Finite Group Databasebeta

← #13526751

Subgroups — #13526751

Order 1792.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90335C211yesmaximal, characteristic, complemented
2C2×#90284C211yesmaximal, characteristic, complemented
3C7×#2472C211yesmaximal, characteristic, complemented
4#11740438C211yesmaximal, characteristic, complemented
5#11740420C211yesmaximal, characteristic, complemented
6#11740208C211yesmaximal, characteristic, complemented
7#11740033C211yesmaximal, characteristic, complemented
8#11739554C211yesmaximal, characteristic, complemented
9C2×#89729C211yesmaximal, characteristic, complemented
10#11735009C211yesmaximal, characteristic, complemented
11#11734938C211yesmaximal, characteristic, complemented
12#11734442C211yesmaximal, characteristic, complemented
13#11734440C211yesmaximal, characteristic, complemented
14#11734352C211yesmaximal, characteristic, complemented
15#11734348C211yesmaximal, characteristic, complemented
16#11734264C211yesmaximal, characteristic, complemented
17#11734237C211yesmaximal, characteristic, complemented
18#11733921C211yesmaximal, characteristic, complemented
19#11733800C211yesmaximal, characteristic, complemented
20#11733405C211yesmaximal, characteristic, complemented
21#11733265C211yesmaximal, characteristic, complemented
22#11733042C211yesmaximal, characteristic, complemented
23#11733041C211yesmaximal, characteristic, complemented
24#11732338C211yesmaximal, characteristic, complemented
25#11732320C211yesmaximal, characteristic, complemented
26#11732137C211yesmaximal, characteristic, complemented
27#11732105C211yesmaximal, characteristic, complemented
28#11731269C211yesmaximal, characteristic, complemented
29#11731266C211yesmaximal, characteristic, complemented
30#11731039C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C23×C22⋊D7C2211yescharacteristic
33C2×C7×#124C2211yescharacteristic, complemented
34C2×C7×C22⋊Q8C2211yescharacteristic
35C2×C7×#120C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C2×#6516C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C2×#6510C2211yescharacteristic, complemented
41C2×#6510C2211yescharacteristic, complemented
42C2×#6507C2211yescharacteristic, complemented
43C2×#6503C2211yescharacteristic
44C2×#6503C2211yescharacteristic
45C2×#6502C2211yescharacteristic
46C2×#6502C2211yescharacteristic
47C2×#6502C2211yescharacteristic, complemented
48C2×#6501C2211yescharacteristic, complemented
49C2×#6500C2211yescharacteristic
50C2×#6499C2211yescharacteristic, complemented
51C2×#6498C2211yescharacteristic, complemented
52C2×D4×Dic7C2211yescharacteristic
53C2×#6493C2211yescharacteristic
54C2×C4×C22⋊D7C2211yescharacteristic
55C22×(C2×D7)⋊C4C2211yescharacteristic
56C22×(C2×D7)⋊C4C2211yescharacteristic
57C22×Dic7⋊C4C2211yescharacteristic
58C22×C4×Dic7C2211yescharacteristic
59#90335—28no—
60#90284—28no—
61C2×#6461C2211yescharacteristic, complemented
62C2×#6461C2211yescharacteristic, complemented
63C2×#6458C2211yescharacteristic, complemented
64C2×#6458C2211yescharacteristic, complemented
65C2×#6457C2211yescharacteristic, complemented
66C2×#6457C2211yescharacteristic, complemented
67C2×#6448C2211yescharacteristic, complemented
68C2×#6447C2211yescharacteristic
69C2×#6447C2211yescharacteristic
70C2×#6447C2211yescharacteristic, complemented
71C2×#6447C2211yescharacteristic, complemented
72C2×#6447C2211yescharacteristic, complemented
73C2×#6446C2211yescharacteristic, complemented
74C2×#6445C2211yescharacteristic
75C2×#6445C2211yescharacteristic
76C2×(C22⋊D7)⋊C4C2211yescharacteristic
77C2×(C22⋊D7)⋊C4C2211yescharacteristic
78C2×(C22⋊D7)⋊C4C2211yescharacteristic
79C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
80C2×#6442C2211yescharacteristic, complemented
81C2×#6442C2211yescharacteristic, complemented
82C2×#6441C2211yescharacteristic
83C2×#6438C2211yescharacteristic, complemented
84C2×C42×D7C2211yescharacteristic, complemented
85C7×#397C2211yescharacteristic, complemented
86C7×#394C2211yescharacteristic, complemented
87C7×#394C2211yescharacteristic, complemented
88C7×#393C2211yescharacteristic, complemented
89C7×#390C2211yescharacteristic, complemented
90C7×#388C2211yescharacteristic, complemented
91C7×#388C2211yescharacteristic, complemented
92C7×#386C2211yescharacteristic
93C7×#386C2211yescharacteristic
94C7×#379C2211yescharacteristic
95C4×C7×C22⋊C4C2211yescharacteristic
96#90001C2211yescharacteristic, complemented
97#89995C2211yescharacteristic
98#89995C2211yescharacteristic
99#89985C2211yescharacteristic
100#89982C2211yescharacteristic
101#89755C2211yescharacteristic, complemented
102#89752C2211yescharacteristic, complemented
103#89751C2211yescharacteristic, complemented
104#89748C2211yescharacteristic, complemented
105#89744C2211yescharacteristic, complemented
106#89744C2211yescharacteristic, complemented
107#89732C2211yescharacteristic
108#89732C2211yescharacteristic
109#89732C2211yescharacteristic
110#89732C2211yescharacteristic
111#89732C2211yescharacteristic, complemented
112#89732C2211yescharacteristic, complemented
113#89731C2211yescharacteristic
114#89731C2211yescharacteristic
115#89731C2211yescharacteristic, complemented
116#89731C2211yescharacteristic, complemented
117#89731C2211yescharacteristic, complemented
118#89731C2211yescharacteristic, complemented
119#89730C2211yescharacteristic
120#89730C2211yescharacteristic, complemented
121#89730C2211yescharacteristic, complemented
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89729C2211yescharacteristic
126#89729C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic
129#89729C2211yescharacteristic
130#89729C2211yescharacteristic
131#89729C2211yescharacteristic
132#89729C2211yescharacteristic
133#89729C2211yescharacteristic
134#89729C2211yescharacteristic, complemented
135#89729C2211yescharacteristic, complemented
136#89729C2211yescharacteristic, complemented
137#89729C2211yescharacteristic, complemented
138#89729C2211yescharacteristic, complemented
139#89729C2211yescharacteristic, complemented
140#89729C2211yescharacteristic, complemented
141#89729C2211yescharacteristic, complemented
142#89728C2211yescharacteristic, complemented
143#89728C2211yescharacteristic, complemented
144#89728C2211yescharacteristic, complemented
145#89727C2211yescharacteristic
146#89723C2211yescharacteristic, complemented
147#89720C2211yescharacteristic, complemented
148#89720C2211yescharacteristic, complemented
149#89718C2211yescharacteristic
150#89717C2211yescharacteristic, complemented
151#89717C2211yescharacteristic, complemented
152#89716C2211yescharacteristic, complemented
153#89716C2211yescharacteristic, complemented
154#89716C2211yescharacteristic, complemented
155#89714C2211yescharacteristic
156C22⋊C4×Dic7C2211yescharacteristic
157C22⋊C4×Dic7C2211yescharacteristic
158C22⋊C4×Dic7C2211yescharacteristic, complemented
159#89712C2211yescharacteristic, complemented
160#89712C2211yescharacteristic, complemented
161#89711C2211yescharacteristic, complemented
162C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
163C4×Dic7⋊C4C2211yescharacteristic, complemented
164C42×Dic7C2211yescharacteristic, complemented
165#89448C2211yescharacteristic, complemented
166#89448C2211yescharacteristic, complemented
167#89446C2211yescharacteristic, complemented
168#89445C2211yescharacteristic, complemented
169#89444C2211yescharacteristic, complemented
170#89444C2211yescharacteristic, complemented
171#89444C2211yescharacteristic, complemented
172#89444C2211yescharacteristic, complemented
173#89442C2211yescharacteristic, complemented
174#89442C2211yescharacteristic, complemented
175#89442C2211yescharacteristic, complemented
176#89441C2211yescharacteristic, complemented
177#89441C2211yescharacteristic, complemented
178#89441C2211yescharacteristic, complemented
179#89439C2211yescharacteristic, complemented
180#89438C2211yescharacteristic, complemented
181#89438C2211yescharacteristic, complemented
182#89438C2211yescharacteristic, complemented
183#89437C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89421C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#35007—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×Q8C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C22×C22⋊D7—24no—
199C22×C22⋊D7—42no—
200C22×C22⋊D7—42no—
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
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C22×C22⋊D7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C23×Dic7C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×D28C2311yescharacteristic
222C22×D28C2311yescharacteristic
223C22×D28C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×Dic14C2311yescharacteristic
229C7×#124—42no—
230C7×C22⋊Q8—24no—
231C7×#120—24no—
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4—42no—
236C2×C7×C22⋊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×C7×C22⋊C4C2311yescharacteristic
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C42×C7C2311yescharacteristic
254C2×C42×C7C2311yescharacteristic
255#6516—24no—
256#6516—24no—
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
271#6510—24no—
272#6510—24no—
273#6507—42no—
274#6503—42no—
275#6503—42no—
276#6502—24no—
277#6502—24no—
278#6502—24no—
279#6501—24no—
280#6500—24no—
281#6499—24no—
282#6498—24no—
283D4×Dic7—24no—
284#6493—24no—
285C4×C22⋊D7—24no—
286C2×(C2×D7)⋊C4—24no—
287C2×(C2×D7)⋊C4—42no—
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×(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×C4⋊Dic7C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×Dic7⋊C4—42no—
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×Dic7⋊C4C2311yescharacteristic
336C2×Dic7⋊C4C2311yescharacteristic
337C2×Dic7⋊C4C2311yescharacteristic
338C2×Dic7⋊C4C2311yescharacteristic
339C2×Dic7⋊C4C2311yescharacteristic
340C2×C4×Dic7—42no—
341C2×C4×Dic7C2311yescharacteristic
342C2×C4×Dic7C2311yescharacteristic
343C2×C4×Dic7C2311yescharacteristic
344C2×C4×Dic7C2311yescharacteristic
345C2×C4×Dic7C2311yescharacteristic
346C2×C4×Dic7C2311yescharacteristic
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#6461—24no—
356#6458—24no—
357#6458—24no—
358#6457—24no—
359#6457—24no—
360#6448—24no—
361#6447—42no—
362#6447—42no—
363#6447—42no—
364#6447—42no—
365#6447—42no—
366#6446—24no—
367#6445—24no—
368#6445—24no—
369(C22⋊D7)⋊C4—24no—
370(C22⋊D7)⋊C4—24no—
371(C22⋊D7)⋊C4—42no—
372(C22⋊D7)⋊C4D418yescomplemented
373#6442—24no—
374#6442—24no—
375#6441—24no—
376#6438—42no—
377C42×D7—42no—
378C7×#95C2311yescharacteristic
379C7×#95C2311yescharacteristic
380C7×#95C2311yescharacteristic
381C7×#95C2311yescharacteristic
382C7×#95C2311yescharacteristic
383C7×#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C7⋊#95C2311yescharacteristic
393C7⋊#95C2311yescharacteristic
394C7⋊#95C2311yescharacteristic
395C7⋊#95C2311yescharacteristic
396C7⋊#95C2311yescharacteristic
397C7⋊#95C2311yescharacteristic
398C2×#538—71no—
399C2×#538—71no—
400#2860—71no—
401#2858—71no—
402#2856—71no—
403#2854—71no—
404#2662—71no—
405#2662—71no—
406#2661—71no—
407#2661—71no—
408#2555—71no—
409#2555—71no—
410#2554—71no—
411#2554—71no—
412#2512—71no—
413#2491—71no—
414#2472—71no—
415#2472D711yescharacteristic, complemented
416#2445—71no—
417#2440—71no—
418#2433—71no—
419#2428—71no—
420#2424—71no—
421#2424—71no—
422#2416—71no—
423#2408—71no—
424#2321—71no—
425#2321—71no—
426C4×#121—71no—
427C2×#390—71no—
428C42×D4—71no—
429C24×C7—22no—
430C24×C7—22no—
431C24×C7—22no—
432C24×C7—41no—
433C24×C7—41no—
434C24×C7—41no—
435C24×C7—41no—
436C24×C7C2411yescharacteristic
437C24×C7C2411yescharacteristic
438C24×C7C2411yescharacteristic
439C24×C7C2411yescharacteristic
440C23×D7—22no—
441C23×D7—22no—
442C23×D7—22no—
443C23×D7—41no—
444C23×D7—41no—
445C23×D7—41no—
446C23×D7—41no—
447C23×D7C2411yescharacteristic
448C23×D7C2411yescharacteristic
449C23×D7C2411yescharacteristic
450C23×D7C2411yescharacteristic
451C2×C7×Q8—22no—
452C2×C7×Q8—41no—
453C2×C7×Q8—41no—
454C2×C7×D4—22no—
455C2×C7×D4—22no—
456C2×C7×D4—22no—
457C2×C7×D4—22no—
458C2×C7×D4—22no—
459C2×C7×D4—41no—
460C2×C7×D4—41no—
461C2×C7×D4—41no—
462C2×C7×D4—41no—
463C22×C4×C7—22no—
464C22×C4×C7—22no—
465C22×C4×C7—22no—
466C22×C4×C7—41no—
467C22×C4×C7—41no—
468C22×C4×C7—41no—
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C22×C4×C7C2411yescharacteristic
475C22×C4×C7C2411yescharacteristic
476C22×C4×C7C2411yescharacteristic
477C22×C4×C7C2411yescharacteristic
478C22×C4×C7C2411yescharacteristic
479C22×C4×C7C2411yescharacteristic
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—22no—
491C2×C22⋊D7—22no—
492C2×C22⋊D7—22no—
493C2×C22⋊D7—22no—
494C2×C22⋊D7—22no—
495C2×C22⋊D7—22no—
496C2×C22⋊D7—22no—
497C2×C22⋊D7—22no—
498C2×C22⋊D7—22no—
499C2×C22⋊D7—22no—
500C2×C22⋊D7—22no—
501C2×C22⋊D7—22no—
502C2×C22⋊D7—22no—
503C2×C22⋊D7—41no—
504C2×C22⋊D7—41no—
505C2×C22⋊D7—41no—
506C2×C22⋊D7—41no—
507C2×C22⋊D7—416no—
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×Dic7C2×D414yes—
534C22×Dic7#4114yes—
535C22×Dic7C2411yescharacteristic
536C22×Dic7C2411yescharacteristic
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545C22×Dic7C2411yescharacteristic
546C22×Dic7C2411yescharacteristic
547C2×D28—22no—
548C2×D28—22no—
549C2×D28—22no—
550C2×D28—22no—
551C2×D28—22no—
552C2×D28—41no—
553C2×D28—41no—
554C2×D28—41no—
555C2×D28—41no—
556C2×D28—41no—
557C2×D28—41no—
558C2×D28—41no—
559C2×D28—41no—
560C2×D28—41no—
561C2×D28—41no—
562C2×C4×D7—22no—
563C2×C4×D7—22no—
564C2×C4×D7—22no—
565C2×C4×D7—22no—
566C2×C4×D7—22no—
567C2×C4×D7—22no—
568C2×C4×D7—41no—
569C2×C4×D7—41no—
570C2×C4×D7—41no—
571C2×C4×D7—41no—
572C2×C4×D7—41no—
573C2×C4×D7C2×D414yescomplemented
574C2×Dic14—22no—
575C2×Dic14—41no—
576C2×Dic14—41no—
577C7×C4⋊C4—22no—
578C7×C4⋊C4—22no—
579C7×C4⋊C4—22no—
580C7×C22⋊C4—22no—
581C7×C22⋊C4—22no—
582C7×C22⋊C4—22no—
583C7×C22⋊C4—22no—
584C7×C22⋊C4—22no—
585C7×C22⋊C4—22no—
586C7×C22⋊C4—22no—
587C7×C22⋊C4—41no—
588C7×C22⋊C4—41no—
589C7×C22⋊C4—41no—
590C7×C22⋊C4—41no—
591C7×C22⋊C4—41no—
592C7×C22⋊C4—41no—
593C7×C22⋊C4—41no—
594C7×C22⋊C4—41no—
595C7×C22⋊C4—41no—
596C7×C22⋊C4C2×D414yes—
597C42×C7—22no—
598C42×C7—41no—
599C22⋊Dic7—22no—
600C22⋊Dic7—22no—
601C22⋊Dic7—22no—
602C22⋊Dic7—22no—
603C22⋊Dic7—22no—
604C22⋊Dic7—22no—
605C22⋊Dic7—22no—
606C22⋊Dic7—22no—
607C22⋊Dic7—22no—
608C22⋊Dic7—22no—
609C22⋊Dic7—22no—
610C22⋊Dic7—22no—
611C22⋊Dic7#4114yes—
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—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—22no—
627(C2×D7)⋊C4—22no—
628(C2×D7)⋊C4—22no—
629(C2×D7)⋊C4—22no—
630(C2×D7)⋊C4—22no—
631(C2×D7)⋊C4—22no—
632(C2×D7)⋊C4—41no—
633(C2×D7)⋊C4—41no—
634(C2×D7)⋊C4—41no—
635(C2×D7)⋊C4—41no—
636(C2×D7)⋊C4—41no—
637(C2×D7)⋊C4—41no—
638(C2×D7)⋊C4—41no—
639(C2×D7)⋊C4—41no—
640(C2×D7)⋊C4—41no—
641(C2×D7)⋊C4C2×D414yescomplemented
642C4⋊Dic7—22no—
643C4⋊Dic7—22no—
644C4⋊Dic7—22no—
645Dic7⋊C4—22no—
646Dic7⋊C4—22no—
647Dic7⋊C4—22no—
648Dic7⋊C4—22no—
649Dic7⋊C4—22no—
650Dic7⋊C4—22no—
651Dic7⋊C4—22no—
652Dic7⋊C4—22no—
653Dic7⋊C4—22no—
654Dic7⋊C4—22no—
655Dic7⋊C4—22no—
656Dic7⋊C4—41no—
657Dic7⋊C4—41no—
658Dic7⋊C4—41no—
659Dic7⋊C4—41no—
660Dic7⋊C4—41no—
661Dic7⋊C4—41no—
662Dic7⋊C4C2×D414yescomplemented
663C4×Dic7—22no—
664C4×Dic7—22no—
665C4×Dic7—22no—
666C4×Dic7—22no—
667C4×Dic7—22no—
668C4×Dic7—22no—
669C4×Dic7—22no—
670C4×Dic7—22no—
671C4×Dic7—41no—
672C4×Dic7—41no—
673C4×Dic7—41no—
674C4×Dic7—41no—
675C4×Dic7C2×D414yescomplemented
676C23×D4—71no—
677#538—148no—
678#538—148no—
679C2×C4⋊Q8—71no—
680C2×#127—71no—
681C2×#127—71no—
682C2×#126—71no—
683C2×#126—71no—
684C2×#126—71no—
685C2×#126—71no—
686C2×#124—71no—
687C2×#124—71no—
688C2×#124—71no—
689C2×#124—71no—
690C2×#124—71no—
691C2×#124C2×D711yescharacteristic, complemented
692C2×#123—71no—
693C2×#123—71no—
694C2×#123—71no—
695C2×#123—71no—
696C2×C22⋊Q8—71no—
697C2×C22⋊Q8C2×D711yescharacteristic
698C2×#121—71no—
699C2×#121—71no—
700C2×#121—71no—
701C2×#121—71no—
702C2×#121—71no—
703C2×#121—71no—
704C2×#121—71no—
705C2×#121—71no—
706C2×#121—71no—
707C2×#121—71no—
708C2×#121—71no—
709C2×#121—71no—
710C2×#120—71no—
711C2×#120—71no—
712C2×#120—71no—
713C2×#120—71no—
714C2×#120—71no—
715C2×#120C2×D711yescharacteristic
716C2×C4×D4—71no—
717C2×C4×D4—71no—
718C2×C4×D4—71no—
719C2×C4×D4—71no—
720C2×C4×D4—71no—
721C2×C4×D4—71no—
722C22×C4⋊C4—71no—
723C22×C22⋊C4—71no—
724C22×C22⋊C4—71no—
725C22×C22⋊C4—71no—
726C22×C22⋊C4C2×D711yescharacteristic
727C22×C42—71no—
728C22×C42—71no—
729#398—71no—
730#398—71no—
731#397—71no—
732#397C2×D711yescharacteristic, complemented
733#396—71no—
734#396—71no—
735#396—71no—
736#396—71no—
737#395—71no—
738#395—71no—
739#394—71no—
740#394—71no—
741#394—71no—
742#394—71no—
743#394—71no—
744#394—71no—
745#394—71no—
746#394—71no—
747#394—71no—
748#394—71no—
749#394C2×D711yescharacteristic, complemented
750#394C2×D711yescharacteristic, complemented
751#393—71no—
752#393C2×D711yescharacteristic, complemented
753#392—71no—
754#392—71no—
755#392—71no—
756#392—71no—
757#392—71no—
758#392—71no—
759#392—71no—
760#392—71no—
761#390—71no—
762#390—71no—
763#390—71no—
764#390—71no—
765#390—71no—
766#390—71no—
767#390—71no—
768#390—71no—
769#390—71no—
770#390—71no—
771#390—71no—
772#390—71no—
773#390—71no—
774#390—71no—
775#390—71no—
776#390—71no—
777#390—71no—
778#390—71no—
779#390—71no—
780#390—71no—
781#390—71no—
782#390C2×D711yescharacteristic, complemented
783#389—71no—
784#389—71no—
785#389—71no—
786#389—71no—
787#388—71no—
788#388—71no—
789#388—71no—
790#388—71no—
791#388—71no—
792#388—71no—
793#388—71no—
794#388—71no—
795#388—71no—
796#388—71no—
797#388—71no—
798#388—71no—
799#388—71no—
800#388—71no—
801#388C2×D711yescharacteristic, complemented
802#388C2×D711yescharacteristic, complemented
803#386—71no—
804#386—71no—
805#386—71no—
806#386—71no—
807#386—71no—
808#386—71no—
809#386—71no—
810#386—71no—
811#386C2×D711yescharacteristic
812#386C2×D711yescharacteristic
813#385—71no—
814#385—71no—
815#384—71no—
816#380—71no—
817#380—71no—
818#379—71no—
819#379C2×D711yescharacteristic
820C4×C4⋊C4—71no—
821C4×C4⋊C4—71no—
822C4×C4⋊C4—71no—
823C4×C4⋊C4—71no—
824C4×C22⋊C4—71no—
825C4×C22⋊C4—71no—
826C4×C22⋊C4—71no—
827C4×C22⋊C4—71no—
828C4×C22⋊C4—71no—
829C4×C22⋊C4—71no—
830C4×C22⋊C4—71no—
831C4×C22⋊C4C2×D711yescharacteristic
832C43—71no—
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—44no—
859C23×C7—44no—
860C23×C7—44no—
861C23×C7—82no—
862C23×C7—82no—
863C23×C7—82no—
864C23×C7—82no—
865C23×C7C22×D412yes—
866C23×C7C2×#4112yes—
867C23×C7C2×#4112yes—
868C23×C7C2511yescharacteristic
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—21no—
884C22×D7—21no—
885C22×D7—21no—
886C22×D7—21no—
887C22×D7—21no—
888C22×D7—21no—
889C22×D7—21no—
890C22×D7—21no—
891C22×D7—21no—
892C22×D7—21no—
893C22×D7—21no—
894C22×D7—21no—
895C22×D7—21no—
896C22×D7—44no—
897C22×D7—44no—
898C22×D7—44no—
899C22×D7—82no—
900C22×D7—82no—
901C22×D7—82no—
902C22×D7—82no—
903C22×D7C22×D412yes—
904C7×Q8—82no—
905C7×D4—44no—
906C7×D4—82no—
907C7×D4—82no—
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—21no—
928C2×C4×C7—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—21no—
932C2×C4×C7—21no—
933C2×C4×C7—21no—
934C2×C4×C7—21no—
935C2×C4×C7—21no—
936C2×C4×C7—21no—
937C2×C4×C7—21no—
938C2×C4×C7—44no—
939C2×C4×C7—82no—
940C2×C4×C7C22×D412yes—
941C2×C4×C7C22×D412yes—
942C2×C4×C7H(5,𝔽2)12yes—
943C22⋊D7—28no—
944C22⋊D7—44no—
945C22⋊D7—44no—
946C22⋊D7—44no—
947C22⋊D7—44no—
948C22⋊D7—44no—
949C22⋊D7—44no—
950C22⋊D7—82no—
951C22⋊D7—82no—
952C22⋊D7—82no—
953C22⋊D7—82no—
954C22⋊D7—82no—
955C22⋊D7—82no—
956C22⋊D7—82no—
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—28no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—21no—
973C2×Dic7—21no—
974C2×Dic7—21no—
975C2×Dic7—21no—
976C2×Dic7—21no—
977C2×Dic7—21no—
978C2×Dic7—21no—
979C2×Dic7—21no—
980C2×Dic7—21no—
981C2×Dic7—21no—
982C2×Dic7—21no—
983C2×Dic7—21no—
984C2×Dic7—21no—
985C2×Dic7—44no—
986C2×Dic7—82no—
987C2×Dic7—82no—
988C2×Dic7C22×D412yes—
989C2×Dic7C22×D412yes—
990C2×Dic7C22×D412yes—
991C2×Dic7C2×#4112yes—
992C2×Dic7C2×#4112yes—
993C2×Dic7C2×#4112yes—
994C2×Dic7C2×#4112yes—
995C2×Dic7H(5,𝔽2)12yes—
996C2×Dic7H(5,𝔽2)12yes—
997D28—82no—
998D28—82no—
999D28—82no—
1000D28—82no—
1001D28—82no—
1002C4×D7—44no—
1003C4×D7—44no—
1004C4×D7—44no—
1005C4×D7—82no—
1006Dic14—82no—
1007C25—71no—
1008C25C22×D711yescharacteristic
1009C22×Q8—71no—
1010C22×Q8C22×D711yescharacteristic
1011C22×D4—71no—
1012C22×D4—71no—
1013C22×D4—71no—
1014C22×D4—71no—
1015C22×D4—71no—
1016C22×D4—71no—
1017C22×D4—71no—
1018C22×D4—71no—
1019C22×D4—71no—
1020C22×D4—71no—
1021C22×D4—71no—
1022C22×D4—71no—
1023C22×D4—71no—
1024C22×D4—71no—
1025C22×D4—71no—
1026C22×D4—71no—
1027C22×D4—71no—
1028C22×D4—71no—
1029C22×D4—71no—
1030C22×D4—144no—
1031C22×D4—282no—
1032C22×D4—282no—
1033C22×D4C22×D711yescharacteristic
1034C22×D4C22×D711yescharacteristic
1035C22×D4C22×D711yescharacteristic
1036C23×C4—71no—
1037C23×C4—71no—
1038C23×C4—71no—
1039C23×C4—71no—
1040C23×C4—71no—
1041C23×C4—71no—
1042C23×C4—71no—
1043C23×C4—71no—
1044C23×C4C22×D711yescharacteristic
1045C23×C4C22×D711yescharacteristic
1046C4⋊Q8—282no—
1047#127—282no—
1048#127—282no—
1049#126—144no—
1050#126—144no—
1051#126—144no—
1052#126—144no—
1053#124—42no—
1054#124—144no—
1055#124—144no—
1056#124—144no—
1057#124—144no—
1058#124—282no—
1059#123—144no—
1060#123—144no—
1061#123—144no—
1062#123—144no—
1063C22⋊Q8—24no—
1064C22⋊Q8—144no—
1065#121—144no—
1066#121—144no—
1067#121—144no—
1068#121—144no—
1069#121—144no—
1070#121—144no—
1071#121—144no—
1072#121—282no—
1073#121—282no—
1074#121—282no—
1075#121—282no—
1076#121—282no—
1077#120—24no—
1078#120—144no—
1079#120—144no—
1080#120—144no—
1081#120—144no—
1082#120—144no—
1083C4×D4—78no—
1084C4×D4—144no—
1085C4×D4—144no—
1086C4×D4—144no—
1087C4×D4—144no—
1088C4×D4—282no—
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⋊C4—71no—
1099C2×C4⋊C4—71no—
1100C2×C4⋊C4—71no—
1101C2×C4⋊C4—71no—
1102C2×C4⋊C4—71no—
1103C2×C4⋊C4—71no—
1104C2×C4⋊C4—71no—
1105C2×C4⋊C4—71no—
1106C2×C4⋊C4—71no—
1107C2×C4⋊C4—71no—
1108C2×C4⋊C4—71no—
1109C2×C4⋊C4—71no—
1110C2×C4⋊C4—282no—
1111C2×C4⋊C4C22×D711yescharacteristic
1112C2×C4⋊C4C22×D711yescharacteristic
1113C2×C4⋊C4C22×D711yescharacteristic
1114C2×C22⋊C4—42no—
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—71no—
1149C2×C22⋊C4—71no—
1150C2×C22⋊C4—71no—
1151C2×C22⋊C4—71no—
1152C2×C22⋊C4—71no—
1153C2×C22⋊C4—71no—
1154C2×C22⋊C4—71no—
1155C2×C22⋊C4—71no—
1156C2×C22⋊C4—71no—
1157C2×C22⋊C4—71no—
1158C2×C22⋊C4—144no—
1159C2×C22⋊C4—144no—
1160C2×C22⋊C4—282no—
1161C2×C22⋊C4C22×D711yescharacteristic
1162C2×C22⋊C4C22×D711yescharacteristic
1163C2×C22⋊C4C22×D711yescharacteristic
1164C2×C22⋊C4C22×D711yescharacteristic
1165C2×C22⋊C4C22×D711yescharacteristic
1166C2×C22⋊C4C22×D711yescharacteristic
1167C2×C22⋊C4C22×D711yescharacteristic
1168C2×C22⋊C4C22×D711yescharacteristic
1169C2×C22⋊C4C22×D711yescharacteristic
1170C2×C22⋊C4C22×D711yescharacteristic
1171C2×C22⋊C4C22×D711yescharacteristic
1172C2×C22⋊C4C22×D711yescharacteristic
1173C2×C22⋊C4C22×D711yescharacteristic
1174C2×C22⋊C4C22×D711yescharacteristic
1175C2×C22⋊C4C22×D711yescharacteristic
1176C2×C22⋊C4C22×D711yescharacteristic
1177C2×C22⋊C4C22×D711yescharacteristic
1178C2×C42—71no—
1179C2×C42—71no—
1180C2×C42—71no—
1181C2×C42—71no—
1182C2×C42—71no—
1183C2×C42—71no—
1184C2×C42—71no—
1185C2×C42—71no—
1186C2×C42—71no—
1187C2×C42—71no—
1188C2×C42—71no—
1189C2×C42—71no—
1190C2×C42—71no—
1191C2×C42—282no—
1192C2×C42—282no—
1193C2×C42C22×D711yescharacteristic
1194C2×C42C22×D711yescharacteristic
1195#95—71no—
1196#95—71no—
1197#95—71no—
1198#95—71no—
1199#95—71no—
1200#95—71no—
1201#95—71no—
1202#95—71no—
1203#95—71no—
1204#95—71no—
1205#95—71no—
1206#95—71no—
1207#95—71no—
1208#95—71no—
1209#95C22×D711yescharacteristic
1210#95C22×D711yescharacteristic
1211#95C22×D711yescharacteristic
1212#95C22×D711yescharacteristic
1213#95C22×D711yescharacteristic
1214#95C22×D711yescharacteristic
1215C22×C7—22no—
1216C22×C7—22no—
1217C22×C7—22no—
1218C22×C7—22no—
1219C22×C7—22no—
1220C22×C7—22no—
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—41no—
1239C22×C7—41no—
1240C22×C7—41no—
1241C22×C7—41no—
1242C22×C7—88no—
1243C22×C7#53214yes—
1244C22×C7C23×D411yescharacteristic
1245C22×C7C22×#4111yescharacteristic
1246C22×C7C22×#4111yescharacteristic
1247C22×C7C2×H(5,𝔽2)11yescharacteristic
1248C22×C7C2×H(5,𝔽2)11yescharacteristic
1249C22×C7C2×H(5,𝔽2)11yescharacteristic
1250C22×C7#58511yescharacteristic
1251C2×D7—22no—
1252C2×D7—22no—
1253C2×D7—22no—
1254C2×D7—41no—
1255C2×D7—41no—
1256C2×D7—41no—
1257C2×D7—41no—
1258C2×D7—41no—
1259C2×D7—41no—
1260C2×D7—41no—
1261C2×D7—41no—
1262C2×D7—41no—
1263C2×D7—41no—
1264C2×D7—41no—
1265C2×D7—41no—
1266C2×D7—41no—
1267C2×D7—41no—
1268C2×D7—41no—
1269C2×D7—41no—
1270C2×D7—41no—
1271C2×D7—41no—
1272C2×D7—41no—
1273C2×D7—41no—
1274C2×D7—41no—
1275C2×D7—41no—
1276C2×D7—41no—
1277C2×D7—41no—
1278C2×D7—41no—
1279C2×D7—88no—
1280C4×C7—22no—
1281C4×C7—22no—
1282C4×C7—22no—
1283C4×C7—41no—
1284C4×C7—41no—
1285C4×C7—41no—
1286C4×C7—41no—
1287C4×C7—41no—
1288C4×C7—41no—
1289C4×C7—41no—
1290C4×C7—41no—
1291Dic7—22no—
1292Dic7—22no—
1293Dic7—22no—
1294Dic7—22no—
1295Dic7—22no—
1296Dic7—22no—
1297Dic7—41no—
1298Dic7—41no—
1299Dic7—41no—
1300Dic7—41no—
1301Dic7—41no—
1302Dic7#53814yescomplemented
1303C24—22no—
1304C24—22no—
1305C24—22no—
1306C24—41no—
1307C24—41no—
1308C24—41no—
1309C24—41no—
1310C24—71no—
1311C24—71no—
1312C24—71no—
1313C24—71no—
1314C24—142no—
1315C24—142no—
1316C24—142no—
1317C24—281no—
1318C24—281no—
1319C24—281no—
1320C24—281no—
1321C24C23×D711yescharacteristic
1322C24C23×D711yescharacteristic
1323C24C23×D711yescharacteristic
1324C24C23×D711yescharacteristic
1325C2×Q8—22no—
1326C2×Q8—41no—
1327C2×Q8—41no—
1328C2×Q8—142no—
1329C2×Q8—281no—
1330C2×Q8—281no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—74no—
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—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—142no—
1362C2×D4—142no—
1363C2×D4—142no—
1364C2×D4—142no—
1365C2×D4—142no—
1366C2×D4—142no—
1367C2×D4—142no—
1368C2×D4—142no—
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—
1379C2×D4—281no—
1380C2×D4—281no—
1381C2×D4—281no—
1382C2×D4—281no—
1383C2×D4—2816no—
1384C2×D4—281no—
1385C2×D4—281no—
1386C2×D4—281no—
1387C2×D4—281no—
1388C2×D4—281no—
1389C2×D4—281no—
1390C2×D4—281no—
1391C2×D4—281no—
1392C2×D4—281no—
1393C2×D4—281no—
1394C2×D4—281no—
1395C2×D4—281no—
1396C2×D4—281no—
1397C2×D4—281no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—71no—
1405C22×C4—74no—
1406C22×C4—71no—
1407C22×C4—71no—
1408C22×C4—71no—
1409C22×C4—71no—
1410C22×C4—71no—
1411C22×C4—71no—
1412C22×C4—74no—
1413C22×C4—74no—
1414C22×C4—71no—
1415C22×C4—71no—
1416C22×C4—71no—
1417C22×C4—71no—
1418C22×C4—71no—
1419C22×C4—142no—
1420C22×C4—142no—
1421C22×C4—142no—
1422C22×C4—142no—
1423C22×C4—142no—
1424C22×C4—142no—
1425C22×C4—142no—
1426C22×C4—142no—
1427C22×C4—142no—
1428C22×C4—142no—
1429C22×C4—281no—
1430C22×C4—281no—
1431C22×C4—281no—
1432C22×C4—281no—
1433C22×C4—281no—
1434C22×C4—281no—
1435C22×C4—281no—
1436C22×C4—281no—
1437C22×C4—281no—
1438C22×C4—281no—
1439C22×C4—281no—
1440C22×C4C23×D711yescharacteristic
1441C22×C4C23×D711yescharacteristic
1442C22×C4C23×D711yescharacteristic
1443C22×C4C23×D711yescharacteristic
1444C22×C4C23×D711yescharacteristic
1445C22×C4C23×D711yescharacteristic
1446C22×C4C23×D711yescharacteristic
1447C22×C4C23×D711yescharacteristic
1448C22×C4C23×D711yescharacteristic
1449C22×C4C23×D711yescharacteristic
1450C22×C4C23×D711yescharacteristic
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—74no—
1455C4⋊C4—142no—
1456C4⋊C4—142no—
1457C4⋊C4—142no—
1458C4⋊C4—142no—
1459C4⋊C4—142no—
1460C4⋊C4—142no—
1461C4⋊C4—142no—
1462C4⋊C4—142no—
1463C4⋊C4—142no—
1464C4⋊C4—142no—
1465C4⋊C4—142no—
1466C4⋊C4—142no—
1467C4⋊C4—142no—
1468C4⋊C4—142no—
1469C4⋊C4—281no—
1470C4⋊C4—281no—
1471C4⋊C4—281no—
1472C4⋊C4—281no—
1473C4⋊C4—281no—
1474C4⋊C4—281no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—74no—
1492C22⋊C4—74no—
1493C22⋊C4—142no—
1494C22⋊C4—142no—
1495C22⋊C4—142no—
1496C22⋊C4—142no—
1497C22⋊C4—142no—
1498C22⋊C4—142no—
1499C22⋊C4—142no—
1500C22⋊C4—142no—
1501C22⋊C4—142no—
1502C22⋊C4—142no—
1503C22⋊C4—142no—
1504C22⋊C4—142no—
1505C22⋊C4—142no—
1506C22⋊C4—142no—
1507C22⋊C4—142no—
1508C22⋊C4—142no—
1509C22⋊C4—142no—
1510C22⋊C4—142no—
1511C22⋊C4—142no—
1512C22⋊C4—142no—
1513C22⋊C4—142no—
1514C22⋊C4—142no—
1515C22⋊C4—142no—
1516C22⋊C4—142no—
1517C22⋊C4—142no—
1518C22⋊C4—142no—
1519C22⋊C4—142no—
1520C22⋊C4—142no—
1521C22⋊C4—142no—
1522C22⋊C4—142no—
1523C22⋊C4—142no—
1524C22⋊C4—142no—
1525C22⋊C4—281no—
1526C22⋊C4—281no—
1527C22⋊C4—281no—
1528C22⋊C4—281no—
1529C22⋊C4—281no—
1530C22⋊C4—281no—
1531C22⋊C4—281no—
1532C22⋊C4—281no—
1533C22⋊C4—281no—
1534C22⋊C4D4×D714yes—
1535C42—22no—
1536C42—41no—
1537C42—74no—
1538C42—142no—
1539C42—142no—
1540C42—142no—
1541C42—142no—
1542C42—142no—
1543C42—142no—
1544C42—142no—
1545C42—142no—
1546C42—281no—
1547C42—281no—
1548C42—281no—
1549C42—281no—
1550C2×C7—24no—
1551C2×C7—81no—
1552C2×C7—81no—
1553C2×C7—81no—
1554C2×C7C2×#53211yescharacteristic
1555C2×C7C2×#53811yescharacteristic
1556C2×C7#346011yescharacteristic
1557C2×C7#349611yescharacteristic
1558C2×C7#349811yescharacteristic
1559C2×C7#351411yescharacteristic
1560C2×C7#351911yescharacteristic
1561D7—42no—
1562D7—81no—
1563D7—81no—
1564D7—81no—
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—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—72no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—141no—
1599C23—141no—
1600C23—141no—
1601C23—141no—
1602C23—141no—
1603C23—141no—
1604C23—141no—
1605C23—141no—
1606C23—141no—
1607C23—141no—
1608C23—141no—
1609C23—141no—
1610C23—141no—
1611C23—141no—
1612C23—141no—
1613C23—141no—
1614C23—141no—
1615C23—141no—
1616C23—141no—
1617C23—141no—
1618C23—141no—
1619C23—141no—
1620C23—141no—
1621C23—141no—
1622C23—141no—
1623C23—141no—
1624C23—141no—
1625C23—284no—
1626C23—284no—
1627C23—284no—
1628C23—562no—
1629C23—562no—
1630C23—562no—
1631C23—562no—
1632C23C2×D4×D712yes—
1633C23D7×#4112yes—
1634C23D7×#4112yes—
1635C23C24×D711yescharacteristic
1636Q8—82no—
1637Q8—562no—
1638D4—44no—
1639D4—82no—
1640D4—82no—
1641D4—148no—
1642D4—284no—
1643D4—284no—
1644D4—284no—
1645D4—284no—
1646D4—284no—
1647D4—284no—
1648D4—562no—
1649D4—562no—
1650D4—562no—
1651D4—562no—
1652D4—562no—
1653D4—562no—
1654D4—562no—
1655D4—562no—
1656D4—562no—
1657D4—562no—
1658D4—562no—
1659D4—562no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—44no—
1691C2×C4—72no—
1692C2×C4—72no—
1693C2×C4—72no—
1694C2×C4—72no—
1695C2×C4—72no—
1696C2×C4—72no—
1697C2×C4—72no—
1698C2×C4—72no—
1699C2×C4—72no—
1700C2×C4—82no—
1701C2×C4—148no—
1702C2×C4—141no—
1703C2×C4—141no—
1704C2×C4—141no—
1705C2×C4—141no—
1706C2×C4—141no—
1707C2×C4—141no—
1708C2×C4—141no—
1709C2×C4—141no—
1710C2×C4—141no—
1711C2×C4—141no—
1712C2×C4—141no—
1713C2×C4—141no—
1714C2×C4—141no—
1715C2×C4—141no—
1716C2×C4—141no—
1717C2×C4—141no—
1718C2×C4—141no—
1719C2×C4—141no—
1720C2×C4—141no—
1721C2×C4—141no—
1722C2×C4—141no—
1723C2×C4—141no—
1724C2×C4—141no—
1725C2×C4—141no—
1726C2×C4—141no—
1727C2×C4—141no—
1728C2×C4—141no—
1729C2×C4—284no—
1730C2×C4—284no—
1731C2×C4—284no—
1732C2×C4—284no—
1733C2×C4—562no—
1734C2×C4—562no—
1735C2×C4—562no—
1736C2×C4C2×D4×D712yes—
1737C2×C4C2×D4×D712yes—
1738C2×C4#654812yes—
1739C7#3500711yescharacteristic, complemented, Sylow
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—88no—
1768C22—142no—
1769C22—142no—
1770C22—142no—
1771C22—281no—
1772C22—281no—
1773C22—281no—
1774C22—281no—
1775C22—281no—
1776C22—281no—
1777C22—281no—
1778C22—281no—
1779C22—281no—
1780C22—281no—
1781C22—281no—
1782C22—281no—
1783C22—281no—
1784C22—281no—
1785C22—281no—
1786C22—281no—
1787C22—281no—
1788C22—281no—
1789C22—281no—
1790C22—281no—
1791C22—281no—
1792C22—281no—
1793C22—281no—
1794C22—281no—
1795C22—281no—
1796C22—568no—
1797C22#9035914yes—
1798C22C22×D4×D711yescharacteristic
1799C22C2×#654811yescharacteristic
1800C22C2×D7×#4111yescharacteristic
1801C22C2×D7×#4111yescharacteristic
1802C22#9061611yescharacteristic
1803C22D7×H(5,𝔽2)11yescharacteristic
1804C22D7×H(5,𝔽2)11yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—74no—
1817C4—142no—
1818C4—142no—
1819C4—142no—
1820C4—142no—
1821C4—142no—
1822C4—142no—
1823C4—281no—
1824C4—281no—
1825C4—281no—
1826C4—281no—
1827C4—281no—
1828C2—24no—
1829C2—81no—
1830C2—81no—
1831C2—81no—
1832C2—282no—
1833C2—561no—
1834C2—561no—
1835C2—561no—
1836C2#1174308811yescharacteristic
1837C2C2×#9035911yescharacteristic
1838C2D7×#53811yescharacteristic
1839C2#1174367611yescharacteristic
1840C2#1174370711yescharacteristic
1841C2#1174373311yescharacteristic
1842C2#1174386511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2472C2
hypercenter#2472D7
hypocenterC7#35007
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#90335C2semidirect
2. C2×#90284C2semidirect
3. C7×#2472C2semidirect
4. #11740438C2semidirect
5. #11740420C2semidirect
6. #11740208C2semidirect
7. #11740033C2semidirect
8. #11739554C2semidirect
9. C2×#89729C2semidirect
10. #11735009C2semidirect
11. #11734938C2semidirect
12. #11734442C2semidirect
13. #11734440C2semidirect
14. #11734352C2semidirect
15. #11734348C2semidirect
16. #11734264C2semidirect
17. #11734237C2semidirect
18. #11733921C2semidirect
19. #11733800C2semidirect
20. #11733405C2semidirect
21. #11733265C2semidirect
22. #11733042C2semidirect
23. #11733041C2semidirect
24. #11732338C2semidirect
25. #11732320C2semidirect
26. #11732137C2semidirect
27. #11732105C2semidirect
28. #11731269C2semidirect
29. #11731266C2semidirect
30. #11731039C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
33. C2×C7×#124C22semidirect
40. C2×#6510C22semidirect
41. C2×#6510C22semidirect
42. C2×#6507C22semidirect
47. C2×#6502C22semidirect
48. C2×#6501C22semidirect
50. C2×#6499C22semidirect
51. C2×#6498C22semidirect
61. C2×#6461C22semidirect
62. C2×#6461C22semidirect
63. C2×#6458C22semidirect
64. C2×#6458C22semidirect
65. C2×#6457C22semidirect
66. C2×#6457C22semidirect
67. C2×#6448C22semidirect
70. C2×#6447C22semidirect
71. C2×#6447C22semidirect
72. C2×#6447C22semidirect
73. C2×#6446C22semidirect
79. C2×(C22⋊D7)⋊C4C22semidirect
80. C2×#6442C22semidirect
81. C2×#6442C22semidirect
83. C2×#6438C22semidirect
84. C2×C42×D7C22semidirect
85. C7×#397C22semidirect
86. C7×#394C22semidirect
87. C7×#394C22semidirect
88. C7×#393C22semidirect
89. C7×#390C22semidirect
90. C7×#388C22semidirect
91. C7×#388C22semidirect
96. #90001C22semidirect
101. #89755C22semidirect
102. #89752C22semidirect
103. #89751C22semidirect
104. #89748C22semidirect
105. #89744C22semidirect
106. #89744C22semidirect
111. #89732C22semidirect
112. #89732C22semidirect
115. #89731C22semidirect
116. #89731C22semidirect
117. #89731C22semidirect
118. #89731C22semidirect
120. #89730C22semidirect
121. #89730C22semidirect
134. #89729C22semidirect
135. #89729C22semidirect
136. #89729C22semidirect
137. #89729C22semidirect
138. #89729C22semidirect
139. #89729C22semidirect
140. #89729C22semidirect
141. #89729C22semidirect
142. #89728C22semidirect
143. #89728C22semidirect
144. #89728C22semidirect
146. #89723C22semidirect
147. #89720C22semidirect
148. #89720C22semidirect
150. #89717C22semidirect
151. #89717C22semidirect
152. #89716C22semidirect
153. #89716C22semidirect
154. #89716C22semidirect
158. C22⋊C4×Dic7C22semidirect
159. #89712C22semidirect
160. #89712C22semidirect
161. #89711C22semidirect
162. C4×(C2×D7)⋊C4C22semidirect
163. C4×Dic7⋊C4C22semidirect
164. C42×Dic7C22semidirect
165. #89448C22semidirect
166. #89448C22semidirect
167. #89446C22semidirect
168. #89445C22semidirect
169. #89444C22semidirect
170. #89444C22semidirect
171. #89444C22semidirect
172. #89444C22semidirect
173. #89442C22semidirect
174. #89442C22semidirect
175. #89442C22semidirect
176. #89441C22semidirect
177. #89441C22semidirect
178. #89441C22semidirect
179. #89439C22semidirect
180. #89438C22semidirect
181. #89438C22semidirect
182. #89438C22semidirect
183. #89437C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89421C22semidirect
187. #89419C22semidirect
188. #89419C22semidirect
372. (C22⋊D7)⋊C4D4semidirect
415. #2472D7semidirect
573. C2×C4×D7C2×D4semidirect
641. (C2×D7)⋊C4C2×D4semidirect
662. Dic7⋊C4C2×D4semidirect
675. C4×Dic7C2×D4semidirect
691. C2×#124C2×D7semidirect
732. #397C2×D7semidirect
749. #394C2×D7semidirect
750. #394C2×D7semidirect
752. #393C2×D7semidirect
782. #390C2×D7semidirect
801. #388C2×D7semidirect
802. #388C2×D7semidirect
1302. Dic7#538semidirect
1739. C7#35007semidirect

Maximal subgroups

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

subgroupindex
C2×#903352
C2×#902842
C7×#24722
#117404382
#117404202
#117402082
#117400332
#117395542
C2×#897292
#117350092
#117349382
#117344422
#117344402
#117343522
#117343482
#117342642
#117342372
#117339212
#117338002
#117334052
#117332652
#117330422
#117330412
#117323382
#117323202
#117321372
#117321052
#117312692
#117312662
#117310392
C4×(C22⋊D7)⋊C42
#350077