Finite Group Databasebeta

← #13526796

Subgroups — #13526796

Order 1792.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90255C211yesmaximal, characteristic, complemented
2C2×#90185C211yesmaximal, characteristic, complemented
3C7×#2321C211yesmaximal, characteristic, complemented
4#11740036C211yesmaximal, characteristic, complemented
5#11740031C211yesmaximal, characteristic, complemented
6C4×#6502C211yesmaximal, characteristic, complemented
7C2×#89717C211yesmaximal, characteristic, complemented
8#11733920C211yesmaximal, characteristic, complemented
9#11733905C211yesmaximal, characteristic, complemented
10#11733870C211yesmaximal, characteristic, complemented
11#11733822C211yesmaximal, characteristic, complemented
12#11733402C211yesmaximal, characteristic, complemented
13#11733356C211yesmaximal, characteristic, complemented
14#11733333C211yesmaximal, characteristic, complemented
15#11733331C211yesmaximal, characteristic, complemented
16#11733266C211yesmaximal, characteristic, complemented
17#11733109C211yesmaximal, characteristic, complemented
18#11733011C211yesmaximal, characteristic, complemented
19#11733010C211yesmaximal, characteristic, complemented
20#11732207C211yesmaximal, characteristic, complemented
21#11732202C211yesmaximal, characteristic, complemented
22#11732197C211yesmaximal, characteristic, complemented
23#11732185C211yesmaximal, characteristic, complemented
24#11732165C211yesmaximal, characteristic, complemented
25#11732163C211yesmaximal, characteristic, complemented
26#11731917C211yesmaximal, characteristic, complemented
27#11731855C211yesmaximal, characteristic, complemented
28#11731279C211yesmaximal, characteristic, complemented
29#11731274C211yesmaximal, characteristic, complemented
30#11730891C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C2×C7×#120C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C22×C7×C22⋊C4C2211yescharacteristic
35C2×#6516C2211yescharacteristic
36C2×#6516C2211yescharacteristic
37C22×C22⋊Dic7C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6501C2211yescharacteristic
42C2×#6498C2211yescharacteristic
43C2×#6493C2211yescharacteristic
44C2×#6492C2211yescharacteristic, complemented
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic, complemented
48C2×#6487C2211yescharacteristic
49C2×#6487C2211yescharacteristic, complemented
50C22×Dic7⋊C4C2211yescharacteristic
51C22×C4×Dic7C2211yescharacteristic
52#90255—28no—
53C2×#6459C2211yescharacteristic, complemented
54C2×#6452C2211yescharacteristic, complemented
55#90185—28no—
56C2×#6449C2211yescharacteristic
57C2×#6449C2211yescharacteristic
58C2×#6448C2211yescharacteristic
59C2×#6448C2211yescharacteristic
60C2×#6448C2211yescharacteristic
61C2×#6447C2211yescharacteristic
62C2×#6447C2211yescharacteristic
63C2×#6446C2211yescharacteristic
64C2×#6446C2211yescharacteristic
65C2×#6446C2211yescharacteristic, complemented
66C2×(C22⋊D7)⋊C4C2211yescharacteristic
67C2×(C22⋊D7)⋊C4C2211yescharacteristic
68C2×#6442C2211yescharacteristic
69C2×#6442C2211yescharacteristic
70C2×#6442C2211yescharacteristic, complemented
71C2×#6441C2211yescharacteristic
72C2×#6439C2211yescharacteristic, complemented
73C2×C42×D7C2211yescharacteristic, complemented
74C2×#6433C2211yescharacteristic, complemented
75C7×#390C2211yescharacteristic
76C7×#390C2211yescharacteristic
77C7×#388C2211yescharacteristic
78C7×#388C2211yescharacteristic
79C7×#388C2211yescharacteristic
80C7×#388C2211yescharacteristic
81C7×#386C2211yescharacteristic
82C7×#386C2211yescharacteristic
83C7×#386C2211yescharacteristic
84C7×#385C2211yescharacteristic
85C7×#379C2211yescharacteristic
86C4×C7×C22⋊C4C2211yescharacteristic
87#89995C2211yescharacteristic
88#89995C2211yescharacteristic
89#89995C2211yescharacteristic
90#89994C2211yescharacteristic
91#89993C2211yescharacteristic
92#89993C2211yescharacteristic
93#89993C2211yescharacteristic
94#89992C2211yescharacteristic
95C4×C22⋊Dic7C2211yescharacteristic, complemented
96C2×C7⋊#95C2211yescharacteristic
97C2×C7⋊#95C2211yescharacteristic
98#89766C2211yescharacteristic, complemented
99#89763C2211yescharacteristic, complemented
100#89762C2211yescharacteristic, complemented
101#89759C2211yescharacteristic, complemented
102#89757C2211yescharacteristic, complemented
103#89757C2211yescharacteristic, complemented
104#89756C2211yescharacteristic, complemented
105#89751C2211yescharacteristic, complemented
106#89745C2211yescharacteristic, complemented
107#89744C2211yescharacteristic, complemented
108#89733C2211yescharacteristic
109#89733C2211yescharacteristic
110#89732C2211yescharacteristic, complemented
111#89731C2211yescharacteristic
112#89731C2211yescharacteristic
113#89731C2211yescharacteristic
114#89731C2211yescharacteristic, complemented
115#89730C2211yescharacteristic
116#89730C2211yescharacteristic
117#89729C2211yescharacteristic
118#89729C2211yescharacteristic
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic, complemented
121#89728C2211yescharacteristic
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic, complemented
125#89724C2211yescharacteristic
126#89724C2211yescharacteristic, complemented
127#89723C2211yescharacteristic
128#89723C2211yescharacteristic
129#89723C2211yescharacteristic
130#89723C2211yescharacteristic, complemented
131#89723C2211yescharacteristic, complemented
132#89722C2211yescharacteristic
133#89721C2211yescharacteristic
134#89721C2211yescharacteristic
135#89720C2211yescharacteristic
136#89720C2211yescharacteristic
137#89720C2211yescharacteristic
138#89719C2211yescharacteristic
139#89719C2211yescharacteristic, complemented
140#89717C2211yescharacteristic
141#89717C2211yescharacteristic
142#89717C2211yescharacteristic
143#89717C2211yescharacteristic
144#89717C2211yescharacteristic
145#89717C2211yescharacteristic
146#89717C2211yescharacteristic
147#89717C2211yescharacteristic
148#89717C2211yescharacteristic, complemented
149#89716C2211yescharacteristic
150#89716C2211yescharacteristic
151#89716C2211yescharacteristic, complemented
152#89715C2211yescharacteristic
153#89714C2211yescharacteristic
154C22⋊C4×Dic7C2211yescharacteristic
155C22⋊C4×Dic7C2211yescharacteristic
156#89712C2211yescharacteristic, complemented
157#89712C2211yescharacteristic, complemented
158C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
160C4×Dic7⋊C4C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162C42×Dic7C2211yescharacteristic, complemented
163#89700C2211yescharacteristic, complemented
164#89700C2211yescharacteristic, complemented
165#89447C2211yescharacteristic, complemented
166#89446C2211yescharacteristic, complemented
167#89442C2211yescharacteristic, complemented
168#89441C2211yescharacteristic, complemented
169#89440C2211yescharacteristic, complemented
170#89440C2211yescharacteristic, complemented
171#89438C2211yescharacteristic, complemented
172#89438C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89433C2211yescharacteristic, complemented
176#89432C2211yescharacteristic, complemented
177#89430C2211yescharacteristic, complemented
178#89429C2211yescharacteristic, complemented
179#89429C2211yescharacteristic, complemented
180#89428C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89422C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#35009—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#120—24no—
217C4×C7×D4—24no—
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4—24no—
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×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241#6516—24no—
242#6516—24no—
243C2×C22⋊Dic7—24no—
244C2×C22⋊Dic7—42no—
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
265#6502—24no—
266#6502—24no—
267#6501—42no—
268#6498—24no—
269#6493—24no—
270#6492—24no—
271C4×C22⋊D7—24no—
272C4×C22⋊D7—42no—
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
298C2×C4⋊Dic7C2311yescharacteristic
299#6487—24no—
300#6487—24no—
301C2×Dic7⋊C4—24no—
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×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×C4×Dic7—42no—
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333#6459—24no—
334#6452—24no—
335#6449—24no—
336#6449—24no—
337#6448—24no—
338#6448—24no—
339#6448—42no—
340#6447—24no—
341#6447—24no—
342#6446—24no—
343#6446—24no—
344#6446—24no—
345(C22⋊D7)⋊C4—24no—
346(C22⋊D7)⋊C4—24no—
347#6442—24no—
348#6442—24no—
349#6442—24no—
350#6441—24no—
351#6439—24no—
352C42×D7—42no—
353#6433—24no—
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
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#539—71no—
387C2×#538—71no—
388#2861—71no—
389#2860—71no—
390#2854—71no—
391#2850—71no—
392#2664—71no—
393#2663—71no—
394#2662—71no—
395#2661—71no—
396#2560—71no—
397#2559—71no—
398#2558—71no—
399#2557—71no—
400#2549—71no—
401#2543—71no—
402#2539—71no—
403#2534—71no—
404#2521—71no—
405#2519—71no—
406#2488—71no—
407#2472—71no—
408#2464—71no—
409#2461—71no—
410#2425—71no—
411#2424—71no—
412#2322—71no—
413#2321D711yescharacteristic, complemented
414C4×#121—71no—
415C2×#388—71no—
416C42×D4—71no—
417C24×C7—22no—
418C24×C7—22no—
419C24×C7—22no—
420C24×C7—41no—
421C24×C7—41no—
422C24×C7—41no—
423C24×C7—41no—
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C24×C7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—41no—
436C2×C7×D4—41no—
437C2×C7×D4—41no—
438C2×C7×D4—41no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7C2×D414yes—
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
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
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⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7C2×D414yes—
483C22×Dic7—22no—
484C22×Dic7—22no—
485C22×Dic7—22no—
486C22×Dic7—22no—
487C22×Dic7—22no—
488C22×Dic7—22no—
489C22×Dic7—41no—
490C22×Dic7—41no—
491C22×Dic7—41no—
492C22×Dic7—41no—
493C22×Dic7—41no—
494C22×Dic7#4114yes—
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C2×D28—22no—
510C2×D28—41no—
511C2×D28—41no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7C2×D414yes—
524C2×Dic14—22no—
525C2×Dic14—22no—
526C2×Dic14—41no—
527C2×Dic14—41no—
528C2×Dic14—41no—
529C2×Dic14—41no—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—41no—
532C7×C4⋊C4—41no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—22no—
535C7×C22⋊C4—22no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—41no—
543C7×C22⋊C4—41no—
544C7×C22⋊C4—41no—
545C7×C22⋊C4—41no—
546C7×C22⋊C4—41no—
547C7×C22⋊C4—41no—
548C7×C22⋊C4#4114yes—
549C42×C7—22no—
550C42×C7—41no—
551C42×C7—41no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—22no—
559C22⋊Dic7—22no—
560C22⋊Dic7—22no—
561C22⋊Dic7—22no—
562C22⋊Dic7—22no—
563C22⋊Dic7—22no—
564C22⋊Dic7—22no—
565C22⋊Dic7—22no—
566C22⋊Dic7—22no—
567C22⋊Dic7—22no—
568C22⋊Dic7—41no—
569C22⋊Dic7—41no—
570C22⋊Dic7—41no—
571C22⋊Dic7C2×D414yes—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—22no—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4C2×D414yes—
588C4⋊Dic7—22no—
589C4⋊Dic7—22no—
590C4⋊Dic7—22no—
591C4⋊Dic7—22no—
592C4⋊Dic7—22no—
593C4⋊Dic7—22no—
594C4⋊Dic7—22no—
595C4⋊Dic7—41no—
596C4⋊Dic7—41no—
597Dic7⋊C4—22no—
598Dic7⋊C4—22no—
599Dic7⋊C4—22no—
600Dic7⋊C4—22no—
601Dic7⋊C4—22no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—41no—
613Dic7⋊C4—41no—
614Dic7⋊C4C2×D414yes—
615C4×Dic7—22no—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—22no—
621C4×Dic7—41no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7C2×D414yes—
627#539—148no—
628#538—148no—
629C2×#126—71no—
630C2×#126—71no—
631C2×#126—71no—
632C2×#126—71no—
633C2×#125—71no—
634C2×#125—71no—
635C2×#124—71no—
636C2×#124—71no—
637C2×#124—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123—71no—
645C2×C22⋊Q8—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121—71no—
655C2×#120—71no—
656C2×#120—71no—
657C2×#120C2×D711yescharacteristic
658C2×C4×D4—71no—
659C2×C4×D4—71no—
660C2×C4×D4—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4C2×D711yescharacteristic
664C22×C4⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667C22×C22⋊C4C2×D711yescharacteristic
668C22×C42—71no—
669C22×C42—71no—
670#400—71no—
671#400—71no—
672#399—71no—
673#399—71no—
674#398—71no—
675#398—71no—
676#398—71no—
677#398—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#396—71no—
683#396—71no—
684#396—71no—
685#396—71no—
686#395—71no—
687#395—71no—
688#394—71no—
689#394—71no—
690#394—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392—71no—
701#392—71no—
702#391—71no—
703#391—71no—
704#391—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#390—71no—
710#390—71no—
711#390—71no—
712#390C2×D711yescharacteristic
713#390C2×D711yescharacteristic
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389—71no—
719#389—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#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#388C2×D711yescharacteristic
743#388C2×D711yescharacteristic
744#388C2×D711yescharacteristic
745#388C2×D711yescharacteristic
746#387—71no—
747#387—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386—71no—
757#386C2×D711yescharacteristic
758#386C2×D711yescharacteristic
759#386C2×D711yescharacteristic
760#385—71no—
761#385—71no—
762#385—71no—
763#385C2×D711yescharacteristic
764#382—71no—
765#381—71no—
766#380—71no—
767#380—71no—
768#379C2×D711yescharacteristic
769C4×C4⋊C4—71no—
770C4×C4⋊C4—71no—
771C4×C4⋊C4—71no—
772C4×C4⋊C4—71no—
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4—71no—
780C4×C22⋊C4C2×D711yescharacteristic
781C2×#95—71no—
782C2×#95—71no—
783C43—71no—
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—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—44no—
810C23×C7—44no—
811C23×C7—44no—
812C23×C7—82no—
813C23×C7—82no—
814C23×C7—82no—
815C23×C7—82no—
816C23×C7C22×D412yes—
817C23×C7C2×#4112yes—
818C23×C7C2×#4112yes—
819C23×C7C2511yescharacteristic
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—21no—
831C22×D7—21no—
832C22×D7—21no—
833C22×D7C22×D412yes—
834C7×D4—44no—
835C7×D4—82no—
836C7×D4—82no—
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—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—44no—
867C2×C4×C7—82no—
868C2×C4×C7—82no—
869C2×C4×C7C22×D412yes—
870C2×C4×C7C22×D412yes—
871C2×C4×C7C2×#4112yes—
872C2×C4×C7C2×#4112yes—
873C22⋊D7—28no—
874C22⋊D7—44no—
875C22⋊D7—44no—
876C22⋊D7—82no—
877C22⋊D7—82no—
878C22⋊D7—82no—
879C22⋊D7—82no—
880C22⋊D7—82no—
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—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—44no—
918C2×Dic7—44no—
919C2×Dic7—44no—
920C2×Dic7—82no—
921C2×Dic7C22×D412yes—
922C2×Dic7C22×D412yes—
923C2×Dic7C22×D412yes—
924C2×Dic7C2×#4112yes—
925C2×Dic7C2×#4112yes—
926C2×Dic7H(5,𝔽2)12yes—
927D28—82no—
928C4×D7—44no—
929C4×D7—44no—
930C4×D7—44no—
931C4×D7—82no—
932Dic14—82no—
933Dic14—82no—
934C25C22×D711yescharacteristic
935C22×Q8—71no—
936C22×Q8—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4C22×D711yescharacteristic
947C22×D4C22×D711yescharacteristic
948C22×D4C22×D711yescharacteristic
949C23×C4—71no—
950C23×C4—71no—
951C23×C4—71no—
952C23×C4—71no—
953C23×C4—71no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4C22×D711yescharacteristic
958C23×C4C22×D711yescharacteristic
959C23×C4C22×D711yescharacteristic
960#126—144no—
961#126—144no—
962#126—144no—
963#126—144no—
964#125—144no—
965#125—144no—
966#124—144no—
967#124—144no—
968#124—282no—
969#123—144no—
970#123—144no—
971#123—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976C22⋊Q8—144no—
977C22⋊Q8—144no—
978C22⋊Q8—144no—
979C22⋊Q8—144no—
980#121—144no—
981#121—144no—
982#121—144no—
983#121—144no—
984#121—144no—
985#121—282no—
986#120—24no—
987#120—144no—
988#120—144no—
989C4×D4—24no—
990C4×D4—78no—
991C4×D4—144no—
992C4×D4—144no—
993C4×D4—144no—
994C4×D4—282no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—71no—
1021C2×C4⋊C4—71no—
1022C2×C4⋊C4—144no—
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
1025C2×C4⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4—24no—
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—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—144no—
1064C2×C22⋊C4—282no—
1065C2×C22⋊C4C22×D711yescharacteristic
1066C2×C22⋊C4C22×D711yescharacteristic
1067C2×C22⋊C4C22×D711yescharacteristic
1068C2×C22⋊C4C22×D711yescharacteristic
1069C2×C22⋊C4C22×D711yescharacteristic
1070C2×C22⋊C4C22×D711yescharacteristic
1071C2×C22⋊C4C22×D711yescharacteristic
1072C2×C22⋊C4C22×D711yescharacteristic
1073C2×C22⋊C4C22×D711yescharacteristic
1074C2×C22⋊C4C22×D711yescharacteristic
1075C2×C22⋊C4C22×D711yescharacteristic
1076C2×C22⋊C4C22×D711yescharacteristic
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C42—71no—
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—71no—
1090C2×C42—71no—
1091C2×C42—71no—
1092C2×C42—71no—
1093C2×C42—282no—
1094C2×C42—282no—
1095C2×C42C22×D711yescharacteristic
1096C2×C42C22×D711yescharacteristic
1097C2×C42C22×D711yescharacteristic
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95—71no—
1123#95—71no—
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130C22×C7—22no—
1131C22×C7—22no—
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—22no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7—41no—
1147C22×C7—41no—
1148C22×C7—41no—
1149C22×C7—41no—
1150C22×C7—41no—
1151C22×C7—41no—
1152C22×C7—41no—
1153C22×C7—41no—
1154C22×C7—41no—
1155C22×C7—41no—
1156C22×C7—41no—
1157C22×C7—88no—
1158C22×C7#53214yes—
1159C22×C7C23×D411yescharacteristic
1160C22×C7C22×#4111yescharacteristic
1161C22×C7C22×#4111yescharacteristic
1162C22×C7C2×H(5,𝔽2)11yescharacteristic
1163C22×C7#58511yescharacteristic
1164C22×C7#58511yescharacteristic
1165C22×C7#58511yescharacteristic
1166C2×D7—22no—
1167C2×D7—22no—
1168C2×D7—22no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C4×C7—22no—
1181C4×C7—22no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—41no—
1185C4×C7—41no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191Dic7—22no—
1192Dic7—22no—
1193Dic7—22no—
1194Dic7—22no—
1195Dic7—22no—
1196Dic7—22no—
1197Dic7—41no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205C24—22no—
1206C24—22no—
1207C24—22no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—71no—
1213C24—71no—
1214C24C23×D711yescharacteristic
1215C24C23×D711yescharacteristic
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C2×Q8—142no—
1219C2×Q8—142no—
1220C2×Q8—281no—
1221C2×Q8—281no—
1222C2×Q8—281no—
1223C2×Q8—281no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—74no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—142no—
1243C2×D4—142no—
1244C2×D4—142no—
1245C2×D4—142no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—71no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—74no—
1275C22×C4—74no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—71no—
1283C22×C4—71no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—142no—
1293C22×C4—142no—
1294C22×C4—281no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4D4×D714yes—
1307C22×C4C23×D711yescharacteristic
1308C22×C4C23×D711yescharacteristic
1309C22×C4C23×D711yescharacteristic
1310C22×C4C23×D711yescharacteristic
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—74no—
1322C4⋊C4—142no—
1323C4⋊C4—142no—
1324C4⋊C4—142no—
1325C4⋊C4—142no—
1326C4⋊C4—142no—
1327C4⋊C4—142no—
1328C4⋊C4—142no—
1329C4⋊C4—142no—
1330C4⋊C4—142no—
1331C4⋊C4—142no—
1332C4⋊C4—142no—
1333C4⋊C4—142no—
1334C4⋊C4—142no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—142no—
1343C4⋊C4—142no—
1344C4⋊C4—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C4⋊C4—281no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—74no—
1364C22⋊C4—74no—
1365C22⋊C4—142no—
1366C22⋊C4—142no—
1367C22⋊C4—142no—
1368C22⋊C4—142no—
1369C22⋊C4—142no—
1370C22⋊C4—142no—
1371C22⋊C4—142no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—142no—
1387C22⋊C4—142no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
1390C22⋊C4—142no—
1391C22⋊C4—142no—
1392C22⋊C4—142no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4#115714yes—
1400C42—22no—
1401C42—41no—
1402C42—41no—
1403C42—74no—
1404C42—142no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—142no—
1409C42—142no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—24no—
1416C2×C7—81no—
1417C2×C7—81no—
1418C2×C7—81no—
1419C2×C7C2×#53211yescharacteristic
1420C2×C7#345511yescharacteristic
1421C2×C7#345911yescharacteristic
1422C2×C7#349611yescharacteristic
1423C2×C7#350011yescharacteristic
1424C2×C7#351311yescharacteristic
1425C2×C7#352111yescharacteristic
1426D7—42no—
1427D7—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—72no—
1457C23—82no—
1458C23—82no—
1459C23—82no—
1460C23—82no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—141no—
1473C23—141no—
1474C23C2×#115712yes—
1475C23C2×D4×D712yes—
1476C23D7×#4112yes—
1477C23C24×D711yescharacteristic
1478Q8—562no—
1479Q8—562no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—148no—
1484D4—284no—
1485D4—284no—
1486D4—562no—
1487D4—562no—
1488D4—562no—
1489D4—562no—
1490D4—562no—
1491D4—562no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—44no—
1522C2×C4—72no—
1523C2×C4—72no—
1524C2×C4—72no—
1525C2×C4—72no—
1526C2×C4—72no—
1527C2×C4—72no—
1528C2×C4—82no—
1529C2×C4—82no—
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—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—284no—
1567C2×C4—284no—
1568C2×C4—284no—
1569C2×C4—284no—
1570C2×C4—284no—
1571C2×C4—284no—
1572C2×C4—562no—
1573C2×C4—562no—
1574C2×C4C2×#115712yes—
1575C2×C4C2×#115712yes—
1576C2×C4C2×D4×D712yes—
1577C2×C4C2×D4×D712yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—88no—
1607C22—142no—
1608C22—142no—
1609C22—142no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22#9023914yes—
1622C22C22×#115711yescharacteristic
1623C22C22×D4×D711yescharacteristic
1624C22C2×D7×#4111yescharacteristic
1625C22D7×H(5,𝔽2)11yescharacteristic
1626C22#9061811yescharacteristic
1627C22#9061811yescharacteristic
1628C22#9061811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—142no—
1641C4—142no—
1642C4—142no—
1643C4—142no—
1644C4—142no—
1645C4—142no—
1646C4—281no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—24no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—282no—
1659C2—561no—
1660C2C2×#9023911yescharacteristic
1661C2#1174293311yescharacteristic
1662C2#1174293811yescharacteristic
1663C2#1174336611yescharacteristic
1664C2#1174338511yescharacteristic
1665C2#1174345511yescharacteristic
1666C2#1174345611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2321C2
hypercenter#2321D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. C2×#90255C2semidirect
2. C2×#90185C2semidirect
3. C7×#2321C2semidirect
4. #11740036C2semidirect
5. #11740031C2semidirect
6. C4×#6502C2semidirect
7. C2×#89717C2semidirect
8. #11733920C2semidirect
9. #11733905C2semidirect
10. #11733870C2semidirect
11. #11733822C2semidirect
12. #11733402C2semidirect
13. #11733356C2semidirect
14. #11733333C2semidirect
15. #11733331C2semidirect
16. #11733266C2semidirect
17. #11733109C2semidirect
18. #11733011C2semidirect
19. #11733010C2semidirect
20. #11732207C2semidirect
21. #11732202C2semidirect
22. #11732197C2semidirect
23. #11732185C2semidirect
24. #11732165C2semidirect
25. #11732163C2semidirect
26. #11731917C2semidirect
27. #11731855C2semidirect
28. #11731279C2semidirect
29. #11731274C2semidirect
30. #11730891C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
44. C2×#6492C22semidirect
47. C2×C4×C22⋊D7C22semidirect
49. C2×#6487C22semidirect
53. C2×#6459C22semidirect
54. C2×#6452C22semidirect
65. C2×#6446C22semidirect
70. C2×#6442C22semidirect
72. C2×#6439C22semidirect
73. C2×C42×D7C22semidirect
74. C2×#6433C22semidirect
95. C4×C22⋊Dic7C22semidirect
98. #89766C22semidirect
99. #89763C22semidirect
100. #89762C22semidirect
101. #89759C22semidirect
102. #89757C22semidirect
103. #89757C22semidirect
104. #89756C22semidirect
105. #89751C22semidirect
106. #89745C22semidirect
107. #89744C22semidirect
110. #89732C22semidirect
114. #89731C22semidirect
120. #89729C22semidirect
124. #89728C22semidirect
126. #89724C22semidirect
130. #89723C22semidirect
131. #89723C22semidirect
139. #89719C22semidirect
148. #89717C22semidirect
151. #89716C22semidirect
156. #89712C22semidirect
157. #89712C22semidirect
158. C4×(C2×D7)⋊C4C22semidirect
159. C4×(C2×D7)⋊C4C22semidirect
160. C4×Dic7⋊C4C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. C42×Dic7C22semidirect
163. #89700C22semidirect
164. #89700C22semidirect
165. #89447C22semidirect
166. #89446C22semidirect
167. #89442C22semidirect
168. #89441C22semidirect
169. #89440C22semidirect
170. #89440C22semidirect
171. #89438C22semidirect
172. #89438C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89433C22semidirect
176. #89432C22semidirect
177. #89430C22semidirect
178. #89429C22semidirect
179. #89429C22semidirect
180. #89428C22semidirect
181. #89425C22semidirect
182. #89425C22semidirect
183. #89422C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
273. C4×C22⋊D7D4semidirect
413. #2321D7semidirect
1578. C7#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#902552
C2×#901852
C7×#23212
#117400362
#117400312
C4×#65022
C2×#897172
#117339202
#117339052
#117338702
#117338222
#117334022
#117333562
#117333332
#117333312
#117332662
#117331092
#117330112
#117330102
#117322072
#117322022
#117321972
#117321852
#117321652
#117321632
#117319172
#117318552
#117312792
#117312742
#117308912
C4×(C22⋊D7)⋊C42
#350097