Finite Group Databasebeta

← #13526454

Subgroups — #13526454

Order 1792.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90284C211yesmaximal, characteristic, complemented
2C2×C4×D4×D7C211yesmaximal, characteristic, complemented
3C7×#2418C211yesmaximal, characteristic, complemented
4#11740357C211yesmaximal, characteristic, complemented
5#11740344C211yesmaximal, characteristic, complemented
6#11740049C211yesmaximal, characteristic, complemented
7#11739802C211yesmaximal, characteristic, complemented
8C2×#89728C211yesmaximal, characteristic, complemented
9#11739554C211yesmaximal, characteristic, complemented
10#11735548C211yesmaximal, characteristic, complemented
11#11735498C211yesmaximal, characteristic, complemented
12#11734987C211yesmaximal, characteristic, complemented
13#11734928C211yesmaximal, characteristic, complemented
14#11734558C211yesmaximal, characteristic, complemented
15#11734424C211yesmaximal, characteristic, complemented
16#11734420C211yesmaximal, characteristic, complemented
17#11734371C211yesmaximal, characteristic, complemented
18#11733403C211yesmaximal, characteristic, complemented
19#11733402C211yesmaximal, characteristic, complemented
20#11732962C211yesmaximal, characteristic, complemented
21#11732949C211yesmaximal, characteristic, complemented
22#11732380C211yesmaximal, characteristic, complemented
23#11732333C211yesmaximal, characteristic, complemented
24#11732162C211yesmaximal, characteristic, complemented
25#11732108C211yesmaximal, characteristic, complemented
26#11731868C211yesmaximal, characteristic, complemented
27#11731824C211yesmaximal, characteristic, complemented
28#11731341C211yesmaximal, characteristic, complemented
29#11731318C211yesmaximal, characteristic, complemented
30#11731299C211yesmaximal, characteristic, complemented
31#11731266C211yesmaximal, characteristic, complemented
32C23×C22⋊D7C2211yescharacteristic
33C22×D4×D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C23×C4×D7C2211yescharacteristic, complemented
36C2×C7×#123C2211yescharacteristic, complemented
37C2×C7×#120C2211yescharacteristic
38C2×C4×C7×D4C2211yescharacteristic
39C22×C7×C22⋊C4C2211yescharacteristic, complemented
40C2×#6516C2211yescharacteristic
41C2×#6516C2211yescharacteristic, complemented
42C22×C22⋊Dic7C2211yescharacteristic, complemented
43C2×#6502C2211yescharacteristic
44C2×#6502C2211yescharacteristic, complemented
45C2×#6501C2211yescharacteristic, complemented
46C2×#6500C2211yescharacteristic
47C2×#6500C2211yescharacteristic
48C2×#6499C2211yescharacteristic, complemented
49C2×#6498C2211yescharacteristic, complemented
50C2×D4×Dic7C2211yescharacteristic
51C2×#6493C2211yescharacteristic
52C2×C4×C22⋊D7C2211yescharacteristic
53C2×C4×C22⋊D7C2211yescharacteristic, complemented
54C22×(C2×D7)⋊C4C2211yescharacteristic
55#90284—28no—
56C4×D4×D7—28no—
57C2×#6459C2211yescharacteristic, complemented
58C2×#6456C2211yescharacteristic, complemented
59C2×#6456C2211yescharacteristic, complemented
60C2×#6456C2211yescharacteristic, complemented
61C2×D7×C4⋊C4C2211yescharacteristic, complemented
62C2×#6448C2211yescharacteristic, complemented
63C2×#6447C2211yescharacteristic
64C2×#6447C2211yescharacteristic
65C2×#6447C2211yescharacteristic, complemented
66C2×#6446C2211yescharacteristic, complemented
67C2×#6445C2211yescharacteristic
68C2×#6445C2211yescharacteristic, complemented
69C2×(C22⋊D7)⋊C4C2211yescharacteristic
70C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
71C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
72C2×D7×C22⋊C4C2211yescharacteristic
73C2×D7×C22⋊C4C2211yescharacteristic, complemented
74C2×#6442C2211yescharacteristic, complemented
75C2×#6442C2211yescharacteristic, complemented
76C2×#6441C2211yescharacteristic, complemented
77C2×C4×D28C2211yescharacteristic, complemented
78C2×C42×D7C2211yescharacteristic, complemented
79C7×#399C2211yescharacteristic, complemented
80C7×#397C2211yescharacteristic, complemented
81C7×#394C2211yescharacteristic, complemented
82C7×#394C2211yescharacteristic, complemented
83C7×#388C2211yescharacteristic, complemented
84C7×#388C2211yescharacteristic, complemented
85C7×#386C2211yescharacteristic
86C7×#386C2211yescharacteristic, complemented
87C7×#385C2211yescharacteristic, complemented
88C7×#380C2211yescharacteristic, complemented
89C7×#379C2211yescharacteristic, complemented
90#89995C2211yescharacteristic
91#89995C2211yescharacteristic
92#89992C2211yescharacteristic
93#89985C2211yescharacteristic, complemented
94#89985C2211yescharacteristic, complemented
95#89983C2211yescharacteristic, complemented
96#89982C2211yescharacteristic, complemented
97C2×C7⋊#95C2211yescharacteristic, complemented
98C2×C7⋊#95C2211yescharacteristic, complemented
99#89766C2211yescharacteristic, complemented
100#89766C2211yescharacteristic, complemented
101#89765C2211yescharacteristic, complemented
102#89764C2211yescharacteristic, complemented
103#89762C2211yescharacteristic, complemented
104#89762C2211yescharacteristic, complemented
105#89761C2211yescharacteristic, complemented
106#89761C2211yescharacteristic, complemented
107#89761C2211yescharacteristic, complemented
108#89761C2211yescharacteristic, complemented
109#89761C2211yescharacteristic, complemented
110#89761C2211yescharacteristic, complemented
111#89754C2211yescharacteristic, complemented
112#89753C2211yescharacteristic, complemented
113#89752C2211yescharacteristic, complemented
114#89733C2211yescharacteristic, complemented
115#89732C2211yescharacteristic
116#89732C2211yescharacteristic
117#89732C2211yescharacteristic, complemented
118#89732C2211yescharacteristic, complemented
119#89732C2211yescharacteristic, complemented
120#89732C2211yescharacteristic, complemented
121#89731C2211yescharacteristic, complemented
122#89731C2211yescharacteristic, complemented
123#89731C2211yescharacteristic, complemented
124#89731C2211yescharacteristic, complemented
125#89731C2211yescharacteristic, complemented
126#89730C2211yescharacteristic
127#89730C2211yescharacteristic
128#89730C2211yescharacteristic, complemented
129#89729C2211yescharacteristic, complemented
130#89729C2211yescharacteristic, complemented
131#89729C2211yescharacteristic, complemented
132#89728C2211yescharacteristic
133#89728C2211yescharacteristic
134#89728C2211yescharacteristic
135#89728C2211yescharacteristic
136#89728C2211yescharacteristic
137#89728C2211yescharacteristic
138#89728C2211yescharacteristic
139#89728C2211yescharacteristic
140#89728C2211yescharacteristic, complemented
141#89728C2211yescharacteristic, complemented
142#89728C2211yescharacteristic, complemented
143#89728C2211yescharacteristic, complemented
144#89728C2211yescharacteristic, complemented
145#89728C2211yescharacteristic, complemented
146#89728C2211yescharacteristic, complemented
147#89727C2211yescharacteristic
148#89727C2211yescharacteristic, complemented
149#89724C2211yescharacteristic, complemented
150#89723C2211yescharacteristic, complemented
151#89720C2211yescharacteristic, complemented
152#89718C2211yescharacteristic, complemented
153#89718C2211yescharacteristic, complemented
154#89717C2211yescharacteristic, complemented
155#89717C2211yescharacteristic, complemented
156#89717C2211yescharacteristic, complemented
157#89716C2211yescharacteristic, complemented
158#89716C2211yescharacteristic, complemented
159#89716C2211yescharacteristic, complemented
160#89715C2211yescharacteristic, complemented
161#89714C2211yescharacteristic, complemented
162C22⋊C4×Dic7C2211yescharacteristic, complemented
163#89712C2211yescharacteristic, complemented
164#89705C2211yescharacteristic, complemented
165#89448C2211yescharacteristic, complemented
166#89445C2211yescharacteristic, complemented
167#89445C2211yescharacteristic, complemented
168#89444C2211yescharacteristic, complemented
169#89443C2211yescharacteristic, complemented
170#89440C2211yescharacteristic, complemented
171#89440C2211yescharacteristic, complemented
172#89439C2211yescharacteristic, complemented
173#89439C2211yescharacteristic, complemented
174#89438C2211yescharacteristic, complemented
175#89438C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178#89437C2211yescharacteristic, complemented
179#89437C2211yescharacteristic, complemented
180#89437C2211yescharacteristic, complemented
181#89430C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89426C2211yescharacteristic, complemented
184#89426C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#89422C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#34990—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C24×D7C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C22×C22⋊D7—24no—
200C22×C22⋊D7—42no—
201C22×C22⋊D7—42no—
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C2×D4×D7—24no—
219C2×D4×D7—24no—
220C2×D4×D7—24no—
221C22×D28C2311yescharacteristic
222C22×D28C2311yescharacteristic
223C22×D28C2311yescharacteristic
224C22×D28C2311yescharacteristic
225C22×C4×D7—24no—
226C22×C4×D7—24no—
227C22×C4×D7—42no—
228C22×C4×D7—42no—
229C22×C4×D7—42no—
230C22×C4×D7—42no—
231C22×C4×D7C2311yescharacteristic
232C22×C4×D7C2311yescharacteristic
233C22×C4×D7C2311yescharacteristic
234C22×C4×D7C2311yescharacteristic
235C22×C4×D7C2311yescharacteristic
236C22×C4×D7C2311yescharacteristic
237C22×C4×D7C2311yescharacteristic
238C22×C4×D7C2311yescharacteristic
239C22×C4×D7C2311yescharacteristic
240C22×C4×D7C2311yescharacteristic
241C22×Dic14C2311yescharacteristic
242C7×#123—42no—
243C7×#120—24no—
244C4×C7×D4—24no—
245C2×C7×C4⋊C4C2311yescharacteristic
246C2×C7×C4⋊C4C2311yescharacteristic
247C2×C7×C4⋊C4C2311yescharacteristic
248C2×C7×C4⋊C4C2311yescharacteristic
249C2×C7×C4⋊C4C2311yescharacteristic
250C2×C7×C22⋊C4—42no—
251C2×C7×C22⋊C4C2311yescharacteristic
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C7×C22⋊C4C2311yescharacteristic
254C2×C7×C22⋊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×C42×C7C2311yescharacteristic
268#6516—24no—
269#6516—24no—
270C2×C22⋊Dic7—24no—
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
281C2×C22⋊Dic7C2311yescharacteristic
282C2×C22⋊Dic7C2311yescharacteristic
283C2×C22⋊Dic7C2311yescharacteristic
284C2×C22⋊Dic7C2311yescharacteristic
285#6502—24no—
286#6502—24no—
287#6501—24no—
288#6500—42no—
289#6500—42no—
290#6499—24no—
291#6498—24no—
292D4×Dic7D418yescomplemented
293#6493—24no—
294C4×C22⋊D7—24no—
295C4×C22⋊D7—24no—
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×C4⋊Dic7C2311yescharacteristic
324C2×C4⋊Dic7C2311yescharacteristic
325C2×C4⋊Dic7C2311yescharacteristic
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#6459—42no—
345#6456—24no—
346#6456—42no—
347#6456—42no—
348D7×C4⋊C4—24no—
349#6448—24no—
350#6447—42no—
351#6447—42no—
352#6447—42no—
353#6446—24no—
354#6445—24no—
355#6445—42no—
356(C22⋊D7)⋊C4—24no—
357(C22⋊D7)⋊C4—24no—
358(C22⋊D7)⋊C4—24no—
359D7×C22⋊C4—24no—
360D7×C22⋊C4—24no—
361#6442—24no—
362#6442—24no—
363#6441—24no—
364C4×D28—24no—
365C42×D7—24no—
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×#538—71no—
399C22×C4×D4—71no—
400#2852—71no—
401#2850—71no—
402#2849—71no—
403#2847—71no—
404#2636—71no—
405#2635—71no—
406#2631—71no—
407#2630—71no—
408#2481—71no—
409#2472—71no—
410#2467—71no—
411#2459—71no—
412#2456—71no—
413#2456—71no—
414#2450—71no—
415#2444—71no—
416#2443—71no—
417#2437—71no—
418#2424—71no—
419#2424—71no—
420#2418D711yescharacteristic, complemented
421#2410—71no—
422#2410—71no—
423#2403—71no—
424#2325—71no—
425#2321—71no—
426#2318—71no—
427C4×#120—71no—
428C2×#386—71no—
429C24×C7—22no—
430C24×C7—22no—
431C24×C7—22no—
432C24×C7—41no—
433C24×C7—41no—
434C24×C7—41no—
435C24×C7—41no—
436C24×C7C2411yescharacteristic
437C24×C7C2411yescharacteristic
438C24×C7C2411yescharacteristic
439C24×C7C2411yescharacteristic
440C23×D7—22no—
441C23×D7—22no—
442C23×D7—22no—
443C23×D7—22no—
444C23×D7—22no—
445C23×D7—22no—
446C23×D7—22no—
447C23×D7—22no—
448C23×D7—22no—
449C23×D7—41no—
450C23×D7—41no—
451C23×D7—41no—
452C23×D7—41no—
453C23×D7#4114yes—
454C23×D7C2411yescharacteristic
455C23×D7C2411yescharacteristic
456C23×D7C2411yescharacteristic
457C23×D7C2411yescharacteristic
458C2×C7×D4—22no—
459C2×C7×D4—22no—
460C2×C7×D4—22no—
461C2×C7×D4—22no—
462C2×C7×D4—41no—
463C2×C7×D4—41no—
464C2×C7×D4—41no—
465C2×C7×D4—41no—
466C2×C7×D4C2×D414yes—
467C22×C4×C7—22no—
468C22×C4×C7—22no—
469C22×C4×C7—22no—
470C22×C4×C7—22no—
471C22×C4×C7—22no—
472C22×C4×C7—41no—
473C22×C4×C7—41no—
474C22×C4×C7—41no—
475C22×C4×C7—41no—
476C22×C4×C7C2411yescharacteristic
477C22×C4×C7C2411yescharacteristic
478C22×C4×C7C2411yescharacteristic
479C22×C4×C7C2411yescharacteristic
480C22×C4×C7C2411yescharacteristic
481C22×C4×C7C2411yescharacteristic
482C22×C4×C7C2411yescharacteristic
483C22×C4×C7C2411yescharacteristic
484C22×C4×C7C2411yescharacteristic
485C22×C4×C7C2411yescharacteristic
486C22×C4×C7C2411yescharacteristic
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—22no—
495C2×C22⋊D7—22no—
496C2×C22⋊D7—22no—
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—41no—
509C2×C22⋊D7—41no—
510C2×C22⋊D7—41no—
511C2×C22⋊D7—41no—
512C2×C22⋊D7—41no—
513C2×C22⋊D7—41no—
514C2×C22⋊D7—41no—
515C2×C22⋊D7—41no—
516C2×C22⋊D7—41no—
517C2×C22⋊D7—41no—
518C2×C22⋊D7—41no—
519C2×C22⋊D7—41no—
520C2×C22⋊D7—41no—
521C2×C22⋊D7—41no—
522C2×C22⋊D7—416no—
523C2×C22⋊D7#4114yes—
524C22×Dic7—22no—
525C22×Dic7—22no—
526C22×Dic7—41no—
527C22×Dic7—41no—
528C22×Dic7—41no—
529C22×Dic7—41no—
530C22×Dic7—41no—
531C22×Dic7—41no—
532C22×Dic7—41no—
533C22×Dic7—41no—
534C22×Dic7C2×D414yes—
535C22×Dic7C2×D414yescomplemented
536C22×Dic7C2411yescharacteristic
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545C22×Dic7C2411yescharacteristic
546C22×Dic7C2411yescharacteristic
547C22×Dic7C2411yescharacteristic
548D4×D7—232no—
549C2×D28—22no—
550C2×D28—22no—
551C2×D28—22no—
552C2×D28—22no—
553C2×D28—22no—
554C2×D28—22no—
555C2×D28—22no—
556C2×D28—22no—
557C2×D28—41no—
558C2×D28—41no—
559C2×D28—41no—
560C2×D28—41no—
561C2×C4×D7—22no—
562C2×C4×D7—22no—
563C2×C4×D7—22no—
564C2×C4×D7—22no—
565C2×C4×D7—22no—
566C2×C4×D7—22no—
567C2×C4×D7—22no—
568C2×C4×D7—22no—
569C2×C4×D7—22no—
570C2×C4×D7—22no—
571C2×C4×D7—22no—
572C2×C4×D7—22no—
573C2×C4×D7—22no—
574C2×C4×D7—22no—
575C2×C4×D7—22no—
576C2×C4×D7—22no—
577C2×C4×D7—22no—
578C2×C4×D7—22no—
579C2×C4×D7—22no—
580C2×C4×D7—416no—
581C2×C4×D7—416no—
582C2×C4×D7—41no—
583C2×C4×D7—41no—
584C2×C4×D7—41no—
585C2×C4×D7—41no—
586C2×C4×D7—41no—
587C2×C4×D7—41no—
588C2×C4×D7—41no—
589C2×C4×D7—41no—
590C2×C4×D7—41no—
591C2×C4×D7—41no—
592C2×C4×D7—41no—
593C2×Dic14—22no—
594C2×Dic14—41no—
595C2×Dic14—41no—
596C7×C4⋊C4—22no—
597C7×C4⋊C4—22no—
598C7×C4⋊C4—41no—
599C7×C4⋊C4—41no—
600C7×C4⋊C4—41no—
601C7×C22⋊C4—22no—
602C7×C22⋊C4—22no—
603C7×C22⋊C4—22no—
604C7×C22⋊C4—22no—
605C7×C22⋊C4—22no—
606C7×C22⋊C4—22no—
607C7×C22⋊C4—22no—
608C7×C22⋊C4—22no—
609C7×C22⋊C4—41no—
610C7×C22⋊C4—41no—
611C7×C22⋊C4—41no—
612C7×C22⋊C4—41no—
613C7×C22⋊C4—41no—
614C7×C22⋊C4—41no—
615C7×C22⋊C4—41no—
616C7×C22⋊C4—41no—
617C42×C7—22no—
618C22⋊Dic7—22no—
619C22⋊Dic7—22no—
620C22⋊Dic7—22no—
621C22⋊Dic7—22no—
622C22⋊Dic7—22no—
623C22⋊Dic7—22no—
624C22⋊Dic7—22no—
625C22⋊Dic7—22no—
626C22⋊Dic7—22no—
627C22⋊Dic7—22no—
628C22⋊Dic7—41no—
629C22⋊Dic7—41no—
630C22⋊Dic7C2×D414yes—
631C22⋊Dic7C2×D414yescomplemented
632(C2×D7)⋊C4—22no—
633(C2×D7)⋊C4—22no—
634(C2×D7)⋊C4—22no—
635(C2×D7)⋊C4—22no—
636(C2×D7)⋊C4—22no—
637(C2×D7)⋊C4—22no—
638(C2×D7)⋊C4—22no—
639(C2×D7)⋊C4—22no—
640(C2×D7)⋊C4—22no—
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—41no—
648(C2×D7)⋊C4—41no—
649(C2×D7)⋊C4—41no—
650(C2×D7)⋊C4—41no—
651(C2×D7)⋊C4—41no—
652(C2×D7)⋊C4—41no—
653(C2×D7)⋊C4—41no—
654(C2×D7)⋊C4—41no—
655(C2×D7)⋊C4—41no—
656(C2×D7)⋊C4—41no—
657(C2×D7)⋊C4—41no—
658C4⋊Dic7—22no—
659C4⋊Dic7—22no—
660C4⋊Dic7C2×D414yescomplemented
661Dic7⋊C4—22no—
662Dic7⋊C4—22no—
663Dic7⋊C4—22no—
664Dic7⋊C4—22no—
665Dic7⋊C4—22no—
666Dic7⋊C4—22no—
667Dic7⋊C4—41no—
668Dic7⋊C4—41no—
669Dic7⋊C4—41no—
670Dic7⋊C4—41no—
671Dic7⋊C4—41no—
672Dic7⋊C4—41no—
673C4×Dic7—22no—
674C4×Dic7—22no—
675C4×Dic7—22no—
676C4×Dic7—41no—
677C4×Dic7—41no—
678C4×Dic7C2×D414yescomplemented
679C23×D4—71no—
680C23×D4—71no—
681C24×C4—71no—
682C24×C4—71no—
683#538—148no—
684C2×#126—71no—
685C2×#126—71no—
686C2×#124—71no—
687C2×#124—71no—
688C2×#123—71no—
689C2×#123—71no—
690C2×#123C2×D711yescharacteristic, complemented
691C2×C22⋊Q8—71no—
692C2×C22⋊Q8—71no—
693C2×#121—71no—
694C2×#121—71no—
695C2×#121—71no—
696C2×#121—71no—
697C2×#121—71no—
698C2×#121—71no—
699C2×#121—71no—
700C2×#120—71no—
701C2×#120—71no—
702C2×#120—71no—
703C2×#120—71no—
704C2×#120—71no—
705C2×#120—71no—
706C2×#120C2×D711yescharacteristic
707C2×C4×D4—71no—
708C2×C4×D4—71no—
709C2×C4×D4—71no—
710C2×C4×D4—71no—
711C2×C4×D4—71no—
712C2×C4×D4—71no—
713C2×C4×D4—71no—
714C2×C4×D4—71no—
715C2×C4×D4—71no—
716C2×C4×D4—71no—
717C2×C4×D4—148no—
718C2×C4×D4C2×D711yescharacteristic
719C22×C4⋊C4—71no—
720C22×C22⋊C4—71no—
721C22×C22⋊C4—71no—
722C22×C22⋊C4—71no—
723C22×C22⋊C4—71no—
724C22×C22⋊C4C2×D711yescharacteristic, complemented
725C22×C42—71no—
726#400—71no—
727#400—71no—
728#399—71no—
729#399C2×D711yescharacteristic, complemented
730#398—71no—
731#397—71no—
732#397—71no—
733#397C2×D711yescharacteristic, complemented
734#396—71no—
735#396—71no—
736#396—71no—
737#396—71no—
738#394—71no—
739#394—71no—
740#394—71no—
741#394—71no—
742#394—71no—
743#394—71no—
744#394—71no—
745#394C2×D711yescharacteristic, complemented
746#394C2×D711yescharacteristic, complemented
747#393—71no—
748#393—71no—
749#392—71no—
750#392—71no—
751#392—71no—
752#392—71no—
753#392—71no—
754#392—71no—
755#392—71no—
756#392—71no—
757#392—71no—
758#391—71no—
759#390—71no—
760#390—71no—
761#390—71no—
762#388—71no—
763#388—71no—
764#388—71no—
765#388—71no—
766#388—71no—
767#388—71no—
768#388—71no—
769#388—71no—
770#388—71no—
771#388—71no—
772#388C2×D711yescharacteristic, complemented
773#388C2×D711yescharacteristic, complemented
774#387—71no—
775#387—71no—
776#387—71no—
777#387—71no—
778#387—71no—
779#387—71no—
780#386—71no—
781#386—71no—
782#386—71no—
783#386—71no—
784#386—71no—
785#386—71no—
786#386—71no—
787#386—71no—
788#386—71no—
789#386—71no—
790#386—71no—
791#386—71no—
792#386—71no—
793#386—71no—
794#386—71no—
795#386—71no—
796#386—71no—
797#386—71no—
798#386—71no—
799#386—71no—
800#386—71no—
801#386—71no—
802#386—71no—
803#386—71no—
804#386—71no—
805#386—71no—
806#386C2×D711yescharacteristic
807#386C2×D711yescharacteristic, complemented
808#385—71no—
809#385—71no—
810#385—71no—
811#385—71no—
812#385—71no—
813#385—71no—
814#385—71no—
815#385—71no—
816#385—71no—
817#385—71no—
818#385—71no—
819#385C2×D711yescharacteristic, complemented
820#383—71no—
821#382—71no—
822#381—71no—
823#381—71no—
824#380—71no—
825#380—71no—
826#380—71no—
827#380C2×D711yescharacteristic, complemented
828#379—71no—
829#379—71no—
830#379C2×D711yescharacteristic, complemented
831C4×C22⋊C4—71no—
832C4×C22⋊C4—71no—
833C4×C22⋊C4—71no—
834C2×#95—71no—
835C2×#95—71no—
836C23×C7—21no—
837C23×C7—21no—
838C23×C7—21no—
839C23×C7—21no—
840C23×C7—21no—
841C23×C7—21no—
842C23×C7—21no—
843C23×C7—21no—
844C23×C7—21no—
845C23×C7—21no—
846C23×C7—21no—
847C23×C7—21no—
848C23×C7—21no—
849C23×C7—21no—
850C23×C7—21no—
851C23×C7—21no—
852C23×C7—21no—
853C23×C7—21no—
854C23×C7—21no—
855C23×C7—21no—
856C23×C7—21no—
857C23×C7—21no—
858C23×C7—21no—
859C23×C7—21no—
860C23×C7—44no—
861C23×C7—44no—
862C23×C7—44no—
863C23×C7—82no—
864C23×C7—82no—
865C23×C7—82no—
866C23×C7—82no—
867C23×C7C22×D412yes—
868C23×C7C22×D412yes—
869C23×C7C2×#4112yes—
870C23×C7C2×#4112yes—
871C23×C7C2511yescharacteristic
872C22×D7—21no—
873C22×D7—21no—
874C22×D7—21no—
875C22×D7—21no—
876C22×D7—28no—
877C22×D7—28no—
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—28no—
891C22×D7—21no—
892C22×D7—21no—
893C22×D7—21no—
894C22×D7—21no—
895C22×D7—21no—
896C22×D7—21no—
897C22×D7—21no—
898C22×D7—44no—
899C22×D7—44no—
900C22×D7—44no—
901C22×D7—44no—
902C22×D7—44no—
903C22×D7—44no—
904C22×D7—44no—
905C22×D7—44no—
906C22×D7—44no—
907C22×D7—44no—
908C22×D7—44no—
909C22×D7C2×#4112yes—
910C22×D7C2×#4112yes—
911C22×D7C2×#4112yes—
912C22×D7H(5,𝔽2)12yes—
913C22×D7H(5,𝔽2)12yes—
914C7×D4—28no—
915C7×D4—82no—
916C7×D4—82no—
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—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—21no—
932C2×C4×C7—21no—
933C2×C4×C7—21no—
934C2×C4×C7—21no—
935C2×C4×C7—21no—
936C2×C4×C7—21no—
937C2×C4×C7—21no—
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—44no—
949C2×C4×C7—44no—
950C2×C4×C7—82no—
951C2×C4×C7C22×D412yes—
952C2×C4×C7H(5,𝔽2)12yes—
953C22⋊D7—28no—
954C22⋊D7—28no—
955C22⋊D7—44no—
956C22⋊D7—44no—
957C22⋊D7—44no—
958C22⋊D7—44no—
959C22⋊D7—44no—
960C22⋊D7—82no—
961C22⋊D7—82no—
962C22⋊D7—82no—
963C22⋊D7—82no—
964C22⋊D7—82no—
965C2×Dic7—21no—
966C2×Dic7—21no—
967C2×Dic7—21no—
968C2×Dic7—21no—
969C2×Dic7—21no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—21no—
973C2×Dic7—21no—
974C2×Dic7—21no—
975C2×Dic7—21no—
976C2×Dic7—21no—
977C2×Dic7—21no—
978C2×Dic7—21no—
979C2×Dic7—21no—
980C2×Dic7—21no—
981C2×Dic7—21no—
982C2×Dic7—21no—
983C2×Dic7—21no—
984C2×Dic7—21no—
985C2×Dic7—21no—
986C2×Dic7—21no—
987C2×Dic7—21no—
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—44no—
997C2×Dic7—44no—
998C2×Dic7—44no—
999C2×Dic7—82no—
1000C2×Dic7C22×D412yes—
1001C2×Dic7C22×D412yes—
1002C2×Dic7C22×D412yes—
1003C2×Dic7C22×D412yes—
1004C2×Dic7C2×#4112yes—
1005D28—28no—
1006D28—44no—
1007D28—44no—
1008D28—82no—
1009C4×D7—28no—
1010C4×D7—28no—
1011C4×D7—44no—
1012C4×D7—44no—
1013C4×D7—44no—
1014C4×D7—44no—
1015C4×D7—44no—
1016C4×D7—44no—
1017C4×D7—44no—
1018C4×D7—82no—
1019Dic14—82no—
1020C25—71no—
1021C25—71no—
1022C25C22×D711yescharacteristic
1023C22×Q8—71no—
1024C22×D4—71no—
1025C22×D4—71no—
1026C22×D4—71no—
1027C22×D4—71no—
1028C22×D4—71no—
1029C22×D4—71no—
1030C22×D4—71no—
1031C22×D4—71no—
1032C22×D4—71no—
1033C22×D4—71no—
1034C22×D4—71no—
1035C22×D4—71no—
1036C22×D4—71no—
1037C22×D4—71no—
1038C22×D4—71no—
1039C22×D4—71no—
1040C22×D4—144no—
1041C22×D4—144no—
1042C22×D4—144no—
1043C22×D4—144no—
1044C22×D4—282no—
1045C22×D4—282no—
1046C22×D4C22×D711yescharacteristic
1047C22×D4C22×D711yescharacteristic
1048C22×D4C22×D711yescharacteristic
1049C23×C4—71no—
1050C23×C4—71no—
1051C23×C4—71no—
1052C23×C4—71no—
1053C23×C4—71no—
1054C23×C4—71no—
1055C23×C4—71no—
1056C23×C4—71no—
1057C23×C4—71no—
1058C23×C4—71no—
1059C23×C4—71no—
1060C23×C4—71no—
1061C23×C4—71no—
1062C23×C4—71no—
1063C23×C4—144no—
1064C23×C4—144no—
1065C23×C4—282no—
1066C23×C4—282no—
1067C23×C4—282no—
1068C23×C4—282no—
1069C23×C4C22×D711yescharacteristic
1070C23×C4C22×D711yescharacteristic
1071C23×C4C22×D711yescharacteristic
1072#126—144no—
1073#126—144no—
1074#124—144no—
1075#124—144no—
1076#123—42no—
1077#123—144no—
1078#123—144no—
1079C22⋊Q8—144no—
1080C22⋊Q8—282no—
1081#121—144no—
1082#121—144no—
1083#121—144no—
1084#121—144no—
1085#121—282no—
1086#121—282no—
1087#121—282no—
1088#120—24no—
1089#120—144no—
1090#120—144no—
1091#120—144no—
1092#120—282no—
1093#120—282no—
1094#120—282no—
1095C4×D4—24no—
1096C4×D4—78no—
1097C4×D4—144no—
1098C4×D4—144no—
1099C4×D4—144no—
1100C4×D4—144no—
1101C4×D4—144no—
1102C4×D4—144no—
1103C4×D4—144no—
1104C4×D4—282no—
1105C4×D4—282no—
1106C2×C4⋊C4—71no—
1107C2×C4⋊C4—71no—
1108C2×C4⋊C4—71no—
1109C2×C4⋊C4—71no—
1110C2×C4⋊C4—71no—
1111C2×C4⋊C4—71no—
1112C2×C4⋊C4—71no—
1113C2×C4⋊C4—71no—
1114C2×C4⋊C4—71no—
1115C2×C4⋊C4—71no—
1116C2×C4⋊C4—71no—
1117C2×C4⋊C4—71no—
1118C2×C4⋊C4—71no—
1119C2×C4⋊C4—71no—
1120C2×C4⋊C4—71no—
1121C2×C4⋊C4—144no—
1122C2×C4⋊C4C22×D711yescharacteristic
1123C2×C4⋊C4C22×D711yescharacteristic
1124C2×C4⋊C4C22×D711yescharacteristic
1125C2×C4⋊C4C22×D711yescharacteristic
1126C2×C4⋊C4C22×D711yescharacteristic
1127C2×C22⋊C4—42no—
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—71no—
1147C2×C22⋊C4—71no—
1148C2×C22⋊C4—71no—
1149C2×C22⋊C4—71no—
1150C2×C22⋊C4—71no—
1151C2×C22⋊C4—71no—
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—144no—
1169C2×C22⋊C4—144no—
1170C2×C22⋊C4—144no—
1171C2×C22⋊C4—282no—
1172C2×C22⋊C4C22×D711yescharacteristic
1173C2×C22⋊C4C22×D711yescharacteristic
1174C2×C22⋊C4C22×D711yescharacteristic
1175C2×C22⋊C4C22×D711yescharacteristic
1176C2×C22⋊C4C22×D711yescharacteristic
1177C2×C22⋊C4C22×D711yescharacteristic
1178C2×C22⋊C4C22×D711yescharacteristic
1179C2×C22⋊C4C22×D711yescharacteristic
1180C2×C22⋊C4C22×D711yescharacteristic
1181C2×C22⋊C4C22×D711yescharacteristic
1182C2×C22⋊C4C22×D711yescharacteristic
1183C2×C22⋊C4C22×D711yescharacteristic
1184C2×C22⋊C4C22×D711yescharacteristic
1185C2×C22⋊C4C22×D711yescharacteristic
1186C2×C22⋊C4C22×D711yescharacteristic
1187C2×C22⋊C4C22×D711yescharacteristic
1188C2×C42—71no—
1189C2×C42—71no—
1190C2×C42—71no—
1191C2×C42—71no—
1192C2×C42—71no—
1193C2×C42—71no—
1194C2×C42—144no—
1195C2×C42C22×D711yescharacteristic
1196#95—71no—
1197#95—71no—
1198#95—71no—
1199#95—71no—
1200#95—71no—
1201#95—71no—
1202#95—71no—
1203#95—71no—
1204#95—71no—
1205#95—71no—
1206#95—71no—
1207#95—71no—
1208#95—71no—
1209#95—71no—
1210#95—71no—
1211#95—71no—
1212#95—71no—
1213#95—71no—
1214#95—71no—
1215#95—71no—
1216#95—71no—
1217#95—71no—
1218#95—71no—
1219#95—71no—
1220#95—71no—
1221#95—71no—
1222#95C22×D711yescharacteristic
1223#95C22×D711yescharacteristic
1224#95C22×D711yescharacteristic
1225#95C22×D711yescharacteristic
1226#95C22×D711yescharacteristic
1227#95C22×D711yescharacteristic
1228C22×C7—22no—
1229C22×C7—22no—
1230C22×C7—22no—
1231C22×C7—22no—
1232C22×C7—22no—
1233C22×C7—22no—
1234C22×C7—22no—
1235C22×C7—22no—
1236C22×C7—22no—
1237C22×C7—41no—
1238C22×C7—41no—
1239C22×C7—41no—
1240C22×C7—41no—
1241C22×C7—41no—
1242C22×C7—41no—
1243C22×C7—41no—
1244C22×C7—41no—
1245C22×C7—41no—
1246C22×C7—41no—
1247C22×C7—41no—
1248C22×C7—41no—
1249C22×C7—41no—
1250C22×C7—41no—
1251C22×C7—41no—
1252C22×C7—41no—
1253C22×C7—41no—
1254C22×C7—41no—
1255C22×C7—88no—
1256C22×C7#52514yes—
1257C22×C7C23×D411yescharacteristic
1258C22×C7C22×#4111yescharacteristic
1259C22×C7C22×#4111yescharacteristic
1260C22×C7C2×H(5,𝔽2)11yescharacteristic
1261C22×C7C2×H(5,𝔽2)11yescharacteristic
1262C22×C7C2×H(5,𝔽2)11yescharacteristic
1263C22×C7#58511yescharacteristic
1264C2×D7—22no—
1265C2×D7—22no—
1266C2×D7—22no—
1267C2×D7—22no—
1268C2×D7—22no—
1269C2×D7—22no—
1270C2×D7—22no—
1271C2×D7—22no—
1272C2×D7—22no—
1273C2×D7—22no—
1274C2×D7—22no—
1275C2×D7—22no—
1276C2×D7—416no—
1277C2×D7—416no—
1278C2×D7—41no—
1279C2×D7—41no—
1280C2×D7—41no—
1281C2×D7—41no—
1282C2×D7—41no—
1283C2×D7—41no—
1284C2×D7—41no—
1285C2×D7—41no—
1286C2×D7—41no—
1287C2×D7—41no—
1288C2×D7—41no—
1289C2×D7—41no—
1290C2×D7—41no—
1291C2×D7—41no—
1292C2×D7—41no—
1293C2×D7#53814yescomplemented
1294C4×C7—22no—
1295C4×C7—22no—
1296C4×C7—41no—
1297C4×C7—41no—
1298C4×C7—41no—
1299C4×C7—41no—
1300C4×C7—41no—
1301C4×C7—41no—
1302C4×C7—41no—
1303C4×C7—41no—
1304C4×C7—41no—
1305Dic7—22no—
1306Dic7—22no—
1307Dic7—22no—
1308Dic7—22no—
1309Dic7—22no—
1310Dic7—41no—
1311Dic7—41no—
1312Dic7—41no—
1313Dic7—41no—
1314Dic7—41no—
1315Dic7—41no—
1316Dic7—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—41no—
1321C24—41no—
1322C24—41no—
1323C24—41no—
1324C24—71no—
1325C24—71no—
1326C24—71no—
1327C24—74no—
1328C24—71no—
1329C24—142no—
1330C24—142no—
1331C24—142no—
1332C24—142no—
1333C24—142no—
1334C24—142no—
1335C24—142no—
1336C24—142no—
1337C24—142no—
1338C24—281no—
1339C24—281no—
1340C24—281no—
1341C24—281no—
1342C24C23×D711yescharacteristic
1343C24C23×D711yescharacteristic
1344C24C23×D711yescharacteristic
1345C24C23×D711yescharacteristic
1346C2×Q8—142no—
1347C2×Q8—281no—
1348C2×Q8—281no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—74no—
1358C2×D4—142no—
1359C2×D4—142no—
1360C2×D4—142no—
1361C2×D4—142no—
1362C2×D4—142no—
1363C2×D4—142no—
1364C2×D4—142no—
1365C2×D4—142no—
1366C2×D4—142no—
1367C2×D4—142no—
1368C2×D4—1432no—
1369C2×D4—142no—
1370C2×D4—142no—
1371C2×D4—142no—
1372C2×D4—142no—
1373C2×D4—142no—
1374C2×D4—142no—
1375C2×D4—142no—
1376C2×D4—142no—
1377C2×D4—142no—
1378C2×D4—142no—
1379C2×D4—142no—
1380C2×D4—142no—
1381C2×D4—142no—
1382C2×D4—142no—
1383C2×D4—142no—
1384C2×D4—142no—
1385C2×D4—142no—
1386C2×D4—142no—
1387C2×D4—142no—
1388C2×D4—281no—
1389C2×D4—281no—
1390C2×D4—281no—
1391C2×D4—281no—
1392C2×D4—281no—
1393C2×D4—281no—
1394C2×D4—281no—
1395C2×D4—281no—
1396C2×D4—281no—
1397C2×D4—281no—
1398C2×D4—281no—
1399C2×D4—281no—
1400C2×D4—281no—
1401C2×D4—281no—
1402C2×D4—281no—
1403C2×D4—281no—
1404C2×D4—281no—
1405C2×D4—281no—
1406C2×D4—2816no—
1407C2×D4D4×D714yes—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—71no—
1418C22×C4—71no—
1419C22×C4—71no—
1420C22×C4—71no—
1421C22×C4—71no—
1422C22×C4—74no—
1423C22×C4—74no—
1424C22×C4—71no—
1425C22×C4—71no—
1426C22×C4—71no—
1427C22×C4—71no—
1428C22×C4—71no—
1429C22×C4—71no—
1430C22×C4—71no—
1431C22×C4—142no—
1432C22×C4—142no—
1433C22×C4—142no—
1434C22×C4—142no—
1435C22×C4—142no—
1436C22×C4—142no—
1437C22×C4—142no—
1438C22×C4—142no—
1439C22×C4—142no—
1440C22×C4—142no—
1441C22×C4—142no—
1442C22×C4—142no—
1443C22×C4—142no—
1444C22×C4—142no—
1445C22×C4—142no—
1446C22×C4—142no—
1447C22×C4—142no—
1448C22×C4—142no—
1449C22×C4—142no—
1450C22×C4—142no—
1451C22×C4—142no—
1452C22×C4—281no—
1453C22×C4—281no—
1454C22×C4—281no—
1455C22×C4—281no—
1456C22×C4—281no—
1457C22×C4—281no—
1458C22×C4—281no—
1459C22×C4—281no—
1460C22×C4—281no—
1461C22×C4—281no—
1462C22×C4—281no—
1463C22×C4—2816no—
1464C22×C4—2816no—
1465C22×C4—281no—
1466C22×C4—281no—
1467C22×C4—281no—
1468C22×C4—281no—
1469C22×C4—281no—
1470C22×C4—281no—
1471C22×C4—281no—
1472C22×C4—281no—
1473C22×C4C23×D711yescharacteristic
1474C22×C4C23×D711yescharacteristic
1475C22×C4C23×D711yescharacteristic
1476C22×C4C23×D711yescharacteristic
1477C22×C4C23×D711yescharacteristic
1478C22×C4C23×D711yescharacteristic
1479C22×C4C23×D711yescharacteristic
1480C22×C4C23×D711yescharacteristic
1481C22×C4C23×D711yescharacteristic
1482C22×C4C23×D711yescharacteristic
1483C22×C4C23×D711yescharacteristic
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—41no—
1489C4⋊C4—74no—
1490C4⋊C4—142no—
1491C4⋊C4—142no—
1492C4⋊C4—142no—
1493C4⋊C4—142no—
1494C4⋊C4—142no—
1495C4⋊C4—142no—
1496C4⋊C4—142no—
1497C4⋊C4—142no—
1498C4⋊C4—281no—
1499C4⋊C4—281no—
1500C4⋊C4—281no—
1501C4⋊C4—281no—
1502C4⋊C4—281no—
1503C4⋊C4—281no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—74no—
1521C22⋊C4—74no—
1522C22⋊C4—142no—
1523C22⋊C4—142no—
1524C22⋊C4—142no—
1525C22⋊C4—142no—
1526C22⋊C4—142no—
1527C22⋊C4—142no—
1528C22⋊C4—142no—
1529C22⋊C4—142no—
1530C22⋊C4—142no—
1531C22⋊C4—142no—
1532C22⋊C4—142no—
1533C22⋊C4—142no—
1534C22⋊C4—142no—
1535C22⋊C4—142no—
1536C22⋊C4—142no—
1537C22⋊C4—142no—
1538C22⋊C4—142no—
1539C22⋊C4—142no—
1540C22⋊C4—142no—
1541C22⋊C4—142no—
1542C22⋊C4—142no—
1543C22⋊C4—142no—
1544C22⋊C4—142no—
1545C22⋊C4—142no—
1546C22⋊C4—142no—
1547C22⋊C4—281no—
1548C22⋊C4—281no—
1549C22⋊C4—281no—
1550C22⋊C4—281no—
1551C22⋊C4—281no—
1552C22⋊C4—281no—
1553C22⋊C4—281no—
1554C22⋊C4—281no—
1555C22⋊C4—281no—
1556C22⋊C4—281no—
1557C22⋊C4—281no—
1558C22⋊C4—281no—
1559C22⋊C4—281no—
1560C42—22no—
1561C42—74no—
1562C42—142no—
1563C42—142no—
1564C42—142no—
1565C42—281no—
1566C42—281no—
1567C2×C7—24no—
1568C2×C7—42no—
1569C2×C7—81no—
1570C2×C7—81no—
1571C2×C7C2×#52511yescharacteristic
1572C2×C7C2×#53811yescharacteristic
1573C2×C7#345911yescharacteristic
1574C2×C7#348411yescharacteristic
1575C2×C7#348811yescharacteristic
1576C2×C7#351311yescharacteristic
1577C2×C7#351911yescharacteristic
1578D7—24no—
1579D7—42no—
1580D7—42no—
1581D7—81no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—72no—
1610C23—72no—
1611C23—72no—
1612C23—72no—
1613C23—72no—
1614C23—82no—
1615C23—82no—
1616C23—82no—
1617C23—82no—
1618C23—148no—
1619C23—148no—
1620C23—141no—
1621C23—141no—
1622C23—141no—
1623C23—141no—
1624C23—148no—
1625C23—141no—
1626C23—141no—
1627C23—141no—
1628C23—141no—
1629C23—141no—
1630C23—141no—
1631C23—141no—
1632C23—141no—
1633C23—141no—
1634C23—141no—
1635C23—141no—
1636C23—141no—
1637C23—141no—
1638C23—141no—
1639C23—141no—
1640C23—141no—
1641C23—141no—
1642C23—141no—
1643C23—141no—
1644C23—284no—
1645C23—284no—
1646C23—284no—
1647C23—284no—
1648C23—284no—
1649C23—284no—
1650C23—284no—
1651C23—284no—
1652C23—284no—
1653C23—284no—
1654C23—284no—
1655C23C2×D4×D712yes—
1656C23C2×D4×D712yes—
1657C23D7×#4112yes—
1658C23D7×#4112yes—
1659C23C24×D711yescharacteristic
1660Q8—562no—
1661D4—28no—
1662D4—82no—
1663D4—82no—
1664D4—148no—
1665D4—148no—
1666D4—148no—
1667D4—284no—
1668D4—284no—
1669D4—284no—
1670D4—284no—
1671D4—284no—
1672D4—284no—
1673D4—284no—
1674D4—562no—
1675D4—562no—
1676D4—562no—
1677D4—562no—
1678D4—562no—
1679D4—562no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—72no—
1714C2×C4—72no—
1715C2×C4—72no—
1716C2×C4—72no—
1717C2×C4—72no—
1718C2×C4—82no—
1719C2×C4—148no—
1720C2×C4—148no—
1721C2×C4—141no—
1722C2×C4—141no—
1723C2×C4—141no—
1724C2×C4—141no—
1725C2×C4—141no—
1726C2×C4—141no—
1727C2×C4—141no—
1728C2×C4—141no—
1729C2×C4—141no—
1730C2×C4—141no—
1731C2×C4—141no—
1732C2×C4—141no—
1733C2×C4—141no—
1734C2×C4—141no—
1735C2×C4—141no—
1736C2×C4—141no—
1737C2×C4—141no—
1738C2×C4—141no—
1739C2×C4—141no—
1740C2×C4—141no—
1741C2×C4—141no—
1742C2×C4—141no—
1743C2×C4—141no—
1744C2×C4—141no—
1745C2×C4—141no—
1746C2×C4—141no—
1747C2×C4—141no—
1748C2×C4—141no—
1749C2×C4—141no—
1750C2×C4—141no—
1751C2×C4—141no—
1752C2×C4—284no—
1753C2×C4—284no—
1754C2×C4—284no—
1755C2×C4—284no—
1756C2×C4—284no—
1757C2×C4—284no—
1758C2×C4—284no—
1759C2×C4—284no—
1760C2×C4—284no—
1761C2×C4—284no—
1762C2×C4—562no—
1763C2×C4—562no—
1764C2×C4C2×D4×D712yes—
1765C2×C4#654812yes—
1766C7#3499011yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—74no—
1795C22—88no—
1796C22—142no—
1797C22—142no—
1798C22—142no—
1799C22—142no—
1800C22—142no—
1801C22—142no—
1802C22—142no—
1803C22—142no—
1804C22—142no—
1805C22—142no—
1806C22—142no—
1807C22—142no—
1808C22—2816no—
1809C22—2816no—
1810C22—281no—
1811C22—281no—
1812C22—281no—
1813C22—281no—
1814C22—281no—
1815C22—281no—
1816C22—281no—
1817C22—281no—
1818C22—281no—
1819C22—281no—
1820C22—281no—
1821C22—281no—
1822C22—281no—
1823C22—281no—
1824C22—281no—
1825C22#9034714yes—
1826C22C22×D4×D711yescharacteristic
1827C22C2×#654811yescharacteristic
1828C22C2×D7×#4111yescharacteristic
1829C22C2×D7×#4111yescharacteristic
1830C22#9061611yescharacteristic
1831C22D7×H(5,𝔽2)11yescharacteristic
1832C22D7×H(5,𝔽2)11yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—142no—
1845C4—142no—
1846C4—142no—
1847C4—142no—
1848C4—142no—
1849C4—281no—
1850C4—281no—
1851C4—281no—
1852C4—281no—
1853C4—281no—
1854C4—281no—
1855C4—281no—
1856C2—24no—
1857C2—42no—
1858C2—81no—
1859C2—81no—
1860C2—144no—
1861C2—282no—
1862C2—282no—
1863C2—561no—
1864C2C2×#9034711yescharacteristic
1865C2#1174310411yescharacteristic
1866C2D7×#53811yescharacteristic
1867C2#1174368811yescharacteristic
1868C2#1174369711yescharacteristic
1869C2#1174370811yescharacteristic
1870C2#1174386411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2418C2
hypercenter#2418D7
hypocenterC7#34990
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#90284C2semidirect
2. C2×C4×D4×D7C2semidirect
3. C7×#2418C2semidirect
4. #11740357C2semidirect
5. #11740344C2semidirect
6. #11740049C2semidirect
7. #11739802C2semidirect
8. C2×#89728C2semidirect
9. #11739554C2semidirect
10. #11735548C2semidirect
11. #11735498C2semidirect
12. #11734987C2semidirect
13. #11734928C2semidirect
14. #11734558C2semidirect
15. #11734424C2semidirect
16. #11734420C2semidirect
17. #11734371C2semidirect
18. #11733403C2semidirect
19. #11733402C2semidirect
20. #11732962C2semidirect
21. #11732949C2semidirect
22. #11732380C2semidirect
23. #11732333C2semidirect
24. #11732162C2semidirect
25. #11732108C2semidirect
26. #11731868C2semidirect
27. #11731824C2semidirect
28. #11731341C2semidirect
29. #11731318C2semidirect
30. #11731299C2semidirect
31. #11731266C2semidirect
35. C23×C4×D7C22semidirect
36. C2×C7×#123C22semidirect
39. C22×C7×C22⋊C4C22semidirect
41. C2×#6516C22semidirect
42. C22×C22⋊Dic7C22semidirect
44. C2×#6502C22semidirect
45. C2×#6501C22semidirect
48. C2×#6499C22semidirect
49. C2×#6498C22semidirect
53. C2×C4×C22⋊D7C22semidirect
57. C2×#6459C22semidirect
58. C2×#6456C22semidirect
59. C2×#6456C22semidirect
60. C2×#6456C22semidirect
61. C2×D7×C4⋊C4C22semidirect
62. C2×#6448C22semidirect
65. C2×#6447C22semidirect
66. C2×#6446C22semidirect
68. C2×#6445C22semidirect
70. C2×(C22⋊D7)⋊C4C22semidirect
71. C2×(C22⋊D7)⋊C4C22semidirect
73. C2×D7×C22⋊C4C22semidirect
74. C2×#6442C22semidirect
75. C2×#6442C22semidirect
76. C2×#6441C22semidirect
77. C2×C4×D28C22semidirect
78. C2×C42×D7C22semidirect
79. C7×#399C22semidirect
80. C7×#397C22semidirect
81. C7×#394C22semidirect
82. C7×#394C22semidirect
83. C7×#388C22semidirect
84. C7×#388C22semidirect
86. C7×#386C22semidirect
87. C7×#385C22semidirect
88. C7×#380C22semidirect
89. C7×#379C22semidirect
93. #89985C22semidirect
94. #89985C22semidirect
95. #89983C22semidirect
96. #89982C22semidirect
97. C2×C7⋊#95C22semidirect
98. C2×C7⋊#95C22semidirect
99. #89766C22semidirect
100. #89766C22semidirect
101. #89765C22semidirect
102. #89764C22semidirect
103. #89762C22semidirect
104. #89762C22semidirect
105. #89761C22semidirect
106. #89761C22semidirect
107. #89761C22semidirect
108. #89761C22semidirect
109. #89761C22semidirect
110. #89761C22semidirect
111. #89754C22semidirect
112. #89753C22semidirect
113. #89752C22semidirect
114. #89733C22semidirect
117. #89732C22semidirect
118. #89732C22semidirect
119. #89732C22semidirect
120. #89732C22semidirect
121. #89731C22semidirect
122. #89731C22semidirect
123. #89731C22semidirect
124. #89731C22semidirect
125. #89731C22semidirect
128. #89730C22semidirect
129. #89729C22semidirect
130. #89729C22semidirect
131. #89729C22semidirect
140. #89728C22semidirect
141. #89728C22semidirect
142. #89728C22semidirect
143. #89728C22semidirect
144. #89728C22semidirect
145. #89728C22semidirect
146. #89728C22semidirect
148. #89727C22semidirect
149. #89724C22semidirect
150. #89723C22semidirect
151. #89720C22semidirect
152. #89718C22semidirect
153. #89718C22semidirect
154. #89717C22semidirect
155. #89717C22semidirect
156. #89717C22semidirect
157. #89716C22semidirect
158. #89716C22semidirect
159. #89716C22semidirect
160. #89715C22semidirect
161. #89714C22semidirect
162. C22⋊C4×Dic7C22semidirect
163. #89712C22semidirect
164. #89705C22semidirect
165. #89448C22semidirect
166. #89445C22semidirect
167. #89445C22semidirect
168. #89444C22semidirect
169. #89443C22semidirect
170. #89440C22semidirect
171. #89440C22semidirect
172. #89439C22semidirect
173. #89439C22semidirect
174. #89438C22semidirect
175. #89438C22semidirect
176. #89437C22semidirect
177. #89437C22semidirect
178. #89437C22semidirect
179. #89437C22semidirect
180. #89437C22semidirect
181. #89430C22semidirect
182. #89426C22semidirect
183. #89426C22semidirect
184. #89426C22semidirect
185. #89425C22semidirect
186. #89423C22semidirect
187. #89422C22semidirect
188. #89418C22semidirect
292. D4×Dic7D4semidirect
420. #2418D7semidirect
535. C22×Dic7C2×D4semidirect
631. C22⋊Dic7C2×D4semidirect
660. C4⋊Dic7C2×D4semidirect
678. C4×Dic7C2×D4semidirect
690. C2×#123C2×D7semidirect
724. C22×C22⋊C4C2×D7semidirect
729. #399C2×D7semidirect
733. #397C2×D7semidirect
745. #394C2×D7semidirect
746. #394C2×D7semidirect
772. #388C2×D7semidirect
773. #388C2×D7semidirect
807. #386C2×D7semidirect
819. #385C2×D7semidirect
827. #380C2×D7semidirect
830. #379C2×D7semidirect
1293. C2×D7#538semidirect
1766. C7#34990semidirect

Maximal subgroups

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

subgroupindex
C2×#902842
C2×C4×D4×D72
C7×#24182
#117403572
#117403442
#117400492
#117398022
C2×#897282
#117395542
#117355482
#117354982
#117349872
#117349282
#117345582
#117344242
#117344202
#117343712
#117334032
#117334022
#117329622
#117329492
#117323802
#117323332
#117321622
#117321082
#117318682
#117318242
#117313412
#117313182
#117312992
#117312662
#349907