Finite Group Databasebeta

← #13521576

Subgroups — #13521576

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×#90382C211yesmaximal, characteristic, complemented
2C2×C4×D4×D7C211yesmaximal, characteristic, complemented
3C7×#2460C211yesmaximal, characteristic, complemented
4#11740477C211yesmaximal, characteristic, complemented
5#11739815C211yesmaximal, characteristic, complemented
6#11735113C211yesmaximal, characteristic, complemented
7#11734903C211yesmaximal, characteristic, complemented
8#11734863C211yesmaximal, characteristic, complemented
9#11734726C211yesmaximal, characteristic, complemented
10#11734553C211yesmaximal, characteristic
11#11734551C211yesmaximal, characteristic, complemented
12#11734338C211yesmaximal, characteristic, complemented
13#11734336C211yesmaximal, characteristic, complemented
14#11732986C211yesmaximal, characteristic, complemented
15#11732971C211yesmaximal, characteristic, complemented
16#11732898C211yesmaximal, characteristic, complemented
17#11732897C211yesmaximal, characteristic, complemented
18#11732765C211yesmaximal, characteristic, complemented
19#11732760C211yesmaximal, characteristic, complemented
20#11732465C211yesmaximal, characteristic, complemented
21#11732386C211yesmaximal, characteristic, complemented
22#11732382C211yesmaximal, characteristic, complemented
23#11732382C211yesmaximal, characteristic, complemented
24#11732055C211yesmaximal, characteristic, complemented
25#11731879C211yesmaximal, characteristic, complemented
26#11731824C211yesmaximal, characteristic, complemented
27#11731824C211yesmaximal, characteristic, complemented
28#11731467C211yesmaximal, characteristic, complemented
29#11731307C211yesmaximal, characteristic, complemented
30#11731035C211yesmaximal, characteristic, complemented
31C4×D7×C22⋊C4C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C2×C7×#125C2211yescharacteristic, complemented
36C2×C4×C7×D4C2211yescharacteristic
37C2×D4×Dic7C2211yescharacteristic
38C2×C4×C22⋊D7C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40#90382—28no—
41C4×D4×D7—28no—
42C2×#6461C2211yescharacteristic, complemented
43C2×#6461C2211yescharacteristic, complemented
44C2×#6460C2211yescharacteristic, complemented
45C2×#6459C2211yescharacteristic
46C2×#6458C2211yescharacteristic
47C2×#6457C2211yescharacteristic
48C2×#6457C2211yescharacteristic, complemented
49C2×#6456C2211yescharacteristic
50C2×#6456C2211yescharacteristic
51C2×#6456C2211yescharacteristic, complemented
52C2×#6456C2211yescharacteristic, complemented
53C2×#6455C2211yescharacteristic, complemented
54C2×#6455C2211yescharacteristic, complemented
55C2×#6455C2211yescharacteristic, complemented
56C2×D7×C4⋊C4C2211yescharacteristic
57C2×#6450C2211yescharacteristic, complemented
58C2×#6447C2211yescharacteristic
59C2×#6446C2211yescharacteristic
60C2×#6445C2211yescharacteristic
61C2×#6445C2211yescharacteristic
62C2×(C22⋊D7)⋊C4C2211yescharacteristic
63C2×(C22⋊D7)⋊C4C2211yescharacteristic
64C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
65C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
66C2×D7×C22⋊C4C2211yescharacteristic
67C2×D7×C22⋊C4C2211yescharacteristic
68C2×D7×C22⋊C4C2211yescharacteristic
69C2×D7×C22⋊C4C2211yescharacteristic
70C2×#6438C2211yescharacteristic, complemented
71C2×C4×D28C2211yescharacteristic
72C2×C42×D7C2211yescharacteristic
73C2×C42×D7C2211yescharacteristic, complemented
74C2×C42×D7C2211yescharacteristic, complemented
75C7×#397C2211yescharacteristic, complemented
76C7×#396C2211yescharacteristic, complemented
77C7×#394C2211yescharacteristic
78C7×#394C2211yescharacteristic
79C7×#388C2211yescharacteristic, complemented
80C7×#388C2211yescharacteristic, complemented
81C7×#387C2211yescharacteristic, complemented
82C7×#387C2211yescharacteristic, complemented
83C7×#387C2211yescharacteristic, complemented
84C7×#385C2211yescharacteristic, complemented
85C7×#385C2211yescharacteristic, complemented
86C7×#380C2211yescharacteristic, complemented
87C4×C7×C22⋊C4C2211yescharacteristic, complemented
88#89995C2211yescharacteristic
89#89994C2211yescharacteristic
90#89985C2211yescharacteristic, complemented
91#89985C2211yescharacteristic, complemented
92#89984C2211yescharacteristic, complemented
93C4×C22⋊Dic7C2211yescharacteristic, complemented
94#89766C2211yescharacteristic, complemented
95#89763C2211yescharacteristic, complemented
96#89761C2211yescharacteristic
97#89761C2211yescharacteristic
98#89761C2211yescharacteristic
99#89761C2211yescharacteristic
100#89761C2211yescharacteristic, complemented
101#89761C2211yescharacteristic, complemented
102#89761C2211yescharacteristic, complemented
103#89761C2211yescharacteristic, complemented
104#89759C2211yescharacteristic
105#89759C2211yescharacteristic
106#89758C2211yescharacteristic, complemented
107#89756C2211yescharacteristic, complemented
108#89755C2211yescharacteristic, complemented
109#89753C2211yescharacteristic, complemented
110#89753C2211yescharacteristic, complemented
111#89752C2211yescharacteristic, complemented
112C4⋊C4×Dic7C2211yescharacteristic, complemented
113#89744C2211yescharacteristic, complemented
114#89733C2211yescharacteristic
115#89733C2211yescharacteristic, complemented
116#89732C2211yescharacteristic
117#89731C2211yescharacteristic
118#89731C2211yescharacteristic
119#89731C2211yescharacteristic, complemented
120#89731C2211yescharacteristic, complemented
121#89729C2211yescharacteristic, complemented
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89727C2211yescharacteristic
125#89727C2211yescharacteristic
126#89727C2211yescharacteristic
127#89727C2211yescharacteristic
128#89724C2211yescharacteristic, complemented
129#89724C2211yescharacteristic, complemented
130#89721C2211yescharacteristic, complemented
131#89720C2211yescharacteristic, complemented
132#89720C2211yescharacteristic, complemented
133#89719C2211yescharacteristic, complemented
134#89719C2211yescharacteristic, complemented
135#89716C2211yescharacteristic, complemented
136C22⋊C4×Dic7C2211yescharacteristic, complemented
137C22⋊C4×Dic7C2211yescharacteristic, complemented
138C22⋊C4×Dic7C2211yescharacteristic, complemented
139C22⋊C4×Dic7C2211yescharacteristic, complemented
140C22⋊C4×Dic7C2211yescharacteristic, complemented
141C22⋊C4×Dic7C2211yescharacteristic, complemented
142#89712C2211yescharacteristic, complemented
143#89712C2211yescharacteristic, complemented
144#89712C2211yescharacteristic, complemented
145C4×(C2×D7)⋊C4C2211yescharacteristic
146C4×(C2×D7)⋊C4C2211yescharacteristic
147#89705C2211yescharacteristic, complemented
148#89705C2211yescharacteristic, complemented
149#89447C2211yescharacteristic, complemented
150#89447C2211yescharacteristic, complemented
151#89447C2211yescharacteristic, complemented
152#89446C2211yescharacteristic, complemented
153#89441C2211yescharacteristic, complemented
154#89441C2211yescharacteristic, complemented
155#89440C2211yescharacteristic
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic, complemented
158#89439C2211yescharacteristic
159#89439C2211yescharacteristic, complemented
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic, complemented
164#89438C2211yescharacteristic, complemented
165#89438C2211yescharacteristic, complemented
166#89437C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89436C2211yescharacteristic, complemented
176#89436C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178D7×#95C2211yescharacteristic, complemented
179D7×#95C2211yescharacteristic, complemented
180#89431C2211yescharacteristic, complemented
181#89431C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89421C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#34670—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C2×D4×D7—24no—
202C2×D4×D7—24no—
203C2×D4×D7—24no—
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×C4×D7—24no—
209C22×C4×D7—24no—
210C22×C4×D7—24no—
211C22×C4×D7—24no—
212C22×C4×D7—42no—
213C22×C4×D7—42no—
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×Dic14C2311yescharacteristic
229C7×#125—24no—
230C4×C7×D4—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⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
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×C42×C7C2311yescharacteristic
251C2×C42×C7C2311yescharacteristic
252C2×C42×C7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261D4×Dic7—24no—
262C4×C22⋊D7—24no—
263C4×C22⋊D7—24no—
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×(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×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323#6461—24no—
324#6461—24no—
325#6460—24no—
326#6459—24no—
327#6458—24no—
328#6457—24no—
329#6457—24no—
330#6456—24no—
331#6456—24no—
332#6456—24no—
333#6456D418yescomplemented
334#6455—24no—
335#6455—24no—
336#6455—42no—
337D7×C4⋊C4—24no—
338#6450—24no—
339#6447—24no—
340#6446—24no—
341#6445—24no—
342#6445—24no—
343(C22⋊D7)⋊C4—24no—
344(C22⋊D7)⋊C4—24no—
345(C22⋊D7)⋊C4—42no—
346(C22⋊D7)⋊C4—42no—
347D7×C22⋊C4—24no—
348D7×C22⋊C4—24no—
349D7×C22⋊C4—24no—
350D7×C22⋊C4—24no—
351#6438—24no—
352C4×D28—24no—
353C42×D7—24no—
354C42×D7—24no—
355C42×D7—42no—
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#2460D711yescharacteristic, complemented
401#2459—71no—
402#2450—71no—
403#2444—71no—
404#2437—71no—
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×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C23×D7—22no—
426C23×D7—22no—
427C23×D7—22no—
428C23×D7—22no—
429C23×D7—22no—
430C23×D7—22no—
431C23×D7—22no—
432C23×D7—22no—
433C23×D7—22no—
434C23×D7—41no—
435C23×D7—41no—
436C23×D7—41no—
437C23×D7—41no—
438C23×D7#4114yes—
439C23×D7C2411yescharacteristic
440C23×D7C2411yescharacteristic
441C23×D7C2411yescharacteristic
442C23×D7C2411yescharacteristic
443C2×C7×D4—22no—
444C2×C7×D4—22no—
445C2×C7×D4—22no—
446C22×C4×C7—22no—
447C22×C4×C7—22no—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—41no—
451C22×C4×C7—41no—
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7#4114yes—
477C22×Dic7—22no—
478C22×Dic7—22no—
479C22×Dic7—22no—
480C22×Dic7—22no—
481C22×Dic7—22no—
482C22×Dic7—22no—
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495D4×D7—232no—
496C2×D28—22no—
497C2×D28—22no—
498C2×D28—22no—
499C2×D28—22no—
500C2×D28—22no—
501C2×D28—22no—
502C2×D28—22no—
503C2×D28—22no—
504C2×D28—22no—
505C2×D28—22no—
506C2×D28—41no—
507C2×D28C2×D414yes—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—22no—
512C2×C4×D7—22no—
513C2×C4×D7—22no—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×C4×D7—22no—
520C2×C4×D7—22no—
521C2×C4×D7—22no—
522C2×C4×D7—22no—
523C2×C4×D7—22no—
524C2×C4×D7—22no—
525C2×C4×D7—22no—
526C2×C4×D7—22no—
527C2×C4×D7—22no—
528C2×C4×D7—22no—
529C2×C4×D7—22no—
530C2×C4×D7—22no—
531C2×C4×D7—22no—
532C2×C4×D7—22no—
533C2×C4×D7—22no—
534C2×C4×D7—22no—
535C2×C4×D7—22no—
536C2×C4×D7—22no—
537C2×C4×D7—22no—
538C2×C4×D7—416no—
539C2×C4×D7—416no—
540C2×C4×D7—41no—
541C2×C4×D7—41no—
542C2×C4×D7—41no—
543C2×C4×D7—41no—
544C2×C4×D7—41no—
545C2×C4×D7—41no—
546C2×C4×D7—41no—
547C2×C4×D7—41no—
548C2×C4×D7—41no—
549C2×C4×D7C2×D414yes—
550C2×C4×D7C2×D414yes—
551C2×C4×D7#4114yes—
552C2×Dic14—22no—
553C2×Dic14—22no—
554C2×Dic14—41no—
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—22no—
562C7×C4⋊C4—41no—
563C7×C4⋊C4C2×D414yes—
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—41no—
573C7×C22⋊C4—41no—
574C42×C7—22no—
575C42×C7—22no—
576C42×C7—41no—
577C22⋊Dic7—22no—
578C22⋊Dic7—22no—
579C22⋊Dic7—22no—
580C22⋊Dic7—22no—
581C22⋊Dic7—22no—
582C22⋊Dic7—41no—
583C22⋊Dic7—41no—
584C22⋊Dic7—41no—
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—22no—
603(C2×D7)⋊C4—22no—
604(C2×D7)⋊C4—22no—
605(C2×D7)⋊C4—22no—
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)⋊C4—41no—
612(C2×D7)⋊C4C2×D414yes—
613(C2×D7)⋊C4C2×D414yes—
614(C2×D7)⋊C4#4114yes—
615C4⋊Dic7—22no—
616C4⋊Dic7—22no—
617C4⋊Dic7—22no—
618C4⋊Dic7—22no—
619C4⋊Dic7—41no—
620Dic7⋊C4—22no—
621Dic7⋊C4—22no—
622Dic7⋊C4—22no—
623Dic7⋊C4—22no—
624Dic7⋊C4—22no—
625Dic7⋊C4—22no—
626Dic7⋊C4—22no—
627Dic7⋊C4—22no—
628Dic7⋊C4—41no—
629Dic7⋊C4—41no—
630Dic7⋊C4—41no—
631Dic7⋊C4—41no—
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—22no—
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×#125C2×D711yescharacteristic, complemented
651C2×#124—71no—
652C2×#123—71no—
653C2×#123—71no—
654C2×#123—71no—
655C2×C22⋊Q8—71no—
656C2×C22⋊Q8—71no—
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—148no—
675C2×C4×D4C2×D711yescharacteristic
676C2×#117—71no—
677C2×#117—71no—
678C2×#117—71no—
679C22×C4⋊C4—71no—
680C22×C22⋊C4—71no—
681C22×C22⋊C4—71no—
682C22×C22⋊C4—71no—
683C22×C22⋊C4—71no—
684C22×C42—71no—
685C22×C42—71no—
686C22×C42—71no—
687#400—71no—
688#400—71no—
689#400—71no—
690#399—71no—
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#397C2×D711yescharacteristic, complemented
701#396—71no—
702#396—71no—
703#396—71no—
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#394C2×D711yescharacteristic
714#394C2×D711yescharacteristic
715#393—71no—
716#393—71no—
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#388C2×D711yescharacteristic, complemented
730#388C2×D711yescharacteristic, complemented
731#387—71no—
732#387—71no—
733#387—71no—
734#387—71no—
735#387—71no—
736#387C2×D711yescharacteristic, complemented
737#387C2×D711yescharacteristic, complemented
738#387C2×D711yescharacteristic, complemented
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#385—71no—
762#385—71no—
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#380—71no—
773#380C2×D711yescharacteristic, complemented
774#379—71no—
775#379—71no—
776#379—71no—
777#379—71no—
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⋊C4C2×D711yescharacteristic, complemented
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—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7C2×#4112yes—
814C23×C7C2×#4112yes—
815C23×C7C2511yescharacteristic
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—28no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—21no—
831C22×D7—28no—
832C22×D7—28no—
833C22×D7—21no—
834C22×D7—21no—
835C22×D7—21no—
836C22×D7—21no—
837C22×D7—21no—
838C22×D7—21no—
839C22×D7—21no—
840C22×D7—44no—
841C22×D7—44no—
842C22×D7—44no—
843C22×D7—44no—
844C22×D7—44no—
845C22×D7—44no—
846C22×D7—44no—
847C22×D7—44no—
848C22×D7—44no—
849C22×D7—44no—
850C22×D7—44no—
851C22×D7C22×D412yes—
852C22×D7C22×D412yes—
853C22×D7C2×#4112yes—
854C22×D7C2×#4112yes—
855C22×D7C2×#4112yes—
856C22×D7C2×#4112yes—
857C22×D7C2×#4112yes—
858C7×D4—28no—
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—21no—
892C2×C4×C7—21no—
893C2×C4×C7—44no—
894C2×C4×C7—44no—
895C2×C4×C7C22×D412yes—
896C2×C4×C7C22×D412yes—
897C2×C4×C7C22×D412yes—
898C2×C4×C7C2×#4112yes—
899C2×C4×C7C2×#4112yes—
900C22⋊D7—28no—
901C22⋊D7—28no—
902C22⋊D7—44no—
903C22⋊D7—44no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—21no—
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—21no—
916C2×Dic7—21no—
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—44no—
935C2×Dic7—44no—
936C2×Dic7C22×D412yes—
937C2×Dic7C22×D412yes—
938C2×Dic7C2×#4112yes—
939C2×Dic7C2×#4112yes—
940C2×Dic7C2×#4112yes—
941C2×Dic7H(5,𝔽2)12yes—
942D28—28no—
943D28—44no—
944D28—44no—
945D28—44no—
946C4×D7—28no—
947C4×D7—28no—
948C4×D7—28no—
949C4×D7—28no—
950C4×D7—44no—
951C4×D7—44no—
952C4×D7—44no—
953C4×D7—44no—
954C4×D7—44no—
955C4×D7—44no—
956C4×D7—44no—
957C4×D7—44no—
958C4×D7—44no—
959C4×D7—44no—
960Dic14—44no—
961C25—71no—
962C25—71no—
963C22×Q8—71no—
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—144no—
973C22×D4—144no—
974C22×D4—144no—
975C22×D4C22×D711yescharacteristic
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—71no—
991C23×C4—71no—
992C23×C4—144no—
993C23×C4—144no—
994C23×C4—144no—
995C23×C4—144no—
996C23×C4—282no—
997C23×C4—282no—
998C23×C4C22×D711yescharacteristic
999C23×C4C22×D711yescharacteristic
1000#126—144no—
1001#126—144no—
1002#125—24no—
1003#124—144no—
1004#123—144no—
1005#123—144no—
1006#123—144no—
1007C22⋊Q8—144no—
1008C22⋊Q8—144no—
1009#121—144no—
1010#121—144no—
1011#120—144no—
1012#120—144no—
1013C4×Q8—144no—
1014C4×D4—24no—
1015C4×D4—78no—
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—71no—
1058C2×C22⋊C4—71no—
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—71no—
1094C2×C22⋊C4—71no—
1095C2×C22⋊C4—144no—
1096C2×C22⋊C4—144no—
1097C2×C22⋊C4—144no—
1098C2×C22⋊C4—144no—
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—144no—
1122C2×C42—144no—
1123C2×C42—282no—
1124C2×C42C22×D711yescharacteristic
1125C2×C42C22×D711yescharacteristic
1126C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1154#95C22×D711yescharacteristic
1155#95C22×D711yescharacteristic
1156#95C22×D711yescharacteristic
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—41no—
1170C22×C7—41no—
1171C22×C7—41no—
1172C22×C7—41no—
1173C22×C7—41no—
1174C22×C7—41no—
1175C22×C7—41no—
1176C22×C7—41no—
1177C22×C7C23×D411yescharacteristic
1178C22×C7C22×#4111yescharacteristic
1179C22×C7C22×#4111yescharacteristic
1180C22×C7C22×#4111yescharacteristic
1181C22×C7C22×#4111yescharacteristic
1182C22×C7C2×H(5,𝔽2)11yescharacteristic
1183C22×C7#58511yescharacteristic
1184C2×D7—22no—
1185C2×D7—22no—
1186C2×D7—22no—
1187C2×D7—22no—
1188C2×D7—22no—
1189C2×D7—22no—
1190C2×D7—22no—
1191C2×D7—22no—
1192C2×D7—22no—
1193C2×D7—22no—
1194C2×D7—22no—
1195C2×D7—22no—
1196C2×D7—22no—
1197C2×D7—22no—
1198C2×D7—22no—
1199C2×D7—416no—
1200C2×D7—416no—
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#52514yes—
1213C2×D7#52914yescomplemented
1214C4×C7—22no—
1215C4×C7—22no—
1216C4×C7—22no—
1217C4×C7—22no—
1218C4×C7—22no—
1219C4×C7—41no—
1220C4×C7—41no—
1221C4×C7—41no—
1222C4×C7—41no—
1223C4×C7—41no—
1224C4×C7—41no—
1225C4×C7—41no—
1226C4×C7—41no—
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—71no—
1240C24—71no—
1241C24—71no—
1242C24—74no—
1243C24—71no—
1244C24—142no—
1245C24—142no—
1246C24—142no—
1247C24—142no—
1248C24—142no—
1249C24—142no—
1250C24—142no—
1251C24—142no—
1252C24—142no—
1253C24—281no—
1254C24—281no—
1255C24—281no—
1256C24—281no—
1257C24C23×D711yescharacteristic
1258C24C23×D711yescharacteristic
1259C2×Q8—142no—
1260C2×Q8—142no—
1261C2×Q8—281no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—74no—
1266C2×D4—74no—
1267C2×D4—142no—
1268C2×D4—142no—
1269C2×D4—142no—
1270C2×D4—142no—
1271C2×D4—142no—
1272C2×D4—142no—
1273C2×D4—142no—
1274C2×D4—142no—
1275C2×D4—142no—
1276C2×D4—142no—
1277C2×D4—142no—
1278C2×D4—1432no—
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—41no—
1295C22×C4—41no—
1296C22×C4—71no—
1297C22×C4—71no—
1298C22×C4—71no—
1299C22×C4—71no—
1300C22×C4—74no—
1301C22×C4—74no—
1302C22×C4—74no—
1303C22×C4—71no—
1304C22×C4—71no—
1305C22×C4—71no—
1306C22×C4—71no—
1307C22×C4—71no—
1308C22×C4—71no—
1309C22×C4—71no—
1310C22×C4—71no—
1311C22×C4—142no—
1312C22×C4—142no—
1313C22×C4—142no—
1314C22×C4—142no—
1315C22×C4—142no—
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—142no—
1344C22×C4—142no—
1345C22×C4—142no—
1346C22×C4—142no—
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—2816no—
1357C22×C4—2816no—
1358C22×C4C23×D711yescharacteristic
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—22no—
1378C4⋊C4—41no—
1379C4⋊C4—142no—
1380C4⋊C4—142no—
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—281no—
1392C4⋊C4—281no—
1393C4⋊C4—281no—
1394C4⋊C4—281no—
1395C4⋊C4—281no—
1396C4⋊C4D4×D714yes—
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—41no—
1406C22⋊C4—41no—
1407C22⋊C4—74no—
1408C22⋊C4—74no—
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—142no—
1435C22⋊C4—142no—
1436C22⋊C4—281no—
1437C22⋊C4—281no—
1438C22⋊C4—281no—
1439C22⋊C4—281no—
1440C22⋊C4—281no—
1441C22⋊C4—281no—
1442C22⋊C4—281no—
1443C22⋊C4—281no—
1444C22⋊C4—281no—
1445C42—22no—
1446C42—22no—
1447C42—41no—
1448C42—74no—
1449C42—142no—
1450C42—142no—
1451C42—142no—
1452C42—142no—
1453C42—142no—
1454C42—142no—
1455C42—142no—
1456C42—142no—
1457C42—142no—
1458C42—142no—
1459C42—281no—
1460C2×C7—42no—
1461C2×C7—42no—
1462C2×C7C2×#52511yescharacteristic
1463C2×C7C2×#52911yescharacteristic
1464C2×C7#345911yescharacteristic
1465C2×C7C2×#54611yescharacteristic
1466C2×C7D4×#4111yescharacteristic
1467C2×C7#347511yescharacteristic
1468C2×C7#348111yescharacteristic
1469D7—24no—
1470D7—24no—
1471D7—42no—
1472D7—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—72no—
1486C23—72no—
1487C23—72no—
1488C23—72no—
1489C23—72no—
1490C23—72no—
1491C23—72no—
1492C23—148no—
1493C23—148no—
1494C23—148no—
1495C23—141no—
1496C23—141no—
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—
1522C23—284no—
1523C23—284no—
1524C23—284no—
1525C23—284no—
1526C23—284no—
1527C23D7×#4112yes—
1528C23D7×#4112yes—
1529C23C24×D711yescharacteristic
1530Q8—284no—
1531D4—28no—
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—21no—
1573C2×C4—21no—
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—148no—
1583C2×C4—148no—
1584C2×C4—148no—
1585C2×C4—148no—
1586C2×C4—141no—
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—284no—
1617C2×C4—284no—
1618C2×C4—284no—
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×C4C2×D4×D712yes—
1629C2×C4C2×D4×D712yes—
1630C2×C4C2×D4×D712yes—
1631C2×C4D7×#4112yes—
1632C2×C4D7×#4112yes—
1633C7#3467011yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—74no—
1649C22—74no—
1650C22—142no—
1651C22—142no—
1652C22—142no—
1653C22—142no—
1654C22—142no—
1655C22—142no—
1656C22—142no—
1657C22—142no—
1658C22—142no—
1659C22—142no—
1660C22—142no—
1661C22—142no—
1662C22—142no—
1663C22—142no—
1664C22—142no—
1665C22—2816no—
1666C22—2816no—
1667C22—281no—
1668C22—281no—
1669C22—281no—
1670C22—281no—
1671C22—281no—
1672C22—281no—
1673C22—281no—
1674C22—281no—
1675C22—281no—
1676C22—281no—
1677C22—281no—
1678C22C22×D4×D711yescharacteristic
1679C22C2×D7×#4111yescharacteristic
1680C22C2×D7×#4111yescharacteristic
1681C22C2×D7×#4111yescharacteristic
1682C22C2×D7×#4111yescharacteristic
1683C22D7×H(5,𝔽2)11yescharacteristic
1684C22#9062011yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—74no—
1699C4—142no—
1700C4—142no—
1701C4—142no—
1702C4—281no—
1703C4—281no—
1704C4—281no—
1705C4—281no—
1706C4—281no—
1707C4—281no—
1708C4—281no—
1709C4—281no—
1710C2—42no—
1711C2—42no—
1712C2—144no—
1713C2—144no—
1714C2—282no—
1715C2—561no—
1716C2D7×#52511yescharacteristic
1717C2D7×#52911yescharacteristic
1718C2#1174349611yescharacteristic
1719C2D7×#54611yescharacteristic
1720C2#1174377811yescharacteristic
1721C2#1174389511yescharacteristic
1722C2#1174394411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2460C2
prime radical#11734553C2
hypercenter#2460D7
hypocenterC7#34670
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2460

Complements

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

NH ≅ G/Ntype
1. C2×#90382C2semidirect
2. C2×C4×D4×D7C2semidirect
3. C7×#2460C2semidirect
4. #11740477C2semidirect
5. #11739815C2semidirect
6. #11735113C2semidirect
7. #11734903C2semidirect
8. #11734863C2semidirect
9. #11734726C2semidirect
11. #11734551C2semidirect
12. #11734338C2semidirect
13. #11734336C2semidirect
14. #11732986C2semidirect
15. #11732971C2semidirect
16. #11732898C2semidirect
17. #11732897C2semidirect
18. #11732765C2semidirect
19. #11732760C2semidirect
20. #11732465C2semidirect
21. #11732386C2semidirect
22. #11732382C2semidirect
23. #11732382C2semidirect
24. #11732055C2semidirect
25. #11731879C2semidirect
26. #11731824C2semidirect
27. #11731824C2semidirect
28. #11731467C2semidirect
29. #11731307C2semidirect
30. #11731035C2semidirect
31. C4×D7×C22⋊C4C2semidirect
35. C2×C7×#125C22semidirect
42. C2×#6461C22semidirect
43. C2×#6461C22semidirect
44. C2×#6460C22semidirect
48. C2×#6457C22semidirect
51. C2×#6456C22semidirect
52. C2×#6456C22semidirect
53. C2×#6455C22semidirect
54. C2×#6455C22semidirect
55. C2×#6455C22semidirect
57. C2×#6450C22semidirect
64. C2×(C22⋊D7)⋊C4C22semidirect
65. C2×(C22⋊D7)⋊C4C22semidirect
70. C2×#6438C22semidirect
73. C2×C42×D7C22semidirect
74. C2×C42×D7C22semidirect
75. C7×#397C22semidirect
76. C7×#396C22semidirect
79. C7×#388C22semidirect
80. C7×#388C22semidirect
81. C7×#387C22semidirect
82. C7×#387C22semidirect
83. C7×#387C22semidirect
84. C7×#385C22semidirect
85. C7×#385C22semidirect
86. C7×#380C22semidirect
87. C4×C7×C22⋊C4C22semidirect
90. #89985C22semidirect
91. #89985C22semidirect
92. #89984C22semidirect
93. C4×C22⋊Dic7C22semidirect
94. #89766C22semidirect
95. #89763C22semidirect
100. #89761C22semidirect
101. #89761C22semidirect
102. #89761C22semidirect
103. #89761C22semidirect
106. #89758C22semidirect
107. #89756C22semidirect
108. #89755C22semidirect
109. #89753C22semidirect
110. #89753C22semidirect
111. #89752C22semidirect
112. C4⋊C4×Dic7C22semidirect
113. #89744C22semidirect
115. #89733C22semidirect
119. #89731C22semidirect
120. #89731C22semidirect
121. #89729C22semidirect
128. #89724C22semidirect
129. #89724C22semidirect
130. #89721C22semidirect
131. #89720C22semidirect
132. #89720C22semidirect
133. #89719C22semidirect
134. #89719C22semidirect
135. #89716C22semidirect
136. C22⋊C4×Dic7C22semidirect
137. C22⋊C4×Dic7C22semidirect
138. C22⋊C4×Dic7C22semidirect
139. C22⋊C4×Dic7C22semidirect
140. C22⋊C4×Dic7C22semidirect
141. C22⋊C4×Dic7C22semidirect
142. #89712C22semidirect
143. #89712C22semidirect
144. #89712C22semidirect
147. #89705C22semidirect
148. #89705C22semidirect
149. #89447C22semidirect
150. #89447C22semidirect
151. #89447C22semidirect
152. #89446C22semidirect
153. #89441C22semidirect
154. #89441C22semidirect
157. #89440C22semidirect
159. #89439C22semidirect
163. #89438C22semidirect
164. #89438C22semidirect
165. #89438C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89436C22semidirect
176. #89436C22semidirect
177. #89436C22semidirect
178. D7×#95C22semidirect
179. D7×#95C22semidirect
180. #89431C22semidirect
181. #89431C22semidirect
182. #89425C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89421C22semidirect
186. #89420C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
333. #6456D4semidirect
400. #2460D7semidirect
650. C2×#125C2×D7semidirect
700. #397C2×D7semidirect
704. #396C2×D7semidirect
729. #388C2×D7semidirect
730. #388C2×D7semidirect
736. #387C2×D7semidirect
737. #387C2×D7semidirect
738. #387C2×D7semidirect
763. #385C2×D7semidirect
764. #385C2×D7semidirect
773. #380C2×D7semidirect
797. C4×C22⋊C4C2×D7semidirect
1213. C2×D7#529semidirect
1633. C7#34670semidirect

Maximal subgroups

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

subgroupindex
C2×#903822
C2×C4×D4×D72
C7×#24602
#117404772
#117398152
#117351132
#117349032
#117348632
#117347262
#117345532
#117345512
#117343382
#117343362
#117329862
#117329712
#117328982
#117328972
#117327652
#117327602
#117324652
#117323862
#117323822
#117320552
#117318792
#117318242
#117314672
#117313072
#117310352
C4×D7×C22⋊C42
#346707