Finite Group Databasebeta

← #13522607

Subgroups — #13522607

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
1C2×#90219C211yesmaximal, characteristic, complemented
2C2×D7×#117C211yesmaximal, characteristic, complemented
3C7×#2298C211yesmaximal, characteristic, complemented
4#11733308C211yesmaximal, characteristic, complemented
5#11733305C211yesmaximal, characteristic, complemented
6#11733291C211yesmaximal, characteristic
7#11733289C211yesmaximal, characteristic, complemented
8#11732985C211yesmaximal, characteristic, complemented
9#11732980C211yesmaximal, characteristic, complemented
10#11732974C211yesmaximal, characteristic, complemented
11#11732972C211yesmaximal, characteristic, complemented
12#11732779C211yesmaximal, characteristic, complemented
13#11732777C211yesmaximal, characteristic, complemented
14#11732766C211yesmaximal, characteristic, complemented
15#11732764C211yesmaximal, characteristic, complemented
16#11732465C211yesmaximal, characteristic, complemented
17#11732463C211yesmaximal, characteristic, complemented
18#11732457C211yesmaximal, characteristic, complemented
19#11732454C211yesmaximal, characteristic, complemented
20#11731221C211yesmaximal, characteristic, complemented
21C4×#6460C211yesmaximal, characteristic, complemented
22C4×#6458C211yesmaximal, characteristic, complemented
23#11731113C211yesmaximal, characteristic, complemented
24#11731028C211yesmaximal, characteristic, complemented
25#11731028C211yesmaximal, characteristic, complemented
26C4×#6445C211yesmaximal, characteristic, complemented
27C4×#6445C211yesmaximal, characteristic, complemented
28#11730859C211yesmaximal, characteristic, complemented
29#11730859C211yesmaximal, characteristic, complemented
30#11730744C211yesmaximal, characteristic, complemented
31C42×D28C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#117C2211yescharacteristic
34C2×C4×C22⋊D7C2211yescharacteristic
35C2×C4×C22⋊D7C2211yescharacteristic
36C2×#6489C2211yescharacteristic
37#90219—28no—
38D7×#117—28no—
39C2×#6461C2211yescharacteristic, complemented
40C2×#6460C2211yescharacteristic
41C2×#6459C2211yescharacteristic, complemented
42C2×#6458C2211yescharacteristic
43C2×#6457C2211yescharacteristic, complemented
44C2×#6455C2211yescharacteristic
45C2×#6455C2211yescharacteristic
46C2×D7×C4⋊C4C2211yescharacteristic
47C2×D7×C4⋊C4C2211yescharacteristic
48C2×#6452C2211yescharacteristic, complemented
49C2×#6448C2211yescharacteristic
50C2×#6447C2211yescharacteristic
51C2×#6446C2211yescharacteristic
52C2×#6445C2211yescharacteristic
53C2×#6445C2211yescharacteristic
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×#6442C2211yescharacteristic
57C2×#6440C2211yescharacteristic
58C2×#6440C2211yescharacteristic
59C2×C4×D28C2211yescharacteristic
60C2×C4×D28C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic
62C2×C4×D28C2211yescharacteristic
63C2×C4×D28C2211yescharacteristic
64C2×C4×D28C2211yescharacteristic
65C2×C4×D28C2211yescharacteristic, complemented
66C2×#6435C2211yescharacteristic
67C2×#6435C2211yescharacteristic
68C2×#6435C2211yescharacteristic, complemented
69C2×C42×D7C2211yescharacteristic
70C2×C42×D7C2211yescharacteristic
71C2×C42×D7C2211yescharacteristic, complemented
72C2×C4×Dic14C2211yescharacteristic, complemented
73C7×#388C2211yescharacteristic
74C7×#388C2211yescharacteristic
75C7×#388C2211yescharacteristic
76C7×#388C2211yescharacteristic
77C7×#387C2211yescharacteristic, complemented
78C7×#387C2211yescharacteristic, complemented
79C7×#387C2211yescharacteristic, complemented
80C7×#387C2211yescharacteristic, complemented
81C4×C7×C4⋊C4C2211yescharacteristic, complemented
82C4×C7×C4⋊C4C2211yescharacteristic, complemented
83C4×C7×C22⋊C4C2211yescharacteristic
84C4×C7×C22⋊C4C2211yescharacteristic
85C7×#376C2211yescharacteristic, complemented
86C43×C7C2211yescharacteristic, complemented
87#89766C2211yescharacteristic
88#89766C2211yescharacteristic
89#89766C2211yescharacteristic, complemented
90#89766C2211yescharacteristic, complemented
91#89763C2211yescharacteristic
92#89763C2211yescharacteristic
93#89760C2211yescharacteristic, complemented
94#89759C2211yescharacteristic
95#89759C2211yescharacteristic
96#89757C2211yescharacteristic, complemented
97#89757C2211yescharacteristic, complemented
98#89755C2211yescharacteristic, complemented
99#89755C2211yescharacteristic, complemented
100#89746C2211yescharacteristic, complemented
101#89733C2211yescharacteristic
102#89733C2211yescharacteristic
103#89733C2211yescharacteristic
104#89733C2211yescharacteristic
105#89730C2211yescharacteristic
106#89730C2211yescharacteristic
107#89727C2211yescharacteristic
108#89727C2211yescharacteristic
109#89725C2211yescharacteristic
110#89725C2211yescharacteristic
111#89725C2211yescharacteristic
112#89725C2211yescharacteristic
113#89722C2211yescharacteristic
114#89722C2211yescharacteristic
115#89712C2211yescharacteristic
116#89712C2211yescharacteristic
117#89712C2211yescharacteristic, complemented
118#89712C2211yescharacteristic, complemented
119#89711C2211yescharacteristic
120#89711C2211yescharacteristic
121C4×(C2×D7)⋊C4C2211yescharacteristic
122C4×(C2×D7)⋊C4C2211yescharacteristic
123C4×(C2×D7)⋊C4C2211yescharacteristic
124C4×(C2×D7)⋊C4C2211yescharacteristic
125C4×(C2×D7)⋊C4C2211yescharacteristic
126C4×(C2×D7)⋊C4C2211yescharacteristic
127C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
128C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
129C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
130C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
131C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
132C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
133C4×C4⋊Dic7C2211yescharacteristic, complemented
134C4×C4⋊Dic7C2211yescharacteristic, complemented
135C4×C4⋊Dic7C2211yescharacteristic, complemented
136C4×C4⋊Dic7C2211yescharacteristic, complemented
137C4×C4⋊Dic7C2211yescharacteristic, complemented
138C4×C4⋊Dic7C2211yescharacteristic, complemented
139#89700C2211yescharacteristic, complemented
140#89700C2211yescharacteristic, complemented
141#89449C2211yescharacteristic
142#89449C2211yescharacteristic, complemented
143#89449C2211yescharacteristic, complemented
144#89446C2211yescharacteristic
145#89446C2211yescharacteristic, complemented
146#89446C2211yescharacteristic, complemented
147#89445C2211yescharacteristic
148#89444C2211yescharacteristic, complemented
149#89443C2211yescharacteristic
150#89442C2211yescharacteristic
151#89442C2211yescharacteristic
152#89442C2211yescharacteristic, complemented
153#89442C2211yescharacteristic, complemented
154#89442C2211yescharacteristic, complemented
155#89442C2211yescharacteristic, complemented
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic
158#89440C2211yescharacteristic
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic
161#89440C2211yescharacteristic
162#89440C2211yescharacteristic
163#89440C2211yescharacteristic
164#89440C2211yescharacteristic, complemented
165#89440C2211yescharacteristic, complemented
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89433C2211yescharacteristic, complemented
177#89433C2211yescharacteristic, complemented
178#89433C2211yescharacteristic, complemented
179#89431C2211yescharacteristic, complemented
180#89431C2211yescharacteristic, complemented
181#89431C2211yescharacteristic, complemented
182#89428C2211yescharacteristic, complemented
183#89425C2211yescharacteristic, complemented
184#89425C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89425C2211yescharacteristic, complemented
187#89425C2211yescharacteristic, complemented
188#89425C2211yescharacteristic, complemented
189#34740—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C23×Dic7C2311yescharacteristic
195C22×D28C2311yescharacteristic
196C22×D28C2311yescharacteristic
197C22×D28C2311yescharacteristic
198C22×D28C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×C4×D7—24no—
201C22×C4×D7—24no—
202C22×C4×D7—24no—
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#117D418yescomplemented
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C22⋊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×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C4×C22⋊D7—24no—
244C4×C22⋊D7—24no—
245C2×(C2×D7)⋊C4C2311yescharacteristic
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
279#6489—24no—
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316#6461—24no—
317#6460—24no—
318#6459—24no—
319#6458—24no—
320#6457—24no—
321#6455—24no—
322#6455—24no—
323D7×C4⋊C4—24no—
324D7×C4⋊C4—24no—
325#6452—24no—
326#6448—24no—
327#6447—24no—
328#6446—24no—
329#6445—24no—
330#6445—24no—
331D7×C22⋊C4—24no—
332D7×C22⋊C4—24no—
333#6442—24no—
334#6440—24no—
335#6440—24no—
336C4×D28—24no—
337C4×D28—24no—
338C4×D28—24no—
339C4×D28—24no—
340C4×D28—24no—
341C4×D28—24no—
342C4×D28—24no—
343#6435—24no—
344#6435—24no—
345#6435—24no—
346C42×D7—24no—
347C42×D7—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×#117—71no—
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#2298D711yescharacteristic, complemented
413#2293—71no—
414#2290—71no—
415#2290—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C23×D7—22no—
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7C2411yescharacteristic
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7C2×D414yes—
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
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C22×Dic7—22no—
453C22×Dic7—22no—
454C22×Dic7—22no—
455C22×Dic7C2411yescharacteristic
456C22×Dic7C2411yescharacteristic
457C22×Dic7C2411yescharacteristic
458C22×Dic7C2411yescharacteristic
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C2×D28—22no—
468C2×D28—22no—
469C2×D28—22no—
470C2×D28—22no—
471C2×D28—22no—
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28—41no—
481C2×D28#4114yes—
482C2×C4×D7—232no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
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—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—22no—
506C2×C4×D7—22no—
507C2×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7#4114yes—
518C2×C4×D7#4114yes—
519C2×Dic14—22no—
520C2×Dic14—22no—
521C2×Dic14—41no—
522C7×C4⋊C4—22no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—41no—
525C7×C4⋊C4—41no—
526C7×C4⋊C4C2×D414yes—
527C7×C4⋊C4C2×D414yes—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4C2×D414yes—
533C7×C22⋊C4C2×D414yes—
534C42×C7—22no—
535C42×C7—22no—
536C42×C7—22no—
537C42×C7—22no—
538C42×C7—22no—
539C42×C7—22no—
540C42×C7—41no—
541C42×C7—41no—
542C42×C7C2×D414yes—
543C42×C7C2×D414yes—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—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—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
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—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4#4114yes—
582C4⋊Dic7—22no—
583C4⋊Dic7—22no—
584C4⋊Dic7—22no—
585C4⋊Dic7—22no—
586C4⋊Dic7—22no—
587C4⋊Dic7—22no—
588C4⋊Dic7—22no—
589C4⋊Dic7—22no—
590C4⋊Dic7—22no—
591C4⋊Dic7—22no—
592C4⋊Dic7—22no—
593C4⋊Dic7—22no—
594C4⋊Dic7—41no—
595C4⋊Dic7—41no—
596C4⋊Dic7—41no—
597C4⋊Dic7—41no—
598Dic7⋊C4—22no—
599Dic7⋊C4—22no—
600Dic7⋊C4—22no—
601Dic7⋊C4—22no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
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—22no—
617C4×Dic7—22no—
618C24×C4—71no—
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—71no—
643C2×#117—71no—
644C2×#117—71no—
645C2×#117—71no—
646C2×#117—71no—
647C2×#117—71no—
648C2×#117—71no—
649C2×#117—71no—
650C2×#117—148no—
651C2×#117C2×D711yescharacteristic
652C22×C4⋊C4—71no—
653C22×C4⋊C4—71no—
654C22×C22⋊C4—71no—
655C22×C22⋊C4—71no—
656C22×C42—71no—
657C22×C42—71no—
658C22×C42—71no—
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#388C2×D711yescharacteristic
710#388C2×D711yescharacteristic
711#388C2×D711yescharacteristic
712#388C2×D711yescharacteristic
713#387—71no—
714#387—71no—
715#387—71no—
716#387—71no—
717#387—71no—
718#387—71no—
719#387C2×D711yescharacteristic, complemented
720#387C2×D711yescharacteristic, complemented
721#387C2×D711yescharacteristic, complemented
722#387C2×D711yescharacteristic, complemented
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⋊C4C2×D711yescharacteristic, complemented
758C4×C4⋊C4C2×D711yescharacteristic, complemented
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⋊C4C2×D711yescharacteristic
772C4×C22⋊C4C2×D711yescharacteristic
773#376C2×D711yescharacteristic, complemented
774C43C2×D711yescharacteristic, complemented
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7C22×D412yes—
782C23×C7C2511yescharacteristic
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—28no—
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—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—44no—
808C22×D7—44no—
809C22×D7—44no—
810C22×D7—44no—
811C22×D7—44no—
812C22×D7—44no—
813C22×D7C2×#4112yes—
814C22×D7C2×#4112yes—
815C22×D7C2×#4112yes—
816C22×D7C2×#4112yes—
817C22×D7C2×#4112yes—
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—28no—
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×C7C22×D412yes—
852C2×C4×C7C22×D412yes—
853C2×C4×C7C22×D412yes—
854C2×C4×C7C22×D412yes—
855C2×C4×C7C22×D412yes—
856C2×C4×C7C22×D412yes—
857C2×C4×C7C2×#4112yes—
858C2×C4×C7C2×#4112yes—
859C2×C4×C7C2×#4112yes—
860C2×C4×C7C2×#4112yes—
861C22⋊D7—44no—
862C22⋊D7—44no—
863C2×Dic7—28no—
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—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7C2×#4112yes—
898C2×Dic7C2×#4112yes—
899C2×Dic7C2×#4112yes—
900D28—28no—
901D28—44no—
902D28—44no—
903D28—44no—
904D28—44no—
905C4×D7—28no—
906C4×D7—28no—
907C4×D7—28no—
908C4×D7—28no—
909C4×D7—44no—
910C4×D7—44no—
911C4×D7—44no—
912C4×D7—44no—
913C4×D7—44no—
914C4×D7—44no—
915C4×D7—44no—
916C4×D7—44no—
917Dic14—44no—
918C25—71no—
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—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4—71no—
938C23×C4—71no—
939C23×C4—71no—
940C23×C4—144no—
941C23×C4—144no—
942C23×C4—144no—
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—144no—
967#117—144no—
968#117—144no—
969#117—144no—
970#117—144no—
971#117—144no—
972#117—144no—
973#117—144no—
974#117D2818yescomplemented
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—144no—
1002C2×C4⋊C4—144no—
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—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—144no—
1048C2×C22⋊C4—144no—
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—71no—
1056C2×C42—71no—
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—144no—
1066C2×C42—144no—
1067C2×C42—144no—
1068C2×C42C22×D711yescharacteristic
1069C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1103#95C22×D711yescharacteristic
1104#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107#95C22×D711yescharacteristic
1108#95C22×D711yescharacteristic
1109#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112#95C22×D711yescharacteristic
1113#95C22×D711yescharacteristic
1114C22×C7—22no—
1115C22×C7—22no—
1116C22×C7—22no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7C23×D411yescharacteristic
1122C22×C7C22×#4111yescharacteristic
1123C22×C7C22×#4111yescharacteristic
1124C22×C7C22×#4111yescharacteristic
1125C22×C7C22×#4111yescharacteristic
1126C22×C7#58511yescharacteristic
1127C22×C7#58511yescharacteristic
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—22no—
1133C2×D7—22no—
1134C2×D7—22no—
1135C2×D7—22no—
1136C2×D7—22no—
1137C2×D7—22no—
1138C2×D7—22no—
1139C2×D7—22no—
1140C2×D7—416no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
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#52914yescomplemented
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—41no—
1169C4×C7—41no—
1170C4×C7#52514yes—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—22no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183C24—71no—
1184C24—71no—
1185C24—71no—
1186C24—71no—
1187C24—142no—
1188C24—142no—
1189C24—142no—
1190C24—142no—
1191C24—142no—
1192C24—281no—
1193C24—281no—
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—22no—
1220C22×C4—22no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—74no—
1225C22×C4—74no—
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—1432no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—142no—
1256C22×C4—142no—
1257C22×C4—142no—
1258C22×C4—142no—
1259C22×C4—142no—
1260C22×C4—142no—
1261C22×C4—142no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
1265C22×C4—142no—
1266C22×C4—142no—
1267C22×C4—281no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4C2×D2814yes—
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
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—41no—
1291C4⋊C4—41no—
1292C4⋊C4—142no—
1293C4⋊C4—142no—
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—142no—
1313C4⋊C4—142no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4C2×D2814yes—
1319C4⋊C4C2×D2814yes—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—74no—
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—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—142no—
1355C22⋊C4—142no—
1356C22⋊C4—281no—
1357C22⋊C4—281no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4C2×D2814yes—
1363C22⋊C4C2×D2814yes—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—22no—
1370C42—41no—
1371C42—41no—
1372C42—142no—
1373C42—142no—
1374C42—142no—
1375C42—142no—
1376C42—142no—
1377C42—142no—
1378C42—142no—
1379C42—142no—
1380C42—142no—
1381C42—142no—
1382C42C2×D2814yes—
1383C42C2×D2814yes—
1384C2×C7—42no—
1385C2×C7C2×#52511yescharacteristic
1386C2×C7C2×#52911yescharacteristic
1387C2×C7#345511yescharacteristic
1388C2×C7D4×#4111yescharacteristic
1389C2×C7D4×#4111yescharacteristic
1390C2×C7#347511yescharacteristic
1391C2×C7#347511yescharacteristic
1392D7—24no—
1393D7—42no—
1394D7—42no—
1395D7—81no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—72no—
1403C23—72no—
1404C23—72no—
1405C23—72no—
1406C23—72no—
1407C23—148no—
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—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—284no—
1432C23—284no—
1433C23—284no—
1434C23—284no—
1435C23—284no—
1436C23—284no—
1437C23C22×D2812yes—
1438C23C24×D711yescharacteristic
1439Q8—284no—
1440D4—148no—
1441D4—284no—
1442D4—284no—
1443D4—284no—
1444D4—284no—
1445D4—284no—
1446D4—284no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
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—28no—
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—72no—
1481C2×C4—72no—
1482C2×C4—72no—
1483C2×C4—148no—
1484C2×C4—148no—
1485C2×C4—148no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—148no—
1493C2×C4—148no—
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—284no—
1522C2×C4—284no—
1523C2×C4—284no—
1524C2×C4—284no—
1525C2×C4—284no—
1526C2×C4—284no—
1527C2×C4—284no—
1528C2×C4—284no—
1529C2×C4C22×D2812yes—
1530C2×C4C22×D2812yes—
1531C2×C4C22×D2812yes—
1532C2×C4C22×D2812yes—
1533C2×C4C22×D2812yes—
1534C2×C4C22×D2812yes—
1535C2×C4D7×#4112yes—
1536C2×C4D7×#4112yes—
1537C2×C4D7×#4112yes—
1538C2×C4D7×#4112yes—
1539C7#3474011yescharacteristic, complemented, Sylow
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—74no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—142no—
1556C22—142no—
1557C22—142no—
1558C22—142no—
1559C22—142no—
1560C22—2816no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22—281no—
1576C22C23×D2811yescharacteristic
1577C22C2×D7×#4111yescharacteristic
1578C22C2×D7×#4111yescharacteristic
1579C22C2×D7×#4111yescharacteristic
1580C22C2×D7×#4111yescharacteristic
1581C22#9061611yescharacteristic
1582C22#9061611yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—142no—
1597C4—142no—
1598C4—142no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C4—281no—
1607C4—281no—
1608C4#9021514yes—
1609C2—42no—
1610C2—144no—
1611C2—282no—
1612C2—282no—
1613C2—561no—
1614C2C2×#9021511yescharacteristic
1615C2#41×D2811yescharacteristic
1616C2#41×D2811yescharacteristic
1617C2D7×#52911yescharacteristic
1618C2#1174321411yescharacteristic
1619C2#1174321811yescharacteristic
1620C2#1174321911yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC7×#2298C2
prime radical#11733291C2
hypercenter#2298D7
hypocenterC7#34740
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ #2298

Complements

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

NH ≅ G/Ntype
1. C2×#90219C2semidirect
2. C2×D7×#117C2semidirect
3. C7×#2298C2semidirect
4. #11733308C2semidirect
5. #11733305C2semidirect
7. #11733289C2semidirect
8. #11732985C2semidirect
9. #11732980C2semidirect
10. #11732974C2semidirect
11. #11732972C2semidirect
12. #11732779C2semidirect
13. #11732777C2semidirect
14. #11732766C2semidirect
15. #11732764C2semidirect
16. #11732465C2semidirect
17. #11732463C2semidirect
18. #11732457C2semidirect
19. #11732454C2semidirect
20. #11731221C2semidirect
21. C4×#6460C2semidirect
22. C4×#6458C2semidirect
23. #11731113C2semidirect
24. #11731028C2semidirect
25. #11731028C2semidirect
26. C4×#6445C2semidirect
27. C4×#6445C2semidirect
28. #11730859C2semidirect
29. #11730859C2semidirect
30. #11730744C2semidirect
31. C42×D28C2semidirect
39. C2×#6461C22semidirect
41. C2×#6459C22semidirect
43. C2×#6457C22semidirect
48. C2×#6452C22semidirect
65. C2×C4×D28C22semidirect
68. C2×#6435C22semidirect
71. C2×C42×D7C22semidirect
72. C2×C4×Dic14C22semidirect
77. C7×#387C22semidirect
78. C7×#387C22semidirect
79. C7×#387C22semidirect
80. C7×#387C22semidirect
81. C4×C7×C4⋊C4C22semidirect
82. C4×C7×C4⋊C4C22semidirect
85. C7×#376C22semidirect
86. C43×C7C22semidirect
89. #89766C22semidirect
90. #89766C22semidirect
93. #89760C22semidirect
96. #89757C22semidirect
97. #89757C22semidirect
98. #89755C22semidirect
99. #89755C22semidirect
100. #89746C22semidirect
117. #89712C22semidirect
118. #89712C22semidirect
127. C4×(C2×D7)⋊C4C22semidirect
128. C4×(C2×D7)⋊C4C22semidirect
129. C4×(C2×D7)⋊C4C22semidirect
130. C4×(C2×D7)⋊C4C22semidirect
131. C4×(C2×D7)⋊C4C22semidirect
132. C4×(C2×D7)⋊C4C22semidirect
133. C4×C4⋊Dic7C22semidirect
134. C4×C4⋊Dic7C22semidirect
135. C4×C4⋊Dic7C22semidirect
136. C4×C4⋊Dic7C22semidirect
137. C4×C4⋊Dic7C22semidirect
138. C4×C4⋊Dic7C22semidirect
139. #89700C22semidirect
140. #89700C22semidirect
142. #89449C22semidirect
143. #89449C22semidirect
145. #89446C22semidirect
146. #89446C22semidirect
148. #89444C22semidirect
152. #89442C22semidirect
153. #89442C22semidirect
154. #89442C22semidirect
155. #89442C22semidirect
164. #89440C22semidirect
165. #89440C22semidirect
176. #89433C22semidirect
177. #89433C22semidirect
178. #89433C22semidirect
179. #89431C22semidirect
180. #89431C22semidirect
181. #89431C22semidirect
182. #89428C22semidirect
183. #89425C22semidirect
184. #89425C22semidirect
185. #89425C22semidirect
186. #89425C22semidirect
187. #89425C22semidirect
188. #89425C22semidirect
216. C7×#117D4semidirect
412. #2298D7semidirect
719. #387C2×D7semidirect
720. #387C2×D7semidirect
721. #387C2×D7semidirect
722. #387C2×D7semidirect
757. C4×C4⋊C4C2×D7semidirect
758. C4×C4⋊C4C2×D7semidirect
773. #376C2×D7semidirect
774. C43C2×D7semidirect
974. #117D28semidirect
1156. C2×D7#529semidirect
1539. C7#34740semidirect

Maximal subgroups

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

subgroupindex
C2×#902192
C2×D7×#1172
C7×#22982
#117333082
#117333052
#117332912
#117332892
#117329852
#117329802
#117329742
#117329722
#117327792
#117327772
#117327662
#117327642
#117324652
#117324632
#117324572
#117324542
#117312212
C4×#64602
C4×#64582
#117311132
#117310282
C4×#64452
#117308592
#117307442
C42×D282
#347407