Finite Group Databasebeta

← #14216963

Subgroups — #14216963

Order 1792.

2228 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2576C211yesmaximal, characteristic, complemented
2#11735859C211yesmaximal, characteristic, complemented
3#11735859C211yesmaximal, characteristic, complemented
4#11735141C211yesmaximal, characteristic, complemented
5#11734915C211yesmaximal, characteristic, complemented
6#11734866C211yesmaximal, characteristic, complemented
7#11734765C211yesmaximal, characteristic, complemented
8#11734583C211yesmaximal, characteristic
9#11734359C211yesmaximal, characteristic, complemented
10#11733368C211yesmaximal, characteristic, complemented
11#11733281C211yesmaximal, characteristic, complemented
12#11732955C211yesmaximal, characteristic, complemented
13#11732932C211yesmaximal, characteristic, complemented
14#11732437C211yesmaximal, characteristic, complemented
15#11732436C211yesmaximal, characteristic, complemented
16#11732435C211yesmaximal, characteristic, complemented
17#11732420C211yesmaximal, characteristic, complemented
18#11732369C211yesmaximal, characteristic, complemented
19#11732346C211yesmaximal, characteristic, complemented
20#11732324C211yesmaximal, characteristic, complemented
21#11732104C211yesmaximal, characteristic, complemented
22#11731922C211yesmaximal, characteristic, complemented
23#11731824C211yesmaximal, characteristic, complemented
24#11731687C211yesmaximal, characteristic, complemented
25#11731629C211yesmaximal, characteristic, complemented
26#11731576C211yesmaximal, characteristic, complemented
27#11731532C211yesmaximal, characteristic, complemented
28#11731051C211yesmaximal, characteristic, complemented
29#11731022C211yesmaximal, characteristic, complemented
30C4×#6445C211yesmaximal, characteristic, complemented
31#11730923C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic, complemented
33C2×#6500C2211yescharacteristic
34C2×#6500C2211yescharacteristic
35C2×D4×Dic7C2211yescharacteristic
36C2×#6492C2211yescharacteristic
37C2×C4×C22⋊D7C2211yescharacteristic
38C22×(C2×D7)⋊C4C2211yescharacteristic, complemented
39C2×#6457C2211yescharacteristic
40C2×#6456C2211yescharacteristic
41C2×#6456C2211yescharacteristic
42C2×#6453C2211yescharacteristic, complemented
43C2×#6452C2211yescharacteristic, complemented
44C2×#6452C2211yescharacteristic, complemented
45C2×#6446C2211yescharacteristic
46C2×#6445C2211yescharacteristic
47C2×#6445C2211yescharacteristic
48C2×#6445C2211yescharacteristic
49C2×#6445C2211yescharacteristic
50C2×(C22⋊D7)⋊C4C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×D7×C22⋊C4C2211yescharacteristic, complemented
54C2×D7×C22⋊C4C2211yescharacteristic, complemented
55C2×C4×D28C2211yescharacteristic
56C2×C4×D28C2211yescharacteristic
57C7×#401C2211yescharacteristic, complemented
58C7×#397C2211yescharacteristic, complemented
59C7×#396C2211yescharacteristic, complemented
60C7×#394C2211yescharacteristic
61C7×#388C2211yescharacteristic, complemented
62C7×#388C2211yescharacteristic, complemented
63C7×#387C2211yescharacteristic, complemented
64C7×#387C2211yescharacteristic, complemented
65C7×#386C2211yescharacteristic
66C7×#386C2211yescharacteristic
67C7×#385C2211yescharacteristic, complemented
68C7×#382C2211yescharacteristic, complemented
69C7×#381C2211yescharacteristic, complemented
70C4×C7×C22⋊C4C2211yescharacteristic, complemented
71C4×C7×C22⋊C4C2211yescharacteristic, complemented
72#89994C2211yescharacteristic
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic
75#89982C2211yescharacteristic, complemented
76C4×C22⋊Dic7C2211yescharacteristic, complemented
77#89766C2211yescharacteristic, complemented
78#89766C2211yescharacteristic, complemented
79#89766C2211yescharacteristic, complemented
80#89763C2211yescharacteristic
81#89763C2211yescharacteristic
82#89762C2211yescharacteristic, complemented
83#89761C2211yescharacteristic, complemented
84#89761C2211yescharacteristic, complemented
85#89761C2211yescharacteristic, complemented
86#89760C2211yescharacteristic
87#89759C2211yescharacteristic, complemented
88#89750C2211yescharacteristic, complemented
89#89748C2211yescharacteristic, complemented
90C4⋊C4×Dic7C2211yescharacteristic, complemented
91#89733C2211yescharacteristic
92#89731C2211yescharacteristic
93#89731C2211yescharacteristic
94#89731C2211yescharacteristic
95#89730C2211yescharacteristic
96#89729C2211yescharacteristic
97#89729C2211yescharacteristic
98#89729C2211yescharacteristic
99#89729C2211yescharacteristic
100#89728C2211yescharacteristic
101#89728C2211yescharacteristic
102#89728C2211yescharacteristic
103#89727C2211yescharacteristic, complemented
104#89727C2211yescharacteristic, complemented
105#89727C2211yescharacteristic, complemented
106#89727C2211yescharacteristic, complemented
107#89724C2211yescharacteristic, complemented
108#89723C2211yescharacteristic, complemented
109#89722C2211yescharacteristic, complemented
110#89722C2211yescharacteristic, complemented
111#89720C2211yescharacteristic, complemented
112#89720C2211yescharacteristic, complemented
113#89720C2211yescharacteristic, complemented
114#89718C2211yescharacteristic, complemented
115#89717C2211yescharacteristic, complemented
116#89716C2211yescharacteristic, complemented
117#89716C2211yescharacteristic, complemented
118#89714C2211yescharacteristic, complemented
119C22⋊C4×Dic7C2211yescharacteristic, complemented
120C22⋊C4×Dic7C2211yescharacteristic, complemented
121#89712C2211yescharacteristic, complemented
122#89712C2211yescharacteristic, complemented
123#89711C2211yescharacteristic
124C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
125C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
126C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
127C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
128#89705C2211yescharacteristic, complemented
129#89705C2211yescharacteristic, complemented
130C4×Dic7⋊C4C2211yescharacteristic, complemented
131#89448C2211yescharacteristic, complemented
132#89448C2211yescharacteristic, complemented
133#89448C2211yescharacteristic, complemented
134#89448C2211yescharacteristic, complemented
135#89448C2211yescharacteristic, complemented
136#89447C2211yescharacteristic, complemented
137#89447C2211yescharacteristic, complemented
138#89447C2211yescharacteristic, complemented
139#89446C2211yescharacteristic, complemented
140#89444C2211yescharacteristic
141#89444C2211yescharacteristic
142#89444C2211yescharacteristic
143#89444C2211yescharacteristic
144#89442C2211yescharacteristic, complemented
145#89442C2211yescharacteristic, complemented
146#89442C2211yescharacteristic, complemented
147#89442C2211yescharacteristic, complemented
148#89441C2211yescharacteristic, complemented
149#89441C2211yescharacteristic, complemented
150#89441C2211yescharacteristic, complemented
151#89441C2211yescharacteristic, complemented
152#89441C2211yescharacteristic, complemented
153#89440C2211yescharacteristic, complemented
154#89440C2211yescharacteristic, complemented
155#89440C2211yescharacteristic, complemented
156#89440C2211yescharacteristic, complemented
157#89440C2211yescharacteristic, complemented
158#89440C2211yescharacteristic, complemented
159#89440C2211yescharacteristic, complemented
160#89439C2211yescharacteristic, complemented
161#89438C2211yescharacteristic, complemented
162#89438C2211yescharacteristic, complemented
163#89438C2211yescharacteristic, complemented
164#89438C2211yescharacteristic, complemented
165#89438C2211yescharacteristic, complemented
166#89438C2211yescharacteristic, complemented
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89436C2211yescharacteristic, complemented
175#89436C2211yescharacteristic, complemented
176C7⋊#401C2211yescharacteristic, complemented
177#89427C2211yescharacteristic, complemented
178#89426C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89424C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89422C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89421C2211yescharacteristic, complemented
187#60037—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×C4×D7—42no—
204C22×C4×D7—42no—
205C22×C4×D7—42no—
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C2×C7×C4⋊C4C2311yescharacteristic
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C42×C7C2311yescharacteristic
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C22⋊Dic7C2311yescharacteristic
233C2×C22⋊Dic7C2311yescharacteristic
234C2×C22⋊Dic7C2311yescharacteristic
235C2×C22⋊Dic7C2311yescharacteristic
236C2×C22⋊Dic7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240#6500—24no—
241#6500—24no—
242D4×Dic7—42no—
243#6492—24no—
244C4×C22⋊D7—42no—
245C2×(C2×D7)⋊C4—42no—
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314#6457—24no—
315#6456—42no—
316#6456—42no—
317#6453—42no—
318#6452—42no—
319#6452—42no—
320#6446—24no—
321#6445—24no—
322#6445—24no—
323#6445—24no—
324#6445—24no—
325(C22⋊D7)⋊C4—42no—
326(C22⋊D7)⋊C4—42no—
327(C22⋊D7)⋊C4—42no—
328D7×C22⋊C4—42no—
329D7×C22⋊C4—42no—
330C4×D28—42no—
331C4×D28—42no—
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#2697—71no—
371#2697—71no—
372#2697—71no—
373#2679—71no—
374#2576—71no—
375#2576—71no—
376#2576—71no—
377#2576—71no—
378#2576—71no—
379#2576D711yescharacteristic, complemented
380#2566—71no—
381#2566—71no—
382#2566—71no—
383#2534—71no—
384#2534—71no—
385#2534—71no—
386#2460—71no—
387#2460—71no—
388#2460—71no—
389#2460—71no—
390#2460—71no—
391#2460—71no—
392#2374—71no—
393#2374—71no—
394#2374—71no—
395#2358—71no—
396#2358—71no—
397#2358—71no—
398C4×#120—71no—
399C4×#120—71no—
400C4×#120—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—22no—
407C23×D7—22no—
408C23×D7—22no—
409C23×D7—41no—
410C23×D7—41no—
411C23×D7—41no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—41no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C2×C22⋊D7—22no—
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7#4114yes—
454C2×C22⋊D7#4114yes—
455C22×Dic7—22no—
456C22×Dic7—22no—
457C22×Dic7—22no—
458C22×Dic7—41no—
459C22×Dic7—41no—
460C22×Dic7—41no—
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—22no—
479C2×D28—41no—
480C2×D28—41no—
481C2×D28—41no—
482C2×D28—41no—
483C2×D28—41no—
484C2×D28#4114yes—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—416no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C7×C4⋊C4—22no—
511C7×C4⋊C4—22no—
512C7×C4⋊C4—41no—
513C7×C4⋊C4—41no—
514C7×C4⋊C4—41no—
515C7×C22⋊C4—22no—
516C7×C22⋊C4—22no—
517C7×C22⋊C4—22no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—22no—
520C7×C22⋊C4—22no—
521C7×C22⋊C4—41no—
522C7×C22⋊C4—41no—
523C7×C22⋊C4—41no—
524C7×C22⋊C4—41no—
525C42×C7—41no—
526C42×C7—41no—
527C42×C7—41no—
528C22⋊Dic7—22no—
529C22⋊Dic7—22no—
530C22⋊Dic7—22no—
531C22⋊Dic7—22no—
532C22⋊Dic7—22no—
533C22⋊Dic7—41no—
534C22⋊Dic7—41no—
535C22⋊Dic7—41no—
536(C2×D7)⋊C4—22no—
537(C2×D7)⋊C4—22no—
538(C2×D7)⋊C4—22no—
539(C2×D7)⋊C4—22no—
540(C2×D7)⋊C4—22no—
541(C2×D7)⋊C4—22no—
542(C2×D7)⋊C4—22no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
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—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
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—
604C24×C4—71no—
605C2×#125—71no—
606C2×#125—71no—
607C2×#125—71no—
608C2×#123—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#120—71no—
612C2×#120—71no—
613C2×#120—71no—
614C2×#120—71no—
615C2×#120—71no—
616C2×#120—71no—
617C2×C4×D4—71no—
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C2×C4×D4—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C22×C22⋊C4—71no—
627C22×C22⋊C4—71no—
628C22×C22⋊C4—71no—
629#401—71no—
630#401C2×D711yescharacteristic, complemented
631#397—71no—
632#397—71no—
633#397—71no—
634#397—71no—
635#397—71no—
636#397C2×D711yescharacteristic, complemented
637#396—71no—
638#396—71no—
639#396—71no—
640#396—71no—
641#396—71no—
642#396—71no—
643#396—71no—
644#396—71no—
645#396—71no—
646#396—71no—
647#396—71no—
648#396C2×D711yescharacteristic, complemented
649#394—71no—
650#394—71no—
651#394—71no—
652#394—71no—
653#394—71no—
654#394—71no—
655#394—71no—
656#394—71no—
657#394—71no—
658#394—71no—
659#394—71no—
660#394C2×D711yescharacteristic
661#390—71no—
662#390—71no—
663#390—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#388—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#388C2×D711yescharacteristic, complemented
684#388C2×D711yescharacteristic, complemented
685#387—71no—
686#387—71no—
687#387—71no—
688#387—71no—
689#387—71no—
690#387—71no—
691#387—71no—
692#387—71no—
693#387—71no—
694#387—71no—
695#387C2×D711yescharacteristic, complemented
696#387C2×D711yescharacteristic, complemented
697#386—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#386C2×D711yescharacteristic
711#386C2×D711yescharacteristic
712#385—71no—
713#385—71no—
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385C2×D711yescharacteristic, complemented
727#384—71no—
728#382—71no—
729#382—71no—
730#382C2×D711yescharacteristic, complemented
731#381—71no—
732#381—71no—
733#381C2×D711yescharacteristic, complemented
734#380—71no—
735#380—71no—
736#380—71no—
737#379—71no—
738#379—71no—
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C22⋊C4—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—
756C4×C22⋊C4—71no—
757C4×C22⋊C4C2×D711yescharacteristic, complemented
758C4×C22⋊C4C2×D711yescharacteristic, complemented
759C23×C7—21no—
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—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7C2×#4112yes—
772C23×C7C2×#4112yes—
773C23×C7C2511yescharacteristic
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7—44no—
807C22×D7—44no—
808C22×D7—82no—
809C22×D7—82no—
810C22×D7—82no—
811C22×D7—82no—
812C22×D7C2×#4112yes—
813C22×D7C2×#4112yes—
814C22×D7C2×#4112yes—
815C22×D7C2×#4112yes—
816C7×D4—44no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
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—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—44no—
855C2×C4×C7—82no—
856C2×C4×C7C2×#4112yes—
857C2×C4×C7H(5,𝔽2)12yes—
858C22⋊D7—44no—
859C22⋊D7—44no—
860C22⋊D7—44no—
861C22⋊D7—44no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
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—44no—
895C2×Dic7—82no—
896C2×Dic7C2×#4112yes—
897C2×Dic7C2×#4112yes—
898C2×Dic7H(5,𝔽2)12yes—
899C2×Dic7H(5,𝔽2)12yes—
900D28—44no—
901D28—44no—
902D28—44no—
903D28—44no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—44no—
908C4×D7—82no—
909C4×D7—82no—
910C4×D7—82no—
911C4×D7—82no—
912C25—71no—
913C25—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4C22×D711yescharacteristic
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—282no—
934C23×C4—282no—
935C23×C4—282no—
936C23×C4C22×D711yescharacteristic
937C23×C4C22×D711yescharacteristic
938#125—282no—
939#125—282no—
940#125—282no—
941#123—144no—
942#123—144no—
943#123—144no—
944#120—144no—
945#120—144no—
946#120—144no—
947#120—144no—
948#120—144no—
949#120—144no—
950C4×D4—282no—
951C4×D4—282no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
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⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C22⋊C4—71no—
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—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—282no—
1031C2×C22⋊C4—282no—
1032C2×C22⋊C4—282no—
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×C22⋊C4C22×D711yescharacteristic
1042C2×C22⋊C4C22×D711yescharacteristic
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—71no—
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1081#95C22×D711yescharacteristic
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094C22×C7—22no—
1095C22×C7—22no—
1096C22×C7—22no—
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7C22×#4111yescharacteristic
1109C22×C7C22×#4111yescharacteristic
1110C22×C7C22×#4111yescharacteristic
1111C22×C7C2×H(5,𝔽2)11yescharacteristic
1112C22×C7C2×H(5,𝔽2)11yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7#58511yescharacteristic
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—416no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—88no—
1145C4×C7—22no—
1146C4×C7—22no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157C4×C7—41no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—22no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167Dic7—41no—
1168Dic7—41no—
1169Dic7—41no—
1170C24—71no—
1171C24—71no—
1172C24—71no—
1173C24—71no—
1174C24—142no—
1175C24—142no—
1176C24—142no—
1177C24—142no—
1178C24—142no—
1179C24—142no—
1180C24—281no—
1181C24—281no—
1182C24—281no—
1183C24—281no—
1184C24—281no—
1185C24—281no—
1186C24—281no—
1187C24—281no—
1188C24C23×D711yescharacteristic
1189C24C23×D711yescharacteristic
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—41no—
1193C2×D4—74no—
1194C2×D4—74no—
1195C2×D4—74no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—142no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—142no—
1203C2×D4—142no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—281no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—2816no—
1263C22×C4—281no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—142no—
1293C4⋊C4—142no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
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—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
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—
1360C42—41no—
1361C42—41no—
1362C42—41no—
1363C42—142no—
1364C42—142no—
1365C42—142no—
1366C42—281no—
1367C42—281no—
1368C42—281no—
1369C42—281no—
1370C42—281no—
1371C42—281no—
1372C42—281no—
1373C2×C7—42no—
1374C2×C7—42no—
1375C2×C7#348111yescharacteristic
1376C2×C7#348111yescharacteristic
1377C2×C7#348111yescharacteristic
1378C2×C7#350511yescharacteristic
1379C2×C7#350511yescharacteristic
1380C2×C7#350511yescharacteristic
1381C2×C7#353211yescharacteristic
1382D7—42no—
1383D7—42no—
1384D7—42no—
1385D7—42no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—72no—
1399C23—72no—
1400C23—72no—
1401C23—72no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—141no—
1423C23—141no—
1424C23—141no—
1425C23—141no—
1426C23—284no—
1427C23—284no—
1428C23—284no—
1429C23—284no—
1430C23—284no—
1431C23—284no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23—562no—
1437C23—562no—
1438C23—562no—
1439C23—562no—
1440C23D7×#4112yes—
1441C23D7×#4112yes—
1442C23C24×D711yescharacteristic
1443D4—44no—
1444D4—284no—
1445D4—284no—
1446D4—284no—
1447D4—284no—
1448D4—284no—
1449D4—284no—
1450D4—284no—
1451D4—284no—
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—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—44no—
1490C2×C4—72no—
1491C2×C4—72no—
1492C2×C4—72no—
1493C2×C4—72no—
1494C2×C4—82no—
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—141no—
1526C2×C4—141no—
1527C2×C4—284no—
1528C2×C4—284no—
1529C2×C4—284no—
1530C2×C4—284no—
1531C2×C4—284no—
1532C2×C4—562no—
1533C2×C4—562no—
1534C2×C4—562no—
1535C2×C4—562no—
1536C2×C4—562no—
1537C2×C4D7×#4112yes—
1538C2×C4#655312yes—
1539C7#6003711yescharacteristic, complemented, Sylow
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—142no—
1555C22—142no—
1556C22—142no—
1557C22—142no—
1558C22—142no—
1559C22—142no—
1560C22—142no—
1561C22—142no—
1562C22—142no—
1563C22—142no—
1564C22—142no—
1565C22—142no—
1566C22—2816no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22—281no—
1577C22—281no—
1578C22—281no—
1579C22—281no—
1580C22—281no—
1581C22—281no—
1582C22—281no—
1583C22—568no—
1584C22C2×D7×#4111yescharacteristic
1585C22C2×D7×#4111yescharacteristic
1586C22C2×D7×#4111yescharacteristic
1587C22C2×#655311yescharacteristic
1588C22#9061611yescharacteristic
1589C22D7×H(5,𝔽2)11yescharacteristic
1590C22D7×H(5,𝔽2)11yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—142no—
1605C4—142no—
1606C4—142no—
1607C4—142no—
1608C4—281no—
1609C4—281no—
1610C4—281no—
1611C4—281no—
1612C4—281no—
1613C4—281no—
1614C4—281no—
1615C4—281no—
1616C2—42no—
1617C2—42no—
1618C2—282no—
1619C2—282no—
1620C2—282no—
1621C2—282no—
1622C2#1174322111yescharacteristic
1623C2#1174322611yescharacteristic
1624C2#1174348611yescharacteristic
1625C2#1174385911yescharacteristic
1626C2#1174388511yescharacteristic
1627C2#1174394411yescharacteristic
1628C2#1174398011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2576C2
prime radical#11734583C2
hypercenter#2576D7
hypocenterC7#60037
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2576

Complements

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

NH ≅ G/Ntype
1. C7×#2576C2semidirect
2. #11735859C2semidirect
3. #11735859C2semidirect
4. #11735141C2semidirect
5. #11734915C2semidirect
6. #11734866C2semidirect
7. #11734765C2semidirect
9. #11734359C2semidirect
10. #11733368C2semidirect
11. #11733281C2semidirect
12. #11732955C2semidirect
13. #11732932C2semidirect
14. #11732437C2semidirect
15. #11732436C2semidirect
16. #11732435C2semidirect
17. #11732420C2semidirect
18. #11732369C2semidirect
19. #11732346C2semidirect
20. #11732324C2semidirect
21. #11732104C2semidirect
22. #11731922C2semidirect
23. #11731824C2semidirect
24. #11731687C2semidirect
25. #11731629C2semidirect
26. #11731576C2semidirect
27. #11731532C2semidirect
28. #11731051C2semidirect
29. #11731022C2semidirect
30. C4×#6445C2semidirect
31. #11730923C2semidirect
32. C23×C4×D7C22semidirect
38. C22×(C2×D7)⋊C4C22semidirect
42. C2×#6453C22semidirect
43. C2×#6452C22semidirect
44. C2×#6452C22semidirect
53. C2×D7×C22⋊C4C22semidirect
54. C2×D7×C22⋊C4C22semidirect
57. C7×#401C22semidirect
58. C7×#397C22semidirect
59. C7×#396C22semidirect
61. C7×#388C22semidirect
62. C7×#388C22semidirect
63. C7×#387C22semidirect
64. C7×#387C22semidirect
67. C7×#385C22semidirect
68. C7×#382C22semidirect
69. C7×#381C22semidirect
70. C4×C7×C22⋊C4C22semidirect
71. C4×C7×C22⋊C4C22semidirect
75. #89982C22semidirect
76. C4×C22⋊Dic7C22semidirect
77. #89766C22semidirect
78. #89766C22semidirect
79. #89766C22semidirect
82. #89762C22semidirect
83. #89761C22semidirect
84. #89761C22semidirect
85. #89761C22semidirect
87. #89759C22semidirect
88. #89750C22semidirect
89. #89748C22semidirect
90. C4⋊C4×Dic7C22semidirect
103. #89727C22semidirect
104. #89727C22semidirect
105. #89727C22semidirect
106. #89727C22semidirect
107. #89724C22semidirect
108. #89723C22semidirect
109. #89722C22semidirect
110. #89722C22semidirect
111. #89720C22semidirect
112. #89720C22semidirect
113. #89720C22semidirect
114. #89718C22semidirect
115. #89717C22semidirect
116. #89716C22semidirect
117. #89716C22semidirect
118. #89714C22semidirect
119. C22⋊C4×Dic7C22semidirect
120. C22⋊C4×Dic7C22semidirect
121. #89712C22semidirect
122. #89712C22semidirect
124. C4×(C2×D7)⋊C4C22semidirect
125. C4×(C2×D7)⋊C4C22semidirect
126. C4×(C2×D7)⋊C4C22semidirect
127. C4×(C2×D7)⋊C4C22semidirect
128. #89705C22semidirect
129. #89705C22semidirect
130. C4×Dic7⋊C4C22semidirect
131. #89448C22semidirect
132. #89448C22semidirect
133. #89448C22semidirect
134. #89448C22semidirect
135. #89448C22semidirect
136. #89447C22semidirect
137. #89447C22semidirect
138. #89447C22semidirect
139. #89446C22semidirect
144. #89442C22semidirect
145. #89442C22semidirect
146. #89442C22semidirect
147. #89442C22semidirect
148. #89441C22semidirect
149. #89441C22semidirect
150. #89441C22semidirect
151. #89441C22semidirect
152. #89441C22semidirect
153. #89440C22semidirect
154. #89440C22semidirect
155. #89440C22semidirect
156. #89440C22semidirect
157. #89440C22semidirect
158. #89440C22semidirect
159. #89440C22semidirect
160. #89439C22semidirect
161. #89438C22semidirect
162. #89438C22semidirect
163. #89438C22semidirect
164. #89438C22semidirect
165. #89438C22semidirect
166. #89438C22semidirect
174. #89436C22semidirect
175. #89436C22semidirect
176. C7⋊#401C22semidirect
177. #89427C22semidirect
178. #89426C22semidirect
179. #89425C22semidirect
180. #89425C22semidirect
181. #89425C22semidirect
182. #89424C22semidirect
183. #89424C22semidirect
184. #89422C22semidirect
185. #89422C22semidirect
186. #89421C22semidirect
379. #2576D7semidirect
630. #401C2×D7semidirect
636. #397C2×D7semidirect
648. #396C2×D7semidirect
683. #388C2×D7semidirect
684. #388C2×D7semidirect
695. #387C2×D7semidirect
696. #387C2×D7semidirect
726. #385C2×D7semidirect
730. #382C2×D7semidirect
733. #381C2×D7semidirect
757. C4×C22⋊C4C2×D7semidirect
758. C4×C22⋊C4C2×D7semidirect
1539. C7#60037semidirect

Maximal subgroups

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

subgroupindex
C7×#25762
#117358592
#117351412
#117349152
#117348662
#117347652
#117345832
#117343592
#117333682
#117332812
#117329552
#117329322
#117324372
#117324362
#117324352
#117324202
#117323692
#117323462
#117323242
#117321042
#117319222
#117318242
#117316872
#117316292
#117315762
#117315322
#117310512
#117310222
C4×#64452
#117309232
#600377