Finite Group Databasebeta

← #13522597

Subgroups — #13522597

Order 1792.

2668 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#6489C211yesmaximal, characteristic, complemented
2C2×#90229C211yesmaximal, characteristic, complemented
3C4×C7×#120C211yesmaximal, characteristic, complemented
4C4×#6516C211yesmaximal, characteristic, complemented
5#11740032C211yesmaximal, characteristic
6#11740030C211yesmaximal, characteristic, complemented
7#11739791C211yesmaximal, characteristic, complemented
8#11739790C211yesmaximal, characteristic, complemented
9C4×#6502C211yesmaximal, characteristic, complemented
10#11739763C211yesmaximal, characteristic, complemented
11C4×D4×Dic7C211yesmaximal, characteristic, complemented
12#11732178C211yesmaximal, characteristic, complemented
13#11732175C211yesmaximal, characteristic, complemented
14#11732170C211yesmaximal, characteristic, complemented
15#11732168C211yesmaximal, characteristic, complemented
16#11732155C211yesmaximal, characteristic, complemented
17#11732148C211yesmaximal, characteristic, complemented
18#11731899C211yesmaximal, characteristic, complemented
19#11731896C211yesmaximal, characteristic, complemented
20#11731894C211yesmaximal, characteristic, complemented
21#11731890C211yesmaximal, characteristic, complemented
22#11731889C211yesmaximal, characteristic, complemented
23#11731886C211yesmaximal, characteristic, complemented
24#11731275C211yesmaximal, characteristic, complemented
25#11731274C211yesmaximal, characteristic, complemented
26#11731028C211yesmaximal, characteristic, complemented
27#11730925C211yesmaximal, characteristic, complemented
28C4×#6441C211yesmaximal, characteristic, complemented
29#11730885C211yesmaximal, characteristic, complemented
30#11730884C211yesmaximal, characteristic, complemented
31#11730883C211yesmaximal, characteristic, complemented
32C24×C4×C7C2211yescharacteristic
33C2×C7×#120C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×C4×C7×D4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6498C2211yescharacteristic
43C2×D4×Dic7C2211yescharacteristic
44C2×D4×Dic7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic, complemented
49C2×#6489—28no—
50C2×#6489C2211yescharacteristic
51C2×#6489C2211yescharacteristic
52C2×#6489C2211yescharacteristic
53C2×#6489C2211yescharacteristic
54C2×#6489C2211yescharacteristic
55C2×#6489C2211yescharacteristic
56C2×#6489C2211yescharacteristic
57C2×#6489C2211yescharacteristic
58C22×C4⋊Dic7C2211yescharacteristic
59C22×C4⋊Dic7C2211yescharacteristic
60C22×C4×Dic7C2211yescharacteristic
61C22×C4×Dic7C2211yescharacteristic
62C22×C4×Dic7C2211yescharacteristic, complemented
63#90229—28no—
64C2×#6461C2211yescharacteristic, complemented
65C2×#6452C2211yescharacteristic, complemented
66C2×#6449C2211yescharacteristic, complemented
67C2×#6448C2211yescharacteristic
68C2×#6442C2211yescharacteristic
69C2×#6441C2211yescharacteristic
70C2×#6441C2211yescharacteristic, complemented
71C2×#6435C2211yescharacteristic, complemented
72C2×C4×Dic14C2211yescharacteristic, complemented
73C7×#386C2211yescharacteristic
74C7×#386C2211yescharacteristic
75C7×#386C2211yescharacteristic
76C7×#385C2211yescharacteristic
77C7×#385C2211yescharacteristic
78C7×#385C2211yescharacteristic
79C7×#379C2211yescharacteristic
80C4×C7×C22⋊C4C2211yescharacteristic
81C4×C7×C22⋊C4C2211yescharacteristic
82C4×C7×C22⋊C4C2211yescharacteristic
83#90019C2211yescharacteristic
84#89995C2211yescharacteristic
85#89994C2211yescharacteristic
86#89994C2211yescharacteristic
87#89994C2211yescharacteristic
88#89992C2211yescharacteristic
89#89992C2211yescharacteristic
90#89992C2211yescharacteristic
91#89985C2211yescharacteristic
92#89985C2211yescharacteristic
93#89985C2211yescharacteristic
94#89982C2211yescharacteristic
95#89982C2211yescharacteristic
96#89982C2211yescharacteristic
97C4×C22⋊Dic7C2211yescharacteristic
98C4×C22⋊Dic7C2211yescharacteristic
99C4×C22⋊Dic7C2211yescharacteristic
100C4×C22⋊Dic7C2211yescharacteristic, complemented
101C4×C22⋊Dic7C2211yescharacteristic, complemented
102#89766C2211yescharacteristic, complemented
103#89762C2211yescharacteristic, complemented
104#89758C2211yescharacteristic, complemented
105#89756C2211yescharacteristic, complemented
106#89755C2211yescharacteristic, complemented
107#89753C2211yescharacteristic, complemented
108#89753C2211yescharacteristic, complemented
109C4⋊C4×Dic7C2211yescharacteristic, complemented
110C4⋊C4×Dic7C2211yescharacteristic, complemented
111#89744C2211yescharacteristic, complemented
112#89733C2211yescharacteristic
113#89733C2211yescharacteristic
114#89733C2211yescharacteristic, complemented
115#89731C2211yescharacteristic
116#89730C2211yescharacteristic
117#89730C2211yescharacteristic
118#89730C2211yescharacteristic
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic, complemented
122#89725C2211yescharacteristic
123#89725C2211yescharacteristic
124#89725C2211yescharacteristic, complemented
125#89724C2211yescharacteristic
126#89724C2211yescharacteristic
127#89724C2211yescharacteristic
128#89723C2211yescharacteristic
129#89723C2211yescharacteristic
130#89722C2211yescharacteristic
131#89722C2211yescharacteristic, complemented
132#89722C2211yescharacteristic, complemented
133#89721C2211yescharacteristic
134#89721C2211yescharacteristic, complemented
135#89720C2211yescharacteristic
136#89720C2211yescharacteristic
137#89720C2211yescharacteristic, complemented
138#89719C2211yescharacteristic
139#89718C2211yescharacteristic
140#89718C2211yescharacteristic
141#89718C2211yescharacteristic
142#89717C2211yescharacteristic
143#89717C2211yescharacteristic
144#89717C2211yescharacteristic, complemented
145#89716C2211yescharacteristic
146#89716C2211yescharacteristic
147#89716C2211yescharacteristic
148#89716C2211yescharacteristic
149#89714C2211yescharacteristic
150#89714C2211yescharacteristic
151C22⋊C4×Dic7C2211yescharacteristic
152C22⋊C4×Dic7C2211yescharacteristic
153C22⋊C4×Dic7C2211yescharacteristic, complemented
154C22⋊C4×Dic7C2211yescharacteristic, complemented
155C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
157C4×C4⋊Dic7C2211yescharacteristic, complemented
158C4×C4⋊Dic7C2211yescharacteristic, complemented
159#89704C2211yescharacteristic, complemented
160C4×Dic7⋊C4C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162C4×Dic7⋊C4C2211yescharacteristic, complemented
163C4×Dic7⋊C4C2211yescharacteristic, complemented
164C42×Dic7C2211yescharacteristic, complemented
165#89449C2211yescharacteristic, complemented
166#89446C2211yescharacteristic, complemented
167#89442C2211yescharacteristic, complemented
168#89442C2211yescharacteristic, complemented
169#89441C2211yescharacteristic, complemented
170#89441C2211yescharacteristic, complemented
171#89433C2211yescharacteristic, complemented
172#89433C2211yescharacteristic, complemented
173#89432C2211yescharacteristic, complemented
174#89431C2211yescharacteristic, complemented
175#89429C2211yescharacteristic, complemented
176#89428C2211yescharacteristic, complemented
177#89427C2211yescharacteristic, complemented
178#89426C2211yescharacteristic, 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#89418C2211yescharacteristic, complemented
189#34740—71nomaximal, Sylow
190C25×C7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7—24no—
195C23×C4×C7—24no—
196C23×C4×C7—24no—
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
202C23×C4×C7C2311yescharacteristic
203C23×C4×C7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C23×Dic7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#120—24no—
217C4×C7×D4—24no—
218C4×C7×D4—24no—
219C4×C7×D4—24no—
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊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×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238#6516—24no—
239C2×C22⋊Dic7—24no—
240C2×C22⋊Dic7—24no—
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
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
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263#6502—24no—
264#6502—24no—
265#6498—24no—
266D4×Dic7—24no—
267D4×Dic7—24no—
268C4×C22⋊D7—24no—
269C4×C22⋊D7—24no—
270C4×C22⋊D7—24no—
271C4×C22⋊D7—24no—
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
282#6489—24no—
283#6489—24no—
284#6489—24no—
285#6489—24no—
286#6489—24no—
287#6489—24no—
288#6489—24no—
289#6489D418yescomplemented
290C2×C4⋊Dic7—24no—
291C2×C4⋊Dic7—24no—
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7—24no—
322C2×C4×Dic7—24no—
323C2×C4×Dic7—24no—
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338C2×C4×Dic7C2311yescharacteristic
339C2×C4×Dic7C2311yescharacteristic
340C2×C4×Dic7C2311yescharacteristic
341#6461—24no—
342#6452—24no—
343#6449—24no—
344#6448—24no—
345#6442—24no—
346#6441—24no—
347#6441—24no—
348#6435—24no—
349C4×Dic14—24no—
350C7×#95C2311yescharacteristic
351C7×#95C2311yescharacteristic
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
386C2×#529—71no—
387C22×#117—71no—
388#2481—71no—
389#2480—71no—
390#2479—71no—
391#2478—71no—
392#2477—71no—
393#2476—71no—
394#2475—71no—
395#2474—71no—
396#2473—71no—
397#2472—71no—
398#2471—71no—
399#2470—71no—
400#2449—71no—
401#2443—71no—
402#2424—71no—
403#2418—71no—
404#2396—71no—
405#2395—71no—
406#2395—71no—
407#2392—71no—
408C4×C22⋊Q8—71no—
409C4×#121—71no—
410C4×#120—71no—
411C4×#120D711yescharacteristic, complemented
412#2298—71no—
413#2293—71no—
414#2290—71no—
415#2290—71no—
416C42×D4—71no—
417C24×C7—22no—
418C24×C7—22no—
419C24×C7—22no—
420C24×C7—22no—
421C24×C7—22no—
422C24×C7—41no—
423C24×C7—41no—
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C24×C7C2411yescharacteristic
427C24×C7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C2×C7×D4—22no—
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—41no—
436C2×C7×D4—41no—
437C2×C7×D4#4114yes—
438C22×C4×C7—232no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—22no—
442C22×C4×C7—22no—
443C22×C4×C7—22no—
444C22×C4×C7—22no—
445C22×C4×C7—22no—
446C22×C4×C7—22no—
447C22×C4×C7—22no—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—22no—
452C22×C4×C7—22no—
453C22×C4×C7—22no—
454C22×C4×C7—22no—
455C22×C4×C7—22no—
456C22×C4×C7—22no—
457C22×C4×C7C2×D414yes—
458C22×C4×C7#4114yes—
459C22×C4×C7#4114yes—
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
479C2×C22⋊D7—22no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C22×Dic7—22no—
484C22×Dic7—22no—
485C22×Dic7—22no—
486C22×Dic7—22no—
487C22×Dic7—22no—
488C22×Dic7—22no—
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—22no—
492C22×Dic7—22no—
493C22×Dic7—22no—
494C22×Dic7—22no—
495C22×Dic7—41no—
496C22×Dic7—41no—
497C22×Dic7—41no—
498C22×Dic7—41no—
499C22×Dic7—41no—
500C22×Dic7—41no—
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515C22×Dic7C2411yescharacteristic
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×Dic14—22no—
520C2×Dic14—22no—
521C2×Dic14—41no—
522C7×C4⋊C4—22no—
523C7×C4⋊C4—22no—
524C7×C4⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—22no—
530C7×C22⋊C4—22no—
531C7×C22⋊C4—22no—
532C7×C22⋊C4—22no—
533C7×C22⋊C4—22no—
534C7×C22⋊C4—22no—
535C7×C22⋊C4—41no—
536C7×C22⋊C4—41no—
537C42×C7—22no—
538C42×C7—22no—
539C42×C7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—22no—
546C22⋊Dic7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—22no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—41no—
557C22⋊Dic7—41no—
558C22⋊Dic7—41no—
559C22⋊Dic7C2×D414yes—
560C22⋊Dic7C2×D414yes—
561C22⋊Dic7#4114yes—
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)⋊C4—41no—
572C4⋊Dic7—22no—
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—22no—
577C4⋊Dic7—22no—
578C4⋊Dic7—22no—
579C4⋊Dic7—22no—
580C4⋊Dic7—22no—
581C4⋊Dic7—22no—
582C4⋊Dic7—41no—
583C4⋊Dic7C2×D414yes—
584C4⋊Dic7C2×D414yes—
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⋊C4—41no—
601C4×Dic7—22no—
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—22no—
613C4×Dic7—22no—
614C4×Dic7—41no—
615C4×Dic7—41no—
616C4×Dic7C2×D414yes—
617C4×Dic7C2×D414yes—
618C24×C4C2×D711yescharacteristic
619#529—148no—
620C2×#126—71no—
621C2×#126—71no—
622C2×#125—71no—
623C2×#124—71no—
624C2×#123—71no—
625C2×#123—71no—
626C2×C22⋊Q8—71no—
627C2×C22⋊Q8—71no—
628C2×#121—71no—
629C2×#121—71no—
630C2×#120—71no—
631C2×#120C2×D711yescharacteristic
632C2×C4×Q8—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×C4×D4—71no—
636C2×C4×D4—71no—
637C2×C4×D4—71no—
638C2×C4×D4—71no—
639C2×C4×D4C2×D711yescharacteristic
640C2×C4×D4C2×D711yescharacteristic
641C2×C4×D4C2×D711yescharacteristic
642C2×#117—71no—
643C2×#117—71no—
644C2×#117—71no—
645C2×#117—71no—
646C2×#117—71no—
647C2×#117—71no—
648C2×#117—71no—
649C2×#117—71no—
650C2×#117—71no—
651C2×#117—148no—
652C22×C4⋊C4—71no—
653C22×C4⋊C4—71no—
654C22×C22⋊C4—71no—
655C22×C22⋊C4—71no—
656C22×C42—71no—
657C22×C42—71no—
658C22×C42—71no—
659#400—71no—
660#400—71no—
661#400—71no—
662#399—71no—
663#399—71no—
664#399—71no—
665#398—71no—
666#398—71no—
667#398—71no—
668#398—71no—
669#398—71no—
670#397—71no—
671#397—71no—
672#397—71no—
673#397—71no—
674#397—71no—
675#397—71no—
676#397—71no—
677#396—71no—
678#396—71no—
679#396—71no—
680#396—71no—
681#395—71no—
682#394—71no—
683#394—71no—
684#394—71no—
685#394—71no—
686#394—71no—
687#394—71no—
688#394—71no—
689#393—71no—
690#392—71no—
691#391—71no—
692#390—71no—
693#390—71no—
694#390—71no—
695#389—71no—
696#389—71no—
697#389—71no—
698#389—71no—
699#388—71no—
700#388—71no—
701#388—71no—
702#388—71no—
703#388—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#387—71no—
714#387—71no—
715#387—71no—
716#387—71no—
717#387—71no—
718#387—71no—
719#387—71no—
720#387—71no—
721#387—71no—
722#387—71no—
723#386—71no—
724#386—71no—
725#386—71no—
726#386—71no—
727#386—71no—
728#386—71no—
729#386—71no—
730#386—71no—
731#386—71no—
732#386C2×D711yescharacteristic
733#386C2×D711yescharacteristic
734#386C2×D711yescharacteristic
735#385—71no—
736#385—71no—
737#385—71no—
738#385—71no—
739#385—71no—
740#385—71no—
741#385—71no—
742#385—71no—
743#385—71no—
744#385C2×D711yescharacteristic
745#385C2×D711yescharacteristic
746#385C2×D711yescharacteristic
747#380—71no—
748#380—71no—
749#379—71no—
750#379C2×D711yescharacteristic
751C4×C4⋊C4—71no—
752C4×C4⋊C4—71no—
753C4×C4⋊C4—71no—
754C4×C4⋊C4—71no—
755C4×C4⋊C4—71no—
756C4×C4⋊C4—71no—
757C4×C4⋊C4—71no—
758C4×C4⋊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⋊C4—71no—
767C4×C22⋊C4—71no—
768C4×C22⋊C4—71no—
769C4×C22⋊C4—71no—
770C4×C22⋊C4C2×D711yescharacteristic
771C4×C22⋊C4C2×D711yescharacteristic
772C4×C22⋊C4C2×D711yescharacteristic
773#376—71no—
774C43—71no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—28no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—44no—
799C23×C7—44no—
800C23×C7—44no—
801C23×C7—44no—
802C23×C7—44no—
803C23×C7—44no—
804C23×C7C22×D412yes—
805C23×C7C2×#4112yes—
806C23×C7C2×#4112yes—
807C23×C7C2×#4112yes—
808C23×C7C2×#4112yes—
809C23×C7C2×#4112yes—
810C23×C7C2511yescharacteristic
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C7×D4—28no—
819C7×D4—44no—
820C7×D4—44no—
821C2×C4×C7—28no—
822C2×C4×C7—28no—
823C2×C4×C7—28no—
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—28no—
833C2×C4×C7—28no—
834C2×C4×C7—28no—
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—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—44no—
854C2×C4×C7C22×D412yes—
855C2×C4×C7C22×D412yes—
856C2×C4×C7C2×#4112yes—
857C2×C4×C7C2×#4112yes—
858C2×C4×C7C2×#4112yes—
859C2×C4×C7C2×#4112yes—
860C2×C4×C7C2×#4112yes—
861C22⋊D7—44no—
862C22⋊D7—44no—
863C22⋊D7—44no—
864C22⋊D7—44no—
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—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—44no—
905C2×Dic7—44no—
906C2×Dic7—44no—
907C2×Dic7—44no—
908C2×Dic7—44no—
909C2×Dic7—44no—
910C2×Dic7C22×D412yes—
911C2×Dic7C22×D412yes—
912C2×Dic7C22×D412yes—
913C2×Dic7C22×D412yes—
914C2×Dic7C2×#4112yes—
915C2×Dic7C2×#4112yes—
916C4×D7—44no—
917Dic14—44no—
918C25C22×D711yescharacteristic
919C22×Q8—71no—
920C22×D4—71no—
921C22×D4—71no—
922C22×D4—71no—
923C22×D4—71no—
924C22×D4C22×D711yescharacteristic
925C22×D4C22×D711yescharacteristic
926C22×D4C22×D711yescharacteristic
927C23×C4—24no—
928C23×C4—24no—
929C23×C4—24no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—71no—
934C23×C4—71no—
935C23×C4—71no—
936C23×C4—71no—
937C23×C4C22×D711yescharacteristic
938C23×C4C22×D711yescharacteristic
939C23×C4C22×D711yescharacteristic
940C23×C4C22×D711yescharacteristic
941C23×C4C22×D711yescharacteristic
942C23×C4C22×D711yescharacteristic
943C23×C4C22×D711yescharacteristic
944#126—144no—
945#126—144no—
946#125—144no—
947#124—144no—
948#123—144no—
949#123—144no—
950C22⋊Q8—144no—
951C22⋊Q8—144no—
952#121—144no—
953#121—144no—
954#120—24no—
955#120—144no—
956C4×Q8—144no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—144no—
961C4×D4—144no—
962C4×D4—144no—
963C4×D4—144no—
964C4×D4—144no—
965C4×D4—144no—
966#117—78no—
967#117—144no—
968#117—144no—
969#117—144no—
970#117—144no—
971#117—144no—
972#117—144no—
973#117—144no—
974#117—144no—
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⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—144no—
1005C2×C4⋊C4—144no—
1006C2×C4⋊C4C22×D711yescharacteristic
1007C2×C4⋊C4C22×D711yescharacteristic
1008C2×C4⋊C4C22×D711yescharacteristic
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⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—144no—
1042C2×C22⋊C4—144no—
1043C2×C22⋊C4C22×D711yescharacteristic
1044C2×C22⋊C4C22×D711yescharacteristic
1045C2×C22⋊C4C22×D711yescharacteristic
1046C2×C22⋊C4C22×D711yescharacteristic
1047C2×C22⋊C4C22×D711yescharacteristic
1048C2×C22⋊C4C22×D711yescharacteristic
1049C2×C22⋊C4C22×D711yescharacteristic
1050C2×C22⋊C4C22×D711yescharacteristic
1051C2×C22⋊C4C22×D711yescharacteristic
1052C2×C22⋊C4C22×D711yescharacteristic
1053C2×C22⋊C4C22×D711yescharacteristic
1054C2×C22⋊C4C22×D711yescharacteristic
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—71no—
1064C2×C42—71no—
1065C2×C42—71no—
1066C2×C42—71no—
1067C2×C42—71no—
1068C2×C42—71no—
1069C2×C42—71no—
1070C2×C42—71no—
1071C2×C42—71no—
1072C2×C42—144no—
1073C2×C42—144no—
1074C2×C42—144no—
1075C2×C42C22×D711yescharacteristic
1076C2×C42C22×D711yescharacteristic
1077C2×C42C22×D711yescharacteristic
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#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95C22×D711yescharacteristic
1109#95C22×D711yescharacteristic
1110#95C22×D711yescharacteristic
1111#95C22×D711yescharacteristic
1112#95C22×D711yescharacteristic
1113#95C22×D711yescharacteristic
1114C22×C7—22no—
1115C22×C7—22no—
1116C22×C7—22no—
1117C22×C7—22no—
1118C22×C7—22no—
1119C22×C7—22no—
1120C22×C7—22no—
1121C22×C7—22no—
1122C22×C7—22no—
1123C22×C7—22no—
1124C22×C7—22no—
1125C22×C7—22no—
1126C22×C7—22no—
1127C22×C7—22no—
1128C22×C7—22no—
1129C22×C7—416no—
1130C22×C7—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7#52914yescomplemented
1143C22×C7C23×D411yescharacteristic
1144C22×C7C22×#4111yescharacteristic
1145C22×C7C22×#4111yescharacteristic
1146C22×C7C22×#4111yescharacteristic
1147C22×C7C22×#4111yescharacteristic
1148C22×C7#58511yescharacteristic
1149C22×C7#58511yescharacteristic
1150C2×D7—41no—
1151C2×D7—41no—
1152C2×D7—41no—
1153C2×D7—41no—
1154C2×D7—41no—
1155C2×D7—41no—
1156C2×D7—41no—
1157C4×C7—22no—
1158C4×C7—22no—
1159C4×C7—22no—
1160C4×C7—22no—
1161C4×C7—41no—
1162C4×C7—41no—
1163C4×C7—41no—
1164C4×C7—41no—
1165C4×C7—41no—
1166C4×C7—41no—
1167C4×C7#52514yes—
1168Dic7—22no—
1169Dic7—22no—
1170Dic7—22no—
1171Dic7—22no—
1172Dic7—22no—
1173Dic7—22no—
1174Dic7—41no—
1175Dic7—41no—
1176Dic7—41no—
1177Dic7—41no—
1178Dic7—41no—
1179Dic7—41no—
1180Dic7—41no—
1181Dic7—41no—
1182Dic7—41no—
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—71no—
1191C24C23×D711yescharacteristic
1192C24C23×D711yescharacteristic
1193C24C23×D711yescharacteristic
1194C24C23×D711yescharacteristic
1195C2×Q8—142no—
1196C2×Q8—142no—
1197C2×Q8—281no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—142no—
1207C2×D4—142no—
1208C2×D4—142no—
1209C2×D4—142no—
1210C2×D4—142no—
1211C2×D4—142no—
1212C2×D4—142no—
1213C2×D4—142no—
1214C2×D4—142no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C2×D4—281no—
1218C2×D4#115714yes—
1219C22×C4—232no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—71no—
1239C22×C4—71no—
1240C22×C4—71no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—71no—
1245C22×C4—71no—
1246C22×C4—71no—
1247C22×C4—71no—
1248C22×C4—71no—
1249C22×C4—71no—
1250C22×C4—71no—
1251C22×C4—71no—
1252C22×C4—71no—
1253C22×C4—142no—
1254C22×C4—142no—
1255C22×C4—142no—
1256C22×C4—142no—
1257C22×C4—142no—
1258C22×C4—142no—
1259C22×C4—142no—
1260C22×C4—142no—
1261C22×C4—142no—
1262C22×C4—142no—
1263C22×C4—142no—
1264C22×C4—142no—
1265C22×C4—142no—
1266C22×C4—142no—
1267C22×C4—142no—
1268C22×C4—281no—
1269C22×C4—281no—
1270C22×C4—281no—
1271C22×C4—281no—
1272C22×C4—281no—
1273C22×C4—281no—
1274C22×C4D4×D714yes—
1275C22×C4#115914yes—
1276C22×C4#115914yes—
1277C22×C4C23×D711yescharacteristic
1278C22×C4C23×D711yescharacteristic
1279C22×C4C23×D711yescharacteristic
1280C22×C4C23×D711yescharacteristic
1281C22×C4C23×D711yescharacteristic
1282C22×C4C23×D711yescharacteristic
1283C22×C4C23×D711yescharacteristic
1284C22×C4C23×D711yescharacteristic
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D711yescharacteristic
1287C22×C4C23×D711yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—74no—
1292C4⋊C4—74no—
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—142no—
1304C4⋊C4—142no—
1305C4⋊C4—142no—
1306C4⋊C4—142no—
1307C4⋊C4—142no—
1308C4⋊C4—142no—
1309C4⋊C4—142no—
1310C4⋊C4—142no—
1311C4⋊C4—142no—
1312C4⋊C4—142no—
1313C4⋊C4—142no—
1314C4⋊C4—281no—
1315C4⋊C4—281no—
1316C4⋊C4—281no—
1317C4⋊C4—281no—
1318C4⋊C4—281no—
1319C4⋊C4—281no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—74no—
1333C22⋊C4—74no—
1334C22⋊C4—74no—
1335C22⋊C4—142no—
1336C22⋊C4—142no—
1337C22⋊C4—142no—
1338C22⋊C4—142no—
1339C22⋊C4—142no—
1340C22⋊C4—142no—
1341C22⋊C4—142no—
1342C22⋊C4—142no—
1343C22⋊C4—142no—
1344C22⋊C4—142no—
1345C22⋊C4—142no—
1346C22⋊C4—142no—
1347C22⋊C4—142no—
1348C22⋊C4—142no—
1349C22⋊C4—142no—
1350C22⋊C4—142no—
1351C22⋊C4—142no—
1352C22⋊C4—142no—
1353C22⋊C4—142no—
1354C22⋊C4—142no—
1355C22⋊C4—142no—
1356C22⋊C4—142no—
1357C22⋊C4—142no—
1358C22⋊C4—281no—
1359C22⋊C4—281no—
1360C22⋊C4—281no—
1361C22⋊C4—281no—
1362C22⋊C4—281no—
1363C22⋊C4—281no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—74no—
1368C42—74no—
1369C42—142no—
1370C42—142no—
1371C42—142no—
1372C42—142no—
1373C42—142no—
1374C42—142no—
1375C42—142no—
1376C42—142no—
1377C42—142no—
1378C42—142no—
1379C42—142no—
1380C42—142no—
1381C42—142no—
1382C42—281no—
1383C42—281no—
1384C2×C7—24no—
1385C2×C7—42no—
1386C2×C7—42no—
1387C2×C7—42no—
1388C2×C7C2×#52511yescharacteristic
1389C2×C7C2×#52911yescharacteristic
1390C2×C7#345511yescharacteristic
1391C2×C7D4×#4111yescharacteristic
1392C2×C7D4×#4111yescharacteristic
1393C2×C7#347511yescharacteristic
1394C2×C7#347511yescharacteristic
1395D7—81no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—141no—
1426C23—141no—
1427C23—141no—
1428C23—141no—
1429C23—141no—
1430C23—141no—
1431C23—141no—
1432C23C2×#115712yes—
1433C23C2×#115712yes—
1434C23C2×D4×D712yes—
1435C23C2×#115912yes—
1436C23C2×#115912yes—
1437C23D7×#4112yes—
1438C23C24×D711yescharacteristic
1439Q8—284no—
1440D4—28no—
1441D4—44no—
1442D4—44no—
1443D4—284no—
1444D4—284no—
1445D4—284no—
1446D4—284no—
1447C2×C4—28no—
1448C2×C4—28no—
1449C2×C4—28no—
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—28no—
1459C2×C4—28no—
1460C2×C4—28no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—44no—
1480C2×C4—72no—
1481C2×C4—72no—
1482C2×C4—72no—
1483C2×C4—72no—
1484C2×C4—72no—
1485C2×C4—72no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
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—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—141no—
1516C2×C4—141no—
1517C2×C4—141no—
1518C2×C4—141no—
1519C2×C4—141no—
1520C2×C4—141no—
1521C2×C4—141no—
1522C2×C4—141no—
1523C2×C4—141no—
1524C2×C4—141no—
1525C2×C4—284no—
1526C2×C4—284no—
1527C2×C4—284no—
1528C2×C4—284no—
1529C2×C4—284no—
1530C2×C4—284no—
1531C2×C4—284no—
1532C2×C4C2×#115712yes—
1533C2×C4C2×D4×D712yes—
1534C2×C4C2×D4×D712yes—
1535C2×C4C2×#115912yes—
1536C2×C4C2×#115912yes—
1537C2×C4C2×#115912yes—
1538C2×C4C2×#115912yes—
1539C7#3474011yescharacteristic, complemented, Sylow
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—416no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22—281no—
1575C22#9022914yescomplemented
1576C22C22×#115711yescharacteristic
1577C22C22×D4×D711yescharacteristic
1578C22C22×#115911yescharacteristic
1579C22C22×#115911yescharacteristic
1580C22C2×D7×#4111yescharacteristic
1581C22#9061611yescharacteristic
1582C22#9061611yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—142no—
1594C4—142no—
1595C4—142no—
1596C4—142no—
1597C4—142no—
1598C4—142no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C4—281no—
1607C4—281no—
1608C4#9027714yes—
1609C2—24no—
1610C2—42no—
1611C2—42no—
1612C2—42no—
1613C2—561no—
1614C2C2×#9022911yescharacteristic
1615C2#1174283211yescharacteristic
1616C2D4×#115711yescharacteristic
1617C2C2×#9027711yescharacteristic
1618C2#1174308711yescharacteristic
1619C2#1174308911yescharacteristic
1620C2#1174310511yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC4×C7×#120C2
prime radical#11740032C2
hypercenterC4×#120D7
hypocenterC7#34740
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C22×#6489C2semidirect
2. C2×#90229C2semidirect
3. C4×C7×#120C2semidirect
4. C4×#6516C2semidirect
6. #11740030C2semidirect
7. #11739791C2semidirect
8. #11739790C2semidirect
9. C4×#6502C2semidirect
10. #11739763C2semidirect
11. C4×D4×Dic7C2semidirect
12. #11732178C2semidirect
13. #11732175C2semidirect
14. #11732170C2semidirect
15. #11732168C2semidirect
16. #11732155C2semidirect
17. #11732148C2semidirect
18. #11731899C2semidirect
19. #11731896C2semidirect
20. #11731894C2semidirect
21. #11731890C2semidirect
22. #11731889C2semidirect
23. #11731886C2semidirect
24. #11731275C2semidirect
25. #11731274C2semidirect
26. #11731028C2semidirect
27. #11730925C2semidirect
28. C4×#6441C2semidirect
29. #11730885C2semidirect
30. #11730884C2semidirect
31. #11730883C2semidirect
48. C2×C4×C22⋊D7C22semidirect
62. C22×C4×Dic7C22semidirect
64. C2×#6461C22semidirect
65. C2×#6452C22semidirect
66. C2×#6449C22semidirect
70. C2×#6441C22semidirect
71. C2×#6435C22semidirect
72. C2×C4×Dic14C22semidirect
100. C4×C22⋊Dic7C22semidirect
101. C4×C22⋊Dic7C22semidirect
102. #89766C22semidirect
103. #89762C22semidirect
104. #89758C22semidirect
105. #89756C22semidirect
106. #89755C22semidirect
107. #89753C22semidirect
108. #89753C22semidirect
109. C4⋊C4×Dic7C22semidirect
110. C4⋊C4×Dic7C22semidirect
111. #89744C22semidirect
114. #89733C22semidirect
121. #89729C22semidirect
124. #89725C22semidirect
131. #89722C22semidirect
132. #89722C22semidirect
134. #89721C22semidirect
137. #89720C22semidirect
144. #89717C22semidirect
153. C22⋊C4×Dic7C22semidirect
154. C22⋊C4×Dic7C22semidirect
155. C4×(C2×D7)⋊C4C22semidirect
156. C4×(C2×D7)⋊C4C22semidirect
157. C4×C4⋊Dic7C22semidirect
158. C4×C4⋊Dic7C22semidirect
159. #89704C22semidirect
160. C4×Dic7⋊C4C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. C4×Dic7⋊C4C22semidirect
163. C4×Dic7⋊C4C22semidirect
164. C42×Dic7C22semidirect
165. #89449C22semidirect
166. #89446C22semidirect
167. #89442C22semidirect
168. #89442C22semidirect
169. #89441C22semidirect
170. #89441C22semidirect
171. #89433C22semidirect
172. #89433C22semidirect
173. #89432C22semidirect
174. #89431C22semidirect
175. #89429C22semidirect
176. #89428C22semidirect
177. #89427C22semidirect
178. #89426C22semidirect
179. #89426C22semidirect
180. #89426C22semidirect
181. #89425C22semidirect
182. #89425C22semidirect
183. #89424C22semidirect
184. #89424C22semidirect
185. #89419C22semidirect
186. #89419C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
289. #6489D4semidirect
411. C4×#120D7semidirect
1142. C22×C7#529semidirect
1539. C7#34740semidirect
1575. C22#90229semidirect

Maximal subgroups

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

subgroupindex
C22×#64892
C2×#902292
C4×C7×#1202
C4×#65162
#117400322
#117400302
#117397912
#117397902
C4×#65022
#117397632
C4×D4×Dic72
#117321782
#117321752
#117321702
#117321682
#117321552
#117321482
#117318992
#117318962
#117318942
#117318902
#117318892
#117318862
#117312752
#117312742
#117310282
#117309252
C4×#64412
#117308852
#117308842
#117308832
#347407