Finite Group Databasebeta

← #13560885

Subgroups — #13560885

Order 1792.

2644 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90369C211yesmaximal, characteristic, complemented
2C2×#90238C211yesmaximal, characteristic, complemented
3C7×#2544C211yesmaximal, characteristic, complemented
4#11740635C211yesmaximal, characteristic, complemented
5#11740635C211yesmaximal, characteristic, complemented
6#11740449C211yesmaximal, characteristic, complemented
7#11740448C211yesmaximal, characteristic, complemented
8#11740445C211yesmaximal, characteristic, complemented
9#11739835C211yesmaximal, characteristic, complemented
10#11734592C211yesmaximal, characteristic, complemented
11#11734583C211yesmaximal, characteristic, complemented
12#11734581C211yesmaximal, characteristic, complemented
13#11734581C211yesmaximal, characteristic, complemented
14#11734470C211yesmaximal, characteristic, complemented
15#11734467C211yesmaximal, characteristic, complemented
16#11734452C211yesmaximal, characteristic, complemented
17#11734451C211yesmaximal, characteristic, complemented
18#11734094C211yesmaximal, characteristic, complemented
19#11734091C211yesmaximal, characteristic, complemented
20#11733910C211yesmaximal, characteristic, complemented
21#11733907C211yesmaximal, characteristic, complemented
22#11732381C211yesmaximal, characteristic, complemented
23#11732380C211yesmaximal, characteristic, complemented
24#11732353C211yesmaximal, characteristic, complemented
25#11732352C211yesmaximal, characteristic, complemented
26#11732348C211yesmaximal, characteristic, complemented
27#11732346C211yesmaximal, characteristic, complemented
28#11732331C211yesmaximal, characteristic, complemented
29#11732133C211yesmaximal, characteristic, complemented
30#11731258C211yesmaximal, characteristic, complemented
31#11731206C211yesmaximal, characteristic, complemented
32C22×#1157C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic, complemented
34C2×C7×#127C2211yescharacteristic
35C2×C7×#124C2211yescharacteristic, complemented
36C2×C7×#124C2211yescharacteristic, complemented
37C2×C4×C7×D4C2211yescharacteristic, complemented
38C2×#6510C2211yescharacteristic
39C2×#6509C2211yescharacteristic, complemented
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×#6502C2211yescharacteristic, complemented
44C2×#6500C2211yescharacteristic
45C2×#6500C2211yescharacteristic
46C2×#6500C2211yescharacteristic, complemented
47C2×#6500C2211yescharacteristic, complemented
48C2×#6500C2211yescharacteristic, complemented
49C2×#6500C2211yescharacteristic, complemented
50C2×C4×C22⋊D7C2211yescharacteristic
51C2×C4×C22⋊D7C2211yescharacteristic, complemented
52#90369—28no—
53#90238—28no—
54C2×#6459C2211yescharacteristic, complemented
55C2×#6457C2211yescharacteristic
56C2×#6449C2211yescharacteristic, complemented
57C2×#6447C2211yescharacteristic
58C2×#6447C2211yescharacteristic
59C2×#6447C2211yescharacteristic
60C2×#6447C2211yescharacteristic
61C2×#6446C2211yescharacteristic
62C2×#6446C2211yescharacteristic
63C2×#6446C2211yescharacteristic
64C2×#6446C2211yescharacteristic, complemented
65C2×#6445C2211yescharacteristic
66C2×#6445C2211yescharacteristic
67C2×#6445C2211yescharacteristic
68C2×#6445C2211yescharacteristic
69C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
70C2×D7×C22⋊C4C2211yescharacteristic, complemented
71C2×#6442C2211yescharacteristic, complemented
72C2×#6441C2211yescharacteristic, complemented
73C2×#6441C2211yescharacteristic, complemented
74C2×#6439C2211yescharacteristic, complemented
75C2×C4×D28C2211yescharacteristic
76C2×#6435C2211yescharacteristic, complemented
77C7×#394C2211yescharacteristic
78C7×#394C2211yescharacteristic, complemented
79C7×#394C2211yescharacteristic, complemented
80C7×#394C2211yescharacteristic, complemented
81C7×#391C2211yescharacteristic, complemented
82C7×#390C2211yescharacteristic, complemented
83C7×#386C2211yescharacteristic
84C7×#386C2211yescharacteristic, complemented
85C7×#386C2211yescharacteristic, complemented
86C7×#386C2211yescharacteristic, complemented
87C4×C7×C4⋊C4C2211yescharacteristic, complemented
88#90003C2211yescharacteristic, complemented
89#90001C2211yescharacteristic, complemented
90#89995C2211yescharacteristic
91#89995C2211yescharacteristic
92#89995C2211yescharacteristic
93#89995C2211yescharacteristic
94#89995C2211yescharacteristic
95#89995C2211yescharacteristic, complemented
96#89995C2211yescharacteristic, complemented
97#89995C2211yescharacteristic, complemented
98#89994C2211yescharacteristic
99#89994C2211yescharacteristic, complemented
100#89994C2211yescharacteristic, complemented
101#89994C2211yescharacteristic, complemented
102#89992C2211yescharacteristic
103#89992C2211yescharacteristic, complemented
104#89985C2211yescharacteristic
105#89985C2211yescharacteristic, complemented
106#89982C2211yescharacteristic, complemented
107#89982C2211yescharacteristic, complemented
108#89766C2211yescharacteristic, complemented
109#89766C2211yescharacteristic, complemented
110#89765C2211yescharacteristic, complemented
111#89763C2211yescharacteristic
112#89760C2211yescharacteristic
113#89760C2211yescharacteristic
114#89755C2211yescharacteristic, complemented
115#89752C2211yescharacteristic, complemented
116#89745C2211yescharacteristic, complemented
117#89745C2211yescharacteristic, complemented
118#89733C2211yescharacteristic, complemented
119#89733C2211yescharacteristic, complemented
120#89733C2211yescharacteristic, complemented
121#89733C2211yescharacteristic, complemented
122#89732C2211yescharacteristic
123#89732C2211yescharacteristic
124#89732C2211yescharacteristic
125#89731C2211yescharacteristic
126#89731C2211yescharacteristic
127#89731C2211yescharacteristic
128#89731C2211yescharacteristic, complemented
129#89729C2211yescharacteristic
130#89729C2211yescharacteristic
131#89729C2211yescharacteristic, complemented
132#89729C2211yescharacteristic, complemented
133#89729C2211yescharacteristic, complemented
134#89728C2211yescharacteristic
135#89728C2211yescharacteristic
136#89728C2211yescharacteristic, complemented
137#89728C2211yescharacteristic, complemented
138#89728C2211yescharacteristic, complemented
139#89727C2211yescharacteristic, complemented
140#89727C2211yescharacteristic, complemented
141#89723C2211yescharacteristic, complemented
142#89722C2211yescharacteristic, complemented
143#89721C2211yescharacteristic, complemented
144#89720C2211yescharacteristic, complemented
145#89720C2211yescharacteristic, complemented
146#89720C2211yescharacteristic, complemented
147#89719C2211yescharacteristic, complemented
148#89718C2211yescharacteristic, complemented
149#89717C2211yescharacteristic, complemented
150#89717C2211yescharacteristic, complemented
151#89717C2211yescharacteristic, complemented
152#89717C2211yescharacteristic, complemented
153#89716C2211yescharacteristic, complemented
154#89716C2211yescharacteristic, complemented
155#89714C2211yescharacteristic, complemented
156#89712C2211yescharacteristic, complemented
157#89712C2211yescharacteristic, complemented
158#89712C2211yescharacteristic, complemented
159#89712C2211yescharacteristic, complemented
160#89712C2211yescharacteristic, complemented
161#89712C2211yescharacteristic, complemented
162#89711C2211yescharacteristic
163#89704C2211yescharacteristic, complemented
164#89700C2211yescharacteristic, complemented
165#89448C2211yescharacteristic, complemented
166#89447C2211yescharacteristic, complemented
167#89447C2211yescharacteristic, complemented
168#89445C2211yescharacteristic, complemented
169#89444C2211yescharacteristic
170#89444C2211yescharacteristic
171#89442C2211yescharacteristic, complemented
172#89440C2211yescharacteristic, complemented
173#89440C2211yescharacteristic, complemented
174#89439C2211yescharacteristic, complemented
175#89439C2211yescharacteristic, complemented
176#89439C2211yescharacteristic, complemented
177#89437C2211yescharacteristic
178#89437C2211yescharacteristic
179#89437C2211yescharacteristic
180#89436C2211yescharacteristic, complemented
181#89436C2211yescharacteristic, complemented
182#89436C2211yescharacteristic, complemented
183#89436C2211yescharacteristic, complemented
184#89430C2211yescharacteristic, complemented
185#89429C2211yescharacteristic, complemented
186#89425C2211yescharacteristic, complemented
187#89424C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36724—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×Q8C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C22×C7×D4C2311yescharacteristic
198C22×C7×D4C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
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
213C23×Dic7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C2×#1157—24no—
216C2×#1157—42no—
217C2×#1157—42no—
218C22×D28C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×D28C2311yescharacteristic
222C22×C4×D7—24no—
223C22×C4×D7—42no—
224C22×C4×D7—42no—
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×Dic14C2311yescharacteristic
232C7×#127—42no—
233C7×#124—24no—
234C7×#124—42no—
235C4×C7×D4—24no—
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊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
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
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272#6510—24no—
273#6509—24no—
274#6502—24no—
275#6502—24no—
276#6502—42no—
277#6502—42no—
278#6500—24no—
279#6500—24no—
280#6500—42no—
281#6500—42no—
282#6500—42no—
283#6500—42no—
284C4×C22⋊D7—24no—
285C4×C22⋊D7—24no—
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×(C2×D7)⋊C4C2311yescharacteristic
311C2×(C2×D7)⋊C4C2311yescharacteristic
312C2×(C2×D7)⋊C4C2311yescharacteristic
313C2×(C2×D7)⋊C4C2311yescharacteristic
314C2×(C2×D7)⋊C4C2311yescharacteristic
315C2×(C2×D7)⋊C4C2311yescharacteristic
316C2×C4⋊Dic7C2311yescharacteristic
317C2×C4⋊Dic7C2311yescharacteristic
318C2×C4⋊Dic7C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
326C2×Dic7⋊C4C2311yescharacteristic
327C2×Dic7⋊C4C2311yescharacteristic
328C2×Dic7⋊C4C2311yescharacteristic
329C2×Dic7⋊C4C2311yescharacteristic
330C2×Dic7⋊C4C2311yescharacteristic
331C2×Dic7⋊C4C2311yescharacteristic
332C2×Dic7⋊C4C2311yescharacteristic
333C2×Dic7⋊C4C2311yescharacteristic
334C2×Dic7⋊C4C2311yescharacteristic
335C2×Dic7⋊C4C2311yescharacteristic
336C2×Dic7⋊C4C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338C2×C4×Dic7C2311yescharacteristic
339C2×C4×Dic7C2311yescharacteristic
340C2×C4×Dic7C2311yescharacteristic
341#6459—24no—
342#6457—24no—
343#6449—24no—
344#6447—24no—
345#6447—24no—
346#6447—24no—
347#6447—42no—
348#6446—24no—
349#6446—24no—
350#6446—42no—
351#6446—42no—
352#6445—24no—
353#6445—24no—
354#6445—42no—
355#6445—42no—
356(C22⋊D7)⋊C4—24no—
357D7×C22⋊C4—24no—
358#6442—24no—
359#6441—24no—
360#6441—42no—
361#6439—24no—
362C4×D28D418yescomplemented
363#6435—24no—
364C7×#95C2311yescharacteristic
365C7×#95C2311yescharacteristic
366C7×#95C2311yescharacteristic
367C7×#95C2311yescharacteristic
368C7×#95C2311yescharacteristic
369C7×#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#538—71no—
393C2×#525—71no—
394#2849—71no—
395#2847—71no—
396#2705—71no—
397#2702—71no—
398#2700—71no—
399#2699—71no—
400#2687—71no—
401#2682—71no—
402#2681—71no—
403#2681—71no—
404#2679—71no—
405#2678—71no—
406#2678—71no—
407#2678—71no—
408#2672—71no—
409#2670—71no—
410#2669—71no—
411#2669—71no—
412#2635—71no—
413#2630—71no—
414#2610—71no—
415#2603—71no—
416#2601—71no—
417#2600—71no—
418#2544D711yescharacteristic, complemented
419#2534—71no—
420#2407—71no—
421#2404—71no—
422#2319—71no—
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C23×D7—22no—
428C23×D7—22no—
429C23×D7—22no—
430C23×D7—22no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7—41no—
434C23×D7—41no—
435C23×D7—41no—
436C23×D7—41no—
437C23×D7—41no—
438C23×D7—41no—
439C23×D7—41no—
440C23×D7—41no—
441C23×D7C2411yescharacteristic
442C23×D7C2411yescharacteristic
443C23×D7C2411yescharacteristic
444C23×D7C2411yescharacteristic
445C2×C7×Q8—22no—
446C2×C7×Q8—41no—
447C2×C7×Q8—41no—
448C2×C7×D4—22no—
449C2×C7×D4—22no—
450C2×C7×D4—22no—
451C2×C7×D4—22no—
452C2×C7×D4—22no—
453C2×C7×D4—41no—
454C2×C7×D4—41no—
455C2×C7×D4—41no—
456C2×C7×D4—41no—
457C2×C7×D4—41no—
458C2×C7×D4—41no—
459C2×C7×D4—41no—
460C2×C7×D4—41no—
461C2×C7×D4—41no—
462C2×C7×D4—41no—
463C2×C7×D4—41no—
464C2×C7×D4—41no—
465C2×C7×D4—41no—
466C22×C4×C7—22no—
467C22×C4×C7—22no—
468C22×C4×C7—41no—
469C22×C4×C7—41no—
470C22×C4×C7—41no—
471C22×C4×C7—41no—
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C22×C4×C7C2411yescharacteristic
475C22×C4×C7C2411yescharacteristic
476C22×C4×C7C2411yescharacteristic
477C22×C4×C7C2411yescharacteristic
478C22×C4×C7C2411yescharacteristic
479C22×C4×C7C2411yescharacteristic
480C22×C4×C7C2411yescharacteristic
481C22×C4×C7C2411yescharacteristic
482C22×C4×C7C2411yescharacteristic
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—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—
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—
519C22×Dic7—22no—
520C22×Dic7—22no—
521C22×Dic7—22no—
522C22×Dic7—41no—
523C22×Dic7—41no—
524C22×Dic7—41no—
525C22×Dic7C2411yescharacteristic
526C22×Dic7C2411yescharacteristic
527C22×Dic7C2411yescharacteristic
528C22×Dic7C2411yescharacteristic
529C22×Dic7C2411yescharacteristic
530C22×Dic7C2411yescharacteristic
531C22×Dic7C2411yescharacteristic
532C22×Dic7C2411yescharacteristic
533C22×Dic7C2411yescharacteristic
534C22×Dic7C2411yescharacteristic
535C22×Dic7C2411yescharacteristic
536C22×Dic7C2411yescharacteristic
537#1157—416no—
538C2×D28—22no—
539C2×D28—22no—
540C2×D28—22no—
541C2×D28—22no—
542C2×D28—41no—
543C2×D28—41no—
544C2×D28—41no—
545C2×D28—41no—
546C2×D28—41no—
547C2×D28—41no—
548C2×D28—41no—
549C2×D28C2×D414yes—
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—22no—
557C2×C4×D7—22no—
558C2×C4×D7—416no—
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×D7C2×D414yes—
568C2×C4×D7C2×D414yes—
569C2×Dic14—22no—
570C2×Dic14—22no—
571C2×Dic14—41no—
572C7×C4⋊C4—22no—
573C7×C4⋊C4—41no—
574C7×C4⋊C4—41no—
575C7×C22⋊C4—22no—
576C7×C22⋊C4—22no—
577C7×C22⋊C4—22no—
578C7×C22⋊C4—22no—
579C7×C22⋊C4—22no—
580C7×C22⋊C4—22no—
581C7×C22⋊C4—22no—
582C7×C22⋊C4—22no—
583C7×C22⋊C4—41no—
584C7×C22⋊C4—41no—
585C7×C22⋊C4—41no—
586C7×C22⋊C4—41no—
587C7×C22⋊C4—41no—
588C7×C22⋊C4—41no—
589C42×C7—41no—
590C42×C7—41no—
591C42×C7C2×D414yes—
592C22⋊Dic7—22no—
593C22⋊Dic7—22no—
594C22⋊Dic7—22no—
595C22⋊Dic7—22no—
596C22⋊Dic7—22no—
597C22⋊Dic7—22no—
598C22⋊Dic7—22no—
599C22⋊Dic7—41no—
600C22⋊Dic7—41no—
601C22⋊Dic7—41no—
602C22⋊Dic7—41no—
603C22⋊Dic7—41no—
604C22⋊Dic7—41no—
605C22⋊Dic7—41no—
606C22⋊Dic7—41no—
607C22⋊Dic7—41no—
608(C2×D7)⋊C4—22no—
609(C2×D7)⋊C4—22no—
610(C2×D7)⋊C4—22no—
611(C2×D7)⋊C4—22no—
612(C2×D7)⋊C4—22no—
613(C2×D7)⋊C4—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—41no—
621(C2×D7)⋊C4—41no—
622(C2×D7)⋊C4—41no—
623(C2×D7)⋊C4—41no—
624(C2×D7)⋊C4—41no—
625(C2×D7)⋊C4—41no—
626(C2×D7)⋊C4—41no—
627(C2×D7)⋊C4—41no—
628(C2×D7)⋊C4—41no—
629(C2×D7)⋊C4—41no—
630(C2×D7)⋊C4—41no—
631(C2×D7)⋊C4—41no—
632(C2×D7)⋊C4—41no—
633(C2×D7)⋊C4—41no—
634(C2×D7)⋊C4—41no—
635(C2×D7)⋊C4—41no—
636(C2×D7)⋊C4C2×D414yes—
637(C2×D7)⋊C4C2×D414yes—
638C4⋊Dic7—22no—
639C4⋊Dic7—22no—
640C4⋊Dic7—41no—
641C4⋊Dic7—41no—
642C4⋊Dic7C2×D414yes—
643Dic7⋊C4—22no—
644Dic7⋊C4—22no—
645Dic7⋊C4—22no—
646Dic7⋊C4—22no—
647Dic7⋊C4—22no—
648Dic7⋊C4—22no—
649Dic7⋊C4—22no—
650Dic7⋊C4—22no—
651Dic7⋊C4—41no—
652Dic7⋊C4—41no—
653Dic7⋊C4—41no—
654Dic7⋊C4—41no—
655Dic7⋊C4—41no—
656Dic7⋊C4—41no—
657Dic7⋊C4—41no—
658Dic7⋊C4—41no—
659C4×Dic7—22no—
660C4×Dic7—22no—
661C4×Dic7—41no—
662C4×Dic7—41no—
663C22×#41—71no—
664C24×C4—71no—
665#538—148no—
666C2×#127C2×D711yescharacteristic
667C2×#126—71no—
668C2×#126—71no—
669C2×#124—71no—
670C2×#124C2×D711yescharacteristic, complemented
671C2×#124C2×D711yescharacteristic, complemented
672#525—148no—
673C2×#123—71no—
674C2×#123—71no—
675C2×#123—71no—
676C2×#123—71no—
677C2×#123—71no—
678C2×#123—71no—
679C2×C22⋊Q8—71no—
680C2×C22⋊Q8—71no—
681C2×C22⋊Q8—71no—
682C2×C22⋊Q8—71no—
683C2×#121—71no—
684C2×#121—71no—
685C2×#121—71no—
686C2×#121—71no—
687C2×#121—71no—
688C2×#121—71no—
689C2×#121—71no—
690C2×#121—71no—
691C2×#120—71no—
692C2×#120—71no—
693C2×#120—71no—
694C2×#120—71no—
695C2×#120—71no—
696C2×#120—71no—
697C2×#120—71no—
698C2×#120—71no—
699C2×#120—71no—
700C2×#120—71no—
701C2×C4×D4—71no—
702C2×C4×D4—71no—
703C2×C4×D4—71no—
704C2×C4×D4—71no—
705C2×C4×D4C2×D711yescharacteristic, complemented
706C2×#117—71no—
707C22×C22⋊C4—71no—
708#400—71no—
709#399—71no—
710#398—71no—
711#398—71no—
712#398—71no—
713#397—71no—
714#397—71no—
715#397—71no—
716#396—71no—
717#396—71no—
718#396—71no—
719#396—71no—
720#396—71no—
721#396—71no—
722#395—71no—
723#394—71no—
724#394—71no—
725#394—71no—
726#394—71no—
727#394—71no—
728#394—71no—
729#394—71no—
730#394—71no—
731#394—71no—
732#394—71no—
733#394—71no—
734#394—71no—
735#394—71no—
736#394—71no—
737#394—71no—
738#394C2×D711yescharacteristic
739#394C2×D711yescharacteristic, complemented
740#394C2×D711yescharacteristic, complemented
741#394C2×D711yescharacteristic, complemented
742#393—71no—
743#393—71no—
744#393—71no—
745#392—71no—
746#392—71no—
747#392—71no—
748#392—71no—
749#392—71no—
750#392—71no—
751#392—71no—
752#392—71no—
753#392—71no—
754#392—71no—
755#392—71no—
756#391—71no—
757#391C2×D711yescharacteristic, complemented
758#390—71no—
759#390—71no—
760#390—71no—
761#390—71no—
762#390—71no—
763#390—71no—
764#390—71no—
765#390—71no—
766#390C2×D711yescharacteristic, complemented
767#389—71no—
768#389—71no—
769#389—71no—
770#388—71no—
771#388—71no—
772#388—71no—
773#388—71no—
774#388—71no—
775#388—71no—
776#388—71no—
777#388—71no—
778#388—71no—
779#388—71no—
780#388—71no—
781#388—71no—
782#388—71no—
783#388—71no—
784#387—71no—
785#387—71no—
786#386—71no—
787#386—71no—
788#386—71no—
789#386—71no—
790#386—71no—
791#386—71no—
792#386—71no—
793#386—71no—
794#386—71no—
795#386—71no—
796#386—71no—
797#386—71no—
798#386C2×D711yescharacteristic
799#386C2×D711yescharacteristic, complemented
800#386C2×D711yescharacteristic, complemented
801#386C2×D711yescharacteristic, complemented
802#385—71no—
803#385—71no—
804#385—71no—
805#385—71no—
806#385—71no—
807#385—71no—
808#381—71no—
809#381—71no—
810#381—71no—
811#381—71no—
812#380—71no—
813#380—71no—
814#380—71no—
815#380—71no—
816#379—71no—
817#379—71no—
818C4×C4⋊C4C2×D711yescharacteristic, complemented
819#376—71no—
820C23×C7—21no—
821C23×C7—21no—
822C23×C7—21no—
823C23×C7—21no—
824C23×C7—21no—
825C23×C7—21no—
826C23×C7—21no—
827C23×C7—21no—
828C23×C7—21no—
829C23×C7—21no—
830C23×C7—21no—
831C23×C7—21no—
832C23×C7—21no—
833C23×C7—21no—
834C23×C7—21no—
835C23×C7—21no—
836C23×C7—21no—
837C23×C7—21no—
838C23×C7—21no—
839C23×C7—21no—
840C23×C7—21no—
841C23×C7—21no—
842C23×C7—21no—
843C23×C7—21no—
844C23×C7—21no—
845C23×C7—21no—
846C23×C7—21no—
847C23×C7H(5,𝔽2)12yes—
848C23×C7C2511yescharacteristic
849C22×D7—21no—
850C22×D7—21no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
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—44no—
875C22×D7—44no—
876C22×D7—44no—
877C22×D7—44no—
878C22×D7—44no—
879C22×D7—44no—
880C22×D7—44no—
881C22×D7—44no—
882C22×D7—82no—
883C22×D7—82no—
884C22×D7—82no—
885C22×D7—82no—
886C22×D7—82no—
887C22×D7—82no—
888C22×D7C22×D412yes—
889C22×D7C22×D412yes—
890C22×D7H(5,𝔽2)12yes—
891C7×Q8—82no—
892C7×D4—44no—
893C7×D4—82no—
894C7×D4—82no—
895C7×D4—82no—
896C7×D4—82no—
897C7×D4—82no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—21no—
901C2×C4×C7—21no—
902C2×C4×C7—21no—
903C2×C4×C7—21no—
904C2×C4×C7—21no—
905C2×C4×C7—21no—
906C2×C4×C7—21no—
907C2×C4×C7—21no—
908C2×C4×C7—21no—
909C2×C4×C7—21no—
910C2×C4×C7—21no—
911C2×C4×C7—21no—
912C2×C4×C7—21no—
913C2×C4×C7—21no—
914C2×C4×C7—21no—
915C2×C4×C7—21no—
916C2×C4×C7—21no—
917C2×C4×C7—21no—
918C2×C4×C7—21no—
919C2×C4×C7—21no—
920C2×C4×C7—21no—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—21no—
927C2×C4×C7—21no—
928C2×C4×C7—44no—
929C2×C4×C7—44no—
930C2×C4×C7C22×D412yes—
931C2×C4×C7C22×D412yes—
932C2×C4×C7C22×D412yes—
933C22⋊D7—44no—
934C22⋊D7—44no—
935C22⋊D7—44no—
936C22⋊D7—44no—
937C22⋊D7—44no—
938C22⋊D7—82no—
939C22⋊D7—82no—
940C22⋊D7—82no—
941C22⋊D7—82no—
942C22⋊D7—82no—
943C22⋊D7—82no—
944C22⋊D7—82no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—21no—
963C2×Dic7—21no—
964C2×Dic7—21no—
965C2×Dic7—21no—
966C2×Dic7—21no—
967C2×Dic7—21no—
968C2×Dic7—21no—
969C2×Dic7—21no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—21no—
973C2×Dic7—21no—
974C2×Dic7—21no—
975C2×Dic7—21no—
976C2×Dic7—21no—
977C2×Dic7—21no—
978C2×Dic7—44no—
979C2×Dic7—82no—
980C2×Dic7C22×D412yes—
981C2×Dic7C22×D412yes—
982C2×Dic7H(5,𝔽2)12yes—
983D28—44no—
984D28—44no—
985D28—82no—
986D28—82no—
987C4×D7—28no—
988C4×D7—44no—
989C4×D7—44no—
990C4×D7—44no—
991C4×D7—44no—
992C4×D7—82no—
993Dic14—44no—
994C25—71no—
995C25—71no—
996C2×#41—144no—
997C2×#41—282no—
998C2×#41—282no—
999C22×Q8—71no—
1000C22×Q8C22×D711yescharacteristic
1001C22×D4—71no—
1002C22×D4—71no—
1003C22×D4—71no—
1004C22×D4—71no—
1005C22×D4—71no—
1006C22×D4—71no—
1007C22×D4—71no—
1008C22×D4—71no—
1009C22×D4—71no—
1010C22×D4—71no—
1011C22×D4—71no—
1012C22×D4—71no—
1013C22×D4—71no—
1014C22×D4—71no—
1015C22×D4—71no—
1016C22×D4—71no—
1017C22×D4C22×D711yescharacteristic
1018C22×D4C22×D711yescharacteristic
1019C22×D4C22×D711yescharacteristic
1020C22×D4C22×D711yescharacteristic
1021C22×D4C22×D711yescharacteristic
1022C22×D4C22×D711yescharacteristic
1023C23×C4—71no—
1024C23×C4—71no—
1025C23×C4—71no—
1026C23×C4—71no—
1027C23×C4—71no—
1028C23×C4—71no—
1029C23×C4—71no—
1030C23×C4—71no—
1031C23×C4—144no—
1032C23×C4—282no—
1033C23×C4—282no—
1034C23×C4C22×D711yescharacteristic
1035C23×C4C22×D711yescharacteristic
1036#127—42no—
1037#126—144no—
1038#126—144no—
1039#124—24no—
1040#124—42no—
1041#124—144no—
1042#123—144no—
1043#123—144no—
1044#123—144no—
1045#123—144no—
1046#123—282no—
1047#123—282no—
1048C22⋊Q8—144no—
1049C22⋊Q8—144no—
1050C22⋊Q8—144no—
1051C22⋊Q8—282no—
1052#121—144no—
1053#121—144no—
1054#121—144no—
1055#121—144no—
1056#121—144no—
1057#121—282no—
1058#121—282no—
1059#121—282no—
1060#120—144no—
1061#120—144no—
1062#120—144no—
1063#120—144no—
1064#120—282no—
1065#120—282no—
1066#120—282no—
1067#120—282no—
1068#120—282no—
1069#120—282no—
1070C4×D4—24no—
1071C4×D4—78no—
1072C4×D4—144no—
1073C4×D4—144no—
1074C4×D4—144no—
1075#117—144no—
1076C2×C4⋊C4—71no—
1077C2×C4⋊C4—71no—
1078C2×C4⋊C4—71no—
1079C2×C4⋊C4—71no—
1080C2×C4⋊C4—71no—
1081C2×C4⋊C4—71no—
1082C2×C4⋊C4—71no—
1083C2×C4⋊C4—71no—
1084C2×C4⋊C4—71no—
1085C2×C4⋊C4—71no—
1086C2×C4⋊C4—71no—
1087C2×C4⋊C4—71no—
1088C2×C4⋊C4—71no—
1089C2×C4⋊C4—71no—
1090C2×C4⋊C4—71no—
1091C2×C4⋊C4—71no—
1092C2×C4⋊C4—71no—
1093C2×C4⋊C4—71no—
1094C2×C4⋊C4—71no—
1095C2×C4⋊C4—71no—
1096C2×C4⋊C4—71no—
1097C2×C4⋊C4C22×D711yescharacteristic
1098C2×C4⋊C4C22×D711yescharacteristic
1099C2×C4⋊C4C22×D711yescharacteristic
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—71no—
1103C2×C22⋊C4—71no—
1104C2×C22⋊C4—71no—
1105C2×C22⋊C4—71no—
1106C2×C22⋊C4—71no—
1107C2×C22⋊C4—71no—
1108C2×C22⋊C4—71no—
1109C2×C22⋊C4—71no—
1110C2×C22⋊C4—71no—
1111C2×C22⋊C4—71no—
1112C2×C22⋊C4—71no—
1113C2×C22⋊C4—71no—
1114C2×C22⋊C4—71no—
1115C2×C22⋊C4—71no—
1116C2×C22⋊C4—71no—
1117C2×C22⋊C4—71no—
1118C2×C22⋊C4—71no—
1119C2×C22⋊C4—71no—
1120C2×C22⋊C4—71no—
1121C2×C22⋊C4—71no—
1122C2×C22⋊C4—71no—
1123C2×C22⋊C4—71no—
1124C2×C22⋊C4—71no—
1125C2×C22⋊C4—71no—
1126C2×C22⋊C4—71no—
1127C2×C22⋊C4—71no—
1128C2×C22⋊C4—71no—
1129C2×C22⋊C4—71no—
1130C2×C22⋊C4—71no—
1131C2×C22⋊C4—71no—
1132C2×C22⋊C4—71no—
1133C2×C22⋊C4—71no—
1134C2×C22⋊C4—71no—
1135C2×C22⋊C4—71no—
1136C2×C22⋊C4—71no—
1137C2×C22⋊C4—71no—
1138C2×C22⋊C4—71no—
1139C2×C22⋊C4—71no—
1140C2×C22⋊C4—71no—
1141C2×C22⋊C4—71no—
1142C2×C22⋊C4—71no—
1143C2×C22⋊C4—71no—
1144C2×C22⋊C4—71no—
1145C2×C22⋊C4—71no—
1146C2×C22⋊C4—144no—
1147C2×C22⋊C4C22×D711yescharacteristic
1148C2×C22⋊C4C22×D711yescharacteristic
1149C2×C22⋊C4C22×D711yescharacteristic
1150C2×C22⋊C4C22×D711yescharacteristic
1151C2×C22⋊C4C22×D711yescharacteristic
1152C2×C22⋊C4C22×D711yescharacteristic
1153C2×C22⋊C4C22×D711yescharacteristic
1154C2×C22⋊C4C22×D711yescharacteristic
1155C2×C22⋊C4C22×D711yescharacteristic
1156C2×C22⋊C4C22×D711yescharacteristic
1157C2×C22⋊C4C22×D711yescharacteristic
1158C2×C22⋊C4C22×D711yescharacteristic
1159C2×C22⋊C4C22×D711yescharacteristic
1160C2×C22⋊C4C22×D711yescharacteristic
1161C2×C42—71no—
1162C2×C42—71no—
1163C2×C42—71no—
1164C2×C42—71no—
1165C2×C42C22×D711yescharacteristic
1166C2×C42C22×D711yescharacteristic
1167C2×C42C22×D711yescharacteristic
1168#95—71no—
1169#95—71no—
1170#95—71no—
1171#95—71no—
1172#95—71no—
1173#95—71no—
1174#95—71no—
1175#95—71no—
1176#95—71no—
1177#95—71no—
1178#95—71no—
1179#95—71no—
1180#95—71no—
1181#95—71no—
1182#95—71no—
1183#95—71no—
1184#95—71no—
1185#95—71no—
1186#95—71no—
1187#95—71no—
1188#95—71no—
1189#95—71no—
1190#95C22×D711yescharacteristic
1191#95C22×D711yescharacteristic
1192#95C22×D711yescharacteristic
1193#95C22×D711yescharacteristic
1194#95C22×D711yescharacteristic
1195#95C22×D711yescharacteristic
1196C22×C7—22no—
1197C22×C7—22no—
1198C22×C7—22no—
1199C22×C7—41no—
1200C22×C7—41no—
1201C22×C7—41no—
1202C22×C7—41no—
1203C22×C7—41no—
1204C22×C7—41no—
1205C22×C7—41no—
1206C22×C7—41no—
1207C22×C7—41no—
1208C22×C7—41no—
1209C22×C7—41no—
1210C22×C7—41no—
1211C22×C7—41no—
1212C22×C7—41no—
1213C22×C7—41no—
1214C22×C7—41no—
1215C22×C7—41no—
1216C22×C7—41no—
1217C22×C7—41no—
1218C22×C7—41no—
1219C22×C7—41no—
1220C22×C7—41no—
1221C22×C7—41no—
1222C22×C7—41no—
1223C22×C7—41no—
1224C22×C7C23×D411yescharacteristic
1225C22×C7C2×H(5,𝔽2)11yescharacteristic
1226C22×C7C2×H(5,𝔽2)11yescharacteristic
1227C22×C7C2×H(5,𝔽2)11yescharacteristic
1228C22×C7#58511yescharacteristic
1229C22×C7#58511yescharacteristic
1230C22×C7#58511yescharacteristic
1231C2×D7—22no—
1232C2×D7—22no—
1233C2×D7—22no—
1234C2×D7—22no—
1235C2×D7—22no—
1236C2×D7—22no—
1237C2×D7—22no—
1238C2×D7—22no—
1239C2×D7—22no—
1240C2×D7—416no—
1241C2×D7—41no—
1242C2×D7—41no—
1243C2×D7—41no—
1244C2×D7—41no—
1245C2×D7—41no—
1246C2×D7—41no—
1247C2×D7—41no—
1248C2×D7—41no—
1249C2×D7—41no—
1250C2×D7—41no—
1251C2×D7—41no—
1252C2×D7—41no—
1253C2×D7—41no—
1254C2×D7—41no—
1255C2×D7—41no—
1256C2×D7—41no—
1257C2×D7—41no—
1258C2×D7—41no—
1259C2×D7—41no—
1260C2×D7—88no—
1261C4×C7—22no—
1262C4×C7—22no—
1263C4×C7—22no—
1264C4×C7—41no—
1265C4×C7—41no—
1266C4×C7—41no—
1267C4×C7—41no—
1268C4×C7—41no—
1269C4×C7—41no—
1270C4×C7—41no—
1271C4×C7—41no—
1272Dic7—22no—
1273Dic7—22no—
1274Dic7—22no—
1275Dic7—41no—
1276Dic7—41no—
1277Dic7—41no—
1278Dic7—41no—
1279Dic7—41no—
1280Dic7—41no—
1281Dic7—41no—
1282Dic7—41no—
1283Dic7—41no—
1284C24—71no—
1285C24—71no—
1286C24—71no—
1287C24—71no—
1288C24—142no—
1289C24—142no—
1290C24—142no—
1291C24—142no—
1292C24—281no—
1293C24—281no—
1294C24—281no—
1295C24—281no—
1296C24—281no—
1297C24—281no—
1298C24—281no—
1299C24—281no—
1300C24—281no—
1301C24—281no—
1302C24C23×D711yescharacteristic
1303C24C23×D711yescharacteristic
1304C24C23×D711yescharacteristic
1305C24C23×D711yescharacteristic
1306#41—2816no—
1307C2×Q8—22no—
1308C2×Q8—41no—
1309C2×Q8—41no—
1310C2×Q8—142no—
1311C2×Q8—142no—
1312C2×Q8—281no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—74no—
1332C2×D4—142no—
1333C2×D4—142no—
1334C2×D4—142no—
1335C2×D4—142no—
1336C2×D4—142no—
1337C2×D4—142no—
1338C2×D4—142no—
1339C2×D4—142no—
1340C2×D4—142no—
1341C2×D4—142no—
1342C2×D4—142no—
1343C2×D4—142no—
1344C2×D4—142no—
1345C2×D4—142no—
1346C2×D4—142no—
1347C2×D4—142no—
1348C2×D4—142no—
1349C2×D4—142no—
1350C2×D4—281no—
1351C2×D4—281no—
1352C2×D4—281no—
1353C2×D4—281no—
1354C2×D4—281no—
1355C2×D4—281no—
1356C2×D4—281no—
1357C2×D4—281no—
1358C2×D4—281no—
1359C2×D4—281no—
1360C2×D4—281no—
1361C2×D4—281no—
1362C2×D4—281no—
1363C2×D4—281no—
1364C2×D4—281no—
1365C2×D4—281no—
1366C2×D4—281no—
1367C2×D4—281no—
1368C2×D4—281no—
1369C2×D4—281no—
1370C2×D4—281no—
1371C2×D4—281no—
1372C2×D4—281no—
1373C2×D4—281no—
1374C2×D4—281no—
1375C2×D4—281no—
1376C2×D4—281no—
1377C2×D4—281no—
1378C2×D4—281no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—71no—
1386C22×C4—71no—
1387C22×C4—71no—
1388C22×C4—74no—
1389C22×C4—74no—
1390C22×C4—71no—
1391C22×C4—71no—
1392C22×C4—71no—
1393C22×C4—71no—
1394C22×C4—71no—
1395C22×C4—71no—
1396C22×C4—71no—
1397C22×C4—71no—
1398C22×C4—71no—
1399C22×C4—142no—
1400C22×C4—142no—
1401C22×C4—142no—
1402C22×C4—142no—
1403C22×C4—142no—
1404C22×C4—142no—
1405C22×C4—142no—
1406C22×C4—142no—
1407C22×C4—142no—
1408C22×C4—142no—
1409C22×C4—142no—
1410C22×C4—281no—
1411C22×C4—281no—
1412C22×C4—281no—
1413C22×C4—281no—
1414C22×C4—281no—
1415C22×C4—281no—
1416C22×C4—281no—
1417C22×C4—281no—
1418C22×C4—2816no—
1419C22×C4—281no—
1420C22×C4—281no—
1421C22×C4—281no—
1422C22×C4C23×D711yescharacteristic
1423C22×C4C23×D711yescharacteristic
1424C22×C4C23×D711yescharacteristic
1425C22×C4C23×D711yescharacteristic
1426C22×C4C23×D711yescharacteristic
1427C22×C4C23×D711yescharacteristic
1428C22×C4C23×D711yescharacteristic
1429C22×C4C23×D711yescharacteristic
1430C22×C4C23×D711yescharacteristic
1431C22×C4C23×D711yescharacteristic
1432C22×C4C23×D711yescharacteristic
1433C4⋊C4—22no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—74no—
1437C4⋊C4—142no—
1438C4⋊C4—142no—
1439C4⋊C4—142no—
1440C4⋊C4—142no—
1441C4⋊C4—142no—
1442C4⋊C4—142no—
1443C4⋊C4—142no—
1444C4⋊C4—142no—
1445C4⋊C4—142no—
1446C4⋊C4—142no—
1447C4⋊C4—281no—
1448C4⋊C4—281no—
1449C4⋊C4—281no—
1450C4⋊C4—281no—
1451C4⋊C4—281no—
1452C4⋊C4—281no—
1453C4⋊C4—281no—
1454C4⋊C4—281no—
1455C4⋊C4—281no—
1456C4⋊C4—281no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—74no—
1472C22⋊C4—74no—
1473C22⋊C4—142no—
1474C22⋊C4—142no—
1475C22⋊C4—142no—
1476C22⋊C4—142no—
1477C22⋊C4—142no—
1478C22⋊C4—142no—
1479C22⋊C4—142no—
1480C22⋊C4—142no—
1481C22⋊C4—142no—
1482C22⋊C4—142no—
1483C22⋊C4—142no—
1484C22⋊C4—142no—
1485C22⋊C4—142no—
1486C22⋊C4—142no—
1487C22⋊C4—142no—
1488C22⋊C4—142no—
1489C22⋊C4—142no—
1490C22⋊C4—142no—
1491C22⋊C4—142no—
1492C22⋊C4—281no—
1493C22⋊C4—281no—
1494C22⋊C4—281no—
1495C22⋊C4—281no—
1496C22⋊C4—281no—
1497C22⋊C4—281no—
1498C22⋊C4—281no—
1499C22⋊C4—281no—
1500C22⋊C4—281no—
1501C22⋊C4—281no—
1502C22⋊C4—281no—
1503C22⋊C4—281no—
1504C22⋊C4—281no—
1505C22⋊C4—281no—
1506C22⋊C4—281no—
1507C22⋊C4—281no—
1508C22⋊C4—281no—
1509C22⋊C4—281no—
1510C22⋊C4—281no—
1511C22⋊C4—281no—
1512C22⋊C4—281no—
1513C22⋊C4—281no—
1514C22⋊C4—281no—
1515C22⋊C4—281no—
1516C22⋊C4—281no—
1517C42—41no—
1518C42—41no—
1519C42—142no—
1520C42—142no—
1521C42—281no—
1522C42—281no—
1523C42D4×D714yes—
1524C2×C7—42no—
1525C2×C7—81no—
1526C2×C7—81no—
1527C2×C7—81no—
1528C2×C7#344911yescharacteristic
1529C2×C7#348411yescharacteristic
1530C2×C7#348811yescharacteristic
1531C2×C7#353311yescharacteristic
1532C2×C7#353411yescharacteristic
1533C2×C7#354011yescharacteristic
1534C2×C7#354211yescharacteristic
1535D7—42no—
1536D7—42no—
1537D7—42no—
1538D7—81no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—72no—
1567C23—72no—
1568C23—72no—
1569C23—141no—
1570C23—141no—
1571C23—141no—
1572C23—141no—
1573C23—141no—
1574C23—141no—
1575C23—141no—
1576C23—141no—
1577C23—141no—
1578C23—141no—
1579C23—141no—
1580C23—141no—
1581C23—141no—
1582C23—141no—
1583C23—141no—
1584C23—141no—
1585C23—141no—
1586C23—141no—
1587C23—141no—
1588C23—141no—
1589C23—141no—
1590C23—141no—
1591C23—141no—
1592C23—141no—
1593C23—141no—
1594C23—284no—
1595C23—284no—
1596C23—284no—
1597C23—284no—
1598C23—284no—
1599C23—284no—
1600C23—284no—
1601C23—284no—
1602C23—562no—
1603C23—562no—
1604C23—562no—
1605C23—562no—
1606C23—562no—
1607C23—562no—
1608C23#654812yes—
1609C23C24×D711yescharacteristic
1610Q8—82no—
1611Q8—284no—
1612D4—44no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—284no—
1619D4—284no—
1620D4—284no—
1621D4—284no—
1622D4—284no—
1623D4—284no—
1624D4—284no—
1625D4—562no—
1626D4—562no—
1627D4—562no—
1628D4—562no—
1629D4—562no—
1630D4—562no—
1631D4—562no—
1632D4—562no—
1633D4—562no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—72no—
1667C2×C4—72no—
1668C2×C4—72no—
1669C2×C4—148no—
1670C2×C4—141no—
1671C2×C4—141no—
1672C2×C4—141no—
1673C2×C4—141no—
1674C2×C4—141no—
1675C2×C4—141no—
1676C2×C4—141no—
1677C2×C4—141no—
1678C2×C4—141no—
1679C2×C4—141no—
1680C2×C4—141no—
1681C2×C4—141no—
1682C2×C4—141no—
1683C2×C4—141no—
1684C2×C4—141no—
1685C2×C4—141no—
1686C2×C4—141no—
1687C2×C4—141no—
1688C2×C4—141no—
1689C2×C4—141no—
1690C2×C4—141no—
1691C2×C4—141no—
1692C2×C4—141no—
1693C2×C4—141no—
1694C2×C4—141no—
1695C2×C4—141no—
1696C2×C4—141no—
1697C2×C4—141no—
1698C2×C4—141no—
1699C2×C4—141no—
1700C2×C4—141no—
1701C2×C4—141no—
1702C2×C4—141no—
1703C2×C4—284no—
1704C2×C4—284no—
1705C2×C4—284no—
1706C2×C4—284no—
1707C2×C4—284no—
1708C2×C4—562no—
1709C2×C4—562no—
1710C2×C4C2×D4×D712yes—
1711C2×C4C2×D4×D712yes—
1712C2×C4C2×D4×D712yes—
1713C7#3672411yescharacteristic, complemented, Sylow
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—142no—
1743C22—142no—
1744C22—142no—
1745C22—142no—
1746C22—142no—
1747C22—142no—
1748C22—142no—
1749C22—142no—
1750C22—142no—
1751C22—2816no—
1752C22—281no—
1753C22—281no—
1754C22—281no—
1755C22—281no—
1756C22—281no—
1757C22—281no—
1758C22—281no—
1759C22—281no—
1760C22—281no—
1761C22—281no—
1762C22—281no—
1763C22—281no—
1764C22—281no—
1765C22—281no—
1766C22—281no—
1767C22—281no—
1768C22—281no—
1769C22—281no—
1770C22—281no—
1771C22—568no—
1772C22C22×D4×D711yescharacteristic
1773C22C2×#654811yescharacteristic
1774C22#9061611yescharacteristic
1775C22#9061611yescharacteristic
1776C22#9061611yescharacteristic
1777C22D7×H(5,𝔽2)11yescharacteristic
1778C22D7×H(5,𝔽2)11yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—142no—
1791C4—142no—
1792C4—142no—
1793C4—281no—
1794C4—281no—
1795C4—281no—
1796C4—281no—
1797C4—281no—
1798C4—281no—
1799C4—281no—
1800C4—281no—
1801C4—281no—
1802C2—42no—
1803C2—81no—
1804C2—81no—
1805C2—81no—
1806C2—282no—
1807C2—282no—
1808C2—282no—
1809C2—561no—
1810C2#1174301711yescharacteristic
1811C2#1174330311yescharacteristic
1812C2#1174339811yescharacteristic
1813C2#1174371811yescharacteristic
1814C2#1174373711yescharacteristic
1815C2#1174412511yescharacteristic
1816C2#1174413311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2544C2
hypercenter#2544D7
hypocenterC7#36724
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2544

Complements

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

NH ≅ G/Ntype
1. C2×#90369C2semidirect
2. C2×#90238C2semidirect
3. C7×#2544C2semidirect
4. #11740635C2semidirect
5. #11740635C2semidirect
6. #11740449C2semidirect
7. #11740448C2semidirect
8. #11740445C2semidirect
9. #11739835C2semidirect
10. #11734592C2semidirect
11. #11734583C2semidirect
12. #11734581C2semidirect
13. #11734581C2semidirect
14. #11734470C2semidirect
15. #11734467C2semidirect
16. #11734452C2semidirect
17. #11734451C2semidirect
18. #11734094C2semidirect
19. #11734091C2semidirect
20. #11733910C2semidirect
21. #11733907C2semidirect
22. #11732381C2semidirect
23. #11732380C2semidirect
24. #11732353C2semidirect
25. #11732352C2semidirect
26. #11732348C2semidirect
27. #11732346C2semidirect
28. #11732331C2semidirect
29. #11732133C2semidirect
30. #11731258C2semidirect
31. #11731206C2semidirect
33. C23×C4×D7C22semidirect
35. C2×C7×#124C22semidirect
36. C2×C7×#124C22semidirect
37. C2×C4×C7×D4C22semidirect
39. C2×#6509C22semidirect
43. C2×#6502C22semidirect
46. C2×#6500C22semidirect
47. C2×#6500C22semidirect
48. C2×#6500C22semidirect
49. C2×#6500C22semidirect
51. C2×C4×C22⋊D7C22semidirect
54. C2×#6459C22semidirect
56. C2×#6449C22semidirect
64. C2×#6446C22semidirect
69. C2×(C22⋊D7)⋊C4C22semidirect
70. C2×D7×C22⋊C4C22semidirect
71. C2×#6442C22semidirect
72. C2×#6441C22semidirect
73. C2×#6441C22semidirect
74. C2×#6439C22semidirect
76. C2×#6435C22semidirect
78. C7×#394C22semidirect
79. C7×#394C22semidirect
80. C7×#394C22semidirect
81. C7×#391C22semidirect
82. C7×#390C22semidirect
84. C7×#386C22semidirect
85. C7×#386C22semidirect
86. C7×#386C22semidirect
87. C4×C7×C4⋊C4C22semidirect
88. #90003C22semidirect
89. #90001C22semidirect
95. #89995C22semidirect
96. #89995C22semidirect
97. #89995C22semidirect
99. #89994C22semidirect
100. #89994C22semidirect
101. #89994C22semidirect
103. #89992C22semidirect
105. #89985C22semidirect
106. #89982C22semidirect
107. #89982C22semidirect
108. #89766C22semidirect
109. #89766C22semidirect
110. #89765C22semidirect
114. #89755C22semidirect
115. #89752C22semidirect
116. #89745C22semidirect
117. #89745C22semidirect
118. #89733C22semidirect
119. #89733C22semidirect
120. #89733C22semidirect
121. #89733C22semidirect
128. #89731C22semidirect
131. #89729C22semidirect
132. #89729C22semidirect
133. #89729C22semidirect
136. #89728C22semidirect
137. #89728C22semidirect
138. #89728C22semidirect
139. #89727C22semidirect
140. #89727C22semidirect
141. #89723C22semidirect
142. #89722C22semidirect
143. #89721C22semidirect
144. #89720C22semidirect
145. #89720C22semidirect
146. #89720C22semidirect
147. #89719C22semidirect
148. #89718C22semidirect
149. #89717C22semidirect
150. #89717C22semidirect
151. #89717C22semidirect
152. #89717C22semidirect
153. #89716C22semidirect
154. #89716C22semidirect
155. #89714C22semidirect
156. #89712C22semidirect
157. #89712C22semidirect
158. #89712C22semidirect
159. #89712C22semidirect
160. #89712C22semidirect
161. #89712C22semidirect
163. #89704C22semidirect
164. #89700C22semidirect
165. #89448C22semidirect
166. #89447C22semidirect
167. #89447C22semidirect
168. #89445C22semidirect
171. #89442C22semidirect
172. #89440C22semidirect
173. #89440C22semidirect
174. #89439C22semidirect
175. #89439C22semidirect
176. #89439C22semidirect
180. #89436C22semidirect
181. #89436C22semidirect
182. #89436C22semidirect
183. #89436C22semidirect
184. #89430C22semidirect
185. #89429C22semidirect
186. #89425C22semidirect
187. #89424C22semidirect
188. #89418C22semidirect
362. C4×D28D4semidirect
418. #2544D7semidirect
670. C2×#124C2×D7semidirect
671. C2×#124C2×D7semidirect
705. C2×C4×D4C2×D7semidirect
739. #394C2×D7semidirect
740. #394C2×D7semidirect
741. #394C2×D7semidirect
757. #391C2×D7semidirect
766. #390C2×D7semidirect
799. #386C2×D7semidirect
800. #386C2×D7semidirect
801. #386C2×D7semidirect
818. C4×C4⋊C4C2×D7semidirect
1713. C7#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#903692
C2×#902382
C7×#25442
#117406352
#117404492
#117404482
#117404452
#117398352
#117345922
#117345832
#117345812
#117344702
#117344672
#117344522
#117344512
#117340942
#117340912
#117339102
#117339072
#117323812
#117323802
#117323532
#117323522
#117323482
#117323462
#117323312
#117321332
#117312582
#117312062
#367247