Finite Group Databasebeta

← #13526749

Subgroups — #13526749

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×#90395C211yesmaximal, characteristic, complemented
2C2×#90348C211yesmaximal, characteristic, complemented
3C7×#2554C211yesmaximal, characteristic, complemented
4#11740529C211yesmaximal, characteristic, complemented
5#11740294C211yesmaximal, characteristic, complemented
6#11735283C211yesmaximal, characteristic, complemented
7#11735190C211yesmaximal, characteristic, complemented
8#11734789C211yesmaximal, characteristic, complemented
9#11734729C211yesmaximal, characteristic, complemented
10#11734441C211yesmaximal, characteristic, complemented
11#11734340C211yesmaximal, characteristic, complemented
12#11734153C211yesmaximal, characteristic, complemented
13#11734118C211yesmaximal, characteristic, complemented
14#11733921C211yesmaximal, characteristic, complemented
15#11733887C211yesmaximal, characteristic, complemented
16D7×#390C211yesmaximal, characteristic, complemented
17#11733869C211yesmaximal, characteristic, complemented
18#11733801C211yesmaximal, characteristic, complemented
19#11733775C211yesmaximal, characteristic, complemented
20#11733405C211yesmaximal, characteristic, complemented
21#11733291C211yesmaximal, characteristic, complemented
22#11733272C211yesmaximal, characteristic, complemented
23#11733265C211yesmaximal, characteristic, complemented
24#11732991C211yesmaximal, characteristic, complemented
25#11732972C211yesmaximal, characteristic, complemented
26#11732321C211yesmaximal, characteristic, complemented
27#11732143C211yesmaximal, characteristic, complemented
28#11731248C211yesmaximal, characteristic, complemented
29C4×#6456C211yesmaximal, characteristic, complemented
30#11731045C211yesmaximal, characteristic, complemented
31C4×#6447C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C2×C7×#126C2211yescharacteristic, complemented
34C2×C7×#123C2211yescharacteristic, complemented
35C2×#6503C2211yescharacteristic
36C2×#6503C2211yescharacteristic
37C2×#6501C2211yescharacteristic, complemented
38C2×#6500C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×#6493C2211yescharacteristic, complemented
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic, complemented
43#90395—28no—
44#90348—28no—
45C2×#6461C2211yescharacteristic, complemented
46C2×#6461C2211yescharacteristic, complemented
47C2×#6460C2211yescharacteristic
48C2×#6459C2211yescharacteristic
49C2×#6458C2211yescharacteristic
50C2×#6458C2211yescharacteristic, complemented
51C2×#6457C2211yescharacteristic, complemented
52C2×#6457C2211yescharacteristic, complemented
53C2×#6456C2211yescharacteristic
54C2×#6456C2211yescharacteristic
55C2×D7×C4⋊C4C2211yescharacteristic
56C2×#6451C2211yescharacteristic, complemented
57C2×#6448C2211yescharacteristic, complemented
58C2×#6448C2211yescharacteristic, complemented
59C2×#6448C2211yescharacteristic, complemented
60C2×#6448C2211yescharacteristic, complemented
61C2×#6448C2211yescharacteristic, complemented
62C2×#6447C2211yescharacteristic
63C2×#6447C2211yescharacteristic
64C2×#6447C2211yescharacteristic
65C2×#6447C2211yescharacteristic
66C2×#6447C2211yescharacteristic, complemented
67C2×#6447C2211yescharacteristic, complemented
68C2×#6447C2211yescharacteristic, complemented
69C2×#6447C2211yescharacteristic, complemented
70C2×#6446C2211yescharacteristic, complemented
71C2×#6445C2211yescharacteristic
72C2×#6445C2211yescharacteristic
73C2×#6445C2211yescharacteristic
74C2×#6445C2211yescharacteristic
75C2×D7×C22⋊C4C2211yescharacteristic
76C2×D7×C22⋊C4C2211yescharacteristic
77C2×D7×C22⋊C4C2211yescharacteristic
78C2×D7×C22⋊C4C2211yescharacteristic
79C2×#6442C2211yescharacteristic, complemented
80C2×#6438C2211yescharacteristic, complemented
81C2×C4×D28C2211yescharacteristic
82C2×C4×D28C2211yescharacteristic
83C2×C42×D7C2211yescharacteristic
84C2×C42×D7C2211yescharacteristic, complemented
85C7×#398C2211yescharacteristic, complemented
86C7×#396C2211yescharacteristic, complemented
87C7×#394C2211yescharacteristic
88C7×#392C2211yescharacteristic
89C7×#390C2211yescharacteristic
90C7×#390C2211yescharacteristic, complemented
91C7×#390C2211yescharacteristic, complemented
92C7×#388C2211yescharacteristic, complemented
93C7×#388C2211yescharacteristic, complemented
94C7×#388C2211yescharacteristic, complemented
95C7×#386C2211yescharacteristic, complemented
96C4×C7×C4⋊C4C2211yescharacteristic, complemented
97C4×C7×C22⋊C4C2211yescharacteristic, complemented
98#89995C2211yescharacteristic
99#89995C2211yescharacteristic
100#89995C2211yescharacteristic, complemented
101#89994C2211yescharacteristic, complemented
102#89993C2211yescharacteristic
103#89993C2211yescharacteristic, complemented
104#89985C2211yescharacteristic, complemented
105#89766C2211yescharacteristic, complemented
106#89766C2211yescharacteristic, complemented
107#89765C2211yescharacteristic, complemented
108#89763C2211yescharacteristic
109#89763C2211yescharacteristic, complemented
110#89763C2211yescharacteristic, complemented
111#89763C2211yescharacteristic, complemented
112#89761C2211yescharacteristic
113#89760C2211yescharacteristic
114#89760C2211yescharacteristic, complemented
115#89751C2211yescharacteristic, complemented
116#89748C2211yescharacteristic, complemented
117C4⋊C4×Dic7C2211yescharacteristic, complemented
118C4⋊C4×Dic7C2211yescharacteristic, complemented
119#89744C2211yescharacteristic, complemented
120#89744C2211yescharacteristic, complemented
121#89733C2211yescharacteristic, complemented
122#89733C2211yescharacteristic, complemented
123#89733C2211yescharacteristic, complemented
124#89733C2211yescharacteristic, complemented
125#89733C2211yescharacteristic, complemented
126#89732C2211yescharacteristic
127#89731C2211yescharacteristic, complemented
128#89729C2211yescharacteristic
129#89729C2211yescharacteristic
130#89729C2211yescharacteristic
131#89729C2211yescharacteristic
132#89729C2211yescharacteristic
133#89729C2211yescharacteristic
134#89729C2211yescharacteristic
135#89729C2211yescharacteristic
136#89729C2211yescharacteristic, complemented
137#89729C2211yescharacteristic, complemented
138#89729C2211yescharacteristic, complemented
139#89729C2211yescharacteristic, complemented
140#89728C2211yescharacteristic
141#89728C2211yescharacteristic
142#89728C2211yescharacteristic, complemented
143#89728C2211yescharacteristic, complemented
144#89727C2211yescharacteristic
145#89727C2211yescharacteristic
146#89725C2211yescharacteristic, complemented
147#89723C2211yescharacteristic, complemented
148#89723C2211yescharacteristic, complemented
149#89720C2211yescharacteristic, complemented
150#89719C2211yescharacteristic, complemented
151#89716C2211yescharacteristic, complemented
152#89716C2211yescharacteristic, complemented
153#89716C2211yescharacteristic, complemented
154#89712C2211yescharacteristic, complemented
155#89712C2211yescharacteristic, complemented
156#89712C2211yescharacteristic, complemented
157#89711C2211yescharacteristic
158#89711C2211yescharacteristic, complemented
159#89711C2211yescharacteristic, complemented
160C4×(C2×D7)⋊C4C2211yescharacteristic
161C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
163C4×Dic7⋊C4C2211yescharacteristic, complemented
164C42×Dic7C2211yescharacteristic, complemented
165#89445C2211yescharacteristic, complemented
166#89443C2211yescharacteristic
167#89443C2211yescharacteristic
168#89443C2211yescharacteristic, complemented
169#89442C2211yescharacteristic, complemented
170#89442C2211yescharacteristic, complemented
171#89442C2211yescharacteristic, complemented
172#89441C2211yescharacteristic, complemented
173#89441C2211yescharacteristic, complemented
174#89440C2211yescharacteristic
175#89439C2211yescharacteristic
176#89439C2211yescharacteristic, complemented
177#89438C2211yescharacteristic
178#89438C2211yescharacteristic
179#89438C2211yescharacteristic, complemented
180#89438C2211yescharacteristic, complemented
181#89437C2211yescharacteristic
182#89437C2211yescharacteristic
183#89437C2211yescharacteristic, complemented
184#89437C2211yescharacteristic, complemented
185#89433C2211yescharacteristic, complemented
186#89428C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#35007—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C2×D4×D7—24no—
208C2×D4×D7—42no—
209C2×D4×D7—42no—
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×D28C2311yescharacteristic
216C22×D28C2311yescharacteristic
217C22×D28C2311yescharacteristic
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
228C22×Dic14C2311yescharacteristic
229C7×#126—24no—
230C7×#123—24no—
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊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×C42×C7C2311yescharacteristic
253C2×C42×C7C2311yescharacteristic
254C2×C42×C7C2311yescharacteristic
255C2×C42×C7C2311yescharacteristic
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
267#6503—42no—
268#6503—42no—
269#6501—24no—
270#6500—24no—
271#6500—24no—
272#6493—24no—
273C4×C22⋊D7—24no—
274C4×C22⋊D7—42no—
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
311C2×C4⋊Dic7C2311yescharacteristic
312C2×C4⋊Dic7C2311yescharacteristic
313C2×C4⋊Dic7C2311yescharacteristic
314C2×C4⋊Dic7C2311yescharacteristic
315C2×C4⋊Dic7C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338#6461—24no—
339#6461—24no—
340#6460—24no—
341#6459—24no—
342#6458—24no—
343#6458—24no—
344#6457—24no—
345#6457—24no—
346#6456—24no—
347#6456D418yescomplemented
348D7×C4⋊C4—42no—
349#6451—42no—
350#6448—24no—
351#6448—24no—
352#6448—24no—
353#6448—42no—
354#6448—42no—
355#6447—24no—
356#6447—24no—
357#6447—24no—
358#6447—42no—
359#6447—42no—
360#6447—42no—
361#6447—42no—
362#6447—42no—
363#6446—24no—
364#6445—24no—
365#6445—24no—
366#6445—24no—
367#6445—24no—
368D7×C22⋊C4—24no—
369D7×C22⋊C4—24no—
370D7×C22⋊C4—42no—
371D7×C22⋊C4—42no—
372#6442—24no—
373#6438—24no—
374C4×D28—24no—
375C4×D28—24no—
376C42×D7—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#2554D711yescharacteristic, complemented
412#2512—71no—
413#2491—71no—
414#2472—71no—
415#2472—71no—
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×C7C2411yescharacteristic
430C24×C7C2411yescharacteristic
431C24×C7C2411yescharacteristic
432C23×D7—22no—
433C23×D7—22no—
434C23×D7—22no—
435C23×D7—22no—
436C23×D7—22no—
437C23×D7—22no—
438C23×D7—41no—
439C23×D7—41no—
440C23×D7—41no—
441C23×D7—41no—
442C23×D7—41no—
443C23×D7—41no—
444C23×D7—41no—
445C23×D7—41no—
446C23×D7C2411yescharacteristic
447C23×D7C2411yescharacteristic
448C23×D7C2411yescharacteristic
449C23×D7C2411yescharacteristic
450C23×D7C2411yescharacteristic
451C2×C7×D4—22no—
452C2×C7×D4—22no—
453C2×C7×D4—22no—
454C2×C7×D4—41no—
455C2×C7×D4—41no—
456C2×C7×D4—41no—
457C2×C7×D4—41no—
458C2×C7×D4—41no—
459C2×C7×D4—41no—
460C22×C4×C7—22no—
461C22×C4×C7—41no—
462C22×C4×C7—41no—
463C22×C4×C7C2411yescharacteristic
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—22no—
491C2×C22⋊D7—22no—
492C2×C22⋊D7—22no—
493C2×C22⋊D7—22no—
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—
505C2×C22⋊D7—41no—
506C2×C22⋊D7—41no—
507C2×C22⋊D7—41no—
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515C22×Dic7C2411yescharacteristic
516C22×Dic7C2411yescharacteristic
517C22×Dic7C2411yescharacteristic
518C22×Dic7C2411yescharacteristic
519D4×D7—416no—
520C2×D28—22no—
521C2×D28—22no—
522C2×D28—22no—
523C2×D28—22no—
524C2×D28—22no—
525C2×D28—22no—
526C2×D28—22no—
527C2×D28—22no—
528C2×D28—22no—
529C2×D28—22no—
530C2×D28—22no—
531C2×D28—41no—
532C2×D28—41no—
533C2×D28—41no—
534C2×D28—41no—
535C2×D28—41no—
536C2×D28—41no—
537C2×D28—41no—
538C2×D28—41no—
539C2×D28—41no—
540C2×D28—41no—
541C2×D28—41no—
542C2×D28—41no—
543C2×D28C2×D414yes—
544C2×C4×D7—22no—
545C2×C4×D7—22no—
546C2×C4×D7—22no—
547C2×C4×D7—22no—
548C2×C4×D7—22no—
549C2×C4×D7—22no—
550C2×C4×D7—22no—
551C2×C4×D7—22no—
552C2×C4×D7—22no—
553C2×C4×D7—22no—
554C2×C4×D7—22no—
555C2×C4×D7—22no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×C4×D7—41no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C2×C4×D7—41no—
562C2×C4×D7—41no—
563C2×C4×D7—41no—
564C2×C4×D7—41no—
565C2×C4×D7—41no—
566C2×C4×D7—41no—
567C2×C4×D7—41no—
568C2×C4×D7C2×D414yes—
569C2×C4×D7C2×D414yescomplemented
570C2×C4×D7#4114yes—
571C2×Dic14—22no—
572C2×Dic14—22no—
573C2×Dic14—41no—
574C2×Dic14—41no—
575C2×Dic14—41no—
576C2×Dic14—41no—
577C7×C4⋊C4—22no—
578C7×C4⋊C4—22no—
579C7×C4⋊C4—22no—
580C7×C4⋊C4—22no—
581C7×C4⋊C4—41no—
582C7×C4⋊C4—41no—
583C7×C4⋊C4C2×D414yescomplemented
584C7×C22⋊C4—22no—
585C7×C22⋊C4—22no—
586C7×C22⋊C4—22no—
587C7×C22⋊C4—22no—
588C7×C22⋊C4—22no—
589C7×C22⋊C4—22no—
590C7×C22⋊C4—22no—
591C7×C22⋊C4—22no—
592C7×C22⋊C4—22no—
593C7×C22⋊C4—22no—
594C7×C22⋊C4—22no—
595C7×C22⋊C4—41no—
596C7×C22⋊C4—41no—
597C7×C22⋊C4—41no—
598C42×C7—22no—
599C42×C7—22no—
600C42×C7—41no—
601C42×C7—41no—
602C22⋊Dic7—22no—
603C22⋊Dic7—22no—
604C22⋊Dic7—22no—
605C22⋊Dic7—22no—
606C22⋊Dic7—22no—
607C22⋊Dic7—41no—
608C22⋊Dic7—41no—
609C22⋊Dic7—41no—
610C22⋊Dic7—41no—
611C22⋊Dic7—41no—
612C22⋊Dic7—41no—
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—22no—
633(C2×D7)⋊C4—22no—
634(C2×D7)⋊C4—22no—
635(C2×D7)⋊C4—22no—
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)⋊C4—41no—
642(C2×D7)⋊C4—41no—
643(C2×D7)⋊C4—41no—
644(C2×D7)⋊C4—41no—
645(C2×D7)⋊C4C2×D414yes—
646(C2×D7)⋊C4C2×D414yescomplemented
647(C2×D7)⋊C4#4114yes—
648C4⋊Dic7—22no—
649C4⋊Dic7—22no—
650C4⋊Dic7—22no—
651C4⋊Dic7—22no—
652C4⋊Dic7—41no—
653C4⋊Dic7—41no—
654Dic7⋊C4—22no—
655Dic7⋊C4—22no—
656Dic7⋊C4—22no—
657Dic7⋊C4—22no—
658Dic7⋊C4—22no—
659Dic7⋊C4—22no—
660Dic7⋊C4—22no—
661Dic7⋊C4—22no—
662Dic7⋊C4—22no—
663Dic7⋊C4—41no—
664Dic7⋊C4—41no—
665C4×Dic7—22no—
666C4×Dic7—22no—
667C4×Dic7—22no—
668C4×Dic7—22no—
669C4×Dic7—22no—
670C4×Dic7—22no—
671C4×Dic7—22no—
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×#126C2×D711yescharacteristic, complemented
686C2×#124—71no—
687C2×#124—71no—
688C2×#124—71no—
689C2×#124—71no—
690C2×#124—71no—
691C2×#124—71no—
692C2×#123—71no—
693C2×#123—71no—
694C2×#123—71no—
695C2×#123C2×D711yescharacteristic, complemented
696C2×C22⋊Q8—71no—
697C2×C22⋊Q8—71no—
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×#120—71no—
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⋊C4—71no—
727C22×C42—71no—
728C22×C42—71no—
729#398—71no—
730#398C2×D711yescharacteristic, complemented
731#397—71no—
732#397—71no—
733#396—71no—
734#396—71no—
735#396—71no—
736#396C2×D711yescharacteristic, complemented
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#394—71no—
750#394C2×D711yescharacteristic
751#393—71no—
752#393—71no—
753#392—71no—
754#392—71no—
755#392—71no—
756#392—71no—
757#392—71no—
758#392—71no—
759#392—71no—
760#392C2×D711yescharacteristic
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#390C2×D711yescharacteristic
781#390C2×D711yescharacteristic, complemented
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#388C2×D711yescharacteristic, complemented
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#386—71no—
812#386C2×D711yescharacteristic, complemented
813#385—71no—
814#385—71no—
815#384—71no—
816#380—71no—
817#380—71no—
818#379—71no—
819#379—71no—
820C4×C4⋊C4—71no—
821C4×C4⋊C4—71no—
822C4×C4⋊C4—71no—
823C4×C4⋊C4C2×D711yescharacteristic, complemented
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, complemented
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×C7C2511yescharacteristic
855C22×D7—21no—
856C22×D7—21no—
857C22×D7—21no—
858C22×D7—21no—
859C22×D7—21no—
860C22×D7—21no—
861C22×D7—21no—
862C22×D7—21no—
863C22×D7—21no—
864C22×D7—21no—
865C22×D7—21no—
866C22×D7—21no—
867C22×D7—21no—
868C22×D7—21no—
869C22×D7—21no—
870C22×D7—21no—
871C22×D7—21no—
872C22×D7—21no—
873C22×D7—21no—
874C22×D7—21no—
875C22×D7—21no—
876C22×D7—21no—
877C22×D7—21no—
878C22×D7—21no—
879C22×D7—21no—
880C22×D7—21no—
881C22×D7—21no—
882C22×D7—21no—
883C22×D7—21no—
884C22×D7—21no—
885C22×D7—21no—
886C22×D7—44no—
887C22×D7—44no—
888C22×D7—44no—
889C22×D7—44no—
890C22×D7—44no—
891C22×D7—44no—
892C22×D7—82no—
893C22×D7—82no—
894C22×D7—82no—
895C22×D7—82no—
896C22×D7—82no—
897C22×D7—82no—
898C22×D7—82no—
899C22×D7—82no—
900C22×D7C22×D412yes—
901C22×D7C22×D412yes—
902C22×D7C2×#4112yes—
903C22×D7C2×#4112yes—
904C7×D4—44no—
905C7×D4—82no—
906C7×D4—82no—
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—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—82no—
938C2×C4×C7C22×D412yes—
939C2×C4×C7C22×D412yes—
940C2×C4×C7C22×D412yes—
941C2×C4×C7C2×#4112yes—
942C2×C4×C7C2×#4112yes—
943C2×C4×C7H(5,𝔽2)12yes—
944C22⋊D7—44no—
945C22⋊D7—44no—
946C22⋊D7—44no—
947C22⋊D7—44no—
948C22⋊D7—82no—
949C22⋊D7—82no—
950C22⋊D7—82no—
951C22⋊D7—82no—
952C22⋊D7—82no—
953C22⋊D7—82no—
954C22⋊D7—82no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—21no—
963C2×Dic7—21no—
964C2×Dic7—21no—
965C2×Dic7—21no—
966C2×Dic7—21no—
967C2×Dic7—21no—
968C2×Dic7—21no—
969C2×Dic7—21no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—21no—
973C2×Dic7—21no—
974C2×Dic7—21no—
975C2×Dic7—21no—
976C2×Dic7—21no—
977C2×Dic7—21no—
978C2×Dic7—21no—
979C2×Dic7—21no—
980C2×Dic7—21no—
981C2×Dic7—21no—
982C2×Dic7C22×D412yes—
983C2×Dic7C22×D412yes—
984C2×Dic7C2×#4112yes—
985C2×Dic7C2×#4112yes—
986C2×Dic7H(5,𝔽2)12yes—
987C2×Dic7H(5,𝔽2)12yes—
988D28—28no—
989D28—44no—
990D28—44no—
991D28—82no—
992D28—82no—
993D28—82no—
994D28—82no—
995D28—82no—
996C4×D7—28no—
997C4×D7—44no—
998C4×D7—44no—
999C4×D7—44no—
1000C4×D7—44no—
1001C4×D7—44no—
1002C4×D7—82no—
1003C4×D7—82no—
1004C4×D7—82no—
1005Dic14—82no—
1006Dic14—82no—
1007C25—71no—
1008C25—71no—
1009C22×Q8—71no—
1010C22×Q8—71no—
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×C4—71no—
1045C23×C4C22×D711yescharacteristic
1046C4⋊Q8—282no—
1047#127—282no—
1048#127—282no—
1049#126—24no—
1050#126—144no—
1051#126—144no—
1052#126—144no—
1053#124—144no—
1054#124—144no—
1055#124—144no—
1056#124—144no—
1057#124—282no—
1058#124—282no—
1059#123—24no—
1060#123—144no—
1061#123—144no—
1062#123—144no—
1063C22⋊Q8—144no—
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—144no—
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—282no—
1107C2×C4⋊C4C22×D711yescharacteristic
1108C2×C4⋊C4C22×D711yescharacteristic
1109C2×C4⋊C4C22×D711yescharacteristic
1110C2×C4⋊C4C22×D711yescharacteristic
1111C2×C4⋊C4C22×D711yescharacteristic
1112C2×C4⋊C4C22×D711yescharacteristic
1113C2×C4⋊C4C22×D711yescharacteristic
1114C2×C22⋊C4—71no—
1115C2×C22⋊C4—71no—
1116C2×C22⋊C4—71no—
1117C2×C22⋊C4—71no—
1118C2×C22⋊C4—71no—
1119C2×C22⋊C4—71no—
1120C2×C22⋊C4—71no—
1121C2×C22⋊C4—71no—
1122C2×C22⋊C4—71no—
1123C2×C22⋊C4—71no—
1124C2×C22⋊C4—71no—
1125C2×C22⋊C4—71no—
1126C2×C22⋊C4—71no—
1127C2×C22⋊C4—71no—
1128C2×C22⋊C4—71no—
1129C2×C22⋊C4—71no—
1130C2×C22⋊C4—71no—
1131C2×C22⋊C4—71no—
1132C2×C22⋊C4—71no—
1133C2×C22⋊C4—71no—
1134C2×C22⋊C4—71no—
1135C2×C22⋊C4—71no—
1136C2×C22⋊C4—71no—
1137C2×C22⋊C4—71no—
1138C2×C22⋊C4—71no—
1139C2×C22⋊C4—71no—
1140C2×C22⋊C4—71no—
1141C2×C22⋊C4—71no—
1142C2×C22⋊C4—71no—
1143C2×C22⋊C4—71no—
1144C2×C22⋊C4—71no—
1145C2×C22⋊C4—71no—
1146C2×C22⋊C4—71no—
1147C2×C22⋊C4—71no—
1148C2×C22⋊C4—71no—
1149C2×C22⋊C4—71no—
1150C2×C22⋊C4—71no—
1151C2×C22⋊C4—71no—
1152C2×C22⋊C4—71no—
1153C2×C22⋊C4—71no—
1154C2×C22⋊C4—71no—
1155C2×C22⋊C4—71no—
1156C2×C22⋊C4—71no—
1157C2×C22⋊C4—71no—
1158C2×C22⋊C4—71no—
1159C2×C22⋊C4—71no—
1160C2×C22⋊C4—144no—
1161C2×C22⋊C4—144no—
1162C2×C22⋊C4—282no—
1163C2×C22⋊C4—282no—
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—282no—
1190C2×C42—282no—
1191C2×C42C22×D711yescharacteristic
1192C2×C42C22×D711yescharacteristic
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—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×C7C23×D411yescharacteristic
1237C22×C7C22×#4111yescharacteristic
1238C22×C7C22×#4111yescharacteristic
1239C22×C7C2×H(5,𝔽2)11yescharacteristic
1240C22×C7C2×H(5,𝔽2)11yescharacteristic
1241C22×C7C2×H(5,𝔽2)11yescharacteristic
1242C22×C7#58511yescharacteristic
1243C2×D7—22no—
1244C2×D7—22no—
1245C2×D7—22no—
1246C2×D7—22no—
1247C2×D7—22no—
1248C2×D7—22no—
1249C2×D7—22no—
1250C2×D7—22no—
1251C2×D7—22no—
1252C2×D7—41no—
1253C2×D7—41no—
1254C2×D7—41no—
1255C2×D7—41no—
1256C2×D7—41no—
1257C2×D7—41no—
1258C2×D7—41no—
1259C2×D7—41no—
1260C2×D7—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—88no—
1278C2×D7—88no—
1279C2×D7#53214yes—
1280C4×C7—22no—
1281C4×C7—22no—
1282C4×C7—22no—
1283C4×C7—22no—
1284C4×C7—22no—
1285C4×C7—22no—
1286C4×C7—41no—
1287C4×C7—41no—
1288C4×C7—41no—
1289C4×C7—41no—
1290C4×C7—41no—
1291C4×C7—41no—
1292Dic7—22no—
1293Dic7—22no—
1294Dic7—22no—
1295Dic7—41no—
1296Dic7—41no—
1297Dic7—41no—
1298Dic7—41no—
1299Dic7—41no—
1300Dic7—41no—
1301Dic7—41no—
1302Dic7#53814yescomplemented
1303C24—71no—
1304C24—71no—
1305C24—71no—
1306C24—71no—
1307C24—71no—
1308C24—142no—
1309C24—142no—
1310C24—142no—
1311C24—142no—
1312C24—142no—
1313C24—142no—
1314C24—281no—
1315C24—281no—
1316C24—281no—
1317C24—281no—
1318C24—281no—
1319C24—281no—
1320C24—281no—
1321C24—281no—
1322C24C23×D711yescharacteristic
1323C24C23×D711yescharacteristic
1324C24C23×D711yescharacteristic
1325C2×Q8—142no—
1326C2×Q8—142no—
1327C2×Q8—281no—
1328C2×Q8—281no—
1329C2×Q8—281no—
1330C2×Q8—281no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—41no—
1335C2×D4—41no—
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—142no—
1370C2×D4—142no—
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—41no—
1400C22×C4—41no—
1401C22×C4—71no—
1402C22×C4—71no—
1403C22×C4—71no—
1404C22×C4—71no—
1405C22×C4—74no—
1406C22×C4—74no—
1407C22×C4—74no—
1408C22×C4—71no—
1409C22×C4—71no—
1410C22×C4—71no—
1411C22×C4—71no—
1412C22×C4—71no—
1413C22×C4—71no—
1414C22×C4—71no—
1415C22×C4—142no—
1416C22×C4—142no—
1417C22×C4—142no—
1418C22×C4—142no—
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—281no—
1428C22×C4—281no—
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×C4C23×D711yescharacteristic
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—22no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
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—142no—
1470C4⋊C4—281no—
1471C4⋊C4—281no—
1472C4⋊C4—281no—
1473C4⋊C4—281no—
1474C4⋊C4D4×D714yescomplemented
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—74no—
1490C22⋊C4—74no—
1491C22⋊C4—74no—
1492C22⋊C4—142no—
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—281no—
1521C22⋊C4—281no—
1522C22⋊C4—281no—
1523C22⋊C4—281no—
1524C22⋊C4—281no—
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⋊C4—281no—
1535C42—22no—
1536C42—22no—
1537C42—41no—
1538C42—41no—
1539C42—74no—
1540C42—142no—
1541C42—142no—
1542C42—142no—
1543C42—142no—
1544C42—142no—
1545C42—142no—
1546C42—142no—
1547C42—281no—
1548C42—281no—
1549C42—281no—
1550C2×C7—81no—
1551C2×C7—81no—
1552C2×C7—81no—
1553C2×C7C2×#53211yescharacteristic
1554C2×C7C2×#53811yescharacteristic
1555C2×C7#346011yescharacteristic
1556C2×C7#349611yescharacteristic
1557C2×C7#349811yescharacteristic
1558C2×C7#351411yescharacteristic
1559C2×C7#351911yescharacteristic
1560D7—24no—
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—72no—
1587C23—72no—
1588C23—72no—
1589C23—72no—
1590C23—141no—
1591C23—141no—
1592C23—141no—
1593C23—141no—
1594C23—141no—
1595C23—141no—
1596C23—141no—
1597C23—141no—
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—284no—
1622C23—284no—
1623C23—284no—
1624C23—284no—
1625C23—284no—
1626C23—284no—
1627C23—562no—
1628C23—562no—
1629C23—562no—
1630C23—562no—
1631C23—562no—
1632C23—562no—
1633C23—562no—
1634C23—562no—
1635C23C24×D711yescharacteristic
1636Q8—562no—
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—72no—
1691C2×C4—72no—
1692C2×C4—72no—
1693C2×C4—72no—
1694C2×C4—72no—
1695C2×C4—72no—
1696C2×C4—82no—
1697C2×C4—148no—
1698C2×C4—141no—
1699C2×C4—141no—
1700C2×C4—141no—
1701C2×C4—141no—
1702C2×C4—141no—
1703C2×C4—141no—
1704C2×C4—141no—
1705C2×C4—141no—
1706C2×C4—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—284no—
1726C2×C4—284no—
1727C2×C4—284no—
1728C2×C4—284no—
1729C2×C4—284no—
1730C2×C4—562no—
1731C2×C4—562no—
1732C2×C4—562no—
1733C2×C4C2×D4×D712yes—
1734C2×C4C2×D4×D712yes—
1735C2×C4C2×D4×D712yes—
1736C2×C4D7×#4112yes—
1737C2×C4D7×#4112yes—
1738C2×C4#655312yes—
1739C7#3500711yescharacteristic, complemented, Sylow
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—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—74no—
1762C22—142no—
1763C22—142no—
1764C22—142no—
1765C22—142no—
1766C22—142no—
1767C22—142no—
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—568no—
1798C22C22×D4×D711yescharacteristic
1799C22C2×D7×#4111yescharacteristic
1800C22C2×D7×#4111yescharacteristic
1801C22C2×#655311yescharacteristic
1802C22#9061611yescharacteristic
1803C22D7×H(5,𝔽2)11yescharacteristic
1804C22D7×H(5,𝔽2)11yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—74no—
1818C4—142no—
1819C4—142no—
1820C4—142no—
1821C4—281no—
1822C4—281no—
1823C4—281no—
1824C4—281no—
1825C4—281no—
1826C4—281no—
1827C4—281no—
1828C2—81no—
1829C2—81no—
1830C2—81no—
1831C2—144no—
1832C2—282no—
1833C2—561no—
1834C2—561no—
1835C2—561no—
1836C2#1174321611yescharacteristic
1837C2D7×#53211yescharacteristic
1838C2D7×#53811yescharacteristic
1839C2#1174373311yescharacteristic
1840C2#1174383811yescharacteristic
1841C2#1174386511yescharacteristic
1842C2#1174395611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2554C2
hypercenter#2554D7
hypocenterC7#35007
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2554

Complements

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

NH ≅ G/Ntype
1. C2×#90395C2semidirect
2. C2×#90348C2semidirect
3. C7×#2554C2semidirect
4. #11740529C2semidirect
5. #11740294C2semidirect
6. #11735283C2semidirect
7. #11735190C2semidirect
8. #11734789C2semidirect
9. #11734729C2semidirect
10. #11734441C2semidirect
11. #11734340C2semidirect
12. #11734153C2semidirect
13. #11734118C2semidirect
14. #11733921C2semidirect
15. #11733887C2semidirect
16. D7×#390C2semidirect
17. #11733869C2semidirect
18. #11733801C2semidirect
19. #11733775C2semidirect
20. #11733405C2semidirect
21. #11733291C2semidirect
22. #11733272C2semidirect
23. #11733265C2semidirect
24. #11732991C2semidirect
25. #11732972C2semidirect
26. #11732321C2semidirect
27. #11732143C2semidirect
28. #11731248C2semidirect
29. C4×#6456C2semidirect
30. #11731045C2semidirect
31. C4×#6447C2semidirect
33. C2×C7×#126C22semidirect
34. C2×C7×#123C22semidirect
37. C2×#6501C22semidirect
40. C2×#6493C22semidirect
42. C2×C4×C22⋊D7C22semidirect
45. C2×#6461C22semidirect
46. C2×#6461C22semidirect
50. C2×#6458C22semidirect
51. C2×#6457C22semidirect
52. C2×#6457C22semidirect
56. C2×#6451C22semidirect
57. C2×#6448C22semidirect
58. C2×#6448C22semidirect
59. C2×#6448C22semidirect
60. C2×#6448C22semidirect
61. C2×#6448C22semidirect
66. C2×#6447C22semidirect
67. C2×#6447C22semidirect
68. C2×#6447C22semidirect
69. C2×#6447C22semidirect
70. C2×#6446C22semidirect
79. C2×#6442C22semidirect
80. C2×#6438C22semidirect
84. C2×C42×D7C22semidirect
85. C7×#398C22semidirect
86. C7×#396C22semidirect
90. C7×#390C22semidirect
91. C7×#390C22semidirect
92. C7×#388C22semidirect
93. C7×#388C22semidirect
94. C7×#388C22semidirect
95. C7×#386C22semidirect
96. C4×C7×C4⋊C4C22semidirect
97. C4×C7×C22⋊C4C22semidirect
100. #89995C22semidirect
101. #89994C22semidirect
103. #89993C22semidirect
104. #89985C22semidirect
105. #89766C22semidirect
106. #89766C22semidirect
107. #89765C22semidirect
109. #89763C22semidirect
110. #89763C22semidirect
111. #89763C22semidirect
114. #89760C22semidirect
115. #89751C22semidirect
116. #89748C22semidirect
117. C4⋊C4×Dic7C22semidirect
118. C4⋊C4×Dic7C22semidirect
119. #89744C22semidirect
120. #89744C22semidirect
121. #89733C22semidirect
122. #89733C22semidirect
123. #89733C22semidirect
124. #89733C22semidirect
125. #89733C22semidirect
127. #89731C22semidirect
136. #89729C22semidirect
137. #89729C22semidirect
138. #89729C22semidirect
139. #89729C22semidirect
142. #89728C22semidirect
143. #89728C22semidirect
146. #89725C22semidirect
147. #89723C22semidirect
148. #89723C22semidirect
149. #89720C22semidirect
150. #89719C22semidirect
151. #89716C22semidirect
152. #89716C22semidirect
153. #89716C22semidirect
154. #89712C22semidirect
155. #89712C22semidirect
156. #89712C22semidirect
158. #89711C22semidirect
159. #89711C22semidirect
161. C4×(C2×D7)⋊C4C22semidirect
162. C4×(C2×D7)⋊C4C22semidirect
163. C4×Dic7⋊C4C22semidirect
164. C42×Dic7C22semidirect
165. #89445C22semidirect
168. #89443C22semidirect
169. #89442C22semidirect
170. #89442C22semidirect
171. #89442C22semidirect
172. #89441C22semidirect
173. #89441C22semidirect
176. #89439C22semidirect
179. #89438C22semidirect
180. #89438C22semidirect
183. #89437C22semidirect
184. #89437C22semidirect
185. #89433C22semidirect
186. #89428C22semidirect
187. #89419C22semidirect
188. #89419C22semidirect
347. #6456D4semidirect
411. #2554D7semidirect
569. C2×C4×D7C2×D4semidirect
583. C7×C4⋊C4C2×D4semidirect
646. (C2×D7)⋊C4C2×D4semidirect
675. C4×Dic7C2×D4semidirect
685. C2×#126C2×D7semidirect
695. C2×#123C2×D7semidirect
730. #398C2×D7semidirect
736. #396C2×D7semidirect
781. #390C2×D7semidirect
782. #390C2×D7semidirect
800. #388C2×D7semidirect
801. #388C2×D7semidirect
802. #388C2×D7semidirect
812. #386C2×D7semidirect
823. C4×C4⋊C4C2×D7semidirect
831. C4×C22⋊C4C2×D7semidirect
1302. Dic7#538semidirect
1474. C4⋊C4D4×D7semidirect
1739. C7#35007semidirect

Maximal subgroups

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

subgroupindex
C2×#903952
C2×#903482
C7×#25542
#117405292
#117402942
#117352832
#117351902
#117347892
#117347292
#117344412
#117343402
#117341532
#117341182
#117339212
#117338872
D7×#3902
#117338692
#117338012
#117337752
#117334052
#117332912
#117332722
#117332652
#117329912
#117329722
#117323212
#117321432
#117312482
C4×#64562
#117310452
C4×#64472
#350077