Finite Group Databasebeta

← #13526364

Subgroups — #13526364

Order 1792.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90344C211yesmaximal, characteristic
2C2×C4×D4×D7C211yesmaximal, characteristic, complemented
3C7×#2419C211yesmaximal, characteristic, complemented
4#11740289C211yesmaximal, characteristic, complemented
5#11739849C211yesmaximal, characteristic, complemented
6#11735804C211yesmaximal, characteristic, complemented
7#11735788C211yesmaximal, characteristic, complemented
8#11735408C211yesmaximal, characteristic, complemented
9#11735396C211yesmaximal, characteristic, complemented
10#11735130C211yesmaximal, characteristic, complemented
11#11735130C211yesmaximal, characteristic, complemented
12#11735119C211yesmaximal, characteristic, complemented
13#11735118C211yesmaximal, characteristic, complemented
14#11732892C211yesmaximal, characteristic, complemented
15#11732892C211yesmaximal, characteristic, complemented
16#11732765C211yesmaximal, characteristic, complemented
17#11732764C211yesmaximal, characteristic, complemented
18#11732336C211yesmaximal, characteristic, complemented
19#11732319C211yesmaximal, characteristic, complemented
20#11732101C211yesmaximal, characteristic, complemented
21#11732053C211yesmaximal, characteristic, complemented
22#11732048C211yesmaximal, characteristic, complemented
23D7×#385C211yesmaximal, characteristic, complemented
24#11731591C211yesmaximal, characteristic, complemented
25#11731573C211yesmaximal, characteristic, complemented
26#11731564C211yesmaximal, characteristic, complemented
27#11731510C211yesmaximal, characteristic, complemented
28#11731466C211yesmaximal, characteristic, complemented
29#11731450C211yesmaximal, characteristic, complemented
30#11730820C211yesmaximal, characteristic, complemented
31C2×#89437C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×D28C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C23×C4×D7C2211yescharacteristic, complemented
36C2×C7×#123C2211yescharacteristic
37C2×C4×C7×D4C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×D4×Dic7C2211yescharacteristic
40C2×#6492C2211yescharacteristic
41C2×#6492C2211yescharacteristic, complemented
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic, complemented
44C22×(C2×D7)⋊C4C2211yescharacteristic
45C22×(C2×D7)⋊C4C2211yescharacteristic, complemented
46C22×(C2×D7)⋊C4C2211yescharacteristic, complemented
47#90344—28no—
48C4×D4×D7—28no—
49C2×#6458C2211yescharacteristic
50C2×#6458C2211yescharacteristic
51C2×#6457C2211yescharacteristic
52C2×#6457C2211yescharacteristic
53C2×#6457C2211yescharacteristic, complemented
54C2×#6457C2211yescharacteristic, complemented
55C2×#6456C2211yescharacteristic, complemented
56C2×D7×C4⋊C4C2211yescharacteristic, complemented
57C2×D7×C4⋊C4C2211yescharacteristic, complemented
58C2×D7×C4⋊C4C2211yescharacteristic, complemented
59C2×#6449C2211yescharacteristic, complemented
60C2×#6447C2211yescharacteristic
61C2×#6447C2211yescharacteristic
62C2×#6445C2211yescharacteristic
63C2×#6445C2211yescharacteristic
64C2×#6445C2211yescharacteristic
65C2×(C22⋊D7)⋊C4C2211yescharacteristic
66C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
67C2×D7×C22⋊C4C2211yescharacteristic
68C2×D7×C22⋊C4C2211yescharacteristic
69C2×D7×C22⋊C4C2211yescharacteristic
70C2×D7×C22⋊C4C2211yescharacteristic, complemented
71C2×C4×D28C2211yescharacteristic, complemented
72C2×C42×D7C2211yescharacteristic, complemented
73C7×#400C2211yescharacteristic, complemented
74C7×#398C2211yescharacteristic, complemented
75C7×#397C2211yescharacteristic, complemented
76C7×#397C2211yescharacteristic, complemented
77C7×#387C2211yescharacteristic, complemented
78C7×#387C2211yescharacteristic, complemented
79C7×#386C2211yescharacteristic
80C7×#385C2211yescharacteristic, complemented
81C7×#385C2211yescharacteristic, complemented
82C7×#381C2211yescharacteristic, complemented
83C7×#381C2211yescharacteristic, complemented
84C7×#380C2211yescharacteristic, complemented
85C2×C7×#95C2211yescharacteristic, complemented
86#89992C2211yescharacteristic
87#89985C2211yescharacteristic
88#89985C2211yescharacteristic, complemented
89#89984C2211yescharacteristic, complemented
90#89983C2211yescharacteristic, complemented
91#89982C2211yescharacteristic, complemented
92C2×C7⋊#95C2211yescharacteristic, complemented
93#89765C2211yescharacteristic, complemented
94#89764C2211yescharacteristic, complemented
95#89764C2211yescharacteristic, complemented
96#89764C2211yescharacteristic, complemented
97#89763C2211yescharacteristic, complemented
98#89763C2211yescharacteristic, complemented
99#89762C2211yescharacteristic, complemented
100#89762C2211yescharacteristic, complemented
101#89761C2211yescharacteristic, complemented
102#89761C2211yescharacteristic, complemented
103#89761C2211yescharacteristic, complemented
104#89761C2211yescharacteristic, complemented
105#89761C2211yescharacteristic, complemented
106#89761C2211yescharacteristic, complemented
107#89758C2211yescharacteristic, complemented
108#89755C2211yescharacteristic, complemented
109#89750C2211yescharacteristic, complemented
110#89750C2211yescharacteristic, complemented
111#89733C2211yescharacteristic, complemented
112#89733C2211yescharacteristic, complemented
113#89731C2211yescharacteristic, complemented
114#89731C2211yescharacteristic, complemented
115#89730C2211yescharacteristic
116#89730C2211yescharacteristic, complemented
117#89728C2211yescharacteristic, complemented
118#89728C2211yescharacteristic, complemented
119#89727C2211yescharacteristic, complemented
120#89727C2211yescharacteristic, complemented
121#89727C2211yescharacteristic, complemented
122#89727C2211yescharacteristic, complemented
123#89724C2211yescharacteristic, complemented
124#89724C2211yescharacteristic, complemented
125#89722C2211yescharacteristic, complemented
126#89718C2211yescharacteristic, complemented
127#89718C2211yescharacteristic, complemented
128#89715C2211yescharacteristic, complemented
129#89714C2211yescharacteristic, complemented
130#89714C2211yescharacteristic, complemented
131#89712C2211yescharacteristic, complemented
132#89712C2211yescharacteristic, complemented
133#89449C2211yescharacteristic, complemented
134#89447C2211yescharacteristic, complemented
135#89447C2211yescharacteristic, complemented
136#89447C2211yescharacteristic, complemented
137#89447C2211yescharacteristic, complemented
138#89446C2211yescharacteristic, complemented
139#89446C2211yescharacteristic, complemented
140#89446C2211yescharacteristic, complemented
141#89444C2211yescharacteristic, complemented
142#89444C2211yescharacteristic, complemented
143#89442C2211yescharacteristic, complemented
144#89442C2211yescharacteristic, complemented
145#89441C2211yescharacteristic, complemented
146#89441C2211yescharacteristic, complemented
147#89440C2211yescharacteristic, complemented
148#89440C2211yescharacteristic, complemented
149#89440C2211yescharacteristic, complemented
150#89440C2211yescharacteristic, complemented
151#89440C2211yescharacteristic, complemented
152#89440C2211yescharacteristic, complemented
153#89440C2211yescharacteristic, complemented
154#89440C2211yescharacteristic, complemented
155#89437C2211yescharacteristic
156#89437C2211yescharacteristic
157#89437C2211yescharacteristic
158#89437C2211yescharacteristic
159#89437C2211yescharacteristic
160#89437C2211yescharacteristic
161#89437C2211yescharacteristic
162#89437C2211yescharacteristic
163#89437C2211yescharacteristic, complemented
164#89437C2211yescharacteristic, complemented
165#89437C2211yescharacteristic, complemented
166#89437C2211yescharacteristic, complemented
167#89437C2211yescharacteristic, complemented
168#89437C2211yescharacteristic, complemented
169#89437C2211yescharacteristic, complemented
170#89437C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89436C2211yescharacteristic, complemented
176#89436C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179D7×#95C2211yescharacteristic, complemented
180D7×#95C2211yescharacteristic, complemented
181#89430C2211yescharacteristic, complemented
182#89430C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89429C2211yescharacteristic, complemented
185#89426C2211yescharacteristic, complemented
186#89426C2211yescharacteristic, complemented
187#89424C2211yescharacteristic, complemented
188#89424C2211yescharacteristic, complemented
189#34983—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C24×D7C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C2×D4×D7—24no—
206C2×D4×D7—24no—
207C2×D4×D7D418yes—
208C22×D28—24no—
209C22×D28—24no—
210C22×D28—24no—
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×D28C2311yescharacteristic
216C22×D28C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×C4×D7—24no—
219C22×C4×D7—24no—
220C22×C4×D7—42no—
221C22×C4×D7—42no—
222C22×C4×D7—42no—
223C22×C4×D7—42no—
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×C4×D7C2311yescharacteristic
233C22×C4×D7C2311yescharacteristic
234C22×C4×D7C2311yescharacteristic
235C22×C4×D7C2311yescharacteristic
236C22×C4×D7C2311yescharacteristic
237C7×#123—24no—
238C4×C7×D4—24no—
239C2×C7×C4⋊C4C2311yescharacteristic
240C2×C7×C4⋊C4C2311yescharacteristic
241C2×C7×C4⋊C4C2311yescharacteristic
242C2×C7×C4⋊C4C2311yescharacteristic
243C2×C7×C4⋊C4C2311yescharacteristic
244C2×C7×C4⋊C4C2311yescharacteristic
245C2×C7×C4⋊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×C42×C7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261#6500—24no—
262D4×Dic7—24no—
263#6492—24no—
264#6492—42no—
265C4×C22⋊D7—24no—
266C4×C22⋊D7—24no—
267C2×(C2×D7)⋊C4—24no—
268C2×(C2×D7)⋊C4—42no—
269C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×(C2×D7)⋊C4C2311yescharacteristic
304C2×(C2×D7)⋊C4C2311yescharacteristic
305C2×(C2×D7)⋊C4C2311yescharacteristic
306C2×(C2×D7)⋊C4C2311yescharacteristic
307C2×(C2×D7)⋊C4C2311yescharacteristic
308C2×C4⋊Dic7C2311yescharacteristic
309C2×C4⋊Dic7C2311yescharacteristic
310C2×C4⋊Dic7C2311yescharacteristic
311C2×C4⋊Dic7C2311yescharacteristic
312C2×C4⋊Dic7C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328#6458—24no—
329#6458—24no—
330#6457—24no—
331#6457—24no—
332#6457—42no—
333#6457—42no—
334#6456—24no—
335D7×C4⋊C4—24no—
336D7×C4⋊C4—42no—
337D7×C4⋊C4—42no—
338#6449—42no—
339#6447—24no—
340#6447—24no—
341#6445—24no—
342#6445—24no—
343#6445—24no—
344(C22⋊D7)⋊C4—24no—
345(C22⋊D7)⋊C4—24no—
346D7×C22⋊C4—24no—
347D7×C22⋊C4—24no—
348D7×C22⋊C4—24no—
349D7×C22⋊C4—24no—
350C4×D28—24no—
351C42×D7—24no—
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
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#534—71no—
393C22×C4×D4—71no—
394#2853—71no—
395#2853—71no—
396#2849—71no—
397#2849—71no—
398#2623—71no—
399#2623—71no—
400#2622—71no—
401#2622—71no—
402#2444—71no—
403#2444—71no—
404#2444—71no—
405#2444—71no—
406#2443—71no—
407#2443—71no—
408#2443—71no—
409#2443—71no—
410#2419—71no—
411#2419—71no—
412#2419—71no—
413#2419D711yescharacteristic, complemented
414#2418—71no—
415#2418—71no—
416#2418—71no—
417#2418—71no—
418#2315—71no—
419#2308—71no—
420#2308—71no—
421C2×#386—71no—
422C2×#385—71no—
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C23×D7—22no—
426C23×D7—22no—
427C23×D7—22no—
428C23×D7—22no—
429C23×D7—22no—
430C23×D7—41no—
431C23×D7—41no—
432C23×D7—41no—
433C23×D7—41no—
434C23×D7—41no—
435C23×D7—41no—
436C23×D7—41no—
437C23×D7—41no—
438C23×D7—41no—
439C23×D7—41no—
440C23×D7—41no—
441C23×D7—41no—
442C23×D7C2×D414yes—
443C23×D7C2×D414yes—
444C23×D7#4114yes—
445C23×D7#4114yes—
446C23×D7C2411yescharacteristic
447C23×D7C2411yescharacteristic
448C23×D7C2411yescharacteristic
449C23×D7C2411yescharacteristic
450C23×D7C2411yescharacteristic
451C2×C7×D4—22no—
452C2×C7×D4—22no—
453C2×C7×D4C2×D414yes—
454C22×C4×C7—22no—
455C22×C4×C7—22no—
456C22×C4×C7—22no—
457C22×C4×C7—22no—
458C22×C4×C7—22no—
459C22×C4×C7—22no—
460C22×C4×C7—22no—
461C22×C4×C7—22no—
462C22×C4×C7—41no—
463C22×C4×C7—41no—
464C22×C4×C7—41no—
465C22×C4×C7—41no—
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C22×C4×C7C2411yescharacteristic
472C22×C4×C7C2411yescharacteristic
473C22×C4×C7C2411yescharacteristic
474C22×C4×C7C2411yescharacteristic
475C22×C4×C7C2411yescharacteristic
476C22×C4×C7C2411yescharacteristic
477C22×C4×C7C2411yescharacteristic
478C22×C4×C7C2411yescharacteristic
479C2×C22⋊D7—22no—
480C2×C22⋊D7—22no—
481C2×C22⋊D7—22no—
482C2×C22⋊D7—22no—
483C2×C22⋊D7—22no—
484C2×C22⋊D7—22no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7—41no—
487C2×C22⋊D7—41no—
488C2×C22⋊D7—41no—
489C2×C22⋊D7C2×D414yes—
490C2×C22⋊D7C2×D414yes—
491C22×Dic7—22no—
492C22×Dic7—22no—
493C22×Dic7—22no—
494C22×Dic7—22no—
495C22×Dic7—22no—
496C22×Dic7—41no—
497C22×Dic7—41no—
498C22×Dic7—41no—
499C22×Dic7—41no—
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511D4×D7—232no—
512C2×D28—22no—
513C2×D28—22no—
514C2×D28—22no—
515C2×D28—22no—
516C2×D28—22no—
517C2×D28—22no—
518C2×D28—22no—
519C2×D28—22no—
520C2×D28—22no—
521C2×D28—22no—
522C2×D28—22no—
523C2×D28—22no—
524C2×D28—22no—
525C2×D28—22no—
526C2×D28—22no—
527C2×D28—22no—
528C2×D28—416no—
529C2×D28—41no—
530C2×D28—41no—
531C2×D28—41no—
532C2×D28—41no—
533C2×D28C2×D414yes—
534C2×C4×D7—22no—
535C2×C4×D7—22no—
536C2×C4×D7—22no—
537C2×C4×D7—22no—
538C2×C4×D7—22no—
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—22no—
552C2×C4×D7—22no—
553C2×C4×D7—22no—
554C2×C4×D7—416no—
555C2×C4×D7—416no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×C4×D7—41no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
561C2×C4×D7—41no—
562C2×C4×D7—41no—
563C2×C4×D7—41no—
564C2×C4×D7—41no—
565C2×C4×D7—41no—
566C2×C4×D7—41no—
567C2×C4×D7—41no—
568C2×C4×D7—41no—
569C2×C4×D7—41no—
570C2×C4×D7—41no—
571C2×C4×D7—41no—
572C2×C4×D7—41no—
573C2×C4×D7—41no—
574C2×C4×D7C2×D414yes—
575C7×C4⋊C4—22no—
576C7×C4⋊C4—22no—
577C7×C4⋊C4—22no—
578C7×C4⋊C4—22no—
579C7×C4⋊C4—41no—
580C7×C4⋊C4—41no—
581C7×C4⋊C4—41no—
582C7×C22⋊C4—22no—
583C7×C22⋊C4—22no—
584C7×C22⋊C4—22no—
585C7×C22⋊C4—22no—
586C7×C22⋊C4—22no—
587C7×C22⋊C4—22no—
588C7×C22⋊C4—41no—
589C7×C22⋊C4—41no—
590C42×C7—22no—
591C22⋊Dic7—22no—
592C22⋊Dic7—22no—
593C22⋊Dic7—22no—
594C22⋊Dic7—22no—
595C22⋊Dic7—41no—
596C22⋊Dic7—41no—
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—22no—
607(C2×D7)⋊C4—22no—
608(C2×D7)⋊C4—22no—
609(C2×D7)⋊C4—22no—
610(C2×D7)⋊C4—22no—
611(C2×D7)⋊C4—22no—
612(C2×D7)⋊C4—22no—
613(C2×D7)⋊C4—22no—
614(C2×D7)⋊C4—22no—
615(C2×D7)⋊C4—22no—
616(C2×D7)⋊C4—22no—
617(C2×D7)⋊C4—22no—
618(C2×D7)⋊C4—22no—
619(C2×D7)⋊C4—41no—
620(C2×D7)⋊C4—41no—
621(C2×D7)⋊C4—41no—
622(C2×D7)⋊C4—41no—
623(C2×D7)⋊C4—41no—
624(C2×D7)⋊C4—41no—
625(C2×D7)⋊C4—41no—
626(C2×D7)⋊C4—41no—
627(C2×D7)⋊C4—41no—
628(C2×D7)⋊C4—41no—
629(C2×D7)⋊C4—41no—
630(C2×D7)⋊C4—41no—
631(C2×D7)⋊C4—41no—
632(C2×D7)⋊C4—41no—
633(C2×D7)⋊C4—41no—
634(C2×D7)⋊C4—41no—
635C4⋊Dic7—22no—
636C4⋊Dic7—22no—
637C4⋊Dic7—41no—
638C4⋊Dic7—41no—
639C4⋊Dic7—41no—
640Dic7⋊C4—22no—
641Dic7⋊C4—22no—
642Dic7⋊C4—22no—
643Dic7⋊C4—22no—
644Dic7⋊C4—22no—
645Dic7⋊C4—22no—
646Dic7⋊C4—41no—
647Dic7⋊C4—41no—
648Dic7⋊C4—41no—
649Dic7⋊C4—41no—
650Dic7⋊C4—41no—
651Dic7⋊C4—41no—
652C4×Dic7—22no—
653C4×Dic7—22no—
654C4×Dic7—22no—
655C23×D4—71no—
656C23×D4—71no—
657C24×C4—71no—
658C24×C4—71no—
659#534—148no—
660C2×#123—71no—
661C2×#123—71no—
662C2×#123—71no—
663C2×#123—71no—
664C2×#123—71no—
665C2×#123—71no—
666C2×#123—71no—
667C2×#123C2×D711yescharacteristic
668C2×#121—71no—
669C2×#121—71no—
670C2×#121—71no—
671C2×#121—71no—
672C2×#120—71no—
673C2×#120—71no—
674C2×#120—71no—
675C2×#120—71no—
676C2×C4×D4—71no—
677C2×C4×D4—71no—
678C2×C4×D4—71no—
679C2×C4×D4—71no—
680C2×C4×D4—71no—
681C2×C4×D4—71no—
682C2×C4×D4—71no—
683C2×C4×D4—148no—
684C2×C4×D4C2×D711yescharacteristic
685C22×C4⋊C4—71no—
686C22×C4⋊C4—71no—
687C22×C4⋊C4—71no—
688C22×C22⋊C4—71no—
689C22×C22⋊C4—71no—
690C22×C22⋊C4—71no—
691C22×C22⋊C4—71no—
692C22×C22⋊C4—71no—
693C22×C22⋊C4—71no—
694C22×C22⋊C4—71no—
695C22×C42—71no—
696#400—71no—
697#400—71no—
698#400—71no—
699#400C2×D711yescharacteristic, complemented
700#399—71no—
701#399—71no—
702#399—71no—
703#399—71no—
704#398—71no—
705#398—71no—
706#398—71no—
707#398C2×D711yescharacteristic, complemented
708#397—71no—
709#397—71no—
710#397—71no—
711#397—71no—
712#397—71no—
713#397—71no—
714#397—71no—
715#397—71no—
716#397—71no—
717#397—71no—
718#397C2×D711yescharacteristic, complemented
719#397C2×D711yescharacteristic, complemented
720#394—71no—
721#394—71no—
722#394—71no—
723#394—71no—
724#394—71no—
725#394—71no—
726#394—71no—
727#394—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#387—71no—
737#387—71no—
738#387—71no—
739#387—71no—
740#387—71no—
741#387—71no—
742#387C2×D711yescharacteristic, complemented
743#387C2×D711yescharacteristic, complemented
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#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386—71no—
757#386—71no—
758#386—71no—
759#386—71no—
760#386—71no—
761#386—71no—
762#386—71no—
763#386—71no—
764#386—71no—
765#386—71no—
766#386—71no—
767#386—71no—
768#386—71no—
769#386—71no—
770#386—71no—
771#386C2×D711yescharacteristic
772#385—71no—
773#385—71no—
774#385—71no—
775#385—71no—
776#385—71no—
777#385—71no—
778#385—71no—
779#385—71no—
780#385—71no—
781#385—71no—
782#385—71no—
783#385—71no—
784#385—71no—
785#385—71no—
786#385—71no—
787#385—71no—
788#385—71no—
789#385—71no—
790#385C2×D711yescharacteristic, complemented
791#385C2×D711yescharacteristic, complemented
792#381—71no—
793#381—71no—
794#381—71no—
795#381—71no—
796#381—71no—
797#381—71no—
798#381C2×D711yescharacteristic, complemented
799#381C2×D711yescharacteristic, complemented
800#380—71no—
801#380—71no—
802#380—71no—
803#380C2×D711yescharacteristic, complemented
804#379—71no—
805#379—71no—
806#379—71no—
807#379—71no—
808C2×#95—71no—
809C2×#95—71no—
810C2×#95—71no—
811C2×#95C2×D711yescharacteristic, complemented
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—21no—
818C23×C7—21no—
819C23×C7—21no—
820C23×C7—21no—
821C23×C7—21no—
822C23×C7C22×D412yes—
823C23×C7C22×D412yes—
824C23×C7C2×#4112yes—
825C23×C7C2×#4112yes—
826C23×C7C2511yescharacteristic
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—21no—
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—28no—
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—21no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
855C22×D7—21no—
856C22×D7—44no—
857C22×D7—44no—
858C22×D7—44no—
859C22×D7—44no—
860C22×D7—44no—
861C22×D7—44no—
862C22×D7—44no—
863C22×D7—44no—
864C22×D7—44no—
865C22×D7—44no—
866C22×D7—44no—
867C22×D7—44no—
868C22×D7—44no—
869C22×D7—44no—
870C22×D7—44no—
871C22×D7—82no—
872C22×D7—82no—
873C22×D7—82no—
874C22×D7—82no—
875C22×D7#123116yescomplemented
876C22×D7C22×D412yes—
877C22×D7C22×D412yes—
878C22×D7C22×D412yes—
879C22×D7C2×#4112yes—
880C22×D7C2×#4112yes—
881C22×D7C2×#4112yes—
882C22×D7C2×#4112yes—
883C7×D4—28no—
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—21no—
894C2×C4×C7—21no—
895C2×C4×C7—21no—
896C2×C4×C7—21no—
897C2×C4×C7—21no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—21no—
901C2×C4×C7—21no—
902C2×C4×C7—21no—
903C2×C4×C7—21no—
904C2×C4×C7—21no—
905C2×C4×C7—21no—
906C2×C4×C7—21no—
907C2×C4×C7—21no—
908C2×C4×C7—21no—
909C2×C4×C7—21no—
910C2×C4×C7—21no—
911C2×C4×C7—21no—
912C2×C4×C7—21no—
913C2×C4×C7—21no—
914C2×C4×C7—21no—
915C2×C4×C7—21no—
916C2×C4×C7—21no—
917C2×C4×C7—21no—
918C2×C4×C7—21no—
919C2×C4×C7—21no—
920C2×C4×C7—21no—
921C2×C4×C7—44no—
922C2×C4×C7—44no—
923C2×C4×C7—44no—
924C2×C4×C7—82no—
925C2×C4×C7C22×D412yes—
926C2×C4×C7H(5,𝔽2)12yes—
927C22⋊D7—28no—
928C22⋊D7—28no—
929C22⋊D7—82no—
930C22⋊D7—82no—
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—21no—
942C2×Dic7—21no—
943C2×Dic7—21no—
944C2×Dic7—21no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—44no—
963C2×Dic7—44no—
964C2×Dic7—82no—
965C2×Dic7C22×D412yes—
966C2×Dic7H(5,𝔽2)12yes—
967D28—28no—
968D28—44no—
969D28—44no—
970D28—44no—
971D28—44no—
972D28—82no—
973D28—82no—
974C4×D7—28no—
975C4×D7—28no—
976C4×D7—44no—
977C4×D7—44no—
978C4×D7—44no—
979C4×D7—44no—
980C4×D7—44no—
981C4×D7—44no—
982C4×D7—44no—
983C4×D7—44no—
984C4×D7—44no—
985C4×D7—82no—
986C4×D7—82no—
987C25—71no—
988C25—71no—
989C25—71no—
990C22×D4—71no—
991C22×D4—71no—
992C22×D4—78no—
993C22×D4—71no—
994C22×D4—71no—
995C22×D4—71no—
996C22×D4—71no—
997C22×D4—71no—
998C22×D4—71no—
999C22×D4—71no—
1000C22×D4—71no—
1001C22×D4—71no—
1002C22×D4—144no—
1003C22×D4—144no—
1004C22×D4—144no—
1005C22×D4—144no—
1006C22×D4—144no—
1007C22×D4C22×D711yescharacteristic
1008C23×C4—71no—
1009C23×C4—71no—
1010C23×C4—71no—
1011C23×C4—71no—
1012C23×C4—71no—
1013C23×C4—71no—
1014C23×C4—71no—
1015C23×C4—71no—
1016C23×C4—71no—
1017C23×C4—71no—
1018C23×C4—71no—
1019C23×C4—71no—
1020C23×C4—71no—
1021C23×C4—71no—
1022C23×C4—71no—
1023C23×C4—71no—
1024C23×C4—144no—
1025C23×C4—144no—
1026C23×C4—282no—
1027C23×C4—282no—
1028C23×C4—282no—
1029C23×C4—282no—
1030C23×C4C22×D711yescharacteristic
1031C23×C4C22×D711yescharacteristic
1032C23×C4C22×D711yescharacteristic
1033C23×C4C22×D711yescharacteristic
1034#123—24no—
1035#123—144no—
1036#123—144no—
1037#123—144no—
1038#123—282no—
1039#123—282no—
1040#123—282no—
1041#123—282no—
1042#121—144no—
1043#121—144no—
1044#121—144no—
1045#121—144no—
1046#120—144no—
1047#120—144no—
1048#120—144no—
1049#120—144no—
1050C4×D4—24no—
1051C4×D4—144no—
1052C4×D4—144no—
1053C4×D4—144no—
1054C4×D4—144no—
1055C4×D4—144no—
1056C4×D4—144no—
1057C4×D4—144no—
1058C2×C4⋊C4—71no—
1059C2×C4⋊C4—71no—
1060C2×C4⋊C4—71no—
1061C2×C4⋊C4—71no—
1062C2×C4⋊C4—71no—
1063C2×C4⋊C4—71no—
1064C2×C4⋊C4—71no—
1065C2×C4⋊C4—71no—
1066C2×C4⋊C4—71no—
1067C2×C4⋊C4—71no—
1068C2×C4⋊C4—71no—
1069C2×C4⋊C4—71no—
1070C2×C4⋊C4—71no—
1071C2×C4⋊C4—71no—
1072C2×C4⋊C4—71no—
1073C2×C4⋊C4—71no—
1074C2×C4⋊C4—71no—
1075C2×C4⋊C4—144no—
1076C2×C4⋊C4—282no—
1077C2×C4⋊C4—282no—
1078C2×C4⋊C4C22×D711yescharacteristic
1079C2×C4⋊C4C22×D711yescharacteristic
1080C2×C4⋊C4C22×D711yescharacteristic
1081C2×C4⋊C4C22×D711yescharacteristic
1082C2×C4⋊C4C22×D711yescharacteristic
1083C2×C4⋊C4C22×D711yescharacteristic
1084C2×C4⋊C4C22×D711yescharacteristic
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—71no—
1096C2×C22⋊C4—71no—
1097C2×C22⋊C4—71no—
1098C2×C22⋊C4—71no—
1099C2×C22⋊C4—71no—
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—71no—
1103C2×C22⋊C4—71no—
1104C2×C22⋊C4—71no—
1105C2×C22⋊C4—71no—
1106C2×C22⋊C4—71no—
1107C2×C22⋊C4—71no—
1108C2×C22⋊C4—71no—
1109C2×C22⋊C4—71no—
1110C2×C22⋊C4—71no—
1111C2×C22⋊C4—71no—
1112C2×C22⋊C4—71no—
1113C2×C22⋊C4—71no—
1114C2×C22⋊C4—71no—
1115C2×C22⋊C4—71no—
1116C2×C22⋊C4—71no—
1117C2×C22⋊C4—71no—
1118C2×C22⋊C4—71no—
1119C2×C22⋊C4—71no—
1120C2×C22⋊C4—71no—
1121C2×C22⋊C4—71no—
1122C2×C22⋊C4—71no—
1123C2×C22⋊C4—71no—
1124C2×C22⋊C4—71no—
1125C2×C22⋊C4—71no—
1126C2×C22⋊C4—71no—
1127C2×C22⋊C4—71no—
1128C2×C22⋊C4—71no—
1129C2×C22⋊C4—144no—
1130C2×C22⋊C4—144no—
1131C2×C22⋊C4—144no—
1132C2×C22⋊C4—144no—
1133C2×C22⋊C4—144no—
1134C2×C22⋊C4—282no—
1135C2×C22⋊C4—282no—
1136C2×C22⋊C4C22×D711yescharacteristic
1137C2×C22⋊C4C22×D711yescharacteristic
1138C2×C22⋊C4C22×D711yescharacteristic
1139C2×C22⋊C4C22×D711yescharacteristic
1140C2×C22⋊C4C22×D711yescharacteristic
1141C2×C22⋊C4C22×D711yescharacteristic
1142C2×C22⋊C4C22×D711yescharacteristic
1143C2×C22⋊C4C22×D711yescharacteristic
1144C2×C42—71no—
1145C2×C42—71no—
1146C2×C42—71no—
1147C2×C42—144no—
1148C2×C42C22×D711yescharacteristic
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#95—71no—
1158#95—71no—
1159#95—71no—
1160#95—71no—
1161#95—71no—
1162#95—71no—
1163#95—71no—
1164#95—71no—
1165#95—71no—
1166#95—71no—
1167#95—71no—
1168#95—71no—
1169#95—71no—
1170#95—71no—
1171#95—71no—
1172#95—71no—
1173#95—71no—
1174#95—71no—
1175#95C22×D711yescharacteristic
1176#95C22×D711yescharacteristic
1177#95C22×D711yescharacteristic
1178#95C22×D711yescharacteristic
1179#95C22×D711yescharacteristic
1180#95C22×D711yescharacteristic
1181#95C22×D711yescharacteristic
1182#95C22×D711yescharacteristic
1183#95C22×D711yescharacteristic
1184#95C22×D711yescharacteristic
1185#95C22×D711yescharacteristic
1186#95C22×D711yescharacteristic
1187#95C22×D711yescharacteristic
1188#95C22×D711yescharacteristic
1189C22×C7—22no—
1190C22×C7—22no—
1191C22×C7—22no—
1192C22×C7—22no—
1193C22×C7—22no—
1194C22×C7—22no—
1195C22×C7—22no—
1196C22×C7—22no—
1197C22×C7—22no—
1198C22×C7—41no—
1199C22×C7—41no—
1200C22×C7—41no—
1201C22×C7—41no—
1202C22×C7C2×#12314yes—
1203C22×C7C23×D411yescharacteristic
1204C22×C7C22×#4111yescharacteristic
1205C22×C7C22×#4111yescharacteristic
1206C22×C7C2×H(5,𝔽2)11yescharacteristic
1207C22×C7C2×H(5,𝔽2)11yescharacteristic
1208C22×C7#58511yescharacteristic
1209C22×C7#58511yescharacteristic
1210C2×D7—22no—
1211C2×D7—22no—
1212C2×D7—22no—
1213C2×D7—22no—
1214C2×D7—22no—
1215C2×D7—22no—
1216C2×D7—22no—
1217C2×D7—22no—
1218C2×D7—22no—
1219C2×D7—22no—
1220C2×D7—22no—
1221C2×D7—22no—
1222C2×D7—22no—
1223C2×D7—22no—
1224C2×D7—22no—
1225C2×D7—416no—
1226C2×D7—416no—
1227C2×D7—41no—
1228C2×D7—41no—
1229C2×D7—41no—
1230C2×D7—41no—
1231C2×D7—41no—
1232C2×D7—41no—
1233C2×D7—41no—
1234C2×D7—41no—
1235C2×D7—41no—
1236C2×D7—41no—
1237C2×D7—41no—
1238C2×D7—41no—
1239C2×D7—41no—
1240C2×D7—41no—
1241C2×D7—41no—
1242C2×D7—41no—
1243C2×D7—41no—
1244C2×D7—41no—
1245C2×D7—88no—
1246C2×D7C2×#12314yes—
1247C2×D7C2×#12314yes—
1248C4×C7—22no—
1249C4×C7—22no—
1250C4×C7—41no—
1251C4×C7—41no—
1252C4×C7—41no—
1253C4×C7—41no—
1254C4×C7—41no—
1255C4×C7—41no—
1256C4×C7—41no—
1257C4×C7—41no—
1258C4×C7—41no—
1259C4×C7—41no—
1260C4×C7—41no—
1261Dic7—22no—
1262Dic7—22no—
1263Dic7—41no—
1264Dic7—41no—
1265Dic7—41no—
1266Dic7—41no—
1267Dic7—41no—
1268Dic7—41no—
1269Dic7—41no—
1270Dic7—41no—
1271Dic7—41no—
1272C24—71no—
1273C24—71no—
1274C24—74no—
1275C24—74no—
1276C24—74no—
1277C24—71no—
1278C24—74no—
1279C24—71no—
1280C24—71no—
1281C24—142no—
1282C24—142no—
1283C24—142no—
1284C24—142no—
1285C24—142no—
1286C24—281no—
1287C24—281no—
1288C24—281no—
1289C24—281no—
1290C24—281no—
1291C24—281no—
1292C24—281no—
1293C24—281no—
1294C24—281no—
1295C24—281no—
1296C24—281no—
1297C24—281no—
1298C24C23×D711yescharacteristic
1299C24C23×D711yescharacteristic
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—74no—
1303C2×D4—74no—
1304C2×D4—74no—
1305C2×D4—142no—
1306C2×D4—142no—
1307C2×D4—142no—
1308C2×D4—142no—
1309C2×D4—142no—
1310C2×D4—142no—
1311C2×D4—142no—
1312C2×D4—142no—
1313C2×D4—142no—
1314C2×D4—142no—
1315C2×D4—142no—
1316C2×D4—142no—
1317C2×D4—142no—
1318C2×D4—142no—
1319C2×D4—142no—
1320C2×D4—142no—
1321C2×D4—1432no—
1322C2×D4—142no—
1323C2×D4—142no—
1324C2×D4—142no—
1325C2×D4—142no—
1326C2×D4—142no—
1327C2×D4—142no—
1328C2×D4—281no—
1329C2×D4—281no—
1330C2×D4—281no—
1331C2×D4—281no—
1332C2×D4—2816no—
1333C2×D4—281no—
1334C2×D4—281no—
1335C2×D4—281no—
1336C2×D4—281no—
1337C2×D4D4×D714yes—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—71no—
1351C22×C4—71no—
1352C22×C4—74no—
1353C22×C4—71no—
1354C22×C4—71no—
1355C22×C4—71no—
1356C22×C4—71no—
1357C22×C4—71no—
1358C22×C4—71no—
1359C22×C4—71no—
1360C22×C4—71no—
1361C22×C4—71no—
1362C22×C4—142no—
1363C22×C4—142no—
1364C22×C4—142no—
1365C22×C4—142no—
1366C22×C4—142no—
1367C22×C4—142no—
1368C22×C4—142no—
1369C22×C4—142no—
1370C22×C4—142no—
1371C22×C4—142no—
1372C22×C4—142no—
1373C22×C4—142no—
1374C22×C4—142no—
1375C22×C4—142no—
1376C22×C4—142no—
1377C22×C4—142no—
1378C22×C4—142no—
1379C22×C4—142no—
1380C22×C4—142no—
1381C22×C4—142no—
1382C22×C4—142no—
1383C22×C4—142no—
1384C22×C4—142no—
1385C22×C4—142no—
1386C22×C4—142no—
1387C22×C4—281no—
1388C22×C4—281no—
1389C22×C4—281no—
1390C22×C4—281no—
1391C22×C4—281no—
1392C22×C4—281no—
1393C22×C4—281no—
1394C22×C4—281no—
1395C22×C4—281no—
1396C22×C4—281no—
1397C22×C4—281no—
1398C22×C4—281no—
1399C22×C4—281no—
1400C22×C4—281no—
1401C22×C4—281no—
1402C22×C4—281no—
1403C22×C4—281no—
1404C22×C4—281no—
1405C22×C4—2816no—
1406C22×C4—2816no—
1407C22×C4—281no—
1408C22×C4—281no—
1409C22×C4—281no—
1410C22×C4—281no—
1411C22×C4C23×D711yescharacteristic
1412C22×C4C23×D711yescharacteristic
1413C22×C4C23×D711yescharacteristic
1414C22×C4C23×D711yescharacteristic
1415C22×C4C23×D711yescharacteristic
1416C22×C4C23×D711yescharacteristic
1417C22×C4C23×D711yescharacteristic
1418C22×C4C23×D711yescharacteristic
1419C22×C4C23×D711yescharacteristic
1420C22×C4C23×D711yescharacteristic
1421C22×C4C23×D711yescharacteristic
1422C22×C4C23×D711yescharacteristic
1423C22×C4C23×D711yescharacteristic
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—142no—
1432C4⋊C4—142no—
1433C4⋊C4—142no—
1434C4⋊C4—142no—
1435C4⋊C4—142no—
1436C4⋊C4—142no—
1437C4⋊C4—142no—
1438C4⋊C4—142no—
1439C4⋊C4—281no—
1440C4⋊C4—281no—
1441C4⋊C4—281no—
1442C4⋊C4—281no—
1443C4⋊C4—281no—
1444C4⋊C4—281no—
1445C4⋊C4—281no—
1446C4⋊C4—281no—
1447C4⋊C4—281no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—142no—
1457C22⋊C4—142no—
1458C22⋊C4—142no—
1459C22⋊C4—142no—
1460C22⋊C4—142no—
1461C22⋊C4—142no—
1462C22⋊C4—142no—
1463C22⋊C4—142no—
1464C22⋊C4—142no—
1465C22⋊C4—142no—
1466C22⋊C4—142no—
1467C22⋊C4—142no—
1468C22⋊C4—142no—
1469C22⋊C4—142no—
1470C22⋊C4—142no—
1471C22⋊C4—142no—
1472C22⋊C4—142no—
1473C22⋊C4—142no—
1474C22⋊C4—142no—
1475C22⋊C4—142no—
1476C22⋊C4—142no—
1477C22⋊C4—142no—
1478C22⋊C4—142no—
1479C22⋊C4—142no—
1480C22⋊C4—142no—
1481C22⋊C4—142no—
1482C22⋊C4—281no—
1483C22⋊C4—281no—
1484C22⋊C4—281no—
1485C22⋊C4—281no—
1486C22⋊C4—281no—
1487C22⋊C4—281no—
1488C22⋊C4—281no—
1489C22⋊C4—281no—
1490C22⋊C4—281no—
1491C22⋊C4—281no—
1492C22⋊C4—281no—
1493C22⋊C4—281no—
1494C22⋊C4—281no—
1495C22⋊C4—281no—
1496C22⋊C4—281no—
1497C22⋊C4—281no—
1498C22⋊C4—281no—
1499C22⋊C4—281no—
1500C42—22no—
1501C42—142no—
1502C42—142no—
1503C42—142no—
1504C2×C7—24no—
1505C2×C7—42no—
1506C2×C7C22×#12311yescharacteristic
1507C2×C7#345911yescharacteristic
1508C2×C7#345911yescharacteristic
1509C2×C7#348411yescharacteristic
1510C2×C7#348511yescharacteristic
1511C2×C7#350511yescharacteristic
1512C2×C7#350511yescharacteristic
1513D7—24no—
1514D7—24no—
1515D7—42no—
1516D7—81no—
1517D7—81no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—72no—
1529C23—72no—
1530C23—72no—
1531C23—72no—
1532C23—72no—
1533C23—72no—
1534C23—716no—
1535C23—72no—
1536C23—148no—
1537C23—141no—
1538C23—141no—
1539C23—141no—
1540C23—141no—
1541C23—141no—
1542C23—141no—
1543C23—141no—
1544C23—141no—
1545C23—141no—
1546C23—141no—
1547C23—141no—
1548C23—141no—
1549C23—141no—
1550C23—141no—
1551C23—141no—
1552C23—141no—
1553C23—141no—
1554C23—141no—
1555C23—141no—
1556C23—141no—
1557C23—141no—
1558C23—141no—
1559C23—141no—
1560C23—141no—
1561C23—141no—
1562C23—141no—
1563C23—141no—
1564C23—141no—
1565C23—284no—
1566C23—284no—
1567C23—284no—
1568C23—284no—
1569C23—284no—
1570C23—284no—
1571C23—284no—
1572C23—284no—
1573C23—284no—
1574C23—284no—
1575C23—284no—
1576C23—284no—
1577C23—284no—
1578C23—284no—
1579C23—284no—
1580C23—562no—
1581C23—562no—
1582C23—562no—
1583C23—562no—
1584C23C2×D4×D712yes—
1585C23C2×D4×D712yes—
1586C23D7×#4112yes—
1587C23D7×#4112yes—
1588C23C24×D711yescharacteristic
1589D4—28no—
1590D4—148no—
1591D4—148no—
1592D4—148no—
1593D4—284no—
1594D4—284no—
1595D4—284no—
1596D4—284no—
1597D4—562no—
1598D4—562no—
1599D4—562no—
1600D4—562no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—72no—
1642C2×C4—72no—
1643C2×C4—82no—
1644C2×C4—148no—
1645C2×C4—148no—
1646C2×C4—141no—
1647C2×C4—141no—
1648C2×C4—141no—
1649C2×C4—141no—
1650C2×C4—141no—
1651C2×C4—141no—
1652C2×C4—141no—
1653C2×C4—141no—
1654C2×C4—141no—
1655C2×C4—141no—
1656C2×C4—141no—
1657C2×C4—141no—
1658C2×C4—141no—
1659C2×C4—141no—
1660C2×C4—141no—
1661C2×C4—141no—
1662C2×C4—141no—
1663C2×C4—141no—
1664C2×C4—141no—
1665C2×C4—141no—
1666C2×C4—141no—
1667C2×C4—141no—
1668C2×C4—141no—
1669C2×C4—141no—
1670C2×C4—141no—
1671C2×C4—141no—
1672C2×C4—141no—
1673C2×C4—141no—
1674C2×C4—141no—
1675C2×C4—141no—
1676C2×C4—141no—
1677C2×C4—284no—
1678C2×C4—284no—
1679C2×C4—284no—
1680C2×C4—284no—
1681C2×C4—284no—
1682C2×C4—284no—
1683C2×C4—284no—
1684C2×C4—284no—
1685C2×C4—284no—
1686C2×C4—284no—
1687C2×C4—284no—
1688C2×C4—562no—
1689C2×C4—562no—
1690C2×C4—562no—
1691C2×C4C2×D4×D712yes—
1692C2×C4#655312yes—
1693C7#3498311yescharacteristic, complemented, Sylow
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—74no—
1708C22—74no—
1709C22—142no—
1710C22—142no—
1711C22—142no—
1712C22—142no—
1713C22—142no—
1714C22—142no—
1715C22—142no—
1716C22—142no—
1717C22—142no—
1718C22—142no—
1719C22—142no—
1720C22—142no—
1721C22—142no—
1722C22—142no—
1723C22—142no—
1724C22—2816no—
1725C22—2816no—
1726C22—281no—
1727C22—281no—
1728C22—281no—
1729C22—281no—
1730C22—281no—
1731C22—281no—
1732C22—281no—
1733C22—281no—
1734C22—281no—
1735C22—281no—
1736C22—281no—
1737C22—281no—
1738C22—281no—
1739C22—281no—
1740C22—281no—
1741C22—281no—
1742C22—281no—
1743C22—281no—
1744C22—568no—
1745C22D7×#12314yes—
1746C22C22×D4×D711yescharacteristic
1747C22C2×D7×#4111yescharacteristic
1748C22C2×D7×#4111yescharacteristic
1749C22C2×#655311yescharacteristic
1750C22#9061611yescharacteristic
1751C22D7×H(5,𝔽2)11yescharacteristic
1752C22#9062011yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—142no—
1767C4—142no—
1768C4—281no—
1769C4—281no—
1770C4—281no—
1771C4—281no—
1772C4—281no—
1773C4—281no—
1774C4—281no—
1775C4—281no—
1776C4—281no—
1777C2—24no—
1778C2—42no—
1779C2—144no—
1780C2—144no—
1781C2—282no—
1782C2—561no—
1783C2—561no—
1784C2C2×D7×#12311yescharacteristic
1785C2#1174321511yescharacteristic
1786C2#1174349611yescharacteristic
1787C2#1174373011yescharacteristic
1788C2#1174376811yescharacteristic
1789C2#1174388511yescharacteristic
1790C2#1174393011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2419C2
prime radicalC2×#90344C2
hypercenter#2419D7
hypocenterC7#34983
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D7C2semidirect
3. C7×#2419C2semidirect
4. #11740289C2semidirect
5. #11739849C2semidirect
6. #11735804C2semidirect
7. #11735788C2semidirect
8. #11735408C2semidirect
9. #11735396C2semidirect
10. #11735130C2semidirect
11. #11735130C2semidirect
12. #11735119C2semidirect
13. #11735118C2semidirect
14. #11732892C2semidirect
15. #11732892C2semidirect
16. #11732765C2semidirect
17. #11732764C2semidirect
18. #11732336C2semidirect
19. #11732319C2semidirect
20. #11732101C2semidirect
21. #11732053C2semidirect
22. #11732048C2semidirect
23. D7×#385C2semidirect
24. #11731591C2semidirect
25. #11731573C2semidirect
26. #11731564C2semidirect
27. #11731510C2semidirect
28. #11731466C2semidirect
29. #11731450C2semidirect
30. #11730820C2semidirect
31. C2×#89437C2semidirect
35. C23×C4×D7C22semidirect
41. C2×#6492C22semidirect
43. C2×C4×C22⋊D7C22semidirect
45. C22×(C2×D7)⋊C4C22semidirect
46. C22×(C2×D7)⋊C4C22semidirect
53. C2×#6457C22semidirect
54. C2×#6457C22semidirect
55. C2×#6456C22semidirect
56. C2×D7×C4⋊C4C22semidirect
57. C2×D7×C4⋊C4C22semidirect
58. C2×D7×C4⋊C4C22semidirect
59. C2×#6449C22semidirect
66. C2×(C22⋊D7)⋊C4C22semidirect
70. C2×D7×C22⋊C4C22semidirect
71. C2×C4×D28C22semidirect
72. C2×C42×D7C22semidirect
73. C7×#400C22semidirect
74. C7×#398C22semidirect
75. C7×#397C22semidirect
76. C7×#397C22semidirect
77. C7×#387C22semidirect
78. C7×#387C22semidirect
80. C7×#385C22semidirect
81. C7×#385C22semidirect
82. C7×#381C22semidirect
83. C7×#381C22semidirect
84. C7×#380C22semidirect
85. C2×C7×#95C22semidirect
88. #89985C22semidirect
89. #89984C22semidirect
90. #89983C22semidirect
91. #89982C22semidirect
92. C2×C7⋊#95C22semidirect
93. #89765C22semidirect
94. #89764C22semidirect
95. #89764C22semidirect
96. #89764C22semidirect
97. #89763C22semidirect
98. #89763C22semidirect
99. #89762C22semidirect
100. #89762C22semidirect
101. #89761C22semidirect
102. #89761C22semidirect
103. #89761C22semidirect
104. #89761C22semidirect
105. #89761C22semidirect
106. #89761C22semidirect
107. #89758C22semidirect
108. #89755C22semidirect
109. #89750C22semidirect
110. #89750C22semidirect
111. #89733C22semidirect
112. #89733C22semidirect
113. #89731C22semidirect
114. #89731C22semidirect
116. #89730C22semidirect
117. #89728C22semidirect
118. #89728C22semidirect
119. #89727C22semidirect
120. #89727C22semidirect
121. #89727C22semidirect
122. #89727C22semidirect
123. #89724C22semidirect
124. #89724C22semidirect
125. #89722C22semidirect
126. #89718C22semidirect
127. #89718C22semidirect
128. #89715C22semidirect
129. #89714C22semidirect
130. #89714C22semidirect
131. #89712C22semidirect
132. #89712C22semidirect
133. #89449C22semidirect
134. #89447C22semidirect
135. #89447C22semidirect
136. #89447C22semidirect
137. #89447C22semidirect
138. #89446C22semidirect
139. #89446C22semidirect
140. #89446C22semidirect
141. #89444C22semidirect
142. #89444C22semidirect
143. #89442C22semidirect
144. #89442C22semidirect
145. #89441C22semidirect
146. #89441C22semidirect
147. #89440C22semidirect
148. #89440C22semidirect
149. #89440C22semidirect
150. #89440C22semidirect
151. #89440C22semidirect
152. #89440C22semidirect
153. #89440C22semidirect
154. #89440C22semidirect
163. #89437C22semidirect
164. #89437C22semidirect
165. #89437C22semidirect
166. #89437C22semidirect
167. #89437C22semidirect
168. #89437C22semidirect
169. #89437C22semidirect
170. #89437C22semidirect
171. #89437C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89436C22semidirect
176. #89436C22semidirect
177. #89436C22semidirect
178. #89436C22semidirect
179. D7×#95C22semidirect
180. D7×#95C22semidirect
181. #89430C22semidirect
182. #89430C22semidirect
183. #89429C22semidirect
184. #89429C22semidirect
185. #89426C22semidirect
186. #89426C22semidirect
187. #89424C22semidirect
188. #89424C22semidirect
413. #2419D7semidirect
699. #400C2×D7semidirect
707. #398C2×D7semidirect
718. #397C2×D7semidirect
719. #397C2×D7semidirect
742. #387C2×D7semidirect
743. #387C2×D7semidirect
790. #385C2×D7semidirect
791. #385C2×D7semidirect
798. #381C2×D7semidirect
799. #381C2×D7semidirect
803. #380C2×D7semidirect
811. C2×#95C2×D7semidirect
875. C22×D7#123semidirect
1693. C7#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#903442
C2×C4×D4×D72
C7×#24192
#117402892
#117398492
#117358042
#117357882
#117354082
#117353962
#117351302
#117351192
#117351182
#117328922
#117327652
#117327642
#117323362
#117323192
#117321012
#117320532
#117320482
D7×#3852
#117315912
#117315732
#117315642
#117315102
#117314662
#117314502
#117308202
C2×#894372
#349837