Finite Group Databasebeta

← #33258600

Subgroups — #33258600

Order 18688.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989178C211yesmaximal, characteristic, complemented
2C2×C4×D4×D73C211yesmaximal, characteristic, complemented
3#22618255C211yesmaximal, characteristic, complemented
4#22618251C211yesmaximal, characteristic, complemented
5#22618219C211yesmaximal, characteristic, complemented
6#22618212C211yesmaximal, characteristic, complemented
7#22615737C211yesmaximal, characteristic, complemented
8#22615670C211yesmaximal, characteristic, complemented
9#22615644C211yesmaximal, characteristic, complemented
10#22615642C211yesmaximal, characteristic, complemented
11#22613989C211yesmaximal, characteristic, complemented
12#22613985C211yesmaximal, characteristic, complemented
13#22613978C211yesmaximal, characteristic, complemented
14#22613929C211yesmaximal, characteristic, complemented
15#22613926C211yesmaximal, characteristic, complemented
16#22613923C211yesmaximal, characteristic, complemented
17#22613922C211yesmaximal, characteristic, complemented
18#22613887C211yesmaximal, characteristic, complemented
19#22613883C211yesmaximal, characteristic, complemented
20#22613882C211yesmaximal, characteristic, complemented
21#22613878C211yesmaximal, characteristic, complemented
22#22613829C211yesmaximal, characteristic, complemented
23#22613825C211yesmaximal, characteristic, complemented
24#22613820C211yesmaximal, characteristic, complemented
25#22613816C211yesmaximal, characteristic, complemented
26#22612593C211yesmaximal, characteristic, complemented
27#22612590C211yesmaximal, characteristic, complemented
28#22612530C211yesmaximal, characteristic, complemented
29#22612436C211yesmaximal, characteristic, complemented
30C4×#14556561C211yesmaximal, characteristic, complemented
31C73×#2467C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic
35#17989178—28no—
36C2×#14556586C2211yescharacteristic, complemented
37C2×#14556583C2211yescharacteristic, complemented
38C2×#14556582C2211yescharacteristic, complemented
39C2×#14556576C2211yescharacteristic
40C2×#14556575C2211yescharacteristic, complemented
41C2×#14556573C2211yescharacteristic
42C2×#14556573C2211yescharacteristic, complemented
43C2×#14556571C2211yescharacteristic
44C2×#14556571C2211yescharacteristic, complemented
45C2×#14556570C2211yescharacteristic, complemented
46C2×#14556569C2211yescharacteristic, complemented
47C2×#14556568C2211yescharacteristic, complemented
48C2×#14556564C2211yescharacteristic
49C2×#14556564C2211yescharacteristic, complemented
50C2×#14556563C2211yescharacteristic, complemented
51C2×#14556561C2211yescharacteristic
52C2×#14556561C2211yescharacteristic
53C2×#14556559C2211yescharacteristic
54C2×#14556559C2211yescharacteristic
55C2×C4×D292C2211yescharacteristic
56C2×C4×D292C2211yescharacteristic
57C2×C4×D292C2211yescharacteristic, complemented
58C2×D4×Dic73C2211yescharacteristic
59C2×D4×Dic73C2211yescharacteristic, complemented
60C2×#14556553C2211yescharacteristic
61C2×C4×C22⋊D73C2211yescharacteristic
62C2×C4×C22⋊D73C2211yescharacteristic
63C2×C4×C22⋊D73C2211yescharacteristic, complemented
64C2×#14556551C2211yescharacteristic
65C2×#14556551C2211yescharacteristic
66C2×#14556551C2211yescharacteristic
67C2×#14556551C2211yescharacteristic, complemented
68C4×D4×D73—28no—
69C2×C4⋊C4×D73C2211yescharacteristic
70C2×C22⋊C4×D73C2211yescharacteristic
71C2×C22⋊C4×D73C2211yescharacteristic
72C2×C42×D73C2211yescharacteristic
73#17988522C2211yescharacteristic, complemented
74#17988516C2211yescharacteristic, complemented
75#17988515C2211yescharacteristic, complemented
76#17988510C2211yescharacteristic, complemented
77#17988510C2211yescharacteristic, complemented
78#17988509C2211yescharacteristic, complemented
79#17988509C2211yescharacteristic, complemented
80#17988505C2211yescharacteristic
81#17988504C2211yescharacteristic
82#17988504C2211yescharacteristic, complemented
83#17988503C2211yescharacteristic
84#17988503C2211yescharacteristic
85#17988503C2211yescharacteristic, complemented
86#17988503C2211yescharacteristic, complemented
87#17988502C2211yescharacteristic
88#17988502C2211yescharacteristic
89#17988501C2211yescharacteristic
90#17988500C2211yescharacteristic, complemented
91#17988499C2211yescharacteristic, complemented
92#17988497C2211yescharacteristic
93#17988496C2211yescharacteristic
94#17988496C2211yescharacteristic
95#17988496C2211yescharacteristic
96#17988496C2211yescharacteristic, complemented
97#17988495C2211yescharacteristic
98#17988495C2211yescharacteristic
99#17988495C2211yescharacteristic
100#17988495C2211yescharacteristic, complemented
101#17988488C2211yescharacteristic, complemented
102#17988487C2211yescharacteristic, complemented
103#17988487C2211yescharacteristic, complemented
104#17988481C2211yescharacteristic, complemented
105#17988481C2211yescharacteristic, complemented
106#17988481C2211yescharacteristic, complemented
107#17988480C2211yescharacteristic, complemented
108#17988480C2211yescharacteristic, complemented
109#17988479C2211yescharacteristic, complemented
110#17988479C2211yescharacteristic, complemented
111#17988478C2211yescharacteristic, complemented
112#17988478C2211yescharacteristic, complemented
113#17988478C2211yescharacteristic, complemented
114#17988477C2211yescharacteristic, complemented
115#17988477C2211yescharacteristic, complemented
116#17988476C2211yescharacteristic, complemented
117#17988475C2211yescharacteristic, complemented
118#17988474C2211yescharacteristic, complemented
119#17988474C2211yescharacteristic, complemented
120#17988473C2211yescharacteristic, complemented
121#17988473C2211yescharacteristic, complemented
122#17988472C2211yescharacteristic, complemented
123#17988472C2211yescharacteristic, complemented
124#17988471C2211yescharacteristic, complemented
125#17988471C2211yescharacteristic, complemented
126#17988470C2211yescharacteristic, complemented
127#17988470C2211yescharacteristic, complemented
128#17988469C2211yescharacteristic, complemented
129#17988469C2211yescharacteristic, complemented
130#17988468C2211yescharacteristic, complemented
131#17988468C2211yescharacteristic, complemented
132#17988467C2211yescharacteristic, complemented
133#17988466C2211yescharacteristic, complemented
134#17988465C2211yescharacteristic
135#17988465C2211yescharacteristic
136#17988465C2211yescharacteristic, complemented
137#17988465C2211yescharacteristic, complemented
138#17988465C2211yescharacteristic, complemented
139#17988464C2211yescharacteristic, complemented
140#17988464C2211yescharacteristic, complemented
141#17988463C2211yescharacteristic
142#17988463C2211yescharacteristic
143#17988463C2211yescharacteristic, complemented
144#17988463C2211yescharacteristic, complemented
145#17988463C2211yescharacteristic, complemented
146#17988462C2211yescharacteristic, complemented
147#17988462C2211yescharacteristic, complemented
148#17988462C2211yescharacteristic, complemented
149#17988461C2211yescharacteristic
150#17988461C2211yescharacteristic
151#17988461C2211yescharacteristic, complemented
152#17988461C2211yescharacteristic, complemented
153#17988461C2211yescharacteristic, complemented
154#17988461C2211yescharacteristic, complemented
155#17988460C2211yescharacteristic, complemented
156#17988458C2211yescharacteristic
157#17988458C2211yescharacteristic
158#17988449C2211yescharacteristic
159#17988449C2211yescharacteristic
160#17988446C2211yescharacteristic
161#17988446C2211yescharacteristic, complemented
162#17988445C2211yescharacteristic, complemented
163#17988444C2211yescharacteristic
164#17988444C2211yescharacteristic, complemented
165#17988442C2211yescharacteristic
166#17988442C2211yescharacteristic
167#17988442C2211yescharacteristic
168#17988442C2211yescharacteristic
169C22⋊C4×Dic73C2211yescharacteristic, complemented
170C4×#11924005C2211yescharacteristic
171C4×#11924005C2211yescharacteristic, complemented
172#17988434C2211yescharacteristic
173#17988434C2211yescharacteristic, complemented
174C2×#126×C73C2211yescharacteristic, complemented
175C2×C4×D4×C73C2211yescharacteristic
176#399×C73C2211yescharacteristic, complemented
177#394×C73C2211yescharacteristic
178#394×C73C2211yescharacteristic, complemented
179#392×C73C2211yescharacteristic
180#390×C73C2211yescharacteristic, complemented
181#388×C73C2211yescharacteristic, complemented
182#388×C73C2211yescharacteristic, complemented
183#387×C73C2211yescharacteristic, complemented
184#387×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic, complemented
187#380×C73C2211yescharacteristic, complemented
188C4×C22⋊C4×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C22×Dic146C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C2×D4×D73—24no—
205C2×D4×D73—24no—
206C2×D4×D73—24no—
207C23×Dic73C2311yescharacteristic
208C23×Dic73C2311yescharacteristic
209C23×Dic73C2311yescharacteristic
210C22×C4×D73—24no—
211C22×C4×D73—24no—
212C22×C4×D73—42no—
213C22×C4×D73—42no—
214C22×C4×D73—42no—
215C22×C4×D73—42no—
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C22×C4×D73C2311yescharacteristic
221C22×C4×D73C2311yescharacteristic
222C22×C4×D73C2311yescharacteristic
223C22×C4×D73C2311yescharacteristic
224C22×C4×D73C2311yescharacteristic
225C22×C4×D73C2311yescharacteristic
226#14556586—24no—
227#14556583—24no—
228#14556582—24no—
229#14556576—24no—
230#14556575—24no—
231#14556573—24no—
232#14556573—24no—
233#14556571—24no—
234#14556571—42no—
235#14556570—42no—
236#14556569—24no—
237#14556568—24no—
238#14556564—24no—
239#14556564—42no—
240#14556563—42no—
241#14556561—24no—
242#14556561—24no—
243#14556559—24no—
244#14556559—24no—
245C4×D292—24no—
246C4×D292—24no—
247C4×D292—42no—
248D4×Dic73—24no—
249D4×Dic73—42no—
250#14556553—24no—
251C4×C22⋊D73—24no—
252C4×C22⋊D73—24no—
253C4×C22⋊D73—42no—
254#14556551—24no—
255#14556551—24no—
256#14556551—24no—
257#14556551—42no—
258C2×C4⋊Dic73C2311yescharacteristic
259C2×C4⋊Dic73C2311yescharacteristic
260C2×C4⋊Dic73C2311yescharacteristic
261C2×C4⋊Dic73C2311yescharacteristic
262C2×C4⋊Dic73C2311yescharacteristic
263C2×C4⋊Dic73C2311yescharacteristic
264C2×C4⋊Dic73C2311yescharacteristic
265C2×C4⋊Dic73C2311yescharacteristic
266C2×#11924007C2311yescharacteristic
267C2×#11924007C2311yescharacteristic
268C2×#11924007C2311yescharacteristic
269C2×#11924007C2311yescharacteristic
270C2×#11924007C2311yescharacteristic
271C2×#11924007C2311yescharacteristic
272C2×#11924007C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×#11924007C2311yescharacteristic
275C2×#11924007C2311yescharacteristic
276C2×#11924007C2311yescharacteristic
277C2×#11924007C2311yescharacteristic
278C4⋊C4×D73D418yescomplemented
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×C22⋊Dic73C2311yescharacteristic
282C2×C22⋊Dic73C2311yescharacteristic
283C2×C22⋊Dic73C2311yescharacteristic
284C2×C22⋊Dic73C2311yescharacteristic
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×#11924005C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C2×#11924005C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C2×#11924005C2311yescharacteristic
308C2×#11924005C2311yescharacteristic
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C2×#11924005C2311yescharacteristic
315C2×#11924005C2311yescharacteristic
316C2×#11924005C2311yescharacteristic
317C2×#11924005C2311yescharacteristic
318C2×#11924005C2311yescharacteristic
319C2×#11924005C2311yescharacteristic
320C22⋊C4×D73—24no—
321C22⋊C4×D73—24no—
322C2×C4×Dic73C2311yescharacteristic
323C2×C4×Dic73C2311yescharacteristic
324C2×C4×Dic73C2311yescharacteristic
325C2×C4×Dic73C2311yescharacteristic
326C2×C4×Dic73C2311yescharacteristic
327C2×C4×Dic73C2311yescharacteristic
328C2×C4×Dic73C2311yescharacteristic
329C42×D73—24no—
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353#14556498C2311yescharacteristic
354C22×D4×C73C2311yescharacteristic
355C22×D4×C73C2311yescharacteristic
356C22×D4×C73C2311yescharacteristic
357C23×C4×C73C2311yescharacteristic
358C23×C4×C73C2311yescharacteristic
359#126×C73—24no—
360C4×D4×C73—24no—
361C2×C4⋊C4×C73C2311yescharacteristic
362C2×C4⋊C4×C73C2311yescharacteristic
363C2×C4⋊C4×C73C2311yescharacteristic
364C2×C4⋊C4×C73C2311yescharacteristic
365C2×C4⋊C4×C73C2311yescharacteristic
366C2×C4⋊C4×C73C2311yescharacteristic
367C2×C22⋊C4×C73C2311yescharacteristic
368C2×C22⋊C4×C73C2311yescharacteristic
369C2×C22⋊C4×C73C2311yescharacteristic
370C2×C22⋊C4×C73C2311yescharacteristic
371C2×C22⋊C4×C73C2311yescharacteristic
372C2×C22⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C22⋊C4×C73C2311yescharacteristic
377C2×C22⋊C4×C73C2311yescharacteristic
378C2×C22⋊C4×C73C2311yescharacteristic
379C2×C22⋊C4×C73C2311yescharacteristic
380C2×C42×C73C2311yescharacteristic
381C2×C42×C73C2311yescharacteristic
382C2×C42×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C23×D73—22no—
392C23×D73—22no—
393C23×D73—22no—
394C23×D73—22no—
395C23×D73—41no—
396C23×D73—41no—
397C23×D73—41no—
398C23×D73—41no—
399C23×D73—41no—
400C23×D73—41no—
401C23×D73—41no—
402C23×D73—41no—
403C23×D73#4114yes—
404C23×D73#4114yes—
405C23×D73C2411yescharacteristic
406C23×D73C2411yescharacteristic
407C23×D73C2411yescharacteristic
408C23×D73C2411yescharacteristic
409C2×Dic146—22no—
410C2×Dic146—41no—
411C2×Dic146—41no—
412C2×D292—22no—
413C2×D292—22no—
414C2×D292—22no—
415C2×D292—22no—
416C2×D292—22no—
417C2×D292—22no—
418C2×D292—22no—
419C2×D292—22no—
420C2×D292—41no—
421C2×D292—41no—
422C2×D292—41no—
423C2×D292—41no—
424C2×C22⋊D73—22no—
425C2×C22⋊D73—22no—
426C2×C22⋊D73—22no—
427C2×C22⋊D73—22no—
428C2×C22⋊D73—22no—
429C2×C22⋊D73—22no—
430C2×C22⋊D73—22no—
431C2×C22⋊D73—22no—
432C2×C22⋊D73—22no—
433C2×C22⋊D73—22no—
434C2×C22⋊D73—22no—
435C2×C22⋊D73—22no—
436C2×C22⋊D73—22no—
437C2×C22⋊D73—22no—
438C2×C22⋊D73—41no—
439C2×C22⋊D73—41no—
440C2×C22⋊D73—41no—
441C2×C22⋊D73—41no—
442C2×C22⋊D73—41no—
443C2×C22⋊D73—41no—
444C2×C22⋊D73—41no—
445C2×C22⋊D73—41no—
446C2×C22⋊D73—41no—
447C2×C22⋊D73—41no—
448D4×D73—232no—
449C22×Dic73—22no—
450C22×Dic73—22no—
451C22×Dic73—22no—
452C22×Dic73—22no—
453C22×Dic73—22no—
454C22×Dic73—41no—
455C22×Dic73—41no—
456C22×Dic73—41no—
457C22×Dic73—41no—
458C22×Dic73C2411yescharacteristic
459C22×Dic73C2411yescharacteristic
460C22×Dic73C2411yescharacteristic
461C22×Dic73C2411yescharacteristic
462C22×Dic73C2411yescharacteristic
463C22×Dic73C2411yescharacteristic
464C22×Dic73C2411yescharacteristic
465C22×Dic73C2411yescharacteristic
466C22×Dic73C2411yescharacteristic
467C22×Dic73C2411yescharacteristic
468C22×Dic73C2411yescharacteristic
469C22×Dic73C2411yescharacteristic
470C2×C4×D73—22no—
471C2×C4×D73—22no—
472C2×C4×D73—22no—
473C2×C4×D73—22no—
474C2×C4×D73—22no—
475C2×C4×D73—22no—
476C2×C4×D73—22no—
477C2×C4×D73—22no—
478C2×C4×D73—22no—
479C2×C4×D73—22no—
480C2×C4×D73—22no—
481C2×C4×D73—22no—
482C2×C4×D73—22no—
483C2×C4×D73—22no—
484C2×C4×D73—22no—
485C2×C4×D73—416no—
486C2×C4×D73—416no—
487C2×C4×D73—41no—
488C2×C4×D73—41no—
489C2×C4×D73—41no—
490C2×C4×D73—41no—
491C2×C4×D73—41no—
492C2×C4×D73—41no—
493C2×C4×D73—41no—
494C2×C4×D73—41no—
495C2×C4×D73—41no—
496C2×C4×D73—41no—
497C2×C4×D73—41no—
498C2×C4×D73—41no—
499C2×C4×D73C2×D414yes—
500C2×C4×D73C2×D414yes—
501C2×C4×D73C2×D414yes—
502C4⋊Dic73—22no—
503C4⋊Dic73—22no—
504C4⋊Dic73—22no—
505C4⋊Dic73—22no—
506C4⋊Dic73—22no—
507C4⋊Dic73—22no—
508C4⋊Dic73—41no—
509C4⋊Dic73C2×D414yes—
510#11924007—22no—
511#11924007—22no—
512#11924007—22no—
513#11924007—22no—
514#11924007—22no—
515#11924007—22no—
516#11924007—41no—
517#11924007—41no—
518#11924007—41no—
519#11924007—41no—
520#11924007C2×D414yes—
521#11924007C2×D414yes—
522C22⋊Dic73—22no—
523C22⋊Dic73—22no—
524C22⋊Dic73—22no—
525C22⋊Dic73—22no—
526C22⋊Dic73—22no—
527C22⋊Dic73—22no—
528C22⋊Dic73—41no—
529C22⋊Dic73—41no—
530C22⋊Dic73—41no—
531C22⋊Dic73—41no—
532C22⋊Dic73—41no—
533#11924005—22no—
534#11924005—22no—
535#11924005—22no—
536#11924005—22no—
537#11924005—22no—
538#11924005—22no—
539#11924005—22no—
540#11924005—22no—
541#11924005—22no—
542#11924005—22no—
543#11924005—22no—
544#11924005—22no—
545#11924005—22no—
546#11924005—22no—
547#11924005—22no—
548#11924005—22no—
549#11924005—22no—
550#11924005—22no—
551#11924005—22no—
552#11924005—22no—
553#11924005—41no—
554#11924005—41no—
555#11924005—41no—
556#11924005—41no—
557#11924005—41no—
558#11924005—41no—
559#11924005—41no—
560#11924005—41no—
561#11924005—41no—
562#11924005—41no—
563C4×Dic73—22no—
564C4×Dic73—22no—
565C4×Dic73—22no—
566C4×Dic73—22no—
567C4×Dic73—41no—
568C4×Dic73—41no—
569C4×Dic73—41no—
570C24×C73C2411yescharacteristic
571C24×C73C2411yescharacteristic
572C24×C73C2411yescharacteristic
573C2×D4×C73—22no—
574C2×D4×C73—22no—
575C2×D4×C73—22no—
576C2×D4×C73—22no—
577C2×D4×C73—22no—
578C2×D4×C73—41no—
579C2×D4×C73—41no—
580C2×D4×C73—41no—
581C2×D4×C73—41no—
582C22×C4×C73—22no—
583C22×C4×C73—22no—
584C22×C4×C73—22no—
585C22×C4×C73—22no—
586C22×C4×C73—41no—
587C22×C4×C73—41no—
588C22×C4×C73C2411yescharacteristic
589C22×C4×C73C2411yescharacteristic
590C22×C4×C73C2411yescharacteristic
591C22×C4×C73C2411yescharacteristic
592C22×C4×C73C2411yescharacteristic
593C22×C4×C73C2411yescharacteristic
594C22×C4×C73C2411yescharacteristic
595C22×C4×C73C2411yescharacteristic
596C22×C4×C73C2411yescharacteristic
597C22×C4×C73C2411yescharacteristic
598C22×C4×C73C2411yescharacteristic
599C22×C4×C73C2411yescharacteristic
600C4⋊C4×C73—22no—
601C4⋊C4×C73—22no—
602C4⋊C4×C73—41no—
603C4⋊C4×C73—41no—
604C4⋊C4×C73—41no—
605C4⋊C4×C73C2×D414yes—
606C22⋊C4×C73—22no—
607C22⋊C4×C73—22no—
608C22⋊C4×C73—22no—
609C22⋊C4×C73—22no—
610C22⋊C4×C73—22no—
611C22⋊C4×C73—22no—
612C22⋊C4×C73—22no—
613C22⋊C4×C73—22no—
614C22⋊C4×C73—41no—
615C22⋊C4×C73—41no—
616C22⋊C4×C73—41no—
617C22⋊C4×C73—41no—
618C22⋊C4×C73—41no—
619C42×C73—22no—
620C42×C73—22no—
621C42×C73—41no—
622C23×C73—21no—
623C23×C73—21no—
624C23×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—21no—
628C23×C73—21no—
629C23×C73—21no—
630C23×C73—21no—
631C23×C73—21no—
632C23×C73—21no—
633C23×C73—21no—
634C23×C73—21no—
635C23×C73—21no—
636C23×C73—21no—
637C23×C73—21no—
638C23×C73—21no—
639C23×C73—21no—
640C23×C73—21no—
641C23×C73C2×#4112yes—
642C23×C73C2×#4112yes—
643C23×C73C2511yescharacteristic
644C22×D73—21no—
645C22×D73—21no—
646C22×D73—21no—
647C22×D73—21no—
648C22×D73—21no—
649C22×D73—21no—
650C22×D73—21no—
651C22×D73—21no—
652C22×D73—21no—
653C22×D73—21no—
654C22×D73—21no—
655C22×D73—21no—
656C22×D73—21no—
657C22×D73—21no—
658C22×D73—21no—
659C22×D73—21no—
660C22×D73—28no—
661C22×D73—28no—
662C22×D73—21no—
663C22×D73—21no—
664C22×D73—21no—
665C22×D73—21no—
666C22×D73—21no—
667C22×D73—21no—
668C22×D73—21no—
669C22×D73—44no—
670C22×D73—44no—
671C22×D73—44no—
672C22×D73—44no—
673C22×D73—44no—
674C22×D73—44no—
675C22×D73—44no—
676C22×D73—44no—
677C22×D73—44no—
678C22×D73—44no—
679C22×D73—44no—
680C22×D73—44no—
681C22×D73C22×D412yes—
682C22×D73C2×#4112yes—
683C22×D73C2×#4112yes—
684C22×D73C2×#4112yes—
685C22×D73C2×#4112yes—
686D4×C73—28no—
687D4×C73—44no—
688D4×C73—82no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—44no—
722C2×C4×C73—44no—
723C2×C4×C73C22×D412yes—
724C2×C4×C73C22×D412yes—
725C2×C4×C73C22×D412yes—
726C2×C4×C73H(5,𝔽2)12yes—
727C22⋊D73—28no—
728C22⋊D73—28no—
729C22⋊D73—44no—
730C22⋊D73—44no—
731C22⋊D73—44no—
732C22⋊D73—82no—
733C22⋊D73—82no—
734C22⋊D73—82no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—44no—
768C2×Dic73—44no—
769C2×Dic73—82no—
770C2×Dic73C22×D412yes—
771C2×Dic73C22×D412yes—
772C2×Dic73C22×D412yes—
773C2×Dic73H(5,𝔽2)12yes—
774D292—28no—
775D292—44no—
776D292—44no—
777D292—82no—
778C4×D73—28no—
779C4×D73—28no—
780C4×D73—44no—
781C4×D73—44no—
782C4×D73—44no—
783C4×D73—44no—
784C4×D73—44no—
785C4×D73—44no—
786C4×D73—44no—
787C4×D73—82no—
788Dic146—82no—
789C22×C73—22no—
790C22×C73—22no—
791C22×C73—22no—
792C22×C73—22no—
793C22×C73—22no—
794C22×C73—22no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73C23×D411yescharacteristic
811C22×C73C22×#4111yescharacteristic
812C22×C73C22×#4111yescharacteristic
813C22×C73C2×H(5,𝔽2)11yescharacteristic
814C22×C73C2×H(5,𝔽2)11yescharacteristic
815C22×C73#58511yescharacteristic
816C22×C73#58511yescharacteristic
817C2×D73—22no—
818C2×D73—22no—
819C2×D73—22no—
820C2×D73—22no—
821C2×D73—22no—
822C2×D73—22no—
823C2×D73—22no—
824C2×D73—22no—
825C2×D73—22no—
826C2×D73—22no—
827C2×D73—22no—
828C2×D73—22no—
829C2×D73—416no—
830C2×D73—416no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73#52514yes—
847C4×C73—22no—
848C4×C73—22no—
849C4×C73—22no—
850C4×C73—22no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859Dic73—22no—
860Dic73—22no—
861Dic73—22no—
862Dic73—22no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868Dic73—41no—
869Dic73—41no—
870Dic73—41no—
871#34987—731nomaximal, Sylow
872C2×C73—42no—
873C2×C73—42no—
874C2×C73—81no—
875C2×C73C2×#52511yescharacteristic
876C2×C73#345911yescharacteristic
877C2×C73#345911yescharacteristic
878C2×C73#348411yescharacteristic
879C2×C73#348711yescharacteristic
880C2×C73#350511yescharacteristic
881C2×C73#350511yescharacteristic
882D73—24no—
883D73—42no—
884D73—42no—
885D73—81no—
886C2×#539—731no—
887C22×C4×D4—731no—
888#2853—731no—
889#2853—731no—
890#2848—731no—
891#2847—731no—
892#2626—731no—
893#2617—731no—
894#2613—731no—
895#2613—731no—
896#2467—731no—
897#2467—731no—
898#2467—731no—
899#2467D7311yescharacteristic, complemented
900#2463—731no—
901#2463—731no—
902#2463—731no—
903#2463—731no—
904#2460—731no—
905#2460—731no—
906#2460—731no—
907#2460—731no—
908#2456—731no—
909#2456—731no—
910#2456—731no—
911#2456—731no—
912#2321—731no—
913#2321—731no—
914#2313—731no—
915C4×#120—731no—
916C4×#120—731no—
917C73#3498711yescharacteristic, complemented, Sylow
918C23×D4—731no—
919C24×C4—731no—
920C24×C4—731no—
921#539—1468no—
922C2×#126—731no—
923C2×#126C2×D7311yescharacteristic, complemented
924C2×#125—731no—
925C2×#125—731no—
926C2×#123—731no—
927C2×#123—731no—
928C2×#123—731no—
929C2×#123—731no—
930C2×C22⋊Q8—731no—
931C2×C22⋊Q8—731no—
932C2×C22⋊Q8—731no—
933C2×C22⋊Q8—731no—
934C2×C22⋊Q8—731no—
935C2×#121—731no—
936C2×#121—731no—
937C2×#121—731no—
938C2×#120—731no—
939C2×#120—731no—
940C2×#120—731no—
941C2×#120—731no—
942C2×C4×D4—731no—
943C2×C4×D4—731no—
944C2×C4×D4—731no—
945C2×C4×D4—731no—
946C2×C4×D4—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—731no—
951C2×C4×D4—731no—
952C2×C4×D4—731no—
953C2×C4×D4—731no—
954C2×C4×D4—731no—
955C2×C4×D4—1468no—
956C2×C4×D4C2×D7311yescharacteristic
957C22×C4⋊C4—731no—
958C22×C22⋊C4—731no—
959C22×C22⋊C4—731no—
960C22×C42—731no—
961#399—731no—
962#399C2×D7311yescharacteristic, complemented
963#397—731no—
964#397—731no—
965#396—731no—
966#396—731no—
967#396—731no—
968#396—731no—
969#394—731no—
970#394—731no—
971#394—731no—
972#394—731no—
973#394—731no—
974#394—731no—
975#394—731no—
976#394—731no—
977#394—731no—
978#394—731no—
979#394C2×D7311yescharacteristic
980#394C2×D7311yescharacteristic, complemented
981#393—731no—
982#393—731no—
983#392—731no—
984#392—731no—
985#392—731no—
986#392—731no—
987#392—731no—
988#392—731no—
989#392—731no—
990#392—731no—
991#392—731no—
992#392C2×D7311yescharacteristic
993#390—731no—
994#390—731no—
995#390—731no—
996#390C2×D7311yescharacteristic, complemented
997#388—731no—
998#388—731no—
999#388—731no—
1000#388—731no—
1001#388—731no—
1002#388—731no—
1003#388—731no—
1004#388—731no—
1005#388—731no—
1006#388—731no—
1007#388—731no—
1008#388—731no—
1009#388—731no—
1010#388—731no—
1011#388C2×D7311yescharacteristic, complemented
1012#388C2×D7311yescharacteristic, complemented
1013#387—731no—
1014#387—731no—
1015#387—731no—
1016#387—731no—
1017#387—731no—
1018#387—731no—
1019#387—731no—
1020#387—731no—
1021#387—731no—
1022#387—731no—
1023#387—731no—
1024#387—731no—
1025#387—731no—
1026#387—731no—
1027#387C2×D7311yescharacteristic, complemented
1028#387C2×D7311yescharacteristic, complemented
1029#386—731no—
1030#386—731no—
1031#386—731no—
1032#386—731no—
1033#386—731no—
1034#386—731no—
1035#386—731no—
1036#386—731no—
1037#386—731no—
1038#386—731no—
1039#386—731no—
1040#386—731no—
1041#386—731no—
1042#386—731no—
1043#386C2×D7311yescharacteristic, complemented
1044#386C2×D7311yescharacteristic, complemented
1045#385—731no—
1046#385—731no—
1047#385—731no—
1048#385—731no—
1049#385—731no—
1050#385—731no—
1051#385—731no—
1052#385—731no—
1053#385—731no—
1054#385—731no—
1055#385—731no—
1056#385—731no—
1057#381—731no—
1058#381—731no—
1059#380—731no—
1060#380—731no—
1061#380—731no—
1062#380—731no—
1063#380—731no—
1064#380C2×D7311yescharacteristic, complemented
1065#379—731no—
1066#379—731no—
1067#379—731no—
1068#379—731no—
1069C4×C22⋊C4—731no—
1070C4×C22⋊C4—731no—
1071C4×C22⋊C4—731no—
1072C4×C22⋊C4—731no—
1073C4×C22⋊C4—731no—
1074C4×C22⋊C4C2×D7311yescharacteristic, complemented
1075C25—731no—
1076C25—731no—
1077C22×Q8—731no—
1078C22×D4—731no—
1079C22×D4—731no—
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—731no—
1084C22×D4—731no—
1085C22×D4—731no—
1086C22×D4—731no—
1087C22×D4—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—1464no—
1091C22×D4—1464no—
1092C22×D4—1464no—
1093C22×D4C22×D7311yescharacteristic
1094C22×D4C22×D7311yescharacteristic
1095C22×D4C22×D7311yescharacteristic
1096C23×C4—2922no—
1097C23×C4—2922no—
1098C23×C4—2922no—
1099C23×C4—2922no—
1100C23×C4—731no—
1101C23×C4—731no—
1102C23×C4—731no—
1103C23×C4—731no—
1104C23×C4—731no—
1105C23×C4—731no—
1106C23×C4—731no—
1107C23×C4—731no—
1108C23×C4—731no—
1109C23×C4—731no—
1110C23×C4—731no—
1111C23×C4—731no—
1112C23×C4—731no—
1113C23×C4—1464no—
1114C23×C4—1464no—
1115C23×C4C22×D7311yescharacteristic
1116C23×C4C22×D7311yescharacteristic
1117#126—24no—
1118#126—1464no—
1119#125—1464no—
1120#125—1464no—
1121#123—1464no—
1122#123—1464no—
1123#123—1464no—
1124#123—1464no—
1125C22⋊Q8—2922no—
1126C22⋊Q8—2922no—
1127C22⋊Q8—1464no—
1128C22⋊Q8—1464no—
1129C22⋊Q8—1464no—
1130#121—2922no—
1131#121—2922no—
1132#121—1464no—
1133#120—1464no—
1134#120—1464no—
1135#120—1464no—
1136#120—1464no—
1137C4×D4—24no—
1138C4×D4—2922no—
1139C4×D4—2922no—
1140C4×D4—2922no—
1141C4×D4—2922no—
1142C4×D4—1464no—
1143C4×D4—1464no—
1144C4×D4—1464no—
1145C4×D4—1464no—
1146C4×D4—1464no—
1147C4×D4—1464no—
1148C4×D4—1464no—
1149C4×D4—1464no—
1150C4×D4—1464no—
1151C2×C4⋊C4—731no—
1152C2×C4⋊C4—731no—
1153C2×C4⋊C4—731no—
1154C2×C4⋊C4—731no—
1155C2×C4⋊C4—731no—
1156C2×C4⋊C4—731no—
1157C2×C4⋊C4—731no—
1158C2×C4⋊C4—731no—
1159C2×C4⋊C4—738no—
1160C2×C4⋊C4—731no—
1161C2×C4⋊C4—731no—
1162C2×C4⋊C4—731no—
1163C2×C4⋊C4—731no—
1164C2×C4⋊C4—731no—
1165C2×C4⋊C4—731no—
1166C2×C4⋊C4—731no—
1167C2×C4⋊C4—731no—
1168C2×C4⋊C4—731no—
1169C2×C4⋊C4—731no—
1170C2×C4⋊C4—731no—
1171C2×C4⋊C4—731no—
1172C2×C4⋊C4C22×D7311yescharacteristic
1173C2×C4⋊C4C22×D7311yescharacteristic
1174C2×C4⋊C4C22×D7311yescharacteristic
1175C2×C4⋊C4C22×D7311yescharacteristic
1176C2×C4⋊C4C22×D7311yescharacteristic
1177C2×C4⋊C4C22×D7311yescharacteristic
1178C2×C22⋊C4—731no—
1179C2×C22⋊C4—731no—
1180C2×C22⋊C4—731no—
1181C2×C22⋊C4—731no—
1182C2×C22⋊C4—731no—
1183C2×C22⋊C4—731no—
1184C2×C22⋊C4—731no—
1185C2×C22⋊C4—731no—
1186C2×C22⋊C4—731no—
1187C2×C22⋊C4—731no—
1188C2×C22⋊C4—731no—
1189C2×C22⋊C4—731no—
1190C2×C22⋊C4—731no—
1191C2×C22⋊C4—731no—
1192C2×C22⋊C4—731no—
1193C2×C22⋊C4—731no—
1194C2×C22⋊C4—731no—
1195C2×C22⋊C4—731no—
1196C2×C22⋊C4—731no—
1197C2×C22⋊C4—731no—
1198C2×C22⋊C4—731no—
1199C2×C22⋊C4—731no—
1200C2×C22⋊C4—731no—
1201C2×C22⋊C4—731no—
1202C2×C22⋊C4—731no—
1203C2×C22⋊C4—731no—
1204C2×C22⋊C4—731no—
1205C2×C22⋊C4—731no—
1206C2×C22⋊C4—731no—
1207C2×C22⋊C4—731no—
1208C2×C22⋊C4—731no—
1209C2×C22⋊C4—731no—
1210C2×C22⋊C4—731no—
1211C2×C22⋊C4—731no—
1212C2×C22⋊C4—731no—
1213C2×C22⋊C4—731no—
1214C2×C22⋊C4—731no—
1215C2×C22⋊C4—731no—
1216C2×C22⋊C4—731no—
1217C2×C22⋊C4—731no—
1218C2×C22⋊C4—731no—
1219C2×C22⋊C4—1464no—
1220C2×C22⋊C4—1464no—
1221C2×C22⋊C4C22×D7311yescharacteristic
1222C2×C22⋊C4C22×D7311yescharacteristic
1223C2×C22⋊C4C22×D7311yescharacteristic
1224C2×C22⋊C4C22×D7311yescharacteristic
1225C2×C22⋊C4C22×D7311yescharacteristic
1226C2×C22⋊C4C22×D7311yescharacteristic
1227C2×C22⋊C4C22×D7311yescharacteristic
1228C2×C22⋊C4C22×D7311yescharacteristic
1229C2×C22⋊C4C22×D7311yescharacteristic
1230C2×C22⋊C4C22×D7311yescharacteristic
1231C2×C22⋊C4C22×D7311yescharacteristic
1232C2×C22⋊C4C22×D7311yescharacteristic
1233C2×C22⋊C4C22×D7311yescharacteristic
1234C2×C42—731no—
1235C2×C42—731no—
1236C2×C42—731no—
1237C2×C42—731no—
1238C2×C42—731no—
1239C2×C42—731no—
1240C2×C42—731no—
1241C2×C42—1464no—
1242C2×C42C22×D7311yescharacteristic
1243C2×C42C22×D7311yescharacteristic
1244C2×C42C22×D7311yescharacteristic
1245#95—731no—
1246#95—731no—
1247#95—731no—
1248#95—731no—
1249#95—731no—
1250#95—731no—
1251#95—731no—
1252#95—731no—
1253#95—731no—
1254#95—731no—
1255#95—731no—
1256#95—731no—
1257#95—731no—
1258#95—731no—
1259#95—731no—
1260#95—731no—
1261#95—731no—
1262#95—731no—
1263#95—731no—
1264#95—731no—
1265#95—731no—
1266#95—731no—
1267#95—731no—
1268#95—731no—
1269#95C22×D7311yescharacteristic
1270#95C22×D7311yescharacteristic
1271#95C22×D7311yescharacteristic
1272#95C22×D7311yescharacteristic
1273#95C22×D7311yescharacteristic
1274#95C22×D7311yescharacteristic
1275#95C22×D7311yescharacteristic
1276#95C22×D7311yescharacteristic
1277C24—2921no—
1278C24—2921no—
1279C24—2921no—
1280C24—2921no—
1281C24—2921no—
1282C24—2921no—
1283C24—2921no—
1284C24—2921no—
1285C24—734no—
1286C24—734no—
1287C24—731no—
1288C24—731no—
1289C24—731no—
1290C24—731no—
1291C24—1462no—
1292C24—1462no—
1293C24—1462no—
1294C24—1462no—
1295C24C23×D7311yescharacteristic
1296C24C23×D7311yescharacteristic
1297C24C23×D7311yescharacteristic
1298C2×Q8—2921no—
1299C2×Q8—2921no—
1300C2×Q8—1462no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—2921no—
1311C2×D4—2921no—
1312C2×D4—2921no—
1313C2×D4—2921no—
1314C2×D4—2921no—
1315C2×D4—2921no—
1316C2×D4—2921no—
1317C2×D4—2921no—
1318C2×D4—2921no—
1319C2×D4—2921no—
1320C2×D4—2921no—
1321C2×D4—2921no—
1322C2×D4—2921no—
1323C2×D4—2921no—
1324C2×D4—1462no—
1325C2×D4—1462no—
1326C2×D4—1462no—
1327C2×D4—1462no—
1328C2×D4—1462no—
1329C2×D4—1462no—
1330C2×D4—1462no—
1331C2×D4—1462no—
1332C2×D4—1462no—
1333C2×D4—1462no—
1334C2×D4—14632no—
1335C2×D4—1462no—
1336C2×D4—1462no—
1337C2×D4—1462no—
1338C2×D4—1462no—
1339C2×D4—1462no—
1340C2×D4—1462no—
1341C2×D4—1462no—
1342C2×D4—1462no—
1343C2×D4—1462no—
1344C2×D4—1462no—
1345C2×D4—1462no—
1346C2×D4—1462no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—2921no—
1354C22×C4—2921no—
1355C22×C4—2921no—
1356C22×C4—2921no—
1357C22×C4—2921no—
1358C22×C4—2921no—
1359C22×C4—2921no—
1360C22×C4—2921no—
1361C22×C4—2921no—
1362C22×C4—2921no—
1363C22×C4—2921no—
1364C22×C4—2921no—
1365C22×C4—29216no—
1366C22×C4—29216no—
1367C22×C4—2921no—
1368C22×C4—2921no—
1369C22×C4—2921no—
1370C22×C4—2921no—
1371C22×C4—734no—
1372C22×C4—734no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—734no—
1378C22×C4—731no—
1379C22×C4—731no—
1380C22×C4—731no—
1381C22×C4—731no—
1382C22×C4—731no—
1383C22×C4—731no—
1384C22×C4—731no—
1385C22×C4—731no—
1386C22×C4—1462no—
1387C22×C4—1462no—
1388C22×C4—1462no—
1389C22×C4—1462no—
1390C22×C4—1462no—
1391C22×C4—1462no—
1392C22×C4—1462no—
1393C22×C4—1462no—
1394C22×C4—1462no—
1395C22×C4—1462no—
1396C22×C4—1462no—
1397C22×C4—1462no—
1398C22×C4—1462no—
1399C22×C4—1462no—
1400C22×C4—1462no—
1401C22×C4—1462no—
1402C22×C4—1462no—
1403C22×C4—1462no—
1404C22×C4—1462no—
1405C22×C4—1462no—
1406C22×C4C23×D7311yescharacteristic
1407C22×C4C23×D7311yescharacteristic
1408C22×C4C23×D7311yescharacteristic
1409C22×C4C23×D7311yescharacteristic
1410C22×C4C23×D7311yescharacteristic
1411C22×C4C23×D7311yescharacteristic
1412C22×C4C23×D7311yescharacteristic
1413C22×C4C23×D7311yescharacteristic
1414C22×C4C23×D7311yescharacteristic
1415C22×C4C23×D7311yescharacteristic
1416C22×C4C23×D7311yescharacteristic
1417C22×C4C23×D7311yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—2921no—
1424C4⋊C4—2921no—
1425C4⋊C4—2921no—
1426C4⋊C4—2921no—
1427C4⋊C4—2921no—
1428C4⋊C4—734no—
1429C4⋊C4—734no—
1430C4⋊C4—734no—
1431C4⋊C4—1462no—
1432C4⋊C4—1462no—
1433C4⋊C4—1462no—
1434C4⋊C4—1462no—
1435C4⋊C4—1462no—
1436C4⋊C4—1462no—
1437C4⋊C4—1462no—
1438C4⋊C4—1462no—
1439C4⋊C4—1462no—
1440C4⋊C4—1462no—
1441C4⋊C4—1462no—
1442C4⋊C4—1462no—
1443C4⋊C4D4×D7314yes—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—2921no—
1458C22⋊C4—2921no—
1459C22⋊C4—2921no—
1460C22⋊C4—2921no—
1461C22⋊C4—2921no—
1462C22⋊C4—2921no—
1463C22⋊C4—2921no—
1464C22⋊C4—2921no—
1465C22⋊C4—2921no—
1466C22⋊C4—2921no—
1467C22⋊C4—2921no—
1468C22⋊C4—2921no—
1469C22⋊C4—2921no—
1470C22⋊C4—2921no—
1471C22⋊C4—2921no—
1472C22⋊C4—1462no—
1473C22⋊C4—1462no—
1474C22⋊C4—1462no—
1475C22⋊C4—1462no—
1476C22⋊C4—1462no—
1477C22⋊C4—1462no—
1478C22⋊C4—1462no—
1479C22⋊C4—1462no—
1480C22⋊C4—1462no—
1481C22⋊C4—1462no—
1482C22⋊C4—1462no—
1483C22⋊C4—1462no—
1484C22⋊C4—1462no—
1485C22⋊C4—1462no—
1486C22⋊C4—1462no—
1487C22⋊C4—1462no—
1488C22⋊C4—1462no—
1489C22⋊C4—1462no—
1490C22⋊C4—1462no—
1491C22⋊C4—1462no—
1492C22⋊C4—1462no—
1493C22⋊C4—1462no—
1494C22⋊C4—1462no—
1495C22⋊C4—1462no—
1496C22⋊C4—1462no—
1497C22⋊C4—1462no—
1498C42—22no—
1499C42—22no—
1500C42—41no—
1501C42—2921no—
1502C42—2921no—
1503C42—2921no—
1504C42—1462no—
1505C42—1462no—
1506C42—1462no—
1507C42—1462no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—2924no—
1528C23—2924no—
1529C23—2924no—
1530C23—2924no—
1531C23—2924no—
1532C23—2924no—
1533C23—2924no—
1534C23—2924no—
1535C23—2924no—
1536C23—2924no—
1537C23—2924no—
1538C23—2924no—
1539C23—732no—
1540C23—732no—
1541C23—732no—
1542C23—732no—
1543C23—732no—
1544C23—1468no—
1545C23—1468no—
1546C23—1461no—
1547C23—1461no—
1548C23—1461no—
1549C23—1461no—
1550C23—1461no—
1551C23—1461no—
1552C23—1461no—
1553C23—1461no—
1554C23—1461no—
1555C23—1461no—
1556C23—1461no—
1557C23—1461no—
1558C23—1461no—
1559C23—1461no—
1560C23—1461no—
1561C23—1461no—
1562C23—1461no—
1563C23—1461no—
1564C23—1461no—
1565C23—1461no—
1566C23—1461no—
1567C23—1461no—
1568C23—1461no—
1569C23#41×D7312yes—
1570C23#41×D7312yes—
1571C23C24×D7311yescharacteristic
1572Q8—5842no—
1573D4—28no—
1574D4—44no—
1575D4—82no—
1576D4—2924no—
1577D4—2924no—
1578D4—2924no—
1579D4—2924no—
1580D4—2924no—
1581D4—5842no—
1582D4—5842no—
1583D4—5842no—
1584D4—5842no—
1585D4—1468no—
1586D4—1468no—
1587D4—1468no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—2924no—
1623C2×C4—2924no—
1624C2×C4—2924no—
1625C2×C4—2924no—
1626C2×C4—2924no—
1627C2×C4—2924no—
1628C2×C4—2924no—
1629C2×C4—2924no—
1630C2×C4—2924no—
1631C2×C4—5842no—
1632C2×C4—5842no—
1633C2×C4—732no—
1634C2×C4—732no—
1635C2×C4—732no—
1636C2×C4—732no—
1637C2×C4—1468no—
1638C2×C4—1468no—
1639C2×C4—1461no—
1640C2×C4—1461no—
1641C2×C4—1461no—
1642C2×C4—1461no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4—1461no—
1647C2×C4—1461no—
1648C2×C4—1461no—
1649C2×C4—1461no—
1650C2×C4—1461no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4—1461no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4C2×D4×D7312yes—
1672C2×C4C2×D4×D7312yes—
1673C2×C4C2×D4×D7312yes—
1674C2×C4#1455663712yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—29216no—
1697C22—29216no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—2921no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—734no—
1714C22—1462no—
1715C22—1462no—
1716C22—1462no—
1717C22—1462no—
1718C22—1462no—
1719C22—1462no—
1720C22—1462no—
1721C22—1462no—
1722C22—1462no—
1723C22—1462no—
1724C22—1462no—
1725C22—1462no—
1726C22C22×D4×D7311yescharacteristic
1727C22C2×#41×D7311yescharacteristic
1728C22C2×#41×D7311yescharacteristic
1729C22H(5,𝔽2)×D7311yescharacteristic
1730C22C2×#1455663711yescharacteristic
1731C22#1798942211yescharacteristic
1732C22#1798942311yescharacteristic
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—2921no—
1746C4—2921no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—1462no—
1754C4—1462no—
1755C4—1462no—
1756C4—1462no—
1757C2—42no—
1758C2—42no—
1759C2—81no—
1760C2—2922no—
1761C2—2922no—
1762C2—5841no—
1763C2—1464no—
1764C2#525×D7311yescharacteristic
1765C2#2262334111yescharacteristic
1766C2#2262334211yescharacteristic
1767C2#2262356111yescharacteristic
1768C2#2262358411yescharacteristic
1769C2#2262376011yescharacteristic
1770C2#2262376211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2467C2
hypercenter#2467D73
hypocenterC73#34987
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2467

Complements

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

NH ≅ G/Ntype
1. C2×#17989178C2semidirect
2. C2×C4×D4×D73C2semidirect
3. #22618255C2semidirect
4. #22618251C2semidirect
5. #22618219C2semidirect
6. #22618212C2semidirect
7. #22615737C2semidirect
8. #22615670C2semidirect
9. #22615644C2semidirect
10. #22615642C2semidirect
11. #22613989C2semidirect
12. #22613985C2semidirect
13. #22613978C2semidirect
14. #22613929C2semidirect
15. #22613926C2semidirect
16. #22613923C2semidirect
17. #22613922C2semidirect
18. #22613887C2semidirect
19. #22613883C2semidirect
20. #22613882C2semidirect
21. #22613878C2semidirect
22. #22613829C2semidirect
23. #22613825C2semidirect
24. #22613820C2semidirect
25. #22613816C2semidirect
26. #22612593C2semidirect
27. #22612590C2semidirect
28. #22612530C2semidirect
29. #22612436C2semidirect
30. C4×#14556561C2semidirect
31. C73×#2467C2semidirect
36. C2×#14556586C22semidirect
37. C2×#14556583C22semidirect
38. C2×#14556582C22semidirect
40. C2×#14556575C22semidirect
42. C2×#14556573C22semidirect
44. C2×#14556571C22semidirect
45. C2×#14556570C22semidirect
46. C2×#14556569C22semidirect
47. C2×#14556568C22semidirect
49. C2×#14556564C22semidirect
50. C2×#14556563C22semidirect
57. C2×C4×D292C22semidirect
59. C2×D4×Dic73C22semidirect
63. C2×C4×C22⋊D73C22semidirect
67. C2×#14556551C22semidirect
73. #17988522C22semidirect
74. #17988516C22semidirect
75. #17988515C22semidirect
76. #17988510C22semidirect
77. #17988510C22semidirect
78. #17988509C22semidirect
79. #17988509C22semidirect
82. #17988504C22semidirect
85. #17988503C22semidirect
86. #17988503C22semidirect
90. #17988500C22semidirect
91. #17988499C22semidirect
96. #17988496C22semidirect
100. #17988495C22semidirect
101. #17988488C22semidirect
102. #17988487C22semidirect
103. #17988487C22semidirect
104. #17988481C22semidirect
105. #17988481C22semidirect
106. #17988481C22semidirect
107. #17988480C22semidirect
108. #17988480C22semidirect
109. #17988479C22semidirect
110. #17988479C22semidirect
111. #17988478C22semidirect
112. #17988478C22semidirect
113. #17988478C22semidirect
114. #17988477C22semidirect
115. #17988477C22semidirect
116. #17988476C22semidirect
117. #17988475C22semidirect
118. #17988474C22semidirect
119. #17988474C22semidirect
120. #17988473C22semidirect
121. #17988473C22semidirect
122. #17988472C22semidirect
123. #17988472C22semidirect
124. #17988471C22semidirect
125. #17988471C22semidirect
126. #17988470C22semidirect
127. #17988470C22semidirect
128. #17988469C22semidirect
129. #17988469C22semidirect
130. #17988468C22semidirect
131. #17988468C22semidirect
132. #17988467C22semidirect
133. #17988466C22semidirect
136. #17988465C22semidirect
137. #17988465C22semidirect
138. #17988465C22semidirect
139. #17988464C22semidirect
140. #17988464C22semidirect
143. #17988463C22semidirect
144. #17988463C22semidirect
145. #17988463C22semidirect
146. #17988462C22semidirect
147. #17988462C22semidirect
148. #17988462C22semidirect
151. #17988461C22semidirect
152. #17988461C22semidirect
153. #17988461C22semidirect
154. #17988461C22semidirect
155. #17988460C22semidirect
161. #17988446C22semidirect
162. #17988445C22semidirect
164. #17988444C22semidirect
169. C22⋊C4×Dic73C22semidirect
171. C4×#11924005C22semidirect
173. #17988434C22semidirect
174. C2×#126×C73C22semidirect
176. #399×C73C22semidirect
178. #394×C73C22semidirect
180. #390×C73C22semidirect
181. #388×C73C22semidirect
182. #388×C73C22semidirect
183. #387×C73C22semidirect
184. #387×C73C22semidirect
185. #386×C73C22semidirect
186. #386×C73C22semidirect
187. #380×C73C22semidirect
188. C4×C22⋊C4×C73C22semidirect
278. C4⋊C4×D73D4semidirect
899. #2467D73semidirect
917. C73#34987semidirect
923. C2×#126C2×D73semidirect
962. #399C2×D73semidirect
980. #394C2×D73semidirect
996. #390C2×D73semidirect
1011. #388C2×D73semidirect
1012. #388C2×D73semidirect
1027. #387C2×D73semidirect
1028. #387C2×D73semidirect
1043. #386C2×D73semidirect
1044. #386C2×D73semidirect
1064. #380C2×D73semidirect
1074. C4×C22⋊C4C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891782
C2×C4×D4×D732
#226182552
#226182512
#226182192
#226182122
#226157372
#226156702
#226156442
#226156422
#226139892
#226139852
#226139782
#226139292
#226139262
#226139232
#226139222
#226138872
#226138832
#226138822
#226138782
#226138292
#226138252
#226138202
#226138162
#226125932
#226125902
#226125302
#226124362
C4×#145565612
C73×#24672
#3498773