Finite Group Databasebeta

← #33258648

Subgroups — #33258648

Order 18688.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989176C211yesmaximal, characteristic, complemented
2C2×C4×D4×D73C211yesmaximal, characteristic, complemented
3#22618249C211yesmaximal, characteristic, complemented
4#22618229C211yesmaximal, characteristic, complemented
5#22618222C211yesmaximal, characteristic, complemented
6#22618214C211yesmaximal, characteristic, complemented
7#22615827C211yesmaximal, characteristic, complemented
8#22615821C211yesmaximal, characteristic, complemented
9#22615782C211yesmaximal, characteristic, complemented
10#22615775C211yesmaximal, characteristic, complemented
11#22614188C211yesmaximal, characteristic, complemented
12#22614061C211yesmaximal, characteristic, complemented
13#22613868C211yesmaximal, characteristic, complemented
14#22613825C211yesmaximal, characteristic, complemented
15#22613817C211yesmaximal, characteristic, complemented
16#22613762C211yesmaximal, characteristic, complemented
17#22613686C211yesmaximal, characteristic, complemented
18#22613671C211yesmaximal, characteristic, complemented
19#22613598C211yesmaximal, characteristic, complemented
20#22613474C211yesmaximal, characteristic, complemented
21#22613466C211yesmaximal, characteristic, complemented
22#22613398C211yesmaximal, characteristic, complemented
23#22613300C211yesmaximal, characteristic, complemented
24#22613300C211yesmaximal, characteristic, complemented
25#22613240C211yesmaximal, characteristic, complemented
26#22612635C211yesmaximal, characteristic, complemented
27#22612590C211yesmaximal, characteristic, complemented
28#22612563C211yesmaximal, characteristic, complemented
29C4×#14556561C211yesmaximal, characteristic, complemented
30#386×D73C211yesmaximal, characteristic, complemented
31C73×#2467C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic
35C23×C4×D73C2211yescharacteristic, complemented
36#17989176—28no—
37C2×#14556586C2211yescharacteristic, complemented
38C2×#14556579C2211yescharacteristic, complemented
39C2×#14556577C2211yescharacteristic, complemented
40C2×#14556576C2211yescharacteristic, complemented
41C2×#14556573C2211yescharacteristic, complemented
42C2×#14556573C2211yescharacteristic, complemented
43C2×#14556569C2211yescharacteristic, complemented
44C2×#14556569C2211yescharacteristic, complemented
45C2×#14556566C2211yescharacteristic
46C2×#14556566C2211yescharacteristic
47C2×#14556566C2211yescharacteristic, complemented
48C2×#14556565C2211yescharacteristic, complemented
49C2×#14556564C2211yescharacteristic
50C2×#14556564C2211yescharacteristic
51C2×#14556564C2211yescharacteristic, complemented
52C2×#14556561C2211yescharacteristic
53C2×#14556561C2211yescharacteristic
54C2×#14556561C2211yescharacteristic
55C2×#14556561C2211yescharacteristic, complemented
56C2×#14556561C2211yescharacteristic, complemented
57C2×#14556559C2211yescharacteristic
58C2×#14556559C2211yescharacteristic
59C2×C4×D292C2211yescharacteristic
60C2×C4×D292C2211yescharacteristic, complemented
61C2×C4×D292C2211yescharacteristic, complemented
62C2×D4×Dic73C2211yescharacteristic, complemented
63C2×#14556553C2211yescharacteristic
64C2×C4×C22⋊D73C2211yescharacteristic
65C2×C4×C22⋊D73C2211yescharacteristic, complemented
66C2×C4×C22⋊D73C2211yescharacteristic, complemented
67C2×#14556551C2211yescharacteristic
68C2×#14556551C2211yescharacteristic, complemented
69C4×D4×D73—28no—
70C2×C4⋊C4×D73C2211yescharacteristic, complemented
71C2×C22⋊C4×D73C2211yescharacteristic
72C2×C22⋊C4×D73C2211yescharacteristic
73C2×C22⋊C4×D73C2211yescharacteristic, complemented
74C2×C22⋊C4×D73C2211yescharacteristic, complemented
75C2×C22⋊C4×D73C2211yescharacteristic, complemented
76C2×C42×D73C2211yescharacteristic, complemented
77#17988526C2211yescharacteristic, complemented
78#17988525C2211yescharacteristic, complemented
79#17988524C2211yescharacteristic, complemented
80#17988517C2211yescharacteristic, complemented
81#17988516C2211yescharacteristic, complemented
82#17988514C2211yescharacteristic, complemented
83#17988512C2211yescharacteristic, complemented
84#17988510C2211yescharacteristic, complemented
85#17988510C2211yescharacteristic, complemented
86#17988510C2211yescharacteristic, complemented
87#17988510C2211yescharacteristic, complemented
88#17988505C2211yescharacteristic, complemented
89#17988504C2211yescharacteristic, complemented
90#17988504C2211yescharacteristic, complemented
91#17988503C2211yescharacteristic, complemented
92#17988502C2211yescharacteristic, complemented
93#17988502C2211yescharacteristic, complemented
94#17988502C2211yescharacteristic, complemented
95#17988499C2211yescharacteristic, complemented
96#17988499C2211yescharacteristic, complemented
97#17988496C2211yescharacteristic
98#17988496C2211yescharacteristic, complemented
99#17988496C2211yescharacteristic, complemented
100#17988495C2211yescharacteristic
101#17988495C2211yescharacteristic
102#17988495C2211yescharacteristic, complemented
103#17988495C2211yescharacteristic, complemented
104#17988495C2211yescharacteristic, complemented
105#17988491C2211yescharacteristic, complemented
106#17988487C2211yescharacteristic, complemented
107#17988487C2211yescharacteristic, complemented
108#17988481C2211yescharacteristic, complemented
109#17988481C2211yescharacteristic, complemented
110#17988478C2211yescharacteristic, complemented
111#17988478C2211yescharacteristic, complemented
112#17988478C2211yescharacteristic, complemented
113#17988478C2211yescharacteristic, complemented
114#17988477C2211yescharacteristic, complemented
115#17988477C2211yescharacteristic, complemented
116#17988476C2211yescharacteristic, complemented
117#17988476C2211yescharacteristic, complemented
118#17988474C2211yescharacteristic, complemented
119#17988473C2211yescharacteristic, complemented
120#17988471C2211yescharacteristic, complemented
121#17988469C2211yescharacteristic, complemented
122#17988467C2211yescharacteristic, complemented
123#17988467C2211yescharacteristic, complemented
124#17988466C2211yescharacteristic, complemented
125#17988465C2211yescharacteristic
126#17988465C2211yescharacteristic
127#17988465C2211yescharacteristic
128#17988465C2211yescharacteristic
129#17988465C2211yescharacteristic
130#17988465C2211yescharacteristic
131#17988465C2211yescharacteristic, complemented
132#17988465C2211yescharacteristic, complemented
133#17988465C2211yescharacteristic, complemented
134#17988465C2211yescharacteristic, complemented
135#17988465C2211yescharacteristic, complemented
136#17988465C2211yescharacteristic, complemented
137#17988464C2211yescharacteristic, complemented
138#17988464C2211yescharacteristic, complemented
139#17988464C2211yescharacteristic, complemented
140#17988464C2211yescharacteristic, complemented
141#17988463C2211yescharacteristic
142#17988463C2211yescharacteristic
143#17988463C2211yescharacteristic
144#17988463C2211yescharacteristic
145#17988463C2211yescharacteristic
146#17988463C2211yescharacteristic
147#17988463C2211yescharacteristic, complemented
148#17988462C2211yescharacteristic, complemented
149#17988462C2211yescharacteristic, complemented
150#17988461C2211yescharacteristic, complemented
151#17988461C2211yescharacteristic, complemented
152#17988461C2211yescharacteristic, complemented
153#17988461C2211yescharacteristic, complemented
154#17988461C2211yescharacteristic, complemented
155#17988460C2211yescharacteristic, complemented
156#17988458C2211yescharacteristic, complemented
157#17988458C2211yescharacteristic, complemented
158#17988458C2211yescharacteristic, complemented
159#17988458C2211yescharacteristic, complemented
160#17988454C2211yescharacteristic, complemented
161#17988451C2211yescharacteristic, complemented
162#17988449C2211yescharacteristic, complemented
163#17988449C2211yescharacteristic, complemented
164#17988444C2211yescharacteristic, complemented
165#17988444C2211yescharacteristic, complemented
166#17988444C2211yescharacteristic, complemented
167#17988442C2211yescharacteristic
168#17988442C2211yescharacteristic, complemented
169#17988442C2211yescharacteristic, complemented
170C4×#11924005C2211yescharacteristic, complemented
171C4×#11924005C2211yescharacteristic, complemented
172#95×D73C2211yescharacteristic, complemented
173#95×D73C2211yescharacteristic, complemented
174C2×#126×C73C2211yescharacteristic, complemented
175C2×C4×D4×C73C2211yescharacteristic, complemented
176#399×C73C2211yescharacteristic, complemented
177#394×C73C2211yescharacteristic, complemented
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
191C24×D73C2311yescharacteristic
192C22×Dic146C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×D292C2311yescharacteristic
199C22×D292C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C22×C22⋊D73C2311yescharacteristic
205C22×C22⋊D73C2311yescharacteristic
206C22×C22⋊D73C2311yescharacteristic
207C22×C22⋊D73C2311yescharacteristic
208C22×C22⋊D73C2311yescharacteristic
209C2×D4×D73—24no—
210C2×D4×D73—24no—
211C2×D4×D73—24no—
212C2×D4×D73—24no—
213C2×D4×D73—42no—
214C2×D4×D73—42no—
215C23×Dic73C2311yescharacteristic
216C23×Dic73C2311yescharacteristic
217C22×C4×D73—24no—
218C22×C4×D73—24no—
219C22×C4×D73—42no—
220C22×C4×D73—42no—
221C22×C4×D73—42no—
222C22×C4×D73—42no—
223C22×C4×D73C2311yescharacteristic
224C22×C4×D73C2311yescharacteristic
225C22×C4×D73C2311yescharacteristic
226C22×C4×D73C2311yescharacteristic
227C22×C4×D73C2311yescharacteristic
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230C22×C4×D73C2311yescharacteristic
231C22×C4×D73C2311yescharacteristic
232C22×C4×D73C2311yescharacteristic
233C22×C4×D73C2311yescharacteristic
234C22×C4×D73C2311yescharacteristic
235C22×C4×D73C2311yescharacteristic
236#14556586—24no—
237#14556579—24no—
238#14556577—24no—
239#14556576—24no—
240#14556573—24no—
241#14556573—42no—
242#14556569—24no—
243#14556569—42no—
244#14556566—24no—
245#14556566—24no—
246#14556566—42no—
247#14556565—42no—
248#14556564—24no—
249#14556564—24no—
250#14556564—42no—
251#14556561—24no—
252#14556561—24no—
253#14556561—24no—
254#14556561—42no—
255#14556561—42no—
256#14556559—24no—
257#14556559—42no—
258C4×D292—24no—
259C4×D292—24no—
260C4×D292—42no—
261D4×Dic73—24no—
262#14556553D418yescomplemented
263C4×C22⋊D73—24no—
264C4×C22⋊D73—24no—
265C4×C22⋊D73—42no—
266#14556551—24no—
267#14556551—24no—
268C2×C4⋊Dic73C2311yescharacteristic
269C2×C4⋊Dic73C2311yescharacteristic
270C2×C4⋊Dic73C2311yescharacteristic
271C2×C4⋊Dic73C2311yescharacteristic
272C2×C4⋊Dic73C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×#11924007C2311yescharacteristic
275C2×#11924007C2311yescharacteristic
276C2×#11924007C2311yescharacteristic
277C2×#11924007C2311yescharacteristic
278C2×#11924007C2311yescharacteristic
279C2×#11924007C2311yescharacteristic
280C2×#11924007C2311yescharacteristic
281C2×#11924007C2311yescharacteristic
282C4⋊C4×D73—24no—
283C2×C22⋊Dic73C2311yescharacteristic
284C2×C22⋊Dic73C2311yescharacteristic
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic
291C2×C22⋊Dic73C2311yescharacteristic
292C2×C22⋊Dic73C2311yescharacteristic
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
320C2×#11924005C2311yescharacteristic
321C2×#11924005C2311yescharacteristic
322C2×#11924005C2311yescharacteristic
323C2×#11924005C2311yescharacteristic
324C2×#11924005C2311yescharacteristic
325C2×#11924005C2311yescharacteristic
326C22⋊C4×D73—24no—
327C22⋊C4×D73—24no—
328C22⋊C4×D73—24no—
329C22⋊C4×D73—42no—
330C22⋊C4×D73—42no—
331C2×C4×Dic73C2311yescharacteristic
332C2×C4×Dic73C2311yescharacteristic
333C2×C4×Dic73C2311yescharacteristic
334C2×C4×Dic73C2311yescharacteristic
335C42×D73—24no—
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
354#14556498C2311yescharacteristic
355#14556498C2311yescharacteristic
356#14556498C2311yescharacteristic
357#14556498C2311yescharacteristic
358#14556498C2311yescharacteristic
359#14556498C2311yescharacteristic
360C22×D4×C73C2311yescharacteristic
361C22×D4×C73C2311yescharacteristic
362C22×D4×C73C2311yescharacteristic
363C23×C4×C73C2311yescharacteristic
364C23×C4×C73C2311yescharacteristic
365#126×C73—24no—
366C4×D4×C73—24no—
367C2×C4⋊C4×C73C2311yescharacteristic
368C2×C4⋊C4×C73C2311yescharacteristic
369C2×C4⋊C4×C73C2311yescharacteristic
370C2×C4⋊C4×C73C2311yescharacteristic
371C2×C4⋊C4×C73C2311yescharacteristic
372C2×C4⋊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×C22⋊C4×C73C2311yescharacteristic
381C2×C22⋊C4×C73C2311yescharacteristic
382C2×C22⋊C4×C73C2311yescharacteristic
383C2×C22⋊C4×C73C2311yescharacteristic
384C2×C22⋊C4×C73C2311yescharacteristic
385C2×C22⋊C4×C73C2311yescharacteristic
386C2×C42×C73C2311yescharacteristic
387C2×C42×C73C2311yescharacteristic
388C2×C42×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391#95×C73C2311yescharacteristic
392#95×C73C2311yescharacteristic
393#95×C73C2311yescharacteristic
394#95×C73C2311yescharacteristic
395#95×C73C2311yescharacteristic
396#95×C73C2311yescharacteristic
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—22no—
400C23×D73—22no—
401C23×D73—22no—
402C23×D73—22no—
403C23×D73—22no—
404C23×D73—22no—
405C23×D73—22no—
406C23×D73—22no—
407C23×D73—22no—
408C23×D73—22no—
409C23×D73—41no—
410C23×D73—41no—
411C23×D73—41no—
412C23×D73—41no—
413C23×D73—41no—
414C23×D73—41no—
415C23×D73—41no—
416C23×D73—41no—
417C23×D73#4114yes—
418C23×D73C2411yescharacteristic
419C23×D73C2411yescharacteristic
420C23×D73C2411yescharacteristic
421C23×D73C2411yescharacteristic
422C23×D73C2411yescharacteristic
423C2×Dic146—22no—
424C2×Dic146—41no—
425C2×Dic146—41no—
426C2×D292—22no—
427C2×D292—22no—
428C2×D292—22no—
429C2×D292—22no—
430C2×D292—22no—
431C2×D292—22no—
432C2×D292—22no—
433C2×D292—22no—
434C2×D292—22no—
435C2×D292—22no—
436C2×D292—22no—
437C2×D292—22no—
438C2×D292—22no—
439C2×D292—22no—
440C2×D292—41no—
441C2×D292—41no—
442C2×D292—41no—
443C2×D292—41no—
444C2×D292—41no—
445C2×D292—41no—
446C2×D292C2×D414yes—
447C2×C22⋊D73—22no—
448C2×C22⋊D73—22no—
449C2×C22⋊D73—22no—
450C2×C22⋊D73—22no—
451C2×C22⋊D73—22no—
452C2×C22⋊D73—22no—
453C2×C22⋊D73—22no—
454C2×C22⋊D73—22no—
455C2×C22⋊D73—22no—
456C2×C22⋊D73—22no—
457C2×C22⋊D73—22no—
458C2×C22⋊D73—22no—
459C2×C22⋊D73—22no—
460C2×C22⋊D73—22no—
461C2×C22⋊D73—41no—
462C2×C22⋊D73—41no—
463C2×C22⋊D73—41no—
464C2×C22⋊D73—41no—
465C2×C22⋊D73—41no—
466C2×C22⋊D73—41no—
467C2×C22⋊D73—41no—
468C2×C22⋊D73—41no—
469C2×C22⋊D73—41no—
470C2×C22⋊D73—41no—
471C2×C22⋊D73—41no—
472C2×C22⋊D73—41no—
473C2×C22⋊D73#4114yes—
474D4×D73—232no—
475D4×D73—416no—
476C22×Dic73—22no—
477C22×Dic73—22no—
478C22×Dic73—41no—
479C22×Dic73—41no—
480C22×Dic73—41no—
481C22×Dic73—41no—
482C22×Dic73C2411yescharacteristic
483C22×Dic73C2411yescharacteristic
484C22×Dic73C2411yescharacteristic
485C22×Dic73C2411yescharacteristic
486C22×Dic73C2411yescharacteristic
487C22×Dic73C2411yescharacteristic
488C22×Dic73C2411yescharacteristic
489C22×Dic73C2411yescharacteristic
490C22×Dic73C2411yescharacteristic
491C22×Dic73C2411yescharacteristic
492C22×Dic73C2411yescharacteristic
493C2×C4×D73—22no—
494C2×C4×D73—22no—
495C2×C4×D73—22no—
496C2×C4×D73—22no—
497C2×C4×D73—22no—
498C2×C4×D73—22no—
499C2×C4×D73—22no—
500C2×C4×D73—22no—
501C2×C4×D73—22no—
502C2×C4×D73—22no—
503C2×C4×D73—22no—
504C2×C4×D73—22no—
505C2×C4×D73—22no—
506C2×C4×D73—22no—
507C2×C4×D73—22no—
508C2×C4×D73—22no—
509C2×C4×D73—22no—
510C2×C4×D73—22no—
511C2×C4×D73—22no—
512C2×C4×D73—22no—
513C2×C4×D73—416no—
514C2×C4×D73—416no—
515C2×C4×D73—41no—
516C2×C4×D73—41no—
517C2×C4×D73—41no—
518C2×C4×D73—41no—
519C2×C4×D73—41no—
520C2×C4×D73—41no—
521C2×C4×D73—41no—
522C2×C4×D73—41no—
523C2×C4×D73—41no—
524C2×C4×D73—41no—
525C2×C4×D73—41no—
526C2×C4×D73—41no—
527C2×C4×D73—41no—
528C2×C4×D73—41no—
529C2×C4×D73—41no—
530C2×C4×D73—41no—
531C2×C4×D73—41no—
532C2×C4×D73C2×D414yes—
533C2×C4×D73C2×D414yescomplemented
534C4⋊Dic73—22no—
535C4⋊Dic73—22no—
536C4⋊Dic73—41no—
537C4⋊Dic73—41no—
538C4⋊Dic73—41no—
539#11924007—22no—
540#11924007—22no—
541#11924007—22no—
542#11924007—22no—
543#11924007—22no—
544#11924007—22no—
545#11924007—41no—
546#11924007—41no—
547#11924007—41no—
548C22⋊Dic73—22no—
549C22⋊Dic73—22no—
550C22⋊Dic73—22no—
551C22⋊Dic73—22no—
552C22⋊Dic73—41no—
553C22⋊Dic73—41no—
554C22⋊Dic73—41no—
555C22⋊Dic73—41no—
556C22⋊Dic73—41no—
557C22⋊Dic73—41no—
558#11924005—22no—
559#11924005—22no—
560#11924005—22no—
561#11924005—22no—
562#11924005—22no—
563#11924005—22no—
564#11924005—22no—
565#11924005—22no—
566#11924005—22no—
567#11924005—22no—
568#11924005—22no—
569#11924005—22no—
570#11924005—22no—
571#11924005—22no—
572#11924005—22no—
573#11924005—22no—
574#11924005—22no—
575#11924005—22no—
576#11924005—22no—
577#11924005—22no—
578#11924005—22no—
579#11924005—41no—
580#11924005—41no—
581#11924005—41no—
582#11924005—41no—
583#11924005—41no—
584#11924005—41no—
585#11924005—41no—
586#11924005—41no—
587#11924005—41no—
588#11924005—41no—
589#11924005C2×D414yes—
590#11924005C2×D414yescomplemented
591C4×Dic73—22no—
592C4×Dic73—22no—
593C4×Dic73—41no—
594C4×Dic73C2×D414yescomplemented
595C24×C73C2411yescharacteristic
596C24×C73C2411yescharacteristic
597C24×C73C2411yescharacteristic
598C2×D4×C73—22no—
599C2×D4×C73—22no—
600C2×D4×C73—22no—
601C2×D4×C73—22no—
602C2×D4×C73—22no—
603C2×D4×C73—41no—
604C2×D4×C73—41no—
605C2×D4×C73—41no—
606C2×D4×C73—41no—
607C22×C4×C73—22no—
608C22×C4×C73—22no—
609C22×C4×C73—22no—
610C22×C4×C73—22no—
611C22×C4×C73—41no—
612C22×C4×C73—41no—
613C22×C4×C73C2411yescharacteristic
614C22×C4×C73C2411yescharacteristic
615C22×C4×C73C2411yescharacteristic
616C22×C4×C73C2411yescharacteristic
617C22×C4×C73C2411yescharacteristic
618C22×C4×C73C2411yescharacteristic
619C22×C4×C73C2411yescharacteristic
620C22×C4×C73C2411yescharacteristic
621C22×C4×C73C2411yescharacteristic
622C22×C4×C73C2411yescharacteristic
623C22×C4×C73C2411yescharacteristic
624C22×C4×C73C2411yescharacteristic
625C4⋊C4×C73—22no—
626C4⋊C4×C73—22no—
627C4⋊C4×C73—41no—
628C4⋊C4×C73—41no—
629C4⋊C4×C73—41no—
630C4⋊C4×C73C2×D414yescomplemented
631C22⋊C4×C73—22no—
632C22⋊C4×C73—22no—
633C22⋊C4×C73—22no—
634C22⋊C4×C73—22no—
635C22⋊C4×C73—22no—
636C22⋊C4×C73—22no—
637C22⋊C4×C73—22no—
638C22⋊C4×C73—22no—
639C22⋊C4×C73—41no—
640C22⋊C4×C73—41no—
641C22⋊C4×C73—41no—
642C22⋊C4×C73—41no—
643C22⋊C4×C73—41no—
644C42×C73—22no—
645C42×C73—22no—
646C42×C73—41no—
647C23×C73—21no—
648C23×C73—21no—
649C23×C73—21no—
650C23×C73—21no—
651C23×C73—21no—
652C23×C73—21no—
653C23×C73—21no—
654C23×C73—21no—
655C23×C73—21no—
656C23×C73—21no—
657C23×C73—21no—
658C23×C73—21no—
659C23×C73—21no—
660C23×C73—21no—
661C23×C73—21no—
662C23×C73—21no—
663C23×C73—21no—
664C23×C73—21no—
665C23×C73—21no—
666C23×C73C2×#4112yes—
667C23×C73C2×#4112yes—
668C23×C73C2511yescharacteristic
669C22×D73—21no—
670C22×D73—21no—
671C22×D73—21no—
672C22×D73—21no—
673C22×D73—21no—
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—28no—
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—21no—
682C22×D73—21no—
683C22×D73—21no—
684C22×D73—28no—
685C22×D73—28no—
686C22×D73—21no—
687C22×D73—21no—
688C22×D73—21no—
689C22×D73—21no—
690C22×D73—21no—
691C22×D73—21no—
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—44no—
701C22×D73—44no—
702C22×D73—44no—
703C22×D73—44no—
704C22×D73—44no—
705C22×D73—44no—
706C22×D73—44no—
707C22×D73—44no—
708C22×D73—44no—
709C22×D73—44no—
710C22×D73—44no—
711C22×D73—44no—
712C22×D73—44no—
713C22×D73—44no—
714C22×D73—82no—
715C22×D73—82no—
716C22×D73—82no—
717C22×D73—82no—
718C22×D73C22×D412yes—
719C22×D73C22×D412yes—
720C22×D73C2×#4112yes—
721C22×D73C2×#4112yes—
722C22×D73C2×#4112yes—
723C22×D73H(5,𝔽2)12yes—
724C22×D73H(5,𝔽2)12yes—
725D4×C73—28no—
726D4×C73—44no—
727D4×C73—82no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—44no—
761C2×C4×C73—44no—
762C2×C4×C73C22×D412yes—
763C2×C4×C73C22×D412yes—
764C2×C4×C73C22×D412yes—
765C2×C4×C73H(5,𝔽2)12yes—
766C22⋊D73—28no—
767C22⋊D73—28no—
768C22⋊D73—44no—
769C22⋊D73—44no—
770C22⋊D73—44no—
771C22⋊D73—82no—
772C22⋊D73—82no—
773C22⋊D73—82no—
774C22⋊D73—82no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—44no—
806C2×Dic73—44no—
807C2×Dic73C22×D412yes—
808C2×Dic73C22×D412yes—
809C2×Dic73C2×#4112yes—
810D292—28no—
811D292—44no—
812D292—44no—
813D292—44no—
814D292—82no—
815D292—82no—
816D292—82no—
817C4×D73—28no—
818C4×D73—28no—
819C4×D73—44no—
820C4×D73—44no—
821C4×D73—44no—
822C4×D73—44no—
823C4×D73—44no—
824C4×D73—44no—
825C4×D73—44no—
826C4×D73—44no—
827C4×D73—82no—
828C4×D73—82no—
829C4×D73—82no—
830Dic146—82no—
831C22×C73—22no—
832C22×C73—22no—
833C22×C73—22no—
834C22×C73—22no—
835C22×C73—22no—
836C22×C73—22no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—41no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73C23×D411yescharacteristic
853C22×C73C22×#4111yescharacteristic
854C22×C73C22×#4111yescharacteristic
855C22×C73C2×H(5,𝔽2)11yescharacteristic
856C22×C73C2×H(5,𝔽2)11yescharacteristic
857C22×C73C2×H(5,𝔽2)11yescharacteristic
858C22×C73#58511yescharacteristic
859C2×D73—22no—
860C2×D73—22no—
861C2×D73—22no—
862C2×D73—22no—
863C2×D73—22no—
864C2×D73—22no—
865C2×D73—22no—
866C2×D73—22no—
867C2×D73—22no—
868C2×D73—22no—
869C2×D73—22no—
870C2×D73—22no—
871C2×D73—22no—
872C2×D73—22no—
873C2×D73—22no—
874C2×D73—416no—
875C2×D73—416no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—41no—
889C2×D73—41no—
890C2×D73—41no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—88no—
895C2×D73#52514yes—
896C2×D73#53814yescomplemented
897C4×C73—22no—
898C4×C73—22no—
899C4×C73—22no—
900C4×C73—22no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73—41no—
904C4×C73—41no—
905C4×C73—41no—
906C4×C73—41no—
907C4×C73—41no—
908C4×C73—41no—
909Dic73—22no—
910Dic73—22no—
911Dic73—22no—
912Dic73—41no—
913Dic73—41no—
914Dic73—41no—
915Dic73—41no—
916Dic73—41no—
917Dic73—41no—
918Dic73—41no—
919Dic73—41no—
920#34990—731nomaximal, Sylow
921C2×C73—42no—
922C2×C73—42no—
923C2×C73—81no—
924C2×C73C2×#52511yescharacteristic
925C2×C73C2×#53811yescharacteristic
926C2×C73#345911yescharacteristic
927C2×C73#348411yescharacteristic
928C2×C73#348811yescharacteristic
929C2×C73#351311yescharacteristic
930C2×C73#351911yescharacteristic
931D73—24no—
932D73—24no—
933D73—42no—
934D73—81no—
935D73—81no—
936C2×#538—731no—
937C22×C4×D4—731no—
938#2852—731no—
939#2850—731no—
940#2849—731no—
941#2847—731no—
942#2636—731no—
943#2635—731no—
944#2631—731no—
945#2630—731no—
946#2481—731no—
947#2472—731no—
948#2467D7311yescharacteristic, complemented
949#2459—731no—
950#2456—731no—
951#2456—731no—
952#2450—731no—
953#2444—731no—
954#2443—731no—
955#2437—731no—
956#2424—731no—
957#2424—731no—
958#2418—731no—
959#2410—731no—
960#2410—731no—
961#2403—731no—
962#2325—731no—
963#2321—731no—
964#2318—731no—
965C4×#120—731no—
966C2×#386—731no—
967C73#3499011yescharacteristic, complemented, Sylow
968C23×D4—731no—
969C23×D4—731no—
970C24×C4—731no—
971C24×C4—731no—
972#538—1468no—
973C2×#126—731no—
974C2×#126C2×D7311yescharacteristic, complemented
975C2×#124—731no—
976C2×#124—731no—
977C2×#123—731no—
978C2×#123—731no—
979C2×#123—731no—
980C2×C22⋊Q8—731no—
981C2×C22⋊Q8—731no—
982C2×#121—731no—
983C2×#121—731no—
984C2×#121—731no—
985C2×#121—731no—
986C2×#121—731no—
987C2×#121—731no—
988C2×#121—731no—
989C2×#120—731no—
990C2×#120—731no—
991C2×#120—731no—
992C2×#120—731no—
993C2×#120—731no—
994C2×#120—731no—
995C2×#120—731no—
996C2×C4×D4—731no—
997C2×C4×D4—731no—
998C2×C4×D4—731no—
999C2×C4×D4—731no—
1000C2×C4×D4—731no—
1001C2×C4×D4—731no—
1002C2×C4×D4—731no—
1003C2×C4×D4—731no—
1004C2×C4×D4—731no—
1005C2×C4×D4—731no—
1006C2×C4×D4—1468no—
1007C2×C4×D4C2×D7311yescharacteristic, complemented
1008C22×C4⋊C4—731no—
1009C22×C22⋊C4—731no—
1010C22×C22⋊C4—731no—
1011C22×C22⋊C4—731no—
1012C22×C22⋊C4—731no—
1013C22×C22⋊C4—731no—
1014C22×C42—731no—
1015#400—731no—
1016#400—731no—
1017#399—731no—
1018#399C2×D7311yescharacteristic, complemented
1019#398—731no—
1020#397—731no—
1021#397—731no—
1022#397—731no—
1023#396—731no—
1024#396—731no—
1025#396—731no—
1026#396—731no—
1027#394—731no—
1028#394—731no—
1029#394—731no—
1030#394—731no—
1031#394—731no—
1032#394—731no—
1033#394—731no—
1034#394C2×D7311yescharacteristic, complemented
1035#394C2×D7311yescharacteristic, complemented
1036#393—731no—
1037#393—731no—
1038#392—731no—
1039#392—731no—
1040#392—731no—
1041#392—731no—
1042#392—731no—
1043#392—731no—
1044#392—731no—
1045#392—731no—
1046#392C2×D7311yescharacteristic
1047#391—731no—
1048#390—731no—
1049#390—731no—
1050#390C2×D7311yescharacteristic, complemented
1051#388—731no—
1052#388—731no—
1053#388—731no—
1054#388—731no—
1055#388—731no—
1056#388—731no—
1057#388—731no—
1058#388—731no—
1059#388—731no—
1060#388—731no—
1061#388C2×D7311yescharacteristic, complemented
1062#388C2×D7311yescharacteristic, complemented
1063#387—731no—
1064#387—731no—
1065#387—731no—
1066#387—731no—
1067#387C2×D7311yescharacteristic, complemented
1068#387C2×D7311yescharacteristic, complemented
1069#386—731no—
1070#386—731no—
1071#386—731no—
1072#386—731no—
1073#386—731no—
1074#386—731no—
1075#386—731no—
1076#386—731no—
1077#386—731no—
1078#386—731no—
1079#386—731no—
1080#386—731no—
1081#386—731no—
1082#386—731no—
1083#386—731no—
1084#386—731no—
1085#386—731no—
1086#386—731no—
1087#386—731no—
1088#386—731no—
1089#386—731no—
1090#386—731no—
1091#386—731no—
1092#386—731no—
1093#386—731no—
1094#386—731no—
1095#386C2×D7311yescharacteristic, complemented
1096#386C2×D7311yescharacteristic, complemented
1097#385—731no—
1098#385—731no—
1099#385—731no—
1100#385—731no—
1101#385—731no—
1102#385—731no—
1103#385—731no—
1104#385—731no—
1105#385—731no—
1106#385—731no—
1107#385—731no—
1108#385—731no—
1109#383—731no—
1110#382—731no—
1111#381—731no—
1112#381—731no—
1113#380—731no—
1114#380—731no—
1115#380—731no—
1116#380C2×D7311yescharacteristic, complemented
1117#379—731no—
1118#379—731no—
1119#379—731no—
1120C4×C22⋊C4—731no—
1121C4×C22⋊C4—731no—
1122C4×C22⋊C4C2×D7311yescharacteristic, complemented
1123C2×#95—731no—
1124C2×#95—731no—
1125C25—731no—
1126C25—731no—
1127C25—731no—
1128C22×Q8—731no—
1129C22×D4—2922no—
1130C22×D4—2922no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—731no—
1135C22×D4—731no—
1136C22×D4—731no—
1137C22×D4—731no—
1138C22×D4—731no—
1139C22×D4—731no—
1140C22×D4—731no—
1141C22×D4—731no—
1142C22×D4—731no—
1143C22×D4—731no—
1144C22×D4—731no—
1145C22×D4—731no—
1146C22×D4—731no—
1147C22×D4—1464no—
1148C22×D4—1464no—
1149C22×D4—1464no—
1150C22×D4—1464no—
1151C22×D4C22×D7311yescharacteristic
1152C22×D4C22×D7311yescharacteristic
1153C22×D4C22×D7311yescharacteristic
1154C23×C4—2922no—
1155C23×C4—2922no—
1156C23×C4—2922no—
1157C23×C4—2922no—
1158C23×C4—731no—
1159C23×C4—731no—
1160C23×C4—731no—
1161C23×C4—731no—
1162C23×C4—731no—
1163C23×C4—731no—
1164C23×C4—731no—
1165C23×C4—731no—
1166C23×C4—731no—
1167C23×C4—731no—
1168C23×C4—731no—
1169C23×C4—731no—
1170C23×C4—731no—
1171C23×C4—731no—
1172C23×C4—731no—
1173C23×C4—1464no—
1174C23×C4—1464no—
1175C23×C4C22×D7311yescharacteristic
1176C23×C4C22×D7311yescharacteristic
1177#126—24no—
1178#126—1464no—
1179#124—1464no—
1180#124—1464no—
1181#123—2922no—
1182#123—1464no—
1183#123—1464no—
1184C22⋊Q8—2922no—
1185C22⋊Q8—1464no—
1186#121—2922no—
1187#121—2922no—
1188#121—2922no—
1189#121—1464no—
1190#121—1464no—
1191#121—1464no—
1192#121—1464no—
1193#120—2922no—
1194#120—2922no—
1195#120—2922no—
1196#120—1464no—
1197#120—1464no—
1198#120—1464no—
1199#120—1464no—
1200C4×D4—24no—
1201C4×D4—2922no—
1202C4×D4—2922no—
1203C4×D4—738no—
1204C4×D4—1464no—
1205C4×D4—1464no—
1206C4×D4—1464no—
1207C4×D4—1464no—
1208C4×D4—1464no—
1209C4×D4—1464no—
1210C4×D4—1464no—
1211C2×C4⋊C4—731no—
1212C2×C4⋊C4—731no—
1213C2×C4⋊C4—731no—
1214C2×C4⋊C4—731no—
1215C2×C4⋊C4—731no—
1216C2×C4⋊C4—731no—
1217C2×C4⋊C4—731no—
1218C2×C4⋊C4—731no—
1219C2×C4⋊C4—731no—
1220C2×C4⋊C4—731no—
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—1464no—
1226C2×C4⋊C4C22×D7311yescharacteristic
1227C2×C4⋊C4C22×D7311yescharacteristic
1228C2×C4⋊C4C22×D7311yescharacteristic
1229C2×C4⋊C4C22×D7311yescharacteristic
1230C2×C4⋊C4C22×D7311yescharacteristic
1231C2×C4⋊C4C22×D7311yescharacteristic
1232C2×C22⋊C4—2922no—
1233C2×C22⋊C4—2922no—
1234C2×C22⋊C4—731no—
1235C2×C22⋊C4—731no—
1236C2×C22⋊C4—731no—
1237C2×C22⋊C4—731no—
1238C2×C22⋊C4—731no—
1239C2×C22⋊C4—731no—
1240C2×C22⋊C4—731no—
1241C2×C22⋊C4—731no—
1242C2×C22⋊C4—731no—
1243C2×C22⋊C4—731no—
1244C2×C22⋊C4—731no—
1245C2×C22⋊C4—731no—
1246C2×C22⋊C4—731no—
1247C2×C22⋊C4—731no—
1248C2×C22⋊C4—731no—
1249C2×C22⋊C4—731no—
1250C2×C22⋊C4—731no—
1251C2×C22⋊C4—731no—
1252C2×C22⋊C4—731no—
1253C2×C22⋊C4—731no—
1254C2×C22⋊C4—731no—
1255C2×C22⋊C4—731no—
1256C2×C22⋊C4—731no—
1257C2×C22⋊C4—731no—
1258C2×C22⋊C4—731no—
1259C2×C22⋊C4—731no—
1260C2×C22⋊C4—731no—
1261C2×C22⋊C4—731no—
1262C2×C22⋊C4—731no—
1263C2×C22⋊C4—731no—
1264C2×C22⋊C4—731no—
1265C2×C22⋊C4—731no—
1266C2×C22⋊C4—731no—
1267C2×C22⋊C4—731no—
1268C2×C22⋊C4—731no—
1269C2×C22⋊C4—731no—
1270C2×C22⋊C4—731no—
1271C2×C22⋊C4—731no—
1272C2×C22⋊C4—731no—
1273C2×C22⋊C4—731no—
1274C2×C22⋊C4—731no—
1275C2×C22⋊C4—731no—
1276C2×C22⋊C4—731no—
1277C2×C22⋊C4—1464no—
1278C2×C22⋊C4—1464no—
1279C2×C22⋊C4—1464no—
1280C2×C22⋊C4C22×D7311yescharacteristic
1281C2×C22⋊C4C22×D7311yescharacteristic
1282C2×C22⋊C4C22×D7311yescharacteristic
1283C2×C22⋊C4C22×D7311yescharacteristic
1284C2×C22⋊C4C22×D7311yescharacteristic
1285C2×C22⋊C4C22×D7311yescharacteristic
1286C2×C22⋊C4C22×D7311yescharacteristic
1287C2×C22⋊C4C22×D7311yescharacteristic
1288C2×C22⋊C4C22×D7311yescharacteristic
1289C2×C22⋊C4C22×D7311yescharacteristic
1290C2×C22⋊C4C22×D7311yescharacteristic
1291C2×C22⋊C4C22×D7311yescharacteristic
1292C2×C22⋊C4C22×D7311yescharacteristic
1293C2×C42—731no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42—1464no—
1298C2×C42C22×D7311yescharacteristic
1299C2×C42C22×D7311yescharacteristic
1300C2×C42C22×D7311yescharacteristic
1301#95—731no—
1302#95—731no—
1303#95—731no—
1304#95—731no—
1305#95—731no—
1306#95—731no—
1307#95—731no—
1308#95—731no—
1309#95—731no—
1310#95—731no—
1311#95—731no—
1312#95—731no—
1313#95—731no—
1314#95—731no—
1315#95—731no—
1316#95—731no—
1317#95—731no—
1318#95—731no—
1319#95—731no—
1320#95—731no—
1321#95—731no—
1322#95—731no—
1323#95—731no—
1324#95—731no—
1325#95C22×D7311yescharacteristic
1326#95C22×D7311yescharacteristic
1327#95C22×D7311yescharacteristic
1328#95C22×D7311yescharacteristic
1329#95C22×D7311yescharacteristic
1330#95C22×D7311yescharacteristic
1331#95C22×D7311yescharacteristic
1332#95C22×D7311yescharacteristic
1333C24—2921no—
1334C24—2921no—
1335C24—2921no—
1336C24—2921no—
1337C24—2921no—
1338C24—2921no—
1339C24—2921no—
1340C24—2921no—
1341C24—734no—
1342C24—731no—
1343C24—731no—
1344C24—731no—
1345C24—731no—
1346C24—731no—
1347C24—1462no—
1348C24—1462no—
1349C24—1462no—
1350C24—1462no—
1351C24—1462no—
1352C24—1462no—
1353C24—1462no—
1354C24—1462no—
1355C24—1462no—
1356C24—1462no—
1357C24—1462no—
1358C24—1462no—
1359C24C23×D7311yescharacteristic
1360C24C23×D7311yescharacteristic
1361C24C23×D7311yescharacteristic
1362C2×Q8—2921no—
1363C2×Q8—2921no—
1364C2×Q8—1462no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—2921no—
1375C2×D4—2921no—
1376C2×D4—2921no—
1377C2×D4—2921no—
1378C2×D4—2921no—
1379C2×D4—2921no—
1380C2×D4—29216no—
1381C2×D4—2921no—
1382C2×D4—2921no—
1383C2×D4—2921no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—2921no—
1387C2×D4—2921no—
1388C2×D4—2921no—
1389C2×D4—2921no—
1390C2×D4—2921no—
1391C2×D4—2921no—
1392C2×D4—2921no—
1393C2×D4—734no—
1394C2×D4—734no—
1395C2×D4—1462no—
1396C2×D4—1462no—
1397C2×D4—1462no—
1398C2×D4—1462no—
1399C2×D4—1462no—
1400C2×D4—1462no—
1401C2×D4—1462no—
1402C2×D4—1462no—
1403C2×D4—1462no—
1404C2×D4—1462no—
1405C2×D4—1462no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1462no—
1409C2×D4—1462no—
1410C2×D4—14632no—
1411C2×D4—1462no—
1412C2×D4—1462no—
1413C2×D4—1462no—
1414C2×D4—1462no—
1415C2×D4—1462no—
1416C2×D4—1462no—
1417C2×D4—1462no—
1418C2×D4—1462no—
1419C2×D4—1462no—
1420C2×D4—1462no—
1421C2×D4—1462no—
1422C2×D4—1462no—
1423C2×D4—1462no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—2921no—
1431C22×C4—2921no—
1432C22×C4—2921no—
1433C22×C4—2921no—
1434C22×C4—2921no—
1435C22×C4—2921no—
1436C22×C4—2921no—
1437C22×C4—2921no—
1438C22×C4—2921no—
1439C22×C4—2921no—
1440C22×C4—2921no—
1441C22×C4—2921no—
1442C22×C4—2921no—
1443C22×C4—2921no—
1444C22×C4—2921no—
1445C22×C4—2921no—
1446C22×C4—2921no—
1447C22×C4—29216no—
1448C22×C4—29216no—
1449C22×C4—2921no—
1450C22×C4—2921no—
1451C22×C4—2921no—
1452C22×C4—2921no—
1453C22×C4—734no—
1454C22×C4—734no—
1455C22×C4—731no—
1456C22×C4—731no—
1457C22×C4—731no—
1458C22×C4—731no—
1459C22×C4—731no—
1460C22×C4—731no—
1461C22×C4—731no—
1462C22×C4—731no—
1463C22×C4—731no—
1464C22×C4—731no—
1465C22×C4—731no—
1466C22×C4—1462no—
1467C22×C4—1462no—
1468C22×C4—1462no—
1469C22×C4—1462no—
1470C22×C4—1462no—
1471C22×C4—1462no—
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×C4C23×D7311yescharacteristic
1489C22×C4C23×D7311yescharacteristic
1490C22×C4C23×D7311yescharacteristic
1491C22×C4C23×D7311yescharacteristic
1492C22×C4C23×D7311yescharacteristic
1493C22×C4C23×D7311yescharacteristic
1494C22×C4C23×D7311yescharacteristic
1495C22×C4C23×D7311yescharacteristic
1496C22×C4C23×D7311yescharacteristic
1497C22×C4C23×D7311yescharacteristic
1498C22×C4C23×D7311yescharacteristic
1499C22×C4C23×D7311yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—41no—
1505C4⋊C4—2921no—
1506C4⋊C4—2921no—
1507C4⋊C4—2921no—
1508C4⋊C4—2921no—
1509C4⋊C4—2921no—
1510C4⋊C4—2921no—
1511C4⋊C4—1462no—
1512C4⋊C4—1462no—
1513C4⋊C4—1462no—
1514C4⋊C4—1462no—
1515C4⋊C4—1462no—
1516C4⋊C4—1462no—
1517C4⋊C4—1462no—
1518C4⋊C4—1462no—
1519C4⋊C4D4×D7314yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—2921no—
1534C22⋊C4—2921no—
1535C22⋊C4—2921no—
1536C22⋊C4—2921no—
1537C22⋊C4—2921no—
1538C22⋊C4—2921no—
1539C22⋊C4—2921no—
1540C22⋊C4—2921no—
1541C22⋊C4—2921no—
1542C22⋊C4—2921no—
1543C22⋊C4—2921no—
1544C22⋊C4—2921no—
1545C22⋊C4—2921no—
1546C22⋊C4—2921no—
1547C22⋊C4—2921no—
1548C22⋊C4—2921no—
1549C22⋊C4—734no—
1550C22⋊C4—734no—
1551C22⋊C4—1462no—
1552C22⋊C4—1462no—
1553C22⋊C4—1462no—
1554C22⋊C4—1462no—
1555C22⋊C4—1462no—
1556C22⋊C4—1462no—
1557C22⋊C4—1462no—
1558C22⋊C4—1462no—
1559C22⋊C4—1462no—
1560C22⋊C4—1462no—
1561C22⋊C4—1462no—
1562C22⋊C4—1462no—
1563C22⋊C4—1462no—
1564C22⋊C4—1462no—
1565C22⋊C4—1462no—
1566C22⋊C4—1462no—
1567C22⋊C4—1462no—
1568C22⋊C4—1462no—
1569C22⋊C4—1462no—
1570C22⋊C4—1462no—
1571C22⋊C4—1462no—
1572C22⋊C4—1462no—
1573C22⋊C4—1462no—
1574C22⋊C4—1462no—
1575C22⋊C4—1462no—
1576C42—22no—
1577C42—22no—
1578C42—41no—
1579C42—2921no—
1580C42—734no—
1581C42—1462no—
1582C42—1462no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—2924no—
1603C23—2924no—
1604C23—2924no—
1605C23—2924no—
1606C23—2924no—
1607C23—2924no—
1608C23—2924no—
1609C23—2924no—
1610C23—2924no—
1611C23—2924no—
1612C23—2924no—
1613C23—2924no—
1614C23—2924no—
1615C23—2924no—
1616C23—5842no—
1617C23—5842no—
1618C23—5842no—
1619C23—5842no—
1620C23—732no—
1621C23—732no—
1622C23—732no—
1623C23—732no—
1624C23—732no—
1625C23—732no—
1626C23—732no—
1627C23—1468no—
1628C23—1468no—
1629C23—1468no—
1630C23—1461no—
1631C23—1461no—
1632C23—1461no—
1633C23—1461no—
1634C23—1461no—
1635C23—1461no—
1636C23—1461no—
1637C23—1461no—
1638C23—1461no—
1639C23—1461no—
1640C23—1461no—
1641C23—1461no—
1642C23—1461no—
1643C23—1461no—
1644C23—1461no—
1645C23—1461no—
1646C23—1461no—
1647C23—1461no—
1648C23—1461no—
1649C23—1461no—
1650C23—1461no—
1651C23—1461no—
1652C23—1461no—
1653C23—1461no—
1654C23—1461no—
1655C23—1461no—
1656C23—1461no—
1657C23—1461no—
1658C23#41×D7312yes—
1659C23#41×D7312yes—
1660C23C24×D7311yescharacteristic
1661Q8—5842no—
1662D4—28no—
1663D4—44no—
1664D4—82no—
1665D4—2924no—
1666D4—2924no—
1667D4—2924no—
1668D4—2924no—
1669D4—2924no—
1670D4—2924no—
1671D4—5842no—
1672D4—5842no—
1673D4—5842no—
1674D4—5842no—
1675D4—5842no—
1676D4—5842no—
1677D4—5842no—
1678D4—1468no—
1679D4—1468no—
1680D4—1468no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—2924no—
1716C2×C4—2924no—
1717C2×C4—2924no—
1718C2×C4—2924no—
1719C2×C4—2924no—
1720C2×C4—2924no—
1721C2×C4—2924no—
1722C2×C4—2924no—
1723C2×C4—2924no—
1724C2×C4—2924no—
1725C2×C4—5842no—
1726C2×C4—5842no—
1727C2×C4—5842no—
1728C2×C4—732no—
1729C2×C4—732no—
1730C2×C4—732no—
1731C2×C4—1468no—
1732C2×C4—1468no—
1733C2×C4—1461no—
1734C2×C4—1461no—
1735C2×C4—1461no—
1736C2×C4—1461no—
1737C2×C4—1461no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1461no—
1748C2×C4—1461no—
1749C2×C4—1461no—
1750C2×C4—1461no—
1751C2×C4—1461no—
1752C2×C4—1461no—
1753C2×C4—1461no—
1754C2×C4—1461no—
1755C2×C4—1461no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4—1461no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4—1461no—
1763C2×C4C2×D4×D7312yes—
1764C2×C4C2×D4×D7312yes—
1765C2×C4C2×D4×D7312yes—
1766C2×C4#1455663712yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—29216no—
1789C22—29216no—
1790C22—2921no—
1791C22—2921no—
1792C22—2921no—
1793C22—2921no—
1794C22—2921no—
1795C22—2921no—
1796C22—2921no—
1797C22—2921no—
1798C22—2921no—
1799C22—2921no—
1800C22—2921no—
1801C22—2921no—
1802C22—2921no—
1803C22—2921no—
1804C22—2921no—
1805C22—2921no—
1806C22—2921no—
1807C22—2921no—
1808C22—5848no—
1809C22—734no—
1810C22—734no—
1811C22—1462no—
1812C22—1462no—
1813C22—1462no—
1814C22—1462no—
1815C22—1462no—
1816C22—1462no—
1817C22—1462no—
1818C22—1462no—
1819C22—1462no—
1820C22—1462no—
1821C22—1462no—
1822C22—1462no—
1823C22—1462no—
1824C22—1462no—
1825C22—1462no—
1826C22C22×D4×D7311yescharacteristic
1827C22C2×#41×D7311yescharacteristic
1828C22C2×#41×D7311yescharacteristic
1829C22H(5,𝔽2)×D7311yescharacteristic
1830C22H(5,𝔽2)×D7311yescharacteristic
1831C22C2×#1455663711yescharacteristic
1832C22#1798942311yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—2921no—
1846C4—2921no—
1847C4—2921no—
1848C4—2921no—
1849C4—2921no—
1850C4—2921no—
1851C4—2921no—
1852C4—2921no—
1853C4—1462no—
1854C4—1462no—
1855C4—1462no—
1856C2—42no—
1857C2—42no—
1858C2—81no—
1859C2—2922no—
1860C2—5841no—
1861C2—5841no—
1862C2—1464no—
1863C2—1464no—
1864C2#525×D7311yescharacteristic
1865C2#538×D7311yescharacteristic
1866C2#2262334111yescharacteristic
1867C2#2262356111yescharacteristic
1868C2#2262359911yescharacteristic
1869C2#2262386811yescharacteristic
1870C2#2262395611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2467C2
hypercenter#2467D73
hypocenterC73#34990
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2467

Complements

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

NH ≅ G/Ntype
1. C2×#17989176C2semidirect
2. C2×C4×D4×D73C2semidirect
3. #22618249C2semidirect
4. #22618229C2semidirect
5. #22618222C2semidirect
6. #22618214C2semidirect
7. #22615827C2semidirect
8. #22615821C2semidirect
9. #22615782C2semidirect
10. #22615775C2semidirect
11. #22614188C2semidirect
12. #22614061C2semidirect
13. #22613868C2semidirect
14. #22613825C2semidirect
15. #22613817C2semidirect
16. #22613762C2semidirect
17. #22613686C2semidirect
18. #22613671C2semidirect
19. #22613598C2semidirect
20. #22613474C2semidirect
21. #22613466C2semidirect
22. #22613398C2semidirect
23. #22613300C2semidirect
24. #22613300C2semidirect
25. #22613240C2semidirect
26. #22612635C2semidirect
27. #22612590C2semidirect
28. #22612563C2semidirect
29. C4×#14556561C2semidirect
30. #386×D73C2semidirect
31. C73×#2467C2semidirect
35. C23×C4×D73C22semidirect
37. C2×#14556586C22semidirect
38. C2×#14556579C22semidirect
39. C2×#14556577C22semidirect
40. C2×#14556576C22semidirect
41. C2×#14556573C22semidirect
42. C2×#14556573C22semidirect
43. C2×#14556569C22semidirect
44. C2×#14556569C22semidirect
47. C2×#14556566C22semidirect
48. C2×#14556565C22semidirect
51. C2×#14556564C22semidirect
55. C2×#14556561C22semidirect
56. C2×#14556561C22semidirect
60. C2×C4×D292C22semidirect
61. C2×C4×D292C22semidirect
62. C2×D4×Dic73C22semidirect
65. C2×C4×C22⋊D73C22semidirect
66. C2×C4×C22⋊D73C22semidirect
68. C2×#14556551C22semidirect
70. C2×C4⋊C4×D73C22semidirect
73. C2×C22⋊C4×D73C22semidirect
74. C2×C22⋊C4×D73C22semidirect
75. C2×C22⋊C4×D73C22semidirect
76. C2×C42×D73C22semidirect
77. #17988526C22semidirect
78. #17988525C22semidirect
79. #17988524C22semidirect
80. #17988517C22semidirect
81. #17988516C22semidirect
82. #17988514C22semidirect
83. #17988512C22semidirect
84. #17988510C22semidirect
85. #17988510C22semidirect
86. #17988510C22semidirect
87. #17988510C22semidirect
88. #17988505C22semidirect
89. #17988504C22semidirect
90. #17988504C22semidirect
91. #17988503C22semidirect
92. #17988502C22semidirect
93. #17988502C22semidirect
94. #17988502C22semidirect
95. #17988499C22semidirect
96. #17988499C22semidirect
98. #17988496C22semidirect
99. #17988496C22semidirect
102. #17988495C22semidirect
103. #17988495C22semidirect
104. #17988495C22semidirect
105. #17988491C22semidirect
106. #17988487C22semidirect
107. #17988487C22semidirect
108. #17988481C22semidirect
109. #17988481C22semidirect
110. #17988478C22semidirect
111. #17988478C22semidirect
112. #17988478C22semidirect
113. #17988478C22semidirect
114. #17988477C22semidirect
115. #17988477C22semidirect
116. #17988476C22semidirect
117. #17988476C22semidirect
118. #17988474C22semidirect
119. #17988473C22semidirect
120. #17988471C22semidirect
121. #17988469C22semidirect
122. #17988467C22semidirect
123. #17988467C22semidirect
124. #17988466C22semidirect
131. #17988465C22semidirect
132. #17988465C22semidirect
133. #17988465C22semidirect
134. #17988465C22semidirect
135. #17988465C22semidirect
136. #17988465C22semidirect
137. #17988464C22semidirect
138. #17988464C22semidirect
139. #17988464C22semidirect
140. #17988464C22semidirect
147. #17988463C22semidirect
148. #17988462C22semidirect
149. #17988462C22semidirect
150. #17988461C22semidirect
151. #17988461C22semidirect
152. #17988461C22semidirect
153. #17988461C22semidirect
154. #17988461C22semidirect
155. #17988460C22semidirect
156. #17988458C22semidirect
157. #17988458C22semidirect
158. #17988458C22semidirect
159. #17988458C22semidirect
160. #17988454C22semidirect
161. #17988451C22semidirect
162. #17988449C22semidirect
163. #17988449C22semidirect
164. #17988444C22semidirect
165. #17988444C22semidirect
166. #17988444C22semidirect
168. #17988442C22semidirect
169. #17988442C22semidirect
170. C4×#11924005C22semidirect
171. C4×#11924005C22semidirect
172. #95×D73C22semidirect
173. #95×D73C22semidirect
174. C2×#126×C73C22semidirect
175. C2×C4×D4×C73C22semidirect
176. #399×C73C22semidirect
177. #394×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
262. #14556553D4semidirect
533. C2×C4×D73C2×D4semidirect
590. #11924005C2×D4semidirect
594. C4×Dic73C2×D4semidirect
630. C4⋊C4×C73C2×D4semidirect
896. C2×D73#538semidirect
948. #2467D73semidirect
967. C73#34990semidirect
974. C2×#126C2×D73semidirect
1007. C2×C4×D4C2×D73semidirect
1018. #399C2×D73semidirect
1034. #394C2×D73semidirect
1035. #394C2×D73semidirect
1050. #390C2×D73semidirect
1061. #388C2×D73semidirect
1062. #388C2×D73semidirect
1067. #387C2×D73semidirect
1068. #387C2×D73semidirect
1095. #386C2×D73semidirect
1096. #386C2×D73semidirect
1116. #380C2×D73semidirect
1122. C4×C22⋊C4C2×D73semidirect
1519. C4⋊C4D4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891762
C2×C4×D4×D732
#226182492
#226182292
#226182222
#226182142
#226158272
#226158212
#226157822
#226157752
#226141882
#226140612
#226138682
#226138252
#226138172
#226137622
#226136862
#226136712
#226135982
#226134742
#226134662
#226133982
#226133002
#226132402
#226126352
#226125902
#226125632
C4×#145565612
#386×D732
C73×#24672
#3499073