Finite Group Databasebeta

← #13561328

Subgroups — #13561328

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×#90353C211yesmaximal, characteristic, complemented
2C2×#90185C211yesmaximal, characteristic, complemented
3C7×#2411C211yesmaximal, characteristic, complemented
4#11740347C211yesmaximal, characteristic, complemented
5#11740053C211yesmaximal, characteristic, complemented
6#11740040C211yesmaximal, characteristic, complemented
7#11739722C211yesmaximal, characteristic, complemented
8#11739713C211yesmaximal, characteristic, complemented
9#11739561C211yesmaximal, characteristic, complemented
10#11734880C211yesmaximal, characteristic, complemented
11#11734872C211yesmaximal, characteristic, complemented
12#11734807C211yesmaximal, characteristic, complemented
13#11734806C211yesmaximal, characteristic, complemented
14#11734486C211yesmaximal, characteristic, complemented
15#11734480C211yesmaximal, characteristic, complemented
16#11734462C211yesmaximal, characteristic, complemented
17#11734448C211yesmaximal, characteristic, complemented
18#11733920C211yesmaximal, characteristic, complemented
19#11733905C211yesmaximal, characteristic, complemented
20#11733817C211yesmaximal, characteristic, complemented
21#11733814C211yesmaximal, characteristic, complemented
22#11733402C211yesmaximal, characteristic, complemented
23#11733356C211yesmaximal, characteristic, complemented
24#11733093C211yesmaximal, characteristic, complemented
25#11733064C211yesmaximal, characteristic, complemented
26#11732256C211yesmaximal, characteristic, complemented
27#11732243C211yesmaximal, characteristic, complemented
28#11731966C211yesmaximal, characteristic, complemented
29#11731957C211yesmaximal, characteristic, complemented
30#11731304C211yesmaximal, characteristic, complemented
31#11731283C211yesmaximal, characteristic, complemented
32C2×C7×#123C2211yescharacteristic
33C2×C7×#120C2211yescharacteristic
34C2×C7×#117C2211yescharacteristic
35C22×C7×C22⋊C4C2211yescharacteristic
36C2×#6516C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6501C2211yescharacteristic
40C2×#6499C2211yescharacteristic
41C2×#6493C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×#6487C2211yescharacteristic
45C2×#6487C2211yescharacteristic
46#90353—28no—
47C2×#6461C2211yescharacteristic, complemented
48C2×#6460C2211yescharacteristic, complemented
49C2×#6459C2211yescharacteristic, complemented
50C2×#6451C2211yescharacteristic, complemented
51C2×#6450C2211yescharacteristic, complemented
52#90185—28no—
53C2×#6448C2211yescharacteristic
54C2×#6448C2211yescharacteristic
55C2×#6448C2211yescharacteristic
56C2×#6448C2211yescharacteristic
57C2×#6448C2211yescharacteristic, complemented
58C2×#6447C2211yescharacteristic
59C2×#6447C2211yescharacteristic
60C2×#6446C2211yescharacteristic
61C2×#6446C2211yescharacteristic
62C2×#6446C2211yescharacteristic, complemented
63C2×#6442C2211yescharacteristic
64C2×#6442C2211yescharacteristic
65C2×#6442C2211yescharacteristic
66C2×#6441C2211yescharacteristic, complemented
67C2×#6440C2211yescharacteristic, complemented
68C2×C42×D7C2211yescharacteristic, complemented
69C7×#396C2211yescharacteristic
70C7×#396C2211yescharacteristic
71C7×#394C2211yescharacteristic
72C7×#394C2211yescharacteristic
73C7×#390C2211yescharacteristic
74C7×#390C2211yescharacteristic
75C7×#388C2211yescharacteristic
76C7×#388C2211yescharacteristic
77C7×#386C2211yescharacteristic
78C7×#385C2211yescharacteristic
79C7×#379C2211yescharacteristic
80#90019C2211yescharacteristic
81#90019C2211yescharacteristic
82#89995C2211yescharacteristic
83#89995C2211yescharacteristic
84#89995C2211yescharacteristic
85#89995C2211yescharacteristic
86#89994C2211yescharacteristic
87#89994C2211yescharacteristic
88#89993C2211yescharacteristic
89#89992C2211yescharacteristic
90#89992C2211yescharacteristic
91#89983C2211yescharacteristic
92#89983C2211yescharacteristic
93C4×C22⋊Dic7C2211yescharacteristic
94#89763C2211yescharacteristic, complemented
95#89762C2211yescharacteristic, complemented
96#89762C2211yescharacteristic, complemented
97#89761C2211yescharacteristic, complemented
98#89761C2211yescharacteristic, complemented
99#89761C2211yescharacteristic, complemented
100#89759C2211yescharacteristic, complemented
101#89759C2211yescharacteristic, complemented
102#89757C2211yescharacteristic, complemented
103#89757C2211yescharacteristic, complemented
104#89756C2211yescharacteristic, complemented
105#89753C2211yescharacteristic, complemented
106#89752C2211yescharacteristic, complemented
107#89751C2211yescharacteristic, complemented
108#89750C2211yescharacteristic, complemented
109#89750C2211yescharacteristic, complemented
110#89750C2211yescharacteristic, complemented
111#89746C2211yescharacteristic, complemented
112#89744C2211yescharacteristic, complemented
113#89733C2211yescharacteristic
114#89733C2211yescharacteristic
115#89733C2211yescharacteristic
116#89733C2211yescharacteristic
117#89732C2211yescharacteristic, complemented
118#89731C2211yescharacteristic
119#89731C2211yescharacteristic
120#89731C2211yescharacteristic
121#89731C2211yescharacteristic
122#89730C2211yescharacteristic, complemented
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89729C2211yescharacteristic
126#89729C2211yescharacteristic, complemented
127#89728C2211yescharacteristic
128#89728C2211yescharacteristic
129#89728C2211yescharacteristic
130#89728C2211yescharacteristic
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic, complemented
133#89728C2211yescharacteristic, complemented
134#89725C2211yescharacteristic
135#89725C2211yescharacteristic
136#89725C2211yescharacteristic
137#89725C2211yescharacteristic
138#89724C2211yescharacteristic
139#89724C2211yescharacteristic
140#89724C2211yescharacteristic, complemented
141#89723C2211yescharacteristic
142#89723C2211yescharacteristic
143#89723C2211yescharacteristic
144#89723C2211yescharacteristic, complemented
145#89722C2211yescharacteristic, complemented
146#89721C2211yescharacteristic
147#89721C2211yescharacteristic
148#89720C2211yescharacteristic
149#89720C2211yescharacteristic, complemented
150#89719C2211yescharacteristic
151#89719C2211yescharacteristic
152#89719C2211yescharacteristic
153#89719C2211yescharacteristic
154#89719C2211yescharacteristic
155#89719C2211yescharacteristic, complemented
156#89717C2211yescharacteristic
157#89717C2211yescharacteristic
158#89717C2211yescharacteristic
159#89717C2211yescharacteristic
160#89717C2211yescharacteristic
161#89717C2211yescharacteristic
162#89717C2211yescharacteristic, complemented
163#89716C2211yescharacteristic
164#89716C2211yescharacteristic
165#89716C2211yescharacteristic, complemented
166#89712C2211yescharacteristic, complemented
167#89712C2211yescharacteristic, complemented
168C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
169#89704C2211yescharacteristic, complemented
170C4×Dic7⋊C4C2211yescharacteristic, complemented
171#89700C2211yescharacteristic, complemented
172#89700C2211yescharacteristic, complemented
173#89447C2211yescharacteristic, complemented
174#89447C2211yescharacteristic, complemented
175#89446C2211yescharacteristic, complemented
176#89445C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178#89437C2211yescharacteristic, complemented
179#89432C2211yescharacteristic, complemented
180#89432C2211yescharacteristic, complemented
181#89428C2211yescharacteristic, complemented
182#89428C2211yescharacteristic, complemented
183#89426C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36745—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
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
204C23×Dic7C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×Dic14C2311yescharacteristic
211C22×Dic14C2311yescharacteristic
212C22×Dic14C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C7×#123—24no—
215C7×#120—42no—
216C7×#117—42no—
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4—24no—
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×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242C2×C42×C7C2311yescharacteristic
243#6516—24no—
244#6516—24no—
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
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
268#6502—24no—
269#6501—42no—
270#6499—24no—
271#6493—24no—
272C4×C22⋊D7—24no—
273C4×C22⋊D7D418yescomplemented
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×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298#6487—24no—
299#6487—24no—
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×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323#6461—24no—
324#6460—42no—
325#6459—24no—
326#6451—24no—
327#6450—24no—
328#6448—24no—
329#6448—24no—
330#6448—24no—
331#6448—24no—
332#6448—42no—
333#6447—24no—
334#6447—24no—
335#6446—24no—
336#6446—24no—
337#6446—24no—
338#6442—24no—
339#6442—24no—
340#6442—24no—
341#6441—24no—
342#6440—24no—
343C42×D7—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#2850—71no—
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#2411D711yescharacteristic, complemented
410#2290—71no—
411C24×C7—22no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7—41no—
415C24×C7—41no—
416C24×C7—41no—
417C24×C7—41no—
418C24×C7C2411yescharacteristic
419C24×C7C2411yescharacteristic
420C24×C7C2411yescharacteristic
421C24×C7C2411yescharacteristic
422C23×D7C2411yescharacteristic
423C23×D7C2411yescharacteristic
424C2×C7×D4—22no—
425C2×C7×D4—22no—
426C2×C7×D4—41no—
427C2×C7×D4—41no—
428C2×C7×D4—41no—
429C2×C7×D4—41no—
430C2×C7×D4—41no—
431C2×C7×D4—41no—
432C2×C7×D4—41no—
433C22×C4×C7—22no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7—41no—
438C22×C4×C7C2×D414yes—
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
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⋊D7C2×D414yes—
474C22×Dic7—22no—
475C22×Dic7—41no—
476C22×Dic7—41no—
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C2×D28—22no—
492C2×D28—41no—
493C2×D28—41no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7C2×D414yes—
506C2×Dic14—22no—
507C2×Dic14—22no—
508C2×Dic14—22no—
509C2×Dic14—22no—
510C2×Dic14—41no—
511C2×Dic14—41no—
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—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—41no—
534C7×C22⋊C4—41no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C7×C22⋊C4—41no—
538C7×C22⋊C4—41no—
539C7×C22⋊C4—41no—
540C7×C22⋊C4—41no—
541C42×C7—22no—
542C42×C7—41no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—22no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—41no—
553C22⋊Dic7—41no—
554C22⋊Dic7—41no—
555C22⋊Dic7—41no—
556C22⋊Dic7—41no—
557C22⋊Dic7—41no—
558C22⋊Dic7—41no—
559C22⋊Dic7—41no—
560C22⋊Dic7—41no—
561C22⋊Dic7—41no—
562C22⋊Dic7—41no—
563C22⋊Dic7—41no—
564C22⋊Dic7—41no—
565C22⋊Dic7C2×D414yes—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
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—22no—
586C4⋊Dic7—22no—
587C4⋊Dic7—41no—
588C4⋊Dic7—41no—
589C4⋊Dic7—41no—
590Dic7⋊C4—22no—
591Dic7⋊C4—22no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—22no—
597Dic7⋊C4—22no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600Dic7⋊C4—41no—
601Dic7⋊C4—41no—
602Dic7⋊C4—41no—
603Dic7⋊C4C2×D414yes—
604C4×Dic7—22no—
605C4×Dic7—22no—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—22no—
609C4×Dic7—41no—
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×#124—71no—
626C2×#123—71no—
627C2×#123—71no—
628C2×#123—71no—
629C2×#123C2×D711yescharacteristic
630C2×C22⋊Q8—71no—
631C2×C22⋊Q8—71no—
632C2×C22⋊Q8—71no—
633C2×C22⋊Q8—71no—
634C2×C22⋊Q8—71no—
635C2×#121—71no—
636C2×#121—71no—
637C2×#121—71no—
638C2×#121—71no—
639C2×#121—71no—
640C2×#120—71no—
641C2×#120—71no—
642C2×#120C2×D711yescharacteristic
643C2×C4×Q8—71no—
644C2×C4×D4—71no—
645C2×C4×D4—71no—
646C2×#117—71no—
647C2×#117C2×D711yescharacteristic
648C22×C22⋊C4C2×D711yescharacteristic
649C22×C42—71no—
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#396C2×D711yescharacteristic
669#396C2×D711yescharacteristic
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#394C2×D711yescharacteristic
685#394C2×D711yescharacteristic
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#391—71no—
702#390—71no—
703#390—71no—
704#390—71no—
705#390—71no—
706#390—71no—
707#390C2×D711yescharacteristic
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#388—71no—
731#388—71no—
732#388C2×D711yescharacteristic
733#388C2×D711yescharacteristic
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#386—71no—
750#386—71no—
751#386—71no—
752#386C2×D711yescharacteristic
753#385—71no—
754#385—71no—
755#385—71no—
756#385—71no—
757#385C2×D711yescharacteristic
758#382—71no—
759#381—71no—
760#381—71no—
761#380—71no—
762#380—71no—
763#379—71no—
764#379—71no—
765#379C2×D711yescharacteristic
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×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—44no—
798C23×C7—82no—
799C23×C7—82no—
800C23×C7—82no—
801C23×C7—82no—
802C23×C7—82no—
803C23×C7—82no—
804C23×C7C22×D412yes—
805C23×C7C2511yescharacteristic
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7C22×D412yes—
820C7×D4—82no—
821C7×D4—82no—
822C7×D4—82no—
823C2×C4×C7—21no—
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—44no—
854C2×C4×C7—82no—
855C2×C4×C7C22×D412yes—
856C2×C4×C7C22×D412yes—
857C2×C4×C7H(5,𝔽2)12yes—
858C22⋊D7—44no—
859C22⋊D7—44no—
860C22⋊D7—82no—
861C22⋊D7—82no—
862C22⋊D7—82no—
863C22⋊D7—82no—
864C22⋊D7—82no—
865C22⋊D7—82no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
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—44no—
906C2×Dic7C22×D412yes—
907C2×Dic7C22×D412yes—
908C2×Dic7C22×D412yes—
909D28—82no—
910C4×D7—44no—
911C4×D7—44no—
912C4×D7—44no—
913C4×D7—82no—
914Dic14—44no—
915Dic14—82no—
916Dic14—82no—
917Dic14—82no—
918C25C22×D711yescharacteristic
919C22×Q8—71no—
920C22×Q8—71no—
921C22×Q8—71no—
922C22×Q8—71no—
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×C4—71no—
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C4⋊Q8—144no—
943#126—144no—
944#126—144no—
945#126—144no—
946#126—144no—
947#124—144no—
948#124—144no—
949#124—144no—
950#124—144no—
951#124—144no—
952#124—282no—
953#123—24no—
954#123—144no—
955#123—144no—
956#123—144no—
957C22⋊Q8—144no—
958C22⋊Q8—144no—
959C22⋊Q8—144no—
960C22⋊Q8—144no—
961C22⋊Q8—282no—
962#121—144no—
963#121—144no—
964#121—144no—
965#121—144no—
966#121—282no—
967#120—42no—
968#120—144no—
969#120—144no—
970C4×Q8—144no—
971C4×D4—78no—
972C4×D4—144no—
973#117—42no—
974#117—144no—
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⋊C4C22×D711yescharacteristic
998C2×C4⋊C4C22×D711yescharacteristic
999C2×C4⋊C4C22×D711yescharacteristic
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C22⋊C4—24no—
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⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
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—71no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42—71no—
1069C2×C42—282no—
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#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
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×C7—41no—
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7—41no—
1136C22×C7—88no—
1137C22×C7C23×D411yescharacteristic
1138C22×C7C2×H(5,𝔽2)11yescharacteristic
1139C22×C7#58511yescharacteristic
1140C22×C7#58511yescharacteristic
1141C22×C7#58511yescharacteristic
1142C22×C7#58511yescharacteristic
1143C22×C7#58511yescharacteristic
1144C2×D7—22no—
1145C2×D7—22no—
1146C2×D7—22no—
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—41no—
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—
1169Dic7—22no—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—41no—
1173Dic7—41no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—41no—
1188C24—41no—
1189C24—41no—
1190C24—71no—
1191C24—71no—
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C24C23×D711yescharacteristic
1195C24C23×D711yescharacteristic
1196C2×Q8—142no—
1197C2×Q8—142no—
1198C2×Q8—142no—
1199C2×Q8—142no—
1200C2×Q8—281no—
1201C2×Q8—281no—
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—41no—
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—142no—
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—71no—
1250C22×C4—71no—
1251C22×C4—71no—
1252C22×C4—74no—
1253C22×C4—71no—
1254C22×C4—71no—
1255C22×C4—71no—
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—142no—
1265C22×C4—142no—
1266C22×C4—142no—
1267C22×C4—281no—
1268C22×C4—281no—
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×C4—281no—
1278C22×C4D4×D714yes—
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—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—74no—
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—142no—
1308C4⋊C4—142no—
1309C4⋊C4—142no—
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—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—74no—
1336C22⋊C4—74no—
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—142no—
1352C22⋊C4—142no—
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—41no—
1376C42—74no—
1377C42—142no—
1378C42—142no—
1379C42—142no—
1380C42—142no—
1381C42—142no—
1382C42—281no—
1383C42—281no—
1384C42—281no—
1385C2×C7—42no—
1386C2×C7—81no—
1387C2×C7—81no—
1388C2×C7—81no—
1389C2×C7#344911yescharacteristic
1390C2×C7#349611yescharacteristic
1391C2×C7#350011yescharacteristic
1392C2×C7#353311yescharacteristic
1393C2×C7#354011yescharacteristic
1394C2×C7#356611yescharacteristic
1395C2×C7#356811yescharacteristic
1396D7—42no—
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—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—72no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—141no—
1439C23—141no—
1440C23—141no—
1441C23—141no—
1442C23—141no—
1443C23—141no—
1444C23—141no—
1445C23—141no—
1446C23C2×D4×D712yes—
1447C23C24×D711yescharacteristic
1448Q8—284no—
1449Q8—562no—
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—44no—
1495C2×C4—72no—
1496C2×C4—72no—
1497C2×C4—72no—
1498C2×C4—82no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
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—284no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—284no—
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—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—88no—
1576C22—142no—
1577C22—142no—
1578C22—142no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—281no—
1590C22C22×D4×D711yescharacteristic
1591C22C2×#654811yescharacteristic
1592C22#9061611yescharacteristic
1593C22#9061611yescharacteristic
1594C22#9061611yescharacteristic
1595C22#9061811yescharacteristic
1596C22#9061811yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—142no—
1609C4—142no—
1610C4—142no—
1611C4—281no—
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—81no—
1626C2—282no—
1627C2—561no—
1628C2#1174301811yescharacteristic
1629C2#1174310311yescharacteristic
1630C2#1174338511yescharacteristic
1631C2#1174373611yescharacteristic
1632C2#1174373911yescharacteristic
1633C2#1174388111yescharacteristic
1634C2#1174389211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2411C2
hypercenter#2411D7
hypocenterC7#36745
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
1. C2×#90353C2semidirect
2. C2×#90185C2semidirect
3. C7×#2411C2semidirect
4. #11740347C2semidirect
5. #11740053C2semidirect
6. #11740040C2semidirect
7. #11739722C2semidirect
8. #11739713C2semidirect
9. #11739561C2semidirect
10. #11734880C2semidirect
11. #11734872C2semidirect
12. #11734807C2semidirect
13. #11734806C2semidirect
14. #11734486C2semidirect
15. #11734480C2semidirect
16. #11734462C2semidirect
17. #11734448C2semidirect
18. #11733920C2semidirect
19. #11733905C2semidirect
20. #11733817C2semidirect
21. #11733814C2semidirect
22. #11733402C2semidirect
23. #11733356C2semidirect
24. #11733093C2semidirect
25. #11733064C2semidirect
26. #11732256C2semidirect
27. #11732243C2semidirect
28. #11731966C2semidirect
29. #11731957C2semidirect
30. #11731304C2semidirect
31. #11731283C2semidirect
47. C2×#6461C22semidirect
48. C2×#6460C22semidirect
49. C2×#6459C22semidirect
50. C2×#6451C22semidirect
51. C2×#6450C22semidirect
57. C2×#6448C22semidirect
62. C2×#6446C22semidirect
66. C2×#6441C22semidirect
67. C2×#6440C22semidirect
68. C2×C42×D7C22semidirect
94. #89763C22semidirect
95. #89762C22semidirect
96. #89762C22semidirect
97. #89761C22semidirect
98. #89761C22semidirect
99. #89761C22semidirect
100. #89759C22semidirect
101. #89759C22semidirect
102. #89757C22semidirect
103. #89757C22semidirect
104. #89756C22semidirect
105. #89753C22semidirect
106. #89752C22semidirect
107. #89751C22semidirect
108. #89750C22semidirect
109. #89750C22semidirect
110. #89750C22semidirect
111. #89746C22semidirect
112. #89744C22semidirect
117. #89732C22semidirect
122. #89730C22semidirect
126. #89729C22semidirect
132. #89728C22semidirect
133. #89728C22semidirect
140. #89724C22semidirect
144. #89723C22semidirect
145. #89722C22semidirect
149. #89720C22semidirect
155. #89719C22semidirect
162. #89717C22semidirect
165. #89716C22semidirect
166. #89712C22semidirect
167. #89712C22semidirect
168. C4×(C2×D7)⋊C4C22semidirect
169. #89704C22semidirect
170. C4×Dic7⋊C4C22semidirect
171. #89700C22semidirect
172. #89700C22semidirect
173. #89447C22semidirect
174. #89447C22semidirect
175. #89446C22semidirect
176. #89445C22semidirect
177. #89437C22semidirect
178. #89437C22semidirect
179. #89432C22semidirect
180. #89432C22semidirect
181. #89428C22semidirect
182. #89428C22semidirect
183. #89426C22semidirect
184. #89424C22semidirect
185. #89422C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
273. C4×C22⋊D7D4semidirect
409. #2411D7semidirect
1546. C7#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#903532
C2×#901852
C7×#24112
#117403472
#117400532
#117400402
#117397222
#117397132
#117395612
#117348802
#117348722
#117348072
#117348062
#117344862
#117344802
#117344622
#117344482
#117339202
#117339052
#117338172
#117338142
#117334022
#117333562
#117330932
#117330642
#117322562
#117322432
#117319662
#117319572
#117313042
#117312832
#367457