Finite Group Databasebeta

← #13560883

Subgroups — #13560883

Order 1792.

2644 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90482C211yesmaximal, characteristic, complemented
2C2×#90304C211yesmaximal, characteristic, complemented
3C7×#2847C211yesmaximal, characteristic, complemented
4#11741478C211yesmaximal, characteristic, complemented
5#11740165C211yesmaximal, characteristic, complemented
6#11740159C211yesmaximal, characteristic, complemented
7#11740156C211yesmaximal, characteristic, complemented
8#11740131C211yesmaximal, characteristic, complemented
9#11740130C211yesmaximal, characteristic, complemented
10#11740055C211yesmaximal, characteristic, complemented
11#11740042C211yesmaximal, characteristic, complemented
12#11740040C211yesmaximal, characteristic, complemented
13#11740039C211yesmaximal, characteristic, complemented
14#11732362C211yesmaximal, characteristic, complemented
15#11732348C211yesmaximal, characteristic, complemented
16#11732346C211yesmaximal, characteristic, complemented
17#11732331C211yesmaximal, characteristic, complemented
18#11732256C211yesmaximal, characteristic, complemented
19#11732255C211yesmaximal, characteristic, complemented
20#11732239C211yesmaximal, characteristic, complemented
21#11732225C211yesmaximal, characteristic, complemented
22#11732223C211yesmaximal, characteristic, complemented
23#11732222C211yesmaximal, characteristic, complemented
24#11732198C211yesmaximal, characteristic, complemented
25#11732133C211yesmaximal, characteristic, complemented
26#11731483C211yesmaximal, characteristic, complemented
27#11731481C211yesmaximal, characteristic, complemented
28#11731479C211yesmaximal, characteristic, complemented
29#11731413C211yesmaximal, characteristic, complemented
30#11731410C211yesmaximal, characteristic, complemented
31#11731315C211yesmaximal, characteristic, complemented
32C24×C4×C7C2211yescharacteristic, complemented
33C22×#1157C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic
36C2×C7×#121C2211yescharacteristic
37C2×C7×#120C2211yescharacteristic
38C2×C7×#120C2211yescharacteristic, complemented
39C2×#6516C2211yescharacteristic
40C2×#6516C2211yescharacteristic
41C2×#6516C2211yescharacteristic, complemented
42C2×#6503C2211yescharacteristic
43C2×#6502C2211yescharacteristic
44C2×#6502C2211yescharacteristic, complemented
45C2×#6501C2211yescharacteristic
46C2×#6500C2211yescharacteristic
47C2×#6500C2211yescharacteristic
48C2×#6500C2211yescharacteristic
49C2×#6500C2211yescharacteristic, complemented
50C2×#6499C2211yescharacteristic
51C2×#6498C2211yescharacteristic, complemented
52#90482—28no—
53C2×#6493C2211yescharacteristic
54C2×#6493C2211yescharacteristic
55C2×#6492C2211yescharacteristic
56C2×#6492C2211yescharacteristic
57C2×#6492C2211yescharacteristic
58C2×#6492C2211yescharacteristic, complemented
59C2×C4×C22⋊D7C2211yescharacteristic
60C2×C4×C22⋊D7C2211yescharacteristic
61C2×C4×C22⋊D7C2211yescharacteristic, complemented
62C2×C4×C22⋊D7C2211yescharacteristic, complemented
63C2×#6489C2211yescharacteristic, complemented
64C2×#6487C2211yescharacteristic, complemented
65C2×#6487C2211yescharacteristic, complemented
66#90304—28no—
67C2×#6461C2211yescharacteristic, complemented
68C2×#6459C2211yescharacteristic, complemented
69C2×#6448C2211yescharacteristic, complemented
70C2×#6448C2211yescharacteristic, complemented
71C2×#6446C2211yescharacteristic
72C2×#6445C2211yescharacteristic, complemented
73C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
74C2×D7×C22⋊C4C2211yescharacteristic, complemented
75C2×#6442C2211yescharacteristic, complemented
76C2×#6441C2211yescharacteristic, complemented
77C7×#386C2211yescharacteristic
78C7×#386C2211yescharacteristic
79C7×#386C2211yescharacteristic
80C7×#386C2211yescharacteristic, complemented
81C7×#386C2211yescharacteristic, complemented
82C7×#386C2211yescharacteristic, complemented
83C7×#380C2211yescharacteristic, complemented
84C7×#380C2211yescharacteristic, complemented
85C7×#380C2211yescharacteristic, complemented
86#90019C2211yescharacteristic, complemented
87#89995C2211yescharacteristic
88#89995C2211yescharacteristic
89#89995C2211yescharacteristic
90#89995C2211yescharacteristic
91#89995C2211yescharacteristic
92#89995C2211yescharacteristic
93#89995C2211yescharacteristic, complemented
94#89995C2211yescharacteristic, complemented
95#89994C2211yescharacteristic
96#89994C2211yescharacteristic
97#89994C2211yescharacteristic
98#89994C2211yescharacteristic, complemented
99#89994C2211yescharacteristic, complemented
100#89994C2211yescharacteristic, complemented
101#89993C2211yescharacteristic
102#89993C2211yescharacteristic
103#89993C2211yescharacteristic, complemented
104#89992C2211yescharacteristic, complemented
105#89985C2211yescharacteristic
106#89985C2211yescharacteristic
107#89985C2211yescharacteristic
108#89985C2211yescharacteristic
109#89983C2211yescharacteristic, complemented
110#89983C2211yescharacteristic, complemented
111#89982C2211yescharacteristic, complemented
112#89982C2211yescharacteristic, complemented
113#89982C2211yescharacteristic, complemented
114#89982C2211yescharacteristic, complemented
115#89766C2211yescharacteristic, complemented
116#89766C2211yescharacteristic, complemented
117#89764C2211yescharacteristic, complemented
118#89763C2211yescharacteristic, complemented
119#89762C2211yescharacteristic, complemented
120#89762C2211yescharacteristic, complemented
121#89755C2211yescharacteristic, complemented
122#89754C2211yescharacteristic, complemented
123#89744C2211yescharacteristic, complemented
124#89744C2211yescharacteristic, complemented
125#89733C2211yescharacteristic
126#89733C2211yescharacteristic
127#89733C2211yescharacteristic, complemented
128#89733C2211yescharacteristic, complemented
129#89733C2211yescharacteristic, complemented
130#89732C2211yescharacteristic
131#89732C2211yescharacteristic
132#89732C2211yescharacteristic, complemented
133#89731C2211yescharacteristic
134#89731C2211yescharacteristic
135#89731C2211yescharacteristic
136#89731C2211yescharacteristic, complemented
137#89731C2211yescharacteristic, complemented
138#89729C2211yescharacteristic
139#89729C2211yescharacteristic
140#89729C2211yescharacteristic
141#89729C2211yescharacteristic, complemented
142#89729C2211yescharacteristic, complemented
143#89729C2211yescharacteristic, complemented
144#89728C2211yescharacteristic
145#89728C2211yescharacteristic, complemented
146#89728C2211yescharacteristic, complemented
147#89727C2211yescharacteristic, complemented
148#89725C2211yescharacteristic, complemented
149#89724C2211yescharacteristic, complemented
150#89723C2211yescharacteristic, complemented
151#89723C2211yescharacteristic, complemented
152#89723C2211yescharacteristic, complemented
153#89723C2211yescharacteristic, complemented
154#89720C2211yescharacteristic, complemented
155#89720C2211yescharacteristic, complemented
156#89720C2211yescharacteristic, complemented
157#89719C2211yescharacteristic, complemented
158#89719C2211yescharacteristic, complemented
159#89718C2211yescharacteristic, complemented
160#89716C2211yescharacteristic, complemented
161#89716C2211yescharacteristic, complemented
162#89716C2211yescharacteristic, complemented
163#89716C2211yescharacteristic, complemented
164#89716C2211yescharacteristic, complemented
165#89448C2211yescharacteristic, complemented
166#89447C2211yescharacteristic, complemented
167#89445C2211yescharacteristic, complemented
168#89444C2211yescharacteristic, complemented
169#89444C2211yescharacteristic, complemented
170#89442C2211yescharacteristic, complemented
171#89442C2211yescharacteristic, complemented
172#89442C2211yescharacteristic, complemented
173#89440C2211yescharacteristic, complemented
174#89439C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179#89433C2211yescharacteristic, complemented
180#89429C2211yescharacteristic, complemented
181#89428C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89420C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36724—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C22×C7×D4C2311yescharacteristic
199C23×C4×C7—24no—
200C23×C4×C7—42no—
201C23×C4×C7—42no—
202C23×C4×C7C2311yescharacteristic
203C23×C4×C7C2311yescharacteristic
204C23×C4×C7C2311yescharacteristic
205C23×C4×C7C2311yescharacteristic
206C23×C4×C7C2311yescharacteristic
207C23×C4×C7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C22×C22⋊D7C2311yescharacteristic
215C22×C22⋊D7C2311yescharacteristic
216C22×C22⋊D7C2311yescharacteristic
217C22×C22⋊D7C2311yescharacteristic
218C22×C22⋊D7C2311yescharacteristic
219C22×C22⋊D7C2311yescharacteristic
220C22×C22⋊D7C2311yescharacteristic
221C23×Dic7C2311yescharacteristic
222C2×#1157—24no—
223C2×#1157—42no—
224C2×#1157—42no—
225C22×D28C2311yescharacteristic
226C22×D28C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×Dic14C2311yescharacteristic
231C22×Dic14C2311yescharacteristic
232C7×#121—24no—
233C7×#121—42no—
234C7×#121—42no—
235C7×#120—42no—
236C7×#120—42no—
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C4⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C7×C22⋊C4C2311yescharacteristic
251C2×C7×C22⋊C4C2311yescharacteristic
252#6516—24no—
253#6516—24no—
254#6516—42no—
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274C2×C22⋊Dic7C2311yescharacteristic
275C2×C22⋊Dic7C2311yescharacteristic
276C2×C22⋊Dic7C2311yescharacteristic
277C2×C22⋊Dic7C2311yescharacteristic
278C2×C22⋊Dic7C2311yescharacteristic
279C2×C22⋊Dic7C2311yescharacteristic
280#6503—42no—
281#6502—24no—
282#6502—42no—
283#6501—24no—
284#6500—24no—
285#6500—24no—
286#6500—42no—
287#6500—42no—
288#6499—24no—
289#6498—24no—
290#6493—24no—
291#6493—24no—
292#6492—24no—
293#6492—24no—
294#6492—24no—
295#6492—42no—
296C4×C22⋊D7—24no—
297C4×C22⋊D7—24no—
298C4×C22⋊D7—24no—
299C4×C22⋊D7D418yescomplemented
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
323#6489—24no—
324C2×C4⋊Dic7C2311yescharacteristic
325C2×C4⋊Dic7C2311yescharacteristic
326C2×C4⋊Dic7C2311yescharacteristic
327C2×C4⋊Dic7C2311yescharacteristic
328C2×C4⋊Dic7C2311yescharacteristic
329C2×C4⋊Dic7C2311yescharacteristic
330#6487—24no—
331#6487—24no—
332C2×Dic7⋊C4C2311yescharacteristic
333C2×Dic7⋊C4C2311yescharacteristic
334C2×Dic7⋊C4C2311yescharacteristic
335C2×Dic7⋊C4C2311yescharacteristic
336C2×Dic7⋊C4C2311yescharacteristic
337C2×Dic7⋊C4C2311yescharacteristic
338C2×Dic7⋊C4C2311yescharacteristic
339C2×Dic7⋊C4C2311yescharacteristic
340C2×Dic7⋊C4C2311yescharacteristic
341C2×Dic7⋊C4C2311yescharacteristic
342C2×Dic7⋊C4C2311yescharacteristic
343C2×Dic7⋊C4C2311yescharacteristic
344C2×Dic7⋊C4C2311yescharacteristic
345C2×Dic7⋊C4C2311yescharacteristic
346C2×Dic7⋊C4C2311yescharacteristic
347C2×C4×Dic7C2311yescharacteristic
348C2×C4×Dic7C2311yescharacteristic
349C2×C4×Dic7C2311yescharacteristic
350C2×C4×Dic7C2311yescharacteristic
351C2×C4×Dic7C2311yescharacteristic
352C2×C4×Dic7C2311yescharacteristic
353C2×C4×Dic7C2311yescharacteristic
354#6461—24no—
355#6459—24no—
356#6448—24no—
357#6448—42no—
358#6446—42no—
359#6445—42no—
360(C22⋊D7)⋊C4—24no—
361D7×C22⋊C4—24no—
362#6442—24no—
363#6441—42no—
364C7×#95C2311yescharacteristic
365C7×#95C2311yescharacteristic
366C7×#95C2311yescharacteristic
367C7×#95C2311yescharacteristic
368C7×#95C2311yescharacteristic
369C7×#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#538—71no—
393C2×#525—71no—
394#2849—71no—
395#2847D711yescharacteristic, complemented
396#2705—71no—
397#2702—71no—
398#2700—71no—
399#2699—71no—
400#2687—71no—
401#2682—71no—
402#2681—71no—
403#2681—71no—
404#2679—71no—
405#2678—71no—
406#2678—71no—
407#2678—71no—
408#2672—71no—
409#2670—71no—
410#2669—71no—
411#2669—71no—
412#2635—71no—
413#2630—71no—
414#2610—71no—
415#2603—71no—
416#2601—71no—
417#2600—71no—
418#2544—71no—
419#2534—71no—
420#2407—71no—
421#2404—71no—
422#2319—71no—
423C24×C7—22no—
424C24×C7—22no—
425C24×C7—22no—
426C24×C7—41no—
427C24×C7—41no—
428C24×C7—41no—
429C24×C7—41no—
430C24×C7C2411yescharacteristic
431C24×C7C2411yescharacteristic
432C24×C7C2411yescharacteristic
433C24×C7C2411yescharacteristic
434C24×C7C2411yescharacteristic
435C23×D7—22no—
436C23×D7—41no—
437C23×D7—41no—
438C23×D7—41no—
439C23×D7—41no—
440C23×D7—41no—
441C23×D7—41no—
442C23×D7C2411yescharacteristic
443C23×D7C2411yescharacteristic
444C23×D7C2411yescharacteristic
445C2×C7×D4—22no—
446C2×C7×D4—22no—
447C2×C7×D4—22no—
448C2×C7×D4—22no—
449C2×C7×D4—22no—
450C2×C7×D4—22no—
451C2×C7×D4—22no—
452C2×C7×D4—41no—
453C2×C7×D4—41no—
454C2×C7×D4—41no—
455C2×C7×D4—41no—
456C2×C7×D4—41no—
457C2×C7×D4—41no—
458C2×C7×D4—41no—
459C2×C7×D4—41no—
460C2×C7×D4—41no—
461C2×C7×D4—41no—
462C2×C7×D4—41no—
463C2×C7×D4—41no—
464C2×C7×D4—41no—
465C2×C7×D4—41no—
466C22×C4×C7—22no—
467C22×C4×C7—22no—
468C22×C4×C7—22no—
469C22×C4×C7—22no—
470C22×C4×C7—22no—
471C22×C4×C7—22no—
472C22×C4×C7—22no—
473C22×C4×C7—22no—
474C22×C4×C7—22no—
475C22×C4×C7—22no—
476C22×C4×C7—41no—
477C22×C4×C7—41no—
478C22×C4×C7—41no—
479C22×C4×C7—41no—
480C22×C4×C7—41no—
481C22×C4×C7—41no—
482C22×C4×C7—41no—
483C22×C4×C7—416no—
484C22×C4×C7C2×D414yes—
485C22×C4×C7C2411yescharacteristic
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
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—22no—
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—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⋊D7C2×D414yes—
534C22×Dic7—22no—
535C22×Dic7—41no—
536C22×Dic7—41no—
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545C22×Dic7C2411yescharacteristic
546C22×Dic7C2411yescharacteristic
547C22×Dic7C2411yescharacteristic
548C22×Dic7C2411yescharacteristic
549C22×Dic7C2411yescharacteristic
550#1157—416no—
551C2×D28—22no—
552C2×D28—22no—
553C2×D28—41no—
554C2×D28—41no—
555C2×D28—41no—
556C2×D28—41no—
557C2×C4×D7—22no—
558C2×C4×D7—22no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C2×C4×D7—41no—
562C2×C4×D7—41no—
563C2×C4×D7—41no—
564C2×C4×D7—41no—
565C2×C4×D7C2×D414yes—
566C2×Dic14—22no—
567C2×Dic14—22no—
568C2×Dic14—22no—
569C2×Dic14—41no—
570C2×Dic14—41no—
571C2×Dic14—41no—
572C7×C4⋊C4—22no—
573C7×C4⋊C4—41no—
574C7×C4⋊C4—41no—
575C7×C22⋊C4—22no—
576C7×C22⋊C4—22no—
577C7×C22⋊C4—22no—
578C7×C22⋊C4—22no—
579C7×C22⋊C4—22no—
580C7×C22⋊C4—22no—
581C7×C22⋊C4—41no—
582C7×C22⋊C4—41no—
583C7×C22⋊C4—41no—
584C7×C22⋊C4—41no—
585C7×C22⋊C4—41no—
586C7×C22⋊C4—41no—
587C22⋊Dic7—22no—
588C22⋊Dic7—22no—
589C22⋊Dic7—22no—
590C22⋊Dic7—22no—
591C22⋊Dic7—22no—
592C22⋊Dic7—22no—
593C22⋊Dic7—22no—
594C22⋊Dic7—22no—
595C22⋊Dic7—22no—
596C22⋊Dic7—22no—
597C22⋊Dic7—22no—
598C22⋊Dic7—22no—
599C22⋊Dic7—41no—
600C22⋊Dic7—41no—
601C22⋊Dic7—41no—
602C22⋊Dic7—41no—
603C22⋊Dic7—41no—
604C22⋊Dic7—41no—
605C22⋊Dic7—41no—
606C22⋊Dic7—41no—
607C22⋊Dic7—41no—
608C22⋊Dic7—41no—
609C22⋊Dic7—41no—
610C22⋊Dic7—41no—
611C22⋊Dic7C2×D414yes—
612(C2×D7)⋊C4—22no—
613(C2×D7)⋊C4—22no—
614(C2×D7)⋊C4—22no—
615(C2×D7)⋊C4—22no—
616(C2×D7)⋊C4—22no—
617(C2×D7)⋊C4—22no—
618(C2×D7)⋊C4—22no—
619(C2×D7)⋊C4—22no—
620(C2×D7)⋊C4—22no—
621(C2×D7)⋊C4—41no—
622(C2×D7)⋊C4—41no—
623(C2×D7)⋊C4—41no—
624(C2×D7)⋊C4—41no—
625(C2×D7)⋊C4—41no—
626(C2×D7)⋊C4—41no—
627(C2×D7)⋊C4—41no—
628(C2×D7)⋊C4—41no—
629(C2×D7)⋊C4—41no—
630(C2×D7)⋊C4—41no—
631(C2×D7)⋊C4—41no—
632(C2×D7)⋊C4—41no—
633(C2×D7)⋊C4—41no—
634(C2×D7)⋊C4C2×D414yes—
635C4⋊Dic7—22no—
636C4⋊Dic7—22no—
637C4⋊Dic7—22no—
638C4⋊Dic7—41no—
639C4⋊Dic7—41no—
640C4⋊Dic7—41no—
641Dic7⋊C4—22no—
642Dic7⋊C4—22no—
643Dic7⋊C4—22no—
644Dic7⋊C4—22no—
645Dic7⋊C4—22no—
646Dic7⋊C4—22no—
647Dic7⋊C4—22no—
648Dic7⋊C4—41no—
649Dic7⋊C4—41no—
650Dic7⋊C4—41no—
651Dic7⋊C4—41no—
652Dic7⋊C4—41no—
653Dic7⋊C4—41no—
654Dic7⋊C4—41no—
655Dic7⋊C4C2×D414yes—
656C4×Dic7—22no—
657C4×Dic7—22no—
658C4×Dic7—41no—
659C4×Dic7—41no—
660C4×Dic7—41no—
661C4×Dic7—41no—
662C4×Dic7C2×D414yes—
663C22×#41—71no—
664C24×C4C2×D711yescharacteristic, complemented
665#538—148no—
666C2×#127—71no—
667C2×#126—71no—
668C2×#126—71no—
669C2×#124—71no—
670C2×#124—71no—
671C2×#124—71no—
672#525—148no—
673C2×#123—71no—
674C2×#123—71no—
675C2×#123—71no—
676C2×#123—71no—
677C2×#123—71no—
678C2×#123—71no—
679C2×C22⋊Q8—71no—
680C2×C22⋊Q8—71no—
681C2×C22⋊Q8—71no—
682C2×C22⋊Q8—71no—
683C2×#121—71no—
684C2×#121—71no—
685C2×#121—71no—
686C2×#121—71no—
687C2×#121—71no—
688C2×#121C2×D711yescharacteristic
689C2×#121C2×D711yescharacteristic
690C2×#121C2×D711yescharacteristic
691C2×#120—71no—
692C2×#120—71no—
693C2×#120—71no—
694C2×#120—71no—
695C2×#120—71no—
696C2×#120—71no—
697C2×#120—71no—
698C2×#120—71no—
699C2×#120C2×D711yescharacteristic
700C2×#120C2×D711yescharacteristic, complemented
701C2×C4×D4—71no—
702C2×C4×D4—71no—
703C2×C4×D4—71no—
704C2×C4×D4—71no—
705C2×C4×D4—71no—
706C2×#117—71no—
707C22×C22⋊C4—71no—
708#400—71no—
709#399—71no—
710#398—71no—
711#398—71no—
712#398—71no—
713#397—71no—
714#397—71no—
715#397—71no—
716#396—71no—
717#396—71no—
718#396—71no—
719#396—71no—
720#396—71no—
721#396—71no—
722#395—71no—
723#394—71no—
724#394—71no—
725#394—71no—
726#394—71no—
727#394—71no—
728#394—71no—
729#394—71no—
730#394—71no—
731#394—71no—
732#394—71no—
733#394—71no—
734#394—71no—
735#394—71no—
736#394—71no—
737#394—71no—
738#394—71no—
739#394—71no—
740#394—71no—
741#394—71no—
742#393—71no—
743#393—71no—
744#393—71no—
745#392—71no—
746#392—71no—
747#392—71no—
748#392—71no—
749#392—71no—
750#392—71no—
751#392—71no—
752#392—71no—
753#392—71no—
754#392—71no—
755#392—71no—
756#391—71no—
757#391—71no—
758#390—71no—
759#390—71no—
760#390—71no—
761#390—71no—
762#390—71no—
763#390—71no—
764#390—71no—
765#390—71no—
766#390—71no—
767#389—71no—
768#389—71no—
769#389—71no—
770#388—71no—
771#388—71no—
772#388—71no—
773#388—71no—
774#388—71no—
775#388—71no—
776#388—71no—
777#388—71no—
778#388—71no—
779#388—71no—
780#388—71no—
781#388—71no—
782#388—71no—
783#388—71no—
784#387—71no—
785#387—71no—
786#386—71no—
787#386—71no—
788#386—71no—
789#386—71no—
790#386—71no—
791#386—71no—
792#386—71no—
793#386—71no—
794#386—71no—
795#386—71no—
796#386C2×D711yescharacteristic
797#386C2×D711yescharacteristic
798#386C2×D711yescharacteristic
799#386C2×D711yescharacteristic, complemented
800#386C2×D711yescharacteristic, complemented
801#386C2×D711yescharacteristic, complemented
802#385—71no—
803#385—71no—
804#385—71no—
805#385—71no—
806#385—71no—
807#385—71no—
808#381—71no—
809#381—71no—
810#381—71no—
811#381—71no—
812#380—71no—
813#380C2×D711yescharacteristic, complemented
814#380C2×D711yescharacteristic, complemented
815#380C2×D711yescharacteristic, complemented
816#379—71no—
817#379—71no—
818C4×C4⋊C4—71no—
819#376—71no—
820C23×C7—21no—
821C23×C7—21no—
822C23×C7—21no—
823C23×C7—21no—
824C23×C7—21no—
825C23×C7—21no—
826C23×C7—21no—
827C23×C7—21no—
828C23×C7—21no—
829C23×C7—21no—
830C23×C7—21no—
831C23×C7—21no—
832C23×C7—21no—
833C23×C7—21no—
834C23×C7—21no—
835C23×C7—21no—
836C23×C7—21no—
837C23×C7—21no—
838C23×C7—21no—
839C23×C7—21no—
840C23×C7—21no—
841C23×C7—21no—
842C23×C7—21no—
843C23×C7—21no—
844C23×C7—21no—
845C23×C7—21no—
846C23×C7—21no—
847C23×C7—21no—
848C23×C7—21no—
849C23×C7—21no—
850C23×C7—21no—
851C23×C7—21no—
852C23×C7—44no—
853C23×C7—44no—
854C23×C7—44no—
855C23×C7—44no—
856C23×C7—44no—
857C23×C7—44no—
858C23×C7—44no—
859C23×C7C22×D412yes—
860C23×C7H(5,𝔽2)12yes—
861C23×C7H(5,𝔽2)12yes—
862C23×C7C2511yescharacteristic
863C22×D7—21no—
864C22×D7—21no—
865C22×D7—21no—
866C22×D7—21no—
867C22×D7—21no—
868C22×D7—21no—
869C22×D7—21no—
870C22×D7—21no—
871C22×D7—21no—
872C22×D7—21no—
873C22×D7—21no—
874C22×D7—21no—
875C22×D7—21no—
876C22×D7—21no—
877C22×D7—21no—
878C22×D7—21no—
879C22×D7—21no—
880C22×D7—21no—
881C22×D7—21no—
882C22×D7—21no—
883C22×D7—44no—
884C22×D7—82no—
885C22×D7—82no—
886C22×D7—82no—
887C22×D7—82no—
888C22×D7—82no—
889C22×D7—82no—
890C22×D7C22×D412yes—
891C7×D4—82no—
892C7×D4—82no—
893C7×D4—82no—
894C7×D4—82no—
895C7×D4—82no—
896C7×D4—82no—
897C7×D4—82no—
898C2×C4×C7—28no—
899C2×C4×C7—21no—
900C2×C4×C7—21no—
901C2×C4×C7—21no—
902C2×C4×C7—21no—
903C2×C4×C7—21no—
904C2×C4×C7—21no—
905C2×C4×C7—21no—
906C2×C4×C7—21no—
907C2×C4×C7—21no—
908C2×C4×C7—21no—
909C2×C4×C7—21no—
910C2×C4×C7—21no—
911C2×C4×C7—21no—
912C2×C4×C7—21no—
913C2×C4×C7—21no—
914C2×C4×C7—21no—
915C2×C4×C7—21no—
916C2×C4×C7—21no—
917C2×C4×C7—21no—
918C2×C4×C7—21no—
919C2×C4×C7—21no—
920C2×C4×C7—21no—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—44no—
927C2×C4×C7—44no—
928C2×C4×C7—44no—
929C2×C4×C7—44no—
930C2×C4×C7—44no—
931C2×C4×C7C22×D412yes—
932C2×C4×C7C22×D412yes—
933C2×C4×C7H(5,𝔽2)12yes—
934C22⋊D7—44no—
935C22⋊D7—44no—
936C22⋊D7—44no—
937C22⋊D7—44no—
938C22⋊D7—44no—
939C22⋊D7—44no—
940C22⋊D7—44no—
941C22⋊D7—82no—
942C22⋊D7—82no—
943C22⋊D7—82no—
944C22⋊D7—82no—
945C22⋊D7—82no—
946C22⋊D7—82no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—21no—
963C2×Dic7—21no—
964C2×Dic7—21no—
965C2×Dic7—21no—
966C2×Dic7—21no—
967C2×Dic7—21no—
968C2×Dic7—21no—
969C2×Dic7—21no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—21no—
973C2×Dic7—21no—
974C2×Dic7—21no—
975C2×Dic7—21no—
976C2×Dic7—21no—
977C2×Dic7—21no—
978C2×Dic7—21no—
979C2×Dic7—21no—
980C2×Dic7—21no—
981C2×Dic7—21no—
982C2×Dic7—21no—
983C2×Dic7—82no—
984C2×Dic7C22×D412yes—
985C2×Dic7C22×D412yes—
986C2×Dic7C22×D412yes—
987D28—44no—
988D28—82no—
989C4×D7—44no—
990C4×D7—44no—
991C4×D7—82no—
992Dic14—44no—
993Dic14—82no—
994C25—71no—
995C25C22×D711yescharacteristic
996C2×#41—144no—
997C2×#41—282no—
998C2×#41—282no—
999C22×Q8—71no—
1000C22×Q8—71no—
1001C22×D4—71no—
1002C22×D4—71no—
1003C22×D4—71no—
1004C22×D4—71no—
1005C22×D4—71no—
1006C22×D4—71no—
1007C22×D4—71no—
1008C22×D4—71no—
1009C22×D4—71no—
1010C22×D4—71no—
1011C22×D4—71no—
1012C22×D4—71no—
1013C22×D4—71no—
1014C22×D4—71no—
1015C22×D4—71no—
1016C22×D4C22×D711yescharacteristic
1017C22×D4C22×D711yescharacteristic
1018C22×D4C22×D711yescharacteristic
1019C22×D4C22×D711yescharacteristic
1020C22×D4C22×D711yescharacteristic
1021C22×D4C22×D711yescharacteristic
1022C22×D4C22×D711yescharacteristic
1023C23×C4—24no—
1024C23×C4—42no—
1025C23×C4—42no—
1026C23×C4—71no—
1027C23×C4—71no—
1028C23×C4—71no—
1029C23×C4—71no—
1030C23×C4C22×D711yescharacteristic
1031C23×C4C22×D711yescharacteristic
1032C23×C4C22×D711yescharacteristic
1033C23×C4C22×D711yescharacteristic
1034C23×C4C22×D711yescharacteristic
1035C23×C4C22×D711yescharacteristic
1036#127—282no—
1037#126—144no—
1038#126—144no—
1039#124—144no—
1040#124—144no—
1041#124—282no—
1042#123—144no—
1043#123—144no—
1044#123—144no—
1045#123—144no—
1046#123—282no—
1047#123—282no—
1048C22⋊Q8—144no—
1049C22⋊Q8—144no—
1050C22⋊Q8—144no—
1051C22⋊Q8—282no—
1052#121—24no—
1053#121—42no—
1054#121—42no—
1055#121—144no—
1056#121—144no—
1057#121—144no—
1058#121—144no—
1059#121—282no—
1060#120—42no—
1061#120—42no—
1062#120—144no—
1063#120—144no—
1064#120—144no—
1065#120—144no—
1066#120—282no—
1067#120—282no—
1068#120—282no—
1069#120—282no—
1070C4×D4—78no—
1071C4×D4—144no—
1072C4×D4—144no—
1073C4×D4—144no—
1074C4×D4—144no—
1075#117—144no—
1076C2×C4⋊C4—71no—
1077C2×C4⋊C4—71no—
1078C2×C4⋊C4—71no—
1079C2×C4⋊C4—71no—
1080C2×C4⋊C4—71no—
1081C2×C4⋊C4—71no—
1082C2×C4⋊C4—71no—
1083C2×C4⋊C4—71no—
1084C2×C4⋊C4—71no—
1085C2×C4⋊C4—71no—
1086C2×C4⋊C4—71no—
1087C2×C4⋊C4—71no—
1088C2×C4⋊C4—71no—
1089C2×C4⋊C4—71no—
1090C2×C4⋊C4—71no—
1091C2×C4⋊C4—71no—
1092C2×C4⋊C4—71no—
1093C2×C4⋊C4—71no—
1094C2×C4⋊C4—71no—
1095C2×C4⋊C4—71no—
1096C2×C4⋊C4—71no—
1097C2×C4⋊C4C22×D711yescharacteristic
1098C2×C4⋊C4C22×D711yescharacteristic
1099C2×C4⋊C4C22×D711yescharacteristic
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—71no—
1103C2×C22⋊C4—71no—
1104C2×C22⋊C4—71no—
1105C2×C22⋊C4—71no—
1106C2×C22⋊C4—71no—
1107C2×C22⋊C4—71no—
1108C2×C22⋊C4—71no—
1109C2×C22⋊C4—71no—
1110C2×C22⋊C4—71no—
1111C2×C22⋊C4—71no—
1112C2×C22⋊C4—71no—
1113C2×C22⋊C4—71no—
1114C2×C22⋊C4—71no—
1115C2×C22⋊C4—71no—
1116C2×C22⋊C4—71no—
1117C2×C22⋊C4—71no—
1118C2×C22⋊C4—71no—
1119C2×C22⋊C4—71no—
1120C2×C22⋊C4—71no—
1121C2×C22⋊C4—71no—
1122C2×C22⋊C4—71no—
1123C2×C22⋊C4—71no—
1124C2×C22⋊C4—71no—
1125C2×C22⋊C4—71no—
1126C2×C22⋊C4—71no—
1127C2×C22⋊C4—71no—
1128C2×C22⋊C4—71no—
1129C2×C22⋊C4—71no—
1130C2×C22⋊C4—71no—
1131C2×C22⋊C4—71no—
1132C2×C22⋊C4—71no—
1133C2×C22⋊C4—71no—
1134C2×C22⋊C4—71no—
1135C2×C22⋊C4—71no—
1136C2×C22⋊C4—71no—
1137C2×C22⋊C4—71no—
1138C2×C22⋊C4—71no—
1139C2×C22⋊C4—71no—
1140C2×C22⋊C4—71no—
1141C2×C22⋊C4—71no—
1142C2×C22⋊C4—71no—
1143C2×C22⋊C4—71no—
1144C2×C22⋊C4—71no—
1145C2×C22⋊C4—71no—
1146C2×C22⋊C4—71no—
1147C2×C22⋊C4—71no—
1148C2×C22⋊C4—144no—
1149C2×C22⋊C4C22×D711yescharacteristic
1150C2×C22⋊C4C22×D711yescharacteristic
1151C2×C22⋊C4C22×D711yescharacteristic
1152C2×C22⋊C4C22×D711yescharacteristic
1153C2×C22⋊C4C22×D711yescharacteristic
1154C2×C22⋊C4C22×D711yescharacteristic
1155C2×C22⋊C4C22×D711yescharacteristic
1156C2×C22⋊C4C22×D711yescharacteristic
1157C2×C22⋊C4C22×D711yescharacteristic
1158C2×C22⋊C4C22×D711yescharacteristic
1159C2×C22⋊C4C22×D711yescharacteristic
1160C2×C22⋊C4C22×D711yescharacteristic
1161C2×C42—71no—
1162C2×C42—71no—
1163C2×C42—71no—
1164C2×C42—71no—
1165C2×C42—71no—
1166C2×C42—71no—
1167C2×C42—71no—
1168#95—71no—
1169#95—71no—
1170#95—71no—
1171#95—71no—
1172#95—71no—
1173#95—71no—
1174#95—71no—
1175#95—71no—
1176#95—71no—
1177#95—71no—
1178#95—71no—
1179#95—71no—
1180#95—71no—
1181#95—71no—
1182#95—71no—
1183#95—71no—
1184#95—71no—
1185#95—71no—
1186#95—71no—
1187#95—71no—
1188#95—71no—
1189#95—71no—
1190#95C22×D711yescharacteristic
1191#95C22×D711yescharacteristic
1192#95C22×D711yescharacteristic
1193#95C22×D711yescharacteristic
1194#95C22×D711yescharacteristic
1195#95C22×D711yescharacteristic
1196C22×C7—22no—
1197C22×C7—22no—
1198C22×C7—22no—
1199C22×C7—22no—
1200C22×C7—22no—
1201C22×C7—22no—
1202C22×C7—22no—
1203C22×C7—22no—
1204C22×C7—22no—
1205C22×C7—416no—
1206C22×C7—41no—
1207C22×C7—41no—
1208C22×C7—41no—
1209C22×C7—41no—
1210C22×C7—41no—
1211C22×C7—41no—
1212C22×C7—41no—
1213C22×C7—41no—
1214C22×C7—41no—
1215C22×C7—41no—
1216C22×C7—41no—
1217C22×C7—41no—
1218C22×C7—41no—
1219C22×C7—41no—
1220C22×C7—41no—
1221C22×C7—41no—
1222C22×C7—41no—
1223C22×C7—41no—
1224C22×C7—41no—
1225C22×C7—41no—
1226C22×C7—41no—
1227C22×C7—41no—
1228C22×C7—41no—
1229C22×C7—41no—
1230C22×C7—41no—
1231C22×C7—41no—
1232C22×C7C23×D411yescharacteristic
1233C22×C7C2×H(5,𝔽2)11yescharacteristic
1234C22×C7C2×H(5,𝔽2)11yescharacteristic
1235C22×C7C2×H(5,𝔽2)11yescharacteristic
1236C22×C7#58511yescharacteristic
1237C22×C7#58511yescharacteristic
1238C22×C7#58511yescharacteristic
1239C2×D7—22no—
1240C2×D7—22no—
1241C2×D7—22no—
1242C2×D7—41no—
1243C2×D7—41no—
1244C2×D7—41no—
1245C2×D7—41no—
1246C2×D7—41no—
1247C2×D7—41no—
1248C2×D7—41no—
1249C2×D7—41no—
1250C2×D7—41no—
1251C2×D7—41no—
1252C2×D7—41no—
1253C2×D7—41no—
1254C2×D7—41no—
1255C2×D7—41no—
1256C2×D7—41no—
1257C2×D7—41no—
1258C2×D7—41no—
1259C2×D7—41no—
1260C2×D7—88no—
1261C4×C7—22no—
1262C4×C7—22no—
1263C4×C7—22no—
1264C4×C7—41no—
1265C4×C7—41no—
1266C4×C7—41no—
1267C4×C7—41no—
1268C4×C7—41no—
1269C4×C7—41no—
1270C4×C7—41no—
1271Dic7—22no—
1272Dic7—22no—
1273Dic7—22no—
1274Dic7—41no—
1275Dic7—41no—
1276Dic7—41no—
1277Dic7—41no—
1278Dic7—41no—
1279Dic7—41no—
1280Dic7—41no—
1281Dic7—41no—
1282Dic7—41no—
1283Dic7—41no—
1284C24—22no—
1285C24—22no—
1286C24—22no—
1287C24—41no—
1288C24—41no—
1289C24—41no—
1290C24—41no—
1291C24—71no—
1292C24—71no—
1293C24—71no—
1294C24—142no—
1295C24—281no—
1296C24—281no—
1297C24—281no—
1298C24—281no—
1299C24—281no—
1300C24—281no—
1301C24C23×D711yescharacteristic
1302C24C23×D711yescharacteristic
1303C24C23×D711yescharacteristic
1304C24C23×D711yescharacteristic
1305C24C23×D711yescharacteristic
1306#41—2816no—
1307C2×Q8—142no—
1308C2×Q8—142no—
1309C2×Q8—142no—
1310C2×Q8—281no—
1311C2×Q8—281no—
1312C2×Q8—281no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—74no—
1335C2×D4—142no—
1336C2×D4—142no—
1337C2×D4—142no—
1338C2×D4—142no—
1339C2×D4—142no—
1340C2×D4—142no—
1341C2×D4—142no—
1342C2×D4—142no—
1343C2×D4—142no—
1344C2×D4—142no—
1345C2×D4—142no—
1346C2×D4—142no—
1347C2×D4—142no—
1348C2×D4—142no—
1349C2×D4—142no—
1350C2×D4—142no—
1351C2×D4—281no—
1352C2×D4—281no—
1353C2×D4—281no—
1354C2×D4—281no—
1355C2×D4—281no—
1356C2×D4—281no—
1357C2×D4—281no—
1358C2×D4—281no—
1359C2×D4—281no—
1360C2×D4—281no—
1361C2×D4—281no—
1362C2×D4—281no—
1363C2×D4—281no—
1364C2×D4—281no—
1365C2×D4—281no—
1366C2×D4—281no—
1367C2×D4—281no—
1368C2×D4—281no—
1369C2×D4—281no—
1370C2×D4—281no—
1371C2×D4—281no—
1372C2×D4—281no—
1373C2×D4—281no—
1374C2×D4—281no—
1375C2×D4—281no—
1376C2×D4—281no—
1377C2×D4—281no—
1378C2×D4—281no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—416no—
1397C22×C4—71no—
1398C22×C4—71no—
1399C22×C4—71no—
1400C22×C4—74no—
1401C22×C4—71no—
1402C22×C4—71no—
1403C22×C4—71no—
1404C22×C4—71no—
1405C22×C4—71no—
1406C22×C4—71no—
1407C22×C4—71no—
1408C22×C4—71no—
1409C22×C4—71no—
1410C22×C4—71no—
1411C22×C4—142no—
1412C22×C4—142no—
1413C22×C4—142no—
1414C22×C4—281no—
1415C22×C4—281no—
1416C22×C4—281no—
1417C22×C4—281no—
1418C22×C4—281no—
1419C22×C4—281no—
1420C22×C4—281no—
1421C22×C4—281no—
1422C22×C4D4×D714yes—
1423C22×C4C23×D711yescharacteristic
1424C22×C4C23×D711yescharacteristic
1425C22×C4C23×D711yescharacteristic
1426C22×C4C23×D711yescharacteristic
1427C22×C4C23×D711yescharacteristic
1428C22×C4C23×D711yescharacteristic
1429C22×C4C23×D711yescharacteristic
1430C22×C4C23×D711yescharacteristic
1431C22×C4C23×D711yescharacteristic
1432C22×C4C23×D711yescharacteristic
1433C4⋊C4—22no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—74no—
1437C4⋊C4—142no—
1438C4⋊C4—142no—
1439C4⋊C4—142no—
1440C4⋊C4—142no—
1441C4⋊C4—142no—
1442C4⋊C4—142no—
1443C4⋊C4—142no—
1444C4⋊C4—142no—
1445C4⋊C4—142no—
1446C4⋊C4—142no—
1447C4⋊C4—281no—
1448C4⋊C4—281no—
1449C4⋊C4—281no—
1450C4⋊C4—281no—
1451C4⋊C4—281no—
1452C4⋊C4—281no—
1453C4⋊C4—281no—
1454C4⋊C4—281no—
1455C4⋊C4—281no—
1456C4⋊C4—281no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—74no—
1470C22⋊C4—74no—
1471C22⋊C4—142no—
1472C22⋊C4—142no—
1473C22⋊C4—142no—
1474C22⋊C4—142no—
1475C22⋊C4—142no—
1476C22⋊C4—142no—
1477C22⋊C4—142no—
1478C22⋊C4—142no—
1479C22⋊C4—142no—
1480C22⋊C4—142no—
1481C22⋊C4—142no—
1482C22⋊C4—142no—
1483C22⋊C4—142no—
1484C22⋊C4—142no—
1485C22⋊C4—142no—
1486C22⋊C4—142no—
1487C22⋊C4—142no—
1488C22⋊C4—142no—
1489C22⋊C4—142no—
1490C22⋊C4—142no—
1491C22⋊C4—142no—
1492C22⋊C4—281no—
1493C22⋊C4—281no—
1494C22⋊C4—281no—
1495C22⋊C4—281no—
1496C22⋊C4—281no—
1497C22⋊C4—281no—
1498C22⋊C4—281no—
1499C22⋊C4—281no—
1500C22⋊C4—281no—
1501C22⋊C4—281no—
1502C22⋊C4—281no—
1503C22⋊C4—281no—
1504C22⋊C4—281no—
1505C22⋊C4—281no—
1506C22⋊C4—281no—
1507C22⋊C4—281no—
1508C22⋊C4—281no—
1509C22⋊C4—281no—
1510C22⋊C4—281no—
1511C22⋊C4—281no—
1512C22⋊C4—281no—
1513C22⋊C4—281no—
1514C22⋊C4—281no—
1515C22⋊C4—281no—
1516C22⋊C4—281no—
1517C42—74no—
1518C42—142no—
1519C42—142no—
1520C42—281no—
1521C42—281no—
1522C42—281no—
1523C42—281no—
1524C2×C7—42no—
1525C2×C7—42no—
1526C2×C7—42no—
1527C2×C7—81no—
1528C2×C7—81no—
1529C2×C7#344911yescharacteristic
1530C2×C7#348411yescharacteristic
1531C2×C7#348811yescharacteristic
1532C2×C7#353311yescharacteristic
1533C2×C7#353411yescharacteristic
1534C2×C7#354011yescharacteristic
1535C2×C7#354211yescharacteristic
1536D7—42no—
1537D7—81no—
1538D7—81no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—72no—
1579C23—141no—
1580C23—141no—
1581C23—141no—
1582C23—141no—
1583C23—141no—
1584C23—141no—
1585C23—141no—
1586C23—141no—
1587C23—141no—
1588C23—141no—
1589C23—141no—
1590C23—141no—
1591C23—141no—
1592C23—141no—
1593C23—141no—
1594C23—141no—
1595C23—141no—
1596C23—141no—
1597C23—141no—
1598C23—141no—
1599C23—284no—
1600C23—562no—
1601C23—562no—
1602C23—562no—
1603C23—562no—
1604C23—562no—
1605C23—562no—
1606C23C2×D4×D712yes—
1607C23#654812yes—
1608C23#654812yes—
1609C23C24×D711yescharacteristic
1610Q8—284no—
1611Q8—562no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—284no—
1620D4—284no—
1621D4—284no—
1622D4—284no—
1623D4—284no—
1624D4—284no—
1625D4—284no—
1626D4—284no—
1627D4—562no—
1628D4—562no—
1629D4—562no—
1630D4—562no—
1631D4—562no—
1632D4—562no—
1633D4—562no—
1634C2×C4—28no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—72no—
1668C2×C4—72no—
1669C2×C4—72no—
1670C2×C4—141no—
1671C2×C4—141no—
1672C2×C4—141no—
1673C2×C4—141no—
1674C2×C4—141no—
1675C2×C4—141no—
1676C2×C4—141no—
1677C2×C4—141no—
1678C2×C4—141no—
1679C2×C4—141no—
1680C2×C4—141no—
1681C2×C4—141no—
1682C2×C4—141no—
1683C2×C4—141no—
1684C2×C4—141no—
1685C2×C4—141no—
1686C2×C4—141no—
1687C2×C4—141no—
1688C2×C4—141no—
1689C2×C4—141no—
1690C2×C4—141no—
1691C2×C4—141no—
1692C2×C4—141no—
1693C2×C4—141no—
1694C2×C4—141no—
1695C2×C4—141no—
1696C2×C4—141no—
1697C2×C4—141no—
1698C2×C4—141no—
1699C2×C4—141no—
1700C2×C4—141no—
1701C2×C4—141no—
1702C2×C4—141no—
1703C2×C4—141no—
1704C2×C4—141no—
1705C2×C4—141no—
1706C2×C4—284no—
1707C2×C4—284no—
1708C2×C4—562no—
1709C2×C4—562no—
1710C2×C4C2×D4×D712yes—
1711C2×C4C2×D4×D712yes—
1712C2×C4#654812yes—
1713C7#3672411yescharacteristic, complemented, Sylow
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—416no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—142no—
1751C22—142no—
1752C22—142no—
1753C22—281no—
1754C22—281no—
1755C22—281no—
1756C22—281no—
1757C22—281no—
1758C22—281no—
1759C22—281no—
1760C22—281no—
1761C22—281no—
1762C22—281no—
1763C22—281no—
1764C22—281no—
1765C22—281no—
1766C22—281no—
1767C22—281no—
1768C22—281no—
1769C22—281no—
1770C22—281no—
1771C22—568no—
1772C22C22×D4×D711yescharacteristic
1773C22C2×#654811yescharacteristic
1774C22C2×#654811yescharacteristic
1775C22C2×#654811yescharacteristic
1776C22#9061611yescharacteristic
1777C22#9061611yescharacteristic
1778C22#9061611yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—142no—
1790C4—142no—
1791C4—142no—
1792C4—281no—
1793C4—281no—
1794C4—281no—
1795C4—281no—
1796C4—281no—
1797C4—281no—
1798C4—281no—
1799C4—281no—
1800C4—281no—
1801C4—281no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—81no—
1806C2—81no—
1807C2—282no—
1808C2—561no—
1809C2—561no—
1810C2#1174298711yescharacteristic
1811C2#1174301711yescharacteristic
1812C2#1174302211yescharacteristic
1813C2#1174302411yescharacteristic
1814C2#1174310311yescharacteristic
1815C2#1174311711yescharacteristic
1816C2#1174312311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2847C2
hypercenter#2847D7
hypocenterC7#36724
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#90482C2semidirect
2. C2×#90304C2semidirect
3. C7×#2847C2semidirect
4. #11741478C2semidirect
5. #11740165C2semidirect
6. #11740159C2semidirect
7. #11740156C2semidirect
8. #11740131C2semidirect
9. #11740130C2semidirect
10. #11740055C2semidirect
11. #11740042C2semidirect
12. #11740040C2semidirect
13. #11740039C2semidirect
14. #11732362C2semidirect
15. #11732348C2semidirect
16. #11732346C2semidirect
17. #11732331C2semidirect
18. #11732256C2semidirect
19. #11732255C2semidirect
20. #11732239C2semidirect
21. #11732225C2semidirect
22. #11732223C2semidirect
23. #11732222C2semidirect
24. #11732198C2semidirect
25. #11732133C2semidirect
26. #11731483C2semidirect
27. #11731481C2semidirect
28. #11731479C2semidirect
29. #11731413C2semidirect
30. #11731410C2semidirect
31. #11731315C2semidirect
32. C24×C4×C7C22semidirect
38. C2×C7×#120C22semidirect
41. C2×#6516C22semidirect
44. C2×#6502C22semidirect
49. C2×#6500C22semidirect
51. C2×#6498C22semidirect
58. C2×#6492C22semidirect
61. C2×C4×C22⋊D7C22semidirect
62. C2×C4×C22⋊D7C22semidirect
63. C2×#6489C22semidirect
64. C2×#6487C22semidirect
65. C2×#6487C22semidirect
67. C2×#6461C22semidirect
68. C2×#6459C22semidirect
69. C2×#6448C22semidirect
70. C2×#6448C22semidirect
72. C2×#6445C22semidirect
73. C2×(C22⋊D7)⋊C4C22semidirect
74. C2×D7×C22⋊C4C22semidirect
75. C2×#6442C22semidirect
76. C2×#6441C22semidirect
80. C7×#386C22semidirect
81. C7×#386C22semidirect
82. C7×#386C22semidirect
83. C7×#380C22semidirect
84. C7×#380C22semidirect
85. C7×#380C22semidirect
86. #90019C22semidirect
93. #89995C22semidirect
94. #89995C22semidirect
98. #89994C22semidirect
99. #89994C22semidirect
100. #89994C22semidirect
103. #89993C22semidirect
104. #89992C22semidirect
109. #89983C22semidirect
110. #89983C22semidirect
111. #89982C22semidirect
112. #89982C22semidirect
113. #89982C22semidirect
114. #89982C22semidirect
115. #89766C22semidirect
116. #89766C22semidirect
117. #89764C22semidirect
118. #89763C22semidirect
119. #89762C22semidirect
120. #89762C22semidirect
121. #89755C22semidirect
122. #89754C22semidirect
123. #89744C22semidirect
124. #89744C22semidirect
127. #89733C22semidirect
128. #89733C22semidirect
129. #89733C22semidirect
132. #89732C22semidirect
136. #89731C22semidirect
137. #89731C22semidirect
141. #89729C22semidirect
142. #89729C22semidirect
143. #89729C22semidirect
145. #89728C22semidirect
146. #89728C22semidirect
147. #89727C22semidirect
148. #89725C22semidirect
149. #89724C22semidirect
150. #89723C22semidirect
151. #89723C22semidirect
152. #89723C22semidirect
153. #89723C22semidirect
154. #89720C22semidirect
155. #89720C22semidirect
156. #89720C22semidirect
157. #89719C22semidirect
158. #89719C22semidirect
159. #89718C22semidirect
160. #89716C22semidirect
161. #89716C22semidirect
162. #89716C22semidirect
163. #89716C22semidirect
164. #89716C22semidirect
165. #89448C22semidirect
166. #89447C22semidirect
167. #89445C22semidirect
168. #89444C22semidirect
169. #89444C22semidirect
170. #89442C22semidirect
171. #89442C22semidirect
172. #89442C22semidirect
173. #89440C22semidirect
174. #89439C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
177. #89436C22semidirect
178. #89436C22semidirect
179. #89433C22semidirect
180. #89429C22semidirect
181. #89428C22semidirect
182. #89425C22semidirect
183. #89424C22semidirect
184. #89421C22semidirect
185. #89420C22semidirect
186. #89419C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
299. C4×C22⋊D7D4semidirect
395. #2847D7semidirect
664. C24×C4C2×D7semidirect
700. C2×#120C2×D7semidirect
799. #386C2×D7semidirect
800. #386C2×D7semidirect
801. #386C2×D7semidirect
813. #380C2×D7semidirect
814. #380C2×D7semidirect
815. #380C2×D7semidirect
1713. C7#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#904822
C2×#903042
C7×#28472
#117414782
#117401652
#117401592
#117401562
#117401312
#117401302
#117400552
#117400422
#117400402
#117400392
#117323622
#117323482
#117323462
#117323312
#117322562
#117322552
#117322392
#117322252
#117322232
#117322222
#117321982
#117321332
#117314832
#117314812
#117314792
#117314132
#117314102
#117313152
#367247