Finite Group Databasebeta

← #13561168

Subgroups — #13561168

Order 1792.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90369C211yesmaximal, characteristic, complemented
2C2×#90304C211yesmaximal, characteristic, complemented
3C7×#2676C211yesmaximal, characteristic, complemented
4#11740433C211yesmaximal, characteristic, complemented
5#11740271C211yesmaximal, characteristic, complemented
6#11740197C211yesmaximal, characteristic, complemented
7#11740168C211yesmaximal, characteristic, complemented
8#11740161C211yesmaximal, characteristic, complemented
9#11740126C211yesmaximal, characteristic, complemented
10#11734880C211yesmaximal, characteristic, complemented
11#11734730C211yesmaximal, characteristic, complemented
12#11734568C211yesmaximal, characteristic, complemented
13#11734461C211yesmaximal, characteristic, complemented
14#11734446C211yesmaximal, characteristic, complemented
15#11734343C211yesmaximal, characteristic, complemented
16#11734314C211yesmaximal, characteristic, complemented
17#11734274C211yesmaximal, characteristic, complemented
18#11734215C211yesmaximal, characteristic, complemented
19#11734206C211yesmaximal, characteristic, complemented
20#11734204C211yesmaximal, characteristic, complemented
21#11734159C211yesmaximal, characteristic, complemented
22#11733884C211yesmaximal, characteristic, complemented
23#11733826C211yesmaximal, characteristic, complemented
24#11732805C211yesmaximal, characteristic, complemented
25#11732618C211yesmaximal, characteristic, complemented
26#11732380C211yesmaximal, characteristic, complemented
27#11732347C211yesmaximal, characteristic, complemented
28#11732269C211yesmaximal, characteristic, complemented
29#11732249C211yesmaximal, characteristic, complemented
30D7×#385C211yesmaximal, characteristic, complemented
31#11731965C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#124C2211yescharacteristic
34C2×C7×C22⋊Q8C2211yescharacteristic, complemented
35C2×C7×#121C2211yescharacteristic
36C2×C7×#121C2211yescharacteristic
37C2×#6510C2211yescharacteristic
38C2×#6509C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic, complemented
43C2×#6501C2211yescharacteristic
44C2×#6501C2211yescharacteristic
45C2×#6501C2211yescharacteristic
46C2×#6501C2211yescharacteristic
47C2×#6501C2211yescharacteristic, complemented
48C2×#6500C2211yescharacteristic
49C2×#6500C2211yescharacteristic
50C2×#6500C2211yescharacteristic
51C2×#6499C2211yescharacteristic
52C2×#6498C2211yescharacteristic
53C2×#6492C2211yescharacteristic
54C2×C4×C22⋊D7C2211yescharacteristic
55#90369—28no—
56#90304—28no—
57C2×#6461C2211yescharacteristic
58C2×#6459C2211yescharacteristic
59C2×D7×C4⋊C4C2211yescharacteristic
60C2×D7×C4⋊C4C2211yescharacteristic
61C2×#6449C2211yescharacteristic
62C2×#6448C2211yescharacteristic
63C2×#6447C2211yescharacteristic
64C2×#6447C2211yescharacteristic
65C2×#6447C2211yescharacteristic
66C2×#6447C2211yescharacteristic
67C2×#6447C2211yescharacteristic
68C2×#6446C2211yescharacteristic
69C2×#6445C2211yescharacteristic
70C2×(C22⋊D7)⋊C4C2211yescharacteristic
71C2×(C22⋊D7)⋊C4C2211yescharacteristic
72C2×D7×C22⋊C4C2211yescharacteristic
73C2×D7×C22⋊C4C2211yescharacteristic
74C2×#6442C2211yescharacteristic
75C2×#6442C2211yescharacteristic
76C2×#6441C2211yescharacteristic, complemented
77C2×#6439C2211yescharacteristic
78C2×C4×D28C2211yescharacteristic
79C7×#396C2211yescharacteristic, complemented
80C7×#394C2211yescharacteristic
81C7×#394C2211yescharacteristic, complemented
82C7×#393C2211yescharacteristic, complemented
83C7×#392C2211yescharacteristic
84C7×#392C2211yescharacteristic, complemented
85C7×#390C2211yescharacteristic, complemented
86C7×#387C2211yescharacteristic, complemented
87C7×#386C2211yescharacteristic
88C7×#386C2211yescharacteristic, complemented
89C7×#385C2211yescharacteristic
90#90002C2211yescharacteristic, complemented
91#90001C2211yescharacteristic, complemented
92#89995C2211yescharacteristic
93#89995C2211yescharacteristic
94#89995C2211yescharacteristic, complemented
95#89994C2211yescharacteristic
96#89994C2211yescharacteristic
97#89994C2211yescharacteristic, complemented
98#89992C2211yescharacteristic
99#89992C2211yescharacteristic
100#89992C2211yescharacteristic, complemented
101#89992C2211yescharacteristic, complemented
102#89985C2211yescharacteristic
103#89985C2211yescharacteristic, complemented
104#89984C2211yescharacteristic
105#89984C2211yescharacteristic, complemented
106#89982C2211yescharacteristic
107#89766C2211yescharacteristic, complemented
108#89764C2211yescharacteristic, complemented
109#89763C2211yescharacteristic
110#89761C2211yescharacteristic
111#89761C2211yescharacteristic
112#89761C2211yescharacteristic, complemented
113#89759C2211yescharacteristic
114#89759C2211yescharacteristic
115#89759C2211yescharacteristic
116#89759C2211yescharacteristic, complemented
117#89757C2211yescharacteristic, complemented
118#89756C2211yescharacteristic, complemented
119#89755C2211yescharacteristic, complemented
120#89752C2211yescharacteristic, complemented
121#89752C2211yescharacteristic, complemented
122#89744C2211yescharacteristic, complemented
123#89733C2211yescharacteristic
124#89733C2211yescharacteristic
125#89733C2211yescharacteristic, complemented
126#89732C2211yescharacteristic
127#89731C2211yescharacteristic
128#89731C2211yescharacteristic
129#89731C2211yescharacteristic, complemented
130#89731C2211yescharacteristic, complemented
131#89731C2211yescharacteristic, complemented
132#89729C2211yescharacteristic, complemented
133#89728C2211yescharacteristic
134#89728C2211yescharacteristic
135#89728C2211yescharacteristic
136#89728C2211yescharacteristic
137#89728C2211yescharacteristic
138#89728C2211yescharacteristic
139#89728C2211yescharacteristic
140#89728C2211yescharacteristic
141#89728C2211yescharacteristic
142#89725C2211yescharacteristic
143#89725C2211yescharacteristic, complemented
144#89724C2211yescharacteristic
145#89724C2211yescharacteristic, complemented
146#89723C2211yescharacteristic, complemented
147#89723C2211yescharacteristic, complemented
148#89722C2211yescharacteristic
149#89721C2211yescharacteristic, complemented
150#89720C2211yescharacteristic, complemented
151#89720C2211yescharacteristic, complemented
152#89720C2211yescharacteristic, complemented
153#89720C2211yescharacteristic, complemented
154#89720C2211yescharacteristic, complemented
155#89720C2211yescharacteristic, complemented
156#89718C2211yescharacteristic
157#89718C2211yescharacteristic, complemented
158#89718C2211yescharacteristic, complemented
159#89716C2211yescharacteristic, complemented
160#89714C2211yescharacteristic
161#89714C2211yescharacteristic, complemented
162#89714C2211yescharacteristic, complemented
163#89705C2211yescharacteristic, complemented
164#89700C2211yescharacteristic, complemented
165#89447C2211yescharacteristic
166#89446C2211yescharacteristic
167#89445C2211yescharacteristic, complemented
168#89442C2211yescharacteristic, complemented
169#89440C2211yescharacteristic
170#89440C2211yescharacteristic
171#89440C2211yescharacteristic, complemented
172#89439C2211yescharacteristic
173#89439C2211yescharacteristic
174#89439C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic
178D7×#95C2211yescharacteristic
179D7×#95C2211yescharacteristic
180#89433C2211yescharacteristic, complemented
181#89432C2211yescharacteristic, complemented
182#89431C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89428C2211yescharacteristic, complemented
185#89424C2211yescharacteristic, complemented
186#89424C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36738—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×C4×D7—42no—
216C22×C4×D7—42no—
217C22×C4×D7—42no—
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×Dic14C2311yescharacteristic
228C7×#124—24no—
229C7×C22⋊Q8—42no—
230C7×#121—24no—
231C7×#121—42no—
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C7×C22⋊C4C2311yescharacteristic
251C2×C42×C7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270#6510—24no—
271#6509—24no—
272#6502—24no—
273#6502—24no—
274#6502—42no—
275#6502—42no—
276#6501—24no—
277#6501—42no—
278#6501—42no—
279#6501—42no—
280#6501—42no—
281#6500—24no—
282#6500—24no—
283#6500—24no—
284#6499—24no—
285#6498—24no—
286#6492—24no—
287C4×C22⋊D7—24no—
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×(C2×D7)⋊C4C2311yescharacteristic
304C2×(C2×D7)⋊C4C2311yescharacteristic
305C2×(C2×D7)⋊C4C2311yescharacteristic
306C2×(C2×D7)⋊C4C2311yescharacteristic
307C2×(C2×D7)⋊C4C2311yescharacteristic
308C2×C4⋊Dic7C2311yescharacteristic
309C2×C4⋊Dic7C2311yescharacteristic
310C2×C4⋊Dic7C2311yescharacteristic
311C2×C4⋊Dic7C2311yescharacteristic
312C2×C4⋊Dic7C2311yescharacteristic
313C2×C4⋊Dic7C2311yescharacteristic
314C2×C4⋊Dic7C2311yescharacteristic
315C2×C4⋊Dic7C2311yescharacteristic
316C2×C4⋊Dic7C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338#6461—24no—
339#6459—24no—
340D7×C4⋊C4—42no—
341D7×C4⋊C4—42no—
342#6449—24no—
343#6448—24no—
344#6447—24no—
345#6447—24no—
346#6447—42no—
347#6447—42no—
348#6447—42no—
349#6446—24no—
350#6445—24no—
351(C22⋊D7)⋊C4—24no—
352(C22⋊D7)⋊C4—24no—
353D7×C22⋊C4—42no—
354D7×C22⋊C4D418yescomplemented
355#6442—24no—
356#6442—24no—
357#6441—42no—
358#6439—24no—
359C4×D28—24no—
360C7×#95C2311yescharacteristic
361C7×#95C2311yescharacteristic
362C7×#95C2311yescharacteristic
363C7×#95C2311yescharacteristic
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×#538—71no—
394#2847—71no—
395#2847—71no—
396#2722—71no—
397#2715—71no—
398#2715—71no—
399#2712—71no—
400#2695—71no—
401#2695—71no—
402#2693—71no—
403#2691—71no—
404#2691—71no—
405#2676—71no—
406#2676D711yescharacteristic, complemented
407#2675—71no—
408#2672—71no—
409#2672—71no—
410#2671—71no—
411#2671—71no—
412#2617—71no—
413#2617—71no—
414#2564—71no—
415#2564—71no—
416#2543—71no—
417#2543—71no—
418#2417—71no—
419#2417—71no—
420#2416—71no—
421#2416—71no—
422C2×#385—71no—
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C23×D7—22no—
428C23×D7—22no—
429C23×D7—41no—
430C23×D7—41no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7C2×D414yes—
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C23×D7C2411yescharacteristic
437C2×C7×Q8—22no—
438C2×C7×Q8—41no—
439C2×C7×Q8—41no—
440C2×C7×D4—22no—
441C2×C7×D4—22no—
442C2×C7×D4—22no—
443C2×C7×D4—22no—
444C2×C7×D4—22no—
445C2×C7×D4—41no—
446C2×C7×D4—41no—
447C2×C7×D4—41no—
448C2×C7×D4—41no—
449C2×C7×D4—41no—
450C2×C7×D4—41no—
451C2×C7×D4—41no—
452C2×C7×D4—41no—
453C2×C7×D4—41no—
454C2×C7×D4—41no—
455C2×C7×D4—41no—
456C2×C7×D4—41no—
457C2×C7×D4—41no—
458C22×C4×C7—22no—
459C22×C4×C7—22no—
460C22×C4×C7—41no—
461C22×C4×C7—41no—
462C22×C4×C7—41no—
463C22×C4×C7—41no—
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C22×C4×C7C2411yescharacteristic
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
479C2×C22⋊D7—22no—
480C2×C22⋊D7—22no—
481C2×C22⋊D7—22no—
482C2×C22⋊D7—22no—
483C2×C22⋊D7—22no—
484C2×C22⋊D7—22no—
485C2×C22⋊D7—22no—
486C2×C22⋊D7—22no—
487C2×C22⋊D7—22no—
488C2×C22⋊D7—22no—
489C2×C22⋊D7—22no—
490C2×C22⋊D7—41no—
491C2×C22⋊D7—41no—
492C2×C22⋊D7—41no—
493C2×C22⋊D7—41no—
494C2×C22⋊D7—41no—
495C2×C22⋊D7—41no—
496C2×C22⋊D7—41no—
497C2×C22⋊D7—41no—
498C2×C22⋊D7—41no—
499C2×C22⋊D7—41no—
500C2×C22⋊D7—41no—
501C2×C22⋊D7—41no—
502C2×C22⋊D7—41no—
503C2×C22⋊D7—41no—
504C2×C22⋊D7—41no—
505C22×Dic7—22no—
506C22×Dic7—22no—
507C22×Dic7—22no—
508C22×Dic7—41no—
509C22×Dic7—41no—
510C22×Dic7—41no—
511C22×Dic7—41no—
512C22×Dic7—41no—
513C22×Dic7—41no—
514C22×Dic7C2411yescharacteristic
515C22×Dic7C2411yescharacteristic
516C22×Dic7C2411yescharacteristic
517C22×Dic7C2411yescharacteristic
518C22×Dic7C2411yescharacteristic
519C22×Dic7C2411yescharacteristic
520C22×Dic7C2411yescharacteristic
521C22×Dic7C2411yescharacteristic
522C22×Dic7C2411yescharacteristic
523C22×Dic7C2411yescharacteristic
524C22×Dic7C2411yescharacteristic
525C22×Dic7C2411yescharacteristic
526C22×Dic7C2411yescharacteristic
527C2×D28—22no—
528C2×D28—22no—
529C2×D28—22no—
530C2×D28—22no—
531C2×D28—41no—
532C2×D28—41no—
533C2×C4×D7—22no—
534C2×C4×D7—22no—
535C2×C4×D7—22no—
536C2×C4×D7—22no—
537C2×C4×D7—22no—
538C2×C4×D7—22no—
539C2×C4×D7—22no—
540C2×C4×D7—22no—
541C2×C4×D7—22no—
542C2×C4×D7—41no—
543C2×C4×D7—41no—
544C2×C4×D7—41no—
545C2×C4×D7—41no—
546C2×C4×D7—41no—
547C2×C4×D7—41no—
548C2×C4×D7—41no—
549C2×C4×D7—41no—
550C2×C4×D7—41no—
551C2×C4×D7—41no—
552C2×C4×D7—416no—
553C2×C4×D7—41no—
554C2×C4×D7—41no—
555C2×C4×D7—41no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×C4×D7—41no—
559C2×C4×D7C2×D414yes—
560C2×C4×D7C2×D414yes—
561C2×Dic14—22no—
562C2×Dic14—41no—
563C2×Dic14—41no—
564C7×C4⋊C4—22no—
565C7×C4⋊C4—22no—
566C7×C4⋊C4—22no—
567C7×C4⋊C4—41no—
568C7×C4⋊C4—41no—
569C7×C22⋊C4—22no—
570C7×C22⋊C4—22no—
571C7×C22⋊C4—22no—
572C7×C22⋊C4—22no—
573C7×C22⋊C4—22no—
574C7×C22⋊C4—41no—
575C7×C22⋊C4—41no—
576C7×C22⋊C4—41no—
577C7×C22⋊C4—41no—
578C7×C22⋊C4—41no—
579C7×C22⋊C4—41no—
580C7×C22⋊C4—41no—
581C7×C22⋊C4—41no—
582C7×C22⋊C4C2×D414yes—
583C42×C7—22no—
584C22⋊Dic7—22no—
585C22⋊Dic7—22no—
586C22⋊Dic7—22no—
587C22⋊Dic7—22no—
588C22⋊Dic7—22no—
589C22⋊Dic7—22no—
590C22⋊Dic7—22no—
591C22⋊Dic7—22no—
592C22⋊Dic7—41no—
593C22⋊Dic7—41no—
594C22⋊Dic7—41no—
595C22⋊Dic7—41no—
596C22⋊Dic7—41no—
597C22⋊Dic7—41no—
598C22⋊Dic7—41no—
599C22⋊Dic7—41no—
600C22⋊Dic7—41no—
601C22⋊Dic7C2×D414yes—
602(C2×D7)⋊C4—22no—
603(C2×D7)⋊C4—22no—
604(C2×D7)⋊C4—22no—
605(C2×D7)⋊C4—22no—
606(C2×D7)⋊C4—22no—
607(C2×D7)⋊C4—22no—
608(C2×D7)⋊C4—22no—
609(C2×D7)⋊C4—22no—
610(C2×D7)⋊C4—22no—
611(C2×D7)⋊C4—22no—
612(C2×D7)⋊C4—22no—
613(C2×D7)⋊C4—41no—
614(C2×D7)⋊C4—41no—
615(C2×D7)⋊C4—41no—
616(C2×D7)⋊C4—41no—
617(C2×D7)⋊C4—41no—
618(C2×D7)⋊C4—41no—
619(C2×D7)⋊C4—41no—
620(C2×D7)⋊C4C2×D414yes—
621(C2×D7)⋊C4C2×D414yes—
622C4⋊Dic7—22no—
623C4⋊Dic7—22no—
624C4⋊Dic7—22no—
625C4⋊Dic7—22no—
626C4⋊Dic7—41no—
627C4⋊Dic7—41no—
628C4⋊Dic7—41no—
629C4⋊Dic7—41no—
630C4⋊Dic7—41no—
631Dic7⋊C4—22no—
632Dic7⋊C4—22no—
633Dic7⋊C4—22no—
634Dic7⋊C4—22no—
635Dic7⋊C4—22no—
636Dic7⋊C4—22no—
637Dic7⋊C4—22no—
638Dic7⋊C4—22no—
639Dic7⋊C4—22no—
640Dic7⋊C4—22no—
641Dic7⋊C4—22no—
642Dic7⋊C4—41no—
643Dic7⋊C4—41no—
644Dic7⋊C4—41no—
645Dic7⋊C4—41no—
646Dic7⋊C4—41no—
647Dic7⋊C4—41no—
648Dic7⋊C4—41no—
649C4×Dic7—22no—
650C4×Dic7—22no—
651C4×Dic7—22no—
652C24×C4—71no—
653#538—148no—
654#538—148no—
655C2×#126—71no—
656C2×#126—71no—
657C2×#126—71no—
658C2×#126—71no—
659C2×#124—71no—
660C2×#124—71no—
661C2×#124—71no—
662C2×#124C2×D711yescharacteristic
663C2×#123—71no—
664C2×#123—71no—
665C2×#123—71no—
666C2×#123—71no—
667C2×C22⋊Q8—71no—
668C2×C22⋊Q8—71no—
669C2×C22⋊Q8—71no—
670C2×C22⋊Q8C2×D711yescharacteristic, complemented
671C2×#121—71no—
672C2×#121—71no—
673C2×#121—71no—
674C2×#121—71no—
675C2×#121—71no—
676C2×#121—71no—
677C2×#121—71no—
678C2×#121—71no—
679C2×#121—71no—
680C2×#121—71no—
681C2×#121—71no—
682C2×#121—71no—
683C2×#121—71no—
684C2×#121—71no—
685C2×#121C2×D711yescharacteristic
686C2×#121C2×D711yescharacteristic
687C2×#120—71no—
688C2×#120—71no—
689C2×#120—71no—
690C2×#120—71no—
691C2×C4×D4—71no—
692C2×C4×D4—71no—
693C2×C4×D4—71no—
694C2×C4×D4—71no—
695C22×C4⋊C4—71no—
696C22×C4⋊C4—71no—
697C22×C22⋊C4—71no—
698C22×C22⋊C4—71no—
699#400—71no—
700#400—71no—
701#399—71no—
702#399—71no—
703#398—71no—
704#398—71no—
705#398—71no—
706#398—71no—
707#398—71no—
708#398—71no—
709#397—71no—
710#397—71no—
711#397—71no—
712#397—71no—
713#397—71no—
714#397—71no—
715#396—71no—
716#396—71no—
717#396—71no—
718#396—71no—
719#396—71no—
720#396—71no—
721#396—71no—
722#396C2×D711yescharacteristic, complemented
723#395—71no—
724#395—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#394C2×D711yescharacteristic
738#394C2×D711yescharacteristic, complemented
739#393—71no—
740#393C2×D711yescharacteristic, complemented
741#392—71no—
742#392—71no—
743#392—71no—
744#392—71no—
745#392C2×D711yescharacteristic
746#392C2×D711yescharacteristic, complemented
747#391—71no—
748#391—71no—
749#390—71no—
750#390C2×D711yescharacteristic, complemented
751#389—71no—
752#389—71no—
753#389—71no—
754#389—71no—
755#388—71no—
756#388—71no—
757#388—71no—
758#388—71no—
759#387—71no—
760#387—71no—
761#387—71no—
762#387C2×D711yescharacteristic, complemented
763#386—71no—
764#386—71no—
765#386—71no—
766#386—71no—
767#386—71no—
768#386—71no—
769#386—71no—
770#386—71no—
771#386—71no—
772#386—71no—
773#386—71no—
774#386—71no—
775#386—71no—
776#386—71no—
777#386—71no—
778#386—71no—
779#386—71no—
780#386—71no—
781#386C2×D711yescharacteristic
782#386C2×D711yescharacteristic, complemented
783#385—71no—
784#385—71no—
785#385—71no—
786#385—71no—
787#385—71no—
788#385—71no—
789#385—71no—
790#385—71no—
791#385—71no—
792#385—71no—
793#385—71no—
794#385C2×D711yescharacteristic
795#380—71no—
796#380—71no—
797#380—71no—
798#380—71no—
799#380—71no—
800#380—71no—
801#380—71no—
802#380—71no—
803#380—71no—
804#380—71no—
805#380—71no—
806#380—71no—
807C2×#95—71no—
808C2×#95—71no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—21no—
818C23×C7—21no—
819C23×C7—21no—
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×C7C22×D412yes—
837C23×C7C2511yescharacteristic
838C22×D7—21no—
839C22×D7—21no—
840C22×D7—21no—
841C22×D7—21no—
842C22×D7—21no—
843C22×D7—21no—
844C22×D7—21no—
845C22×D7—21no—
846C22×D7—21no—
847C22×D7—21no—
848C22×D7—28no—
849C22×D7—21no—
850C22×D7—21no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
855C22×D7—21no—
856C22×D7—44no—
857C22×D7—44no—
858C22×D7—44no—
859C22×D7—44no—
860C22×D7—44no—
861C22×D7—44no—
862C22×D7C22×D412yes—
863C22×D7C22×D412yes—
864C22×D7H(5,𝔽2)12yes—
865C22×D72−1+412yes—
866C7×Q8—82no—
867C7×D4—82no—
868C7×D4—82no—
869C7×D4—82no—
870C7×D4—82no—
871C7×D4—82no—
872C7×D4—82no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—21no—
878C2×C4×C7—21no—
879C2×C4×C7—21no—
880C2×C4×C7—21no—
881C2×C4×C7—21no—
882C2×C4×C7—21no—
883C2×C4×C7—21no—
884C2×C4×C7—21no—
885C2×C4×C7—21no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—21no—
892C2×C4×C7—21no—
893C2×C4×C7—21no—
894C2×C4×C7—21no—
895C2×C4×C7—21no—
896C2×C4×C7—21no—
897C2×C4×C7—21no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—21no—
901C2×C4×C7—21no—
902C2×C4×C7—21no—
903C2×C4×C7—44no—
904C2×C4×C7—82no—
905C2×C4×C7C22×D412yes—
906C2×C4×C7C22×D412yes—
907C2×C4×C7H(5,𝔽2)12yes—
908C22⋊D7—44no—
909C22⋊D7—44no—
910C22⋊D7—44no—
911C22⋊D7—82no—
912C22⋊D7—82no—
913C22⋊D7—82no—
914C22⋊D7—82no—
915C22⋊D7—82no—
916C22⋊D7—82no—
917C22⋊D7—82no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—21no—
922C2×Dic7—21no—
923C2×Dic7—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—21no—
928C2×Dic7—21no—
929C2×Dic7—21no—
930C2×Dic7—21no—
931C2×Dic7—21no—
932C2×Dic7—21no—
933C2×Dic7—21no—
934C2×Dic7—21no—
935C2×Dic7—21no—
936C2×Dic7—21no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—21no—
940C2×Dic7—21no—
941C2×Dic7—21no—
942C2×Dic7—21no—
943C2×Dic7—21no—
944C2×Dic7—21no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—44no—
955C2×Dic7—82no—
956C2×Dic7—82no—
957C2×Dic7C22×D412yes—
958C2×Dic7C22×D412yes—
959C2×Dic7H(5,𝔽2)12yes—
960D28—44no—
961D28—82no—
962C4×D7—44no—
963C4×D7—44no—
964C4×D7—44no—
965C4×D7—44no—
966C4×D7—44no—
967C4×D7—44no—
968C4×D7—82no—
969C4×D7—82no—
970C4×D7—82no—
971Dic14—82no—
972C25—71no—
973C22×Q8—71no—
974C22×Q8C22×D711yescharacteristic
975C22×D4—71no—
976C22×D4—71no—
977C22×D4—71no—
978C22×D4—71no—
979C22×D4—71no—
980C22×D4—71no—
981C22×D4—71no—
982C22×D4—71no—
983C22×D4—71no—
984C22×D4—71no—
985C22×D4—71no—
986C22×D4—71no—
987C22×D4C22×D711yescharacteristic
988C22×D4C22×D711yescharacteristic
989C22×D4C22×D711yescharacteristic
990C22×D4C22×D711yescharacteristic
991C22×D4C22×D711yescharacteristic
992C22×D4C22×D711yescharacteristic
993C23×C4—71no—
994C23×C4—71no—
995C23×C4—71no—
996C23×C4—71no—
997C23×C4—71no—
998C23×C4—71no—
999C23×C4—71no—
1000C23×C4—71no—
1001C23×C4—71no—
1002C23×C4—71no—
1003C23×C4—71no—
1004C23×C4—71no—
1005C23×C4—282no—
1006C23×C4—282no—
1007C23×C4—282no—
1008C23×C4C22×D711yescharacteristic
1009C23×C4C22×D711yescharacteristic
1010#126—144no—
1011#126—144no—
1012#126—144no—
1013#126—144no—
1014#124—24no—
1015#124—144no—
1016#124—144no—
1017#124—144no—
1018#123—144no—
1019#123—144no—
1020#123—144no—
1021#123—144no—
1022C22⋊Q8—42no—
1023C22⋊Q8—144no—
1024C22⋊Q8—144no—
1025C22⋊Q8—282no—
1026#121—24no—
1027#121—42no—
1028#121—144no—
1029#121—144no—
1030#121—144no—
1031#121—144no—
1032#121—144no—
1033#121—282no—
1034#121—282no—
1035#121—282no—
1036#121—282no—
1037#121—282no—
1038#121—282no—
1039#121—282no—
1040#121—282no—
1041#121—282no—
1042#120—144no—
1043#120—144no—
1044#120—144no—
1045#120—144no—
1046C4×D4—144no—
1047C4×D4—144no—
1048C4×D4—144no—
1049C4×D4—144no—
1050C2×C4⋊C4—71no—
1051C2×C4⋊C4—71no—
1052C2×C4⋊C4—71no—
1053C2×C4⋊C4—71no—
1054C2×C4⋊C4—71no—
1055C2×C4⋊C4—71no—
1056C2×C4⋊C4—71no—
1057C2×C4⋊C4—71no—
1058C2×C4⋊C4—71no—
1059C2×C4⋊C4—71no—
1060C2×C4⋊C4—71no—
1061C2×C4⋊C4—71no—
1062C2×C4⋊C4—71no—
1063C2×C4⋊C4—71no—
1064C2×C4⋊C4—71no—
1065C2×C4⋊C4—71no—
1066C2×C4⋊C4—71no—
1067C2×C4⋊C4—71no—
1068C2×C4⋊C4—71no—
1069C2×C4⋊C4—71no—
1070C2×C4⋊C4—71no—
1071C2×C4⋊C4—71no—
1072C2×C4⋊C4—71no—
1073C2×C4⋊C4—71no—
1074C2×C4⋊C4—71no—
1075C2×C4⋊C4—71no—
1076C2×C4⋊C4—71no—
1077C2×C4⋊C4—282no—
1078C2×C4⋊C4—282no—
1079C2×C4⋊C4C22×D711yescharacteristic
1080C2×C4⋊C4C22×D711yescharacteristic
1081C2×C4⋊C4C22×D711yescharacteristic
1082C2×C4⋊C4C22×D711yescharacteristic
1083C2×C4⋊C4C22×D711yescharacteristic
1084C2×C22⋊C4—71no—
1085C2×C22⋊C4—71no—
1086C2×C22⋊C4—71no—
1087C2×C22⋊C4—78no—
1088C2×C22⋊C4—71no—
1089C2×C22⋊C4—71no—
1090C2×C22⋊C4—71no—
1091C2×C22⋊C4—71no—
1092C2×C22⋊C4—71no—
1093C2×C22⋊C4—71no—
1094C2×C22⋊C4—71no—
1095C2×C22⋊C4—71no—
1096C2×C22⋊C4—71no—
1097C2×C22⋊C4—71no—
1098C2×C22⋊C4—71no—
1099C2×C22⋊C4—71no—
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—282no—
1124C2×C22⋊C4C22×D711yescharacteristic
1125C2×C22⋊C4C22×D711yescharacteristic
1126C2×C22⋊C4C22×D711yescharacteristic
1127C2×C22⋊C4C22×D711yescharacteristic
1128C2×C22⋊C4C22×D711yescharacteristic
1129C2×C22⋊C4C22×D711yescharacteristic
1130C2×C22⋊C4C22×D711yescharacteristic
1131C2×C22⋊C4C22×D711yescharacteristic
1132C2×C22⋊C4C22×D711yescharacteristic
1133C2×C22⋊C4C22×D711yescharacteristic
1134C2×C22⋊C4C22×D711yescharacteristic
1135C2×C22⋊C4C22×D711yescharacteristic
1136C2×C22⋊C4C22×D711yescharacteristic
1137C2×C22⋊C4C22×D711yescharacteristic
1138C2×C42—71no—
1139C2×C42—71no—
1140C2×C42—71no—
1141C2×C42C22×D711yescharacteristic
1142#95—71no—
1143#95—71no—
1144#95—71no—
1145#95—71no—
1146#95—71no—
1147#95—71no—
1148#95—71no—
1149#95—71no—
1150#95—71no—
1151#95—71no—
1152#95—71no—
1153#95—71no—
1154#95—71no—
1155#95—71no—
1156#95—71no—
1157#95—71no—
1158#95—71no—
1159#95—71no—
1160#95—71no—
1161#95—71no—
1162#95—71no—
1163#95—71no—
1164#95—71no—
1165#95—71no—
1166#95—71no—
1167#95—71no—
1168#95C22×D711yescharacteristic
1169#95C22×D711yescharacteristic
1170#95C22×D711yescharacteristic
1171#95C22×D711yescharacteristic
1172#95C22×D711yescharacteristic
1173#95C22×D711yescharacteristic
1174C22×C7—22no—
1175C22×C7—22no—
1176C22×C7—22no—
1177C22×C7—41no—
1178C22×C7—41no—
1179C22×C7—41no—
1180C22×C7—41no—
1181C22×C7—41no—
1182C22×C7—41no—
1183C22×C7—41no—
1184C22×C7—41no—
1185C22×C7—41no—
1186C22×C7—41no—
1187C22×C7—41no—
1188C22×C7—41no—
1189C22×C7—41no—
1190C22×C7—41no—
1191C22×C7—41no—
1192C22×C7—41no—
1193C22×C7—41no—
1194C22×C7—41no—
1195C22×C7—41no—
1196C22×C7—41no—
1197C22×C7—41no—
1198C22×C7—41no—
1199C22×C7—41no—
1200C22×C7—41no—
1201C22×C7—41no—
1202C22×C7C23×D411yescharacteristic
1203C22×C7C2×H(5,𝔽2)11yescharacteristic
1204C22×C7C2×H(5,𝔽2)11yescharacteristic
1205C22×C7C2×H(5,𝔽2)11yescharacteristic
1206C22×C7C2×2−1+411yescharacteristic
1207C22×C7#58511yescharacteristic
1208C22×C7#58511yescharacteristic
1209C2×D7—22no—
1210C2×D7—22no—
1211C2×D7—22no—
1212C2×D7—22no—
1213C2×D7—22no—
1214C2×D7—22no—
1215C2×D7—22no—
1216C2×D7—22no—
1217C2×D7—22no—
1218C2×D7—416no—
1219C2×D7—41no—
1220C2×D7—41no—
1221C2×D7—41no—
1222C2×D7—41no—
1223C2×D7—41no—
1224C2×D7—41no—
1225C2×D7—41no—
1226C2×D7—41no—
1227C2×D7—41no—
1228C2×D7—41no—
1229C2×D7—41no—
1230C2×D7#53714yes—
1231C4×C7—22no—
1232C4×C7—22no—
1233C4×C7—22no—
1234C4×C7—41no—
1235C4×C7—41no—
1236C4×C7—41no—
1237C4×C7—41no—
1238C4×C7—41no—
1239C4×C7—41no—
1240C4×C7—41no—
1241C4×C7—41no—
1242Dic7—22no—
1243Dic7—22no—
1244Dic7—22no—
1245Dic7—41no—
1246Dic7—41no—
1247Dic7—41no—
1248Dic7—41no—
1249Dic7—41no—
1250Dic7—41no—
1251Dic7—41no—
1252Dic7—41no—
1253Dic7—41no—
1254Dic7—41no—
1255C24—71no—
1256C24—71no—
1257C24—74no—
1258C24—71no—
1259C24—142no—
1260C24—142no—
1261C24—281no—
1262C24—281no—
1263C24—281no—
1264C24—281no—
1265C24C23×D711yescharacteristic
1266C24C23×D711yescharacteristic
1267C24C23×D711yescharacteristic
1268C24C23×D711yescharacteristic
1269C2×Q8—22no—
1270C2×Q8—41no—
1271C2×Q8—41no—
1272C2×Q8—142no—
1273C2×Q8—281no—
1274C2×Q8—281no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—142no—
1294C2×D4—142no—
1295C2×D4—142no—
1296C2×D4—142no—
1297C2×D4—142no—
1298C2×D4—142no—
1299C2×D4—142no—
1300C2×D4—142no—
1301C2×D4—142no—
1302C2×D4—142no—
1303C2×D4—142no—
1304C2×D4—142no—
1305C2×D4—142no—
1306C2×D4—142no—
1307C2×D4—142no—
1308C2×D4—142no—
1309C2×D4—142no—
1310C2×D4—142no—
1311C2×D4—142no—
1312C2×D4—281no—
1313C2×D4—281no—
1314C2×D4—281no—
1315C2×D4—281no—
1316C2×D4—281no—
1317C2×D4—281no—
1318C2×D4—281no—
1319C2×D4—281no—
1320C2×D4—281no—
1321C2×D4—281no—
1322C2×D4—281no—
1323C2×D4—281no—
1324C2×D4—281no—
1325C2×D4—281no—
1326C2×D4—281no—
1327C2×D4—281no—
1328C2×D4—281no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—71no—
1336C22×C4—71no—
1337C22×C4—71no—
1338C22×C4—74no—
1339C22×C4—74no—
1340C22×C4—71no—
1341C22×C4—71no—
1342C22×C4—71no—
1343C22×C4—71no—
1344C22×C4—71no—
1345C22×C4—71no—
1346C22×C4—71no—
1347C22×C4—71no—
1348C22×C4—71no—
1349C22×C4—71no—
1350C22×C4—142no—
1351C22×C4—142no—
1352C22×C4—142no—
1353C22×C4—142no—
1354C22×C4—142no—
1355C22×C4—142no—
1356C22×C4—142no—
1357C22×C4—142no—
1358C22×C4—142no—
1359C22×C4—142no—
1360C22×C4—142no—
1361C22×C4—142no—
1362C22×C4—281no—
1363C22×C4—281no—
1364C22×C4—281no—
1365C22×C4—281no—
1366C22×C4—281no—
1367C22×C4—281no—
1368C22×C4—281no—
1369C22×C4—281no—
1370C22×C4—281no—
1371C22×C4—281no—
1372C22×C4—281no—
1373C22×C4—281no—
1374C22×C4—281no—
1375C22×C4—281no—
1376C22×C4—281no—
1377C22×C4—281no—
1378C22×C4—2816no—
1379C22×C4—281no—
1380C22×C4—281no—
1381C22×C4—281no—
1382C22×C4—281no—
1383C22×C4—281no—
1384C22×C4—281no—
1385C22×C4C23×D711yescharacteristic
1386C22×C4C23×D711yescharacteristic
1387C22×C4C23×D711yescharacteristic
1388C22×C4C23×D711yescharacteristic
1389C22×C4C23×D711yescharacteristic
1390C22×C4C23×D711yescharacteristic
1391C22×C4C23×D711yescharacteristic
1392C22×C4C23×D711yescharacteristic
1393C22×C4C23×D711yescharacteristic
1394C22×C4C23×D711yescharacteristic
1395C22×C4C23×D711yescharacteristic
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—142no—
1402C4⋊C4—142no—
1403C4⋊C4—142no—
1404C4⋊C4—142no—
1405C4⋊C4—142no—
1406C4⋊C4—142no—
1407C4⋊C4—142no—
1408C4⋊C4—142no—
1409C4⋊C4—142no—
1410C4⋊C4—142no—
1411C4⋊C4—142no—
1412C4⋊C4—142no—
1413C4⋊C4—142no—
1414C4⋊C4—142no—
1415C4⋊C4—142no—
1416C4⋊C4—281no—
1417C4⋊C4—281no—
1418C4⋊C4—281no—
1419C4⋊C4—281no—
1420C4⋊C4—281no—
1421C4⋊C4—281no—
1422C4⋊C4—281no—
1423C4⋊C4—281no—
1424C4⋊C4—281no—
1425C4⋊C4—281no—
1426C4⋊C4—281no—
1427C4⋊C4—281no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—74no—
1442C22⋊C4—74no—
1443C22⋊C4—74no—
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—142no—
1453C22⋊C4—142no—
1454C22⋊C4—142no—
1455C22⋊C4—142no—
1456C22⋊C4—142no—
1457C22⋊C4—142no—
1458C22⋊C4—142no—
1459C22⋊C4—142no—
1460C22⋊C4—142no—
1461C22⋊C4—142no—
1462C22⋊C4—142no—
1463C22⋊C4—281no—
1464C22⋊C4—281no—
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⋊C4—281no—
1474C22⋊C4—281no—
1475C22⋊C4—281no—
1476C22⋊C4—281no—
1477C22⋊C4—281no—
1478C22⋊C4—281no—
1479C22⋊C4D4×D714yes—
1480C42—22no—
1481C42—142no—
1482C42—142no—
1483C42—142no—
1484C2×C7—42no—
1485C2×C7—81no—
1486C2×C7—81no—
1487C2×C7—81no—
1488C2×C7C2×#53711yescharacteristic
1489C2×C7#349611yescharacteristic
1490C2×C7#349611yescharacteristic
1491C2×C7#353211yescharacteristic
1492C2×C7#353311yescharacteristic
1493C2×C7#354111yescharacteristic
1494C2×C7#354111yescharacteristic
1495D7—24no—
1496D7—42no—
1497D7—81no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—72no—
1526C23—72no—
1527C23—72no—
1528C23—72no—
1529C23—148no—
1530C23—141no—
1531C23—141no—
1532C23—141no—
1533C23—141no—
1534C23—141no—
1535C23—141no—
1536C23—141no—
1537C23—141no—
1538C23—141no—
1539C23—141no—
1540C23—141no—
1541C23—141no—
1542C23—141no—
1543C23—141no—
1544C23—141no—
1545C23—141no—
1546C23—141no—
1547C23—284no—
1548C23—284no—
1549C23—284no—
1550C23—284no—
1551C23—284no—
1552C23—284no—
1553C23C2×D4×D712yes—
1554C23C24×D711yescharacteristic
1555Q8—82no—
1556Q8—562no—
1557D4—82no—
1558D4—82no—
1559D4—82no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—284no—
1564D4—284no—
1565D4—284no—
1566D4—284no—
1567D4—562no—
1568D4—562no—
1569D4—562no—
1570D4—562no—
1571D4—562no—
1572D4—562no—
1573D4—562no—
1574D4—562no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—44no—
1606C2×C4—72no—
1607C2×C4—72no—
1608C2×C4—72no—
1609C2×C4—82no—
1610C2×C4—141no—
1611C2×C4—141no—
1612C2×C4—141no—
1613C2×C4—141no—
1614C2×C4—141no—
1615C2×C4—141no—
1616C2×C4—141no—
1617C2×C4—141no—
1618C2×C4—141no—
1619C2×C4—141no—
1620C2×C4—141no—
1621C2×C4—141no—
1622C2×C4—141no—
1623C2×C4—141no—
1624C2×C4—141no—
1625C2×C4—141no—
1626C2×C4—141no—
1627C2×C4—141no—
1628C2×C4—141no—
1629C2×C4—141no—
1630C2×C4—141no—
1631C2×C4—141no—
1632C2×C4—141no—
1633C2×C4—141no—
1634C2×C4—141no—
1635C2×C4—141no—
1636C2×C4—141no—
1637C2×C4—141no—
1638C2×C4—141no—
1639C2×C4—141no—
1640C2×C4—141no—
1641C2×C4—141no—
1642C2×C4—141no—
1643C2×C4—141no—
1644C2×C4—141no—
1645C2×C4—141no—
1646C2×C4—284no—
1647C2×C4—284no—
1648C2×C4—284no—
1649C2×C4—284no—
1650C2×C4—284no—
1651C2×C4—284no—
1652C2×C4—284no—
1653C2×C4—562no—
1654C2×C4—562no—
1655C2×C4—562no—
1656C2×C4—562no—
1657C2×C4—562no—
1658C2×C4C2×D4×D712yes—
1659C2×C4C2×D4×D712yes—
1660C2×C4#654812yes—
1661C7#3673811yescharacteristic, complemented, Sylow
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—74no—
1691C22—142no—
1692C22—142no—
1693C22—142no—
1694C22—142no—
1695C22—142no—
1696C22—142no—
1697C22—142no—
1698C22—142no—
1699C22—142no—
1700C22—2816no—
1701C22—281no—
1702C22—281no—
1703C22—281no—
1704C22—281no—
1705C22—281no—
1706C22—281no—
1707C22—281no—
1708C22—281no—
1709C22—281no—
1710C22—281no—
1711C22—281no—
1712C22C22×D4×D711yescharacteristic
1713C22C2×#654811yescharacteristic
1714C22#9061611yescharacteristic
1715C22D7×H(5,𝔽2)11yescharacteristic
1716C22D7×H(5,𝔽2)11yescharacteristic
1717C22#9061811yescharacteristic
1718C22D7×2−1+411yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—142no—
1731C4—142no—
1732C4—142no—
1733C4—281no—
1734C4—281no—
1735C4—281no—
1736C4—281no—
1737C4—281no—
1738C4—281no—
1739C4—281no—
1740C4—281no—
1741C4—281no—
1742C4—281no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—81no—
1747C2—144no—
1748C2—282no—
1749C2—561no—
1750C2#1174340111yescharacteristic
1751C2D7×#53711yescharacteristic
1752C2#1174348711yescharacteristic
1753C2#1174368911yescharacteristic
1754C2#1174373311yescharacteristic
1755C2#1174379411yescharacteristic
1756C2#1174416411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2676C2
hypercenter#2676D7
hypocenterC7#36738
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2676

Complements

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

NH ≅ G/Ntype
1. C2×#90369C2semidirect
2. C2×#90304C2semidirect
3. C7×#2676C2semidirect
4. #11740433C2semidirect
5. #11740271C2semidirect
6. #11740197C2semidirect
7. #11740168C2semidirect
8. #11740161C2semidirect
9. #11740126C2semidirect
10. #11734880C2semidirect
11. #11734730C2semidirect
12. #11734568C2semidirect
13. #11734461C2semidirect
14. #11734446C2semidirect
15. #11734343C2semidirect
16. #11734314C2semidirect
17. #11734274C2semidirect
18. #11734215C2semidirect
19. #11734206C2semidirect
20. #11734204C2semidirect
21. #11734159C2semidirect
22. #11733884C2semidirect
23. #11733826C2semidirect
24. #11732805C2semidirect
25. #11732618C2semidirect
26. #11732380C2semidirect
27. #11732347C2semidirect
28. #11732269C2semidirect
29. #11732249C2semidirect
30. D7×#385C2semidirect
31. #11731965C2semidirect
34. C2×C7×C22⋊Q8C22semidirect
42. C2×#6502C22semidirect
47. C2×#6501C22semidirect
76. C2×#6441C22semidirect
79. C7×#396C22semidirect
81. C7×#394C22semidirect
82. C7×#393C22semidirect
84. C7×#392C22semidirect
85. C7×#390C22semidirect
86. C7×#387C22semidirect
88. C7×#386C22semidirect
90. #90002C22semidirect
91. #90001C22semidirect
94. #89995C22semidirect
97. #89994C22semidirect
100. #89992C22semidirect
101. #89992C22semidirect
103. #89985C22semidirect
105. #89984C22semidirect
107. #89766C22semidirect
108. #89764C22semidirect
112. #89761C22semidirect
116. #89759C22semidirect
117. #89757C22semidirect
118. #89756C22semidirect
119. #89755C22semidirect
120. #89752C22semidirect
121. #89752C22semidirect
122. #89744C22semidirect
125. #89733C22semidirect
129. #89731C22semidirect
130. #89731C22semidirect
131. #89731C22semidirect
132. #89729C22semidirect
143. #89725C22semidirect
145. #89724C22semidirect
146. #89723C22semidirect
147. #89723C22semidirect
149. #89721C22semidirect
150. #89720C22semidirect
151. #89720C22semidirect
152. #89720C22semidirect
153. #89720C22semidirect
154. #89720C22semidirect
155. #89720C22semidirect
157. #89718C22semidirect
158. #89718C22semidirect
159. #89716C22semidirect
161. #89714C22semidirect
162. #89714C22semidirect
163. #89705C22semidirect
164. #89700C22semidirect
167. #89445C22semidirect
168. #89442C22semidirect
171. #89440C22semidirect
180. #89433C22semidirect
181. #89432C22semidirect
182. #89431C22semidirect
183. #89429C22semidirect
184. #89428C22semidirect
185. #89424C22semidirect
186. #89424C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
354. D7×C22⋊C4D4semidirect
406. #2676D7semidirect
670. C2×C22⋊Q8C2×D7semidirect
722. #396C2×D7semidirect
738. #394C2×D7semidirect
740. #393C2×D7semidirect
746. #392C2×D7semidirect
750. #390C2×D7semidirect
762. #387C2×D7semidirect
782. #386C2×D7semidirect
1661. C7#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#903692
C2×#903042
C7×#26762
#117404332
#117402712
#117401972
#117401682
#117401612
#117401262
#117348802
#117347302
#117345682
#117344612
#117344462
#117343432
#117343142
#117342742
#117342152
#117342062
#117342042
#117341592
#117338842
#117338262
#117328052
#117326182
#117323802
#117323472
#117322692
#117322492
D7×#3852
#117319652
#367387