Finite Group Databasebeta

← #33249527

Subgroups — #33249527

Order 18688.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989176C211yesmaximal, characteristic
2#22613123C211yesmaximal, characteristic, complemented
3#22613100C211yesmaximal, characteristic, complemented
4#22613084C211yesmaximal, characteristic, complemented
5#22613073C211yesmaximal, characteristic, complemented
6#22613015C211yesmaximal, characteristic, complemented
7#22613003C211yesmaximal, characteristic, complemented
8#22612977C211yesmaximal, characteristic, complemented
9#22612950C211yesmaximal, characteristic, complemented
10#22612949C211yesmaximal, characteristic, complemented
11#22612939C211yesmaximal, characteristic, complemented
12#22612924C211yesmaximal, characteristic, complemented
13#22612872C211yesmaximal, characteristic, complemented
14#22612855C211yesmaximal, characteristic, complemented
15#22612840C211yesmaximal, characteristic, complemented
16C4⋊C4×D292C211yesmaximal, characteristic, complemented
17#22612744C211yesmaximal, characteristic, complemented
18#22612724C211yesmaximal, characteristic, complemented
19#22612709C211yesmaximal, characteristic, complemented
20#22612700C211yesmaximal, characteristic, complemented
21#22612642C211yesmaximal, characteristic, complemented
22#22612630C211yesmaximal, characteristic, complemented
23#22612625C211yesmaximal, characteristic, complemented
24#22612604C211yesmaximal, characteristic, complemented
25#22612593C211yesmaximal, characteristic, complemented
26#22612584C211yesmaximal, characteristic, complemented
27#22612525C211yesmaximal, characteristic, complemented
28C4×#14556561C211yesmaximal, characteristic, complemented
29C4×#14556561C211yesmaximal, characteristic, complemented
30#385×D73C211yesmaximal, characteristic, complemented
31C73×#2373C211yesmaximal, characteristic, complemented
32C23×C4×D73C2211yescharacteristic
33#17989176C4116yescomplemented
34C2×#14556586C2211yescharacteristic
35C2×#14556579C2211yescharacteristic
36C2×#14556577C2211yescharacteristic
37C2×#14556576C2211yescharacteristic
38C2×#14556573C2211yescharacteristic
39C2×#14556569C2211yescharacteristic
40C2×#14556566C2211yescharacteristic
41C2×#14556566C2211yescharacteristic
42C2×#14556564C2211yescharacteristic
43C2×#14556561C2211yescharacteristic
44C2×#14556561C2211yescharacteristic
45C2×C4×Dic146C2211yescharacteristic, complemented
46C2×C4×D292C2211yescharacteristic
47C2×C4×D292C2211yescharacteristic
48C2×C4×D292C2211yescharacteristic
49C2×C4×D292C2211yescharacteristic
50C2×C4×D292C2211yescharacteristic
51C2×C4×D292C2211yescharacteristic
52C2×#14556553C2211yescharacteristic
53C2×#14556553C2211yescharacteristic
54C2×#14556553C2211yescharacteristic, complemented
55C2×C4×C22⋊D73C2211yescharacteristic
56C2×C4×C22⋊D73C2211yescharacteristic
57C2×#14556548C2211yescharacteristic, complemented
58C2×C4⋊C4×D73C2211yescharacteristic
59C2×C4⋊C4×D73C2211yescharacteristic
60C2×C4⋊C4×D73C2211yescharacteristic, complemented
61C2×C22⋊C4×D73C2211yescharacteristic
62C2×C22⋊C4×D73C2211yescharacteristic
63#17988493C2211yescharacteristic, complemented
64#17988491C2211yescharacteristic, complemented
65#17988491C2211yescharacteristic, complemented
66#17988489C2211yescharacteristic
67#17988489C2211yescharacteristic, complemented
68#17988488C2211yescharacteristic
69#17988487C2211yescharacteristic
70#17988487C2211yescharacteristic
71#17988486C2211yescharacteristic, complemented
72#17988486C2211yescharacteristic, complemented
73#17988486C2211yescharacteristic, complemented
74#17988485C2211yescharacteristic, complemented
75#17988485C2211yescharacteristic, complemented
76#17988484C2211yescharacteristic, complemented
77#17988482C2211yescharacteristic, complemented
78#17988481C2211yescharacteristic
79#17988480C2211yescharacteristic
80#17988480C2211yescharacteristic
81#17988480C2211yescharacteristic
82#17988479C2211yescharacteristic
83#17988479C2211yescharacteristic
84#17988479C2211yescharacteristic, complemented
85#17988479C2211yescharacteristic, complemented
86#17988478C2211yescharacteristic
87#17988478C2211yescharacteristic
88#17988478C2211yescharacteristic, complemented
89#17988478C2211yescharacteristic, complemented
90#17988478C2211yescharacteristic, complemented
91#17988478C2211yescharacteristic, complemented
92#17988477C2211yescharacteristic
93#17988477C2211yescharacteristic
94#17988477C2211yescharacteristic, complemented
95#17988477C2211yescharacteristic, complemented
96#17988476C2211yescharacteristic
97#17988476C2211yescharacteristic
98#17988475C2211yescharacteristic
99#17988474C2211yescharacteristic, complemented
100#17988473C2211yescharacteristic, complemented
101#17988473C2211yescharacteristic, complemented
102#17988473C2211yescharacteristic, complemented
103#17988471C2211yescharacteristic, complemented
104#17988471C2211yescharacteristic, complemented
105#17988470C2211yescharacteristic, complemented
106#17988470C2211yescharacteristic, complemented
107#17988468C2211yescharacteristic, complemented
108#17988465C2211yescharacteristic
109#17988465C2211yescharacteristic
110#17988465C2211yescharacteristic
111#17988465C2211yescharacteristic
112#17988465C2211yescharacteristic
113#17988465C2211yescharacteristic
114#17988465C2211yescharacteristic
115#17988465C2211yescharacteristic
116#17988465C2211yescharacteristic, complemented
117#17988465C2211yescharacteristic, complemented
118#17988464C2211yescharacteristic
119#17988464C2211yescharacteristic
120#17988463C2211yescharacteristic
121#17988463C2211yescharacteristic
122#17988462C2211yescharacteristic
123#17988462C2211yescharacteristic
124#17988462C2211yescharacteristic
125#17988461C2211yescharacteristic
126#17988461C2211yescharacteristic
127#17988461C2211yescharacteristic
128#17988461C2211yescharacteristic
129#17988461C2211yescharacteristic
130#17988461C2211yescharacteristic
131#17988461C2211yescharacteristic
132#17988461C2211yescharacteristic, complemented
133#17988461C2211yescharacteristic, complemented
134#17988461C2211yescharacteristic, complemented
135#17988461C2211yescharacteristic, complemented
136#17988461C2211yescharacteristic, complemented
137#17988460C2211yescharacteristic
138#17988459C2211yescharacteristic
139#17988458C2211yescharacteristic
140#17988458C2211yescharacteristic
141#17988458C2211yescharacteristic
142#17988458C2211yescharacteristic, complemented
143#17988457C2211yescharacteristic, complemented
144#17988455C2211yescharacteristic, complemented
145#17988452C2211yescharacteristic, complemented
146#17988451C2211yescharacteristic, complemented
147#17988449C2211yescharacteristic, complemented
148#17988446C2211yescharacteristic
149#17988446C2211yescharacteristic, complemented
150#17988444C2211yescharacteristic
151#17988444C2211yescharacteristic, complemented
152#17988444C2211yescharacteristic, complemented
153#17988442C2211yescharacteristic
154#17988442C2211yescharacteristic
155C4×#11924007C2211yescharacteristic, complemented
156#17988438C2211yescharacteristic, complemented
157#17988438C2211yescharacteristic, complemented
158#17988438C2211yescharacteristic, complemented
159C4×#11924005C2211yescharacteristic
160C4×#11924005C2211yescharacteristic
161C4×#11924005C2211yescharacteristic
162C4×#11924005C2211yescharacteristic
163C4×#11924005C2211yescharacteristic
164C4×#11924005C2211yescharacteristic
165C4×#11924005C2211yescharacteristic, complemented
166#17988434C2211yescharacteristic
167#17988434C2211yescharacteristic
168#17988434C2211yescharacteristic, complemented
169#17988434C2211yescharacteristic, complemented
170#95×D73C2211yescharacteristic
171#95×D73C2211yescharacteristic
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×D73—42no—
199C22×C4×D73—42no—
200C22×C4×D73—42no—
201C22×C4×D73C2311yescharacteristic
202C22×C4×D73C2311yescharacteristic
203C22×C4×D73C2311yescharacteristic
204C22×C4×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
208C22×C4×D73C2311yescharacteristic
209C22×C4×D73C2311yescharacteristic
210C22×C4×D73C2311yescharacteristic
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215#14556586C2×C418yescomplemented
216#14556579C2×C418yescomplemented
217#14556577C2×C418yescomplemented
218#14556576C2×C418yescomplemented
219#14556573C2×C418yescomplemented
220#14556569C2×C418yescomplemented
221#14556566C2×C418yescomplemented
222#14556566C2×C418yescomplemented
223#14556564C2×C418yescomplemented
224#14556561C2×C418yescomplemented
225#14556561C2×C418yescomplemented
226C4×Dic146—42no—
227C4×D292—42no—
228C4×D292—42no—
229C4×D292—42no—
230C4×D292—42no—
231C4×D292—42no—
232C4×D292C2×C418yescomplemented
233#14556553—42no—
234#14556553—42no—
235#14556553C2×C418yescomplemented
236C4×C22⋊D73—42no—
237C4×C22⋊D73—42no—
238#14556548—42no—
239C2×C4⋊Dic73C2311yescharacteristic
240C2×C4⋊Dic73C2311yescharacteristic
241C2×C4⋊Dic73C2311yescharacteristic
242C2×C4⋊Dic73C2311yescharacteristic
243C2×C4⋊Dic73C2311yescharacteristic
244C2×C4⋊Dic73C2311yescharacteristic
245C2×C4⋊Dic73C2311yescharacteristic
246C2×C4⋊Dic73C2311yescharacteristic
247C2×C4⋊Dic73C2311yescharacteristic
248C2×C4⋊Dic73C2311yescharacteristic
249C2×#11924007C2311yescharacteristic
250C2×#11924007C2311yescharacteristic
251C2×#11924007C2311yescharacteristic
252C2×#11924007C2311yescharacteristic
253C2×#11924007C2311yescharacteristic
254C2×#11924007C2311yescharacteristic
255C2×#11924007C2311yescharacteristic
256C2×#11924007C2311yescharacteristic
257C2×#11924007C2311yescharacteristic
258C2×#11924007C2311yescharacteristic
259C2×#11924007C2311yescharacteristic
260C2×#11924007C2311yescharacteristic
261C4⋊C4×D73—42no—
262C4⋊C4×D73—42no—
263C4⋊C4×D73—42no—
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×C22⋊Dic73C2311yescharacteristic
267C2×C22⋊Dic73C2311yescharacteristic
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
289C2×#11924005C2311yescharacteristic
290C2×#11924005C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C2×#11924005C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C22⋊C4×D73—42no—
301C22⋊C4×D73C2×C418yescomplemented
302C2×C4×Dic73C2311yescharacteristic
303C2×C4×Dic73C2311yescharacteristic
304C2×C4×Dic73C2311yescharacteristic
305C2×C4×Dic73C2311yescharacteristic
306C2×C4×Dic73C2311yescharacteristic
307C2×C4×Dic73C2311yescharacteristic
308C2×C4×Dic73C2311yescharacteristic
309C2×C4×Dic73C2311yescharacteristic
310C2×C4×Dic73C2311yescharacteristic
311C2×C4×Dic73C2311yescharacteristic
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
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340C23×C4×C73C2311yescharacteristic
341#126×C73C2×C418yescomplemented
342C2×C4⋊C4×C73C2311yescharacteristic
343C2×C4⋊C4×C73C2311yescharacteristic
344C2×C4⋊C4×C73C2311yescharacteristic
345C2×C4⋊C4×C73C2311yescharacteristic
346C2×C4⋊C4×C73C2311yescharacteristic
347C2×C4⋊C4×C73C2311yescharacteristic
348C2×C4⋊C4×C73C2311yescharacteristic
349C2×C4⋊C4×C73C2311yescharacteristic
350C2×C22⋊C4×C73C2311yescharacteristic
351C2×C22⋊C4×C73C2311yescharacteristic
352C2×C22⋊C4×C73C2311yescharacteristic
353C2×C22⋊C4×C73C2311yescharacteristic
354C2×C22⋊C4×C73C2311yescharacteristic
355C2×C22⋊C4×C73C2311yescharacteristic
356C2×C42×C73C2311yescharacteristic
357C2×C42×C73C2311yescharacteristic
358C2×C42×C73C2311yescharacteristic
359C2×C42×C73C2311yescharacteristic
360C2×C42×C73C2311yescharacteristic
361C2×C42×C73C2311yescharacteristic
362C2×C42×C73C2311yescharacteristic
363C2×C42×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369#95×C73C2311yescharacteristic
370#95×C73C2311yescharacteristic
371#95×C73C2311yescharacteristic
372#95×C73C2311yescharacteristic
373#95×C73C2311yescharacteristic
374#95×C73C2311yescharacteristic
375#95×C73C2311yescharacteristic
376C23×D73—22no—
377C23×D73—22no—
378C23×D73—41no—
379C23×D73—41no—
380C23×D73—41no—
381C23×D73—41no—
382C23×D73C22×C414yes—
383C23×D73C2411yescharacteristic
384C23×D73C2411yescharacteristic
385C23×D73C2411yescharacteristic
386C23×D73C2411yescharacteristic
387C2×Dic146—41no—
388C2×Dic146—41no—
389C2×Dic146C22×C414yescomplemented
390C2×D292—22no—
391C2×D292—22no—
392C2×D292—22no—
393C2×D292—22no—
394C2×D292—41no—
395C2×D292—41no—
396C2×D292—41no—
397C2×D292—41no—
398C2×D292—41no—
399C2×D292—41no—
400C2×D292C22×C414yes—
401C2×D292C22×C414yes—
402C2×D292C22×C414yes—
403C2×D292C22×C414yes—
404C2×D292C22×C414yescomplemented
405C2×C22⋊D73—41no—
406C2×C22⋊D73—41no—
407C2×C22⋊D73—41no—
408C2×C22⋊D73—41no—
409C2×C22⋊D73C22×C414yes—
410C2×C22⋊D73C22×C414yes—
411C22×Dic73—41no—
412C22×Dic73—41no—
413C22×Dic73—41no—
414C22×Dic73C2411yescharacteristic
415C22×Dic73C2411yescharacteristic
416C22×Dic73C2411yescharacteristic
417C22×Dic73C2411yescharacteristic
418C22×Dic73C2411yescharacteristic
419C22×Dic73C2411yescharacteristic
420C22×Dic73C2411yescharacteristic
421C22×Dic73C2411yescharacteristic
422C22×Dic73C2411yescharacteristic
423C22×Dic73C2411yescharacteristic
424C22×Dic73C2411yescharacteristic
425C22×Dic73C2411yescharacteristic
426C2×C4×D73—22no—
427C2×C4×D73—22no—
428C2×C4×D73—22no—
429C2×C4×D73—22no—
430C2×C4×D73—22no—
431C2×C4×D73—22no—
432C2×C4×D73—22no—
433C2×C4×D73—22no—
434C2×C4×D73—22no—
435C2×C4×D73—22no—
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×D73—41no—
447C2×C4×D73—41no—
448C2×C4×D73—41no—
449C2×C4×D73—41no—
450C2×C4×D73—416no—
451C2×C4×D73—41no—
452C2×C4×D73—41no—
453C2×C4×D73—41no—
454C2×C4×D73—41no—
455C2×C4×D73—41no—
456C2×C4×D73—41no—
457C2×C4×D73—41no—
458C2×C4×D73—41no—
459C2×C4×D73—41no—
460C2×C4×D73—41no—
461C2×C4×D73—41no—
462C2×C4×D73—41no—
463C2×C4×D73—41no—
464C2×C4×D73—41no—
465C2×C4×D73C22×C414yes—
466C2×C4×D73C22×C414yes—
467C2×C4×D73C22×C414yescomplemented
468C2×C4×D73C22×C414yescomplemented
469C4⋊Dic73—41no—
470C4⋊Dic73—41no—
471C4⋊Dic73—41no—
472C4⋊Dic73—41no—
473C4⋊Dic73—41no—
474C4⋊Dic73—41no—
475C4⋊Dic73—41no—
476C4⋊Dic73—41no—
477C4⋊Dic73—41no—
478C4⋊Dic73C22×C414yescomplemented
479#11924007—22no—
480#11924007—22no—
481#11924007—22no—
482#11924007—22no—
483#11924007—41no—
484#11924007—41no—
485#11924007—41no—
486#11924007—41no—
487#11924007—41no—
488#11924007—41no—
489#11924007C22×C414yescomplemented
490#11924007C22×C414yescomplemented
491C22⋊Dic73—41no—
492C22⋊Dic73—41no—
493C22⋊Dic73—41no—
494C22⋊Dic73C22×C414yes—
495#11924005—22no—
496#11924005—22no—
497#11924005—22no—
498#11924005—22no—
499#11924005—22no—
500#11924005—22no—
501#11924005—41no—
502#11924005—41no—
503#11924005—41no—
504#11924005—41no—
505#11924005—41no—
506#11924005—41no—
507#11924005—41no—
508#11924005—41no—
509#11924005—41no—
510#11924005—41no—
511#11924005—41no—
512#11924005—41no—
513#11924005—41no—
514#11924005—41no—
515#11924005—41no—
516#11924005—41no—
517#11924005C22×C414yes—
518#11924005C22×C414yes—
519#11924005C22×C414yes—
520#11924005C22×C414yes—
521#11924005C22×C414yes—
522#11924005C22×C414yes—
523#11924005C22×C414yescomplemented
524#11924005C22×C414yescomplemented
525#11924005C22×C414yescomplemented
526#11924005C22×C414yescomplemented
527C4×Dic73—41no—
528C4×Dic73—41no—
529C4×Dic73—41no—
530C4×Dic73—41no—
531C4×Dic73—41no—
532C4×Dic73—41no—
533C4×Dic73—41no—
534C4×Dic73—41no—
535C4×Dic73—41no—
536C4×Dic73C22×C414yescomplemented
537C24×C73C2411yescharacteristic
538C22×C4×C73—22no—
539C22×C4×C73—22no—
540C22×C4×C73—41no—
541C22×C4×C73C2411yescharacteristic
542C22×C4×C73C2411yescharacteristic
543C22×C4×C73C2411yescharacteristic
544C22×C4×C73C2411yescharacteristic
545C22×C4×C73C2411yescharacteristic
546C22×C4×C73C2411yescharacteristic
547C22×C4×C73C2411yescharacteristic
548C22×C4×C73C2411yescharacteristic
549C22×C4×C73C2411yescharacteristic
550C22×C4×C73C2411yescharacteristic
551C22×C4×C73C2411yescharacteristic
552C22×C4×C73C2411yescharacteristic
553C22×C4×C73C2411yescharacteristic
554C22×C4×C73C2411yescharacteristic
555C4⋊C4×C73—22no—
556C4⋊C4×C73—22no—
557C4⋊C4×C73—41no—
558C4⋊C4×C73—41no—
559C4⋊C4×C73—41no—
560C4⋊C4×C73C22×C414yescomplemented
561C4⋊C4×C73C22×C414yescomplemented
562C4⋊C4×C73C22×C414yescomplemented
563C22⋊C4×C73—41no—
564C22⋊C4×C73—41no—
565C22⋊C4×C73—41no—
566C22⋊C4×C73C22×C414yes—
567C22⋊C4×C73C22×C414yes—
568C22⋊C4×C73C22×C414yes—
569C42×C73—22no—
570C42×C73—22no—
571C42×C73—41no—
572C42×C73—41no—
573C42×C73—41no—
574C42×C73—41no—
575C42×C73—41no—
576C42×C73C22×C414yescomplemented
577C23×C73—21no—
578C23×C73—21no—
579C23×C73—21no—
580C23×C73—21no—
581C23×C73—21no—
582C23×C73—21no—
583C23×C73C23×C412yes—
584C23×C73C2511yescharacteristic
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—21no—
595C22×D73—21no—
596C22×D73—21no—
597C22×D73—21no—
598C22×D73—21no—
599C22×D73—21no—
600C22×D73—21no—
601C22×D73—21no—
602C22×D73—21no—
603C22×D73—21no—
604C22×D73—21no—
605C22×D73—21no—
606C22×D73—21no—
607C22×D73—28no—
608C22×D73—44no—
609C22×D73—44no—
610C22×D73—44no—
611C22×D73—44no—
612C22×D73—44no—
613C22×D73—44no—
614C22×D73C23×C412yes—
615C22×D73C23×C412yes—
616C22×D73C23×C412yes—
617C22×D73C23×C412yes—
618C22×D73H(5,𝔽2)12yes—
619C22×D732−1+412yes—
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—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—44no—
655C2×C4×C73C23×C412yes—
656C2×C4×C73C23×C412yes—
657C2×C4×C73C23×C412yes—
658C2×C4×C73C23×C412yes—
659C2×C4×C73C23×C412yes—
660C2×C4×C73C23×C412yes—
661C2×C4×C73H(5,𝔽2)12yes—
662C2×C4×C73H(5,𝔽2)12yes—
663C22⋊D73—44no—
664C22⋊D73—44no—
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—21no—
682C2×Dic73—21no—
683C2×Dic73—21no—
684C2×Dic73—21no—
685C2×Dic73—21no—
686C2×Dic73—21no—
687C2×Dic73—21no—
688C2×Dic73—21no—
689C2×Dic73—21no—
690C2×Dic73—21no—
691C2×Dic73—21no—
692C2×Dic73—21no—
693C2×Dic73—21no—
694C2×Dic73—21no—
695C2×Dic73—21no—
696C2×Dic73—21no—
697C2×Dic73—44no—
698C2×Dic73C23×C412yes—
699C2×Dic73C23×C412yes—
700C2×Dic73C23×C412yes—
701C2×Dic73C23×C412yes—
702D292—28no—
703D292—28no—
704D292—44no—
705D292—44no—
706D292—44no—
707C4×D73—44no—
708C4×D73—44no—
709C4×D73—44no—
710C4×D73—44no—
711C4×D73—44no—
712C4×D73—44no—
713C4×D73—44no—
714C4×D73—44no—
715C4×D73—82no—
716C4×D73—82no—
717C4×D73—82no—
718C4×D73—82no—
719C4×D73—82no—
720C4×D73—82no—
721Dic146—44no—
722C22×C73—22no—
723C22×C73—22no—
724C22×C73—22no—
725C22×C73—41no—
726C22×C73—41no—
727C22×C73—41no—
728C22×C73—41no—
729C22×C73C24×C411yescharacteristic
730C22×C73C2×H(5,𝔽2)11yescharacteristic
731C22×C73C2×H(5,𝔽2)11yescharacteristic
732C22×C73C2×H(5,𝔽2)11yescharacteristic
733C22×C73C2×2−1+411yescharacteristic
734C22×C73#58511yescharacteristic
735C22×C73#58511yescharacteristic
736C2×D73—22no—
737C2×D73—22no—
738C2×D73—22no—
739C2×D73—22no—
740C2×D73—22no—
741C2×D73—22no—
742C2×D73—22no—
743C2×D73—22no—
744C2×D73—22no—
745C2×D73—22no—
746C2×D73—22no—
747C2×D73—22no—
748C2×D73—22no—
749C2×D73—22no—
750C2×D73—22no—
751C2×D73—416no—
752C2×D73—41no—
753C2×D73—41no—
754C2×D73—41no—
755C2×D73—41no—
756C2×D73—41no—
757C2×D73—41no—
758C2×D73—41no—
759C2×D73—41no—
760C2×D73—41no—
761C2×D73—41no—
762C2×D73—41no—
763C2×D73—41no—
764C2×D73#52014yes—
765C4×C73—22no—
766C4×C73—22no—
767C4×C73—22no—
768C4×C73—22no—
769C4×C73—22no—
770C4×C73—22no—
771C4×C73—22no—
772C4×C73—22no—
773C4×C73—41no—
774C4×C73—41no—
775C4×C73—41no—
776C4×C73—41no—
777C4×C73—41no—
778C4×C73—41no—
779Dic73—22no—
780Dic73—22no—
781Dic73—22no—
782Dic73—22no—
783Dic73—41no—
784Dic73—41no—
785Dic73—41no—
786Dic73—41no—
787Dic73—41no—
788Dic73—41no—
789Dic73—41no—
790Dic73—41no—
791#34416—731nomaximal, Sylow
792C2×C73—42no—
793C2×C73C2×#52011yescharacteristic
794C2×C73C4×H(5,𝔽2)11yescharacteristic
795C2×C73C4×H(5,𝔽2)11yescharacteristic
796C2×C73#353211yescharacteristic
797C2×C73#353311yescharacteristic
798C2×C73#354111yescharacteristic
799C2×C73#354111yescharacteristic
800D73—24no—
801D73—42no—
802D73—42no—
803D73—42no—
804C2×#538—731no—
805#2383—731no—
806#2379—731no—
807#2377—731no—
808#2376—731no—
809#2373D7311yescharacteristic, complemented
810#2368—731no—
811#2367—731no—
812#2364—731no—
813#2361—731no—
814#2361—731no—
815#2360—731no—
816#2359—731no—
817#2353—731no—
818#2352—731no—
819#2349—731no—
820D4×C4⋊C4—731no—
821#2337—731no—
822#2335—731no—
823#2334—731no—
824#2334—731no—
825#2326—731no—
826#2325—731no—
827#2324—731no—
828#2322—731no—
829#2321—731no—
830#2321—731no—
831#2312—731no—
832C4×#120—731no—
833C4×#120—731no—
834C2×#385—731no—
835C73#3441611yescharacteristic, complemented, Sylow
836C24×C4—731no—
837#538—7316no—
838C2×#126—731no—
839C2×#126C2×D7311yescharacteristic
840C2×#124—731no—
841C2×#124—731no—
842C2×#123—731no—
843C2×#123—731no—
844C2×C22⋊Q8—731no—
845C2×#121—731no—
846C2×#121—731no—
847C2×#121—731no—
848C2×#120—731no—
849C2×#120—731no—
850C2×C4×Q8—731no—
851C2×C4×D4—731no—
852C2×C4×D4—731no—
853C2×C4×D4—731no—
854C2×C4×D4—731no—
855C2×C4×D4—731no—
856C2×C4×D4—731no—
857C2×C4×D4—731no—
858C2×C4×D4—731no—
859C2×C4×D4—731no—
860C2×C4×D4—731no—
861C2×C4×D4—731no—
862C2×#117—731no—
863C22×C4⋊C4—731no—
864C22×C4⋊C4—731no—
865C22×C4⋊C4—731no—
866C22×C22⋊C4—731no—
867C22×C22⋊C4—731no—
868#391—731no—
869#391—731no—
870#391—731no—
871#390—731no—
872#390—731no—
873#390—731no—
874#390—731no—
875#390—731no—
876#389—731no—
877#389—731no—
878#389—731no—
879#389—731no—
880#389—731no—
881#389—731no—
882#389—731no—
883#389C2×D7311yescharacteristic, complemented
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#388—731no—
893#388—731no—
894#388—731no—
895#388—731no—
896#388—731no—
897#388—731no—
898#388—731no—
899#388—731no—
900#388—731no—
901#388—731no—
902#388—731no—
903#388—731no—
904#388—731no—
905#388C2×D7311yescharacteristic
906#388C2×D7311yescharacteristic
907#388C2×D7311yescharacteristic
908#387—731no—
909#387—731no—
910#387—731no—
911#387—731no—
912#387—731no—
913#387—731no—
914#387—731no—
915#387—731no—
916#387—731no—
917#387C2×D7311yescharacteristic, complemented
918#387C2×D7311yescharacteristic, complemented
919#387C2×D7311yescharacteristic, complemented
920#386—731no—
921#386—731no—
922#386—731no—
923#386—731no—
924#386—731no—
925#386—731no—
926#386—731no—
927#386—731no—
928#386—731no—
929#386—731no—
930#386—731no—
931#386—731no—
932#386—731no—
933#386—731no—
934#385—731no—
935#385—731no—
936#385—731no—
937#385—731no—
938#385—731no—
939#385—731no—
940#385—731no—
941#385—731no—
942#385—731no—
943#385—731no—
944#385—731no—
945#385—731no—
946#385—731no—
947#385—731no—
948#385—731no—
949#385—731no—
950#385—731no—
951#385—731no—
952#385—731no—
953#385—731no—
954#385—731no—
955#385C2×D7311yescharacteristic
956#384—731no—
957#383—731no—
958#382—731no—
959#382—731no—
960#381—731no—
961#380—731no—
962#380—731no—
963#380—731no—
964#380—731no—
965#380—731no—
966#379—731no—
967#379—731no—
968C4×C4⋊C4—731no—
969C4×C4⋊C4—731no—
970C4×C4⋊C4—731no—
971C4×C4⋊C4—731no—
972C4×C4⋊C4C2×D7311yescharacteristic, complemented
973C4×C4⋊C4C2×D7311yescharacteristic, complemented
974C4×C4⋊C4C2×D7311yescharacteristic, complemented
975C4×C22⋊C4—731no—
976C4×C22⋊C4—731no—
977C4×C22⋊C4—731no—
978C4×C22⋊C4—731no—
979C4×C22⋊C4—731no—
980C4×C22⋊C4—731no—
981C4×C22⋊C4—731no—
982C4×C22⋊C4—731no—
983C4×C22⋊C4—731no—
984C4×C22⋊C4—731no—
985C4×C22⋊C4—731no—
986C4×C22⋊C4C2×D7311yescharacteristic
987C4×C22⋊C4C2×D7311yescharacteristic
988#376C2×D7311yescharacteristic, complemented
989C2×#95—731no—
990C2×#95—731no—
991C2×#95—731no—
992C25—731no—
993C22×Q8—731no—
994C22×D4—731no—
995C22×D4—731no—
996C22×D4—731no—
997C22×D4—731no—
998C22×D4—731no—
999C22×D4—731no—
1000C22×D4—731no—
1001C23×C4—2922no—
1002C23×C4—2922no—
1003C23×C4—2922no—
1004C23×C4—731no—
1005C23×C4—731no—
1006C23×C4—731no—
1007C23×C4—731no—
1008C23×C4—731no—
1009C23×C4—731no—
1010C23×C4—731no—
1011C23×C4—731no—
1012C23×C4—731no—
1013C23×C4—731no—
1014C23×C4—731no—
1015C23×C4—731no—
1016C23×C4—731no—
1017C23×C4—731no—
1018C23×C4—731no—
1019C23×C4C22×D7311yescharacteristic
1020#126—738no—
1021#126C4×D7318yescomplemented
1022#124—738no—
1023#124—738no—
1024#123—738no—
1025#123—738no—
1026C22⋊Q8—738no—
1027#121—738no—
1028#121—738no—
1029#121—738no—
1030#120—738no—
1031#120—738no—
1032C4×Q8—2922no—
1033C4×D4—2922no—
1034C4×D4—2922no—
1035C4×D4—2922no—
1036C4×D4—2922no—
1037C4×D4—2922no—
1038C4×D4—2922no—
1039C4×D4—2922no—
1040C4×D4—2922no—
1041C4×D4—2922no—
1042C4×D4—738no—
1043C4×D4—738no—
1044#117—2922no—
1045C2×C4⋊C4—2922no—
1046C2×C4⋊C4—2922no—
1047C2×C4⋊C4—2922no—
1048C2×C4⋊C4—731no—
1049C2×C4⋊C4—731no—
1050C2×C4⋊C4—731no—
1051C2×C4⋊C4—731no—
1052C2×C4⋊C4—731no—
1053C2×C4⋊C4—731no—
1054C2×C4⋊C4—731no—
1055C2×C4⋊C4—731no—
1056C2×C4⋊C4—731no—
1057C2×C4⋊C4—731no—
1058C2×C4⋊C4—731no—
1059C2×C4⋊C4—731no—
1060C2×C4⋊C4—731no—
1061C2×C4⋊C4—731no—
1062C2×C4⋊C4—731no—
1063C2×C4⋊C4—731no—
1064C2×C4⋊C4—731no—
1065C2×C4⋊C4—731no—
1066C2×C4⋊C4—731no—
1067C2×C4⋊C4—731no—
1068C2×C4⋊C4—731no—
1069C2×C4⋊C4—731no—
1070C2×C4⋊C4C22×D7311yescharacteristic
1071C2×C4⋊C4C22×D7311yescharacteristic
1072C2×C4⋊C4C22×D7311yescharacteristic
1073C2×C4⋊C4C22×D7311yescharacteristic
1074C2×C4⋊C4C22×D7311yescharacteristic
1075C2×C4⋊C4C22×D7311yescharacteristic
1076C2×C4⋊C4C22×D7311yescharacteristic
1077C2×C4⋊C4C22×D7311yescharacteristic
1078C2×C22⋊C4—2922no—
1079C2×C22⋊C4—731no—
1080C2×C22⋊C4—731no—
1081C2×C22⋊C4—731no—
1082C2×C22⋊C4—731no—
1083C2×C22⋊C4—731no—
1084C2×C22⋊C4—731no—
1085C2×C22⋊C4—731no—
1086C2×C22⋊C4—731no—
1087C2×C22⋊C4—731no—
1088C2×C22⋊C4—731no—
1089C2×C22⋊C4—731no—
1090C2×C22⋊C4—731no—
1091C2×C22⋊C4—731no—
1092C2×C22⋊C4—731no—
1093C2×C22⋊C4—731no—
1094C2×C22⋊C4—731no—
1095C2×C22⋊C4—731no—
1096C2×C22⋊C4—731no—
1097C2×C22⋊C4—731no—
1098C2×C22⋊C4—731no—
1099C2×C22⋊C4—731no—
1100C2×C22⋊C4—731no—
1101C2×C22⋊C4—731no—
1102C2×C22⋊C4—731no—
1103C2×C22⋊C4—731no—
1104C2×C22⋊C4—731no—
1105C2×C22⋊C4—731no—
1106C2×C22⋊C4—731no—
1107C2×C22⋊C4—731no—
1108C2×C22⋊C4—731no—
1109C2×C22⋊C4—738no—
1110C2×C22⋊C4—731no—
1111C2×C22⋊C4—731no—
1112C2×C22⋊C4—731no—
1113C2×C22⋊C4—731no—
1114C2×C22⋊C4—731no—
1115C2×C22⋊C4—731no—
1116C2×C22⋊C4C22×D7311yescharacteristic
1117C2×C22⋊C4C22×D7311yescharacteristic
1118C2×C22⋊C4C22×D7311yescharacteristic
1119C2×C22⋊C4C22×D7311yescharacteristic
1120C2×C22⋊C4C22×D7311yescharacteristic
1121C2×C22⋊C4C22×D7311yescharacteristic
1122C2×C42—731no—
1123C2×C42—731no—
1124C2×C42—731no—
1125C2×C42—731no—
1126C2×C42—731no—
1127C2×C42—731no—
1128C2×C42—731no—
1129C2×C42—731no—
1130C2×C42—731no—
1131C2×C42—731no—
1132C2×C42C22×D7311yescharacteristic
1133C2×C42C22×D7311yescharacteristic
1134C2×C42C22×D7311yescharacteristic
1135C2×C42C22×D7311yescharacteristic
1136C2×C42C22×D7311yescharacteristic
1137C2×C42C22×D7311yescharacteristic
1138C2×C42C22×D7311yescharacteristic
1139C2×C42C22×D7311yescharacteristic
1140#95—731no—
1141#95—731no—
1142#95—731no—
1143#95—731no—
1144#95—731no—
1145#95—731no—
1146#95—731no—
1147#95—731no—
1148#95—731no—
1149#95—731no—
1150#95—731no—
1151#95—731no—
1152#95—731no—
1153#95—731no—
1154#95—731no—
1155#95—731no—
1156#95—731no—
1157#95—731no—
1158#95—731no—
1159#95—731no—
1160#95—731no—
1161#95—731no—
1162#95—731no—
1163#95—731no—
1164#95—731no—
1165#95—731no—
1166#95—731no—
1167#95—731no—
1168#95C22×D7311yescharacteristic
1169#95C22×D7311yescharacteristic
1170#95C22×D7311yescharacteristic
1171#95C22×D7311yescharacteristic
1172#95C22×D7311yescharacteristic
1173#95C22×D7311yescharacteristic
1174#95C22×D7311yescharacteristic
1175#95C22×D7311yescharacteristic
1176#95C22×D7311yescharacteristic
1177#95C22×D7311yescharacteristic
1178#95C22×D7311yescharacteristic
1179#95C22×D7311yescharacteristic
1180C24—2921no—
1181C24—2921no—
1182C24—2921no—
1183C24—2921no—
1184C24—734no—
1185C24—731no—
1186C24—731no—
1187C24—731no—
1188C24—731no—
1189C24—1462no—
1190C24—1462no—
1191C24C23×D7311yescharacteristic
1192C2×Q8—2921no—
1193C2×Q8—2921no—
1194C2×Q8—734no—
1195C2×D4—2921no—
1196C2×D4—2921no—
1197C2×D4—2921no—
1198C2×D4—2921no—
1199C2×D4—2921no—
1200C2×D4—2921no—
1201C2×D4—2921no—
1202C2×D4—2921no—
1203C2×D4—2921no—
1204C2×D4—2921no—
1205C2×D4—734no—
1206C2×D4—734no—
1207C2×D4—734no—
1208C2×D4—734no—
1209C2×D4—734no—
1210C2×D4—734no—
1211C2×D4—734no—
1212C2×D4—1462no—
1213C2×D4—1462no—
1214C2×D4—1462no—
1215C2×D4—1462no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—2921no—
1220C22×C4—2921no—
1221C22×C4—2921no—
1222C22×C4—2921no—
1223C22×C4—2921no—
1224C22×C4—2921no—
1225C22×C4—2921no—
1226C22×C4—2921no—
1227C22×C4—2921no—
1228C22×C4—2921no—
1229C22×C4—2921no—
1230C22×C4—2921no—
1231C22×C4—2921no—
1232C22×C4—2921no—
1233C22×C4—2921no—
1234C22×C4—2921no—
1235C22×C4—2921no—
1236C22×C4—2921no—
1237C22×C4—2921no—
1238C22×C4—2921no—
1239C22×C4—2921no—
1240C22×C4—2921no—
1241C22×C4—2921no—
1242C22×C4—2921no—
1243C22×C4—2921no—
1244C22×C4—2921no—
1245C22×C4—2921no—
1246C22×C4—2921no—
1247C22×C4—29216no—
1248C22×C4—2921no—
1249C22×C4—2921no—
1250C22×C4—2921no—
1251C22×C4—734no—
1252C22×C4—734no—
1253C22×C4—734no—
1254C22×C4—734no—
1255C22×C4—731no—
1256C22×C4—731no—
1257C22×C4—731no—
1258C22×C4—731no—
1259C22×C4—731no—
1260C22×C4—731no—
1261C22×C4—731no—
1262C22×C4—731no—
1263C22×C4—731no—
1264C22×C4—731no—
1265C22×C4—731no—
1266C22×C4—731no—
1267C22×C4—1462no—
1268C22×C4—1462no—
1269C22×C4—1462no—
1270C22×C4—1462no—
1271C22×C4—1462no—
1272C22×C4—1462no—
1273C22×C4—1462no—
1274C22×C4—1462no—
1275C22×C4—1462no—
1276C22×C4—1462no—
1277C22×C4C23×D7311yescharacteristic
1278C22×C4C23×D7311yescharacteristic
1279C22×C4C23×D7311yescharacteristic
1280C22×C4C23×D7311yescharacteristic
1281C22×C4C23×D7311yescharacteristic
1282C22×C4C23×D7311yescharacteristic
1283C22×C4C23×D7311yescharacteristic
1284C22×C4C23×D7311yescharacteristic
1285C22×C4C23×D7311yescharacteristic
1286C22×C4C23×D7311yescharacteristic
1287C22×C4C23×D7311yescharacteristic
1288C22×C4C23×D7311yescharacteristic
1289C22×C4C23×D7311yescharacteristic
1290C22×C4C23×D7311yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—2921no—
1297C4⋊C4—2921no—
1298C4⋊C4—2921no—
1299C4⋊C4—2921no—
1300C4⋊C4—2921no—
1301C4⋊C4—2921no—
1302C4⋊C4—2921no—
1303C4⋊C4—2921no—
1304C4⋊C4—2921no—
1305C4⋊C4—2921no—
1306C4⋊C4—2921no—
1307C4⋊C4—2921no—
1308C4⋊C4—2921no—
1309C4⋊C4—2921no—
1310C4⋊C4—2921no—
1311C4⋊C4—734no—
1312C4⋊C4—734no—
1313C4⋊C4—734no—
1314C4⋊C4—1462no—
1315C4⋊C4—1462no—
1316C4⋊C4—1462no—
1317C4⋊C4—1462no—
1318C4⋊C4C2×C4×D7314yescomplemented
1319C4⋊C4C2×C4×D7314yescomplemented
1320C4⋊C4C2×C4×D7314yescomplemented
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—2921no—
1325C22⋊C4—2921no—
1326C22⋊C4—2921no—
1327C22⋊C4—2921no—
1328C22⋊C4—2921no—
1329C22⋊C4—2921no—
1330C22⋊C4—2921no—
1331C22⋊C4—2921no—
1332C22⋊C4—2921no—
1333C22⋊C4—2921no—
1334C22⋊C4—2921no—
1335C22⋊C4—2921no—
1336C22⋊C4—2921no—
1337C22⋊C4—2921no—
1338C22⋊C4—2921no—
1339C22⋊C4—2921no—
1340C22⋊C4—2921no—
1341C22⋊C4—2921no—
1342C22⋊C4—2921no—
1343C22⋊C4—734no—
1344C22⋊C4—734no—
1345C22⋊C4—734no—
1346C22⋊C4—734no—
1347C22⋊C4—734no—
1348C22⋊C4—734no—
1349C22⋊C4—734no—
1350C22⋊C4—734no—
1351C22⋊C4—734no—
1352C22⋊C4—734no—
1353C22⋊C4—734no—
1354C22⋊C4—1462no—
1355C22⋊C4—1462no—
1356C22⋊C4—1462no—
1357C22⋊C4—1462no—
1358C22⋊C4—1462no—
1359C22⋊C4—1462no—
1360C22⋊C4C2×C4×D7314yes—
1361C22⋊C4C2×C4×D7314yes—
1362C22⋊C4C2×C4×D7314yes—
1363C42—22no—
1364C42—22no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—2921no—
1371C42—2921no—
1372C42—2921no—
1373C42—2921no—
1374C42—2921no—
1375C42—2921no—
1376C42—2921no—
1377C42—2921no—
1378C42—2921no—
1379C42—734no—
1380C42C2×C4×D7314yescomplemented
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—2924no—
1388C23—2924no—
1389C23—2924no—
1390C23—2924no—
1391C23—2924no—
1392C23—2924no—
1393C23—732no—
1394C23—732no—
1395C23—732no—
1396C23—732no—
1397C23—732no—
1398C23—732no—
1399C23—1468no—
1400C23—1461no—
1401C23—1461no—
1402C23—1461no—
1403C23—1461no—
1404C23—1461no—
1405C23—1461no—
1406C23—1461no—
1407C23—1461no—
1408C23—1461no—
1409C23—1461no—
1410C23—1461no—
1411C23—1461no—
1412C23—1461no—
1413C23—1461no—
1414C23—1461no—
1415C23—1461no—
1416C23—1461no—
1417C23—1461no—
1418C23—1461no—
1419C23—1461no—
1420C23—1461no—
1421C23—1461no—
1422C23C22×C4×D7312yes—
1423C23C24×D7311yescharacteristic
1424Q8—2924no—
1425D4—2924no—
1426D4—2924no—
1427D4—2924no—
1428D4—2924no—
1429D4—2924no—
1430D4—1468no—
1431D4—1468no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—44no—
1467C2×C4—2924no—
1468C2×C4—2924no—
1469C2×C4—2924no—
1470C2×C4—2924no—
1471C2×C4—2924no—
1472C2×C4—2924no—
1473C2×C4—2924no—
1474C2×C4—2924no—
1475C2×C4—2924no—
1476C2×C4—5842no—
1477C2×C4—5842no—
1478C2×C4—5842no—
1479C2×C4—5842no—
1480C2×C4—5842no—
1481C2×C4—5842no—
1482C2×C4—732no—
1483C2×C4—732no—
1484C2×C4—732no—
1485C2×C4—732no—
1486C2×C4—1461no—
1487C2×C4—1461no—
1488C2×C4—1461no—
1489C2×C4—1461no—
1490C2×C4—1461no—
1491C2×C4—1461no—
1492C2×C4—1461no—
1493C2×C4—1461no—
1494C2×C4—1461no—
1495C2×C4—1461no—
1496C2×C4—1461no—
1497C2×C4—1461no—
1498C2×C4—1461no—
1499C2×C4—1461no—
1500C2×C4—1461no—
1501C2×C4—1461no—
1502C2×C4—1461no—
1503C2×C4—1461no—
1504C2×C4—1461no—
1505C2×C4—1461no—
1506C2×C4—1461no—
1507C2×C4—1461no—
1508C2×C4—1461no—
1509C2×C4—1461no—
1510C2×C4—1461no—
1511C2×C4—1461no—
1512C2×C4—1461no—
1513C2×C4—1461no—
1514C2×C4—1461no—
1515C2×C4—1461no—
1516C2×C4—1461no—
1517C2×C4—1461no—
1518C2×C4C22×C4×D7312yes—
1519C2×C4C22×C4×D7312yes—
1520C2×C4C22×C4×D7312yes—
1521C2×C4C22×C4×D7312yes—
1522C2×C4C22×C4×D7312yes—
1523C2×C4C22×C4×D7312yes—
1524C2×C4#1455663712yes—
1525C2×C4#1455663712yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—29216no—
1534C22—2921no—
1535C22—2921no—
1536C22—2921no—
1537C22—2921no—
1538C22—2921no—
1539C22—2921no—
1540C22—2921no—
1541C22—2921no—
1542C22—2921no—
1543C22—2921no—
1544C22—2921no—
1545C22—2921no—
1546C22—734no—
1547C22—1462no—
1548C22—1462no—
1549C22—1462no—
1550C22—1462no—
1551C22—1462no—
1552C22—1462no—
1553C22—1462no—
1554C22—1462no—
1555C22—1462no—
1556C22—1462no—
1557C22—1462no—
1558C22—1462no—
1559C22—1462no—
1560C22—1462no—
1561C22—1462no—
1562C22C23×C4×D7311yescharacteristic
1563C22H(5,𝔽2)×D7311yescharacteristic
1564C22C2×#1455663711yescharacteristic
1565C22C2×#1455663711yescharacteristic
1566C222−1+4×D7311yescharacteristic
1567C22#1798942311yescharacteristic
1568C22#1798942311yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—2921no—
1584C4—2921no—
1585C4—2921no—
1586C4—2921no—
1587C4—2921no—
1588C4—2921no—
1589C4—2921no—
1590C4—2921no—
1591C4—1462no—
1592C4—1462no—
1593C4—1462no—
1594C4—1462no—
1595C2—42no—
1596C2—2922no—
1597C2—2922no—
1598C2—2922no—
1599C2—1464no—
1600C2#520×D7311yescharacteristic
1601C2C4×#1455663711yescharacteristic
1602C2C4×#1455663711yescharacteristic
1603C2#2262408711yescharacteristic
1604C2#2262408911yescharacteristic
1605C2#2262422711yescharacteristic
1606C2#2262423111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutatorC22×C73C24×C4
FittingC73×#2373C2
socle, cosocleC23×C73C25
prime radicalC2×#17989176C2
hypercenter#2373D73
hypocenterC73#34416
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #22613123C2semidirect
3. #22613100C2semidirect
4. #22613084C2semidirect
5. #22613073C2semidirect
6. #22613015C2semidirect
7. #22613003C2semidirect
8. #22612977C2semidirect
9. #22612950C2semidirect
10. #22612949C2semidirect
11. #22612939C2semidirect
12. #22612924C2semidirect
13. #22612872C2semidirect
14. #22612855C2semidirect
15. #22612840C2semidirect
16. C4⋊C4×D292C2semidirect
17. #22612744C2semidirect
18. #22612724C2semidirect
19. #22612709C2semidirect
20. #22612700C2semidirect
21. #22612642C2semidirect
22. #22612630C2semidirect
23. #22612625C2semidirect
24. #22612604C2semidirect
25. #22612593C2semidirect
26. #22612584C2semidirect
27. #22612525C2semidirect
28. C4×#14556561C2semidirect
29. C4×#14556561C2semidirect
30. #385×D73C2semidirect
31. C73×#2373C2semidirect
33. #17989176C4semidirect
45. C2×C4×Dic146C22semidirect
54. C2×#14556553C22semidirect
57. C2×#14556548C22semidirect
60. C2×C4⋊C4×D73C22semidirect
63. #17988493C22semidirect
64. #17988491C22semidirect
65. #17988491C22semidirect
67. #17988489C22semidirect
71. #17988486C22semidirect
72. #17988486C22semidirect
73. #17988486C22semidirect
74. #17988485C22semidirect
75. #17988485C22semidirect
76. #17988484C22semidirect
77. #17988482C22semidirect
84. #17988479C22semidirect
85. #17988479C22semidirect
88. #17988478C22semidirect
89. #17988478C22semidirect
90. #17988478C22semidirect
91. #17988478C22semidirect
94. #17988477C22semidirect
95. #17988477C22semidirect
99. #17988474C22semidirect
100. #17988473C22semidirect
101. #17988473C22semidirect
102. #17988473C22semidirect
103. #17988471C22semidirect
104. #17988471C22semidirect
105. #17988470C22semidirect
106. #17988470C22semidirect
107. #17988468C22semidirect
116. #17988465C22semidirect
117. #17988465C22semidirect
132. #17988461C22semidirect
133. #17988461C22semidirect
134. #17988461C22semidirect
135. #17988461C22semidirect
136. #17988461C22semidirect
142. #17988458C22semidirect
143. #17988457C22semidirect
144. #17988455C22semidirect
145. #17988452C22semidirect
146. #17988451C22semidirect
147. #17988449C22semidirect
149. #17988446C22semidirect
151. #17988444C22semidirect
152. #17988444C22semidirect
155. C4×#11924007C22semidirect
156. #17988438C22semidirect
157. #17988438C22semidirect
158. #17988438C22semidirect
165. C4×#11924005C22semidirect
168. #17988434C22semidirect
169. #17988434C22semidirect
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
215. #14556586C2×C4semidirect
216. #14556579C2×C4semidirect
217. #14556577C2×C4semidirect
218. #14556576C2×C4semidirect
219. #14556573C2×C4semidirect
220. #14556569C2×C4semidirect
221. #14556566C2×C4semidirect
222. #14556566C2×C4semidirect
223. #14556564C2×C4semidirect
224. #14556561C2×C4semidirect
225. #14556561C2×C4semidirect
232. C4×D292C2×C4semidirect
235. #14556553C2×C4semidirect
301. C22⋊C4×D73C2×C4semidirect
341. #126×C73C2×C4semidirect
389. C2×Dic146C22×C4semidirect
404. C2×D292C22×C4semidirect
467. C2×C4×D73C22×C4semidirect
468. C2×C4×D73C22×C4semidirect
478. C4⋊Dic73C22×C4semidirect
489. #11924007C22×C4semidirect
490. #11924007C22×C4semidirect
523. #11924005C22×C4semidirect
524. #11924005C22×C4semidirect
525. #11924005C22×C4semidirect
526. #11924005C22×C4semidirect
536. C4×Dic73C22×C4semidirect
560. C4⋊C4×C73C22×C4semidirect
561. C4⋊C4×C73C22×C4semidirect
562. C4⋊C4×C73C22×C4semidirect
576. C42×C73C22×C4semidirect
809. #2373D73semidirect
835. C73#34416semidirect
883. #389C2×D73semidirect
917. #387C2×D73semidirect
918. #387C2×D73semidirect
919. #387C2×D73semidirect
972. C4×C4⋊C4C2×D73semidirect
973. C4×C4⋊C4C2×D73semidirect
974. C4×C4⋊C4C2×D73semidirect
988. #376C2×D73semidirect
1021. #126C4×D73semidirect
1318. C4⋊C4C2×C4×D73semidirect
1319. C4⋊C4C2×C4×D73semidirect
1320. C4⋊C4C2×C4×D73semidirect
1380. C42C2×C4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891762
#226131232
#226131002
#226130842
#226130732
#226130152
#226130032
#226129772
#226129502
#226129492
#226129392
#226129242
#226128722
#226128552
#226128402
C4⋊C4×D2922
#226127442
#226127242
#226127092
#226127002
#226126422
#226126302
#226126252
#226126042
#226125932
#226125842
#226125252
C4×#145565612
#385×D732
C73×#23732
#3441673