Finite Group Databasebeta

← D7×#2466 #13521462

Subgroups — D7×#2466 #13521462

Order 1792.

3006 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D7×#126C211yesmaximal, characteristic, complemented
2C2×C4×D4×D7C211yesmaximal, characteristic
3C7×#2466C211yesmaximal, characteristic, complemented
4#11740550C211yesmaximal, characteristic, complemented
5#11739814C211yesmaximal, characteristic, complemented
6D7×#397C211yesmaximal, characteristic, complemented
7#11734916C211yesmaximal, characteristic, complemented
8D7×#396C211yesmaximal, characteristic, complemented
9#11734742C211yesmaximal, characteristic, complemented
10D7×#394C211yesmaximal, characteristic
11D7×#394C211yesmaximal, characteristic
12#11734364C211yesmaximal, characteristic, complemented
13#11734363C211yesmaximal, characteristic, complemented
14D7×#389C211yesmaximal, characteristic, complemented
15D7×#389C211yesmaximal, characteristic, complemented
16#11733465C211yesmaximal, characteristic, complemented
17#11733464C211yesmaximal, characteristic, complemented
18D7×#388C211yesmaximal, characteristic, complemented
19#11732961C211yesmaximal, characteristic, complemented
20#11732775C211yesmaximal, characteristic, complemented
21D7×#387C211yesmaximal, characteristic, complemented
22D7×#387C211yesmaximal, characteristic, complemented
23#11732445C211yesmaximal, characteristic, complemented
24D7×#385C211yesmaximal, characteristic, complemented
25D7×#385C211yesmaximal, characteristic, complemented
26#11731880C211yesmaximal, characteristic, complemented
27#11731879C211yesmaximal, characteristic, complemented
28D7×#381C211yesmaximal, characteristic, complemented
29#11731516C211yesmaximal, characteristic, complemented
30#11731037C211yesmaximal, characteristic, complemented
31C4×D7×C22⋊C4C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C2×C7×#126C2211yescharacteristic, complemented
36C2×C4×C7×D4C2211yescharacteristic
37C2×D4×Dic7C2211yescharacteristic
38C2×C4×C22⋊D7C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40D7×#126—28no—
41C4×D4×D7—28no—
42C2×#6461C2211yescharacteristic, complemented
43C2×#6461C2211yescharacteristic, complemented
44C2×#6461C2211yescharacteristic, complemented
45C2×#6456C2211yescharacteristic
46C2×D7×C4⋊C4C2211yescharacteristic
47C2×D7×C4⋊C4C2211yescharacteristic
48C2×D7×C4⋊C4C2211yescharacteristic
49C2×D7×C4⋊C4C2211yescharacteristic
50C2×D7×C4⋊C4C2211yescharacteristic
51C2×D7×C4⋊C4C2211yescharacteristic
52C2×D7×C4⋊C4C2211yescharacteristic
53C2×D7×C4⋊C4C2211yescharacteristic
54C2×D7×C4⋊C4C2211yescharacteristic
55C2×(C22⋊D7)⋊C4C2211yescharacteristic
56C2×(C22⋊D7)⋊C4C2211yescharacteristic
57C2×D7×C22⋊C4C2211yescharacteristic
58C2×D7×C22⋊C4C2211yescharacteristic
59C2×D7×C22⋊C4C2211yescharacteristic
60C2×D7×C22⋊C4C2211yescharacteristic
61C2×D7×C22⋊C4C2211yescharacteristic
62C2×D7×C22⋊C4C2211yescharacteristic
63C2×D7×C22⋊C4C2211yescharacteristic
64C2×D7×C22⋊C4C2211yescharacteristic
65C2×D7×C22⋊C4C2211yescharacteristic
66C2×D7×C22⋊C4C2211yescharacteristic
67C2×#6442C2211yescharacteristic, complemented
68C2×#6442C2211yescharacteristic, complemented
69C2×#6442C2211yescharacteristic, complemented
70C2×#6439C2211yescharacteristic, complemented
71C2×C4×D28C2211yescharacteristic
72C2×C42×D7C2211yescharacteristic
73C2×C42×D7C2211yescharacteristic
74C2×C42×D7C2211yescharacteristic
75C7×#397C2211yescharacteristic, complemented
76C7×#396C2211yescharacteristic, complemented
77C7×#394C2211yescharacteristic
78C7×#394C2211yescharacteristic
79C7×#389C2211yescharacteristic, complemented
80C7×#389C2211yescharacteristic, complemented
81C7×#388C2211yescharacteristic, complemented
82C7×#387C2211yescharacteristic, complemented
83C7×#387C2211yescharacteristic, complemented
84C7×#385C2211yescharacteristic, complemented
85C7×#385C2211yescharacteristic, complemented
86C7×#381C2211yescharacteristic, complemented
87C4×C7×C22⋊C4C2211yescharacteristic, complemented
88#89994C2211yescharacteristic
89#89994C2211yescharacteristic
90#89983C2211yescharacteristic, complemented
91#89982C2211yescharacteristic, complemented
92#89982C2211yescharacteristic, complemented
93C4×C22⋊Dic7C2211yescharacteristic, complemented
94#89766C2211yescharacteristic, complemented
95#89766C2211yescharacteristic, complemented
96#89766C2211yescharacteristic, complemented
97#89765C2211yescharacteristic, complemented
98#89763C2211yescharacteristic
99#89763C2211yescharacteristic
100#89762C2211yescharacteristic, complemented
101#89761C2211yescharacteristic, complemented
102#89761C2211yescharacteristic, complemented
103#89761C2211yescharacteristic, complemented
104#89761C2211yescharacteristic, complemented
105#89757C2211yescharacteristic, complemented
106#89757C2211yescharacteristic, complemented
107#89753C2211yescharacteristic, complemented
108#89753C2211yescharacteristic, complemented
109#89750C2211yescharacteristic, complemented
110#89750C2211yescharacteristic, complemented
111#89745C2211yescharacteristic, complemented
112#89745C2211yescharacteristic, complemented
113#89744C2211yescharacteristic, complemented
114#89744C2211yescharacteristic, complemented
115#89744C2211yescharacteristic, complemented
116#89744C2211yescharacteristic, complemented
117#89733C2211yescharacteristic
118#89733C2211yescharacteristic
119#89733C2211yescharacteristic
120#89733C2211yescharacteristic
121#89731C2211yescharacteristic
122#89731C2211yescharacteristic
123#89731C2211yescharacteristic
124#89731C2211yescharacteristic
125#89725C2211yescharacteristic, complemented
126#89724C2211yescharacteristic, complemented
127#89724C2211yescharacteristic, complemented
128#89723C2211yescharacteristic, complemented
129#89722C2211yescharacteristic, complemented
130#89722C2211yescharacteristic, complemented
131#89720C2211yescharacteristic, complemented
132#89720C2211yescharacteristic, complemented
133#89720C2211yescharacteristic, complemented
134#89718C2211yescharacteristic, complemented
135#89718C2211yescharacteristic, complemented
136#89717C2211yescharacteristic, complemented
137#89716C2211yescharacteristic, complemented
138#89715C2211yescharacteristic, complemented
139#89715C2211yescharacteristic, complemented
140C22⋊C4×Dic7C2211yescharacteristic, complemented
141C22⋊C4×Dic7C2211yescharacteristic, complemented
142#89712C2211yescharacteristic, complemented
143C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
145#89705C2211yescharacteristic, complemented
146#89705C2211yescharacteristic, complemented
147#89700C2211yescharacteristic, complemented
148#89700C2211yescharacteristic, complemented
149#89448C2211yescharacteristic, complemented
150#89447C2211yescharacteristic, complemented
151#89447C2211yescharacteristic, complemented
152#89446C2211yescharacteristic, complemented
153#89444C2211yescharacteristic
154#89444C2211yescharacteristic
155#89442C2211yescharacteristic, complemented
156#89441C2211yescharacteristic, complemented
157#89440C2211yescharacteristic, complemented
158#89440C2211yescharacteristic, complemented
159#89440C2211yescharacteristic, complemented
160#89440C2211yescharacteristic, complemented
161#89438C2211yescharacteristic, complemented
162#89438C2211yescharacteristic, complemented
163#89436C2211yescharacteristic, complemented
164#89436C2211yescharacteristic, complemented
165#89436C2211yescharacteristic, complemented
166#89436C2211yescharacteristic, complemented
167D7×#95C2211yescharacteristic
168D7×#95C2211yescharacteristic
169D7×#95C2211yescharacteristic
170D7×#95C2211yescharacteristic
171D7×#95C2211yescharacteristic
172D7×#95C2211yescharacteristic
173D7×#95C2211yescharacteristic
174D7×#95C2211yescharacteristic
175D7×#95C2211yescharacteristic
176D7×#95C2211yescharacteristic
177#89427C2211yescharacteristic, complemented
178#89427C2211yescharacteristic, complemented
179#89426C2211yescharacteristic, complemented
180#89426C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89424C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189C2×#2466—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C2×D4×D7—24no—
200C2×D4×D7—24no—
201C2×D4×D7—24no—
202C22×D28C2311yescharacteristic
203C22×C4×D7—24no—
204C22×C4×D7—24no—
205C22×C4×D7—24no—
206C22×C4×D7—24no—
207C22×C4×D7—42no—
208C22×C4×D7—42no—
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
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
226C7×#126—24no—
227C4×C7×D4—24no—
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
230C2×C7×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊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×C42×C7C2311yescharacteristic
248C2×C42×C7C2311yescharacteristic
249C2×C42×C7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260D4×Dic7—24no—
261C4×C22⋊D7—24no—
262C4×C22⋊D7—24no—
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319#6461—24no—
320#6461—24no—
321#6461—24no—
322#6456—24no—
323D7×C4⋊C4—24no—
324D7×C4⋊C4—24no—
325D7×C4⋊C4—24no—
326D7×C4⋊C4—24no—
327D7×C4⋊C4—24no—
328D7×C4⋊C4—24no—
329D7×C4⋊C4—24no—
330D7×C4⋊C4—24no—
331D7×C4⋊C4—42no—
332(C22⋊D7)⋊C4—24no—
333(C22⋊D7)⋊C4—24no—
334D7×C22⋊C4—24no—
335D7×C22⋊C4—24no—
336D7×C22⋊C4—24no—
337D7×C22⋊C4—24no—
338D7×C22⋊C4—24no—
339D7×C22⋊C4—24no—
340D7×C22⋊C4—24no—
341D7×C22⋊C4—42no—
342D7×C22⋊C4—42no—
343D7×C22⋊C4D418yes—
344#6442—24no—
345#6442—24no—
346#6442—24no—
347#6439—24no—
348C4×D28—24no—
349C42×D7—24no—
350C42×D7—24no—
351C42×D7—42no—
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
392C22×#126—71no—
393C22×C4×D4—71no—
394#2466—71no—
395#2466—71no—
396#2466—71no—
397#2466—71no—
398#2466—71no—
399#2466—71no—
400#2466—71no—
401#2466—71no—
402#2466—71no—
403#2466—71no—
404#2466—71no—
405#2466—71no—
406#2466—71no—
407#2466—71no—
408#2466—71no—
409#2466D711yescharacteristic, direct product factor
410C2×#397—71no—
411C2×#396—71no—
412C2×#394—71no—
413C2×#394—71no—
414C2×#389—71no—
415C2×#389—71no—
416C2×#388—71no—
417C2×#387—71no—
418C2×#387—71no—
419C2×#385—71no—
420C2×#385—71no—
421C2×#381—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—22no—
435C23×D7—22no—
436C23×D7—22no—
437C23×D7C2×D414yes—
438C23×D7#4114yes—
439C23×D7C2411yescharacteristic
440C23×D7C2411yescharacteristic
441C23×D7C2411yescharacteristic
442C2×C7×D4—22no—
443C2×C7×D4—22no—
444C2×C7×D4—22no—
445C22×C4×C7—22no—
446C22×C4×C7—22no—
447C22×C4×C7—22no—
448C22×C4×C7—22no—
449C22×C4×C7—41no—
450C22×C4×C7—41no—
451C22×C4×C7C2411yescharacteristic
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
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C22×Dic7—22no—
471C22×Dic7—22no—
472C22×Dic7—22no—
473C22×Dic7—22no—
474C22×Dic7—41no—
475C22×Dic7—41no—
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489D4×D7—232no—
490C2×D28—22no—
491C2×D28—22no—
492C2×D28—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—22no—
506C2×C4×D7—22no—
507C2×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—22no—
511C2×C4×D7—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—416no—
536C2×C4×D7—416no—
537C2×C4×D7—41no—
538C2×C4×D7—41no—
539C2×C4×D7—41no—
540C2×C4×D7—41no—
541C2×C4×D7C2×D414yes—
542C2×C4×D7C2×D414yes—
543C2×C4×D7#4114yes—
544C2×C4×D7#4114yes—
545C2×C4×D7#4114yes—
546C7×C4⋊C4—22no—
547C7×C4⋊C4—22no—
548C7×C4⋊C4—22no—
549C7×C4⋊C4—22no—
550C7×C4⋊C4—22no—
551C7×C4⋊C4—22no—
552C7×C4⋊C4—22no—
553C7×C4⋊C4—22no—
554C7×C4⋊C4—41no—
555C7×C22⋊C4—22no—
556C7×C22⋊C4—22no—
557C7×C22⋊C4—22no—
558C7×C22⋊C4—22no—
559C7×C22⋊C4—22no—
560C7×C22⋊C4—22no—
561C7×C22⋊C4—22no—
562C7×C22⋊C4—41no—
563C7×C22⋊C4—41no—
564C7×C22⋊C4C2×D414yes—
565C42×C7—22no—
566C42×C7—22no—
567C42×C7—41no—
568C22⋊Dic7—22no—
569C22⋊Dic7—22no—
570C22⋊Dic7—22no—
571C22⋊Dic7—22no—
572C22⋊Dic7—22no—
573C22⋊Dic7—22no—
574C22⋊Dic7—22no—
575C22⋊Dic7—41no—
576C22⋊Dic7—41no—
577C22⋊Dic7C2×D414yes—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—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—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4—41no—
596(C2×D7)⋊C4C2×D414yes—
597(C2×D7)⋊C4C2×D414yes—
598C4⋊Dic7—22no—
599C4⋊Dic7—22no—
600C4⋊Dic7—22no—
601C4⋊Dic7—22no—
602C4⋊Dic7—22no—
603C4⋊Dic7—22no—
604C4⋊Dic7—22no—
605C4⋊Dic7—22no—
606C4⋊Dic7—41no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—22no—
615Dic7⋊C4—22no—
616Dic7⋊C4—22no—
617Dic7⋊C4—22no—
618Dic7⋊C4—22no—
619Dic7⋊C4—22no—
620Dic7⋊C4—22no—
621Dic7⋊C4—22no—
622Dic7⋊C4—22no—
623Dic7⋊C4—41no—
624Dic7⋊C4—41no—
625C4×Dic7—22no—
626C4×Dic7—22no—
627C4×Dic7—22no—
628C4×Dic7—22no—
629C4×Dic7—22no—
630C4×Dic7—22no—
631C4×Dic7—41no—
632C4×Dic7—41no—
633C4×Dic7—41no—
634C23×D4—71no—
635C24×C4—71no—
636C24×C4—71no—
637C2×#126—71no—
638C2×#126—71no—
639C2×#126—71no—
640C2×#126—71no—
641C2×#126—71no—
642C2×#126—71no—
643C2×#126—71no—
644C2×#126—148no—
645C2×#126C2×D711yescharacteristic, complemented
646C2×C4×D4—71no—
647C2×C4×D4—71no—
648C2×C4×D4—71no—
649C2×C4×D4—71no—
650C2×C4×D4—71no—
651C2×C4×D4—71no—
652C2×C4×D4—71no—
653C2×C4×D4—148no—
654C2×C4×D4C2×D711yescharacteristic
655C22×C4⋊C4—71no—
656C22×C4⋊C4—71no—
657C22×C4⋊C4—71no—
658C22×C4⋊C4—71no—
659C22×C4⋊C4—71no—
660C22×C4⋊C4—71no—
661C22×C4⋊C4—71no—
662C22×C4⋊C4—71no—
663C22×C4⋊C4—71no—
664C22×C22⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667C22×C22⋊C4—71no—
668C22×C22⋊C4—71no—
669C22×C22⋊C4—71no—
670C22×C22⋊C4—71no—
671C22×C22⋊C4—71no—
672C22×C22⋊C4—71no—
673C22×C22⋊C4—71no—
674C22×C42—71no—
675C22×C42—71no—
676C22×C42—71no—
677#397—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#397—71no—
684#397C2×D711yescharacteristic, complemented
685#396—71no—
686#396—71no—
687#396—71no—
688#396—71no—
689#396—71no—
690#396—71no—
691#396—71no—
692#396C2×D711yescharacteristic, complemented
693#394—71no—
694#394—71no—
695#394—71no—
696#394—71no—
697#394—71no—
698#394—71no—
699#394—71no—
700#394—71no—
701#394—71no—
702#394—71no—
703#394—71no—
704#394—71no—
705#394—71no—
706#394—71no—
707#394C2×D711yescharacteristic
708#394C2×D711yescharacteristic
709#389—71no—
710#389—71no—
711#389—71no—
712#389—71no—
713#389—71no—
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389—71no—
719#389—71no—
720#389—71no—
721#389—71no—
722#389—71no—
723#389C2×D711yescharacteristic, complemented
724#389C2×D711yescharacteristic, complemented
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388C2×D711yescharacteristic, complemented
733#387—71no—
734#387—71no—
735#387—71no—
736#387—71no—
737#387—71no—
738#387—71no—
739#387—71no—
740#387—71no—
741#387—71no—
742#387—71no—
743#387—71no—
744#387—71no—
745#387—71no—
746#387—71no—
747#387C2×D711yescharacteristic, complemented
748#387C2×D711yescharacteristic, complemented
749#385—71no—
750#385—71no—
751#385—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#381—71no—
769#381—71no—
770#381—71no—
771#381—71no—
772#381C2×D711yescharacteristic, complemented
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4—71no—
780C4×C22⋊C4C2×D711yescharacteristic, complemented
781C2×#95—71no—
782C2×#95—71no—
783C2×#95—71no—
784C2×#95—71no—
785C2×#95—71no—
786C2×#95—71no—
787C2×#95—71no—
788C2×#95—71no—
789C2×#95—71no—
790C2×#95—71no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7C22×D412yes—
804C23×C7C2×#4112yes—
805C23×C7C2511yescharacteristic
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—28no—
819C22×D7—28no—
820C22×D7—28no—
821C22×D7—28no—
822C22×D7—28no—
823C22×D7—28no—
824C22×D7—44no—
825C22×D7—44no—
826C22×D7—44no—
827C22×D7—44no—
828C22×D7—44no—
829C22×D7—44no—
830C22×D7—44no—
831C22×D7—44no—
832C22×D7C22×D412yes—
833C22×D7C22×D412yes—
834C22×D7C2×#4112yes—
835C22×D7C2×#4112yes—
836C22×D7C2×#4112yes—
837C22×D7C2×#4112yes—
838C22×D7C2×#4112yes—
839C22×D7H(5,𝔽2)12yes—
840C22×D72−1+412yes—
841C7×D4—28no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
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—44no—
877C2×C4×C7—44no—
878C2×C4×C7C22×D412yes—
879C2×C4×C7C22×D412yes—
880C2×C4×C7C2×#4112yes—
881C2×C4×C7C2×#4112yes—
882C2×C4×C7C2×#4112yes—
883C22⋊D7—28no—
884C22⋊D7—28no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
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—44no—
920C2×Dic7—44no—
921C2×Dic7C22×D412yes—
922C2×Dic7C22×D412yes—
923C2×Dic7C2×#4112yes—
924C2×Dic7C2×#4112yes—
925C2×Dic7C2×#4112yes—
926D28—28no—
927C4×D7—28no—
928C4×D7—28no—
929C4×D7—28no—
930C4×D7—28no—
931C4×D7—28no—
932C4×D7—44no—
933C4×D7—44no—
934C4×D7—44no—
935C4×D7—44no—
936C4×D7—44no—
937C4×D7—44no—
938C4×D7—44no—
939C4×D7—44no—
940C4×D7—44no—
941C4×D7—44no—
942C4×D7—44no—
943C4×D7—44no—
944C25—71no—
945C25—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
949C22×D4—144no—
950C22×D4—144no—
951C22×D4—144no—
952C22×D4C22×D711yescharacteristic
953C23×C4—71no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4—71no—
960C23×C4—71no—
961C23×C4—71no—
962C23×C4—71no—
963C23×C4—71no—
964C23×C4—71no—
965C23×C4—71no—
966C23×C4—71no—
967C23×C4—71no—
968C23×C4—71no—
969C23×C4—71no—
970C23×C4—71no—
971C23×C4—71no—
972C23×C4—144no—
973C23×C4—144no—
974C23×C4—144no—
975C23×C4—144no—
976C23×C4—282no—
977C23×C4—282no—
978C23×C4C22×D711yescharacteristic
979C23×C4C22×D711yescharacteristic
980#126—24no—
981#126—144no—
982#126—144no—
983#126—144no—
984#126—144no—
985#126—144no—
986#126—144no—
987#126—144no—
988C4×D4—24no—
989C4×D4—144no—
990C4×D4—144no—
991C4×D4—144no—
992C4×D4—144no—
993C4×D4—144no—
994C4×D4—144no—
995C4×D4—144no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—71no—
1021C2×C4⋊C4—71no—
1022C2×C4⋊C4—71no—
1023C2×C4⋊C4—144no—
1024C2×C4⋊C4—144no—
1025C2×C4⋊C4—144no—
1026C2×C4⋊C4—144no—
1027C2×C4⋊C4—144no—
1028C2×C4⋊C4—144no—
1029C2×C4⋊C4—144no—
1030C2×C4⋊C4—144no—
1031C2×C4⋊C4—282no—
1032C2×C4⋊C4C22×D711yescharacteristic
1033C2×C4⋊C4C22×D711yescharacteristic
1034C2×C4⋊C4C22×D711yescharacteristic
1035C2×C4⋊C4C22×D711yescharacteristic
1036C2×C4⋊C4C22×D711yescharacteristic
1037C2×C4⋊C4C22×D711yescharacteristic
1038C2×C4⋊C4C22×D711yescharacteristic
1039C2×C4⋊C4C22×D711yescharacteristic
1040C2×C4⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—78no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
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—144no—
1073C2×C22⋊C4—144no—
1074C2×C22⋊C4—144no—
1075C2×C22⋊C4—144no—
1076C2×C22⋊C4—144no—
1077C2×C22⋊C4—144no—
1078C2×C22⋊C4—144no—
1079C2×C22⋊C4—282no—
1080C2×C22⋊C4—282no—
1081C2×C22⋊C4C22×D711yescharacteristic
1082C2×C22⋊C4C22×D711yescharacteristic
1083C2×C22⋊C4C22×D711yescharacteristic
1084C2×C22⋊C4C22×D711yescharacteristic
1085C2×C22⋊C4C22×D711yescharacteristic
1086C2×C22⋊C4C22×D711yescharacteristic
1087C2×C22⋊C4C22×D711yescharacteristic
1088C2×C22⋊C4C22×D711yescharacteristic
1089C2×C22⋊C4C22×D711yescharacteristic
1090C2×C22⋊C4C22×D711yescharacteristic
1091C2×C42—71no—
1092C2×C42—71no—
1093C2×C42—71no—
1094C2×C42—71no—
1095C2×C42—71no—
1096C2×C42—71no—
1097C2×C42—71no—
1098C2×C42—71no—
1099C2×C42—71no—
1100C2×C42—144no—
1101C2×C42—144no—
1102C2×C42—282no—
1103C2×C42C22×D711yescharacteristic
1104C2×C42C22×D711yescharacteristic
1105C2×C42C22×D711yescharacteristic
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95—71no—
1123#95—71no—
1124#95—71no—
1125#95—71no—
1126#95—71no—
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#95C22×D711yescharacteristic
1137#95C22×D711yescharacteristic
1138#95C22×D711yescharacteristic
1139#95C22×D711yescharacteristic
1140#95C22×D711yescharacteristic
1141#95C22×D711yescharacteristic
1142#95C22×D711yescharacteristic
1143#95C22×D711yescharacteristic
1144#95C22×D711yescharacteristic
1145#95C22×D711yescharacteristic
1146C22×C7—22no—
1147C22×C7—22no—
1148C22×C7—22no—
1149C22×C7—22no—
1150C22×C7—22no—
1151C22×C7—22no—
1152C22×C7—41no—
1153C22×C7—41no—
1154C22×C7—41no—
1155C22×C7—41no—
1156C22×C7—41no—
1157C22×C7—41no—
1158C22×C7—41no—
1159C22×C7—41no—
1160C22×C7C23×D411yescharacteristic
1161C22×C7C22×#4111yescharacteristic
1162C22×C7C22×#4111yescharacteristic
1163C22×C7C22×#4111yescharacteristic
1164C22×C7C22×#4111yescharacteristic
1165C22×C7C2×H(5,𝔽2)11yescharacteristic
1166C22×C7C2×2−1+411yescharacteristic
1167C2×D7—22no—
1168C2×D7—22no—
1169C2×D7—22no—
1170C2×D7—22no—
1171C2×D7—22no—
1172C2×D7—22no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C2×D7—41no—
1181C2×D7—416no—
1182C2×D7—416no—
1183C2×D7#52514yes—
1184C2×D7#52914yes—
1185C2×D7#53914yes—
1186C2×D7#54614yes—
1187C2×D7#54714yes—
1188C2×D7#55314yes—
1189C2×D7#55614yes—
1190C4×C7—22no—
1191C4×C7—22no—
1192C4×C7—22no—
1193C4×C7—22no—
1194C4×C7—22no—
1195C4×C7—41no—
1196C4×C7—41no—
1197C4×C7—41no—
1198C4×C7—41no—
1199C4×C7—41no—
1200C4×C7—41no—
1201C4×C7—41no—
1202C4×C7—41no—
1203Dic7—22no—
1204Dic7—22no—
1205Dic7—22no—
1206Dic7—22no—
1207Dic7—22no—
1208Dic7—41no—
1209Dic7—41no—
1210Dic7—41no—
1211Dic7—41no—
1212Dic7—41no—
1213Dic7—41no—
1214Dic7—41no—
1215Dic7—41no—
1216C24—71no—
1217C24—74no—
1218C24—74no—
1219C24—71no—
1220C24—71no—
1221C24—142no—
1222C24—142no—
1223C24—142no—
1224C24—142no—
1225C24—142no—
1226C24—142no—
1227C24—142no—
1228C24—142no—
1229C24—142no—
1230C24—142no—
1231C24—142no—
1232C24—142no—
1233C24C23×D711yescharacteristic
1234C24C23×D711yescharacteristic
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—1432no—
1243C2×D4—142no—
1244C2×D4—142no—
1245C2×D4—142no—
1246C2×D4—142no—
1247C2×D4—142no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—71no—
1255C22×C4—71no—
1256C22×C4—71no—
1257C22×C4—71no—
1258C22×C4—71no—
1259C22×C4—74no—
1260C22×C4—74no—
1261C22×C4—74no—
1262C22×C4—74no—
1263C22×C4—74no—
1264C22×C4—71no—
1265C22×C4—71no—
1266C22×C4—71no—
1267C22×C4—71no—
1268C22×C4—71no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—71no—
1272C22×C4—142no—
1273C22×C4—142no—
1274C22×C4—142no—
1275C22×C4—142no—
1276C22×C4—142no—
1277C22×C4—142no—
1278C22×C4—142no—
1279C22×C4—142no—
1280C22×C4—142no—
1281C22×C4—142no—
1282C22×C4—142no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—142no—
1293C22×C4—142no—
1294C22×C4—142no—
1295C22×C4—142no—
1296C22×C4—142no—
1297C22×C4—142no—
1298C22×C4—142no—
1299C22×C4—142no—
1300C22×C4—142no—
1301C22×C4—142no—
1302C22×C4—142no—
1303C22×C4—142no—
1304C22×C4—142no—
1305C22×C4—142no—
1306C22×C4—142no—
1307C22×C4—142no—
1308C22×C4—142no—
1309C22×C4—142no—
1310C22×C4—142no—
1311C22×C4—142no—
1312C22×C4—142no—
1313C22×C4—142no—
1314C22×C4—142no—
1315C22×C4—142no—
1316C22×C4—142no—
1317C22×C4—142no—
1318C22×C4—281no—
1319C22×C4—281no—
1320C22×C4—281no—
1321C22×C4—281no—
1322C22×C4—2816no—
1323C22×C4—2816no—
1324C22×C4—281no—
1325C22×C4—281no—
1326C22×C4C23×D711yescharacteristic
1327C22×C4C23×D711yescharacteristic
1328C22×C4C23×D711yescharacteristic
1329C22×C4C23×D711yescharacteristic
1330C22×C4C23×D711yescharacteristic
1331C22×C4C23×D711yescharacteristic
1332C22×C4C23×D711yescharacteristic
1333C22×C4C23×D711yescharacteristic
1334C22×C4C23×D711yescharacteristic
1335C22×C4C23×D711yescharacteristic
1336C22×C4C23×D711yescharacteristic
1337C22×C4C23×D711yescharacteristic
1338C22×C4C23×D711yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—41no—
1348C4⋊C4—142no—
1349C4⋊C4—142no—
1350C4⋊C4—142no—
1351C4⋊C4—142no—
1352C4⋊C4—142no—
1353C4⋊C4—142no—
1354C4⋊C4—142no—
1355C4⋊C4—142no—
1356C4⋊C4—142no—
1357C4⋊C4—142no—
1358C4⋊C4—142no—
1359C4⋊C4—142no—
1360C4⋊C4—142no—
1361C4⋊C4—142no—
1362C4⋊C4—142no—
1363C4⋊C4—142no—
1364C4⋊C4—142no—
1365C4⋊C4—142no—
1366C4⋊C4—142no—
1367C4⋊C4—142no—
1368C4⋊C4—142no—
1369C4⋊C4—142no—
1370C4⋊C4—142no—
1371C4⋊C4—142no—
1372C4⋊C4—281no—
1373C4⋊C4—281no—
1374C4⋊C4—281no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—74no—
1385C22⋊C4—74no—
1386C22⋊C4—74no—
1387C22⋊C4—142no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
1390C22⋊C4—142no—
1391C22⋊C4—142no—
1392C22⋊C4—142no—
1393C22⋊C4—142no—
1394C22⋊C4—142no—
1395C22⋊C4—142no—
1396C22⋊C4—142no—
1397C22⋊C4—142no—
1398C22⋊C4—142no—
1399C22⋊C4—142no—
1400C22⋊C4—142no—
1401C22⋊C4—142no—
1402C22⋊C4—142no—
1403C22⋊C4—142no—
1404C22⋊C4—142no—
1405C22⋊C4—142no—
1406C22⋊C4—142no—
1407C22⋊C4—142no—
1408C22⋊C4—281no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
1411C22⋊C4—281no—
1412C22⋊C4—281no—
1413C22⋊C4—281no—
1414C22⋊C4D4×D714yes—
1415C42—22no—
1416C42—22no—
1417C42—41no—
1418C42—142no—
1419C42—142no—
1420C42—142no—
1421C42—142no—
1422C42—142no—
1423C42—142no—
1424C42—281no—
1425C42—281no—
1426C42—281no—
1427C2×C7—42no—
1428C2×C7—42no—
1429C2×C7C2×#52511yescharacteristic
1430C2×C7C2×#52911yescharacteristic
1431C2×C7C2×#53911yescharacteristic
1432C2×C7C2×#54611yescharacteristic
1433C2×C7C2×#54711yescharacteristic
1434C2×C7C2×#55311yescharacteristic
1435C2×C7C2×#55611yescharacteristic
1436D7—42no—
1437D7—42no—
1438D7#246618yesdirect product factor
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—72no—
1452C23—72no—
1453C23—72no—
1454C23—72no—
1455C23—72no—
1456C23—72no—
1457C23—72no—
1458C23—72no—
1459C23—72no—
1460C23—148no—
1461C23—148no—
1462C23—148no—
1463C23—148no—
1464C23—148no—
1465C23—148no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—141no—
1473C23—141no—
1474C23—141no—
1475C23—141no—
1476C23—141no—
1477C23—141no—
1478C23—284no—
1479C23—284no—
1480C23—284no—
1481C23—284no—
1482C23—284no—
1483C23—284no—
1484C23—284no—
1485C23—284no—
1486C23C2×D4×D712yes—
1487C23D7×#4112yes—
1488C23C24×D711yescharacteristic
1489D4—28no—
1490D4—148no—
1491D4—148no—
1492D4—148no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—72no—
1530C2×C4—72no—
1531C2×C4—72no—
1532C2×C4—72no—
1533C2×C4—72no—
1534C2×C4—148no—
1535C2×C4—148no—
1536C2×C4—148no—
1537C2×C4—148no—
1538C2×C4—148no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—141no—
1572C2×C4—141no—
1573C2×C4—284no—
1574C2×C4—284no—
1575C2×C4—284no—
1576C2×C4—284no—
1577C2×C4—284no—
1578C2×C4—284no—
1579C2×C4—284no—
1580C2×C4—284no—
1581C2×C4—284no—
1582C2×C4—284no—
1583C2×C4—284no—
1584C2×C4—284no—
1585C2×C4—284no—
1586C2×C4—284no—
1587C2×C4C2×D4×D712yes—
1588C2×C4C2×D4×D712yes—
1589C2×C4D7×#4112yes—
1590C2×C4D7×#4112yes—
1591C2×C4D7×#4112yes—
1592C7C2×#246611yescharacteristic, complemented, Sylow
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—74no—
1608C22—74no—
1609C22—74no—
1610C22—74no—
1611C22—74no—
1612C22—74no—
1613C22—74no—
1614C22—142no—
1615C22—142no—
1616C22—142no—
1617C22—142no—
1618C22—142no—
1619C22—142no—
1620C22—2816no—
1621C22—2816no—
1622C22—281no—
1623C22—281no—
1624C22—281no—
1625C22—281no—
1626C22—281no—
1627C22—281no—
1628C22—281no—
1629C22—281no—
1630C22C22×D4×D711yescharacteristic
1631C22C2×D7×#4111yescharacteristic
1632C22C2×D7×#4111yescharacteristic
1633C22C2×D7×#4111yescharacteristic
1634C22C2×D7×#4111yescharacteristic
1635C22D7×H(5,𝔽2)11yescharacteristic
1636C22D7×2−1+411yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—142no—
1651C4—142no—
1652C4—142no—
1653C4—142no—
1654C4—142no—
1655C4—281no—
1656C4—281no—
1657C4—281no—
1658C4—281no—
1659C4—281no—
1660C4—281no—
1661C4—281no—
1662C4—281no—
1663C2—42no—
1664C2—42no—
1665C2—78no—
1666C2—282no—
1667C2—282no—
1668C2D7×#52511yescharacteristic
1669C2D7×#52911yescharacteristic
1670C2D7×#53911yescharacteristic
1671C2D7×#54611yescharacteristic
1672C2D7×#54711yescharacteristic
1673C2D7×#55311yescharacteristic
1674C2D7×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2466C2
prime radicalC22×D4×D7C22
hypercenter#2466D7
hypocenterC7C2×#2466
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2466

Complements

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

NH ≅ G/Ntype
1. C2×D7×#126C2semidirect
3. C7×#2466C2semidirect
4. #11740550C2semidirect
5. #11739814C2semidirect
6. D7×#397C2semidirect
7. #11734916C2semidirect
8. D7×#396C2semidirect
9. #11734742C2semidirect
12. #11734364C2semidirect
13. #11734363C2semidirect
14. D7×#389C2semidirect
15. D7×#389C2semidirect
16. #11733465C2semidirect
17. #11733464C2semidirect
18. D7×#388C2semidirect
19. #11732961C2semidirect
20. #11732775C2semidirect
21. D7×#387C2semidirect
22. D7×#387C2semidirect
23. #11732445C2semidirect
24. D7×#385C2semidirect
25. D7×#385C2semidirect
26. #11731880C2semidirect
27. #11731879C2semidirect
28. D7×#381C2semidirect
29. #11731516C2semidirect
30. #11731037C2semidirect
31. C4×D7×C22⋊C4C2semidirect
35. C2×C7×#126C22semidirect
42. C2×#6461C22semidirect
43. C2×#6461C22semidirect
44. C2×#6461C22semidirect
67. C2×#6442C22semidirect
68. C2×#6442C22semidirect
69. C2×#6442C22semidirect
70. C2×#6439C22semidirect
75. C7×#397C22semidirect
76. C7×#396C22semidirect
79. C7×#389C22semidirect
80. C7×#389C22semidirect
81. C7×#388C22semidirect
82. C7×#387C22semidirect
83. C7×#387C22semidirect
84. C7×#385C22semidirect
85. C7×#385C22semidirect
86. C7×#381C22semidirect
87. C4×C7×C22⋊C4C22semidirect
90. #89983C22semidirect
91. #89982C22semidirect
92. #89982C22semidirect
93. C4×C22⋊Dic7C22semidirect
94. #89766C22semidirect
95. #89766C22semidirect
96. #89766C22semidirect
97. #89765C22semidirect
100. #89762C22semidirect
101. #89761C22semidirect
102. #89761C22semidirect
103. #89761C22semidirect
104. #89761C22semidirect
105. #89757C22semidirect
106. #89757C22semidirect
107. #89753C22semidirect
108. #89753C22semidirect
109. #89750C22semidirect
110. #89750C22semidirect
111. #89745C22semidirect
112. #89745C22semidirect
113. #89744C22semidirect
114. #89744C22semidirect
115. #89744C22semidirect
116. #89744C22semidirect
125. #89725C22semidirect
126. #89724C22semidirect
127. #89724C22semidirect
128. #89723C22semidirect
129. #89722C22semidirect
130. #89722C22semidirect
131. #89720C22semidirect
132. #89720C22semidirect
133. #89720C22semidirect
134. #89718C22semidirect
135. #89718C22semidirect
136. #89717C22semidirect
137. #89716C22semidirect
138. #89715C22semidirect
139. #89715C22semidirect
140. C22⋊C4×Dic7C22semidirect
141. C22⋊C4×Dic7C22semidirect
142. #89712C22semidirect
143. C4×(C2×D7)⋊C4C22semidirect
144. C4×(C2×D7)⋊C4C22semidirect
145. #89705C22semidirect
146. #89705C22semidirect
147. #89700C22semidirect
148. #89700C22semidirect
149. #89448C22semidirect
150. #89447C22semidirect
151. #89447C22semidirect
152. #89446C22semidirect
155. #89442C22semidirect
156. #89441C22semidirect
157. #89440C22semidirect
158. #89440C22semidirect
159. #89440C22semidirect
160. #89440C22semidirect
161. #89438C22semidirect
162. #89438C22semidirect
163. #89436C22semidirect
164. #89436C22semidirect
165. #89436C22semidirect
166. #89436C22semidirect
177. #89427C22semidirect
178. #89427C22semidirect
179. #89426C22semidirect
180. #89426C22semidirect
181. #89425C22semidirect
182. #89425C22semidirect
183. #89424C22semidirect
184. #89424C22semidirect
185. #89419C22semidirect
186. #89419C22semidirect
187. #89419C22semidirect
188. #89419C22semidirect
409. #2466D7direct (N × H)
645. C2×#126C2×D7semidirect
684. #397C2×D7semidirect
692. #396C2×D7semidirect
723. #389C2×D7semidirect
724. #389C2×D7semidirect
732. #388C2×D7semidirect
747. #387C2×D7semidirect
748. #387C2×D7semidirect
763. #385C2×D7semidirect
764. #385C2×D7semidirect
772. #381C2×D7semidirect
780. C4×C22⋊C4C2×D7semidirect
1438. D7#2466direct (N × H)
1592. C7C2×#2466semidirect

Maximal subgroups

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

subgroupindex
C2×D7×#1262
C2×C4×D4×D72
C7×#24662
#117405502
#117398142
D7×#3972
#117349162
D7×#3962
#117347422
D7×#3942
#117343642
#117343632
D7×#3892
#117334652
#117334642
D7×#3882
#117329612
#117327752
D7×#3872
#117324452
D7×#3852
#117318802
#117318792
D7×#3812
#117315162
#117310372
C4×D7×C22⋊C42
C2×#24667