Finite Group Databasebeta

← #13526598

Subgroups — #13526598

Order 1792.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#386C211yesmaximal, characteristic, complemented
2#11741493C211yesmaximal, characteristic
3#11741492C211yesmaximal, characteristic, complemented
4C4×#6516C211yesmaximal, characteristic, complemented
5C2×C4×C22⋊Dic7C211yesmaximal, characteristic, complemented
6#11739557C211yesmaximal, characteristic, complemented
7#11739556C211yesmaximal, characteristic, complemented
8#11739555C211yesmaximal, characteristic, complemented
9#11739553C211yesmaximal, characteristic, complemented
10#11739541C211yesmaximal, characteristic, complemented
11#11739538C211yesmaximal, characteristic, complemented
12#11732354C211yesmaximal, characteristic, complemented
13#11732317C211yesmaximal, characteristic, complemented
14#11732316C211yesmaximal, characteristic, complemented
15#11732315C211yesmaximal, characteristic, complemented
16#11732314C211yesmaximal, characteristic, complemented
17#11732234C211yesmaximal, characteristic, complemented
18#11732233C211yesmaximal, characteristic, complemented
19#11732232C211yesmaximal, characteristic, complemented
20#11732192C211yesmaximal, characteristic, complemented
21#11732192C211yesmaximal, characteristic, complemented
22#11732189C211yesmaximal, characteristic, complemented
23#11732184C211yesmaximal, characteristic, complemented
24#11732166C211yesmaximal, characteristic, complemented
25#11732161C211yesmaximal, characteristic, complemented
26#11732150C211yesmaximal, characteristic, complemented
27#11732141C211yesmaximal, characteristic, complemented
28#11730812C211yesmaximal, characteristic, complemented
29#11730801C211yesmaximal, characteristic, complemented
30#11730800C211yesmaximal, characteristic, complemented
31#11730779C211yesmaximal, characteristic, complemented
32C23×C7×D4C2211yescharacteristic
33C24×C4×C7C2211yescharacteristic
34C22×C7×C22⋊C4C2211yescharacteristic
35C22×C7×C22⋊C4C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C2×#6516C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C22×C22⋊Dic7C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×#6498C2211yescharacteristic
44C2×#6498C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic, complemented
47C2×C4×C22⋊D7C2211yescharacteristic, complemented
48C2×#6487C2211yescharacteristic
49C22×C4×Dic7C2211yescharacteristic, complemented
50C22×C4×Dic7C2211yescharacteristic, complemented
51C2×#6449C2211yescharacteristic, complemented
52C2×#6448C2211yescharacteristic, complemented
53C2×#6442C2211yescharacteristic, complemented
54C2×#6441C2211yescharacteristic, complemented
55C7×#386C2211yescharacteristic
56C7×#386C2211yescharacteristic
57C7×#386C2211yescharacteristic
58C7×#386C2211yescharacteristic
59C7×#386C2211yescharacteristic
60C7×#386C2211yescharacteristic
61C7×#386C2211yescharacteristic
62C7×#386C2211yescharacteristic
63C2×C7×#95C2211yescharacteristic
64C2×C7×#95C2211yescharacteristic
65#90019C2211yescharacteristic
66#90019C2211yescharacteristic
67#90019C2211yescharacteristic
68#90019C2211yescharacteristic
69#89995C2211yescharacteristic
70#89995C2211yescharacteristic
71#89994C2211yescharacteristic
72#89994C2211yescharacteristic
73#89994C2211yescharacteristic
74#89994C2211yescharacteristic
75#89994C2211yescharacteristic
76#89994C2211yescharacteristic
77#89992C2211yescharacteristic
78#89992C2211yescharacteristic
79#89992C2211yescharacteristic
80#89992C2211yescharacteristic
81#89985C2211yescharacteristic
82#89985C2211yescharacteristic
83#89985C2211yescharacteristic
84#89985C2211yescharacteristic
85#89985C2211yescharacteristic, complemented
86#89985C2211yescharacteristic, complemented
87#89984C2211yescharacteristic
88#89984C2211yescharacteristic
89#89984C2211yescharacteristic
90#89982C2211yescharacteristic
91#89982C2211yescharacteristic
92#89982C2211yescharacteristic
93#89982C2211yescharacteristic
94#89982C2211yescharacteristic
95#89982C2211yescharacteristic
96#89982C2211yescharacteristic, complemented
97#89982C2211yescharacteristic, complemented
98C4×C22⋊Dic7C2211yescharacteristic
99C4×C22⋊Dic7C2211yescharacteristic
100C4×C22⋊Dic7C2211yescharacteristic
101C4×C22⋊Dic7C2211yescharacteristic
102C4×C22⋊Dic7C2211yescharacteristic
103C4×C22⋊Dic7C2211yescharacteristic, complemented
104C4×C22⋊Dic7C2211yescharacteristic, complemented
105C4×C22⋊Dic7C2211yescharacteristic, complemented
106C4×C22⋊Dic7C2211yescharacteristic, complemented
107C4×C22⋊Dic7C2211yescharacteristic, complemented
108C4×C22⋊Dic7C2211yescharacteristic, complemented
109C2×C7⋊#95C2211yescharacteristic, complemented
110C2×C7⋊#95C2211yescharacteristic, complemented
111#89733C2211yescharacteristic, complemented
112#89733C2211yescharacteristic, complemented
113#89733C2211yescharacteristic, complemented
114#89731C2211yescharacteristic, complemented
115#89730C2211yescharacteristic, complemented
116#89729C2211yescharacteristic, complemented
117#89729C2211yescharacteristic, complemented
118#89729C2211yescharacteristic, complemented
119#89728C2211yescharacteristic, complemented
120#89728C2211yescharacteristic, complemented
121#89725C2211yescharacteristic, complemented
122#89725C2211yescharacteristic, complemented
123#89725C2211yescharacteristic, complemented
124#89724C2211yescharacteristic, complemented
125#89724C2211yescharacteristic, complemented
126#89724C2211yescharacteristic, complemented
127#89723C2211yescharacteristic, complemented
128#89723C2211yescharacteristic, complemented
129#89723C2211yescharacteristic, complemented
130#89723C2211yescharacteristic, complemented
131#89723C2211yescharacteristic, complemented
132#89723C2211yescharacteristic, complemented
133#89723C2211yescharacteristic, complemented
134#89723C2211yescharacteristic, complemented
135#89723C2211yescharacteristic, complemented
136#89723C2211yescharacteristic, complemented
137#89722C2211yescharacteristic, complemented
138#89722C2211yescharacteristic, complemented
139#89721C2211yescharacteristic, complemented
140#89720C2211yescharacteristic, complemented
141#89720C2211yescharacteristic, complemented
142#89720C2211yescharacteristic, complemented
143#89719C2211yescharacteristic, complemented
144#89719C2211yescharacteristic, complemented
145#89718C2211yescharacteristic, complemented
146#89717C2211yescharacteristic, complemented
147#89717C2211yescharacteristic, complemented
148#89717C2211yescharacteristic, complemented
149#89716C2211yescharacteristic, complemented
150#89716C2211yescharacteristic, complemented
151#89716C2211yescharacteristic, complemented
152#89716C2211yescharacteristic, complemented
153#89715C2211yescharacteristic, complemented
154#89714C2211yescharacteristic, complemented
155#89447C2211yescharacteristic, complemented
156#89446C2211yescharacteristic, complemented
157#89442C2211yescharacteristic, complemented
158#89441C2211yescharacteristic, complemented
159#89441C2211yescharacteristic, complemented
160#89441C2211yescharacteristic, complemented
161#89439C2211yescharacteristic, complemented
162#89436C2211yescharacteristic, complemented
163C7⋊#401C2211yescharacteristic, complemented
164#89432C2211yescharacteristic, complemented
165#89431C2211yescharacteristic, complemented
166#89430C2211yescharacteristic, complemented
167#89430C2211yescharacteristic, complemented
168#89429C2211yescharacteristic, complemented
169#89427C2211yescharacteristic, complemented
170#89427C2211yescharacteristic, complemented
171#89426C2211yescharacteristic, complemented
172#89426C2211yescharacteristic, complemented
173#89426C2211yescharacteristic, complemented
174#89425C2211yescharacteristic, complemented
175#89424C2211yescharacteristic, complemented
176#89424C2211yescharacteristic, complemented
177#89424C2211yescharacteristic, complemented
178#89423C2211yescharacteristic, complemented
179#89423C2211yescharacteristic, complemented
180#89422C2211yescharacteristic, complemented
181#89422C2211yescharacteristic, complemented
182#89419C2211yescharacteristic, complemented
183#89419C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#34998—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C25×C7C2311yescharacteristic
190C22×C7×D4—24no—
191C22×C7×D4—42no—
192C22×C7×D4—42no—
193C22×C7×D4C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7—24no—
198C23×C4×C7—42no—
199C23×C4×C7—42no—
200C23×C4×C7C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
202C23×C4×C7C2311yescharacteristic
203C23×C4×C7C2311yescharacteristic
204C23×C4×C7C2311yescharacteristic
205C23×C4×C7C2311yescharacteristic
206C23×C4×C7C2311yescharacteristic
207C23×C4×C7C2311yescharacteristic
208C23×C4×C7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C22×C22⋊D7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×Dic14C2311yescharacteristic
220C2×C7×C22⋊C4—24no—
221C2×C7×C22⋊C4—42no—
222C2×C7×C22⋊C4—42no—
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
235#6516—24no—
236#6516—24no—
237C2×C22⋊Dic7—24no—
238C2×C22⋊Dic7—24no—
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
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
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270#6502—42no—
271#6502—42no—
272#6498—42no—
273#6498—42no—
274C4×C22⋊D7—24no—
275C4×C22⋊D7—42no—
276C4×C22⋊D7—42no—
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×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293#6487—24no—
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7—42no—
310C2×C4×Dic7—42no—
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322#6449—42no—
323#6448—42no—
324#6442—42no—
325#6441—42no—
326C7×#95C2311yescharacteristic
327C7×#95C2311yescharacteristic
328C7×#95C2311yescharacteristic
329C7×#95C2311yescharacteristic
330C7×#95C2311yescharacteristic
331C7×#95C2311yescharacteristic
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
334C7⋊#95C2311yescharacteristic
335C7⋊#95C2311yescharacteristic
336C7⋊#95C2311yescharacteristic
337C7⋊#95C2311yescharacteristic
338C7⋊#95C2311yescharacteristic
339C7⋊#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
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
370#2854—71no—
371#2853—71no—
372#2852—71no—
373#2850—71no—
374#2653—71no—
375#2649—71no—
376#2648—71no—
377#2648—71no—
378#2518—71no—
379#2518—71no—
380#2510—71no—
381#2510—71no—
382#2505—71no—
383#2488—71no—
384#2480—71no—
385#2472—71no—
386#2467—71no—
387#2459—71no—
388#2444—71no—
389#2437—71no—
390#2425—71no—
391#2412—71no—
392#2410—71no—
393#2405—71no—
394#2329—71no—
395#2321—71no—
396#2318—71no—
397#2312—71no—
398C4×#120—71no—
399C2×#386D711yescharacteristic, complemented
400C2×C4×C22⋊C4—71no—
401C24×C7—22no—
402C24×C7—22no—
403C24×C7—22no—
404C24×C7—22no—
405C24×C7—22no—
406C24×C7—22no—
407C24×C7—22no—
408C24×C7—41no—
409C24×C7—41no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7#4114yes—
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C24×C7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C2×C7×D4—22no—
425C2×C7×D4—22no—
426C2×C7×D4—22no—
427C2×C7×D4—22no—
428C2×C7×D4—22no—
429C2×C7×D4—41no—
430C2×C7×D4—41no—
431C2×C7×D4—41no—
432C2×C7×D4—41no—
433C2×C7×D4—416no—
434C22×C4×C7—22no—
435C22×C4×C7—22no—
436C22×C4×C7—22no—
437C22×C4×C7—22no—
438C22×C4×C7—22no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—22no—
442C22×C4×C7—22no—
443C22×C4×C7—22no—
444C22×C4×C7—22no—
445C22×C4×C7—22no—
446C22×C4×C7—22no—
447C22×C4×C7—41no—
448C22×C4×C7—41no—
449C22×C4×C7—41no—
450C22×C4×C7—41no—
451C22×C4×C7—41no—
452C22×C4×C7—41no—
453C22×C4×C7—41no—
454C22×C4×C7—41no—
455C22×C4×C7—41no—
456C22×C4×C7—41no—
457C22×C4×C7—41no—
458C22×C4×C7—41no—
459C22×C4×C7—41no—
460C22×C4×C7—416no—
461C22×C4×C7#4114yes—
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
479C2×C22⋊D7—22no—
480C2×C22⋊D7—22no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C2×C22⋊D7—41no—
484C2×C22⋊D7—41no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7—41no—
487C22×Dic7—22no—
488C22×Dic7—22no—
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—22no—
492C22×Dic7—22no—
493C22×Dic7—22no—
494C22×Dic7—22no—
495C22×Dic7—41no—
496C22×Dic7—41no—
497C22×Dic7—41no—
498C22×Dic7—41no—
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C2×C4×D7—22no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×Dic14—22no—
518C2×Dic14—41no—
519C2×Dic14—41no—
520C7×C22⋊C4—22no—
521C7×C22⋊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—
532C22⋊Dic7—22no—
533C22⋊Dic7—22no—
534C22⋊Dic7—22no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550C22⋊Dic7—41no—
551C22⋊Dic7—41no—
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#4114yes—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—41no—
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—
572C4⋊Dic7—22no—
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575C4⋊Dic7—41no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C23×D4C2×D711yescharacteristic
606C24×C4C2×D711yescharacteristic
607C2×#126—71no—
608C2×#124—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#123—71no—
612C2×C22⋊Q8—71no—
613C2×C22⋊Q8—71no—
614C2×#121—71no—
615C2×#121—71no—
616C2×#120—71no—
617C2×#120—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C22×C22⋊C4—71no—
622C22×C22⋊C4—71no—
623C22×C22⋊C4C2×D711yescharacteristic
624C22×C22⋊C4C2×D711yescharacteristic
625C22×C22⋊C4C2×D711yescharacteristic
626C22×C42—71no—
627C22×C42—71no—
628#401—71no—
629#400—71no—
630#400—71no—
631#400—71no—
632#400—71no—
633#399—71no—
634#398—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#397—71no—
640#397—71no—
641#397—71no—
642#397—71no—
643#396—71no—
644#396—71no—
645#396—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#394—71no—
653#394—71no—
654#394—71no—
655#394—71no—
656#393—71no—
657#393—71no—
658#392—71no—
659#392—71no—
660#391—71no—
661#391—71no—
662#390—71no—
663#390—71no—
664#390—71no—
665#389—71no—
666#389—71no—
667#389—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388—71no—
676#388—71no—
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#387—71no—
690#387—71no—
691#387—71no—
692#387—71no—
693#387—71no—
694#387—71no—
695#387—71no—
696#387—71no—
697#387—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386—71no—
706#386—71no—
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386C2×D711yescharacteristic
712#386C2×D711yescharacteristic
713#386C2×D711yescharacteristic
714#386C2×D711yescharacteristic
715#386C2×D711yescharacteristic
716#386C2×D711yescharacteristic
717#386C2×D711yescharacteristic
718#386C2×D711yescharacteristic
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#383—71no—
731#383—71no—
732#382—71no—
733#382—71no—
734#381—71no—
735#381—71no—
736#380—71no—
737#380—71no—
738#380—71no—
739#380—71no—
740#380—71no—
741#379—71no—
742#379—71no—
743#379—71no—
744#379—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C2×#95—71no—
757C2×#95—71no—
758C2×#95C2×D711yescharacteristic
759C2×#95C2×D711yescharacteristic
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—28no—
769C23×C7—28no—
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—44no—
791C23×C7—44no—
792C23×C7—44no—
793C23×C7—44no—
794C23×C7—44no—
795C23×C7—44no—
796C23×C7—44no—
797C23×C7—44no—
798C23×C7—82no—
799C23×C7—82no—
800C23×C7—82no—
801C23×C7—82no—
802C23×C7C2×#4112yes—
803C23×C7C2×#4112yes—
804C23×C7C2×#4112yes—
805C23×C7C2×#4112yes—
806C23×C7C2×#4112yes—
807C23×C7H(5,𝔽2)12yes—
808C23×C7H(5,𝔽2)12yes—
809C23×C7C2511yescharacteristic
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C7×D4—44no—
818C7×D4—44no—
819C7×D4—44no—
820C7×D4—44no—
821C2×C4×C7—28no—
822C2×C4×C7—21no—
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—44no—
850C2×C4×C7—44no—
851C2×C4×C7—44no—
852C2×C4×C7—44no—
853C2×C4×C7—44no—
854C2×C4×C7—44no—
855C2×C4×C7—82no—
856C2×C4×C7—82no—
857C2×C4×C7C2×#4112yes—
858C2×C4×C7C2×#4112yes—
859C2×C4×C7H(5,𝔽2)12yes—
860C22⋊D7—44no—
861C22⋊D7—44no—
862C22⋊D7—44no—
863C22⋊D7—82no—
864C22⋊D7—82no—
865C2×Dic7—21no—
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—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—44no—
909C2×Dic7—44no—
910C2×Dic7—44no—
911C2×Dic7—44no—
912C2×Dic7C2×#4112yes—
913C2×Dic7C2×#4112yes—
914C4×D7—82no—
915Dic14—82no—
916C25C22×D711yescharacteristic
917C25C22×D711yescharacteristic
918C22×Q8—71no—
919C22×D4—24no—
920C22×D4—42no—
921C22×D4—42no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C22×D4C22×D711yescharacteristic
928C22×D4C22×D711yescharacteristic
929C22×D4C22×D711yescharacteristic
930C22×D4C22×D711yescharacteristic
931C23×C4—24no—
932C23×C4—42no—
933C23×C4—42no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944C23×C4C22×D711yescharacteristic
945C23×C4C22×D711yescharacteristic
946C23×C4C22×D711yescharacteristic
947C23×C4C22×D711yescharacteristic
948#126—282no—
949#124—282no—
950#123—282no—
951#123—282no—
952#123—282no—
953C22⋊Q8—144no—
954C22⋊Q8—282no—
955#121—282no—
956#121—282no—
957#120—144no—
958#120—144no—
959C4×D4—144no—
960C4×D4—282no—
961C4×D4—282no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
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×C22⋊C4—24no—
985C2×C22⋊C4—42no—
986C2×C22⋊C4—42no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
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—144no—
1028C2×C22⋊C4—144no—
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—282no—
1053C2×C42—282no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
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#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—22no—
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—22no—
1112C22×C7—22no—
1113C22×C7—416no—
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—88no—
1133C22×C7#52914yes—
1134C22×C7#53814yes—
1135C22×C7C22×#4111yescharacteristic
1136C22×C7C22×#4111yescharacteristic
1137C22×C7C22×#4111yescharacteristic
1138C22×C7C2×H(5,𝔽2)11yescharacteristic
1139C22×C7C2×H(5,𝔽2)11yescharacteristic
1140C22×C7C2×H(5,𝔽2)11yescharacteristic
1141C22×C7#58511yescharacteristic
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C4×C7—22no—
1150C4×C7—22no—
1151C4×C7—22no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157C4×C7—41no—
1158C4×C7—41no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170Dic7—41no—
1171Dic7—41no—
1172Dic7—41no—
1173Dic7—41no—
1174C24—22no—
1175C24—22no—
1176C24—22no—
1177C24—22no—
1178C24—22no—
1179C24—22no—
1180C24—22no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—71no—
1188C24#115714yes—
1189C24C23×D711yescharacteristic
1190C24C23×D711yescharacteristic
1191C24C23×D711yescharacteristic
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C2×Q8—142no—
1195C2×Q8—281no—
1196C2×Q8—281no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—416no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—142no—
1216C2×D4—142no—
1217C2×D4—142no—
1218C2×D4—142no—
1219C2×D4—281no—
1220C2×D4—281no—
1221C2×D4—281no—
1222C2×D4—281no—
1223C2×D4—281no—
1224C2×D4—281no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—416no—
1252C22×C4—71no—
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—71no—
1265C22×C4—71no—
1266C22×C4—71no—
1267C22×C4—142no—
1268C22×C4—142no—
1269C22×C4—142no—
1270C22×C4—142no—
1271C22×C4—142no—
1272C22×C4—142no—
1273C22×C4—142no—
1274C22×C4—142no—
1275C22×C4—142no—
1276C22×C4—281no—
1277C22×C4—281no—
1278C22×C4—281no—
1279C22×C4—281no—
1280C22×C4—281no—
1281C22×C4—281no—
1282C22×C4#115914yes—
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C22×C4C23×D711yescharacteristic
1289C22×C4C23×D711yescharacteristic
1290C22×C4C23×D711yescharacteristic
1291C22×C4C23×D711yescharacteristic
1292C22×C4C23×D711yescharacteristic
1293C4⋊C4—142no—
1294C4⋊C4—142no—
1295C4⋊C4—142no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C4⋊C4—281no—
1308C4⋊C4—281no—
1309C4⋊C4—281no—
1310C4⋊C4—281no—
1311C4⋊C4—281no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—74no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
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—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
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—
1367C42—142no—
1368C42—142no—
1369C42—142no—
1370C42—281no—
1371C42—281no—
1372C42—281no—
1373C42—281no—
1374C42—281no—
1375C42—281no—
1376C42—281no—
1377C42—281no—
1378C2×C7—24no—
1379C2×C7—24no—
1380C2×C7—42no—
1381C2×C7—81no—
1382C2×C7—81no—
1383C2×C7C2×#52911yescharacteristic
1384C2×C7C2×#53811yescharacteristic
1385C2×C7#345911yescharacteristic
1386C2×C7#349011yescharacteristic
1387C2×C7#349411yescharacteristic
1388C2×C7#351311yescharacteristic
1389C2×C7#351911yescharacteristic
1390D7—81no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—28no—
1400C23—28no—
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—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—141no—
1434C23—141no—
1435C23—141no—
1436C23—141no—
1437C23—141no—
1438C23—141no—
1439C23—141no—
1440C23C2×#115712yes—
1441C23C2×#115712yes—
1442C23C2×#115712yes—
1443C23C2×#115912yes—
1444C23#654812yes—
1445C23#654812yes—
1446C23D7×#4112yes—
1447C23C24×D711yescharacteristic
1448Q8—562no—
1449D4—44no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—284no—
1454D4—284no—
1455D4—284no—
1456D4—562no—
1457D4—562no—
1458C2×C4—28no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
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—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—72no—
1493C2×C4—72no—
1494C2×C4—82no—
1495C2×C4—82no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
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—141no—
1539C2×C4—284no—
1540C2×C4—284no—
1541C2×C4—284no—
1542C2×C4—284no—
1543C2×C4—562no—
1544C2×C4C2×#115912yes—
1545C2×C4C2×#115912yes—
1546C2×C4#654812yes—
1547C7#3499811yescharacteristic, complemented, Sylow
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—416no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—88no—
1583C22—281no—
1584C22—281no—
1585C22—281no—
1586C22—281no—
1587C22—281no—
1588C22—281no—
1589C22—281no—
1590C22#9018514yes—
1591C22#9022914yes—
1592C22C22×#115711yescharacteristic
1593C22C22×#115911yescharacteristic
1594C22C2×#654811yescharacteristic
1595C22C2×#654811yescharacteristic
1596C22C2×#654811yescharacteristic
1597C22C2×D7×#4111yescharacteristic
1598C22#9061611yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
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—
1622C4—281no—
1623C4—281no—
1624C2—24no—
1625C2—24no—
1626C2—42no—
1627C2—81no—
1628C2—81no—
1629C2—561no—
1630C2C2×#9018511yescharacteristic
1631C2C2×#9022911yescharacteristic
1632C2#1174284411yescharacteristic
1633C2#1174298111yescharacteristic
1634C2#1174300411yescharacteristic
1635C2#1174301911yescharacteristic
1636C2#1174308111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC2×C7×#386C2
prime radical#11741493C2
hypercenterC2×#386D7
hypocenterC7#34998
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C2×C7×#386C2semidirect
3. #11741492C2semidirect
4. C4×#6516C2semidirect
5. C2×C4×C22⋊Dic7C2semidirect
6. #11739557C2semidirect
7. #11739556C2semidirect
8. #11739555C2semidirect
9. #11739553C2semidirect
10. #11739541C2semidirect
11. #11739538C2semidirect
12. #11732354C2semidirect
13. #11732317C2semidirect
14. #11732316C2semidirect
15. #11732315C2semidirect
16. #11732314C2semidirect
17. #11732234C2semidirect
18. #11732233C2semidirect
19. #11732232C2semidirect
20. #11732192C2semidirect
21. #11732192C2semidirect
22. #11732189C2semidirect
23. #11732184C2semidirect
24. #11732166C2semidirect
25. #11732161C2semidirect
26. #11732150C2semidirect
27. #11732141C2semidirect
28. #11730812C2semidirect
29. #11730801C2semidirect
30. #11730800C2semidirect
31. #11730779C2semidirect
46. C2×C4×C22⋊D7C22semidirect
47. C2×C4×C22⋊D7C22semidirect
49. C22×C4×Dic7C22semidirect
50. C22×C4×Dic7C22semidirect
51. C2×#6449C22semidirect
52. C2×#6448C22semidirect
53. C2×#6442C22semidirect
54. C2×#6441C22semidirect
85. #89985C22semidirect
86. #89985C22semidirect
96. #89982C22semidirect
97. #89982C22semidirect
103. C4×C22⋊Dic7C22semidirect
104. C4×C22⋊Dic7C22semidirect
105. C4×C22⋊Dic7C22semidirect
106. C4×C22⋊Dic7C22semidirect
107. C4×C22⋊Dic7C22semidirect
108. C4×C22⋊Dic7C22semidirect
109. C2×C7⋊#95C22semidirect
110. C2×C7⋊#95C22semidirect
111. #89733C22semidirect
112. #89733C22semidirect
113. #89733C22semidirect
114. #89731C22semidirect
115. #89730C22semidirect
116. #89729C22semidirect
117. #89729C22semidirect
118. #89729C22semidirect
119. #89728C22semidirect
120. #89728C22semidirect
121. #89725C22semidirect
122. #89725C22semidirect
123. #89725C22semidirect
124. #89724C22semidirect
125. #89724C22semidirect
126. #89724C22semidirect
127. #89723C22semidirect
128. #89723C22semidirect
129. #89723C22semidirect
130. #89723C22semidirect
131. #89723C22semidirect
132. #89723C22semidirect
133. #89723C22semidirect
134. #89723C22semidirect
135. #89723C22semidirect
136. #89723C22semidirect
137. #89722C22semidirect
138. #89722C22semidirect
139. #89721C22semidirect
140. #89720C22semidirect
141. #89720C22semidirect
142. #89720C22semidirect
143. #89719C22semidirect
144. #89719C22semidirect
145. #89718C22semidirect
146. #89717C22semidirect
147. #89717C22semidirect
148. #89717C22semidirect
149. #89716C22semidirect
150. #89716C22semidirect
151. #89716C22semidirect
152. #89716C22semidirect
153. #89715C22semidirect
154. #89714C22semidirect
155. #89447C22semidirect
156. #89446C22semidirect
157. #89442C22semidirect
158. #89441C22semidirect
159. #89441C22semidirect
160. #89441C22semidirect
161. #89439C22semidirect
162. #89436C22semidirect
163. C7⋊#401C22semidirect
164. #89432C22semidirect
165. #89431C22semidirect
166. #89430C22semidirect
167. #89430C22semidirect
168. #89429C22semidirect
169. #89427C22semidirect
170. #89427C22semidirect
171. #89426C22semidirect
172. #89426C22semidirect
173. #89426C22semidirect
174. #89425C22semidirect
175. #89424C22semidirect
176. #89424C22semidirect
177. #89424C22semidirect
178. #89423C22semidirect
179. #89423C22semidirect
180. #89422C22semidirect
181. #89422C22semidirect
182. #89419C22semidirect
183. #89419C22semidirect
184. #89419C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
399. C2×#386D7semidirect
1547. C7#34998semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#3862
#117414932
#117414922
C4×#65162
C2×C4×C22⋊Dic72
#117395572
#117395562
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