Finite Group Databasebeta

← #13524839

Subgroups — #13524839

Order 1792.

2458 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90271C211yesmaximal, characteristic, complemented
2C2×#90229C211yesmaximal, characteristic, complemented
3C4×C7×#124C211yesmaximal, characteristic, complemented
4#11740420C211yesmaximal, characteristic, complemented
5#11740409C211yesmaximal, characteristic, complemented
6#11739912C211yesmaximal, characteristic, complemented
7#11739792C211yesmaximal, characteristic, complemented
8#11734080C211yesmaximal, characteristic, complemented
9#11733983C211yesmaximal, characteristic, complemented
10#11733892C211yesmaximal, characteristic, complemented
11#11733800C211yesmaximal, characteristic, complemented
12#11733321C211yesmaximal, characteristic, complemented
13#11733303C211yesmaximal, characteristic, complemented
14#11733044C211yesmaximal, characteristic, complemented
15#11733042C211yesmaximal, characteristic, complemented
16#11733041C211yesmaximal, characteristic, complemented
17#11733039C211yesmaximal, characteristic, complemented
18#11733007C211yesmaximal, characteristic, complemented
19#11732956C211yesmaximal, characteristic, complemented
20#11731626C211yesmaximal, characteristic, complemented
21#11731620C211yesmaximal, characteristic, complemented
22#11731026C211yesmaximal, characteristic, complemented
23#11731026C211yesmaximal, characteristic, complemented
24C4×#6447C211yesmaximal, characteristic, complemented
25C4×#6447C211yesmaximal, characteristic, complemented
26#11731007C211yesmaximal, characteristic, complemented
27#11730884C211yesmaximal, characteristic, complemented
28#11730883C211yesmaximal, characteristic, complemented
29C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
30C4×#6438C211yesmaximal, characteristic, complemented
31C4×#6435C211yesmaximal, characteristic, complemented
32C2×C7×#124C2211yescharacteristic
33C2×C4×C7×Q8C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×#6510C2211yescharacteristic
36C2×#6509C2211yescharacteristic
37C2×#6502C2211yescharacteristic
38C2×#6498C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×#6489C2211yescharacteristic
46C22×C4×Dic7C2211yescharacteristic
47#90271—28no—
48#90229—28no—
49C2×#6461C2211yescharacteristic
50C2×#6461C2211yescharacteristic
51C2×#6461C2211yescharacteristic
52C2×#6458C2211yescharacteristic
53C2×#6457C2211yescharacteristic
54C2×#6457C2211yescharacteristic
55C2×#6453C2211yescharacteristic
56C2×#6452C2211yescharacteristic
57C2×#6449C2211yescharacteristic
58C2×#6448C2211yescharacteristic
59C2×#6447C2211yescharacteristic
60C2×#6447C2211yescharacteristic
61C2×(C22⋊D7)⋊C4C2211yescharacteristic
62C2×(C22⋊D7)⋊C4C2211yescharacteristic
63C2×#6442C2211yescharacteristic
64C2×#6441C2211yescharacteristic
65C2×#6438C2211yescharacteristic
66C2×C4×D28C2211yescharacteristic
67C2×C4×D28C2211yescharacteristic
68C2×C4×D28C2211yescharacteristic
69C2×#6435C2211yescharacteristic
70C2×#6435C2211yescharacteristic
71C2×#6435C2211yescharacteristic
72C2×C42×D7C2211yescharacteristic
73C2×C42×D7C2211yescharacteristic
74C2×C4×Dic14C2211yescharacteristic
75C7×#391C2211yescharacteristic
76C7×#390C2211yescharacteristic
77C7×#388C2211yescharacteristic
78C7×#388C2211yescharacteristic
79C7×#388C2211yescharacteristic
80C7×#388C2211yescharacteristic
81C7×#382C2211yescharacteristic
82C4×C7×C22⋊C4C2211yescharacteristic
83C4×C7×C22⋊C4C2211yescharacteristic
84C4×C7×C22⋊C4C2211yescharacteristic
85C4×C7×C22⋊C4C2211yescharacteristic
86C43×C7C2211yescharacteristic
87#90001C2211yescharacteristic
88#90001C2211yescharacteristic
89#89995C2211yescharacteristic
90#89995C2211yescharacteristic
91#89764C2211yescharacteristic
92#89764C2211yescharacteristic
93#89755C2211yescharacteristic
94#89755C2211yescharacteristic
95#89752C2211yescharacteristic
96#89752C2211yescharacteristic
97#89751C2211yescharacteristic
98#89751C2211yescharacteristic
99#89732C2211yescharacteristic
100#89732C2211yescharacteristic
101#89732C2211yescharacteristic
102#89732C2211yescharacteristic
103#89731C2211yescharacteristic
104#89731C2211yescharacteristic
105#89731C2211yescharacteristic
106#89731C2211yescharacteristic
107#89730C2211yescharacteristic
108#89730C2211yescharacteristic
109#89729C2211yescharacteristic
110#89729C2211yescharacteristic
111#89729C2211yescharacteristic
112#89729C2211yescharacteristic
113#89728C2211yescharacteristic
114#89728C2211yescharacteristic
115#89728C2211yescharacteristic
116#89728C2211yescharacteristic
117#89723C2211yescharacteristic
118#89723C2211yescharacteristic
119#89721C2211yescharacteristic
120#89721C2211yescharacteristic
121#89720C2211yescharacteristic
122#89720C2211yescharacteristic
123#89718C2211yescharacteristic
124#89718C2211yescharacteristic
125#89717C2211yescharacteristic
126#89717C2211yescharacteristic
127#89716C2211yescharacteristic
128#89716C2211yescharacteristic
129C22⋊C4×Dic7C2211yescharacteristic
130C22⋊C4×Dic7C2211yescharacteristic
131#89712C2211yescharacteristic
132#89712C2211yescharacteristic
133#89712C2211yescharacteristic
134#89712C2211yescharacteristic
135#89711C2211yescharacteristic
136C4×(C2×D7)⋊C4C2211yescharacteristic
137C4×(C2×D7)⋊C4C2211yescharacteristic
138C4×(C2×D7)⋊C4C2211yescharacteristic
139C4×(C2×D7)⋊C4C2211yescharacteristic
140C4×(C2×D7)⋊C4C2211yescharacteristic
141C4×(C2×D7)⋊C4C2211yescharacteristic
142C4×(C2×D7)⋊C4C2211yescharacteristic
143C4×(C2×D7)⋊C4C2211yescharacteristic
144#89708C2211yescharacteristic
145#89704C2211yescharacteristic
146#89704C2211yescharacteristic
147C4×Dic7⋊C4C2211yescharacteristic
148C4×Dic7⋊C4C2211yescharacteristic
149C4×Dic7⋊C4C2211yescharacteristic
150C4×Dic7⋊C4C2211yescharacteristic
151C4×Dic7⋊C4C2211yescharacteristic
152C4×Dic7⋊C4C2211yescharacteristic
153C4×Dic7⋊C4C2211yescharacteristic
154C4×Dic7⋊C4C2211yescharacteristic
155C42×Dic7C2211yescharacteristic
156#89701C2211yescharacteristic
157#89448C2211yescharacteristic
158#89448C2211yescharacteristic
159#89447C2211yescharacteristic
160#89447C2211yescharacteristic
161#89444C2211yescharacteristic
162#89444C2211yescharacteristic
163#89442C2211yescharacteristic
164#89442C2211yescharacteristic
165#89441C2211yescharacteristic
166#89441C2211yescharacteristic
167#89441C2211yescharacteristic
168#89441C2211yescharacteristic
169#89440C2211yescharacteristic
170#89440C2211yescharacteristic
171#89439C2211yescharacteristic
172#89439C2211yescharacteristic
173#89438C2211yescharacteristic
174#89438C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89429C2211yescharacteristic
178#89429C2211yescharacteristic
179#89427C2211yescharacteristic
180#89427C2211yescharacteristic
181#89424C2211yescharacteristic
182#89424C2211yescharacteristic
183#89421C2211yescharacteristic
184#89421C2211yescharacteristic
185#89419C2211yescharacteristic
186#89419C2211yescharacteristic
187#89419C2211yescharacteristic
188#89419C2211yescharacteristic
189#34880—71nomaximal, Sylow
190C22×C7×Q8C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×Dic14C2311yescharacteristic
213C7×#124—24no—
214C4×C7×Q8—24no—
215C4×C7×D4—24no—
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247#6510—24no—
248#6509—24no—
249#6502—24no—
250#6498—24no—
251C4×C22⋊D7—24no—
252C4×C22⋊D7—24no—
253C4×C22⋊D7—24no—
254C4×C22⋊D7—24no—
255C4×C22⋊D7—24no—
256C4×C22⋊D7—24no—
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283#6489—24no—
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×C4×Dic7—24no—
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
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328#6461—24no—
329#6461—24no—
330#6461—24no—
331#6458—24no—
332#6457—24no—
333#6457—24no—
334#6453—24no—
335#6452—24no—
336#6449—24no—
337#6448—24no—
338#6447—24no—
339#6447—24no—
340(C22⋊D7)⋊C4—24no—
341(C22⋊D7)⋊C4—24no—
342#6442—24no—
343#6441—24no—
344#6438—24no—
345C4×D28—24no—
346C4×D28—24no—
347C4×D28—24no—
348#6435—24no—
349#6435—24no—
350#6435D418yescomplemented
351C42×D7—24no—
352C42×D7—24no—
353C4×Dic14—24no—
354C7×#95C2311yescharacteristic
355C7×#95C2311yescharacteristic
356C7×#95C2311yescharacteristic
357C7×#95C2311yescharacteristic
358C7×#95C2311yescharacteristic
359C7×#95C2311yescharacteristic
360C7×#95C2311yescharacteristic
361C7×#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#529—71no—
387C2×#529—71no—
388#2556—71no—
389#2556—71no—
390#2555—71no—
391#2555—71no—
392#2554—71no—
393#2554—71no—
394#2553—71no—
395#2553—71no—
396#2521—71no—
397#2521—71no—
398#2519—71no—
399#2519—71no—
400#2464—71no—
401#2464—71no—
402#2461—71no—
403#2461—71no—
404#2399—71no—
405#2397—71no—
406#2392—71no—
407#2392—71no—
408C4×#124—71no—
409C4×#124D711yescharacteristic, complemented
410C4×#121—71no—
411C4×#121—71no—
412#2293—71no—
413#2290—71no—
414#2290—71no—
415C42×D4—71no—
416C4×#117—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C23×D7C2411yescharacteristic
421C23×D7C2411yescharacteristic
422C2×C7×Q8—22no—
423C2×C7×Q8—22no—
424C2×C7×Q8—41no—
425C2×C7×D4—22no—
426C2×C7×D4—22no—
427C2×C7×D4—41no—
428C22×C4×C7—22no—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—22no—
432C22×C4×C7—22no—
433C22×C4×C7—22no—
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7—41no—
465C22×Dic7—22no—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—41no—
470C22×Dic7—41no—
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C2×D28—22no—
485C2×D28—22no—
486C2×D28—22no—
487C2×D28—22no—
488C2×D28—22no—
489C2×D28—22no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28—41no—
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—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7C2×D414yes—
514C2×Dic14—22no—
515C2×Dic14—22no—
516C2×Dic14—41no—
517C7×C4⋊C4—22no—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4#4114yes—
531C42×C7—22no—
532C42×C7—22no—
533C42×C7—22no—
534C42×C7—22no—
535C42×C7—22no—
536C42×C7—22no—
537C42×C7—41no—
538C42×C7—41no—
539C42×C7C2×D414yes—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4C2×D414yes—
572(C2×D7)⋊C4C2×D414yes—
573(C2×D7)⋊C4#4114yes—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—22no—
577C4⋊Dic7—22no—
578C4⋊Dic7—22no—
579C4⋊Dic7—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—22no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—22no—
590Dic7⋊C4—22no—
591Dic7⋊C4—22no—
592Dic7⋊C4—22no—
593Dic7⋊C4—22no—
594Dic7⋊C4—22no—
595Dic7⋊C4—22no—
596Dic7⋊C4—41no—
597Dic7⋊C4—41no—
598Dic7⋊C4—41no—
599Dic7⋊C4—41no—
600Dic7⋊C4C2×D414yes—
601Dic7⋊C4C2×D414yes—
602C4×Dic7—22no—
603C4×Dic7—22no—
604C4×Dic7—22no—
605C4×Dic7—22no—
606C4×Dic7—22no—
607C4×Dic7—22no—
608C4×Dic7—22no—
609C4×Dic7—22no—
610C4×Dic7—22no—
611C4×Dic7—22no—
612C4×Dic7—41no—
613C4×Dic7—41no—
614C4×Dic7C2×D414yes—
615C4×Dic7#4114yes—
616C4×Dic7#4114yes—
617#529—148no—
618#529—148no—
619C2×#126—71no—
620C2×#126—71no—
621C2×#126—71no—
622C2×#126—71no—
623C2×#125—71no—
624C2×#125—71no—
625C2×#124—71no—
626C2×#124—71no—
627C2×#124—71no—
628C2×#124C2×D711yescharacteristic
629C2×#123—71no—
630C2×#123—71no—
631C2×#123—71no—
632C2×#123—71no—
633C2×C22⋊Q8—71no—
634C2×C22⋊Q8—71no—
635C2×#121—71no—
636C2×#121—71no—
637C2×#121—71no—
638C2×#121—71no—
639C2×C4×Q8—71no—
640C2×C4×Q8C2×D711yescharacteristic
641C2×C4×D4—71no—
642C2×C4×D4—71no—
643C2×C4×D4—71no—
644C2×C4×D4—71no—
645C2×C4×D4—71no—
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×D4C2×D711yescharacteristic
653C2×#117—71no—
654C2×#117—71no—
655C2×#117—71no—
656C2×#117—71no—
657C22×C42—71no—
658C22×C42—71no—
659C22×C42—71no—
660#399—71no—
661#399—71no—
662#399—71no—
663#399—71no—
664#398—71no—
665#398—71no—
666#398—71no—
667#398—71no—
668#398—71no—
669#398—71no—
670#397—71no—
671#397—71no—
672#396—71no—
673#396—71no—
674#396—71no—
675#396—71no—
676#395—71no—
677#395—71no—
678#395—71no—
679#395—71no—
680#394—71no—
681#394—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#392—71no—
687#392—71no—
688#392—71no—
689#392—71no—
690#392—71no—
691#392—71no—
692#391—71no—
693#391C2×D711yescharacteristic
694#390—71no—
695#390—71no—
696#390—71no—
697#390—71no—
698#390—71no—
699#390C2×D711yescharacteristic
700#389—71no—
701#389—71no—
702#389—71no—
703#389—71no—
704#388—71no—
705#388—71no—
706#388—71no—
707#388—71no—
708#388—71no—
709#388—71no—
710#388—71no—
711#388—71no—
712#388—71no—
713#388—71no—
714#388—71no—
715#388—71no—
716#388—71no—
717#388—71no—
718#388—71no—
719#388—71no—
720#388C2×D711yescharacteristic
721#388C2×D711yescharacteristic
722#388C2×D711yescharacteristic
723#388C2×D711yescharacteristic
724#387—71no—
725#387—71no—
726#387—71no—
727#387—71no—
728#386—71no—
729#386—71no—
730#386—71no—
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#385—71no—
737#385—71no—
738#385—71no—
739#385—71no—
740#382—71no—
741#382C2×D711yescharacteristic
742#380—71no—
743#380—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊C4—71no—
747C4×C4⋊C4—71no—
748C4×C4⋊C4—71no—
749C4×C4⋊C4—71no—
750C4×C4⋊C4—71no—
751C4×C4⋊C4—71no—
752C4×C4⋊C4—71no—
753C4×C4⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758C4×C22⋊C4—71no—
759C4×C22⋊C4—71no—
760C4×C22⋊C4—71no—
761C4×C22⋊C4—71no—
762C4×C22⋊C4—71no—
763C4×C22⋊C4—71no—
764C4×C22⋊C4—71no—
765C4×C22⋊C4—71no—
766C4×C22⋊C4C2×D711yescharacteristic
767C4×C22⋊C4C2×D711yescharacteristic
768C4×C22⋊C4C2×D711yescharacteristic
769C4×C22⋊C4C2×D711yescharacteristic
770#376—71no—
771#376—71no—
772C43—71no—
773C43C2×D711yescharacteristic
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7C2×#4112yes—
788C23×C7C2511yescharacteristic
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7C22×D412yes—
809C22×D7C2×#4112yes—
810C7×Q8—44no—
811C7×D4—44no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—44no—
844C2×C4×C7—44no—
845C2×C4×C7C22×D412yes—
846C2×C4×C7C22×D412yes—
847C2×C4×C7C22×D412yes—
848C2×C4×C7C2×#4112yes—
849C2×C4×C7C2×#4112yes—
850C2×C4×C7C2×#4112yes—
851C2×C4×C7C2×#4112yes—
852C2×C4×C7C2×#4112yes—
853C22⋊D7—28no—
854C22⋊D7—44no—
855C22⋊D7—44no—
856C22⋊D7—44no—
857C22⋊D7—44no—
858C22⋊D7—44no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—44no—
891C2×Dic7—44no—
892C2×Dic7C22×D412yes—
893C2×Dic7C22×D412yes—
894C2×Dic7C22×D412yes—
895C2×Dic7C2×#4112yes—
896C2×Dic7C2×#4112yes—
897C2×Dic7C2×#4112yes—
898C2×Dic7C2×#4112yes—
899C2×Dic7C2×#4112yes—
900D28—44no—
901D28—44no—
902D28—44no—
903C4×D7—28no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—44no—
908C4×D7—44no—
909C4×D7—44no—
910Dic14—44no—
911C22×Q8—71no—
912C22×Q8C22×D711yescharacteristic
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4C22×D711yescharacteristic
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934#126—144no—
935#126—144no—
936#126—144no—
937#126—144no—
938#125—144no—
939#125—144no—
940#124—24no—
941#124—144no—
942#124—144no—
943#124—144no—
944#123—144no—
945#123—144no—
946#123—144no—
947#123—144no—
948C22⋊Q8—144no—
949C22⋊Q8—144no—
950#121—144no—
951#121—144no—
952#121—144no—
953#121—144no—
954C4×Q8—24no—
955C4×Q8—144no—
956C4×D4—24no—
957C4×D4—144no—
958C4×D4—144no—
959C4×D4—144no—
960C4×D4—144no—
961C4×D4—144no—
962C4×D4—144no—
963C4×D4—144no—
964C4×D4—144no—
965C4×D4—144no—
966C4×D4—144no—
967C4×D4—144no—
968#117—78no—
969#117—144no—
970#117—144no—
971#117—144no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—71no—
991C2×C4⋊C4—71no—
992C2×C4⋊C4—71no—
993C2×C4⋊C4—71no—
994C2×C4⋊C4—71no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4C22×D711yescharacteristic
1001C2×C4⋊C4C22×D711yescharacteristic
1002C2×C4⋊C4C22×D711yescharacteristic
1003C2×C4⋊C4C22×D711yescharacteristic
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C22⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4C22×D711yescharacteristic
1042C2×C22⋊C4C22×D711yescharacteristic
1043C2×C22⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—71no—
1054C2×C42—71no—
1055C2×C42—71no—
1056C2×C42—71no—
1057C2×C42—71no—
1058C2×C42—71no—
1059C2×C42—71no—
1060C2×C42—71no—
1061C2×C42—71no—
1062C2×C42—71no—
1063C2×C42—144no—
1064C2×C42—144no—
1065C2×C42—144no—
1066C2×C42C22×D711yescharacteristic
1067C2×C42C22×D711yescharacteristic
1068C2×C42C22×D711yescharacteristic
1069C2×C42C22×D711yescharacteristic
1070C2×C42C22×D711yescharacteristic
1071C2×C42C22×D711yescharacteristic
1072C2×C42C22×D711yescharacteristic
1073C2×C42C22×D711yescharacteristic
1074C2×C42C22×D711yescharacteristic
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95—71no—
1092#95—71no—
1093#95—71no—
1094#95—71no—
1095#95—71no—
1096#95—71no—
1097#95—71no—
1098#95—71no—
1099#95C22×D711yescharacteristic
1100#95C22×D711yescharacteristic
1101#95C22×D711yescharacteristic
1102#95C22×D711yescharacteristic
1103#95C22×D711yescharacteristic
1104#95C22×D711yescharacteristic
1105#95C22×D711yescharacteristic
1106#95C22×D711yescharacteristic
1107C22×C7—22no—
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7C23×D411yescharacteristic
1122C22×C7C22×#4111yescharacteristic
1123C22×C7C22×#4111yescharacteristic
1124C22×C7C22×#4111yescharacteristic
1125C22×C7C22×#4111yescharacteristic
1126C22×C7#58511yescharacteristic
1127C22×C7#58511yescharacteristic
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—22no—
1133C2×D7—22no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C2×D7—41no—
1142C2×D7—41no—
1143C2×D7—41no—
1144C2×D7—41no—
1145C2×D7—41no—
1146C2×D7—41no—
1147C2×D7—41no—
1148C2×D7—41no—
1149C4×C7—22no—
1150C4×C7—22no—
1151C4×C7—22no—
1152C4×C7—22no—
1153C4×C7—22no—
1154C4×C7—41no—
1155C4×C7—41no—
1156C4×C7—41no—
1157C4×C7—41no—
1158C4×C7—41no—
1159C4×C7—41no—
1160C4×C7—41no—
1161C4×C7#53214yes—
1162Dic7—22no—
1163Dic7—22no—
1164Dic7—22no—
1165Dic7—22no—
1166Dic7—22no—
1167Dic7—22no—
1168Dic7—22no—
1169Dic7—22no—
1170Dic7—41no—
1171Dic7—41no—
1172Dic7—41no—
1173Dic7—41no—
1174Dic7—41no—
1175C24—71no—
1176C24—71no—
1177C24—71no—
1178C24C23×D711yescharacteristic
1179C24C23×D711yescharacteristic
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—41no—
1183C2×Q8—142no—
1184C2×Q8—142no—
1185C2×Q8—281no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—41no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—142no—
1199C2×D4—142no—
1200C2×D4—142no—
1201C2×D4—142no—
1202C2×D4—142no—
1203C2×D4—142no—
1204C2×D4—142no—
1205C2×D4—142no—
1206C2×D4—142no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—74no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—142no—
1249C22×C4—142no—
1250C22×C4—142no—
1251C22×C4—142no—
1252C22×C4—142no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—142no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4C23×D711yescharacteristic
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—74no—
1280C4⋊C4—74no—
1281C4⋊C4—142no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—142no—
1293C4⋊C4—142no—
1294C4⋊C4—142no—
1295C4⋊C4—142no—
1296C4⋊C4—142no—
1297C4⋊C4—142no—
1298C4⋊C4—142no—
1299C4⋊C4—142no—
1300C4⋊C4—142no—
1301C4⋊C4—142no—
1302C4⋊C4—142no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—74no—
1317C22⋊C4—74no—
1318C22⋊C4—74no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—142no—
1333C22⋊C4—142no—
1334C22⋊C4—142no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4#115714yes—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—41no—
1358C42—41no—
1359C42—74no—
1360C42—74no—
1361C42—74no—
1362C42—142no—
1363C42—142no—
1364C42—142no—
1365C42—142no—
1366C42—142no—
1367C42—142no—
1368C42—142no—
1369C42—142no—
1370C42—142no—
1371C42—142no—
1372C42—281no—
1373C42—281no—
1374C42D4×D714yes—
1375C2×C7—42no—
1376C2×C7—81no—
1377C2×C7C2×#53211yescharacteristic
1378C2×C7#344411yescharacteristic
1379C2×C7#345511yescharacteristic
1380C2×C7D4×#4111yescharacteristic
1381C2×C7D4×#4111yescharacteristic
1382C2×C7#347511yescharacteristic
1383C2×C7#347511yescharacteristic
1384D7—42no—
1385D7—42no—
1386D7—81no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—72no—
1401C23—72no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23C2×#115712yes—
1422C23C24×D711yescharacteristic
1423Q8—44no—
1424Q8—284no—
1425D4—44no—
1426D4—148no—
1427D4—284no—
1428D4—284no—
1429D4—284no—
1430D4—284no—
1431D4—284no—
1432D4—284no—
1433D4—284no—
1434D4—284no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—72no—
1471C2×C4—72no—
1472C2×C4—72no—
1473C2×C4—72no—
1474C2×C4—72no—
1475C2×C4—72no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—148no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—284no—
1514C2×C4—284no—
1515C2×C4—284no—
1516C2×C4C2×#115712yes—
1517C2×C4C2×#115712yes—
1518C2×C4C2×D4×D712yes—
1519C2×C4C2×D4×D712yes—
1520C2×C4C2×D4×D712yes—
1521C2×C4D7×#4112yes—
1522C2×C4D7×#4112yes—
1523C2×C4D7×#4112yes—
1524C7#3488011yescharacteristic, complemented, Sylow
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—281no—
1546C22—281no—
1547C22—281no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22C22×#115711yescharacteristic
1561C22C22×D4×D711yescharacteristic
1562C22C2×D7×#4111yescharacteristic
1563C22C2×D7×#4111yescharacteristic
1564C22C2×D7×#4111yescharacteristic
1565C22#9061611yescharacteristic
1566C22#9061611yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—142no—
1580C4—142no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—281no—
1588C4—281no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4#9035914yes—
1593C2—42no—
1594C2—81no—
1595C2—282no—
1596C2—282no—
1597C2—561no—
1598C2D4×#115711yescharacteristic
1599C2#1174290411yescharacteristic
1600C2#1174290911yescharacteristic
1601C2C2×#9035911yescharacteristic
1602C2#1174321411yescharacteristic
1603C2#1174321811yescharacteristic
1604C2#1174330611yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC4×C7×#124C2
hypercenterC4×#124D7
hypocenterC7#34880
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C4×#124

Complements

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

NH ≅ G/Ntype
1. C2×#90271C2semidirect
2. C2×#90229C2semidirect
3. C4×C7×#124C2semidirect
4. #11740420C2semidirect
5. #11740409C2semidirect
6. #11739912C2semidirect
7. #11739792C2semidirect
8. #11734080C2semidirect
9. #11733983C2semidirect
10. #11733892C2semidirect
11. #11733800C2semidirect
12. #11733321C2semidirect
13. #11733303C2semidirect
14. #11733044C2semidirect
15. #11733042C2semidirect
16. #11733041C2semidirect
17. #11733039C2semidirect
18. #11733007C2semidirect
19. #11732956C2semidirect
20. #11731626C2semidirect
21. #11731620C2semidirect
22. #11731026C2semidirect
23. #11731026C2semidirect
24. C4×#6447C2semidirect
25. C4×#6447C2semidirect
26. #11731007C2semidirect
27. #11730884C2semidirect
28. #11730883C2semidirect
29. C4×(C22⋊D7)⋊C4C2semidirect
30. C4×#6438C2semidirect
31. C4×#6435C2semidirect
350. #6435D4semidirect
409. C4×#124D7semidirect
1524. C7#34880semidirect

Maximal subgroups

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

subgroupindex
C2×#902712
C2×#902292
C4×C7×#1242
#117404202
#117404092
#117399122
#117397922
#117340802
#117339832
#117338922
#117338002
#117333212
#117333032
#117330442
#117330422
#117330412
#117330392
#117330072
#117329562
#117316262
#117316202
#117310262
C4×#64472
#117310072
#117308842
#117308832
C4×(C22⋊D7)⋊C42
C4×#64382
C4×#64352
#348807