Finite Group Databasebeta

← #13560878

Subgroups — #13560878

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×#90297C211yesmaximal, characteristic, complemented
2C2×#90284C211yesmaximal, characteristic, complemented
3C7×#2669C211yesmaximal, characteristic, complemented
4#11740635C211yesmaximal, characteristic, complemented
5#11740623C211yesmaximal, characteristic, complemented
6#11740168C211yesmaximal, characteristic, complemented
7#11740130C211yesmaximal, characteristic, complemented
8#11740127C211yesmaximal, characteristic, complemented
9#11740055C211yesmaximal, characteristic, complemented
10#11740055C211yesmaximal, characteristic, complemented
11#11740042C211yesmaximal, characteristic, complemented
12#11740035C211yesmaximal, characteristic, complemented
13#11740026C211yesmaximal, characteristic, complemented
14#11734584C211yesmaximal, characteristic, complemented
15#11734469C211yesmaximal, characteristic, complemented
16#11734419C211yesmaximal, characteristic, complemented
17#11734414C211yesmaximal, characteristic, complemented
18#11734216C211yesmaximal, characteristic, complemented
19#11734211C211yesmaximal, characteristic, complemented
20#11734165C211yesmaximal, characteristic, complemented
21#11734161C211yesmaximal, characteristic, complemented
22#11734148C211yesmaximal, characteristic, complemented
23#11734140C211yesmaximal, characteristic, complemented
24#11734138C211yesmaximal, characteristic, complemented
25#11734113C211yesmaximal, characteristic, complemented
26#11733370C211yesmaximal, characteristic, complemented
27#11733115C211yesmaximal, characteristic, complemented
28#11733089C211yesmaximal, characteristic, complemented
29#11732903C211yesmaximal, characteristic, complemented
30#11732381C211yesmaximal, characteristic, complemented
31#11732257C211yesmaximal, characteristic, complemented
32C22×#1159C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic, complemented
34C2×C7×#127C2211yescharacteristic
35C2×C7×#121C2211yescharacteristic
36C2×C7×#121C2211yescharacteristic
37C2×C7×#120C2211yescharacteristic
38C2×C7×#120C2211yescharacteristic, complemented
39C2×C7×#120C2211yescharacteristic, complemented
40C2×#6516C2211yescharacteristic
41C2×#6516C2211yescharacteristic
42C22×C22⋊Dic7C2211yescharacteristic, complemented
43C2×#6502C2211yescharacteristic
44C2×#6502C2211yescharacteristic
45C2×#6502C2211yescharacteristic, complemented
46C2×#6501C2211yescharacteristic
47C2×#6501C2211yescharacteristic
48C2×#6501C2211yescharacteristic
49C2×#6500C2211yescharacteristic
50C2×#6500C2211yescharacteristic
51C2×#6500C2211yescharacteristic
52C2×#6500C2211yescharacteristic, complemented
53C2×#6500C2211yescharacteristic, complemented
54C2×#6499C2211yescharacteristic, complemented
55C2×#6499C2211yescharacteristic, complemented
56C2×#6498C2211yescharacteristic
57C2×#6498C2211yescharacteristic, complemented
58C2×D4×Dic7C2211yescharacteristic
59C2×D4×Dic7C2211yescharacteristic, complemented
60C2×D4×Dic7C2211yescharacteristic, complemented
61C2×#6487C2211yescharacteristic, complemented
62#90297—28no—
63#90284—28no—
64C2×#6460C2211yescharacteristic, complemented
65C2×#6455C2211yescharacteristic, complemented
66C2×#6448C2211yescharacteristic
67C2×#6446C2211yescharacteristic
68C2×#6446C2211yescharacteristic
69C2×#6446C2211yescharacteristic
70C2×#6446C2211yescharacteristic, complemented
71C2×(C22⋊D7)⋊C4C2211yescharacteristic
72C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
73C2×#6442C2211yescharacteristic, complemented
74C2×#6442C2211yescharacteristic, complemented
75C2×#6441C2211yescharacteristic, complemented
76C2×#6441C2211yescharacteristic, complemented
77C7×#394C2211yescharacteristic, complemented
78C7×#394C2211yescharacteristic, complemented
79C7×#392C2211yescharacteristic
80C7×#392C2211yescharacteristic
81C7×#392C2211yescharacteristic, complemented
82C7×#392C2211yescharacteristic, complemented
83C7×#388C2211yescharacteristic, complemented
84C7×#388C2211yescharacteristic, complemented
85C7×#386C2211yescharacteristic
86#90019C2211yescharacteristic, complemented
87#89995C2211yescharacteristic
88#89995C2211yescharacteristic
89#89995C2211yescharacteristic
90#89995C2211yescharacteristic
91#89995C2211yescharacteristic
92#89995C2211yescharacteristic
93#89995C2211yescharacteristic, complemented
94#89994C2211yescharacteristic
95#89994C2211yescharacteristic
96#89994C2211yescharacteristic
97#89994C2211yescharacteristic
98#89994C2211yescharacteristic, complemented
99#89994C2211yescharacteristic, complemented
100#89994C2211yescharacteristic, complemented
101#89994C2211yescharacteristic, complemented
102#89994C2211yescharacteristic, complemented
103#89994C2211yescharacteristic, complemented
104#89994C2211yescharacteristic, complemented
105#89993C2211yescharacteristic
106#89993C2211yescharacteristic, complemented
107#89993C2211yescharacteristic, complemented
108#89992C2211yescharacteristic
109#89992C2211yescharacteristic
110#89992C2211yescharacteristic, complemented
111#89992C2211yescharacteristic, complemented
112#89992C2211yescharacteristic, complemented
113#89992C2211yescharacteristic, complemented
114#89992C2211yescharacteristic, complemented
115#89992C2211yescharacteristic, complemented
116#89984C2211yescharacteristic, complemented
117#89982C2211yescharacteristic, complemented
118#89759C2211yescharacteristic, complemented
119#89759C2211yescharacteristic, complemented
120#89755C2211yescharacteristic, complemented
121#89751C2211yescharacteristic, complemented
122#89744C2211yescharacteristic, complemented
123#89744C2211yescharacteristic, complemented
124#89733C2211yescharacteristic
125#89733C2211yescharacteristic
126#89731C2211yescharacteristic
127#89731C2211yescharacteristic
128#89731C2211yescharacteristic, complemented
129#89731C2211yescharacteristic, complemented
130#89730C2211yescharacteristic
131#89729C2211yescharacteristic
132#89729C2211yescharacteristic
133#89729C2211yescharacteristic
134#89729C2211yescharacteristic
135#89729C2211yescharacteristic, complemented
136#89729C2211yescharacteristic, complemented
137#89728C2211yescharacteristic
138#89728C2211yescharacteristic
139#89728C2211yescharacteristic
140#89728C2211yescharacteristic
141#89728C2211yescharacteristic, complemented
142#89728C2211yescharacteristic, complemented
143#89727C2211yescharacteristic, complemented
144#89725C2211yescharacteristic, complemented
145#89725C2211yescharacteristic, complemented
146#89723C2211yescharacteristic, complemented
147#89723C2211yescharacteristic, complemented
148#89723C2211yescharacteristic, complemented
149#89722C2211yescharacteristic, complemented
150#89722C2211yescharacteristic, complemented
151#89722C2211yescharacteristic, complemented
152#89721C2211yescharacteristic, complemented
153#89720C2211yescharacteristic, complemented
154#89720C2211yescharacteristic, complemented
155#89720C2211yescharacteristic, complemented
156#89720C2211yescharacteristic, complemented
157#89720C2211yescharacteristic, complemented
158#89719C2211yescharacteristic, complemented
159#89719C2211yescharacteristic, complemented
160#89717C2211yescharacteristic, complemented
161#89717C2211yescharacteristic, complemented
162#89717C2211yescharacteristic, complemented
163#89717C2211yescharacteristic, complemented
164#89716C2211yescharacteristic, complemented
165#89716C2211yescharacteristic, complemented
166#89715C2211yescharacteristic, complemented
167#89715C2211yescharacteristic, complemented
168#89714C2211yescharacteristic, complemented
169#89712C2211yescharacteristic, complemented
170#89712C2211yescharacteristic, complemented
171C4×Dic7⋊C4C2211yescharacteristic, complemented
172#89701C2211yescharacteristic, complemented
173#89448C2211yescharacteristic, complemented
174#89447C2211yescharacteristic, complemented
175#89445C2211yescharacteristic, complemented
176#89441C2211yescharacteristic, complemented
177#89440C2211yescharacteristic, complemented
178#89440C2211yescharacteristic, complemented
179#89436C2211yescharacteristic, complemented
180#89436C2211yescharacteristic, complemented
181#89433C2211yescharacteristic, complemented
182#89431C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89427C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, 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
199C22×C7×D4C2311yescharacteristic
200C22×C7×D4C2311yescharacteristic
201C22×C7×D4C2311yescharacteristic
202C22×C7×D4C2311yescharacteristic
203C22×C7×D4C2311yescharacteristic
204C23×C4×C7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C22×C22⋊D7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C23×Dic7C2311yescharacteristic
219C23×Dic7C2311yescharacteristic
220C2×#1159—24no—
221C2×#1159—42no—
222C2×#1159—42no—
223C22×C4×D7—24no—
224C22×C4×D7—42no—
225C22×C4×D7—42no—
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×Dic14C2311yescharacteristic
231C22×Dic14C2311yescharacteristic
232C7×#127—42no—
233C7×#121—24no—
234C7×#121—42no—
235C7×#120—24no—
236C7×#120—42no—
237C7×#120—42no—
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
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C7×C22⋊C4C2311yescharacteristic
254C2×C42×C7C2311yescharacteristic
255#6516—24no—
256#6516—42no—
257C2×C22⋊Dic7—24no—
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
280C2×C22⋊Dic7C2311yescharacteristic
281C2×C22⋊Dic7C2311yescharacteristic
282C2×C22⋊Dic7C2311yescharacteristic
283C2×C22⋊Dic7C2311yescharacteristic
284C2×C22⋊Dic7C2311yescharacteristic
285C2×C22⋊Dic7C2311yescharacteristic
286C2×C22⋊Dic7C2311yescharacteristic
287C2×C22⋊Dic7C2311yescharacteristic
288C2×C22⋊Dic7C2311yescharacteristic
289C2×C22⋊Dic7C2311yescharacteristic
290#6502—24no—
291#6502—24no—
292#6502—42no—
293#6501—24no—
294#6501—24no—
295#6501—42no—
296#6500—24no—
297#6500—24no—
298#6500—42no—
299#6500—42no—
300#6500—42no—
301#6499—24no—
302#6499—42no—
303#6498—24no—
304#6498—42no—
305D4×Dic7—24no—
306D4×Dic7—24no—
307D4×Dic7—24no—
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×C4⋊Dic7C2311yescharacteristic
323C2×C4⋊Dic7C2311yescharacteristic
324C2×C4⋊Dic7C2311yescharacteristic
325C2×C4⋊Dic7C2311yescharacteristic
326C2×C4⋊Dic7C2311yescharacteristic
327C2×C4⋊Dic7C2311yescharacteristic
328C2×C4⋊Dic7C2311yescharacteristic
329C2×C4⋊Dic7C2311yescharacteristic
330#6487—24no—
331C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
346C2×C4×Dic7C2311yescharacteristic
347C2×C4×Dic7C2311yescharacteristic
348C2×C4×Dic7C2311yescharacteristic
349C2×C4×Dic7C2311yescharacteristic
350C2×C4×Dic7C2311yescharacteristic
351#6460—24no—
352#6455—24no—
353#6448—24no—
354#6446—24no—
355#6446—24no—
356#6446—24no—
357#6446—42no—
358(C22⋊D7)⋊C4—24no—
359(C22⋊D7)⋊C4D418yescomplemented
360#6442—24no—
361#6442—24no—
362#6441—24no—
363#6441—42no—
364C7×#95C2311yescharacteristic
365C7×#95C2311yescharacteristic
366C7×#95C2311yescharacteristic
367C7×#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#538—71no—
393C2×#525—71no—
394#2849—71no—
395#2847—71no—
396#2705—71no—
397#2702—71no—
398#2700—71no—
399#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#2669D711yescharacteristic, complemented
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—41no—
425C24×C7—41no—
426C24×C7—41no—
427C24×C7—41no—
428C24×C7—41no—
429C24×C7—41no—
430C24×C7C2411yescharacteristic
431C24×C7C2411yescharacteristic
432C24×C7C2411yescharacteristic
433C24×C7C2411yescharacteristic
434C24×C7C2411yescharacteristic
435C24×C7C2411yescharacteristic
436C23×D7—22no—
437C23×D7—22no—
438C23×D7—22no—
439C23×D7—41no—
440C23×D7—41no—
441C23×D7—41no—
442C23×D7—41no—
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—22no—
453C2×C7×D4—22no—
454C2×C7×D4—22no—
455C2×C7×D4—22no—
456C2×C7×D4—22no—
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—
466C2×C7×D4—41no—
467C2×C7×D4—41no—
468C2×C7×D4—41no—
469C2×C7×D4—41no—
470C2×C7×D4—41no—
471C2×C7×D4—41no—
472C2×C7×D4—41no—
473C2×C7×D4—41no—
474C2×C7×D4—41no—
475C2×C7×D4—41no—
476C2×C7×D4—41no—
477C2×C7×D4—41no—
478C2×C7×D4—41no—
479C2×C7×D4—41no—
480C2×C7×D4—41no—
481C22×C4×C7—22no—
482C22×C4×C7—22no—
483C22×C4×C7—41no—
484C22×C4×C7C2411yescharacteristic
485C22×C4×C7C2411yescharacteristic
486C22×C4×C7C2411yescharacteristic
487C22×C4×C7C2411yescharacteristic
488C22×C4×C7C2411yescharacteristic
489C22×C4×C7C2411yescharacteristic
490C22×C4×C7C2411yescharacteristic
491C22×C4×C7C2411yescharacteristic
492C22×C4×C7C2411yescharacteristic
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—41no—
505C2×C22⋊D7—41no—
506C2×C22⋊D7—41no—
507C2×C22⋊D7—41no—
508C2×C22⋊D7—41no—
509C2×C22⋊D7—41no—
510C2×C22⋊D7—41no—
511C2×C22⋊D7—41no—
512C2×C22⋊D7—41no—
513C2×C22⋊D7—41no—
514C2×C22⋊D7—41no—
515C2×C22⋊D7—41no—
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⋊D7C2×D414yes—
523C22×Dic7—22no—
524C22×Dic7—22no—
525C22×Dic7—22no—
526C22×Dic7—22no—
527C22×Dic7—41no—
528C22×Dic7—41no—
529C22×Dic7—41no—
530C22×Dic7—41no—
531C22×Dic7—41no—
532C22×Dic7—41no—
533C22×Dic7—41no—
534C22×Dic7—41no—
535C22×Dic7—41no—
536C22×Dic7—41no—
537C22×Dic7C2×D414yes—
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545C22×Dic7C2411yescharacteristic
546C22×Dic7C2411yescharacteristic
547C22×Dic7C2411yescharacteristic
548C22×Dic7C2411yescharacteristic
549C22×Dic7C2411yescharacteristic
550C22×Dic7C2411yescharacteristic
551C22×Dic7C2411yescharacteristic
552#1159—416no—
553C2×C4×D7—22no—
554C2×C4×D7—22no—
555C2×C4×D7—22no—
556C2×C4×D7—22no—
557C2×C4×D7—22no—
558C2×C4×D7—22no—
559C2×C4×D7—22no—
560C2×C4×D7—416no—
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×C22⋊C4—22no—
575C7×C22⋊C4—22no—
576C7×C22⋊C4—22no—
577C7×C22⋊C4—22no—
578C7×C22⋊C4—22no—
579C7×C22⋊C4—22no—
580C7×C22⋊C4—41no—
581C7×C22⋊C4—41no—
582C7×C22⋊C4—41no—
583C7×C22⋊C4—41no—
584C7×C22⋊C4—41no—
585C7×C22⋊C4—41no—
586C7×C22⋊C4—41no—
587C7×C22⋊C4C2×D414yes—
588C42×C7—41no—
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—22no—
600C22⋊Dic7—22no—
601C22⋊Dic7—22no—
602C22⋊Dic7—22no—
603C22⋊Dic7—22no—
604C22⋊Dic7—22no—
605C22⋊Dic7—41no—
606C22⋊Dic7—41no—
607C22⋊Dic7—41no—
608C22⋊Dic7—41no—
609C22⋊Dic7—41no—
610C22⋊Dic7—41no—
611C22⋊Dic7—41no—
612C22⋊Dic7—41no—
613C22⋊Dic7—41no—
614C22⋊Dic7—41no—
615C22⋊Dic7—41no—
616C22⋊Dic7—41no—
617C22⋊Dic7—41no—
618C22⋊Dic7—41no—
619C22⋊Dic7—41no—
620C22⋊Dic7—41no—
621(C2×D7)⋊C4—22no—
622(C2×D7)⋊C4—22no—
623(C2×D7)⋊C4—22no—
624(C2×D7)⋊C4—22no—
625(C2×D7)⋊C4—22no—
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—22no—
639C4⋊Dic7—22no—
640C4⋊Dic7—41no—
641C4⋊Dic7—41no—
642C4⋊Dic7—41no—
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⋊C4—41no—
656Dic7⋊C4C2×D414yes—
657C4×Dic7—22no—
658C4×Dic7—22no—
659C4×Dic7—41no—
660C4×Dic7—41no—
661C4×Dic7—41no—
662C4×Dic7C2×D414yes—
663C22×#41—71no—
664C24×C4—71no—
665#538—148no—
666C2×#127C2×D711yescharacteristic
667C2×#126—71no—
668C2×#126—71no—
669C2×#124—71no—
670C2×#124—71no—
671C2×#124—71no—
672#525—148no—
673C2×#123—71no—
674C2×#123—71no—
675C2×#123—71no—
676C2×#123—71no—
677C2×#123—71no—
678C2×#123—71no—
679C2×C22⋊Q8—71no—
680C2×C22⋊Q8—71no—
681C2×C22⋊Q8—71no—
682C2×C22⋊Q8—71no—
683C2×#121—71no—
684C2×#121—71no—
685C2×#121—71no—
686C2×#121—71no—
687C2×#121—71no—
688C2×#121—71no—
689C2×#121C2×D711yescharacteristic
690C2×#121C2×D711yescharacteristic
691C2×#120—71no—
692C2×#120—71no—
693C2×#120—71no—
694C2×#120—71no—
695C2×#120—71no—
696C2×#120—71no—
697C2×#120—71no—
698C2×#120C2×D711yescharacteristic
699C2×#120C2×D711yescharacteristic, complemented
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#394C2×D711yescharacteristic, complemented
741#394C2×D711yescharacteristic, complemented
742#393—71no—
743#393—71no—
744#393—71no—
745#392—71no—
746#392—71no—
747#392—71no—
748#392—71no—
749#392—71no—
750#392—71no—
751#392—71no—
752#392C2×D711yescharacteristic
753#392C2×D711yescharacteristic
754#392C2×D711yescharacteristic, complemented
755#392C2×D711yescharacteristic, complemented
756#391—71no—
757#391—71no—
758#390—71no—
759#390—71no—
760#390—71no—
761#390—71no—
762#390—71no—
763#390—71no—
764#390—71no—
765#390—71no—
766#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#388C2×D711yescharacteristic, complemented
783#388C2×D711yescharacteristic, complemented
784#387—71no—
785#387—71no—
786#386—71no—
787#386—71no—
788#386—71no—
789#386—71no—
790#386—71no—
791#386—71no—
792#386—71no—
793#386—71no—
794#386—71no—
795#386—71no—
796#386—71no—
797#386—71no—
798#386—71no—
799#386—71no—
800#386—71no—
801#386C2×D711yescharacteristic
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#380—71no—
814#380—71no—
815#380—71no—
816#379—71no—
817#379—71no—
818C4×C4⋊C4—71no—
819#376—71no—
820C23×C7—21no—
821C23×C7—21no—
822C23×C7—21no—
823C23×C7—21no—
824C23×C7—21no—
825C23×C7—21no—
826C23×C7—21no—
827C23×C7—21no—
828C23×C7—21no—
829C23×C7—21no—
830C23×C7—21no—
831C23×C7—21no—
832C23×C7—21no—
833C23×C7—21no—
834C23×C7—21no—
835C23×C7—21no—
836C23×C7—21no—
837C23×C7—21no—
838C23×C7—21no—
839C23×C7—21no—
840C23×C7—21no—
841C23×C7—21no—
842C23×C7—21no—
843C23×C7—21no—
844C23×C7—21no—
845C23×C7—21no—
846C23×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—82no—
862C23×C7—82no—
863C23×C7—82no—
864C23×C7—82no—
865C23×C7—82no—
866C23×C7—82no—
867C23×C7C22×D412yes—
868C23×C7H(5,𝔽2)12yes—
869C23×C7C2511yescharacteristic
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—44no—
883C22×D7—44no—
884C22×D7—44no—
885C22×D7—44no—
886C22×D7—44no—
887C22×D7—44no—
888C22×D7—44no—
889C22×D7C22×D412yes—
890C22×D7H(5,𝔽2)12yes—
891C7×D4—44no—
892C7×D4—44no—
893C7×D4—44no—
894C7×D4—44no—
895C7×D4—82no—
896C7×D4—82no—
897C7×D4—82no—
898C7×D4—82no—
899C7×D4—82no—
900C7×D4—82no—
901C7×D4—82no—
902C7×D4—82no—
903C2×C4×C7—21no—
904C2×C4×C7—21no—
905C2×C4×C7—21no—
906C2×C4×C7—21no—
907C2×C4×C7—21no—
908C2×C4×C7—21no—
909C2×C4×C7—21no—
910C2×C4×C7—21no—
911C2×C4×C7—21no—
912C2×C4×C7—21no—
913C2×C4×C7—21no—
914C2×C4×C7—21no—
915C2×C4×C7—21no—
916C2×C4×C7—21no—
917C2×C4×C7—21no—
918C2×C4×C7—21no—
919C2×C4×C7—21no—
920C2×C4×C7—21no—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—21no—
927C2×C4×C7—44no—
928C2×C4×C7C22×D412yes—
929C2×C4×C7C22×D412yes—
930C2×C4×C7H(5,𝔽2)12yes—
931C22⋊D7—44no—
932C22⋊D7—44no—
933C22⋊D7—44no—
934C22⋊D7—44no—
935C22⋊D7—82no—
936C22⋊D7—82no—
937C22⋊D7—82no—
938C22⋊D7—82no—
939C22⋊D7—82no—
940C22⋊D7—82no—
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—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—44no—
981C2×Dic7—44no—
982C2×Dic7—44no—
983C2×Dic7—82no—
984C2×Dic7—82no—
985C2×Dic7C22×D412yes—
986C2×Dic7C22×D412yes—
987C2×Dic7C22×D412yes—
988C4×D7—28no—
989C4×D7—44no—
990C4×D7—44no—
991C4×D7—44no—
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×D4C22×D711yescharacteristic
1012C22×D4C22×D711yescharacteristic
1013C22×D4C22×D711yescharacteristic
1014C22×D4C22×D711yescharacteristic
1015C22×D4C22×D711yescharacteristic
1016C22×D4C22×D711yescharacteristic
1017C22×D4C22×D711yescharacteristic
1018C22×D4C22×D711yescharacteristic
1019C22×D4C22×D711yescharacteristic
1020C22×D4C22×D711yescharacteristic
1021C22×D4C22×D711yescharacteristic
1022C22×D4C22×D711yescharacteristic
1023C23×C4—71no—
1024C23×C4—71no—
1025C23×C4—71no—
1026C23×C4—71no—
1027C23×C4—71no—
1028C23×C4—71no—
1029C23×C4—71no—
1030C23×C4—71no—
1031C23×C4—71no—
1032C23×C4—144no—
1033C23×C4—282no—
1034C23×C4—282no—
1035C23×C4C22×D711yescharacteristic
1036#127—42no—
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—144no—
1055#121—144no—
1056#121—144no—
1057#121—144no—
1058#121—282no—
1059#121—282no—
1060#120—24no—
1061#120—42no—
1062#120—42no—
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⋊C4—71no—
1098C2×C4⋊C4C22×D711yescharacteristic
1099C2×C4⋊C4C22×D711yescharacteristic
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—71no—
1103C2×C22⋊C4—71no—
1104C2×C22⋊C4—71no—
1105C2×C22⋊C4—71no—
1106C2×C22⋊C4—71no—
1107C2×C22⋊C4—71no—
1108C2×C22⋊C4—71no—
1109C2×C22⋊C4—71no—
1110C2×C22⋊C4—71no—
1111C2×C22⋊C4—71no—
1112C2×C22⋊C4—71no—
1113C2×C22⋊C4—71no—
1114C2×C22⋊C4—71no—
1115C2×C22⋊C4—71no—
1116C2×C22⋊C4—71no—
1117C2×C22⋊C4—71no—
1118C2×C22⋊C4—71no—
1119C2×C22⋊C4—71no—
1120C2×C22⋊C4—71no—
1121C2×C22⋊C4—71no—
1122C2×C22⋊C4—71no—
1123C2×C22⋊C4—71no—
1124C2×C22⋊C4—71no—
1125C2×C22⋊C4—71no—
1126C2×C22⋊C4—71no—
1127C2×C22⋊C4—71no—
1128C2×C22⋊C4—71no—
1129C2×C22⋊C4—71no—
1130C2×C22⋊C4—71no—
1131C2×C22⋊C4—71no—
1132C2×C22⋊C4—71no—
1133C2×C22⋊C4—71no—
1134C2×C22⋊C4—71no—
1135C2×C22⋊C4—71no—
1136C2×C22⋊C4—71no—
1137C2×C22⋊C4—71no—
1138C2×C22⋊C4—71no—
1139C2×C22⋊C4—71no—
1140C2×C22⋊C4—71no—
1141C2×C22⋊C4—71no—
1142C2×C22⋊C4—71no—
1143C2×C22⋊C4—71no—
1144C2×C22⋊C4—71no—
1145C2×C22⋊C4—71no—
1146C2×C22⋊C4—144no—
1147C2×C22⋊C4C22×D711yescharacteristic
1148C2×C22⋊C4C22×D711yescharacteristic
1149C2×C22⋊C4C22×D711yescharacteristic
1150C2×C22⋊C4C22×D711yescharacteristic
1151C2×C22⋊C4C22×D711yescharacteristic
1152C2×C22⋊C4C22×D711yescharacteristic
1153C2×C22⋊C4C22×D711yescharacteristic
1154C2×C22⋊C4C22×D711yescharacteristic
1155C2×C22⋊C4C22×D711yescharacteristic
1156C2×C22⋊C4C22×D711yescharacteristic
1157C2×C22⋊C4C22×D711yescharacteristic
1158C2×C22⋊C4C22×D711yescharacteristic
1159C2×C22⋊C4C22×D711yescharacteristic
1160C2×C22⋊C4C22×D711yescharacteristic
1161C2×C42—71no—
1162C2×C42—71no—
1163C2×C42—71no—
1164C2×C42—71no—
1165C2×C42—71no—
1166C2×C42—71no—
1167C2×C42C22×D711yescharacteristic
1168#95—71no—
1169#95—71no—
1170#95—71no—
1171#95—71no—
1172#95—71no—
1173#95—71no—
1174#95—71no—
1175#95—71no—
1176#95—71no—
1177#95—71no—
1178#95—71no—
1179#95—71no—
1180#95—71no—
1181#95—71no—
1182#95—71no—
1183#95—71no—
1184#95—71no—
1185#95—71no—
1186#95—71no—
1187#95—71no—
1188#95—71no—
1189#95—71no—
1190#95—71no—
1191#95—71no—
1192#95C22×D711yescharacteristic
1193#95C22×D711yescharacteristic
1194#95C22×D711yescharacteristic
1195#95C22×D711yescharacteristic
1196C22×C7—22no—
1197C22×C7—22no—
1198C22×C7—22no—
1199C22×C7—22no—
1200C22×C7—22no—
1201C22×C7—22no—
1202C22×C7—41no—
1203C22×C7—41no—
1204C22×C7—41no—
1205C22×C7—41no—
1206C22×C7—41no—
1207C22×C7—41no—
1208C22×C7—41no—
1209C22×C7—41no—
1210C22×C7—41no—
1211C22×C7—41no—
1212C22×C7—41no—
1213C22×C7—41no—
1214C22×C7—41no—
1215C22×C7—41no—
1216C22×C7—41no—
1217C22×C7—41no—
1218C22×C7—41no—
1219C22×C7—41no—
1220C22×C7—41no—
1221C22×C7—41no—
1222C22×C7—41no—
1223C22×C7—41no—
1224C22×C7—41no—
1225C22×C7—41no—
1226C22×C7—41no—
1227C22×C7—41no—
1228C22×C7—41no—
1229C22×C7—41no—
1230C22×C7—41no—
1231C22×C7—41no—
1232C22×C7—41no—
1233C22×C7—41no—
1234C22×C7—41no—
1235C22×C7—41no—
1236C22×C7—41no—
1237C22×C7—41no—
1238C22×C7—88no—
1239C22×C7C23×D411yescharacteristic
1240C22×C7C2×H(5,𝔽2)11yescharacteristic
1241C22×C7C2×H(5,𝔽2)11yescharacteristic
1242C22×C7C2×H(5,𝔽2)11yescharacteristic
1243C22×C7#58511yescharacteristic
1244C22×C7#58511yescharacteristic
1245C22×C7#58511yescharacteristic
1246C2×D7—22no—
1247C2×D7—22no—
1248C2×D7—22no—
1249C2×D7—22no—
1250C2×D7—22no—
1251C2×D7—22no—
1252C2×D7—416no—
1253C2×D7—41no—
1254C2×D7—41no—
1255C2×D7—41no—
1256C2×D7—41no—
1257C2×D7—41no—
1258C2×D7—41no—
1259C2×D7—41no—
1260C2×D7—41no—
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—
1270Dic7—22no—
1271Dic7—22no—
1272Dic7—22no—
1273Dic7—41no—
1274Dic7—41no—
1275Dic7—41no—
1276Dic7—41no—
1277Dic7—41no—
1278Dic7—41no—
1279Dic7—41no—
1280Dic7—41no—
1281Dic7—41no—
1282Dic7—41no—
1283Dic7—41no—
1284C24—22no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24—41no—
1289C24—41no—
1290C24—41no—
1291C24—71no—
1292C24—71no—
1293C24—142no—
1294C24—142no—
1295C24—142no—
1296C24—281no—
1297C24—281no—
1298C24—281no—
1299C24—281no—
1300C24C23×D711yescharacteristic
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—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
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—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—74no—
1350C2×D4—142no—
1351C2×D4—142no—
1352C2×D4—142no—
1353C2×D4—142no—
1354C2×D4—142no—
1355C2×D4—142no—
1356C2×D4—142no—
1357C2×D4—142no—
1358C2×D4—142no—
1359C2×D4—142no—
1360C2×D4—142no—
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—41no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—71no—
1385C22×C4—74no—
1386C22×C4—74no—
1387C22×C4—71no—
1388C22×C4—71no—
1389C22×C4—71no—
1390C22×C4—71no—
1391C22×C4—71no—
1392C22×C4—71no—
1393C22×C4—71no—
1394C22×C4—71no—
1395C22×C4—71no—
1396C22×C4—71no—
1397C22×C4—71no—
1398C22×C4—142no—
1399C22×C4—142no—
1400C22×C4—142no—
1401C22×C4—142no—
1402C22×C4—142no—
1403C22×C4—142no—
1404C22×C4—142no—
1405C22×C4—142no—
1406C22×C4—142no—
1407C22×C4—142no—
1408C22×C4—142no—
1409C22×C4—281no—
1410C22×C4—281no—
1411C22×C4—281no—
1412C22×C4—281no—
1413C22×C4—2816no—
1414C22×C4—281no—
1415C22×C4—281no—
1416C22×C4—281no—
1417C22×C4—281no—
1418C22×C4—281no—
1419C22×C4—281no—
1420C22×C4—281no—
1421C22×C4—281no—
1422C22×C4—281no—
1423C22×C4—281no—
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—74no—
1436C4⋊C4—142no—
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—281no—
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—41no—
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⋊C4D4×D714yes—
1517C42—41no—
1518C42—74no—
1519C42—142no—
1520C42—142no—
1521C42—281no—
1522C42—281no—
1523C42—281no—
1524C2×C7—42no—
1525C2×C7—42no—
1526C2×C7—81no—
1527C2×C7—81no—
1528C2×C7—81no—
1529C2×C7—81no—
1530C2×C7#344911yescharacteristic
1531C2×C7#348411yescharacteristic
1532C2×C7#348811yescharacteristic
1533C2×C7#353311yescharacteristic
1534C2×C7#353411yescharacteristic
1535C2×C7#354011yescharacteristic
1536C2×C7#354211yescharacteristic
1537D7—42no—
1538D7—42no—
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—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—44no—
1580C23—72no—
1581C23—72no—
1582C23—82no—
1583C23—82no—
1584C23—82no—
1585C23—82no—
1586C23—82no—
1587C23—82no—
1588C23—141no—
1589C23—141no—
1590C23—141no—
1591C23—141no—
1592C23—141no—
1593C23—141no—
1594C23—141no—
1595C23—141no—
1596C23—141no—
1597C23—141no—
1598C23—141no—
1599C23—141no—
1600C23—284no—
1601C23—284no—
1602C23—284no—
1603C23—284no—
1604C23—284no—
1605C23—284no—
1606C23—284no—
1607C23C2×D4×D712yes—
1608C23#654812yes—
1609C23C24×D711yescharacteristic
1610Q8—284no—
1611Q8—562no—
1612D4—44no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—82no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—284no—
1625D4—284no—
1626D4—284no—
1627D4—284no—
1628D4—562no—
1629D4—562no—
1630D4—562no—
1631D4—562no—
1632D4—562no—
1633D4—562no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—44no—
1659C2×C4—72no—
1660C2×C4—72no—
1661C2×C4—72no—
1662C2×C4—148no—
1663C2×C4—141no—
1664C2×C4—141no—
1665C2×C4—141no—
1666C2×C4—141no—
1667C2×C4—141no—
1668C2×C4—141no—
1669C2×C4—141no—
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—284no—
1703C2×C4—284no—
1704C2×C4—284no—
1705C2×C4—284no—
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—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—88no—
1757C22—142no—
1758C22—142no—
1759C22—142no—
1760C22—142no—
1761C22—142no—
1762C22—142no—
1763C22—2816no—
1764C22—281no—
1765C22—281no—
1766C22—281no—
1767C22—281no—
1768C22—281no—
1769C22—281no—
1770C22—281no—
1771C22—281no—
1772C22C22×D4×D711yescharacteristic
1773C22C2×#654811yescharacteristic
1774C22C2×#654811yescharacteristic
1775C22D7×H(5,𝔽2)11yescharacteristic
1776C22#9061811yescharacteristic
1777C22#9061811yescharacteristic
1778C22#9061811yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—142no—
1789C4—142no—
1790C4—142no—
1791C4—281no—
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—81no—
1805C2—81no—
1806C2—81no—
1807C2—81no—
1808C2—282no—
1809C2—282no—
1810C2#1174338011yescharacteristic
1811C2#1174338111yescharacteristic
1812C2#1174339011yescharacteristic
1813C2#1174367511yescharacteristic
1814C2#1174368311yescharacteristic
1815C2#1174368811yescharacteristic
1816C2#1174414911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2669C2
hypercenter#2669D7
hypocenterC7#36724
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#90297C2semidirect
2. C2×#90284C2semidirect
3. C7×#2669C2semidirect
4. #11740635C2semidirect
5. #11740623C2semidirect
6. #11740168C2semidirect
7. #11740130C2semidirect
8. #11740127C2semidirect
9. #11740055C2semidirect
10. #11740055C2semidirect
11. #11740042C2semidirect
12. #11740035C2semidirect
13. #11740026C2semidirect
14. #11734584C2semidirect
15. #11734469C2semidirect
16. #11734419C2semidirect
17. #11734414C2semidirect
18. #11734216C2semidirect
19. #11734211C2semidirect
20. #11734165C2semidirect
21. #11734161C2semidirect
22. #11734148C2semidirect
23. #11734140C2semidirect
24. #11734138C2semidirect
25. #11734113C2semidirect
26. #11733370C2semidirect
27. #11733115C2semidirect
28. #11733089C2semidirect
29. #11732903C2semidirect
30. #11732381C2semidirect
31. #11732257C2semidirect
33. C23×C4×D7C22semidirect
38. C2×C7×#120C22semidirect
39. C2×C7×#120C22semidirect
42. C22×C22⋊Dic7C22semidirect
45. C2×#6502C22semidirect
52. C2×#6500C22semidirect
53. C2×#6500C22semidirect
54. C2×#6499C22semidirect
55. C2×#6499C22semidirect
57. C2×#6498C22semidirect
59. C2×D4×Dic7C22semidirect
60. C2×D4×Dic7C22semidirect
61. C2×#6487C22semidirect
64. C2×#6460C22semidirect
65. C2×#6455C22semidirect
70. C2×#6446C22semidirect
72. C2×(C22⋊D7)⋊C4C22semidirect
73. C2×#6442C22semidirect
74. C2×#6442C22semidirect
75. C2×#6441C22semidirect
76. C2×#6441C22semidirect
77. C7×#394C22semidirect
78. C7×#394C22semidirect
81. C7×#392C22semidirect
82. C7×#392C22semidirect
83. C7×#388C22semidirect
84. C7×#388C22semidirect
86. #90019C22semidirect
93. #89995C22semidirect
98. #89994C22semidirect
99. #89994C22semidirect
100. #89994C22semidirect
101. #89994C22semidirect
102. #89994C22semidirect
103. #89994C22semidirect
104. #89994C22semidirect
106. #89993C22semidirect
107. #89993C22semidirect
110. #89992C22semidirect
111. #89992C22semidirect
112. #89992C22semidirect
113. #89992C22semidirect
114. #89992C22semidirect
115. #89992C22semidirect
116. #89984C22semidirect
117. #89982C22semidirect
118. #89759C22semidirect
119. #89759C22semidirect
120. #89755C22semidirect
121. #89751C22semidirect
122. #89744C22semidirect
123. #89744C22semidirect
128. #89731C22semidirect
129. #89731C22semidirect
135. #89729C22semidirect
136. #89729C22semidirect
141. #89728C22semidirect
142. #89728C22semidirect
143. #89727C22semidirect
144. #89725C22semidirect
145. #89725C22semidirect
146. #89723C22semidirect
147. #89723C22semidirect
148. #89723C22semidirect
149. #89722C22semidirect
150. #89722C22semidirect
151. #89722C22semidirect
152. #89721C22semidirect
153. #89720C22semidirect
154. #89720C22semidirect
155. #89720C22semidirect
156. #89720C22semidirect
157. #89720C22semidirect
158. #89719C22semidirect
159. #89719C22semidirect
160. #89717C22semidirect
161. #89717C22semidirect
162. #89717C22semidirect
163. #89717C22semidirect
164. #89716C22semidirect
165. #89716C22semidirect
166. #89715C22semidirect
167. #89715C22semidirect
168. #89714C22semidirect
169. #89712C22semidirect
170. #89712C22semidirect
171. C4×Dic7⋊C4C22semidirect
172. #89701C22semidirect
173. #89448C22semidirect
174. #89447C22semidirect
175. #89445C22semidirect
176. #89441C22semidirect
177. #89440C22semidirect
178. #89440C22semidirect
179. #89436C22semidirect
180. #89436C22semidirect
181. #89433C22semidirect
182. #89431C22semidirect
183. #89429C22semidirect
184. #89427C22semidirect
185. #89427C22semidirect
186. #89420C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
359. (C22⋊D7)⋊C4D4semidirect
411. #2669D7semidirect
699. C2×#120C2×D7semidirect
700. C2×#120C2×D7semidirect
740. #394C2×D7semidirect
741. #394C2×D7semidirect
754. #392C2×D7semidirect
755. #392C2×D7semidirect
782. #388C2×D7semidirect
783. #388C2×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×#902972
C2×#902842
C7×#26692
#117406352
#117406232
#117401682
#117401302
#117401272
#117400552
#117400422
#117400352
#117400262
#117345842
#117344692
#117344192
#117344142
#117342162
#117342112
#117341652
#117341612
#117341482
#117341402
#117341382
#117341132
#117333702
#117331152
#117330892
#117329032
#117323812
#117322572
#367247