C2×Dic7⋊C4C2311yescharacteristic
337C2×Dic7⋊C4C2311yescharacteristic
338C2×Dic7⋊C4C2311yescharacteristic
339C2×Dic7⋊C4C2311yescharacteristic
340C2×Dic7⋊C4C2311yescharacteristic
341C2×Dic7⋊C4C2311yescharacteristic
342C2×Dic7⋊C4C2311yescharacteristic
343C2×Dic7⋊C4C2311yescharacteristic
344C2×C4×Dic7C2311yescharacteristic
345C2×C4×Dic7C2311yescharacteristic
346#6458—24no—
347#6458—24no—
348#6457—42no—
349#6455—24no—
350D7×C4⋊C4—24no—
351#6449—42no—
352#6448—24no—
353#6448—24no—
354#6447—24no—
355#6447—24no—
356#6447—42no—
357#6446—42no—
358#6446—42no—
359#6446—42no—
360#6445—24no—
361#6445—24no—
362#6445—42no—
363D7×C22⋊C4—24no—
364D7×C22⋊C4—24no—
365D7×C22⋊C4—42no—
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
392C7⋊#95C2311yescharacteristic
393C7⋊#95C2311yescharacteristic
394C7⋊#95C2311yescharacteristic
395C7⋊#95C2311yescharacteristic
396C7⋊#95C2311yescharacteristic
397C7⋊#95C2311yescharacteristic
398C2×#535—71no—
399C22×#121—71no—
400#2849—71no—
401#2849—71no—
402#2688—71no—
403#2688—71no—
404#2688—71no—
405#2688D711yescharacteristic, complemented
406#2686—71no—
407#2686—71no—
408#2686—71no—
409#2686—71no—
410#2673—71no—
411#2673—71no—
412#2673—71no—
413#2673—71no—
414#2671—71no—
415#2671—71no—
416#2671—71no—
417#2671—71no—
418#2613—71no—
419#2613—71no—
420#2484—71no—
421#2482—71no—
422#2412—71no—
423#2412—71no—
424#2410—71no—
425#2410—71no—
426#2406—71no—
427#2404—71no—
428#2308—71no—
429C24×C7C2411yescharacteristic
430C24×C7C2411yescharacteristic
431C24×C7C2411yescharacteristic
432C24×C7C2411yescharacteristic
433C23×D7—22no—
434C23×D7—22no—
435C23×D7—22no—
436C23×D7—22no—
437C23×D7—22no—
438C23×D7—22no—
439C23×D7—22no—
440C23×D7—41no—
441C23×D7—41no—
442C23×D7—41no—
443C23×D7—41no—
444C23×D7—41no—
445C23×D7—41no—
446C23×D7—41no—
447C23×D7—41no—
448C23×D7—41no—
449C23×D7—41no—
450C23×D7—41no—
451C23×D7—41no—
452C23×D7C2×D414yes—
453C23×D7C2×D414yes—
454C23×D7C2411yescharacteristic
455C23×D7C2411yescharacteristic
456C23×D7C2411yescharacteristic
457C23×D7C2411yescharacteristic
458C23×D7C2411yescharacteristic
459C2×C7×D4—22no—
460C2×C7×D4—22no—
461C2×C7×D4—22no—
462C2×C7×D4—22no—
463C2×C7×D4—22no—
464C2×C7×D4—41no—
465C2×C7×D4—41no—
466C2×C7×D4—41no—
467C2×C7×D4—41no—
468C2×C7×D4—41no—
469C2×C7×D4—41no—
470C2×C7×D4—41no—
471C2×C7×D4—41no—
472C2×C7×D4—41no—
473C2×C7×D4—41no—
474C2×C7×D4—41no—
475C2×C7×D4—41no—
476C2×C7×D4C2×D414yes—
477C22×C4×C7—22no—
478C22×C4×C7—22no—
479C22×C4×C7—22no—
480C22×C4×C7—41no—
481C22×C4×C7—41no—
482C22×C4×C7—41no—
483C22×C4×C7—41no—
484C22×C4×C7—41no—
485C22×C4×C7—41no—
486C22×C4×C7C2411yescharacteristic
487C22×C4×C7C2411yescharacteristic
488C22×C4×C7C2411yescharacteristic
489C22×C4×C7C2411yescharacteristic
490C22×C4×C7C2411yescharacteristic
491C22×C4×C7C2411yescharacteristic
492C22×C4×C7C2411yescharacteristic
493C22×C4×C7C2411yescharacteristic
494C22×C4×C7C2411yescharacteristic
495C22×C4×C7C2411yescharacteristic
496C22×C4×C7C2411yescharacteristic
497C2×C22⋊D7—22no—
498C2×C22⋊D7—22no—
499C2×C22⋊D7—22no—
500C2×C22⋊D7—22no—
501C2×C22⋊D7—22no—
502C2×C22⋊D7—22no—
503C2×C22⋊D7—22no—
504C2×C22⋊D7—22no—
505C2×C22⋊D7—22no—
506C2×C22⋊D7—22no—
507C2×C22⋊D7—22no—
508C2×C22⋊D7—22no—
509C2×C22⋊D7—22no—
510C2×C22⋊D7—22no—
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—
518C2×C22⋊D7—41no—
519C2×C22⋊D7—41no—
520C2×C22⋊D7—41no—
521C2×C22⋊D7—41no—
522C2×C22⋊D7—41no—
523C2×C22⋊D7—41no—
524C2×C22⋊D7—41no—
525C2×C22⋊D7—41no—
526C2×C22⋊D7—41no—
527C2×C22⋊D7—41no—
528C2×C22⋊D7—41no—
529C2×C22⋊D7—41no—
530C2×C22⋊D7—41no—
531C2×C22⋊D7—41no—
532C2×C22⋊D7—41no—
533C2×C22⋊D7—41no—
534C2×C22⋊D7—41no—
535C2×C22⋊D7—41no—
536C2×C22⋊D7—41no—
537C2×C22⋊D7C2×D414yes—
538C2×C22⋊D7C2×D414yes—
539C22×Dic7—22no—
540C22×Dic7—22no—
541C22×Dic7—41no—
542C22×Dic7—41no—
543C22×Dic7—41no—
544C22×Dic7—41no—
545C22×Dic7C2411yescharacteristic
546C22×Dic7C2411yescharacteristic
547C22×Dic7C2411yescharacteristic
548C22×Dic7C2411yescharacteristic
549C22×Dic7C2411yescharacteristic
550C22×Dic7C2411yescharacteristic
551C22×Dic7C2411yescharacteristic
552C22×Dic7C2411yescharacteristic
553C22×Dic7C2411yescharacteristic
554C22×Dic7C2411yescharacteristic
555C22×Dic7C2411yescharacteristic
556D4×D7—416no—
557D4×D7—416no—
558D4×D7—416no—
559#1157—416no—
560C2×D28—22no—
561C2×D28—22no—
562C2×D28—22no—
563C2×D28—22no—
564C2×D28—22no—
565C2×D28—22no—
566C2×D28—22no—
567C2×D28—22no—
568C2×D28—41no—
569C2×D28—41no—
570C2×D28—41no—
571C2×D28—41no—
572C2×D28—41no—
573C2×D28—41no—
574C2×D28—41no—
575C2×D28—41no—
576C2×D28—41no—
577C2×D28—41no—
578C2×D28—41no—
579C2×D28—41no—
580C2×D28C2×D414yes—
581C2×C4×D7—22no—
582C2×C4×D7—22no—
583C2×C4×D7—22no—
584C2×C4×D7—22no—
585C2×C4×D7—22no—
586C2×C4×D7—22no—
587C2×C4×D7—22no—
588C2×C4×D7—22no—
589C2×C4×D7—22no—
590C2×C4×D7—22no—
591C2×C4×D7—22no—
592C2×C4×D7—22no—
593C2×C4×D7—22no—
594C2×C4×D7—22no—
595C2×C4×D7—416no—
596C2×C4×D7—41no—
597C2×C4×D7—41no—
598C2×C4×D7—41no—
599C2×C4×D7—41no—
600C2×C4×D7—41no—
601C2×C4×D7—41no—
602C2×C4×D7—41no—
603C2×C4×D7—41no—
604C2×C4×D7—41no—
605C2×C4×D7—41no—
606C2×C4×D7—41no—
607C2×C4×D7—41no—
608C2×C4×D7C2×D414yes—
609C2×Dic14—22no—
610C2×Dic14—41no—
611C2×Dic14—41no—
612C7×C4⋊C4—22no—
613C7×C4⋊C4—22no—
614C7×C4⋊C4—41no—
615C7×C22⋊C4—22no—
616C7×C22⋊C4—22no—
617C7×C22⋊C4—22no—
618C7×C22⋊C4—22no—
619C7×C22⋊C4—22no—
620C7×C22⋊C4—41no—
621C7×C22⋊C4—41no—
622C7×C22⋊C4—41no—
623C7×C22⋊C4—41no—
624C7×C22⋊C4—41no—
625C7×C22⋊C4—41no—
626C7×C22⋊C4—41no—
627C7×C22⋊C4—41no—
628C22⋊Dic7—22no—
629C22⋊Dic7—22no—
630C22⋊Dic7—22no—
631C22⋊Dic7—22no—
632C22⋊Dic7—22no—
633C22⋊Dic7—41no—
634C22⋊Dic7—41no—
635C22⋊Dic7—41no—
636C22⋊Dic7—41no—
637C22⋊Dic7—41no—
638C22⋊Dic7—41no—
639C22⋊Dic7—41no—
640C22⋊Dic7—41no—
641(C2×D7)⋊C4—22no—
642(C2×D7)⋊C4—22no—
643(C2×D7)⋊C4—22no—
644(C2×D7)⋊C4—22no—
645(C2×D7)⋊C4—22no—
646(C2×D7)⋊C4—22no—
647(C2×D7)⋊C4—22no—
648(C2×D7)⋊C4—22no—
649(C2×D7)⋊C4—22no—
650(C2×D7)⋊C4—22no—
651(C2×D7)⋊C4—22no—
652(C2×D7)⋊C4—22no—
653(C2×D7)⋊C4—22no—
654(C2×D7)⋊C4—22no—
655(C2×D7)⋊C4—22no—
656(C2×D7)⋊C4—22no—
657(C2×D7)⋊C4—41no—
658(C2×D7)⋊C4—41no—
659(C2×D7)⋊C4—41no—
660(C2×D7)⋊C4—41no—
661(C2×D7)⋊C4—41no—
662(C2×D7)⋊C4—41no—
663(C2×D7)⋊C4—41no—
664(C2×D7)⋊C4—41no—
665(C2×D7)⋊C4—41no—
666(C2×D7)⋊C4—41no—
667(C2×D7)⋊C4—41no—
668(C2×D7)⋊C4—41no—
669(C2×D7)⋊C4—41no—
670(C2×D7)⋊C4—41no—
671(C2×D7)⋊C4—41no—
672(C2×D7)⋊C4—41no—
673C4⋊Dic7—22no—
674C4⋊Dic7—22no—
675C4⋊Dic7—22no—
676C4⋊Dic7—22no—
677C4⋊Dic7—41no—
678C4⋊Dic7—41no—
679C4⋊Dic7—41no—
680Dic7⋊C4—22no—
681Dic7⋊C4—22no—
682Dic7⋊C4—22no—
683Dic7⋊C4—22no—
684Dic7⋊C4—41no—
685Dic7⋊C4—41no—
686Dic7⋊C4—41no—
687Dic7⋊C4—41no—
688C4×Dic7—22no—
689C4×Dic7—22no—
690C22×#41—71no—
691C23×D4—71no—
692C23×D4—71no—
693C23×D4—71no—
694C24×C4—71no—
695#535—148no—
696C2×#127—71no—
697C2×#127—71no—
698C2×#124—71no—
699C2×#124—71no—
700C2×#123—71no—
701C2×#123—71no—
702C2×#123—71no—
703C2×#123—71no—
704C2×#123—71no—
705C2×#123—71no—
706C2×#121—71no—
707C2×#121—71no—
708C2×#121—71no—
709C2×#121—71no—
710C2×#121—71no—
711C2×#121—71no—
712C2×#121—71no—
713C2×#121—71no—
714C2×#121—71no—
715C2×#121—71no—
716C2×#121—71no—
717C2×#121—71no—
718C2×#121—71no—
719C2×#121—71no—
720C2×#121—148no—
721C2×#121C2×D711yescharacteristic
722C2×#121C2×D711yescharacteristic, complemented
723C2×#120—71no—
724C2×#120—71no—
725C2×#120—71no—
726C2×#120—71no—
727C2×#120—71no—
728C2×#120—71no—
729C2×#117—71no—
730C22×C4⋊C4—71no—
731C22×C22⋊C4—71no—
732C22×C22⋊C4—71no—
733C22×C22⋊C4—71no—
734C22×C22⋊C4—71no—
735#400—71no—
736#400C2×D711yescharacteristic, complemented
737#399—71no—
738#399—71no—
739#398—71no—
740#398—71no—
741#397—71no—
742#397—71no—
743#397—71no—
744#397—71no—
745#397C2×D711yescharacteristic, complemented
746#397C2×D711yescharacteristic, complemented
747#395—71no—
748#395—71no—
749#394—71no—
750#394—71no—
751#394—71no—
752#394—71no—
753#394—71no—
754#394—71no—
755#394—71no—
756#394—71no—
757#394—71no—
758#394—71no—
759#394—71no—
760#394—71no—
761#394—71no—
762#394—71no—
763#394—71no—
764#394—71no—
765#394—71no—
766#394C2×D711yescharacteristic, complemented
767#393—71no—
768#393—71no—
769#392—71no—
770#392—71no—
771#392—71no—
772#392—71no—
773#392—71no—
774#392—71no—
775#392—71no—
776#392—71no—
777#392—71no—
778#392—71no—
779#392—71no—
780#392—71no—
781#392C2×D711yescharacteristic, complemented
782#392C2×D711yescharacteristic, complemented
783#388—71no—
784#388—71no—
785#388—71no—
786#388—71no—
787#387—71no—
788#387—71no—
789#387—71no—
790#387—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#386—71no—
803#386—71no—
804#386—71no—
805#386—71no—
806#386—71no—
807#386—71no—
808#386—71no—
809#386—71no—
810#386—71no—
811#386—71no—
812#386—71no—
813#386—71no—
814#386C2×D711yescharacteristic, complemented
815#386C2×D711yescharacteristic, complemented
816#386C2×D711yescharacteristic, complemented
817#386C2×D711yescharacteristic, complemented
818#386C2×D711yescharacteristic, complemented
819#385—71no—
820#385—71no—
821#385—71no—
822#385—71no—
823#385—71no—
824#385—71no—
825#385—71no—
826#385—71no—
827#385—71no—
828#385—71no—
829#385—71no—
830#385C2×D711yescharacteristic, complemented
831#381—71no—
832#381—71no—
833#381—71no—
834#381—71no—
835#381—71no—
836#381—71no—
837#381—71no—
838#381C2×D711yescharacteristic, complemented
839#380—71no—
840#380—71no—
841#380—71no—
842#380—71no—
843#379—71no—
844#379—71no—
845#379—71no—
846#379—71no—
847C23×C7—21no—
848C23×C7—21no—
849C23×C7—21no—
850C23×C7—21no—
851C23×C7—21no—
852C23×C7—21no—
853C23×C7—21no—
854C23×C7—21no—
855C23×C7—21no—
856C23×C7—21no—
857C23×C7—21no—
858C23×C7—21no—
859C23×C7—21no—
860C23×C7—21no—
861C23×C7—21no—
862C23×C7—21no—
863C23×C7—21no—
864C23×C7—21no—
865C23×C7—21no—
866C23×C7—21no—
867C23×C7—21no—
868C23×C7—21no—
869C23×C7—21no—
870C23×C7—21no—
871C23×C7—21no—
872C23×C7—21no—
873C23×C7C22×D412yes—
874C23×C7C22×D412yes—
875C23×C7C2511yescharacteristic
876C22×D7—21no—
877C22×D7—21no—
878C22×D7—21no—
879C22×D7—21no—
880C22×D7—21no—
881C22×D7—21no—
882C22×D7—21no—
883C22×D7—21no—
884C22×D7—21no—
885C22×D7—21no—
886C22×D7—21no—
887C22×D7—21no—
888C22×D7—21no—
889C22×D7—21no—
890C22×D7—21no—
891C22×D7—21no—
892C22×D7—28no—
893C22×D7—28no—
894C22×D7—21no—
895C22×D7—21no—
896C22×D7—21no—
897C22×D7—21no—
898C22×D7—21no—
899C22×D7—21no—
900C22×D7—21no—
901C22×D7—21no—
902C22×D7—21no—
903C22×D7—21no—
904C22×D7—21no—
905C22×D7—21no—
906C22×D7—21no—
907C22×D7—21no—
908C22×D7—44no—
909C22×D7—44no—
910C22×D7—44no—
911C22×D7—44no—
912C22×D7—44no—
913C22×D7—44no—
914C22×D7—44no—
915C22×D7—44no—
916C22×D7—44no—
917C22×D7—44no—
918C22×D7—44no—
919C22×D7—82no—
920C22×D7—82no—
921C22×D7—82no—
922C22×D7—82no—
923C22×D7—82no—
924C22×D7—82no—
925C22×D7—82no—
926C22×D7—82no—
927C22×D7C22×D412yes—
928C22×D7C22×D412yes—
929C22×D7C22×D412yes—
930C22×D7H(5,𝔽2)12yes—
931C22×D7H(5,𝔽2)12yes—
932C7×D4—44no—
933C7×D4—44no—
934C7×D4—44no—
935C7×D4—82no—
936C7×D4—82no—
937C7×D4—82no—
938C2×C4×C7—21no—
939C2×C4×C7—21no—
940C2×C4×C7—21no—
941C2×C4×C7—21no—
942C2×C4×C7—21no—
943C2×C4×C7—21no—
944C2×C4×C7—21no—
945C2×C4×C7—21no—
946C2×C4×C7—21no—
947C2×C4×C7—21no—
948C2×C4×C7—21no—
949C2×C4×C7—21no—
950C2×C4×C7—21no—
951C2×C4×C7—21no—
952C2×C4×C7—21no—
953C2×C4×C7—21no—
954C2×C4×C7—21no—
955C2×C4×C7—21no—
956C2×C4×C7—21no—
957C2×C4×C7—21no—
958C2×C4×C7—21no—
959C2×C4×C7—21no—
960C2×C4×C7—21no—
961C2×C4×C7—21no—
962C2×C4×C7—21no—
963C2×C4×C7—21no—
964C2×C4×C7—21no—
965C2×C4×C7—21no—
966C2×C4×C7—21no—
967C2×C4×C7—21no—
968C2×C4×C7—21no—
969C2×C4×C7—44no—
970C2×C4×C7—44no—
971C2×C4×C7—82no—
972C2×C4×C7C22×D412yes—
973C2×C4×C7H(5,𝔽2)12yes—
974C22⋊D7—44no—
975C22⋊D7—44no—
976C22⋊D7—44no—
977C22⋊D7—44no—
978C22⋊D7—44no—
979C22⋊D7—44no—
980C22⋊D7—44no—
981C22⋊D7—44no—
982C22⋊D7—82no—
983C22⋊D7—82no—
984C22⋊D7—82no—
985C22⋊D7—82no—
986C22⋊D7—82no—
987C22⋊D7—82no—
988C2×Dic7—21no—
989C2×Dic7—21no—
990C2×Dic7—21no—
991C2×Dic7—21no—
992C2×Dic7—21no—
993C2×Dic7—21no—
994C2×Dic7—21no—
995C2×Dic7—21no—
996C2×Dic7—21no—
997C2×Dic7—21no—
998C2×Dic7—21no—
999C2×Dic7—21no—
1000C2×Dic7—21no—
1001C2×Dic7—21no—
1002C2×Dic7—21no—
1003C2×Dic7—21no—
1004C2×Dic7—21no—
1005C2×Dic7—21no—
1006C2×Dic7—21no—
1007C2×Dic7—21no—
1008C2×Dic7—21no—
1009C2×Dic7—21no—
1010C2×Dic7—21no—
1011C2×Dic7—21no—
1012C2×Dic7—21no—
1013C2×Dic7—21no—
1014C2×Dic7—21no—
1015C2×Dic7—21no—
1016C2×Dic7—21no—
1017C2×Dic7—21no—
1018C2×Dic7—21no—
1019C2×Dic7—44no—
1020C2×Dic7—82no—
1021C2×Dic7C22×D412yes—
1022C2×Dic7H(5,𝔽2)12yes—
1023D28—44no—
1024D28—44no—
1025D28—44no—
1026D28—44no—
1027D28—82no—
1028D28—82no—
1029D28—82no—
1030C4×D7—28no—
1031C4×D7—28no—
1032C4×D7—44no—
1033C4×D7—44no—
1034C4×D7—44no—
1035C4×D7—44no—
1036C4×D7—44no—
1037C4×D7—82no—
1038C4×D7—82no—
1039Dic14—44no—
1040C25—71no—
1041C25—71no—
1042C25—71no—
1043C2×#41—144no—
1044C2×#41—282no—
1045C2×#41—282no—
1046C22×Q8—71no—
1047C22×D4—71no—
1048C22×D4—71no—
1049C22×D4—78no—
1050C22×D4—71no—
1051C22×D4—71no—
1052C22×D4—71no—
1053C22×D4—71no—
1054C22×D4—71no—
1055C22×D4—71no—
1056C22×D4—71no—
1057C22×D4—71no—
1058C22×D4—71no—
1059C22×D4—71no—
1060C22×D4—71no—
1061C22×D4—71no—
1062C22×D4—71no—
1063C22×D4—71no—
1064C22×D4—71no—
1065C22×D4—71no—
1066C22×D4—71no—
1067C22×D4—71no—
1068C22×D4—71no—
1069C22×D4—144no—
1070C22×D4—144no—
1071C22×D4—282no—
1072C22×D4—282no—
1073C22×D4—282no—
1074C22×D4—282no—
1075C22×D4—282no—
1076C22×D4—282no—
1077C22×D4C22×D711yescharacteristic
1078C22×D4C22×D711yescharacteristic
1079C22×D4C22×D711yescharacteristic
1080C22×D4C22×D711yescharacteristic
1081C22×D4C22×D711yescharacteristic
1082C22×D4C22×D711yescharacteristic
1083C23×C4—71no—
1084C23×C4—71no—
1085C23×C4—71no—
1086C23×C4—71no—
1087C23×C4—71no—
1088C23×C4—71no—
1089C23×C4—71no—
1090C23×C4—71no—
1091C23×C4—71no—
1092C23×C4—71no—
1093C23×C4—71no—
1094C23×C4—144no—
1095C23×C4—282no—
1096C23×C4—282no—
1097C23×C4C22×D711yescharacteristic
1098C23×C4C22×D711yescharacteristic
1099C23×C4C22×D711yescharacteristic
1100#127—144no—
1101#127—144no—
1102#124—144no—
1103#124—144no—
1104#123—282no—
1105#123—282no—
1106#123—282no—
1107#123—282no—
1108#123—282no—
1109#123—282no—
1110#121—24no—
1111#121—24no—
1112#121—144no—
1113#121—144no—
1114#121—144no—
1115#121—144no—
1116#121—144no—
1117#121—144no—
1118#121—144no—
1119#121—144no—
1120#121—144no—
1121#121—144no—
1122#121—282no—
1123#121—282no—
1124#121—282no—
1125#121—282no—
1126#120—144no—
1127#120—144no—
1128#120—144no—
1129#120—144no—
1130#120—282no—
1131#120—282no—
1132#117—144no—
1133C2×C4⋊C4—71no—
1134C2×C4⋊C4—71no—
1135C2×C4⋊C4—71no—
1136C2×C4⋊C4—71no—
1137C2×C4⋊C4—71no—
1138C2×C4⋊C4—71no—
1139C2×C4⋊C4—71no—
1140C2×C4⋊C4—71no—
1141C2×C4⋊C4—71no—
1142C2×C4⋊C4—71no—
1143C2×C4⋊C4—71no—
1144C2×C4⋊C4—71no—
1145C2×C4⋊C4—71no—
1146C2×C4⋊C4—71no—
1147C2×C4⋊C4—71no—
1148C2×C4⋊C4—144no—
1149C2×C4⋊C4C22×D711yescharacteristic
1150C2×C4⋊C4C22×D711yescharacteristic
1151C2×C4⋊C4C22×D711yescharacteristic
1152C2×C22⋊C4—71no—
1153C2×C22⋊C4—71no—
1154C2×C22⋊C4—71no—
1155C2×C22⋊C4—71no—
1156C2×C22⋊C4—71no—
1157C2×C22⋊C4—71no—
1158C2×C22⋊C4—71no—
1159C2×C22⋊C4—71no—
1160C2×C22⋊C4—71no—
1161C2×C22⋊C4—71no—
1162C2×C22⋊C4—71no—
1163C2×C22⋊C4—71no—
1164C2×C22⋊C4—71no—
1165C2×C22⋊C4—71no—
1166C2×C22⋊C4—71no—
1167C2×C22⋊C4—71no—
1168C2×C22⋊C4—71no—
1169C2×C22⋊C4—71no—
1170C2×C22⋊C4—71no—
1171C2×C22⋊C4—71no—
1172C2×C22⋊C4—71no—
1173C2×C22⋊C4—71no—
1174C2×C22⋊C4—71no—
1175C2×C22⋊C4—71no—
1176C2×C22⋊C4—71no—
1177C2×C22⋊C4—71no—
1178C2×C22⋊C4—71no—
1179C2×C22⋊C4—71no—
1180C2×C22⋊C4—71no—
1181C2×C22⋊C4—71no—
1182C2×C22⋊C4—71no—
1183C2×C22⋊C4—71no—
1184C2×C22⋊C4—71no—
1185C2×C22⋊C4—71no—
1186C2×C22⋊C4—71no—
1187C2×C22⋊C4—71no—
1188C2×C22⋊C4—71no—
1189C2×C22⋊C4—71no—
1190C2×C22⋊C4—71no—
1191C2×C22⋊C4—71no—
1192C2×C22⋊C4—71no—
1193C2×C22⋊C4—71no—
1194C2×C22⋊C4—71no—
1195C2×C22⋊C4—71no—
1196C2×C22⋊C4—71no—
1197C2×C22⋊C4—144no—
1198C2×C22⋊C4—144no—
1199C2×C22⋊C4—282no—
1200C2×C22⋊C4—282no—
1201C2×C22⋊C4C22×D711yescharacteristic
1202C2×C22⋊C4C22×D711yescharacteristic
1203C2×C22⋊C4C22×D711yescharacteristic
1204C2×C22⋊C4C22×D711yescharacteristic
1205C2×C22⋊C4C22×D711yescharacteristic
1206C2×C22⋊C4C22×D711yescharacteristic
1207C2×C22⋊C4C22×D711yescharacteristic
1208C2×C22⋊C4C22×D711yescharacteristic
1209C2×C22⋊C4C22×D711yescharacteristic
1210C2×C22⋊C4C22×D711yescharacteristic
1211C2×C22⋊C4C22×D711yescharacteristic
1212C2×C22⋊C4C22×D711yescharacteristic
1213C2×C22⋊C4C22×D711yescharacteristic
1214C2×C42—71no—
1215C2×C42—71no—
1216#95—71no—
1217#95—71no—
1218#95—71no—
1219#95—71no—
1220#95—71no—
1221#95—71no—
1222#95—71no—
1223#95—71no—
1224#95—71no—
1225#95—71no—
1226#95—71no—
1227#95—71no—
1228#95—71no—
1229#95—71no—
1230#95—71no—
1231#95—71no—
1232#95—71no—
1233#95—71no—
1234#95—71no—
1235#95—71no—
1236#95—71no—
1237#95—71no—
1238#95C22×D711yescharacteristic
1239#95C22×D711yescharacteristic
1240#95C22×D711yescharacteristic
1241#95C22×D711yescharacteristic
1242#95C22×D711yescharacteristic
1243#95C22×D711yescharacteristic
1244#95C22×D711yescharacteristic
1245#95C22×D711yescharacteristic
1246#95C22×D711yescharacteristic
1247#95C22×D711yescharacteristic
1248C22×C7—22no—
1249C22×C7—22no—
1250C22×C7—22no—
1251C22×C7—22no—
1252C22×C7—22no—
1253C22×C7—22no—
1254C22×C7—41no—
1255C22×C7—41no—
1256C22×C7—41no—
1257C22×C7—41no—
1258C22×C7—41no—
1259C22×C7—41no—
1260C22×C7—41no—
1261C22×C7—41no—
1262C22×C7—41no—
1263C22×C7—41no—
1264C22×C7—41no—
1265C22×C7—41no—
1266C22×C7—41no—
1267C22×C7—41no—
1268C22×C7—41no—
1269C22×C7—41no—
1270C22×C7—41no—
1271C22×C7—41no—
1272C22×C7—41no—
1273C22×C7—41no—
1274C22×C7—41no—
1275C22×C7—41no—
1276C22×C7C23×D411yescharacteristic
1277C22×C7C2×H(5,𝔽2)11yescharacteristic
1278C22×C7C2×H(5,𝔽2)11yescharacteristic
1279C22×C7C2×H(5,𝔽2)11yescharacteristic
1280C22×C7C2×H(5,𝔽2)11yescharacteristic
1281C22×C7#58511yescharacteristic
1282C22×C7#58511yescharacteristic
1283C2×D7—22no—
1284C2×D7—22no—
1285C2×D7—22no—
1286C2×D7—22no—
1287C2×D7—22no—
1288C2×D7—22no—
1289C2×D7—22no—
1290C2×D7—22no—
1291C2×D7—22no—
1292C2×D7—22no—
1293C2×D7—22no—
1294C2×D7—22no—
1295C2×D7—416no—
1296C2×D7—41no—
1297C2×D7—41no—
1298C2×D7—41no—
1299C2×D7—41no—
1300C2×D7—41no—
1301C2×D7—41no—
1302C2×D7—41no—
1303C2×D7—41no—
1304C2×D7—41no—
1305C2×D7—41no—
1306C2×D7—41no—
1307C2×D7—41no—
1308C2×D7—41no—
1309C2×D7—41no—
1310C2×D7—41no—
1311C2×D7—41no—
1312C2×D7—41no—
1313C2×D7—41no—
1314C2×D7—41no—
1315C2×D7—41no—
1316C2×D7—41no—
1317C2×D7—41no—
1318C2×D7—88no—
1319C2×D7—88no—
1320C2×D7#53414yes—
1321C4×C7—22no—
1322C4×C7—22no—
1323C4×C7—41no—
1324C4×C7—41no—
1325C4×C7—41no—
1326C4×C7—41no—
1327C4×C7—41no—
1328C4×C7—41no—
1329C4×C7—41no—
1330C4×C7—41no—
1331C4×C7—41no—
1332Dic7—22no—
1333Dic7—22no—
1334Dic7—41no—
1335Dic7—41no—
1336Dic7—41no—
1337Dic7—41no—
1338Dic7—41no—
1339Dic7—41no—
1340Dic7—41no—
1341Dic7—41no—
1342Dic7—41no—
1343C24—71no—
1344C24—71no—
1345C24—71no—
1346C24—74no—
1347C24—74no—
1348C24—71no—
1349C24—71no—
1350C24—142no—
1351C24—142no—
1352C24—142no—
1353C24—142no—
1354C24—142no—
1355C24—142no—
1356C24—142no—
1357C24—281no—
1358C24—281no—
1359C24—281no—
1360C24—281no—
1361C24—281no—
1362C24—281no—
1363C24—281no—
1364C24—281no—
1365C24—281no—
1366C24—281no—
1367C24—281no—
1368C24—281no—
1369C24C23×D711yescharacteristic
1370C24C23×D711yescharacteristic
1371C24C23×D711yescharacteristic
1372C24C23×D711yescharacteristic
1373#41—2816no—
1374C2×Q8—142no—
1375C2×Q8—281no—
1376C2×Q8—281no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—74no—
1395C2×D4—74no—
1396C2×D4—74no—
1397C2×D4—142no—
1398C2×D4—142no—
1399C2×D4—142no—
1400C2×D4—142no—
1401C2×D4—142no—
1402C2×D4—142no—
1403C2×D4—142no—
1404C2×D4—142no—
1405C2×D4—142no—
1406C2×D4—142no—
1407C2×D4—142no—
1408C2×D4—142no—
1409C2×D4—142no—
1410C2×D4—142no—
1411C2×D4—142no—
1412C2×D4—142no—
1413C2×D4—142no—
1414C2×D4—142no—
1415C2×D4—142no—
1416C2×D4—142no—
1417C2×D4—142no—
1418C2×D4—142no—
1419C2×D4—281no—
1420C2×D4—281no—
1421C2×D4—281no—
1422C2×D4—281no—
1423C2×D4—281no—
1424C2×D4—281no—
1425C2×D4—281no—
1426C2×D4—281no—
1427C2×D4—281no—
1428C2×D4—281no—
1429C2×D4—281no—
1430C2×D4—281no—
1431C2×D4—2816no—
1432C2×D4—2816no—
1433C2×D4—281no—
1434C2×D4—281no—
1435C2×D4—281no—
1436C2×D4—281no—
1437C2×D4—281no—
1438C2×D4—281no—
1439C2×D4—281no—
1440C2×D4—281no—
1441C2×D4—281no—
1442C2×D4—281no—
1443C2×D4—281no—
1444C2×D4—281no—
1445C2×D4—281no—
1446C2×D4—281no—
1447C2×D4—281no—
1448C2×D4—281no—
1449C2×D4—281no—
1450C2×D4—281no—
1451C2×D4—281no—
1452C2×D4—281no—
1453C2×D4—281no—
1454C2×D4—281no—
1455C2×D4—281no—
1456C2×D4—281no—
1457C2×D4—281no—
1458C2×D4—281no—
1459C2×D4—2816no—
1460C2×D4D4×D714yes—
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—71no—
1471C22×C4—71no—
1472C22×C4—74no—
1473C22×C4—71no—
1474C22×C4—71no—
1475C22×C4—71no—
1476C22×C4—71no—
1477C22×C4—71no—
1478C22×C4—71no—
1479C22×C4—71no—
1480C22×C4—71no—
1481C22×C4—71no—
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—142no—
1496C22×C4—142no—
1497C22×C4—142no—
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—2816no—
1511C22×C4—281no—
1512C22×C4—281no—
1513C22×C4—281no—
1514C22×C4—281no—
1515C22×C4C23×D711yescharacteristic
1516C22×C4C23×D711yescharacteristic
1517C22×C4C23×D711yescharacteristic
1518C22×C4C23×D711yescharacteristic
1519C22×C4C23×D711yescharacteristic
1520C22×C4C23×D711yescharacteristic
1521C22×C4C23×D711yescharacteristic
1522C22×C4C23×D711yescharacteristic
1523C22×C4C23×D711yescharacteristic
1524C22×C4C23×D711yescharacteristic
1525C22×C4C23×D711yescharacteristic
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—41no—
1529C4⋊C4—142no—
1530C4⋊C4—142no—
1531C4⋊C4—142no—
1532C4⋊C4—142no—
1533C4⋊C4—142no—
1534C4⋊C4—142no—
1535C4⋊C4—142no—
1536C4⋊C4—142no—
1537C4⋊C4—281no—
1538C4⋊C4—281no—
1539C4⋊C4—281no—
1540C4⋊C4—281no—
1541C4⋊C4—281no—
1542C4⋊C4—281no—
1543C4⋊C4—281no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—142no—
1558C22⋊C4—142no—
1559C22⋊C4—142no—
1560C22⋊C4—142no—
1561C22⋊C4—142no—
1562C22⋊C4—142no—
1563C22⋊C4—142no—
1564C22⋊C4—142no—
1565C22⋊C4—142no—
1566C22⋊C4—142no—
1567C22⋊C4—142no—
1568C22⋊C4—142no—
1569C22⋊C4—142no—
1570C22⋊C4—142no—
1571C22⋊C4—142no—
1572C22⋊C4—142no—
1573C22⋊C4—142no—
1574C22⋊C4—142no—
1575C22⋊C4—142no—
1576C22⋊C4—142no—
1577C22⋊C4—142no—
1578C22⋊C4—281no—
1579C22⋊C4—281no—
1580C22⋊C4—281no—
1581C22⋊C4—281no—
1582C22⋊C4—281no—
1583C22⋊C4—281no—
1584C22⋊C4—281no—
1585C22⋊C4—281no—
1586C22⋊C4—281no—
1587C22⋊C4—281no—
1588C22⋊C4—281no—
1589C22⋊C4—281no—
1590C22⋊C4—281no—
1591C22⋊C4—281no—
1592C22⋊C4—281no—
1593C22⋊C4—281no—
1594C22⋊C4—281no—
1595C22⋊C4—281no—
1596C22⋊C4—281no—
1597C22⋊C4—281no—
1598C22⋊C4—281no—
1599C22⋊C4—281no—
1600C22⋊C4—281no—
1601C22⋊C4—281no—
1602C42—142no—
1603C42—142no—
1604C2×C7—42no—
1605C2×C7—42no—
1606C2×C7—81no—
1607C2×C7—81no—
1608C2×C7C2×#53411yescharacteristic
1609C2×C7#348411yescharacteristic
1610C2×C7#348511yescharacteristic
1611C2×C7#354211yescharacteristic
1612C2×C7#354211yescharacteristic
1613C2×C7#354211yescharacteristic
1614C2×C7#354211yescharacteristic
1615D7—24no—
1616D7—42no—
1617D7—42no—
1618D7—81no—
1619D7—81no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—72no—
1647C23—72no—
1648C23—72no—
1649C23—72no—
1650C23—72no—
1651C23—148no—
1652C23—148no—
1653C23—141no—
1654C23—141no—
1655C23—141no—
1656C23—141no—
1657C23—141no—
1658C23—141no—
1659C23—141no—
1660C23—141no—
1661C23—141no—
1662C23—141no—
1663C23—141no—
1664C23—141no—
1665C23—141no—
1666C23—141no—
1667C23—141no—
1668C23—141no—
1669C23—141no—
1670C23—141no—
1671C23—141no—
1672C23—141no—
1673C23—141no—
1674C23—141no—
1675C23—141no—
1676C23—141no—
1677C23—141no—
1678C23—141no—
1679C23—141no—
1680C23—141no—
1681C23—141no—
1682C23—141no—
1683C23—284no—
1684C23—284no—
1685C23—284no—
1686C23—284no—
1687C23—284no—
1688C23—284no—
1689C23—284no—
1690C23—284no—
1691C23—284no—
1692C23—284no—
1693C23—284no—
1694C23—562no—
1695C23—562no—
1696C23—562no—
1697C23—562no—
1698C23—562no—
1699C23—562no—
1700C23—562no—
1701C23—562no—
1702C23C2×D4×D712yes—
1703C23C2×D4×D712yes—
1704C23C24×D711yescharacteristic
1705Q8—284no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—82no—
1710D4—82no—
1711D4—82no—
1712D4—284no—
1713D4—284no—
1714D4—284no—
1715D4—284no—
1716D4—284no—
1717D4—284no—
1718D4—284no—
1719D4—284no—
1720D4—284no—
1721D4—284no—
1722D4—284no—
1723D4—284no—
1724D4—562no—
1725D4—562no—
1726D4—562no—
1727D4—562no—
1728D4—562no—
1729D4—562no—
1730D4—562no—
1731D4—562no—
1732D4—562no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—72no—
1767C2×C4—72no—
1768C2×C4—82no—
1769C2×C4—148no—
1770C2×C4—148no—
1771C2×C4—141no—
1772C2×C4—141no—
1773C2×C4—141no—
1774C2×C4—141no—
1775C2×C4—141no—
1776C2×C4—141no—
1777C2×C4—141no—
1778C2×C4—141no—
1779C2×C4—141no—
1780C2×C4—141no—
1781C2×C4—141no—
1782C2×C4—141no—
1783C2×C4—141no—
1784C2×C4—141no—
1785C2×C4—141no—
1786C2×C4—141no—
1787C2×C4—141no—
1788C2×C4—141no—
1789C2×C4—141no—
1790C2×C4—141no—
1791C2×C4—141no—
1792C2×C4—141no—
1793C2×C4—141no—
1794C2×C4—141no—
1795C2×C4—141no—
1796C2×C4—141no—
1797C2×C4—141no—
1798C2×C4—141no—
1799C2×C4—141no—
1800C2×C4—141no—
1801C2×C4—141no—
1802C2×C4—284no—
1803C2×C4—284no—
1804C2×C4—284no—
1805C2×C4—284no—
1806C2×C4—284no—
1807C2×C4—284no—
1808C2×C4—562no—
1809C2×C4—562no—
1810C2×C4—562no—
1811C2×C4C2×D4×D712yes—
1812C2×C4#655312yes—
1813C7#3670411yescharacteristic, complemented, Sylow
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—74no—
1843C22—142no—
1844C22—142no—
1845C22—142no—
1846C22—142no—
1847C22—142no—
1848C22—142no—
1849C22—142no—
1850C22—142no—
1851C22—142no—
1852C22—142no—
1853C22—142no—
1854C22—142no—
1855C22—2816no—
1856C22—281no—
1857C22—281no—
1858C22—281no—
1859C22—281no—
1860C22—281no—
1861C22—281no—
1862C22—281no—
1863C22—281no—
1864C22—281no—
1865C22—281no—
1866C22—281no—
1867C22—281no—
1868C22—281no—
1869C22—281no—
1870C22—281no—
1871C22—281no—
1872C22—281no—
1873C22—281no—
1874C22—281no—
1875C22—281no—
1876C22—281no—
1877C22—281no—
1878C22—568no—
1879C22—568no—
1880C22C22×D4×D711yescharacteristic
1881C22C2×#655311yescharacteristic
1882C22#9061611yescharacteristic
1883C22D7×H(5,𝔽2)11yescharacteristic
1884C22D7×H(5,𝔽2)11yescharacteristic
1885C22D7×H(5,𝔽2)11yescharacteristic
1886C22#9061811yescharacteristic
1887C4—22no—
1888C4—22no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—142no—
1899C4—142no—
1900C4—281no—
1901C4—281no—
1902C4—281no—
1903C4—281no—
1904C4—281no—
1905C4—281no—
1906C4—281no—
1907C4—281no—
1908C4—281no—
1909C2—42no—
1910C2—42no—
1911C2—81no—
1912C2—81no—
1913C2—144no—
1914C2—282no—
1915C2—282no—
1916C2—561no—
1917C2—561no—
1918C2D7×#53411yescharacteristic
1919C2#1174346811yescharacteristic
1920C2#1174356011yescharacteristic
1921C2#1174373011yescharacteristic
1922C2#1174373111yescharacteristic
1923C2#1174396311yescharacteristic
1924C2#1174414211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2688C2
hypercenter#2688D7
hypocenterC7#36704
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. C2×#90298C2semidirect
2. C2×D7×#121C2semidirect
3. C7×#2688C2semidirect
4. #11740160C2semidirect
5. #11740134C2semidirect
6. #11735810C2semidirect
7. #11735790C2semidirect
8. #11735139C2semidirect
9. #11735137C2semidirect
10. #11735121C2semidirect
11. #11735113C2semidirect
12. #11734567C2semidirect
13. #11734453C2semidirect
14. #11734214C2semidirect
15. #11734205C2semidirect
16. #11734200C2semidirect
17. #11734157C2semidirect
18. #11732381C2semidirect
19. #11732365C2semidirect
20. #11732360C2semidirect
21. #11732358C2semidirect
22. #11732335C2semidirect
23. #11732333C2semidirect
24. #11732331C2semidirect
25. #11732319C2semidirect
26. #11732236C2semidirect
27. #11732235C2semidirect
28. #11732073C2semidirect
29. #11732045C2semidirect
30. #11731591C2semidirect
31. #11731583C2semidirect
38. C2×C7×#121C22semidirect
39. C2×#6503C22semidirect
40. C2×#6503C22semidirect
43. C2×#6502C22semidirect
45. C2×#6501C22semidirect
46. C2×#6501C22semidirect
51. C2×#6493C22semidirect
52. C2×#6493C22semidirect
53. C2×#6492C22semidirect
58. C2×#6458C22semidirect
62. C2×#6449C22semidirect
63. C2×#6448C22semidirect
64. C2×#6448C22semidirect
67. C2×#6447C22semidirect
69. C2×#6446C22semidirect
70. C2×#6446C22semidirect
77. C7×#400C22semidirect
78. C7×#397C22semidirect
79. C7×#397C22semidirect
80. C7×#394C22semidirect
81. C7×#392C22semidirect
82. C7×#392C22semidirect
83. C7×#386C22semidirect
84. C7×#386C22semidirect
85. C7×#386C22semidirect
86. C7×#386C22semidirect
87. C7×#386C22semidirect
88. C7×#385C22semidirect
89. C7×#381C22semidirect
90. #89995C22semidirect
91. #89995C22semidirect
92. #89995C22semidirect
93. #89995C22semidirect
94. #89995C22semidirect
95. #89994C22semidirect
96. #89994C22semidirect
97. #89992C22semidirect
98. #89992C22semidirect
99. #89992C22semidirect
100. #89985C22semidirect
101. #89985C22semidirect
102. #89984C22semidirect
103. #89982C22semidirect
104. #89982C22semidirect
105. #89765C22semidirect
106. #89763C22semidirect
107. #89761C22semidirect
108. #89759C22semidirect
109. #89755C22semidirect
110. #89754C22semidirect
111. #89751C22semidirect
112. #89733C22semidirect
113. #89733C22semidirect
114. #89733C22semidirect
115. #89733C22semidirect
116. #89733C22semidirect
117. #89733C22semidirect
118. #89733C22semidirect
119. #89732C22semidirect
120. #89732C22semidirect
121. #89732C22semidirect
122. #89732C22semidirect
123. #89732C22semidirect
124. #89731C22semidirect
125. #89731C22semidirect
126. #89731C22semidirect
127. #89731C22semidirect
128. #89731C22semidirect
129. #89730C22semidirect
130. #89730C22semidirect
133. #89728C22semidirect
134. #89728C22semidirect
135. #89728C22semidirect
136. #89728C22semidirect
141. #89724C22semidirect
142. #89723C22semidirect
143. #89723C22semidirect
144. #89722C22semidirect
145. #89721C22semidirect
146. #89719C22semidirect
147. #89715C22semidirect
148. #89714C22semidirect
149. #89449C22semidirect
150. #89447C22semidirect
151. #89446C22semidirect
152. #89445C22semidirect
153. #89444C22semidirect
154. #89444C22semidirect
155. #89443C22semidirect
156. #89443C22semidirect
157. #89441C22semidirect
158. #89441C22semidirect
163. #89440C22semidirect
164. #89440C22semidirect
165. #89440C22semidirect
166. #89439C22semidirect
169. #89437C22semidirect
170. #89437C22semidirect
171. #89437C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
181. #89436C22semidirect
182. #89436C22semidirect
183. #89433C22semidirect
184. #89428C22semidirect
185. #89427C22semidirect
186. #89427C22semidirect
187. #89426C22semidirect
188. #89426C22semidirect
226. C2×D4×D7D4semidirect
405. #2688D7semidirect
722. C2×#121C2×D7semidirect
736. #400C2×D7semidirect
745. #397C2×D7semidirect
746. #397C2×D7semidirect
766. #394C2×D7semidirect
781. #392C2×D7semidirect
782. #392C2×D7semidirect
814. #386C2×D7semidirect
815. #386C2×D7semidirect
816. #386C2×D7semidirect
817. #386C2×D7semidirect
818. #386C2×D7semidirect
830. #385C2×D7semidirect
838. #381C2×D7semidirect
1813. C7#36704semidirect

Maximal subgroups

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

subgroupindex
C2×#902982
C2×D7×#1212
C7×#26882
#117401602
#117401342
#117358102
#117357902
#117351392
#117351372
#117351212
#117351132
#117345672
#117344532
#117342142
#117342052
#117342002
#117341572
#117323812
#117323652
#117323602
#117323582
#117323352
#117323332
#117323312
#117323192
#117322362
#117322352
#117320732
#117320452
#117315912
#117315832
#367047