Finite Group Databasebeta

← #13561346

Subgroups — #13561346

Order 1792.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90331C211yesmaximal, characteristic, complemented
2C2×#90304C211yesmaximal, characteristic, complemented
3C7×#2850C211yesmaximal, characteristic, complemented
4#11740448C211yesmaximal, characteristic, complemented
5#11740427C211yesmaximal, characteristic, complemented
6#11740270C211yesmaximal, characteristic, complemented
7#11740157C211yesmaximal, characteristic, complemented
8#11739525C211yesmaximal, characteristic, complemented
9#11739510C211yesmaximal, characteristic, complemented
10#11734094C211yesmaximal, characteristic, complemented
11#11734015C211yesmaximal, characteristic, complemented
12#11733913C211yesmaximal, characteristic, complemented
13#11733829C211yesmaximal, characteristic, complemented
14#11733335C211yesmaximal, characteristic, complemented
15#11733287C211yesmaximal, characteristic, complemented
16#11733095C211yesmaximal, characteristic, complemented
17#11733093C211yesmaximal, characteristic, complemented
18#11733090C211yesmaximal, characteristic, complemented
19#11733089C211yesmaximal, characteristic, complemented
20#11733064C211yesmaximal, characteristic, complemented
21#11732941C211yesmaximal, characteristic, complemented
22#11732368C211yesmaximal, characteristic, complemented
23#11732365C211yesmaximal, characteristic, complemented
24#11732364C211yesmaximal, characteristic, complemented
25#11732356C211yesmaximal, characteristic, complemented
26#11732269C211yesmaximal, characteristic, complemented
27#11732267C211yesmaximal, characteristic, complemented
28#11732245C211yesmaximal, characteristic, complemented
29#11732238C211yesmaximal, characteristic, complemented
30#11731692C211yesmaximal, characteristic, complemented
31#11731645C211yesmaximal, characteristic, complemented
32C2×C7×#124C2211yescharacteristic
33C2×C7×C22⋊Q8C2211yescharacteristic, complemented
34C2×C7×#121C2211yescharacteristic
35C22×C42×C7C2211yescharacteristic, complemented
36C2×#6510C2211yescharacteristic
37C2×#6507C2211yescharacteristic, complemented
38C2×#6502C2211yescharacteristic
39C2×#6501C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×#6500C2211yescharacteristic
42C2×#6499C2211yescharacteristic
43C2×#6498C2211yescharacteristic
44C2×#6493C2211yescharacteristic
45C2×#6492C2211yescharacteristic
46C2×#6492C2211yescharacteristic, complemented
47C2×C4×C22⋊D7C2211yescharacteristic
48#90331—28no—
49#90304—28no—
50C2×#6461C2211yescharacteristic
51C2×#6461C2211yescharacteristic
52C2×#6459C2211yescharacteristic
53C2×#6459C2211yescharacteristic
54C2×#6459C2211yescharacteristic, complemented
55C2×#6457C2211yescharacteristic
56C2×#6455C2211yescharacteristic, complemented
57C2×#6450C2211yescharacteristic, complemented
58C2×#6448C2211yescharacteristic
59C2×#6448C2211yescharacteristic
60C2×#6448C2211yescharacteristic, complemented
61C2×#6447C2211yescharacteristic
62C2×#6445C2211yescharacteristic
63C2×(C22⋊D7)⋊C4C2211yescharacteristic
64C2×D7×C22⋊C4C2211yescharacteristic
65C2×#6442C2211yescharacteristic
66C2×#6442C2211yescharacteristic, complemented
67C2×#6441C2211yescharacteristic, complemented
68C2×#6435C2211yescharacteristic
69C7×#391C2211yescharacteristic, complemented
70C7×#390C2211yescharacteristic
71C7×#388C2211yescharacteristic
72C7×#388C2211yescharacteristic
73C7×#388C2211yescharacteristic, complemented
74C7×#388C2211yescharacteristic, complemented
75C7×#386C2211yescharacteristic
76C7×#386C2211yescharacteristic
77C7×#386C2211yescharacteristic, complemented
78C7×#386C2211yescharacteristic, complemented
79C7×#382C2211yescharacteristic, complemented
80#90003C2211yescharacteristic
81#90001C2211yescharacteristic, complemented
82#89995C2211yescharacteristic
83#89995C2211yescharacteristic
84#89995C2211yescharacteristic, complemented
85#89994C2211yescharacteristic
86#89994C2211yescharacteristic
87#89994C2211yescharacteristic, complemented
88#89985C2211yescharacteristic
89#89985C2211yescharacteristic
90#89985C2211yescharacteristic
91#89985C2211yescharacteristic, complemented
92#89984C2211yescharacteristic, complemented
93#89982C2211yescharacteristic, complemented
94#89982C2211yescharacteristic, complemented
95C4×C22⋊Dic7C2211yescharacteristic, complemented
96#89765C2211yescharacteristic, complemented
97#89764C2211yescharacteristic
98#89762C2211yescharacteristic
99#89762C2211yescharacteristic
100#89754C2211yescharacteristic, complemented
101#89752C2211yescharacteristic, complemented
102#89744C2211yescharacteristic, complemented
103#89744C2211yescharacteristic, complemented
104#89733C2211yescharacteristic
105#89733C2211yescharacteristic
106#89732C2211yescharacteristic
107#89732C2211yescharacteristic
108#89731C2211yescharacteristic
109#89731C2211yescharacteristic
110#89731C2211yescharacteristic
111#89731C2211yescharacteristic
112#89731C2211yescharacteristic
113#89731C2211yescharacteristic
114#89730C2211yescharacteristic, complemented
115#89729C2211yescharacteristic
116#89729C2211yescharacteristic
117#89729C2211yescharacteristic
118#89729C2211yescharacteristic, complemented
119#89728C2211yescharacteristic
120#89728C2211yescharacteristic, complemented
121#89727C2211yescharacteristic
122#89727C2211yescharacteristic
123#89727C2211yescharacteristic
124#89724C2211yescharacteristic
125#89724C2211yescharacteristic, complemented
126#89724C2211yescharacteristic, complemented
127#89724C2211yescharacteristic, complemented
128#89723C2211yescharacteristic
129#89723C2211yescharacteristic, complemented
130#89721C2211yescharacteristic
131#89720C2211yescharacteristic
132#89720C2211yescharacteristic
133#89719C2211yescharacteristic
134#89719C2211yescharacteristic
135#89719C2211yescharacteristic, complemented
136#89718C2211yescharacteristic, complemented
137#89717C2211yescharacteristic
138#89717C2211yescharacteristic
139#89717C2211yescharacteristic
140#89717C2211yescharacteristic, complemented
141#89714C2211yescharacteristic, complemented
142#89712C2211yescharacteristic
143#89712C2211yescharacteristic
144#89712C2211yescharacteristic
145#89712C2211yescharacteristic
146#89712C2211yescharacteristic, complemented
147#89712C2211yescharacteristic, complemented
148#89711C2211yescharacteristic
149#89711C2211yescharacteristic
150C4×(C2×D7)⋊C4C2211yescharacteristic
151#89705C2211yescharacteristic, complemented
152#89705C2211yescharacteristic, complemented
153#89704C2211yescharacteristic, complemented
154C4×Dic7⋊C4C2211yescharacteristic, complemented
155#89700C2211yescharacteristic, complemented
156#89700C2211yescharacteristic, complemented
157#89448C2211yescharacteristic
158#89448C2211yescharacteristic, complemented
159#89447C2211yescharacteristic
160#89447C2211yescharacteristic
161#89447C2211yescharacteristic
162#89447C2211yescharacteristic
163#89446C2211yescharacteristic
164#89445C2211yescharacteristic
165#89445C2211yescharacteristic
166#89445C2211yescharacteristic, complemented
167#89444C2211yescharacteristic
168#89444C2211yescharacteristic
169#89441C2211yescharacteristic
170#89441C2211yescharacteristic, complemented
171#89440C2211yescharacteristic
172#89440C2211yescharacteristic, complemented
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89436C2211yescharacteristic
176#89436C2211yescharacteristic
177#89432C2211yescharacteristic, complemented
178#89429C2211yescharacteristic, complemented
179#89428C2211yescharacteristic, complemented
180#89428C2211yescharacteristic, complemented
181#89427C2211yescharacteristic, complemented
182#89426C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36745—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×Dic14C2311yescharacteristic
212C22×Dic14C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C7×#124—42no—
215C7×C22⋊Q8—24no—
216C7×#121—24no—
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C42×C7—42no—
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253#6510—24no—
254#6507—24no—
255#6502—24no—
256#6501—24no—
257#6500—24no—
258#6500—24no—
259#6499—24no—
260#6498—24no—
261#6493—42no—
262#6492—24no—
263#6492—24no—
264C4×C22⋊D7D418yescomplemented
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325#6461—24no—
326#6461—24no—
327#6459—24no—
328#6459—24no—
329#6459—24no—
330#6457—24no—
331#6455—24no—
332#6450—24no—
333#6448—24no—
334#6448—24no—
335#6448—24no—
336#6447—24no—
337#6445—42no—
338(C22⋊D7)⋊C4—24no—
339D7×C22⋊C4—24no—
340#6442—24no—
341#6442—24no—
342#6441—42no—
343#6435—42no—
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7×#95C2311yescharacteristic
347C7×#95C2311yescharacteristic
348C7×#95C2311yescharacteristic
349C7×#95C2311yescharacteristic
350C7×#95C2311yescharacteristic
351C7×#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C2×#542—71no—
381C2×#538—71no—
382#2854—71no—
383#2850D711yescharacteristic, complemented
384#2723—71no—
385#2716—71no—
386#2715—71no—
387#2712—71no—
388#2700—71no—
389#2698—71no—
390#2696—71no—
391#2691—71no—
392#2688—71no—
393#2686—71no—
394#2685—71no—
395#2684—71no—
396#2676—71no—
397#2674—71no—
398#2670—71no—
399#2668—71no—
400#2663—71no—
401#2661—71no—
402#2610—71no—
403#2604—71no—
404#2602—71no—
405#2601—71no—
406#2592—71no—
407#2561—71no—
408#2415—71no—
409#2411—71no—
410#2290—71no—
411C24×C7C2411yescharacteristic
412C24×C7C2411yescharacteristic
413C24×C7C2411yescharacteristic
414C23×D7—22no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7—41no—
418C23×D7—41no—
419C23×D7—41no—
420C23×D7—41no—
421C23×D7C2411yescharacteristic
422C23×D7C2411yescharacteristic
423C23×D7C2411yescharacteristic
424C2×C7×Q8—22no—
425C2×C7×Q8—41no—
426C2×C7×Q8—41no—
427C2×C7×D4—22no—
428C2×C7×D4—22no—
429C2×C7×D4—22no—
430C2×C7×D4—41no—
431C2×C7×D4—41no—
432C2×C7×D4—41no—
433C2×C7×D4—41no—
434C2×C7×D4—41no—
435C2×C7×D4—41no—
436C22×C4×C7—22no—
437C22×C4×C7—41no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7C2×D414yes—
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7C2×D414yes—
478C22×Dic7—22no—
479C22×Dic7—41no—
480C22×Dic7—41no—
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C2×D28—22no—
495C2×D28—22no—
496C2×D28—41no—
497C2×D28—41no—
498C2×D28—41no—
499C2×D28—41no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7C2×D414yes—
509C2×Dic14—22no—
510C2×Dic14—22no—
511C2×Dic14—22no—
512C2×Dic14—41no—
513C2×Dic14—41no—
514C2×Dic14—41no—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14—41no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—22no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4—41no—
534C42×C7—22no—
535C42×C7—22no—
536C42×C7—41no—
537C42×C7—41no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7—41no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
551C22⋊Dic7—41no—
552C22⋊Dic7C2×D414yes—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4C2×D414yes—
582C4⋊Dic7—22no—
583C4⋊Dic7—22no—
584C4⋊Dic7—22no—
585C4⋊Dic7—41no—
586C4⋊Dic7—41no—
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—22no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602Dic7⋊C4—41no—
603Dic7⋊C4—41no—
604Dic7⋊C4—41no—
605Dic7⋊C4C2×D414yes—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—22no—
609C4×Dic7—22no—
610C4×Dic7—41no—
611C4×Dic7—41no—
612C4×Dic7C2×D414yes—
613#542—148no—
614#538—148no—
615C2×C4⋊Q8—71no—
616C2×#126—71no—
617C2×#126—71no—
618C2×#126—71no—
619C2×#126—71no—
620C2×#124—71no—
621C2×#124—71no—
622C2×#124—71no—
623C2×#124—71no—
624C2×#124—71no—
625C2×#124C2×D711yescharacteristic
626C2×#123—71no—
627C2×#123—71no—
628C2×#123—71no—
629C2×#123—71no—
630C2×C22⋊Q8—71no—
631C2×C22⋊Q8—71no—
632C2×C22⋊Q8—71no—
633C2×C22⋊Q8—71no—
634C2×C22⋊Q8C2×D711yescharacteristic, complemented
635C2×#121—71no—
636C2×#121—71no—
637C2×#121—71no—
638C2×#121—71no—
639C2×#121C2×D711yescharacteristic
640C2×#120—71no—
641C2×#120—71no—
642C2×#120—71no—
643C2×C4×Q8—71no—
644C2×C4×D4—71no—
645C2×C4×D4—71no—
646C2×#117—71no—
647C2×#117—71no—
648C22×C22⋊C4—71no—
649C22×C42C2×D711yescharacteristic, complemented
650#400—71no—
651#400—71no—
652#399—71no—
653#399—71no—
654#398—71no—
655#398—71no—
656#397—71no—
657#397—71no—
658#397—71no—
659#397—71no—
660#397—71no—
661#397—71no—
662#397—71no—
663#397—71no—
664#397—71no—
665#397—71no—
666#396—71no—
667#396—71no—
668#396—71no—
669#396—71no—
670#395—71no—
671#395—71no—
672#395—71no—
673#394—71no—
674#394—71no—
675#394—71no—
676#394—71no—
677#394—71no—
678#394—71no—
679#394—71no—
680#394—71no—
681#394—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#393—71no—
687#393—71no—
688#393—71no—
689#393—71no—
690#393—71no—
691#393—71no—
692#393—71no—
693#392—71no—
694#392—71no—
695#392—71no—
696#392—71no—
697#392—71no—
698#391—71no—
699#391—71no—
700#391—71no—
701#391C2×D711yescharacteristic, complemented
702#390—71no—
703#390—71no—
704#390—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390C2×D711yescharacteristic
709#389—71no—
710#389—71no—
711#389—71no—
712#389—71no—
713#389—71no—
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388C2×D711yescharacteristic
731#388C2×D711yescharacteristic
732#388C2×D711yescharacteristic, complemented
733#388C2×D711yescharacteristic, complemented
734#387—71no—
735#387—71no—
736#387—71no—
737#387—71no—
738#387—71no—
739#387—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386C2×D711yescharacteristic
750#386C2×D711yescharacteristic
751#386C2×D711yescharacteristic, complemented
752#386C2×D711yescharacteristic, complemented
753#385—71no—
754#385—71no—
755#385—71no—
756#385—71no—
757#385—71no—
758#382C2×D711yescharacteristic, complemented
759#381—71no—
760#381—71no—
761#380—71no—
762#380—71no—
763#379—71no—
764#379—71no—
765#379—71no—
766C4×C4⋊C4—71no—
767C4×C22⋊C4—71no—
768C4×C22⋊C4—71no—
769#376—71no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7C22×D412yes—
791C23×C7C2511yescharacteristic
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—44no—
813C22×D7—82no—
814C22×D7—82no—
815C22×D7—82no—
816C22×D7—82no—
817C22×D7—82no—
818C22×D7—82no—
819C22×D7C22×D412yes—
820C7×Q8—82no—
821C7×D4—82no—
822C7×D4—82no—
823C7×D4—82no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—44no—
858C2×C4×C7—44no—
859C2×C4×C7—44no—
860C2×C4×C7C22×D412yes—
861C2×C4×C7C22×D412yes—
862C2×C4×C7H(5,𝔽2)12yes—
863C22⋊D7—44no—
864C22⋊D7—44no—
865C22⋊D7—82no—
866C22⋊D7—82no—
867C22⋊D7—82no—
868C22⋊D7—82no—
869C22⋊D7—82no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—82no—
907C2×Dic7C22×D412yes—
908C2×Dic7C22×D412yes—
909C2×Dic7C22×D412yes—
910D28—82no—
911D28—82no—
912C4×D7—44no—
913C4×D7—44no—
914C4×D7—82no—
915Dic14—44no—
916Dic14—82no—
917Dic14—82no—
918C25—71no—
919C22×Q8—71no—
920C22×Q8—71no—
921C22×Q8—71no—
922C22×Q8C22×D711yescharacteristic
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4—71no—
928C22×D4—71no—
929C22×D4—71no—
930C22×D4—71no—
931C22×D4—71no—
932C22×D4C22×D711yescharacteristic
933C22×D4C22×D711yescharacteristic
934C22×D4C22×D711yescharacteristic
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C4⋊Q8—144no—
943#126—144no—
944#126—144no—
945#126—144no—
946#126—144no—
947#124—42no—
948#124—144no—
949#124—144no—
950#124—144no—
951#124—144no—
952#124—144no—
953#123—144no—
954#123—144no—
955#123—144no—
956#123—144no—
957C22⋊Q8—24no—
958C22⋊Q8—144no—
959C22⋊Q8—144no—
960C22⋊Q8—144no—
961C22⋊Q8—282no—
962#121—24no—
963#121—144no—
964#121—144no—
965#121—144no—
966#121—282no—
967#120—144no—
968#120—144no—
969#120—282no—
970C4×Q8—144no—
971C4×D4—78no—
972C4×D4—144no—
973#117—144no—
974#117—282no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4C22×D711yescharacteristic
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—144no—
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C22⋊C4C22×D711yescharacteristic
1052C2×C22⋊C4C22×D711yescharacteristic
1053C2×C22⋊C4C22×D711yescharacteristic
1054C2×C22⋊C4C22×D711yescharacteristic
1055C2×C22⋊C4C22×D711yescharacteristic
1056C2×C22⋊C4C22×D711yescharacteristic
1057C2×C22⋊C4C22×D711yescharacteristic
1058C2×C22⋊C4C22×D711yescharacteristic
1059C2×C22⋊C4C22×D711yescharacteristic
1060C2×C42—42no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42C22×D711yescharacteristic
1069C2×C42C22×D711yescharacteristic
1070C2×C42C22×D711yescharacteristic
1071C2×C42C22×D711yescharacteristic
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95—71no—
1100#95C22×D711yescharacteristic
1101#95C22×D711yescharacteristic
1102#95C22×D711yescharacteristic
1103#95C22×D711yescharacteristic
1104#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107#95C22×D711yescharacteristic
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7—41no—
1127C22×C7—41no—
1128C22×C7—41no—
1129C22×C7C23×D411yescharacteristic
1130C22×C7C2×H(5,𝔽2)11yescharacteristic
1131C22×C7#58511yescharacteristic
1132C22×C7#58511yescharacteristic
1133C22×C7#58511yescharacteristic
1134C22×C7#58511yescharacteristic
1135C22×C7#58511yescharacteristic
1136C2×D7—22no—
1137C2×D7—22no—
1138C2×D7—22no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C2×D7—88no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—22no—
1161C4×C7—41no—
1162C4×C7—41no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7—41no—
1169C4×C7—41no—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—41no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183C24—71no—
1184C24—71no—
1185C24—71no—
1186C24—142no—
1187C24—281no—
1188C24—281no—
1189C24—281no—
1190C24—281no—
1191C24—281no—
1192C24—281no—
1193C24C23×D711yescharacteristic
1194C24C23×D711yescharacteristic
1195C24C23×D711yescharacteristic
1196C2×Q8—22no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—142no—
1200C2×Q8—142no—
1201C2×Q8—142no—
1202C2×Q8—281no—
1203C2×Q8—281no—
1204C2×Q8—281no—
1205C2×Q8—281no—
1206C2×Q8—281no—
1207C2×Q8—281no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—74no—
1218C2×D4—142no—
1219C2×D4—142no—
1220C2×D4—142no—
1221C2×D4—142no—
1222C2×D4—142no—
1223C2×D4—142no—
1224C2×D4—281no—
1225C2×D4—281no—
1226C2×D4—281no—
1227C2×D4—281no—
1228C2×D4—281no—
1229C2×D4—281no—
1230C2×D4—281no—
1231C2×D4—281no—
1232C2×D4—281no—
1233C2×D4—281no—
1234C2×D4—281no—
1235C2×D4—281no—
1236C2×D4—281no—
1237C2×D4—281no—
1238C2×D4—281no—
1239C2×D4—281no—
1240C2×D4—281no—
1241C2×D4—281no—
1242C2×D4—281no—
1243C2×D4—281no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—71no—
1253C22×C4—71no—
1254C22×C4—71no—
1255C22×C4—74no—
1256C22×C4—71no—
1257C22×C4—71no—
1258C22×C4—71no—
1259C22×C4—71no—
1260C22×C4—71no—
1261C22×C4—71no—
1262C22×C4—71no—
1263C22×C4—71no—
1264C22×C4—71no—
1265C22×C4—71no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—142no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4—281no—
1275C22×C4—281no—
1276C22×C4—281no—
1277C22×C4D4×D714yes—
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—74no—
1295C4⋊C4—142no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
1302C4⋊C4—142no—
1303C4⋊C4—142no—
1304C4⋊C4—142no—
1305C4⋊C4—142no—
1306C4⋊C4—142no—
1307C4⋊C4—281no—
1308C4⋊C4—281no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—74no—
1331C22⋊C4—74no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—281no—
1352C22⋊C4—281no—
1353C22⋊C4—281no—
1354C22⋊C4—281no—
1355C22⋊C4—281no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C22⋊C4—281no—
1365C22⋊C4—281no—
1366C22⋊C4—281no—
1367C22⋊C4—281no—
1368C22⋊C4—281no—
1369C22⋊C4—281no—
1370C22⋊C4—281no—
1371C22⋊C4—281no—
1372C22⋊C4—281no—
1373C22⋊C4—281no—
1374C42—22no—
1375C42—22no—
1376C42—41no—
1377C42—41no—
1378C42—74no—
1379C42—142no—
1380C42—142no—
1381C42—142no—
1382C42—142no—
1383C42—281no—
1384C42—281no—
1385C2×C7—42no—
1386C2×C7—81no—
1387C2×C7—81no—
1388C2×C7#344911yescharacteristic
1389C2×C7#349611yescharacteristic
1390C2×C7#350011yescharacteristic
1391C2×C7#353311yescharacteristic
1392C2×C7#354011yescharacteristic
1393C2×C7#356611yescharacteristic
1394C2×C7#356811yescharacteristic
1395D7—42no—
1396D7—81no—
1397D7—81no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—72no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23—141no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—141no—
1439C23—284no—
1440C23—562no—
1441C23—562no—
1442C23—562no—
1443C23—562no—
1444C23—562no—
1445C23—562no—
1446C23C2×D4×D712yes—
1447C23C24×D711yescharacteristic
1448Q8—82no—
1449Q8—284no—
1450Q8—562no—
1451Q8—562no—
1452D4—82no—
1453D4—82no—
1454D4—82no—
1455D4—284no—
1456D4—284no—
1457D4—562no—
1458D4—562no—
1459D4—562no—
1460D4—562no—
1461D4—562no—
1462D4—562no—
1463D4—562no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—72no—
1501C2×C4—72no—
1502C2×C4—72no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—141no—
1526C2×C4—141no—
1527C2×C4—141no—
1528C2×C4—141no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—562no—
1542C2×C4—562no—
1543C2×C4C2×D4×D712yes—
1544C2×C4C2×D4×D712yes—
1545C2×C4#654812yes—
1546C7#3674511yescharacteristic, complemented, Sylow
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—142no—
1569C22—142no—
1570C22—142no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—568no—
1590C22C22×D4×D711yescharacteristic
1591C22C2×#654811yescharacteristic
1592C22#9061611yescharacteristic
1593C22#9061611yescharacteristic
1594C22#9061611yescharacteristic
1595C22#9061611yescharacteristic
1596C22#9061611yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—142no—
1610C4—142no—
1611C4—142no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C4—281no—
1617C4—281no—
1618C4—281no—
1619C4—281no—
1620C4—281no—
1621C4—281no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—282no—
1626C2—561no—
1627C2—561no—
1628C2#1174301811yescharacteristic
1629C2#1174311711yescharacteristic
1630C2#1174312311yescharacteristic
1631C2#1174314411yescharacteristic
1632C2#1174321211yescharacteristic
1633C2#1174325311yescharacteristic
1634C2#1174330311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2850C2
hypercenter#2850D7
hypocenterC7#36745
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. C2×#90331C2semidirect
2. C2×#90304C2semidirect
3. C7×#2850C2semidirect
4. #11740448C2semidirect
5. #11740427C2semidirect
6. #11740270C2semidirect
7. #11740157C2semidirect
8. #11739525C2semidirect
9. #11739510C2semidirect
10. #11734094C2semidirect
11. #11734015C2semidirect
12. #11733913C2semidirect
13. #11733829C2semidirect
14. #11733335C2semidirect
15. #11733287C2semidirect
16. #11733095C2semidirect
17. #11733093C2semidirect
18. #11733090C2semidirect
19. #11733089C2semidirect
20. #11733064C2semidirect
21. #11732941C2semidirect
22. #11732368C2semidirect
23. #11732365C2semidirect
24. #11732364C2semidirect
25. #11732356C2semidirect
26. #11732269C2semidirect
27. #11732267C2semidirect
28. #11732245C2semidirect
29. #11732238C2semidirect
30. #11731692C2semidirect
31. #11731645C2semidirect
33. C2×C7×C22⋊Q8C22semidirect
35. C22×C42×C7C22semidirect
37. C2×#6507C22semidirect
46. C2×#6492C22semidirect
54. C2×#6459C22semidirect
56. C2×#6455C22semidirect
57. C2×#6450C22semidirect
60. C2×#6448C22semidirect
66. C2×#6442C22semidirect
67. C2×#6441C22semidirect
69. C7×#391C22semidirect
73. C7×#388C22semidirect
74. C7×#388C22semidirect
77. C7×#386C22semidirect
78. C7×#386C22semidirect
79. C7×#382C22semidirect
81. #90001C22semidirect
84. #89995C22semidirect
87. #89994C22semidirect
91. #89985C22semidirect
92. #89984C22semidirect
93. #89982C22semidirect
94. #89982C22semidirect
95. C4×C22⋊Dic7C22semidirect
96. #89765C22semidirect
100. #89754C22semidirect
101. #89752C22semidirect
102. #89744C22semidirect
103. #89744C22semidirect
114. #89730C22semidirect
118. #89729C22semidirect
120. #89728C22semidirect
125. #89724C22semidirect
126. #89724C22semidirect
127. #89724C22semidirect
129. #89723C22semidirect
135. #89719C22semidirect
136. #89718C22semidirect
140. #89717C22semidirect
141. #89714C22semidirect
146. #89712C22semidirect
147. #89712C22semidirect
151. #89705C22semidirect
152. #89705C22semidirect
153. #89704C22semidirect
154. C4×Dic7⋊C4C22semidirect
155. #89700C22semidirect
156. #89700C22semidirect
158. #89448C22semidirect
166. #89445C22semidirect
170. #89441C22semidirect
172. #89440C22semidirect
177. #89432C22semidirect
178. #89429C22semidirect
179. #89428C22semidirect
180. #89428C22semidirect
181. #89427C22semidirect
182. #89426C22semidirect
183. #89424C22semidirect
184. #89424C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
264. C4×C22⋊D7D4semidirect
383. #2850D7semidirect
634. C2×C22⋊Q8C2×D7semidirect
649. C22×C42C2×D7semidirect
701. #391C2×D7semidirect
732. #388C2×D7semidirect
733. #388C2×D7semidirect
751. #386C2×D7semidirect
752. #386C2×D7semidirect
758. #382C2×D7semidirect
1546. C7#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#903312
C2×#903042
C7×#28502
#117404482
#117404272
#117402702
#117401572
#117395252
#117395102
#117340942
#117340152
#117339132
#117338292
#117333352
#117332872
#117330952
#117330932
#117330902
#117330892
#117330642
#117329412
#117323682
#117323652
#117323642
#117323562
#117322692
#117322672
#117322452
#117322382
#117316922
#117316452
#367457