Finite Group Databasebeta

← #13522601

Subgroups — #13522601

Order 1792.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×#117C211yesmaximal, characteristic, complemented
2C2×#90219C211yesmaximal, characteristic, complemented
3C4×#6516C211yesmaximal, characteristic, complemented
4C4×#6516C211yesmaximal, characteristic, complemented
5#11739726C211yesmaximal, characteristic, complemented
6#11739725C211yesmaximal, characteristic, complemented
7#11739724C211yesmaximal, characteristic, complemented
8#11739723C211yesmaximal, characteristic, complemented
9#11739719C211yesmaximal, characteristic, complemented
10#11739719C211yesmaximal, characteristic, complemented
11#11739718C211yesmaximal, characteristic, complemented
12#11739713C211yesmaximal, characteristic, complemented
13#11739698C211yesmaximal, characteristic, complemented
14#11739697C211yesmaximal, characteristic, complemented
15#11739696C211yesmaximal, characteristic, complemented
16#11739695C211yesmaximal, characteristic, complemented
17#11739690C211yesmaximal, characteristic, complemented
18#11739674C211yesmaximal, characteristic, complemented
19#11739670C211yesmaximal, characteristic, complemented
20#11739640C211yesmaximal, characteristic, complemented
21#11739620C211yesmaximal, characteristic, complemented
22#11739619C211yesmaximal, characteristic, complemented
23#11739618C211yesmaximal, characteristic, complemented
24#11739573C211yesmaximal, characteristic, complemented
25#11739557C211yesmaximal, characteristic, complemented
26#11739556C211yesmaximal, characteristic, complemented
27#11739554C211yesmaximal, characteristic
28C4×#6487C211yesmaximal, characteristic, complemented
29C4×#6493C211yesmaximal, characteristic, complemented
30#11739510C211yesmaximal, characteristic, complemented
31C42×C22⋊D7C211yesmaximal, characteristic, complemented
32C24×C4×C7C2211yescharacteristic
33C2×C7×#117—28no—
34C2×C7×#117C2211yescharacteristic
35C2×C7×#117C2211yescharacteristic
36C2×C7×#117C2211yescharacteristic
37C2×C7×#117C2211yescharacteristic
38C2×C7×#117C2211yescharacteristic
39C2×C7×#117C2211yescharacteristic
40C2×C7×#117C2211yescharacteristic
41C2×C7×#117C2211yescharacteristic
42C22×C7×C4⋊C4C2211yescharacteristic
43C22×C7×C4⋊C4C2211yescharacteristic
44C22×C7×C22⋊C4C2211yescharacteristic
45C22×C7×C22⋊C4C2211yescharacteristic
46C22×C42×C7C2211yescharacteristic
47C22×C42×C7C2211yescharacteristic
48C2×#6516C2211yescharacteristic
49C2×#6516C2211yescharacteristic
50C2×#6493C2211yescharacteristic
51C2×C4×C22⋊D7C2211yescharacteristic
52C2×C4×C22⋊D7C2211yescharacteristic
53C2×C4×C22⋊D7C2211yescharacteristic
54C2×C4×C22⋊D7C2211yescharacteristic
55C2×C4×C22⋊D7C2211yescharacteristic
56C2×C4×C22⋊D7C2211yescharacteristic
57C2×C4×C22⋊D7C2211yescharacteristic
58C2×C4×C22⋊D7C2211yescharacteristic
59C2×#6487C2211yescharacteristic
60#90219—28no—
61C2×#6461C2211yescharacteristic, complemented
62C2×#6459C2211yescharacteristic, complemented
63C2×#6457C2211yescharacteristic, complemented
64C2×#6452C2211yescharacteristic, complemented
65C2×#6448C2211yescharacteristic
66C2×#6447C2211yescharacteristic
67C2×#6446C2211yescharacteristic
68C2×#6442C2211yescharacteristic
69C2×C4×D28C2211yescharacteristic, complemented
70C2×#6435C2211yescharacteristic, complemented
71C2×C42×D7C2211yescharacteristic, complemented
72C2×C4×Dic14C2211yescharacteristic, complemented
73#90019C2211yescharacteristic
74#90019C2211yescharacteristic
75#89985C2211yescharacteristic
76#89985C2211yescharacteristic
77#89985C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic
80#89985C2211yescharacteristic
81#89985C2211yescharacteristic
82#89985C2211yescharacteristic
83#89985C2211yescharacteristic
84#89985C2211yescharacteristic
85#89984C2211yescharacteristic
86#89984C2211yescharacteristic
87#89982C2211yescharacteristic
88#89982C2211yescharacteristic
89#89982C2211yescharacteristic
90#89982C2211yescharacteristic
91#89982C2211yescharacteristic
92#89982C2211yescharacteristic
93#89982C2211yescharacteristic
94#89982C2211yescharacteristic
95#89982C2211yescharacteristic
96#89982C2211yescharacteristic
97C4×C22⋊Dic7C2211yescharacteristic
98C4×C22⋊Dic7C2211yescharacteristic
99C4×C22⋊Dic7C2211yescharacteristic
100C4×C22⋊Dic7C2211yescharacteristic
101C4×C22⋊Dic7C2211yescharacteristic
102C4×C22⋊Dic7C2211yescharacteristic
103C4×C22⋊Dic7C2211yescharacteristic
104C4×C22⋊Dic7C2211yescharacteristic
105#89766C2211yescharacteristic, complemented
106#89766C2211yescharacteristic, complemented
107#89765C2211yescharacteristic, complemented
108#89765C2211yescharacteristic, complemented
109#89764C2211yescharacteristic, complemented
110#89764C2211yescharacteristic, complemented
111#89763C2211yescharacteristic, complemented
112#89762C2211yescharacteristic, complemented
113#89762C2211yescharacteristic, complemented
114#89761C2211yescharacteristic, complemented
115#89761C2211yescharacteristic, complemented
116#89758C2211yescharacteristic, complemented
117#89756C2211yescharacteristic, complemented
118#89756C2211yescharacteristic, complemented
119#89755C2211yescharacteristic, complemented
120#89754C2211yescharacteristic, complemented
121#89754C2211yescharacteristic, complemented
122#89753C2211yescharacteristic, complemented
123#89753C2211yescharacteristic, complemented
124#89753C2211yescharacteristic, complemented
125#89753C2211yescharacteristic, complemented
126#89752C2211yescharacteristic, complemented
127#89752C2211yescharacteristic, complemented
128#89751C2211yescharacteristic, complemented
129#89750C2211yescharacteristic, complemented
130#89750C2211yescharacteristic, complemented
131#89744C2211yescharacteristic, complemented
132#89744C2211yescharacteristic, complemented
133#89733C2211yescharacteristic
134#89733C2211yescharacteristic
135#89732C2211yescharacteristic
136#89731C2211yescharacteristic
137#89731C2211yescharacteristic
138#89731C2211yescharacteristic
139#89731C2211yescharacteristic
140#89729C2211yescharacteristic
141#89729C2211yescharacteristic
142#89728C2211yescharacteristic
143#89728C2211yescharacteristic
144#89725C2211yescharacteristic
145#89724C2211yescharacteristic
146#89724C2211yescharacteristic
147#89724C2211yescharacteristic
148#89724C2211yescharacteristic
149#89723C2211yescharacteristic
150#89723C2211yescharacteristic
151#89723C2211yescharacteristic
152#89723C2211yescharacteristic
153#89721C2211yescharacteristic
154#89720C2211yescharacteristic
155#89720C2211yescharacteristic
156#89719C2211yescharacteristic
157#89717C2211yescharacteristic
158#89717C2211yescharacteristic
159#89716C2211yescharacteristic
160#89716C2211yescharacteristic
161#89712C2211yescharacteristic, complemented
162#89712C2211yescharacteristic, complemented
163#89712C2211yescharacteristic, complemented
164#89712C2211yescharacteristic, complemented
165#89711C2211yescharacteristic, complemented
166C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
168C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
169C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
172C4×C4⋊Dic7C2211yescharacteristic, complemented
173C4×C4⋊Dic7C2211yescharacteristic, complemented
174#89705C2211yescharacteristic, complemented
175#89705C2211yescharacteristic, complemented
176#89705C2211yescharacteristic, complemented
177#89705C2211yescharacteristic, complemented
178#89704C2211yescharacteristic, complemented
179C4×Dic7⋊C4C2211yescharacteristic, complemented
180C4×Dic7⋊C4C2211yescharacteristic, complemented
181C4×Dic7⋊C4C2211yescharacteristic, complemented
182C4×Dic7⋊C4C2211yescharacteristic, complemented
183C4×Dic7⋊C4C2211yescharacteristic, complemented
184C4×Dic7⋊C4C2211yescharacteristic, complemented
185C42×Dic7C2211yescharacteristic, complemented
186#89701C2211yescharacteristic, complemented
187#89700C2211yescharacteristic, complemented
188#89700C2211yescharacteristic, complemented
189#34740—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C23×C4×C7—24no—
192C23×C4×C7—24no—
193C23×C4×C7—24no—
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
202C23×C4×C7C2311yescharacteristic
203C23×C4×C7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#117—24no—
217C7×#117—24no—
218C7×#117—24no—
219C7×#117—24no—
220C7×#117—24no—
221C7×#117—24no—
222C7×#117—24no—
223C7×#117D418yescomplemented
224C2×C7×C4⋊C4—24no—
225C2×C7×C4⋊C4—24no—
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4—24no—
235C2×C7×C22⋊C4—24no—
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C42×C7—24no—
245C2×C42×C7—24no—
246C2×C42×C7C2311yescharacteristic
247C2×C42×C7C2311yescharacteristic
248C2×C42×C7C2311yescharacteristic
249C2×C42×C7C2311yescharacteristic
250C2×C42×C7C2311yescharacteristic
251C2×C42×C7C2311yescharacteristic
252C2×C42×C7C2311yescharacteristic
253C2×C42×C7C2311yescharacteristic
254#6516—24no—
255#6516—24no—
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274#6493—24no—
275C4×C22⋊D7—24no—
276C4×C22⋊D7—24no—
277C4×C22⋊D7—24no—
278C4×C22⋊D7—24no—
279C4×C22⋊D7—24no—
280C4×C22⋊D7—24no—
281C4×C22⋊D7—24no—
282C4×C22⋊D7—24no—
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307#6487—24no—
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×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338#6461—24no—
339#6459—24no—
340#6457—24no—
341#6452—24no—
342#6448—24no—
343#6447—24no—
344#6446—24no—
345#6442—24no—
346C4×D28—24no—
347#6435—24no—
348C42×D7—24no—
349C4×Dic14—24no—
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
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#529—71no—
387C22×#117D711yescharacteristic, complemented
388#2481—71no—
389#2480—71no—
390#2479—71no—
391#2478—71no—
392#2477—71no—
393#2476—71no—
394#2475—71no—
395#2474—71no—
396#2473—71no—
397#2472—71no—
398#2471—71no—
399#2470—71no—
400#2449—71no—
401#2443—71no—
402#2424—71no—
403#2418—71no—
404#2396—71no—
405#2395—71no—
406#2395—71no—
407#2392—71no—
408C4×C22⋊Q8—71no—
409C4×#121—71no—
410C4×#120—71no—
411C4×#120—71no—
412#2298—71no—
413#2293—71no—
414#2290—71no—
415#2290—71no—
416C42×D4—71no—
417C24×C7—22no—
418C24×C7—22no—
419C24×C7—22no—
420C24×C7—22no—
421C24×C7—22no—
422C24×C7—41no—
423C24×C7—41no—
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C22×C4×C7—232no—
430C22×C4×C7—22no—
431C22×C4×C7—22no—
432C22×C4×C7—22no—
433C22×C4×C7—22no—
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—22no—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—22no—
452C22×C4×C7—22no—
453C22×C4×C7—41no—
454C22×C4×C7—41no—
455C22×C4×C7—41no—
456C22×C4×C7—41no—
457C22×C4×C7C2×D414yes—
458C22×C4×C7#4114yes—
459C22×C4×C7#4114yes—
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
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—22no—
482C2×C22⋊D7—22no—
483C2×C22⋊D7—22no—
484C2×C22⋊D7—22no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7—41no—
487C2×C22⋊D7—41no—
488C2×C22⋊D7—41no—
489C2×C22⋊D7#4114yes—
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C2×D28—22no—
505C2×D28—22no—
506C2×D28—41no—
507C2×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×Dic14—22no—
520C2×Dic14—22no—
521C2×Dic14—41no—
522C7×C4⋊C4—22no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—22no—
525C7×C4⋊C4—22no—
526C7×C4⋊C4—22no—
527C7×C4⋊C4—22no—
528C7×C4⋊C4C2×D414yes—
529C7×C4⋊C4C2×D414yes—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—22no—
535C7×C22⋊C4—22no—
536C7×C22⋊C4C2×D414yes—
537C7×C22⋊C4C2×D414yes—
538C42×C7—22no—
539C42×C7—22no—
540C42×C7—22no—
541C42×C7—22no—
542C42×C7—22no—
543C42×C7—22no—
544C42×C7C2×D414yes—
545C42×C7C2×D414yes—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—22no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—22no—
559C22⋊Dic7—41no—
560C22⋊Dic7—41no—
561C22⋊Dic7—41no—
562C22⋊Dic7—41no—
563C22⋊Dic7#4114yes—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
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—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—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582C4⋊Dic7—22no—
583C4⋊Dic7—22no—
584C4⋊Dic7—22no—
585C4⋊Dic7—22no—
586C4⋊Dic7—41no—
587C4⋊Dic7—41no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—22no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—22no—
597Dic7⋊C4—22no—
598Dic7⋊C4—22no—
599Dic7⋊C4—22no—
600Dic7⋊C4—22no—
601Dic7⋊C4—22no—
602Dic7⋊C4—41no—
603Dic7⋊C4—41no—
604Dic7⋊C4—41no—
605Dic7⋊C4—41no—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—22no—
609C4×Dic7—22no—
610C4×Dic7—22no—
611C4×Dic7—22no—
612C4×Dic7—22no—
613C4×Dic7—22no—
614C4×Dic7—22no—
615C4×Dic7—22no—
616C4×Dic7—41no—
617C4×Dic7—41no—
618C24×C4C2×D711yescharacteristic
619#529—148no—
620C2×#126—71no—
621C2×#126—71no—
622C2×#125—71no—
623C2×#124—71no—
624C2×#123—71no—
625C2×#123—71no—
626C2×C22⋊Q8—71no—
627C2×C22⋊Q8—71no—
628C2×#121—71no—
629C2×#121—71no—
630C2×#120—71no—
631C2×#120—71no—
632C2×C4×Q8—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×C4×D4—71no—
636C2×C4×D4—71no—
637C2×C4×D4—71no—
638C2×C4×D4—71no—
639C2×C4×D4—71no—
640C2×C4×D4—71no—
641C2×C4×D4—71no—
642C2×#117—28no—
643C2×#117—71no—
644C2×#117C2×D711yescharacteristic
645C2×#117C2×D711yescharacteristic
646C2×#117C2×D711yescharacteristic
647C2×#117C2×D711yescharacteristic
648C2×#117C2×D711yescharacteristic
649C2×#117C2×D711yescharacteristic
650C2×#117C2×D711yescharacteristic
651C2×#117C2×D711yescharacteristic
652C22×C4⋊C4C2×D711yescharacteristic
653C22×C4⋊C4C2×D711yescharacteristic
654C22×C22⋊C4C2×D711yescharacteristic
655C22×C22⋊C4C2×D711yescharacteristic
656C22×C42—71no—
657C22×C42C2×D711yescharacteristic
658C22×C42C2×D711yescharacteristic
659#400—71no—
660#400—71no—
661#400—71no—
662#399—71no—
663#399—71no—
664#399—71no—
665#398—71no—
666#398—71no—
667#398—71no—
668#398—71no—
669#398—71no—
670#397—71no—
671#397—71no—
672#397—71no—
673#397—71no—
674#397—71no—
675#397—71no—
676#397—71no—
677#396—71no—
678#396—71no—
679#396—71no—
680#396—71no—
681#395—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#394—71no—
687#394—71no—
688#394—71no—
689#393—71no—
690#392—71no—
691#391—71no—
692#390—71no—
693#390—71no—
694#390—71no—
695#389—71no—
696#389—71no—
697#389—71no—
698#389—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388—71no—
709#388—71no—
710#388—71no—
711#388—71no—
712#388—71no—
713#387—71no—
714#387—71no—
715#387—71no—
716#387—71no—
717#387—71no—
718#387—71no—
719#387—71no—
720#387—71no—
721#387—71no—
722#387—71no—
723#386—71no—
724#386—71no—
725#386—71no—
726#386—71no—
727#386—71no—
728#386—71no—
729#386—71no—
730#386—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#385—71no—
736#385—71no—
737#385—71no—
738#385—71no—
739#385—71no—
740#385—71no—
741#385—71no—
742#385—71no—
743#385—71no—
744#385—71no—
745#385—71no—
746#385—71no—
747#380—71no—
748#380—71no—
749#379—71no—
750#379—71no—
751C4×C4⋊C4—71no—
752C4×C4⋊C4—71no—
753C4×C4⋊C4—71no—
754C4×C4⋊C4—71no—
755C4×C4⋊C4—71no—
756C4×C4⋊C4—71no—
757C4×C4⋊C4—71no—
758C4×C4⋊C4—71no—
759C4×C22⋊C4—71no—
760C4×C22⋊C4—71no—
761C4×C22⋊C4—71no—
762C4×C22⋊C4—71no—
763C4×C22⋊C4—71no—
764C4×C22⋊C4—71no—
765C4×C22⋊C4—71no—
766C4×C22⋊C4—71no—
767C4×C22⋊C4—71no—
768C4×C22⋊C4—71no—
769C4×C22⋊C4—71no—
770C4×C22⋊C4—71no—
771C4×C22⋊C4—71no—
772C4×C22⋊C4—71no—
773#376—71no—
774C43—71no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—28no—
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—44no—
793C23×C7—44no—
794C23×C7—44no—
795C23×C7—44no—
796C23×C7—44no—
797C23×C7—44no—
798C23×C7C22×D412yes—
799C23×C7C2×#4112yes—
800C23×C7C2×#4112yes—
801C23×C7C2×#4112yes—
802C23×C7C2×#4112yes—
803C23×C7C2511yescharacteristic
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7C2×#4112yes—
818C2×C4×C7—28no—
819C2×C4×C7—28no—
820C2×C4×C7—28no—
821C2×C4×C7—21no—
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—28no—
836C2×C4×C7—28no—
837C2×C4×C7—28no—
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—44no—
851C2×C4×C7—44no—
852C2×C4×C7—44no—
853C2×C4×C7—44no—
854C2×C4×C7C22×D412yes—
855C2×C4×C7C22×D412yes—
856C2×C4×C7C22×D412yes—
857C2×C4×C7C22×D412yes—
858C2×C4×C7C22×D412yes—
859C2×C4×C7C22×D412yes—
860C2×C4×C7C2×#4112yes—
861C2×C4×C7C2×#4112yes—
862C2×C4×C7C2×#4112yes—
863C2×C4×C7C2×#4112yes—
864C22⋊D7—28no—
865C22⋊D7—44no—
866C22⋊D7—44no—
867C22⋊D7—44no—
868C22⋊D7—44no—
869C22⋊D7—44no—
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—21no—
909C2×Dic7C2×#4112yes—
910C2×Dic7C2×#4112yes—
911C2×Dic7C2×#4112yes—
912D28—44no—
913C4×D7—44no—
914C4×D7—44no—
915C4×D7—44no—
916C4×D7—44no—
917Dic14—44no—
918C25C22×D711yescharacteristic
919C22×Q8—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4—71no—
925C22×D4—71no—
926C22×D4—71no—
927C23×C4—24no—
928C23×C4—24no—
929C23×C4—24no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4C22×D711yescharacteristic
935C23×C4C22×D711yescharacteristic
936C23×C4C22×D711yescharacteristic
937C23×C4C22×D711yescharacteristic
938C23×C4C22×D711yescharacteristic
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944#126—144no—
945#126—144no—
946#125—144no—
947#124—144no—
948#123—144no—
949#123—144no—
950C22⋊Q8—144no—
951C22⋊Q8—144no—
952#121—144no—
953#121—144no—
954#120—144no—
955#120—144no—
956C4×Q8—144no—
957C4×D4—144no—
958C4×D4—144no—
959C4×D4—144no—
960C4×D4—144no—
961C4×D4—144no—
962C4×D4—144no—
963C4×D4—144no—
964C4×D4—144no—
965C4×D4—144no—
966#117—24no—
967#117—24no—
968#117—24no—
969#117—24no—
970#117—24no—
971#117—24no—
972#117—24no—
973#117—144no—
974#117C22⋊D718yescomplemented
975C2×C4⋊C4—24no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C4⋊C4C22×D711yescharacteristic
1004C2×C4⋊C4C22×D711yescharacteristic
1005C2×C4⋊C4C22×D711yescharacteristic
1006C2×C4⋊C4C22×D711yescharacteristic
1007C2×C4⋊C4C22×D711yescharacteristic
1008C2×C4⋊C4C22×D711yescharacteristic
1009C2×C22⋊C4—24no—
1010C2×C22⋊C4—24no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊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×C42—24no—
1056C2×C42—24no—
1057C2×C42—71no—
1058C2×C42—71no—
1059C2×C42—71no—
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—144no—
1070C2×C42C22×D711yescharacteristic
1071C2×C42C22×D711yescharacteristic
1072C2×C42C22×D711yescharacteristic
1073C2×C42C22×D711yescharacteristic
1074C2×C42C22×D711yescharacteristic
1075C2×C42C22×D711yescharacteristic
1076C2×C42C22×D711yescharacteristic
1077C2×C42C22×D711yescharacteristic
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#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—
1114C22×C7—22no—
1115C22×C7—22no—
1116C22×C7—22no—
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—22no—
1121C22×C7—22no—
1122C22×C7—22no—
1123C22×C7—22no—
1124C22×C7—22no—
1125C22×C7—22no—
1126C22×C7—416no—
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#52914yescomplemented
1136C22×C7C23×D411yescharacteristic
1137C22×C7C22×#4111yescharacteristic
1138C22×C7C22×#4111yescharacteristic
1139C22×C7C22×#4111yescharacteristic
1140C22×C7C22×#4111yescharacteristic
1141C22×C7#58511yescharacteristic
1142C22×C7#58511yescharacteristic
1143C2×D7—22no—
1144C2×D7—22no—
1145C2×D7—22no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C2×D7—41no—
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C4×C7—22no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—22no—
1161C4×C7—22no—
1162C4×C7—22no—
1163C4×C7—22no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7—41no—
1168C4×C7#52514yes—
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—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—71no—
1191C24—71no—
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C24C23×D711yescharacteristic
1195C2×Q8—142no—
1196C2×Q8—142no—
1197C2×Q8—281no—
1198C2×D4—74no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—142no—
1203C2×D4—142no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4—281no—
1219C22×C4—232no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
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—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—71no—
1248C22×C4—71no—
1249C22×C4—71no—
1250C22×C4—71no—
1251C22×C4—71no—
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—142no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
1265C22×C4—142no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—142no—
1269C22×C4—142no—
1270C22×C4—142no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4#115714yes—
1274C22×C4#115714yes—
1275C22×C4C2×C22⋊D714yes—
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—142no—
1295C4⋊C4—142no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
1302C4⋊C4—142no—
1303C4⋊C4—142no—
1304C4⋊C4—142no—
1305C4⋊C4—142no—
1306C4⋊C4—142no—
1307C4⋊C4—142no—
1308C4⋊C4—142no—
1309C4⋊C4—142no—
1310C4⋊C4—142no—
1311C4⋊C4—142no—
1312C4⋊C4—281no—
1313C4⋊C4—281no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4C2×C22⋊D714yes—
1319C4⋊C4C2×C22⋊D714yes—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—74no—
1327C22⋊C4—142no—
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—142no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—142no—
1352C22⋊C4—142no—
1353C22⋊C4—142no—
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⋊C4C2×C22⋊D714yes—
1363C22⋊C4C2×C22⋊D714yes—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—22no—
1370C42—142no—
1371C42—142no—
1372C42—142no—
1373C42—142no—
1374C42—142no—
1375C42—142no—
1376C42—142no—
1377C42—142no—
1378C42—142no—
1379C42—142no—
1380C42—281no—
1381C42—281no—
1382C42C2×C22⋊D714yes—
1383C42C2×C22⋊D714yes—
1384C2×C7—24no—
1385C2×C7—42no—
1386C2×C7—42no—
1387C2×C7C2×#52511yescharacteristic
1388C2×C7C2×#52911yescharacteristic
1389C2×C7#345511yescharacteristic
1390C2×C7D4×#4111yescharacteristic
1391C2×C7D4×#4111yescharacteristic
1392C2×C7#347511yescharacteristic
1393C2×C7#347511yescharacteristic
1394D7—42no—
1395D7—81no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
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—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—72no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23—141no—
1433C23C2×#115712yes—
1434C23C2×#115712yes—
1435C23D7×#4112yes—
1436C23D7×#4112yes—
1437C23C22×C22⋊D712yes—
1438C23C24×D711yescharacteristic
1439Q8—284no—
1440D4—148no—
1441D4—284no—
1442D4—284no—
1443D4—284no—
1444D4—284no—
1445D4—284no—
1446D4—284no—
1447C2×C4—28no—
1448C2×C4—28no—
1449C2×C4—28no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—28no—
1465C2×C4—28no—
1466C2×C4—28no—
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—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—72no—
1484C2×C4—72no—
1485C2×C4—72no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
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—284no—
1526C2×C4—284no—
1527C2×C4—284no—
1528C2×C4—284no—
1529C2×C4C2×#115712yes—
1530C2×C4C2×#115712yes—
1531C2×C4C2×#115712yes—
1532C2×C4C2×#115712yes—
1533C2×C4C22×C22⋊D712yes—
1534C2×C4C22×C22⋊D712yes—
1535C2×C4C22×C22⋊D712yes—
1536C2×C4C22×C22⋊D712yes—
1537C2×C4C22×C22⋊D712yes—
1538C2×C4C22×C22⋊D712yes—
1539C7#3474011yescharacteristic, complemented, Sylow
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—416no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—142no—
1562C22—142no—
1563C22—142no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22#9021914yescomplemented
1576C22C22×#115711yescharacteristic
1577C22C22×#115711yescharacteristic
1578C22C2×D7×#4111yescharacteristic
1579C22C2×D7×#4111yescharacteristic
1580C22#9061611yescharacteristic
1581C22#9061611yescharacteristic
1582C22C23×C22⋊D711yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—142no—
1595C4—142no—
1596C4—142no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C4—281no—
1607C4—281no—
1608C4#9048214yes—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—282no—
1613C2—561no—
1614C2C2×#9021911yescharacteristic
1615C2#1174280611yescharacteristic
1616C2#1174281211yescharacteristic
1617C2#1174281211yescharacteristic
1618C2C2×#9048211yescharacteristic
1619C2#41×C22⋊D711yescharacteristic
1620C2#41×C22⋊D711yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC22×C7×#117C2
prime radical#11739554C2
hypercenterC22×#117D7
hypocenterC7#34740
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C22×#117

Complements

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

NH ≅ G/Ntype
1. C22×C7×#117C2semidirect
2. C2×#90219C2semidirect
3. C4×#6516C2semidirect
4. C4×#6516C2semidirect
5. #11739726C2semidirect
6. #11739725C2semidirect
7. #11739724C2semidirect
8. #11739723C2semidirect
9. #11739719C2semidirect
10. #11739719C2semidirect
11. #11739718C2semidirect
12. #11739713C2semidirect
13. #11739698C2semidirect
14. #11739697C2semidirect
15. #11739696C2semidirect
16. #11739695C2semidirect
17. #11739690C2semidirect
18. #11739674C2semidirect
19. #11739670C2semidirect
20. #11739640C2semidirect
21. #11739620C2semidirect
22. #11739619C2semidirect
23. #11739618C2semidirect
24. #11739573C2semidirect
25. #11739557C2semidirect
26. #11739556C2semidirect
28. C4×#6487C2semidirect
29. C4×#6493C2semidirect
30. #11739510C2semidirect
31. C42×C22⋊D7C2semidirect
61. C2×#6461C22semidirect
62. C2×#6459C22semidirect
63. C2×#6457C22semidirect
64. C2×#6452C22semidirect
69. C2×C4×D28C22semidirect
70. C2×#6435C22semidirect
71. C2×C42×D7C22semidirect
72. C2×C4×Dic14C22semidirect
105. #89766C22semidirect
106. #89766C22semidirect
107. #89765C22semidirect
108. #89765C22semidirect
109. #89764C22semidirect
110. #89764C22semidirect
111. #89763C22semidirect
112. #89762C22semidirect
113. #89762C22semidirect
114. #89761C22semidirect
115. #89761C22semidirect
116. #89758C22semidirect
117. #89756C22semidirect
118. #89756C22semidirect
119. #89755C22semidirect
120. #89754C22semidirect
121. #89754C22semidirect
122. #89753C22semidirect
123. #89753C22semidirect
124. #89753C22semidirect
125. #89753C22semidirect
126. #89752C22semidirect
127. #89752C22semidirect
128. #89751C22semidirect
129. #89750C22semidirect
130. #89750C22semidirect
131. #89744C22semidirect
132. #89744C22semidirect
161. #89712C22semidirect
162. #89712C22semidirect
163. #89712C22semidirect
164. #89712C22semidirect
165. #89711C22semidirect
166. C4×(C2×D7)⋊C4C22semidirect
167. C4×(C2×D7)⋊C4C22semidirect
168. C4×(C2×D7)⋊C4C22semidirect
169. C4×(C2×D7)⋊C4C22semidirect
170. C4×(C2×D7)⋊C4C22semidirect
171. C4×(C2×D7)⋊C4C22semidirect
172. C4×C4⋊Dic7C22semidirect
173. C4×C4⋊Dic7C22semidirect
174. #89705C22semidirect
175. #89705C22semidirect
176. #89705C22semidirect
177. #89705C22semidirect
178. #89704C22semidirect
179. C4×Dic7⋊C4C22semidirect
180. C4×Dic7⋊C4C22semidirect
181. C4×Dic7⋊C4C22semidirect
182. C4×Dic7⋊C4C22semidirect
183. C4×Dic7⋊C4C22semidirect
184. C4×Dic7⋊C4C22semidirect
185. C42×Dic7C22semidirect
186. #89701C22semidirect
187. #89700C22semidirect
188. #89700C22semidirect
223. C7×#117D4semidirect
387. C22×#117D7semidirect
974. #117C22⋊D7semidirect
1135. C22×C7#529semidirect
1539. C7#34740semidirect
1575. C22#90219semidirect

Maximal subgroups

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

subgroupindex
C22×C7×#1172
C2×#902192
C4×#65162
#117397262
#117397252
#117397242
#117397232
#117397192
#117397182
#117397132
#117396982
#117396972
#117396962
#117396952
#117396902
#117396742
#117396702
#117396402
#117396202
#117396192
#117396182
#117395732
#117395572
#117395562
#117395542
C4×#64872
C4×#64932
#117395102
C42×C22⋊D72
#347407