Finite Group Databasebeta

← #33250349

Subgroups — #33250349

Order 18688.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989176C211yesmaximal, characteristic
2#22613122C211yesmaximal, characteristic, complemented
3#22613096C211yesmaximal, characteristic, complemented
4#22613080C211yesmaximal, characteristic, complemented
5#22613071C211yesmaximal, characteristic, complemented
6#22613057C211yesmaximal, characteristic, complemented
7#22613055C211yesmaximal, characteristic, complemented
8#22613041C211yesmaximal, characteristic, complemented
9#22613000C211yesmaximal, characteristic, complemented
10#22612959C211yesmaximal, characteristic, complemented
11#22612920C211yesmaximal, characteristic, complemented
12#22612913C211yesmaximal, characteristic, complemented
13#22612876C211yesmaximal, characteristic, complemented
14#22612870C211yesmaximal, characteristic, complemented
15#22612775C211yesmaximal, characteristic, complemented
16#22612774C211yesmaximal, characteristic, complemented
17#22612739C211yesmaximal, characteristic, complemented
18#22612727C211yesmaximal, characteristic, complemented
19#22612695C211yesmaximal, characteristic, complemented
20#22612691C211yesmaximal, characteristic, complemented
21#22612640C211yesmaximal, characteristic, complemented
22#22612630C211yesmaximal, characteristic, complemented
23#22612625C211yesmaximal, characteristic, complemented
24#22612622C211yesmaximal, characteristic, complemented
25#22612593C211yesmaximal, characteristic, complemented
26#22612588C211yesmaximal, characteristic, complemented
27#22612569C211yesmaximal, characteristic, complemented
28C4×#14556576C211yesmaximal, characteristic, complemented
29#22612443C211yesmaximal, characteristic, complemented
30#22612375C211yesmaximal, characteristic, complemented
31C73×#2373C211yesmaximal, characteristic, complemented
32#17989176C4116yescomplemented
33C2×#14556586C2211yescharacteristic
34C2×#14556579C2211yescharacteristic
35C2×#14556577C2211yescharacteristic
36C2×#14556576C2211yescharacteristic
37C2×#14556573C2211yescharacteristic
38C2×#14556569C2211yescharacteristic
39C2×#14556566C2211yescharacteristic
40C2×#14556566C2211yescharacteristic
41C2×#14556564C2211yescharacteristic
42C2×#14556561C2211yescharacteristic
43C2×#14556561C2211yescharacteristic
44C2×C4×Dic146C2211yescharacteristic, complemented
45C2×C4×D292C2211yescharacteristic
46C2×C4×D292C2211yescharacteristic
47C2×C4×D292C2211yescharacteristic
48C2×#14556553C2211yescharacteristic
49C2×#14556553C2211yescharacteristic, complemented
50C2×#14556551C2211yescharacteristic
51C2×#14556551C2211yescharacteristic
52C2×#14556548C2211yescharacteristic
53C2×#14556548C2211yescharacteristic
54C2×#14556548C2211yescharacteristic, complemented
55C22×#11924005C2211yescharacteristic
56C2×C22⋊C4×D73C2211yescharacteristic
57C2×C22⋊C4×D73C2211yescharacteristic
58C2×C42×D73C2211yescharacteristic, complemented
59#17988493C2211yescharacteristic, complemented
60#17988491C2211yescharacteristic, complemented
61#17988491C2211yescharacteristic, complemented
62#17988489C2211yescharacteristic
63#17988489C2211yescharacteristic
64#17988489C2211yescharacteristic, complemented
65#17988488C2211yescharacteristic
66#17988488C2211yescharacteristic
67#17988488C2211yescharacteristic
68#17988488C2211yescharacteristic
69#17988487C2211yescharacteristic
70#17988487C2211yescharacteristic
71#17988486C2211yescharacteristic, complemented
72#17988483C2211yescharacteristic, complemented
73#17988483C2211yescharacteristic, complemented
74#17988482C2211yescharacteristic, complemented
75#17988482C2211yescharacteristic, complemented
76#17988481C2211yescharacteristic
77#17988480C2211yescharacteristic
78#17988480C2211yescharacteristic
79#17988480C2211yescharacteristic
80#17988479C2211yescharacteristic
81#17988479C2211yescharacteristic
82#17988479C2211yescharacteristic
83#17988479C2211yescharacteristic, complemented
84#17988478C2211yescharacteristic
85#17988478C2211yescharacteristic
86#17988478C2211yescharacteristic
87#17988478C2211yescharacteristic
88#17988478C2211yescharacteristic
89#17988478C2211yescharacteristic, complemented
90#17988478C2211yescharacteristic, complemented
91#17988478C2211yescharacteristic, complemented
92#17988477C2211yescharacteristic
93#17988477C2211yescharacteristic
94#17988477C2211yescharacteristic
95#17988477C2211yescharacteristic, complemented
96#17988476C2211yescharacteristic
97#17988476C2211yescharacteristic
98#17988476C2211yescharacteristic
99#17988476C2211yescharacteristic
100#17988476C2211yescharacteristic
101#17988476C2211yescharacteristic, complemented
102#17988476C2211yescharacteristic, complemented
103#17988476C2211yescharacteristic, complemented
104#17988475C2211yescharacteristic
105#17988474C2211yescharacteristic, complemented
106#17988474C2211yescharacteristic, complemented
107#17988473C2211yescharacteristic, complemented
108#17988473C2211yescharacteristic, complemented
109#17988473C2211yescharacteristic, complemented
110#17988472C2211yescharacteristic, complemented
111#17988472C2211yescharacteristic, complemented
112#17988471C2211yescharacteristic, complemented
113#17988469C2211yescharacteristic, complemented
114#17988466C2211yescharacteristic
115#17988466C2211yescharacteristic
116#17988465C2211yescharacteristic
117#17988465C2211yescharacteristic
118#17988465C2211yescharacteristic
119#17988465C2211yescharacteristic
120#17988465C2211yescharacteristic
121#17988465C2211yescharacteristic
122#17988465C2211yescharacteristic
123#17988465C2211yescharacteristic
124#17988465C2211yescharacteristic, complemented
125#17988465C2211yescharacteristic, complemented
126#17988463C2211yescharacteristic
127#17988463C2211yescharacteristic
128#17988462C2211yescharacteristic
129#17988461C2211yescharacteristic
130#17988461C2211yescharacteristic
131#17988461C2211yescharacteristic, complemented
132#17988461C2211yescharacteristic, complemented
133#17988460C2211yescharacteristic
134#17988459C2211yescharacteristic
135#17988458C2211yescharacteristic
136#17988458C2211yescharacteristic
137#17988458C2211yescharacteristic, complemented
138#17988458C2211yescharacteristic, complemented
139#17988456C2211yescharacteristic, complemented
140#17988454C2211yescharacteristic, complemented
141#17988449C2211yescharacteristic
142#17988449C2211yescharacteristic
143#17988449C2211yescharacteristic, complemented
144#17988446C2211yescharacteristic
145#17988446C2211yescharacteristic, complemented
146#17988446C2211yescharacteristic, complemented
147#17988444C2211yescharacteristic
148#17988444C2211yescharacteristic, complemented
149#17988442C2211yescharacteristic
150#17988442C2211yescharacteristic
151C4⋊C4×Dic73C2211yescharacteristic, complemented
152C4⋊C4×Dic73C2211yescharacteristic, complemented
153C4×#11924007C2211yescharacteristic, complemented
154C4×#11924007C2211yescharacteristic, complemented
155C4×C4⋊Dic73C2211yescharacteristic, complemented
156#17988438C2211yescharacteristic, complemented
157C22⋊C4×Dic73C2211yescharacteristic
158C22⋊C4×Dic73C2211yescharacteristic
159C4×#11924005C2211yescharacteristic
160C4×#11924005C2211yescharacteristic
161C4×#11924005C2211yescharacteristic
162C4×#11924005C2211yescharacteristic, complemented
163C4×#11924005C2211yescharacteristic, complemented
164C4×#11924005C2211yescharacteristic, complemented
165#17988434C2211yescharacteristic
166#17988434C2211yescharacteristic
167#17988434C2211yescharacteristic
168#17988434C2211yescharacteristic, complemented
169#17988434C2211yescharacteristic, complemented
170#17988433C2211yescharacteristic, complemented
171#17988432C2211yescharacteristic, complemented
172#95×D73C2211yescharacteristic, complemented
173C2×#126×C73C2211yescharacteristic
174#389×C73C2211yescharacteristic, complemented
175#388×C73C2211yescharacteristic
176#388×C73C2211yescharacteristic
177#388×C73C2211yescharacteristic
178#387×C73C2211yescharacteristic, complemented
179#387×C73C2211yescharacteristic, complemented
180#387×C73C2211yescharacteristic, complemented
181#385×C73C2211yescharacteristic
182C4×C4⋊C4×C73C2211yescharacteristic, complemented
183C4×C4⋊C4×C73C2211yescharacteristic, complemented
184C4×C4⋊C4×C73C2211yescharacteristic, complemented
185C4×C22⋊C4×C73C2211yescharacteristic
186C4×C22⋊C4×C73C2211yescharacteristic
187#376×C73C2211yescharacteristic, complemented
188C24×D73C2311yescharacteristic
189C22×Dic146C2311yescharacteristic
190C22×D292C2311yescharacteristic
191C22×D292C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C23×Dic73C2311yescharacteristic
198C22×C4×D73C2311yescharacteristic
199C22×C4×D73C2311yescharacteristic
200C22×C4×D73C2311yescharacteristic
201C22×C4×D73C2311yescharacteristic
202C22×C4×D73C2311yescharacteristic
203C22×C4×D73C2311yescharacteristic
204C22×C4×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
208#14556586C2×C418yescomplemented
209#14556579C2×C418yescomplemented
210#14556577C2×C418yescomplemented
211#14556576C2×C418yescomplemented
212#14556573C2×C418yescomplemented
213#14556569C2×C418yescomplemented
214#14556566C2×C418yescomplemented
215#14556566C2×C418yescomplemented
216#14556564C2×C418yescomplemented
217#14556561C2×C418yescomplemented
218#14556561C2×C418yescomplemented
219C4×Dic146—42no—
220C4×D292—42no—
221C4×D292—42no—
222C4×D292C2×C418yescomplemented
223#14556553—42no—
224#14556553C2×C418yescomplemented
225#14556551—42no—
226#14556551—42no—
227#14556548—42no—
228#14556548—42no—
229#14556548—42no—
230C2×C4⋊Dic73C2311yescharacteristic
231C2×C4⋊Dic73C2311yescharacteristic
232C2×C4⋊Dic73C2311yescharacteristic
233C2×C4⋊Dic73C2311yescharacteristic
234C2×C4⋊Dic73C2311yescharacteristic
235C2×C4⋊Dic73C2311yescharacteristic
236C2×#11924007C2311yescharacteristic
237C2×#11924007C2311yescharacteristic
238C2×#11924007C2311yescharacteristic
239C2×#11924007C2311yescharacteristic
240C2×#11924007C2311yescharacteristic
241C2×#11924007C2311yescharacteristic
242C2×#11924007C2311yescharacteristic
243C2×#11924007C2311yescharacteristic
244C2×#11924007C2311yescharacteristic
245C2×#11924007C2311yescharacteristic
246C2×#11924007C2311yescharacteristic
247C2×#11924007C2311yescharacteristic
248C2×C22⋊Dic73C2311yescharacteristic
249C2×C22⋊Dic73C2311yescharacteristic
250C2×C22⋊Dic73C2311yescharacteristic
251C2×C22⋊Dic73C2311yescharacteristic
252C2×#11924005—42no—
253C2×#11924005C2311yescharacteristic
254C2×#11924005C2311yescharacteristic
255C2×#11924005C2311yescharacteristic
256C2×#11924005C2311yescharacteristic
257C2×#11924005C2311yescharacteristic
258C2×#11924005C2311yescharacteristic
259C2×#11924005C2311yescharacteristic
260C2×#11924005C2311yescharacteristic
261C2×#11924005C2311yescharacteristic
262C2×#11924005C2311yescharacteristic
263C2×#11924005C2311yescharacteristic
264C2×#11924005C2311yescharacteristic
265C2×#11924005C2311yescharacteristic
266C2×#11924005C2311yescharacteristic
267C2×#11924005C2311yescharacteristic
268C2×#11924005C2311yescharacteristic
269C2×#11924005C2311yescharacteristic
270C2×#11924005C2311yescharacteristic
271C2×#11924005C2311yescharacteristic
272C2×#11924005C2311yescharacteristic
273C2×#11924005C2311yescharacteristic
274C2×#11924005C2311yescharacteristic
275C2×#11924005C2311yescharacteristic
276C2×#11924005C2311yescharacteristic
277C2×#11924005C2311yescharacteristic
278C2×#11924005C2311yescharacteristic
279C2×#11924005C2311yescharacteristic
280C2×#11924005C2311yescharacteristic
281C2×#11924005C2311yescharacteristic
282C2×#11924005C2311yescharacteristic
283C2×#11924005C2311yescharacteristic
284C2×#11924005C2311yescharacteristic
285C2×#11924005C2311yescharacteristic
286C2×#11924005C2311yescharacteristic
287C2×#11924005C2311yescharacteristic
288C2×#11924005C2311yescharacteristic
289C22⋊C4×D73—42no—
290C22⋊C4×D73C2×C418yescomplemented
291C2×C4×Dic73C2311yescharacteristic
292C2×C4×Dic73C2311yescharacteristic
293C2×C4×Dic73C2311yescharacteristic
294C2×C4×Dic73C2311yescharacteristic
295C2×C4×Dic73C2311yescharacteristic
296C2×C4×Dic73C2311yescharacteristic
297C2×C4×Dic73C2311yescharacteristic
298C2×C4×Dic73C2311yescharacteristic
299C2×C4×Dic73C2311yescharacteristic
300C2×C4×Dic73C2311yescharacteristic
301C2×C4×Dic73C2311yescharacteristic
302C2×C4×Dic73C2311yescharacteristic
303C2×C4×Dic73C2311yescharacteristic
304C2×C4×Dic73C2311yescharacteristic
305C42×D73—42no—
306#14556498C2311yescharacteristic
307#14556498C2311yescharacteristic
308#14556498C2311yescharacteristic
309#14556498C2311yescharacteristic
310#14556498C2311yescharacteristic
311#14556498C2311yescharacteristic
312#14556498C2311yescharacteristic
313#14556498C2311yescharacteristic
314#14556498C2311yescharacteristic
315#14556498C2311yescharacteristic
316#14556498C2311yescharacteristic
317#14556498C2311yescharacteristic
318#14556498C2311yescharacteristic
319#14556498C2311yescharacteristic
320#14556498C2311yescharacteristic
321#14556498C2311yescharacteristic
322#14556498C2311yescharacteristic
323#14556498C2311yescharacteristic
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334C23×C4×C73C2311yescharacteristic
335#126×C73C2×C418yescomplemented
336C2×C4⋊C4×C73C2311yescharacteristic
337C2×C4⋊C4×C73C2311yescharacteristic
338C2×C4⋊C4×C73C2311yescharacteristic
339C2×C4⋊C4×C73C2311yescharacteristic
340C2×C4⋊C4×C73C2311yescharacteristic
341C2×C4⋊C4×C73C2311yescharacteristic
342C2×C4⋊C4×C73C2311yescharacteristic
343C2×C4⋊C4×C73C2311yescharacteristic
344C2×C22⋊C4×C73C2311yescharacteristic
345C2×C22⋊C4×C73C2311yescharacteristic
346C2×C22⋊C4×C73C2311yescharacteristic
347C2×C22⋊C4×C73C2311yescharacteristic
348C2×C22⋊C4×C73C2311yescharacteristic
349C2×C22⋊C4×C73C2311yescharacteristic
350C2×C42×C73C2311yescharacteristic
351C2×C42×C73C2311yescharacteristic
352C2×C42×C73C2311yescharacteristic
353C2×C42×C73C2311yescharacteristic
354C2×C42×C73C2311yescharacteristic
355C2×C42×C73C2311yescharacteristic
356C2×C42×C73C2311yescharacteristic
357C2×C42×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369#95×C73C2311yescharacteristic
370C23×D73—41no—
371C23×D73—41no—
372C23×D73—41no—
373C23×D73—41no—
374C23×D73—41no—
375C23×D73—41no—
376C23×D73C22×C414yes—
377C23×D73C2411yescharacteristic
378C23×D73C2411yescharacteristic
379C23×D73C2411yescharacteristic
380C23×D73C2411yescharacteristic
381C2×Dic146—41no—
382C2×Dic146—41no—
383C2×Dic146C22×C414yes—
384C2×D292—41no—
385C2×D292—41no—
386C2×D292—41no—
387C2×D292—41no—
388C2×D292—41no—
389C2×D292—41no—
390C2×D292—41no—
391C2×D292—41no—
392C2×D292—41no—
393C2×D292—41no—
394C2×D292C22×C414yes—
395C2×D292C22×C414yes—
396C2×D292C22×C414yes—
397C2×D292C22×C414yes—
398C2×D292C22×C414yes—
399C2×C22⋊D73—41no—
400C2×C22⋊D73—41no—
401C2×C22⋊D73—41no—
402C2×C22⋊D73—41no—
403C2×C22⋊D73C22×C414yes—
404C2×C22⋊D73C22×C414yes—
405C22×Dic73—22no—
406C22×Dic73—41no—
407C22×Dic73—41no—
408C22×Dic73C2411yescharacteristic
409C22×Dic73C2411yescharacteristic
410C22×Dic73C2411yescharacteristic
411C22×Dic73C2411yescharacteristic
412C22×Dic73C2411yescharacteristic
413C22×Dic73C2411yescharacteristic
414C22×Dic73C2411yescharacteristic
415C22×Dic73C2411yescharacteristic
416C22×Dic73C2411yescharacteristic
417C22×Dic73C2411yescharacteristic
418C22×Dic73C2411yescharacteristic
419C22×Dic73C2411yescharacteristic
420C2×C4×D73—22no—
421C2×C4×D73—22no—
422C2×C4×D73—22no—
423C2×C4×D73—22no—
424C2×C4×D73—41no—
425C2×C4×D73—41no—
426C2×C4×D73—41no—
427C2×C4×D73—41no—
428C2×C4×D73—41no—
429C2×C4×D73—41no—
430C2×C4×D73—41no—
431C2×C4×D73—41no—
432C2×C4×D73—41no—
433C2×C4×D73—41no—
434C2×C4×D73—41no—
435C2×C4×D73—41no—
436C2×C4×D73—41no—
437C2×C4×D73—41no—
438C2×C4×D73—41no—
439C2×C4×D73—41no—
440C2×C4×D73—41no—
441C2×C4×D73—41no—
442C2×C4×D73—41no—
443C2×C4×D73—41no—
444C2×C4×D73—41no—
445C2×C4×D73—41no—
446C2×C4×D73C22×C414yes—
447C2×C4×D73C22×C414yes—
448C2×C4×D73C22×C414yes—
449C2×C4×D73C22×C414yes—
450C4⋊Dic73—22no—
451C4⋊Dic73—41no—
452C4⋊Dic73—41no—
453C4⋊Dic73—41no—
454C4⋊Dic73—41no—
455C4⋊Dic73C22×C414yes—
456#11924007—22no—
457#11924007—22no—
458#11924007—41no—
459#11924007—41no—
460#11924007—41no—
461#11924007—41no—
462#11924007—41no—
463#11924007—41no—
464#11924007—41no—
465#11924007—41no—
466#11924007C22×C414yes—
467#11924007C22×C414yes—
468C22⋊Dic73—41no—
469C22⋊Dic73—41no—
470C22⋊Dic73—41no—
471C22⋊Dic73C22×C414yes—
472#11924005—22no—
473#11924005—22no—
474#11924005—22no—
475#11924005—22no—
476#11924005—41no—
477#11924005—41no—
478#11924005—41no—
479#11924005—41no—
480#11924005—41no—
481#11924005—41no—
482#11924005—41no—
483#11924005—41no—
484#11924005—41no—
485#11924005—41no—
486#11924005—41no—
487#11924005—41no—
488#11924005—41no—
489#11924005—41no—
490#11924005—41no—
491#11924005—41no—
492#11924005—41no—
493#11924005—41no—
494#11924005—41no—
495#11924005—41no—
496#11924005—41no—
497#11924005—41no—
498#11924005C22×C414yes—
499#11924005C22×C414yes—
500#11924005C22×C414yes—
501#11924005C22×C414yes—
502#11924005C22×C414yes—
503#11924005C22×C414yes—
504#11924005C22×C414yes—
505#11924005C22×C414yes—
506#11924005C22×C414yes—
507#11924005C22×C414yes—
508C4×Dic73—22no—
509C4×Dic73—22no—
510C4×Dic73—22no—
511C4×Dic73—41no—
512C4×Dic73—41no—
513C4×Dic73—41no—
514C4×Dic73—41no—
515C4×Dic73—41no—
516C4×Dic73—41no—
517C4×Dic73—41no—
518C4×Dic73—41no—
519C4×Dic73—41no—
520C4×Dic73—41no—
521C4×Dic73C22×C414yes—
522C24×C73C2411yescharacteristic
523C22×C4×C73—41no—
524C22×C4×C73—41no—
525C22×C4×C73—41no—
526C22×C4×C73C2411yescharacteristic
527C22×C4×C73C2411yescharacteristic
528C22×C4×C73C2411yescharacteristic
529C22×C4×C73C2411yescharacteristic
530C22×C4×C73C2411yescharacteristic
531C22×C4×C73C2411yescharacteristic
532C22×C4×C73C2411yescharacteristic
533C22×C4×C73C2411yescharacteristic
534C22×C4×C73C2411yescharacteristic
535C22×C4×C73C2411yescharacteristic
536C22×C4×C73C2411yescharacteristic
537C22×C4×C73C2411yescharacteristic
538C22×C4×C73C2411yescharacteristic
539C22×C4×C73C2411yescharacteristic
540C4⋊C4×C73—41no—
541C4⋊C4×C73—41no—
542C4⋊C4×C73—41no—
543C4⋊C4×C73—41no—
544C4⋊C4×C73—41no—
545C4⋊C4×C73C22×C414yes—
546C4⋊C4×C73C22×C414yes—
547C4⋊C4×C73C22×C414yes—
548C22⋊C4×C73—22no—
549C22⋊C4×C73—41no—
550C22⋊C4×C73—41no—
551C22⋊C4×C73C22×C414yes—
552C22⋊C4×C73C22×C414yes—
553C22⋊C4×C73C22×C414yes—
554C42×C73—22no—
555C42×C73—22no—
556C42×C73—41no—
557C42×C73—41no—
558C42×C73—41no—
559C42×C73—41no—
560C42×C73—41no—
561C42×C73C22×C414yes—
562C23×C73—21no—
563C23×C73—21no—
564C23×C73—21no—
565C23×C73—21no—
566C23×C73—21no—
567C23×C73—21no—
568C23×C73C23×C412yes—
569C23×C73C2511yescharacteristic
570C22×D73—21no—
571C22×D73—21no—
572C22×D73—21no—
573C22×D73—21no—
574C22×D73—21no—
575C22×D73—21no—
576C22×D73—21no—
577C22×D73—21no—
578C22×D73—21no—
579C22×D73—21no—
580C22×D73—21no—
581C22×D73—21no—
582C22×D73—21no—
583C22×D73—21no—
584C22×D73—21no—
585C22×D73—21no—
586C22×D73—21no—
587C22×D73—21no—
588C22×D73—21no—
589C22×D73—21no—
590C22×D73—21no—
591C22×D73—21no—
592C22×D73—21no—
593C22×D73—21no—
594C22×D73—44no—
595C22×D73—44no—
596C22×D73—44no—
597C22×D73—82no—
598C22×D73—82no—
599C22×D73—82no—
600C22×D73—82no—
601C22×D73C23×C412yes—
602C22×D73C23×C412yes—
603C22×D73C23×C412yes—
604C22×D73C23×C412yes—
605C2×C4×C73—21no—
606C2×C4×C73—21no—
607C2×C4×C73—21no—
608C2×C4×C73—21no—
609C2×C4×C73—21no—
610C2×C4×C73—21no—
611C2×C4×C73—21no—
612C2×C4×C73—21no—
613C2×C4×C73—21no—
614C2×C4×C73—21no—
615C2×C4×C73—21no—
616C2×C4×C73—21no—
617C2×C4×C73—21no—
618C2×C4×C73—21no—
619C2×C4×C73—21no—
620C2×C4×C73—21no—
621C2×C4×C73—21no—
622C2×C4×C73—21no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—82no—
641C2×C4×C73C23×C412yes—
642C2×C4×C73C23×C412yes—
643C2×C4×C73C23×C412yes—
644C2×C4×C73C23×C412yes—
645C2×C4×C73C23×C412yes—
646C2×C4×C73C23×C412yes—
647C2×C4×C73H(5,𝔽2)12yes—
648C22⋊D73—44no—
649C22⋊D73—44no—
650C2×Dic73—21no—
651C2×Dic73—21no—
652C2×Dic73—21no—
653C2×Dic73—21no—
654C2×Dic73—21no—
655C2×Dic73—21no—
656C2×Dic73—21no—
657C2×Dic73—21no—
658C2×Dic73—21no—
659C2×Dic73—21no—
660C2×Dic73—21no—
661C2×Dic73—21no—
662C2×Dic73—21no—
663C2×Dic73—21no—
664C2×Dic73—21no—
665C2×Dic73—21no—
666C2×Dic73—21no—
667C2×Dic73—21no—
668C2×Dic73—21no—
669C2×Dic73—21no—
670C2×Dic73—21no—
671C2×Dic73—21no—
672C2×Dic73—21no—
673C2×Dic73—21no—
674C2×Dic73—21no—
675C2×Dic73—21no—
676C2×Dic73—21no—
677C2×Dic73—21no—
678C2×Dic73—21no—
679C2×Dic73—21no—
680C2×Dic73—21no—
681C2×Dic73—82no—
682C2×Dic73C23×C412yes—
683C2×Dic73C23×C412yes—
684C2×Dic73C23×C412yes—
685C2×Dic73C23×C412yes—
686C2×Dic73H(5,𝔽2)12yes—
687D292—44no—
688D292—44no—
689D292—44no—
690D292—44no—
691D292—44no—
692C4×D73—44no—
693C4×D73—44no—
694C4×D73—44no—
695C4×D73—44no—
696C4×D73—44no—
697C4×D73—44no—
698C4×D73—82no—
699C4×D73—82no—
700C4×D73—82no—
701C4×D73—82no—
702Dic146—44no—
703C22×C73—22no—
704C22×C73—22no—
705C22×C73—22no—
706C22×C73—41no—
707C22×C73—41no—
708C22×C73—41no—
709C22×C73—41no—
710C22×C73C24×C411yescharacteristic
711C22×C73C2×H(5,𝔽2)11yescharacteristic
712C22×C73C2×H(5,𝔽2)11yescharacteristic
713C22×C73#58511yescharacteristic
714C22×C73#58511yescharacteristic
715C22×C73#58511yescharacteristic
716C22×C73#58511yescharacteristic
717C2×D73—22no—
718C2×D73—22no—
719C2×D73—22no—
720C2×D73—22no—
721C2×D73—22no—
722C2×D73—22no—
723C2×D73—22no—
724C2×D73—22no—
725C2×D73—22no—
726C2×D73—22no—
727C2×D73—22no—
728C2×D73—22no—
729C2×D73—41no—
730C2×D73—41no—
731C2×D73—41no—
732C2×D73—41no—
733C2×D73—41no—
734C2×D73—41no—
735C2×D73—41no—
736C2×D73—41no—
737C2×D73—41no—
738C2×D73—41no—
739C2×D73—41no—
740C2×D73—41no—
741C2×D73—41no—
742C2×D73—41no—
743C2×D73—41no—
744C2×D73—41no—
745C2×D73—88no—
746C4×C73—22no—
747C4×C73—22no—
748C4×C73—22no—
749C4×C73—22no—
750C4×C73—22no—
751C4×C73—22no—
752C4×C73—22no—
753C4×C73—41no—
754C4×C73—41no—
755C4×C73—41no—
756C4×C73—41no—
757C4×C73—41no—
758C4×C73—41no—
759C4×C73—41no—
760Dic73—22no—
761Dic73—22no—
762Dic73—22no—
763Dic73—22no—
764Dic73—22no—
765Dic73—41no—
766Dic73—41no—
767Dic73—41no—
768Dic73—41no—
769Dic73—41no—
770Dic73—41no—
771Dic73—41no—
772#34451—731nomaximal, Sylow
773C2×C73—42no—
774C2×C73#342811yescharacteristic
775C2×C73C4×H(5,𝔽2)11yescharacteristic
776C2×C73C4×H(5,𝔽2)11yescharacteristic
777C2×C73#353311yescharacteristic
778C2×C73#354211yescharacteristic
779C2×C73#355111yescharacteristic
780C2×C73#356811yescharacteristic
781D73—42no—
782D73—42no—
783D73—42no—
784D73—42no—
785C2×#538—731no—
786#2383—731no—
787#2378—731no—
788#2376—731no—
789#2375—731no—
790#2373—731no—
791#2373—731no—
792#2373D7311yescharacteristic, complemented
793#2372—731no—
794#2367—731no—
795#2362—731no—
796#2359—731no—
797#2358—731no—
798#2354—731no—
799#2353—731no—
800#2342—731no—
801#2342—731no—
802#2337—731no—
803#2335—731no—
804#2333—731no—
805#2333—731no—
806#2326—731no—
807#2325—731no—
808#2324—731no—
809#2324—731no—
810#2321—731no—
811#2321—731no—
812#2319—731no—
813C4×#123—731no—
814C4×#121—731no—
815#2290—731no—
816C73#3445111yescharacteristic, complemented, Sylow
817#538—7316no—
818C2×#126—731no—
819C2×#126C2×D7311yescharacteristic
820C2×#124—731no—
821C2×#124—731no—
822C2×#123—731no—
823C2×#123—731no—
824C2×C22⋊Q8—731no—
825C2×#121—731no—
826C2×#121—731no—
827C2×#121—731no—
828C2×#120—731no—
829C2×#120—731no—
830C2×C4×Q8—731no—
831C2×C4×D4—731no—
832C2×C4×D4—731no—
833C2×C4×D4—731no—
834C2×C4×D4—731no—
835C2×C4×D4—731no—
836C2×C4×D4—731no—
837C2×C4×D4—731no—
838C2×#117—731no—
839C2×#117—731no—
840C2×#117—731no—
841C22×C22⋊C4—731no—
842C22×C22⋊C4—731no—
843C22×C22⋊C4—731no—
844C22×C42—731no—
845#391—731no—
846#391—731no—
847#391—731no—
848#390—731no—
849#390—731no—
850#390—731no—
851#390—731no—
852#390—731no—
853#390—731no—
854#390—731no—
855#390—731no—
856#390—731no—
857#389—731no—
858#389—731no—
859#389—731no—
860#389—731no—
861#389—731no—
862#389C2×D7311yescharacteristic, complemented
863#388—731no—
864#388—731no—
865#388—731no—
866#388—731no—
867#388—731no—
868#388—731no—
869#388—731no—
870#388—731no—
871#388—731no—
872#388—731no—
873#388—731no—
874#388—731no—
875#388—731no—
876#388—731no—
877#388—731no—
878#388—731no—
879#388—731no—
880#388—731no—
881#388—731no—
882#388—731no—
883#388—731no—
884#388—731no—
885#388—731no—
886#388—731no—
887#388—731no—
888#388—731no—
889#388—731no—
890#388—731no—
891#388—731no—
892#388C2×D7311yescharacteristic
893#388C2×D7311yescharacteristic
894#388C2×D7311yescharacteristic
895#387—731no—
896#387—731no—
897#387—731no—
898#387—731no—
899#387—731no—
900#387—731no—
901#387—731no—
902#387—731no—
903#387—731no—
904#387C2×D7311yescharacteristic, complemented
905#387C2×D7311yescharacteristic, complemented
906#387C2×D7311yescharacteristic, complemented
907#386—731no—
908#386—731no—
909#386—731no—
910#386—731no—
911#386—731no—
912#386—731no—
913#386—731no—
914#386—731no—
915#386—731no—
916#386—731no—
917#386—731no—
918#386—731no—
919#386—731no—
920#386—731no—
921#385—731no—
922#385—731no—
923#385—731no—
924#385—731no—
925#385—731no—
926#385—731no—
927#385—731no—
928#385—731no—
929#385—731no—
930#385—731no—
931#385—731no—
932#385C2×D7311yescharacteristic
933#384—731no—
934#383—731no—
935#381—731no—
936#381—731no—
937#381—731no—
938#380—731no—
939#380—731no—
940#380—731no—
941#380—731no—
942#380—731no—
943#379—731no—
944#379—731no—
945C4×C4⋊C4—731no—
946C4×C4⋊C4—731no—
947C4×C4⋊C4—731no—
948C4×C4⋊C4—731no—
949C4×C4⋊C4—731no—
950C4×C4⋊C4—731no—
951C4×C4⋊C4C2×D7311yescharacteristic, complemented
952C4×C4⋊C4C2×D7311yescharacteristic, complemented
953C4×C4⋊C4C2×D7311yescharacteristic, complemented
954C4×C22⋊C4—731no—
955C4×C22⋊C4—731no—
956C4×C22⋊C4—731no—
957C4×C22⋊C4—731no—
958C4×C22⋊C4—731no—
959C4×C22⋊C4—731no—
960C4×C22⋊C4—731no—
961C4×C22⋊C4—731no—
962C4×C22⋊C4—731no—
963C4×C22⋊C4—731no—
964C4×C22⋊C4—731no—
965C4×C22⋊C4—731no—
966C4×C22⋊C4—731no—
967C4×C22⋊C4C2×D7311yescharacteristic
968C4×C22⋊C4C2×D7311yescharacteristic
969#376—731no—
970#376—731no—
971#376C2×D7311yescharacteristic, complemented
972C2×#95—731no—
973C25—731no—
974C22×Q8—731no—
975C22×D4—731no—
976C22×D4—731no—
977C22×D4—731no—
978C22×D4—731no—
979C22×D4—731no—
980C22×D4—731no—
981C22×D4—731no—
982C23×C4—731no—
983C23×C4—731no—
984C23×C4—731no—
985C23×C4—731no—
986C23×C4—731no—
987C23×C4—731no—
988C23×C4—731no—
989C23×C4—731no—
990C23×C4—731no—
991C23×C4—731no—
992C23×C4—731no—
993C23×C4C22×D7311yescharacteristic
994#126—738no—
995#126C4×D7318yescomplemented
996#124—738no—
997#124—738no—
998#123—738no—
999#123—738no—
1000C22⋊Q8—738no—
1001#121—738no—
1002#121—738no—
1003#121—738no—
1004#120—738no—
1005#120—738no—
1006C4×Q8—2922no—
1007C4×D4—2922no—
1008C4×D4—2922no—
1009C4×D4—2922no—
1010C4×D4—2922no—
1011C4×D4—2922no—
1012C4×D4—738no—
1013C4×D4—738no—
1014#117—2922no—
1015#117—2922no—
1016#117—2922no—
1017C2×C4⋊C4—731no—
1018C2×C4⋊C4—731no—
1019C2×C4⋊C4—731no—
1020C2×C4⋊C4—731no—
1021C2×C4⋊C4—731no—
1022C2×C4⋊C4—731no—
1023C2×C4⋊C4—731no—
1024C2×C4⋊C4—731no—
1025C2×C4⋊C4—731no—
1026C2×C4⋊C4—731no—
1027C2×C4⋊C4—731no—
1028C2×C4⋊C4—731no—
1029C2×C4⋊C4—731no—
1030C2×C4⋊C4—731no—
1031C2×C4⋊C4—731no—
1032C2×C4⋊C4—731no—
1033C2×C4⋊C4—731no—
1034C2×C4⋊C4—731no—
1035C2×C4⋊C4C22×D7311yescharacteristic
1036C2×C4⋊C4C22×D7311yescharacteristic
1037C2×C4⋊C4C22×D7311yescharacteristic
1038C2×C4⋊C4C22×D7311yescharacteristic
1039C2×C4⋊C4C22×D7311yescharacteristic
1040C2×C4⋊C4C22×D7311yescharacteristic
1041C2×C4⋊C4C22×D7311yescharacteristic
1042C2×C4⋊C4C22×D7311yescharacteristic
1043C2×C22⋊C4—2922no—
1044C2×C22⋊C4—2922no—
1045C2×C22⋊C4—731no—
1046C2×C22⋊C4—731no—
1047C2×C22⋊C4—731no—
1048C2×C22⋊C4—731no—
1049C2×C22⋊C4—731no—
1050C2×C22⋊C4—731no—
1051C2×C22⋊C4—731no—
1052C2×C22⋊C4—731no—
1053C2×C22⋊C4—731no—
1054C2×C22⋊C4—731no—
1055C2×C22⋊C4—731no—
1056C2×C22⋊C4—731no—
1057C2×C22⋊C4—731no—
1058C2×C22⋊C4—731no—
1059C2×C22⋊C4—731no—
1060C2×C22⋊C4—731no—
1061C2×C22⋊C4—731no—
1062C2×C22⋊C4—731no—
1063C2×C22⋊C4—731no—
1064C2×C22⋊C4—731no—
1065C2×C22⋊C4—731no—
1066C2×C22⋊C4—731no—
1067C2×C22⋊C4—731no—
1068C2×C22⋊C4—731no—
1069C2×C22⋊C4—731no—
1070C2×C22⋊C4—731no—
1071C2×C22⋊C4—731no—
1072C2×C22⋊C4—731no—
1073C2×C22⋊C4—731no—
1074C2×C22⋊C4—731no—
1075C2×C22⋊C4—731no—
1076C2×C22⋊C4—731no—
1077C2×C22⋊C4—731no—
1078C2×C22⋊C4—731no—
1079C2×C22⋊C4—731no—
1080C2×C22⋊C4—731no—
1081C2×C22⋊C4—738no—
1082C2×C22⋊C4—731no—
1083C2×C22⋊C4—731no—
1084C2×C22⋊C4—731no—
1085C2×C22⋊C4—731no—
1086C2×C22⋊C4C22×D7311yescharacteristic
1087C2×C22⋊C4C22×D7311yescharacteristic
1088C2×C22⋊C4C22×D7311yescharacteristic
1089C2×C22⋊C4C22×D7311yescharacteristic
1090C2×C22⋊C4C22×D7311yescharacteristic
1091C2×C22⋊C4C22×D7311yescharacteristic
1092C2×C42—2922no—
1093C2×C42—731no—
1094C2×C42—731no—
1095C2×C42—731no—
1096C2×C42—731no—
1097C2×C42—731no—
1098C2×C42—731no—
1099C2×C42—731no—
1100C2×C42—731no—
1101C2×C42—731no—
1102C2×C42—731no—
1103C2×C42—731no—
1104C2×C42—731no—
1105C2×C42—731no—
1106C2×C42—731no—
1107C2×C42C22×D7311yescharacteristic
1108C2×C42C22×D7311yescharacteristic
1109C2×C42C22×D7311yescharacteristic
1110C2×C42C22×D7311yescharacteristic
1111C2×C42C22×D7311yescharacteristic
1112C2×C42C22×D7311yescharacteristic
1113C2×C42C22×D7311yescharacteristic
1114C2×C42C22×D7311yescharacteristic
1115#95—731no—
1116#95—731no—
1117#95—731no—
1118#95—731no—
1119#95—731no—
1120#95—731no—
1121#95—731no—
1122#95—731no—
1123#95—731no—
1124#95—731no—
1125#95—731no—
1126#95—731no—
1127#95—731no—
1128#95—731no—
1129#95—731no—
1130#95—731no—
1131#95—731no—
1132#95—731no—
1133#95—731no—
1134#95—731no—
1135#95—731no—
1136#95—731no—
1137#95—731no—
1138#95—731no—
1139#95—731no—
1140#95—731no—
1141#95—731no—
1142#95—731no—
1143#95C22×D7311yescharacteristic
1144#95C22×D7311yescharacteristic
1145#95C22×D7311yescharacteristic
1146#95C22×D7311yescharacteristic
1147#95C22×D7311yescharacteristic
1148#95C22×D7311yescharacteristic
1149#95C22×D7311yescharacteristic
1150#95C22×D7311yescharacteristic
1151#95C22×D7311yescharacteristic
1152#95C22×D7311yescharacteristic
1153#95C22×D7311yescharacteristic
1154#95C22×D7311yescharacteristic
1155C24—2921no—
1156C24—2921no—
1157C24—2921no—
1158C24—2921no—
1159C24—2921no—
1160C24—2921no—
1161C24—734no—
1162C24—731no—
1163C24—731no—
1164C24—731no—
1165C24—731no—
1166C24C23×D7311yescharacteristic
1167C2×Q8—2921no—
1168C2×Q8—2921no—
1169C2×Q8—734no—
1170C2×D4—2921no—
1171C2×D4—2921no—
1172C2×D4—2921no—
1173C2×D4—2921no—
1174C2×D4—2921no—
1175C2×D4—2921no—
1176C2×D4—2921no—
1177C2×D4—2921no—
1178C2×D4—2921no—
1179C2×D4—2921no—
1180C2×D4—2921no—
1181C2×D4—2921no—
1182C2×D4—2921no—
1183C2×D4—2921no—
1184C2×D4—734no—
1185C2×D4—734no—
1186C2×D4—734no—
1187C2×D4—734no—
1188C2×D4—734no—
1189C2×D4—734no—
1190C2×D4—734no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—2921no—
1195C22×C4—2921no—
1196C22×C4—2921no—
1197C22×C4—2921no—
1198C22×C4—2921no—
1199C22×C4—2921no—
1200C22×C4—2921no—
1201C22×C4—2921no—
1202C22×C4—2921no—
1203C22×C4—2921no—
1204C22×C4—2921no—
1205C22×C4—2921no—
1206C22×C4—2921no—
1207C22×C4—2921no—
1208C22×C4—2921no—
1209C22×C4—2921no—
1210C22×C4—2921no—
1211C22×C4—2921no—
1212C22×C4—2921no—
1213C22×C4—2921no—
1214C22×C4—2921no—
1215C22×C4—2921no—
1216C22×C4—2921no—
1217C22×C4—2921no—
1218C22×C4—734no—
1219C22×C4—734no—
1220C22×C4—734no—
1221C22×C4—734no—
1222C22×C4—731no—
1223C22×C4—731no—
1224C22×C4—731no—
1225C22×C4—731no—
1226C22×C4—731no—
1227C22×C4—731no—
1228C22×C4—731no—
1229C22×C4—731no—
1230C22×C4—731no—
1231C22×C4—731no—
1232C22×C4—731no—
1233C22×C4—731no—
1234C22×C4—1462no—
1235C22×C4—1462no—
1236C22×C4—1462no—
1237C22×C4—1462no—
1238C22×C4—1462no—
1239C22×C4C23×D7311yescharacteristic
1240C22×C4C23×D7311yescharacteristic
1241C22×C4C23×D7311yescharacteristic
1242C22×C4C23×D7311yescharacteristic
1243C22×C4C23×D7311yescharacteristic
1244C22×C4C23×D7311yescharacteristic
1245C22×C4C23×D7311yescharacteristic
1246C22×C4C23×D7311yescharacteristic
1247C22×C4C23×D7311yescharacteristic
1248C22×C4C23×D7311yescharacteristic
1249C22×C4C23×D7311yescharacteristic
1250C22×C4C23×D7311yescharacteristic
1251C22×C4C23×D7311yescharacteristic
1252C22×C4C23×D7311yescharacteristic
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—2921no—
1259C4⋊C4—2921no—
1260C4⋊C4—2921no—
1261C4⋊C4—2921no—
1262C4⋊C4—2921no—
1263C4⋊C4—2921no—
1264C4⋊C4—2921no—
1265C4⋊C4—2921no—
1266C4⋊C4—2921no—
1267C4⋊C4—2921no—
1268C4⋊C4—2921no—
1269C4⋊C4—2921no—
1270C4⋊C4—734no—
1271C4⋊C4—734no—
1272C4⋊C4—734no—
1273C4⋊C4—1462no—
1274C4⋊C4—1462no—
1275C4⋊C4—1462no—
1276C4⋊C4C2×C4×D7314yes—
1277C4⋊C4C2×C4×D7314yes—
1278C4⋊C4C2×C4×D7314yes—
1279C22⋊C4—22no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—2921no—
1283C22⋊C4—2921no—
1284C22⋊C4—2921no—
1285C22⋊C4—2921no—
1286C22⋊C4—2921no—
1287C22⋊C4—2921no—
1288C22⋊C4—2921no—
1289C22⋊C4—2921no—
1290C22⋊C4—2921no—
1291C22⋊C4—2921no—
1292C22⋊C4—2921no—
1293C22⋊C4—2921no—
1294C22⋊C4—2921no—
1295C22⋊C4—2921no—
1296C22⋊C4—2921no—
1297C22⋊C4—2921no—
1298C22⋊C4—2921no—
1299C22⋊C4—2921no—
1300C22⋊C4—2921no—
1301C22⋊C4—2921no—
1302C22⋊C4—2921no—
1303C22⋊C4—2921no—
1304C22⋊C4—2921no—
1305C22⋊C4—2921no—
1306C22⋊C4—2921no—
1307C22⋊C4—734no—
1308C22⋊C4—734no—
1309C22⋊C4—734no—
1310C22⋊C4—734no—
1311C22⋊C4—734no—
1312C22⋊C4—734no—
1313C22⋊C4—734no—
1314C22⋊C4—734no—
1315C22⋊C4—734no—
1316C22⋊C4—734no—
1317C22⋊C4—734no—
1318C22⋊C4—1462no—
1319C22⋊C4—1462no—
1320C22⋊C4—1462no—
1321C22⋊C4—1462no—
1322C22⋊C4C2×C4×D7314yes—
1323C22⋊C4C2×C4×D7314yes—
1324C22⋊C4C2×C4×D7314yes—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—2921no—
1333C42—2921no—
1334C42—2921no—
1335C42—2921no—
1336C42—2921no—
1337C42—2921no—
1338C42—2921no—
1339C42—2921no—
1340C42—2921no—
1341C42—2921no—
1342C42—734no—
1343C42—1462no—
1344C42—1462no—
1345C42—1462no—
1346C42C2×C4×D7314yes—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—2924no—
1354C23—2924no—
1355C23—2924no—
1356C23—5842no—
1357C23—5842no—
1358C23—5842no—
1359C23—5842no—
1360C23—732no—
1361C23—732no—
1362C23—732no—
1363C23—732no—
1364C23—1461no—
1365C23—1461no—
1366C23—1461no—
1367C23—1461no—
1368C23—1461no—
1369C23—1461no—
1370C23—1461no—
1371C23—1461no—
1372C23—1461no—
1373C23—1461no—
1374C23—1461no—
1375C23—1461no—
1376C23—1461no—
1377C23—1461no—
1378C23—1461no—
1379C23—1461no—
1380C23—1461no—
1381C23—1461no—
1382C23—1461no—
1383C23—1461no—
1384C23—1461no—
1385C23—1461no—
1386C23—1461no—
1387C23—1461no—
1388C23C22×C4×D7312yes—
1389C23C24×D7311yescharacteristic
1390Q8—2924no—
1391D4—2924no—
1392D4—2924no—
1393D4—2924no—
1394D4—2924no—
1395D4—2924no—
1396D4—2924no—
1397D4—2924no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—82no—
1434C2×C4—2924no—
1435C2×C4—2924no—
1436C2×C4—2924no—
1437C2×C4—2924no—
1438C2×C4—2924no—
1439C2×C4—2924no—
1440C2×C4—5842no—
1441C2×C4—5842no—
1442C2×C4—5842no—
1443C2×C4—5842no—
1444C2×C4—5842no—
1445C2×C4—732no—
1446C2×C4—732no—
1447C2×C4—732no—
1448C2×C4—732no—
1449C2×C4—732no—
1450C2×C4—1461no—
1451C2×C4—1461no—
1452C2×C4—1461no—
1453C2×C4—1461no—
1454C2×C4—1461no—
1455C2×C4—1461no—
1456C2×C4—1461no—
1457C2×C4—1461no—
1458C2×C4—1461no—
1459C2×C4—1461no—
1460C2×C4—1461no—
1461C2×C4—1461no—
1462C2×C4—1461no—
1463C2×C4—1461no—
1464C2×C4—1461no—
1465C2×C4—1461no—
1466C2×C4—1461no—
1467C2×C4—1461no—
1468C2×C4—1461no—
1469C2×C4—1461no—
1470C2×C4—1461no—
1471C2×C4—1461no—
1472C2×C4—1461no—
1473C2×C4—1461no—
1474C2×C4—1461no—
1475C2×C4—1461no—
1476C2×C4—1461no—
1477C2×C4—1461no—
1478C2×C4—1461no—
1479C2×C4—1461no—
1480C2×C4—1461no—
1481C2×C4C22×C4×D7312yes—
1482C2×C4C22×C4×D7312yes—
1483C2×C4C22×C4×D7312yes—
1484C2×C4C22×C4×D7312yes—
1485C2×C4C22×C4×D7312yes—
1486C2×C4C22×C4×D7312yes—
1487C2×C4#1455663712yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—2921no—
1496C22—2921no—
1497C22—2921no—
1498C22—2921no—
1499C22—2921no—
1500C22—2921no—
1501C22—2921no—
1502C22—2921no—
1503C22—2921no—
1504C22—2921no—
1505C22—2921no—
1506C22—2921no—
1507C22—2921no—
1508C22—2921no—
1509C22—2921no—
1510C22—2921no—
1511C22—5848no—
1512C22—1462no—
1513C22—1462no—
1514C22—1462no—
1515C22—1462no—
1516C22—1462no—
1517C22—1462no—
1518C22—1462no—
1519C22—1462no—
1520C22—1462no—
1521C22—1462no—
1522C22—1462no—
1523C22—1462no—
1524C22C23×C4×D7311yescharacteristic
1525C22H(5,𝔽2)×D7311yescharacteristic
1526C22C2×#1455663711yescharacteristic
1527C22#1798942311yescharacteristic
1528C22#1798942311yescharacteristic
1529C22#1798942311yescharacteristic
1530C22#1798942411yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—2921no—
1546C4—2921no—
1547C4—2921no—
1548C4—2921no—
1549C4—2921no—
1550C4—2921no—
1551C4—2921no—
1552C4—1462no—
1553C4—1462no—
1554C4—1462no—
1555C4—1462no—
1556C4—1462no—
1557C2—42no—
1558C2—2922no—
1559C2—2922no—
1560C2—2922no—
1561C2—2922no—
1562C2#2262313011yescharacteristic
1563C2#2262313711yescharacteristic
1564C2C4×#1455663711yescharacteristic
1565C2#2262409711yescharacteristic
1566C2#2262425011yescharacteristic
1567C2#2262435411yescharacteristic
1568C2#2262462611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutatorC22×C73C24×C4
FittingC73×#2373C2
socle, cosocleC23×C73C25
prime radicalC2×#17989176C2
hypercenter#2373D73
hypocenterC73#34451
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #22613122C2semidirect
3. #22613096C2semidirect
4. #22613080C2semidirect
5. #22613071C2semidirect
6. #22613057C2semidirect
7. #22613055C2semidirect
8. #22613041C2semidirect
9. #22613000C2semidirect
10. #22612959C2semidirect
11. #22612920C2semidirect
12. #22612913C2semidirect
13. #22612876C2semidirect
14. #22612870C2semidirect
15. #22612775C2semidirect
16. #22612774C2semidirect
17. #22612739C2semidirect
18. #22612727C2semidirect
19. #22612695C2semidirect
20. #22612691C2semidirect
21. #22612640C2semidirect
22. #22612630C2semidirect
23. #22612625C2semidirect
24. #22612622C2semidirect
25. #22612593C2semidirect
26. #22612588C2semidirect
27. #22612569C2semidirect
28. C4×#14556576C2semidirect
29. #22612443C2semidirect
30. #22612375C2semidirect
31. C73×#2373C2semidirect
32. #17989176C4semidirect
44. C2×C4×Dic146C22semidirect
49. C2×#14556553C22semidirect
54. C2×#14556548C22semidirect
58. C2×C42×D73C22semidirect
59. #17988493C22semidirect
60. #17988491C22semidirect
61. #17988491C22semidirect
64. #17988489C22semidirect
71. #17988486C22semidirect
72. #17988483C22semidirect
73. #17988483C22semidirect
74. #17988482C22semidirect
75. #17988482C22semidirect
83. #17988479C22semidirect
89. #17988478C22semidirect
90. #17988478C22semidirect
91. #17988478C22semidirect
95. #17988477C22semidirect
101. #17988476C22semidirect
102. #17988476C22semidirect
103. #17988476C22semidirect
105. #17988474C22semidirect
106. #17988474C22semidirect
107. #17988473C22semidirect
108. #17988473C22semidirect
109. #17988473C22semidirect
110. #17988472C22semidirect
111. #17988472C22semidirect
112. #17988471C22semidirect
113. #17988469C22semidirect
124. #17988465C22semidirect
125. #17988465C22semidirect
131. #17988461C22semidirect
132. #17988461C22semidirect
137. #17988458C22semidirect
138. #17988458C22semidirect
139. #17988456C22semidirect
140. #17988454C22semidirect
143. #17988449C22semidirect
145. #17988446C22semidirect
146. #17988446C22semidirect
148. #17988444C22semidirect
151. C4⋊C4×Dic73C22semidirect
152. C4⋊C4×Dic73C22semidirect
153. C4×#11924007C22semidirect
154. C4×#11924007C22semidirect
155. C4×C4⋊Dic73C22semidirect
156. #17988438C22semidirect
162. C4×#11924005C22semidirect
163. C4×#11924005C22semidirect
164. C4×#11924005C22semidirect
168. #17988434C22semidirect
169. #17988434C22semidirect
170. #17988433C22semidirect
171. #17988432C22semidirect
172. #95×D73C22semidirect
174. #389×C73C22semidirect
178. #387×C73C22semidirect
179. #387×C73C22semidirect
180. #387×C73C22semidirect
182. C4×C4⋊C4×C73C22semidirect
183. C4×C4⋊C4×C73C22semidirect
184. C4×C4⋊C4×C73C22semidirect
187. #376×C73C22semidirect
208. #14556586C2×C4semidirect
209. #14556579C2×C4semidirect
210. #14556577C2×C4semidirect
211. #14556576C2×C4semidirect
212. #14556573C2×C4semidirect
213. #14556569C2×C4semidirect
214. #14556566C2×C4semidirect
215. #14556566C2×C4semidirect
216. #14556564C2×C4semidirect
217. #14556561C2×C4semidirect
218. #14556561C2×C4semidirect
222. C4×D292C2×C4semidirect
224. #14556553C2×C4semidirect
290. C22⋊C4×D73C2×C4semidirect
335. #126×C73C2×C4semidirect
792. #2373D73semidirect
816. C73#34451semidirect
862. #389C2×D73semidirect
904. #387C2×D73semidirect
905. #387C2×D73semidirect
906. #387C2×D73semidirect
951. C4×C4⋊C4C2×D73semidirect
952. C4×C4⋊C4C2×D73semidirect
953. C4×C4⋊C4C2×D73semidirect
971. #376C2×D73semidirect
995. #126C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891762
#226131222
#226130962
#226130802
#226130712
#226130572
#226130552
#226130412
#226130002
#226129592
#226129202
#226129132
#226128762
#226128702
#226127752
#226127742
#226127392
#226127272
#226126952
#226126912
#226126402
#226126302
#226126252
#226126222
#226125932
#226125882
#226125692
C4×#145565762
#226124432
#226123752
C73×#23732
#3445173