Finite Group Databasebeta

← #13521582

Subgroups — #13521582

Order 1792.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90315C211yesmaximal, characteristic, complemented
2C22×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
3C7×#2437C211yesmaximal, characteristic, complemented
4#11740214C211yesmaximal, characteristic, complemented
5#11740210C211yesmaximal, characteristic, complemented
6Dic7×C22⋊Q8C211yesmaximal, characteristic, complemented
7#11739572C211yesmaximal, characteristic
8#11739553C211yesmaximal, characteristic, complemented
9C2×C22⋊C4×Dic7C211yesmaximal, characteristic, complemented
10#11735470C211yesmaximal, characteristic, complemented
11#11735462C211yesmaximal, characteristic, complemented
12#11734742C211yesmaximal, characteristic, complemented
13#11734739C211yesmaximal, characteristic, complemented
14#11734726C211yesmaximal, characteristic, complemented
15#11734726C211yesmaximal, characteristic, complemented
16#11734231C211yesmaximal, characteristic, complemented
17#11734224C211yesmaximal, characteristic, complemented
18#11731898C211yesmaximal, characteristic, complemented
19#11731888C211yesmaximal, characteristic, complemented
20#11731864C211yesmaximal, characteristic, complemented
21#11731855C211yesmaximal, characteristic, complemented
22#11731825C211yesmaximal, characteristic, complemented
23#11731824C211yesmaximal, characteristic, complemented
24#11731822C211yesmaximal, characteristic, complemented
25#11731822C211yesmaximal, characteristic, complemented
26#11731355C211yesmaximal, characteristic, complemented
27#11731335C211yesmaximal, characteristic, complemented
28#11731310C211yesmaximal, characteristic, complemented
29#11731307C211yesmaximal, characteristic, complemented
30#11731268C211yesmaximal, characteristic, complemented
31#11731263C211yesmaximal, characteristic, complemented
32C23×C22⋊D7C2211yescharacteristic
33C24×Dic7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C2×C7×C22⋊Q8C2211yescharacteristic
36C2×C7×C22⋊Q8C2211yescharacteristic, complemented
37C22×C7×C22⋊C4C2211yescharacteristic
38C22×C7×C22⋊C4C2211yescharacteristic
39C2×#6516C2211yescharacteristic
40C22×C22⋊Dic7C2211yescharacteristic
41C2×#6510C2211yescharacteristic, complemented
42C2×Q8×Dic7C2211yescharacteristic, complemented
43C2×#6493C2211yescharacteristic
44C2×#6493C2211yescharacteristic
45C22×(C2×D7)⋊C4C2211yescharacteristic
46C22×Dic7⋊C4C2211yescharacteristic
47C22×C4×Dic7C2211yescharacteristic
48C22×C4×Dic7C2211yescharacteristic, complemented
49C22×C4×Dic7C2211yescharacteristic, complemented
50#90315—28no—
51C2×#6461C2211yescharacteristic, complemented
52C2×#6461C2211yescharacteristic, complemented
53C2×#6456C2211yescharacteristic, complemented
54C2×#6456C2211yescharacteristic, complemented
55C2×#6455C2211yescharacteristic, complemented
56C2×#6455C2211yescharacteristic, complemented
57C2×#6455C2211yescharacteristic, complemented
58C2×#6453C2211yescharacteristic, complemented
59C2×#6449C2211yescharacteristic
60C2×#6449C2211yescharacteristic
61C2×#6449C2211yescharacteristic, complemented
62C2×#6445C2211yescharacteristic
63C2×(C22⋊D7)⋊C4—28no—
64C2×(C22⋊D7)⋊C4C2211yescharacteristic
65C2×(C22⋊D7)⋊C4C2211yescharacteristic
66C2×(C22⋊D7)⋊C4C2211yescharacteristic
67C2×(C22⋊D7)⋊C4C2211yescharacteristic
68C2×(C22⋊D7)⋊C4C2211yescharacteristic
69C2×(C22⋊D7)⋊C4C2211yescharacteristic
70C2×(C22⋊D7)⋊C4C2211yescharacteristic
71C2×(C22⋊D7)⋊C4C2211yescharacteristic
72C2×(C22⋊D7)⋊C4C2211yescharacteristic
73C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
74C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
75C7×#399C2211yescharacteristic, complemented
76C7×#396C2211yescharacteristic, complemented
77C7×#396C2211yescharacteristic, complemented
78C7×#393C2211yescharacteristic, complemented
79C7×#385C2211yescharacteristic
80C7×#385C2211yescharacteristic
81C7×#385C2211yescharacteristic, complemented
82C7×#385C2211yescharacteristic, complemented
83C7×#380C2211yescharacteristic
84C7×#380C2211yescharacteristic, complemented
85C7×#379C2211yescharacteristic
86#90003C2211yescharacteristic, complemented
87#90002C2211yescharacteristic, complemented
88#89985C2211yescharacteristic
89#89985C2211yescharacteristic
90#89985C2211yescharacteristic
91#89985C2211yescharacteristic
92#89984C2211yescharacteristic
93#89984C2211yescharacteristic
94C2×C7⋊#95C2211yescharacteristic, complemented
95C2×C7⋊#95C2211yescharacteristic, complemented
96#89766C2211yescharacteristic, complemented
97#89766C2211yescharacteristic, complemented
98#89765C2211yescharacteristic, complemented
99#89765C2211yescharacteristic, complemented
100#89763C2211yescharacteristic, complemented
101#89763C2211yescharacteristic, complemented
102#89762C2211yescharacteristic, complemented
103#89762C2211yescharacteristic, complemented
104#89762C2211yescharacteristic, complemented
105#89762C2211yescharacteristic, complemented
106#89761C2211yescharacteristic, complemented
107#89761C2211yescharacteristic, complemented
108#89760C2211yescharacteristic, complemented
109#89759C2211yescharacteristic, complemented
110#89759C2211yescharacteristic, complemented
111#89757C2211yescharacteristic, complemented
112#89756C2211yescharacteristic, complemented
113#89756C2211yescharacteristic, complemented
114#89754C2211yescharacteristic, complemented
115#89753C2211yescharacteristic, complemented
116#89753C2211yescharacteristic, complemented
117#89750C2211yescharacteristic, complemented
118#89750C2211yescharacteristic, complemented
119C4⋊C4×Dic7C2211yescharacteristic, complemented
120C4⋊C4×Dic7C2211yescharacteristic, complemented
121C4⋊C4×Dic7C2211yescharacteristic, complemented
122C4⋊C4×Dic7C2211yescharacteristic, complemented
123#89745C2211yescharacteristic, complemented
124#89733C2211yescharacteristic
125#89733C2211yescharacteristic
126#89733C2211yescharacteristic
127#89733C2211yescharacteristic
128#89733C2211yescharacteristic
129#89733C2211yescharacteristic
130#89733C2211yescharacteristic, complemented
131#89733C2211yescharacteristic, complemented
132#89732C2211yescharacteristic
133#89732C2211yescharacteristic
134#89730C2211yescharacteristic
135#89730C2211yescharacteristic
136#89730C2211yescharacteristic
137#89730C2211yescharacteristic
138#89730C2211yescharacteristic, complemented
139#89730C2211yescharacteristic, complemented
140#89730C2211yescharacteristic, complemented
141#89727C2211yescharacteristic
142#89727C2211yescharacteristic
143#89727C2211yescharacteristic
144#89725C2211yescharacteristic, complemented
145#89725C2211yescharacteristic, complemented
146#89722C2211yescharacteristic
147#89722C2211yescharacteristic
148#89722C2211yescharacteristic
149#89722C2211yescharacteristic, complemented
150#89718C2211yescharacteristic
151#89718C2211yescharacteristic, complemented
152#89718C2211yescharacteristic, complemented
153#89715C2211yescharacteristic, complemented
154C22⋊C4×Dic7C2211yescharacteristic
155C22⋊C4×Dic7C2211yescharacteristic
156C22⋊C4×Dic7C2211yescharacteristic
157C22⋊C4×Dic7C2211yescharacteristic
158C22⋊C4×Dic7C2211yescharacteristic
159C22⋊C4×Dic7C2211yescharacteristic, complemented
160C22⋊C4×Dic7C2211yescharacteristic, complemented
161C22⋊C4×Dic7C2211yescharacteristic, complemented
162C22⋊C4×Dic7C2211yescharacteristic, complemented
163C22⋊C4×Dic7C2211yescharacteristic, complemented
164C22⋊C4×Dic7C2211yescharacteristic, complemented
165#89447C2211yescharacteristic, complemented
166#89447C2211yescharacteristic, complemented
167#89446C2211yescharacteristic, complemented
168#89442C2211yescharacteristic, complemented
169#89442C2211yescharacteristic, complemented
170#89441C2211yescharacteristic, complemented
171#89441C2211yescharacteristic, complemented
172#89438C2211yescharacteristic, complemented
173#89438C2211yescharacteristic, complemented
174#89438C2211yescharacteristic, complemented
175#89438C2211yescharacteristic, complemented
176#89438C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178#89437C2211yescharacteristic, complemented
179#89436C2211yescharacteristic, complemented
180#89436C2211yescharacteristic, complemented
181#89433C2211yescharacteristic, complemented
182#89432C2211yescharacteristic, complemented
183#89432C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89427C2211yescharacteristic, complemented
186#89426C2211yescharacteristic, complemented
187#89426C2211yescharacteristic, complemented
188#89420C2211yescharacteristic, complemented
189#34670—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×Q8C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C22×C22⋊D7—24no—
198C22×C22⋊D7—24no—
199C22×C22⋊D7—24no—
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C23×Dic7—24no—
208C23×Dic7—24no—
209C23×Dic7—42no—
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C23×Dic7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C23×Dic7C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×C4×D7—24no—
222C22×C4×D7—24no—
223C22×C4×D7—42no—
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C7×C22⋊Q8—24no—
230C7×C22⋊Q8—24no—
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C4⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4—24no—
241C2×C7×C22⋊C4—24no—
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C7×C22⋊C4C2311yescharacteristic
251C2×C7×C22⋊C4C2311yescharacteristic
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C7×C22⋊C4C2311yescharacteristic
254C2×C7×C22⋊C4C2311yescharacteristic
255C2×C7×C22⋊C4C2311yescharacteristic
256#6516—24no—
257C2×C22⋊Dic7—24no—
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265#6510—24no—
266Q8×Dic7—24no—
267#6493—24no—
268#6493—24no—
269C2×(C2×D7)⋊C4—24no—
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×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(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×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307C2×Dic7⋊C4—24no—
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×C4×Dic7—24no—
316C2×C4×Dic7—24no—
317C2×C4×Dic7—42no—
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333#6461—24no—
334#6461—24no—
335#6456—24no—
336#6456—42no—
337#6455—24no—
338#6455—24no—
339#6455—42no—
340#6453—24no—
341#6449—24no—
342#6449—24no—
343#6449—24no—
344#6445—24no—
345(C22⋊D7)⋊C4—24no—
346(C22⋊D7)⋊C4—24no—
347(C22⋊D7)⋊C4—24no—
348(C22⋊D7)⋊C4—24no—
349(C22⋊D7)⋊C4—24no—
350(C22⋊D7)⋊C4—24no—
351(C22⋊D7)⋊C4—24no—
352(C22⋊D7)⋊C4—24no—
353(C22⋊D7)⋊C4—24no—
354(C22⋊D7)⋊C4—42no—
355(C22⋊D7)⋊C4D418yescomplemented
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
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#529—71no—
393C22×C4×D4—71no—
394#2481—71no—
395#2480—71no—
396#2473—71no—
397#2472—71no—
398#2467—71no—
399#2466—71no—
400#2460—71no—
401#2459—71no—
402#2450—71no—
403#2444—71no—
404#2437D711yescharacteristic, complemented
405#2425—71no—
406#2419—71no—
407#2412—71no—
408#2410—71no—
409#2405—71no—
410#2398—71no—
411#2395—71no—
412#2392—71no—
413#2392—71no—
414C4×C22⋊Q8—71no—
415C4×#123—71no—
416C4×#121—71no—
417C4×#120—71no—
418C4×#120—71no—
419#2290—71no—
420#2290—71no—
421#2280—71no—
422C2×C4×C22⋊C4—71no—
423C24×C7—22no—
424C24×C7—22no—
425C24×C7—22no—
426C24×C7—22no—
427C24×C7—41no—
428C24×C7—41no—
429C24×C7#4114yes—
430C24×C7C2411yescharacteristic
431C24×C7C2411yescharacteristic
432C24×C7C2411yescharacteristic
433C23×D7—22no—
434C23×D7—22no—
435C23×D7—22no—
436C23×D7—22no—
437C23×D7—22no—
438C23×D7—41no—
439C23×D7—41no—
440C23×D7C2411yescharacteristic
441C23×D7C2411yescharacteristic
442C23×D7C2411yescharacteristic
443C2×C7×Q8—22no—
444C2×C7×Q8—22no—
445C2×C7×Q8—41no—
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—22no—
454C22×C4×C7—41no—
455C22×C4×C7—41no—
456C22×C4×C7—41no—
457C22×C4×C7—41no—
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
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
470C2×C22⋊D7—232no—
471C2×C22⋊D7—22no—
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—22no—
486C2×C22⋊D7—22no—
487C2×C22⋊D7—22no—
488C2×C22⋊D7—41no—
489C2×C22⋊D7—41no—
490C2×C22⋊D7C2×D414yes—
491C2×C22⋊D7#4114yes—
492C22×Dic7—22no—
493C22×Dic7—22no—
494C22×Dic7—22no—
495C22×Dic7—22no—
496C22×Dic7—22no—
497C22×Dic7—22no—
498C22×Dic7—22no—
499C22×Dic7—22no—
500C22×Dic7—22no—
501C22×Dic7—22no—
502C22×Dic7—22no—
503C22×Dic7—22no—
504C22×Dic7—22no—
505C22×Dic7—22no—
506C22×Dic7—22no—
507C22×Dic7—22no—
508C22×Dic7—22no—
509C22×Dic7—22no—
510C22×Dic7—22no—
511C22×Dic7—22no—
512C22×Dic7—41no—
513C22×Dic7—41no—
514C22×Dic7—41no—
515C22×Dic7—41no—
516C22×Dic7—41no—
517C22×Dic7—416no—
518C22×Dic7C2×D414yes—
519C22×Dic7#4114yes—
520C22×Dic7C2411yescharacteristic
521C22×Dic7C2411yescharacteristic
522C22×Dic7C2411yescharacteristic
523C22×Dic7C2411yescharacteristic
524C22×Dic7C2411yescharacteristic
525C22×Dic7C2411yescharacteristic
526C22×Dic7C2411yescharacteristic
527C22×Dic7C2411yescharacteristic
528C22×Dic7C2411yescharacteristic
529C22×Dic7C2411yescharacteristic
530C22×Dic7C2411yescharacteristic
531C22×Dic7C2411yescharacteristic
532C22×Dic7C2411yescharacteristic
533C2×D28—22no—
534C2×D28—22no—
535C2×D28—22no—
536C2×D28—22no—
537C2×D28—41no—
538C2×D28—41no—
539C2×C4×D7—22no—
540C2×C4×D7—22no—
541C2×C4×D7—22no—
542C2×C4×D7—22no—
543C2×C4×D7—22no—
544C2×C4×D7—22no—
545C2×C4×D7—22no—
546C2×C4×D7—22no—
547C2×C4×D7—22no—
548C2×C4×D7—22no—
549C2×C4×D7—22no—
550C2×C4×D7—22no—
551C2×C4×D7—416no—
552C2×C4×D7—41no—
553C2×C4×D7—41no—
554C2×C4×D7C2×D414yes—
555C7×C4⋊C4—22no—
556C7×C4⋊C4—22no—
557C7×C4⋊C4—22no—
558C7×C4⋊C4—22no—
559C7×C4⋊C4—22no—
560C7×C4⋊C4—22no—
561C7×C4⋊C4—41no—
562C7×C4⋊C4—41no—
563C7×C4⋊C4—41no—
564C7×C22⋊C4—22no—
565C7×C22⋊C4—22no—
566C7×C22⋊C4—22no—
567C7×C22⋊C4—22no—
568C7×C22⋊C4—22no—
569C7×C22⋊C4—22no—
570C7×C22⋊C4—22no—
571C7×C22⋊C4—22no—
572C7×C22⋊C4—22no—
573C7×C22⋊C4—22no—
574C7×C22⋊C4—41no—
575C7×C22⋊C4—41no—
576C7×C22⋊C4C2×D414yes—
577C7×C22⋊C4#4114yes—
578C22⋊Dic7—22no—
579C22⋊Dic7—22no—
580C22⋊Dic7—22no—
581C22⋊Dic7—22no—
582C22⋊Dic7—22no—
583C22⋊Dic7—22no—
584C22⋊Dic7—22no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—22no—
587(C2×D7)⋊C4—22no—
588(C2×D7)⋊C4—22no—
589(C2×D7)⋊C4—22no—
590(C2×D7)⋊C4—22no—
591(C2×D7)⋊C4—22no—
592(C2×D7)⋊C4—22no—
593(C2×D7)⋊C4—22no—
594(C2×D7)⋊C4—22no—
595(C2×D7)⋊C4—22no—
596(C2×D7)⋊C4—22no—
597(C2×D7)⋊C4—22no—
598(C2×D7)⋊C4—22no—
599(C2×D7)⋊C4—22no—
600(C2×D7)⋊C4—22no—
601(C2×D7)⋊C4—22no—
602(C2×D7)⋊C4—41no—
603(C2×D7)⋊C4—41no—
604(C2×D7)⋊C4—41no—
605(C2×D7)⋊C4—41no—
606(C2×D7)⋊C4—41no—
607(C2×D7)⋊C4—41no—
608(C2×D7)⋊C4—41no—
609(C2×D7)⋊C4—41no—
610(C2×D7)⋊C4—41no—
611(C2×D7)⋊C4C2×D414yes—
612C4⋊Dic7—22no—
613C4⋊Dic7—22no—
614C4⋊Dic7—22no—
615C4⋊Dic7—22no—
616C4⋊Dic7—22no—
617C4⋊Dic7—22no—
618C4⋊Dic7—22no—
619C4⋊Dic7—22no—
620C4⋊Dic7—41no—
621C4⋊Dic7—41no—
622Dic7⋊C4—22no—
623Dic7⋊C4—22no—
624Dic7⋊C4—22no—
625Dic7⋊C4—22no—
626Dic7⋊C4—22no—
627Dic7⋊C4—41no—
628Dic7⋊C4C2×D414yes—
629C4×Dic7—22no—
630C4×Dic7—22no—
631C4×Dic7—22no—
632C4×Dic7—22no—
633C4×Dic7—22no—
634C4×Dic7—22no—
635C4×Dic7—22no—
636C4×Dic7—22no—
637C4×Dic7—22no—
638C4×Dic7—22no—
639C4×Dic7—22no—
640C4×Dic7—22no—
641C4×Dic7—41no—
642C4×Dic7—41no—
643C4×Dic7C2×D414yes—
644C23×D4—71no—
645C24×C4—71no—
646C24×C4—71no—
647#529—148no—
648C2×#126—71no—
649C2×#126—71no—
650C2×#125—71no—
651C2×#124—71no—
652C2×#123—71no—
653C2×#123—71no—
654C2×#123—71no—
655C2×C22⋊Q8C2×D711yescharacteristic
656C2×C22⋊Q8C2×D711yescharacteristic, complemented
657C2×#121—71no—
658C2×#121—71no—
659C2×#120—71no—
660C2×#120—71no—
661C2×C4×Q8—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C2×C4×D4—71no—
665C2×C4×D4—71no—
666C2×C4×D4—71no—
667C2×C4×D4—71no—
668C2×C4×D4—71no—
669C2×C4×D4—71no—
670C2×C4×D4—71no—
671C2×C4×D4—71no—
672C2×C4×D4—71no—
673C2×C4×D4—71no—
674C2×C4×D4—71no—
675C2×C4×D4—148no—
676C2×#117—71no—
677C2×#117—71no—
678C2×#117—71no—
679C22×C4⋊C4—71no—
680C22×C22⋊C4—71no—
681C22×C22⋊C4—71no—
682C22×C22⋊C4C2×D711yescharacteristic
683C22×C22⋊C4C2×D711yescharacteristic
684C22×C42—71no—
685C22×C42—71no—
686C22×C42—71no—
687#400—71no—
688#400—71no—
689#400—71no—
690#399C2×D711yescharacteristic, complemented
691#398—71no—
692#398—71no—
693#398—71no—
694#397—71no—
695#397—71no—
696#397—71no—
697#397—71no—
698#397—71no—
699#397—71no—
700#397—71no—
701#396—71no—
702#396—71no—
703#396C2×D711yescharacteristic, complemented
704#396C2×D711yescharacteristic, complemented
705#394—71no—
706#394—71no—
707#394—71no—
708#394—71no—
709#394—71no—
710#394—71no—
711#394—71no—
712#394—71no—
713#394—71no—
714#394—71no—
715#393—71no—
716#393C2×D711yescharacteristic, complemented
717#392—71no—
718#392—71no—
719#391—71no—
720#390—71no—
721#389—71no—
722#389—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#387—71no—
732#387—71no—
733#387—71no—
734#387—71no—
735#387—71no—
736#387—71no—
737#387—71no—
738#387—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#385—71no—
753#385—71no—
754#385—71no—
755#385—71no—
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385C2×D711yescharacteristic
762#385C2×D711yescharacteristic
763#385C2×D711yescharacteristic, complemented
764#385C2×D711yescharacteristic, complemented
765#381—71no—
766#381—71no—
767#381—71no—
768#380—71no—
769#380—71no—
770#380—71no—
771#380—71no—
772#380C2×D711yescharacteristic
773#380C2×D711yescharacteristic, complemented
774#379—71no—
775#379—71no—
776#379—71no—
777#379C2×D711yescharacteristic
778C4×C4⋊C4—71no—
779C4×C4⋊C4—71no—
780C4×C4⋊C4—71no—
781C4×C4⋊C4—71no—
782C4×C22⋊C4—71no—
783C4×C22⋊C4—71no—
784C4×C22⋊C4—71no—
785C4×C22⋊C4—71no—
786C4×C22⋊C4—71no—
787C4×C22⋊C4—71no—
788C4×C22⋊C4—71no—
789C4×C22⋊C4—71no—
790C4×C22⋊C4—71no—
791C4×C22⋊C4—71no—
792C4×C22⋊C4—71no—
793C4×C22⋊C4—71no—
794C4×C22⋊C4—71no—
795C4×C22⋊C4—71no—
796C4×C22⋊C4—71no—
797C4×C22⋊C4—71no—
798#376—71no—
799C2×#95—71no—
800C2×#95—71no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—28no—
810C23×C7—28no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—44no—
818C23×C7—44no—
819C23×C7—44no—
820C23×C7—44no—
821C23×C7—44no—
822C23×C7C22×D412yes—
823C23×C7C2×#4112yes—
824C23×C7C2×#4112yes—
825C23×C7C2×#4112yes—
826C23×C7C2×#4112yes—
827C23×C7C2×#4112yes—
828C23×C7C2×#4112yes—
829C23×C7C2511yescharacteristic
830C22×D7—28no—
831C22×D7—21no—
832C22×D7—21no—
833C22×D7—21no—
834C22×D7—21no—
835C22×D7—21no—
836C22×D7—21no—
837C22×D7—21no—
838C22×D7—21no—
839C22×D7—21no—
840C22×D7—21no—
841C22×D7—21no—
842C22×D7—21no—
843C22×D7—21no—
844C22×D7—21no—
845C22×D7—21no—
846C22×D7—21no—
847C22×D7—21no—
848C22×D7—21no—
849C22×D7—21no—
850C22×D7—44no—
851C22×D7—44no—
852C22×D7—44no—
853C22×D7—44no—
854C22×D7—44no—
855C22×D7—44no—
856C22×D7C22×D412yes—
857C22×D7C2×#4112yes—
858C7×Q8—44no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—21no—
878C2×C4×C7—21no—
879C2×C4×C7—21no—
880C2×C4×C7—21no—
881C2×C4×C7—21no—
882C2×C4×C7—21no—
883C2×C4×C7—21no—
884C2×C4×C7—21no—
885C2×C4×C7—21no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—44no—
892C2×C4×C7—44no—
893C2×C4×C7—44no—
894C2×C4×C7—44no—
895C2×C4×C7C22×D412yes—
896C2×C4×C7C22×D412yes—
897C2×C4×C7C2×#4112yes—
898C2×C4×C7C2×#4112yes—
899C22⋊D7—28no—
900C22⋊D7—28no—
901C22⋊D7—28no—
902C22⋊D7—28no—
903C22⋊D7—44no—
904C22⋊D7—44no—
905C22⋊D7—44no—
906C2×Dic7—28no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—28no—
916C2×Dic7—28no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—21no—
922C2×Dic7—21no—
923C2×Dic7—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—21no—
928C2×Dic7—21no—
929C2×Dic7—21no—
930C2×Dic7—21no—
931C2×Dic7—21no—
932C2×Dic7—21no—
933C2×Dic7—21no—
934C2×Dic7—21no—
935C2×Dic7—21no—
936C2×Dic7—21no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—21no—
940C2×Dic7—21no—
941C2×Dic7—44no—
942C2×Dic7—44no—
943C2×Dic7—44no—
944C2×Dic7—44no—
945C2×Dic7—44no—
946C2×Dic7—44no—
947C2×Dic7C22×D412yes—
948C2×Dic7C22×D412yes—
949C2×Dic7C22×D412yes—
950C2×Dic7C2×#4112yes—
951C2×Dic7C2×#4112yes—
952C2×Dic7C2×#4112yes—
953C2×Dic7H(5,𝔽2)12yes—
954D28—44no—
955D28—44no—
956C4×D7—28no—
957C4×D7—44no—
958C4×D7—44no—
959C4×D7—44no—
960C4×D7—44no—
961C25—71no—
962C25C22×D711yescharacteristic
963C22×Q8C22×D711yescharacteristic
964C22×D4—71no—
965C22×D4—71no—
966C22×D4—71no—
967C22×D4—71no—
968C22×D4—71no—
969C22×D4—71no—
970C22×D4—71no—
971C22×D4—71no—
972C22×D4—71no—
973C22×D4—144no—
974C22×D4—144no—
975C22×D4—144no—
976C23×C4—71no—
977C23×C4—71no—
978C23×C4—71no—
979C23×C4—71no—
980C23×C4—71no—
981C23×C4—71no—
982C23×C4—71no—
983C23×C4—71no—
984C23×C4—71no—
985C23×C4—71no—
986C23×C4—71no—
987C23×C4—71no—
988C23×C4—71no—
989C23×C4—71no—
990C23×C4—144no—
991C23×C4—144no—
992C23×C4—144no—
993C23×C4—144no—
994C23×C4—282no—
995C23×C4—282no—
996C23×C4C22×D711yescharacteristic
997C23×C4C22×D711yescharacteristic
998C23×C4C22×D711yescharacteristic
999C23×C4C22×D711yescharacteristic
1000#126—144no—
1001#126—144no—
1002#125—144no—
1003#124—144no—
1004#123—144no—
1005#123—144no—
1006#123—144no—
1007C22⋊Q8—24no—
1008C22⋊Q8—24no—
1009#121—144no—
1010#121—144no—
1011#120—144no—
1012#120—144no—
1013C4×Q8—144no—
1014C4×D4—78no—
1015C4×D4—144no—
1016C4×D4—144no—
1017C4×D4—144no—
1018C4×D4—144no—
1019C4×D4—144no—
1020C4×D4—144no—
1021C4×D4—144no—
1022C4×D4—144no—
1023C4×D4—144no—
1024C4×D4—144no—
1025C4×D4—282no—
1026C4×D4—282no—
1027#117—144no—
1028#117—144no—
1029#117—282no—
1030C2×C4⋊C4—71no—
1031C2×C4⋊C4—71no—
1032C2×C4⋊C4—71no—
1033C2×C4⋊C4—71no—
1034C2×C4⋊C4—71no—
1035C2×C4⋊C4—71no—
1036C2×C4⋊C4—71no—
1037C2×C4⋊C4—71no—
1038C2×C4⋊C4—71no—
1039C2×C4⋊C4—71no—
1040C2×C4⋊C4—71no—
1041C2×C4⋊C4—71no—
1042C2×C4⋊C4—71no—
1043C2×C4⋊C4—71no—
1044C2×C4⋊C4—71no—
1045C2×C4⋊C4—71no—
1046C2×C4⋊C4—71no—
1047C2×C4⋊C4—144no—
1048C2×C4⋊C4C22×D711yescharacteristic
1049C2×C4⋊C4C22×D711yescharacteristic
1050C2×C4⋊C4C22×D711yescharacteristic
1051C2×C4⋊C4C22×D711yescharacteristic
1052C2×C4⋊C4C22×D711yescharacteristic
1053C2×C4⋊C4C22×D711yescharacteristic
1054C2×C4⋊C4C22×D711yescharacteristic
1055C2×C4⋊C4C22×D711yescharacteristic
1056C2×C4⋊C4C22×D711yescharacteristic
1057C2×C22⋊C4—24no—
1058C2×C22⋊C4—24no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4—71no—
1080C2×C22⋊C4—71no—
1081C2×C22⋊C4—71no—
1082C2×C22⋊C4—71no—
1083C2×C22⋊C4—71no—
1084C2×C22⋊C4—71no—
1085C2×C22⋊C4—71no—
1086C2×C22⋊C4—71no—
1087C2×C22⋊C4—71no—
1088C2×C22⋊C4—71no—
1089C2×C22⋊C4—71no—
1090C2×C22⋊C4—71no—
1091C2×C22⋊C4—71no—
1092C2×C22⋊C4—71no—
1093C2×C22⋊C4—144no—
1094C2×C22⋊C4—144no—
1095C2×C22⋊C4C22×D711yescharacteristic
1096C2×C22⋊C4C22×D711yescharacteristic
1097C2×C22⋊C4C22×D711yescharacteristic
1098C2×C22⋊C4C22×D711yescharacteristic
1099C2×C22⋊C4C22×D711yescharacteristic
1100C2×C22⋊C4C22×D711yescharacteristic
1101C2×C22⋊C4C22×D711yescharacteristic
1102C2×C22⋊C4C22×D711yescharacteristic
1103C2×C22⋊C4C22×D711yescharacteristic
1104C2×C22⋊C4C22×D711yescharacteristic
1105C2×C22⋊C4C22×D711yescharacteristic
1106C2×C22⋊C4C22×D711yescharacteristic
1107C2×C22⋊C4C22×D711yescharacteristic
1108C2×C22⋊C4C22×D711yescharacteristic
1109C2×C42—71no—
1110C2×C42—71no—
1111C2×C42—71no—
1112C2×C42—71no—
1113C2×C42—71no—
1114C2×C42—71no—
1115C2×C42—71no—
1116C2×C42—71no—
1117C2×C42—71no—
1118C2×C42—71no—
1119C2×C42—71no—
1120C2×C42—71no—
1121C2×C42—71no—
1122C2×C42—71no—
1123C2×C42—71no—
1124C2×C42—144no—
1125C2×C42—144no—
1126C2×C42—282no—
1127#95—71no—
1128#95—71no—
1129#95—71no—
1130#95—71no—
1131#95—71no—
1132#95—71no—
1133#95—71no—
1134#95—71no—
1135#95—71no—
1136#95—71no—
1137#95—71no—
1138#95—71no—
1139#95—71no—
1140#95—71no—
1141#95—71no—
1142#95—71no—
1143#95—71no—
1144#95—71no—
1145#95—71no—
1146#95—71no—
1147#95—71no—
1148#95—71no—
1149#95—71no—
1150#95—71no—
1151#95—71no—
1152#95—71no—
1153#95—71no—
1154#95—71no—
1155#95—71no—
1156#95—71no—
1157#95C22×D711yescharacteristic
1158#95C22×D711yescharacteristic
1159#95C22×D711yescharacteristic
1160#95C22×D711yescharacteristic
1161#95C22×D711yescharacteristic
1162#95C22×D711yescharacteristic
1163C22×C7—22no—
1164C22×C7—22no—
1165C22×C7—22no—
1166C22×C7—22no—
1167C22×C7—22no—
1168C22×C7—22no—
1169C22×C7—22no—
1170C22×C7—22no—
1171C22×C7—22no—
1172C22×C7—22no—
1173C22×C7—22no—
1174C22×C7—22no—
1175C22×C7—22no—
1176C22×C7—22no—
1177C22×C7—22no—
1178C22×C7—416no—
1179C22×C7—41no—
1180C22×C7—41no—
1181C22×C7—41no—
1182C22×C7—41no—
1183C22×C7#52514yes—
1184C22×C7#52914yescomplemented
1185C22×C7C23×D411yescharacteristic
1186C22×C7C22×#4111yescharacteristic
1187C22×C7C22×#4111yescharacteristic
1188C22×C7C22×#4111yescharacteristic
1189C22×C7C22×#4111yescharacteristic
1190C22×C7C2×H(5,𝔽2)11yescharacteristic
1191C22×C7#58511yescharacteristic
1192C2×D7—22no—
1193C2×D7—22no—
1194C2×D7—22no—
1195C2×D7—22no—
1196C2×D7—22no—
1197C2×D7—22no—
1198C2×D7—416no—
1199C2×D7—41no—
1200C2×D7—41no—
1201C2×D7—41no—
1202C2×D7—41no—
1203C2×D7—41no—
1204C2×D7—41no—
1205C2×D7—41no—
1206C2×D7—41no—
1207C2×D7—41no—
1208C2×D7—41no—
1209C2×D7—41no—
1210C2×D7—41no—
1211C2×D7—41no—
1212C2×D7—41no—
1213C2×D7—41no—
1214C4×C7—22no—
1215C4×C7—22no—
1216C4×C7—22no—
1217C4×C7—22no—
1218C4×C7—41no—
1219C4×C7—41no—
1220C4×C7—41no—
1221C4×C7—41no—
1222C4×C7—41no—
1223C4×C7—41no—
1224C4×C7—41no—
1225C4×C7—41no—
1226Dic7—22no—
1227Dic7—22no—
1228Dic7—22no—
1229Dic7—22no—
1230Dic7—41no—
1231Dic7—41no—
1232Dic7—41no—
1233Dic7—41no—
1234Dic7—41no—
1235Dic7—41no—
1236Dic7—41no—
1237Dic7—41no—
1238Dic7#54614yes—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—41no—
1244C24—41no—
1245C24—71no—
1246C24—71no—
1247C24—71no—
1248C24—142no—
1249C24—142no—
1250C24—142no—
1251C24—142no—
1252C24—142no—
1253C24—281no—
1254C24—281no—
1255C24#116114yes—
1256C24C23×D711yescharacteristic
1257C24C23×D711yescharacteristic
1258C24C23×D711yescharacteristic
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—41no—
1262C2×D4—74no—
1263C2×D4—74no—
1264C2×D4—142no—
1265C2×D4—142no—
1266C2×D4—142no—
1267C2×D4—142no—
1268C2×D4—142no—
1269C2×D4—142no—
1270C2×D4—1432no—
1271C2×D4—142no—
1272C2×D4—142no—
1273C2×D4—142no—
1274C2×D4—142no—
1275C2×D4—142no—
1276C2×D4—142no—
1277C2×D4—142no—
1278C2×D4—142no—
1279C2×D4—142no—
1280C2×D4—142no—
1281C2×D4—142no—
1282C2×D4—142no—
1283C2×D4—142no—
1284C2×D4—142no—
1285C2×D4—142no—
1286C2×D4—281no—
1287C2×D4—281no—
1288C2×D4—281no—
1289C2×D4—281no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—71no—
1303C22×C4—74no—
1304C22×C4—74no—
1305C22×C4—71no—
1306C22×C4—71no—
1307C22×C4—71no—
1308C22×C4—71no—
1309C22×C4—74no—
1310C22×C4—71no—
1311C22×C4—71no—
1312C22×C4—71no—
1313C22×C4—71no—
1314C22×C4—71no—
1315C22×C4—71no—
1316C22×C4—71no—
1317C22×C4—71no—
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—142no—
1344C22×C4—142no—
1345C22×C4—142no—
1346C22×C4—142no—
1347C22×C4—142no—
1348C22×C4—142no—
1349C22×C4—142no—
1350C22×C4—281no—
1351C22×C4—281no—
1352C22×C4—2816no—
1353C22×C4—281no—
1354C22×C4—281no—
1355C22×C4—281no—
1356C22×C4—281no—
1357C22×C4—281no—
1358C22×C4—2816no—
1359C22×C4C23×D711yescharacteristic
1360C22×C4C23×D711yescharacteristic
1361C22×C4C23×D711yescharacteristic
1362C22×C4C23×D711yescharacteristic
1363C22×C4C23×D711yescharacteristic
1364C22×C4C23×D711yescharacteristic
1365C22×C4C23×D711yescharacteristic
1366C22×C4C23×D711yescharacteristic
1367C22×C4C23×D711yescharacteristic
1368C22×C4C23×D711yescharacteristic
1369C22×C4C23×D711yescharacteristic
1370C22×C4C23×D711yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—74no—
1381C4⋊C4—142no—
1382C4⋊C4—142no—
1383C4⋊C4—142no—
1384C4⋊C4—142no—
1385C4⋊C4—142no—
1386C4⋊C4—142no—
1387C4⋊C4—142no—
1388C4⋊C4—142no—
1389C4⋊C4—142no—
1390C4⋊C4—142no—
1391C4⋊C4—142no—
1392C4⋊C4—142no—
1393C4⋊C4—142no—
1394C4⋊C4—281no—
1395C4⋊C4—281no—
1396C4⋊C4—281no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—74no—
1410C22⋊C4—142no—
1411C22⋊C4—142no—
1412C22⋊C4—142no—
1413C22⋊C4—142no—
1414C22⋊C4—142no—
1415C22⋊C4—142no—
1416C22⋊C4—142no—
1417C22⋊C4—142no—
1418C22⋊C4—142no—
1419C22⋊C4—142no—
1420C22⋊C4—142no—
1421C22⋊C4—142no—
1422C22⋊C4—142no—
1423C22⋊C4—142no—
1424C22⋊C4—142no—
1425C22⋊C4—142no—
1426C22⋊C4—142no—
1427C22⋊C4—142no—
1428C22⋊C4—142no—
1429C22⋊C4—142no—
1430C22⋊C4—142no—
1431C22⋊C4—142no—
1432C22⋊C4—142no—
1433C22⋊C4—142no—
1434C22⋊C4—281no—
1435C22⋊C4—281no—
1436C22⋊C4—281no—
1437C22⋊C4—281no—
1438C22⋊C4—281no—
1439C22⋊C4—281no—
1440C22⋊C4—281no—
1441C22⋊C4—281no—
1442C22⋊C4—281no—
1443C22⋊C4D4×D714yes—
1444C22⋊C4#115914yes—
1445C42—74no—
1446C42—142no—
1447C42—142no—
1448C42—142no—
1449C42—142no—
1450C42—142no—
1451C42—142no—
1452C42—142no—
1453C42—142no—
1454C42—142no—
1455C42—142no—
1456C42—142no—
1457C42—142no—
1458C42—281no—
1459C42—281no—
1460C2×C7—24no—
1461C2×C7—24no—
1462C2×C7—42no—
1463C2×C7C2×#52511yescharacteristic
1464C2×C7C2×#52911yescharacteristic
1465C2×C7#345911yescharacteristic
1466C2×C7C2×#54611yescharacteristic
1467C2×C7D4×#4111yescharacteristic
1468C2×C7#347511yescharacteristic
1469C2×C7#348111yescharacteristic
1470D7—42no—
1471D7—42no—
1472D7—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—28no—
1482C23—28no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—72no—
1495C23—72no—
1496C23—148no—
1497C23—141no—
1498C23—141no—
1499C23—141no—
1500C23—141no—
1501C23—141no—
1502C23—141no—
1503C23—141no—
1504C23—141no—
1505C23—141no—
1506C23—141no—
1507C23—141no—
1508C23—141no—
1509C23—141no—
1510C23—141no—
1511C23—141no—
1512C23—141no—
1513C23—141no—
1514C23—141no—
1515C23—141no—
1516C23—284no—
1517C23—284no—
1518C23—284no—
1519C23—284no—
1520C23—284no—
1521C23—284no—
1522C23C2×D4×D712yes—
1523C23C2×#115912yes—
1524C23C2×#116112yes—
1525C23C2×#116112yes—
1526C23C2×#116112yes—
1527C23D7×#4112yes—
1528C23D7×#4112yes—
1529C23C24×D711yescharacteristic
1530Q8—44no—
1531D4—148no—
1532D4—148no—
1533D4—148no—
1534D4—148no—
1535D4—284no—
1536D4—284no—
1537D4—284no—
1538D4—284no—
1539D4—284no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—72no—
1577C2×C4—72no—
1578C2×C4—72no—
1579C2×C4—72no—
1580C2×C4—72no—
1581C2×C4—72no—
1582C2×C4—72no—
1583C2×C4—148no—
1584C2×C4—148no—
1585C2×C4—148no—
1586C2×C4—148no—
1587C2×C4—141no—
1588C2×C4—141no—
1589C2×C4—141no—
1590C2×C4—141no—
1591C2×C4—141no—
1592C2×C4—141no—
1593C2×C4—141no—
1594C2×C4—141no—
1595C2×C4—141no—
1596C2×C4—141no—
1597C2×C4—141no—
1598C2×C4—141no—
1599C2×C4—141no—
1600C2×C4—141no—
1601C2×C4—141no—
1602C2×C4—141no—
1603C2×C4—141no—
1604C2×C4—141no—
1605C2×C4—141no—
1606C2×C4—141no—
1607C2×C4—141no—
1608C2×C4—141no—
1609C2×C4—141no—
1610C2×C4—141no—
1611C2×C4—141no—
1612C2×C4—141no—
1613C2×C4—141no—
1614C2×C4—141no—
1615C2×C4—141no—
1616C2×C4—141no—
1617C2×C4—141no—
1618C2×C4—141no—
1619C2×C4—284no—
1620C2×C4—284no—
1621C2×C4—284no—
1622C2×C4—284no—
1623C2×C4—284no—
1624C2×C4—284no—
1625C2×C4—284no—
1626C2×C4—284no—
1627C2×C4—284no—
1628C2×C4—284no—
1629C2×C4C2×D4×D712yes—
1630C2×C4C2×D4×D712yes—
1631C2×C4C2×#115912yes—
1632C2×C4C2×#115912yes—
1633C7#3467011yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—416no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—142no—
1655C22—142no—
1656C22—142no—
1657C22—142no—
1658C22—142no—
1659C22—142no—
1660C22—2816no—
1661C22—281no—
1662C22—281no—
1663C22—281no—
1664C22—281no—
1665C22—281no—
1666C22—281no—
1667C22—281no—
1668C22—281no—
1669C22—281no—
1670C22—281no—
1671C22—281no—
1672C22—281no—
1673C22—281no—
1674C22—281no—
1675C22—281no—
1676C22#9031514yescomplemented
1677C22#9031814yes—
1678C22C22×D4×D711yescharacteristic
1679C22C22×#115911yescharacteristic
1680C22C22×#116111yescharacteristic
1681C22C2×D7×#4111yescharacteristic
1682C22C2×D7×#4111yescharacteristic
1683C22D7×H(5,𝔽2)11yescharacteristic
1684C22#9061811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—74no—
1698C4—142no—
1699C4—142no—
1700C4—142no—
1701C4—142no—
1702C4—281no—
1703C4—281no—
1704C4—281no—
1705C4—281no—
1706C4—281no—
1707C4—281no—
1708C4—281no—
1709C4—281no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—282no—
1714C2—282no—
1715C2—561no—
1716C2C2×#9031811yescharacteristic
1717C2C2×#9031511yescharacteristic
1718C2#1174364011yescharacteristic
1719C2D4×#115911yescharacteristic
1720C2#1174369611yescharacteristic
1721C2D7×#54611yescharacteristic
1722C2#1174385811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2437C2
prime radical#11739572C2
hypercenter#2437D7
hypocenterC7#34670
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#90315C2semidirect
2. C22×(C22⋊D7)⋊C4C2semidirect
3. C7×#2437C2semidirect
4. #11740214C2semidirect
5. #11740210C2semidirect
6. Dic7×C22⋊Q8C2semidirect
8. #11739553C2semidirect
9. C2×C22⋊C4×Dic7C2semidirect
10. #11735470C2semidirect
11. #11735462C2semidirect
12. #11734742C2semidirect
13. #11734739C2semidirect
14. #11734726C2semidirect
15. #11734726C2semidirect
16. #11734231C2semidirect
17. #11734224C2semidirect
18. #11731898C2semidirect
19. #11731888C2semidirect
20. #11731864C2semidirect
21. #11731855C2semidirect
22. #11731825C2semidirect
23. #11731824C2semidirect
24. #11731822C2semidirect
25. #11731822C2semidirect
26. #11731355C2semidirect
27. #11731335C2semidirect
28. #11731310C2semidirect
29. #11731307C2semidirect
30. #11731268C2semidirect
31. #11731263C2semidirect
36. C2×C7×C22⋊Q8C22semidirect
41. C2×#6510C22semidirect
42. C2×Q8×Dic7C22semidirect
48. C22×C4×Dic7C22semidirect
49. C22×C4×Dic7C22semidirect
51. C2×#6461C22semidirect
52. C2×#6461C22semidirect
53. C2×#6456C22semidirect
54. C2×#6456C22semidirect
55. C2×#6455C22semidirect
56. C2×#6455C22semidirect
57. C2×#6455C22semidirect
58. C2×#6453C22semidirect
61. C2×#6449C22semidirect
73. C2×(C22⋊D7)⋊C4C22semidirect
74. C2×(C22⋊D7)⋊C4C22semidirect
75. C7×#399C22semidirect
76. C7×#396C22semidirect
77. C7×#396C22semidirect
78. C7×#393C22semidirect
81. C7×#385C22semidirect
82. C7×#385C22semidirect
84. C7×#380C22semidirect
86. #90003C22semidirect
87. #90002C22semidirect
94. C2×C7⋊#95C22semidirect
95. C2×C7⋊#95C22semidirect
96. #89766C22semidirect
97. #89766C22semidirect
98. #89765C22semidirect
99. #89765C22semidirect
100. #89763C22semidirect
101. #89763C22semidirect
102. #89762C22semidirect
103. #89762C22semidirect
104. #89762C22semidirect
105. #89762C22semidirect
106. #89761C22semidirect
107. #89761C22semidirect
108. #89760C22semidirect
109. #89759C22semidirect
110. #89759C22semidirect
111. #89757C22semidirect
112. #89756C22semidirect
113. #89756C22semidirect
114. #89754C22semidirect
115. #89753C22semidirect
116. #89753C22semidirect
117. #89750C22semidirect
118. #89750C22semidirect
119. C4⋊C4×Dic7C22semidirect
120. C4⋊C4×Dic7C22semidirect
121. C4⋊C4×Dic7C22semidirect
122. C4⋊C4×Dic7C22semidirect
123. #89745C22semidirect
130. #89733C22semidirect
131. #89733C22semidirect
138. #89730C22semidirect
139. #89730C22semidirect
140. #89730C22semidirect
144. #89725C22semidirect
145. #89725C22semidirect
149. #89722C22semidirect
151. #89718C22semidirect
152. #89718C22semidirect
153. #89715C22semidirect
159. C22⋊C4×Dic7C22semidirect
160. C22⋊C4×Dic7C22semidirect
161. C22⋊C4×Dic7C22semidirect
162. C22⋊C4×Dic7C22semidirect
163. C22⋊C4×Dic7C22semidirect
164. C22⋊C4×Dic7C22semidirect
165. #89447C22semidirect
166. #89447C22semidirect
167. #89446C22semidirect
168. #89442C22semidirect
169. #89442C22semidirect
170. #89441C22semidirect
171. #89441C22semidirect
172. #89438C22semidirect
173. #89438C22semidirect
174. #89438C22semidirect
175. #89438C22semidirect
176. #89438C22semidirect
177. #89437C22semidirect
178. #89437C22semidirect
179. #89436C22semidirect
180. #89436C22semidirect
181. #89433C22semidirect
182. #89432C22semidirect
183. #89432C22semidirect
184. #89427C22semidirect
185. #89427C22semidirect
186. #89426C22semidirect
187. #89426C22semidirect
188. #89420C22semidirect
355. (C22⋊D7)⋊C4D4semidirect
404. #2437D7semidirect
656. C2×C22⋊Q8C2×D7semidirect
690. #399C2×D7semidirect
703. #396C2×D7semidirect
704. #396C2×D7semidirect
716. #393C2×D7semidirect
763. #385C2×D7semidirect
764. #385C2×D7semidirect
773. #380C2×D7semidirect
1184. C22×C7#529semidirect
1633. C7#34670semidirect
1676. C22#90315semidirect

Maximal subgroups

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

subgroupindex
C2×#903152
C22×(C22⋊D7)⋊C42
C7×#24372
#117402142
#117402102
Dic7×C22⋊Q82
#117395722
#117395532
C2×C22⋊C4×Dic72
#117354702
#117354622
#117347422
#117347392
#117347262
#117342312
#117342242
#117318982
#117318882
#117318642
#117318552
#117318252
#117318242
#117318222
#117313552
#117313352
#117313102
#117313072
#117312682
#117312632
#346707