Finite Group Databasebeta

← #33258993

Subgroups — #33258993

Order 18688.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989182C211yesmaximal, characteristic, complemented
2C2×#17989174C211yesmaximal, characteristic, complemented
3#22618300C211yesmaximal, characteristic, complemented
4#22618297C211yesmaximal, characteristic, complemented
5#22618259C211yesmaximal, characteristic, complemented
6#22618228C211yesmaximal, characteristic, complemented
7#22616089C211yesmaximal, characteristic, complemented
8#22616080C211yesmaximal, characteristic, complemented
9#22616067C211yesmaximal, characteristic, complemented
10#22616056C211yesmaximal, characteristic, complemented
11#22615072C211yesmaximal, characteristic, complemented
12#22615057C211yesmaximal, characteristic, complemented
13#22615042C211yesmaximal, characteristic, complemented
14#22615027C211yesmaximal, characteristic, complemented
15#22614942C211yesmaximal, characteristic, complemented
16#22614863C211yesmaximal, characteristic, complemented
17#22614817C211yesmaximal, characteristic, complemented
18#22614627C211yesmaximal, characteristic, complemented
19#22614597C211yesmaximal, characteristic, complemented
20#22614255C211yesmaximal, characteristic, complemented
21#22614062C211yesmaximal, characteristic, complemented
22#22613930C211yesmaximal, characteristic, complemented
23#22613891C211yesmaximal, characteristic, complemented
24#22613488C211yesmaximal, characteristic, complemented
25#22613473C211yesmaximal, characteristic, complemented
26#22612605C211yesmaximal, characteristic, complemented
27#22612594C211yesmaximal, characteristic, complemented
28#121×Dic73C211yesmaximal, characteristic, complemented
29C2×#17988476C211yesmaximal, characteristic, complemented
30C4×D4×Dic73C211yesmaximal, characteristic, complemented
31C73×#2543C211yesmaximal, characteristic, complemented
32#17989182—28no—
33#17989174—28no—
34C2×#14556586C2211yescharacteristic
35C2×#14556586C2211yescharacteristic
36C2×#14556584C2211yescharacteristic, complemented
37C2×#14556584C2211yescharacteristic, complemented
38C2×#14556581C2211yescharacteristic, complemented
39C2×#14556581C2211yescharacteristic, complemented
40C2×#14556577C2211yescharacteristic
41C2×#14556577C2211yescharacteristic
42C2×#14556577C2211yescharacteristic
43C2×#14556575C2211yescharacteristic
44C2×#14556575C2211yescharacteristic
45C2×#14556572C2211yescharacteristic
46C2×#14556572C2211yescharacteristic
47C2×#14556572C2211yescharacteristic
48C2×#14556572C2211yescharacteristic, complemented
49C2×#14556572C2211yescharacteristic, complemented
50C2×#14556570C2211yescharacteristic
51C2×#14556570C2211yescharacteristic
52C2×#14556568C2211yescharacteristic, complemented
53C2×#14556568C2211yescharacteristic, complemented
54C2×#14556563C2211yescharacteristic
55C2×#14556563C2211yescharacteristic
56C2×#14556563C2211yescharacteristic
57C2×#14556559C2211yescharacteristic
58C2×#14556559C2211yescharacteristic
59C2×#14556559C2211yescharacteristic
60C2×D4×Dic73C2211yescharacteristic
61C2×D4×Dic73C2211yescharacteristic
62C2×D4×Dic73C2211yescharacteristic
63C2×D4×Dic73C2211yescharacteristic
64C2×D4×Dic73C2211yescharacteristic, complemented
65C22×#11924007C2211yescharacteristic
66C22×#11924005C2211yescharacteristic
67C22×#11924005C2211yescharacteristic
68C22×#11924005C2211yescharacteristic
69C22×C4×Dic73C2211yescharacteristic
70C22×C4×Dic73C2211yescharacteristic, complemented
71#17988529C2211yescharacteristic, complemented
72#17988528C2211yescharacteristic, complemented
73#17988522C2211yescharacteristic
74#17988522C2211yescharacteristic
75#17988521C2211yescharacteristic, complemented
76#17988521C2211yescharacteristic, complemented
77#17988520C2211yescharacteristic, complemented
78#17988516C2211yescharacteristic
79#17988515C2211yescharacteristic, complemented
80#17988515C2211yescharacteristic, complemented
81#17988510C2211yescharacteristic, complemented
82#17988509C2211yescharacteristic
83#17988509C2211yescharacteristic
84#17988509C2211yescharacteristic
85#17988508C2211yescharacteristic, complemented
86#17988508C2211yescharacteristic, complemented
87#17988503C2211yescharacteristic
88#17988503C2211yescharacteristic
89#17988503C2211yescharacteristic
90#17988503C2211yescharacteristic
91#17988502C2211yescharacteristic
92#17988502C2211yescharacteristic
93#17988501C2211yescharacteristic, complemented
94#17988500C2211yescharacteristic
95#17988499C2211yescharacteristic, complemented
96#17988495C2211yescharacteristic
97#17988495C2211yescharacteristic
98#17988495C2211yescharacteristic
99#17988491C2211yescharacteristic, complemented
100#17988491C2211yescharacteristic, complemented
101#17988491C2211yescharacteristic, complemented
102#17988490C2211yescharacteristic, complemented
103#17988487C2211yescharacteristic
104#17988487C2211yescharacteristic
105#17988487C2211yescharacteristic
106#17988487C2211yescharacteristic
107#17988487C2211yescharacteristic
108#17988487C2211yescharacteristic
109#17988487C2211yescharacteristic
110#17988487C2211yescharacteristic
111#17988486C2211yescharacteristic, complemented
112#17988484C2211yescharacteristic, complemented
113#17988484C2211yescharacteristic, complemented
114#17988484C2211yescharacteristic, complemented
115#17988484C2211yescharacteristic, complemented
116#17988482C2211yescharacteristic, complemented
117#17988481C2211yescharacteristic, complemented
118#17988480C2211yescharacteristic, complemented
119#17988480C2211yescharacteristic, complemented
120#17988480C2211yescharacteristic, complemented
121#17988479C2211yescharacteristic
122#17988479C2211yescharacteristic
123#17988479C2211yescharacteristic
124#17988478C2211yescharacteristic
125#17988478C2211yescharacteristic
126#17988477C2211yescharacteristic
127#17988476C2211yescharacteristic
128#17988476C2211yescharacteristic
129#17988476C2211yescharacteristic
130#17988476C2211yescharacteristic
131#17988476C2211yescharacteristic
132#17988476C2211yescharacteristic
133#17988476C2211yescharacteristic
134#17988476C2211yescharacteristic
135#17988476C2211yescharacteristic
136#17988476C2211yescharacteristic
137#17988476C2211yescharacteristic
138#17988475C2211yescharacteristic, complemented
139#17988475C2211yescharacteristic, complemented
140#17988475C2211yescharacteristic, complemented
141#17988469C2211yescharacteristic, complemented
142#17988469C2211yescharacteristic, complemented
143#17988467C2211yescharacteristic
144#17988467C2211yescharacteristic
145#17988467C2211yescharacteristic, complemented
146#17988466C2211yescharacteristic
147#17988466C2211yescharacteristic
148#17988464C2211yescharacteristic
149#17988464C2211yescharacteristic
150#17988464C2211yescharacteristic
151#17988460C2211yescharacteristic
152#17988460C2211yescharacteristic
153#17988459C2211yescharacteristic, complemented
154#17988459C2211yescharacteristic, complemented
155#17988451C2211yescharacteristic, complemented
156#17988448C2211yescharacteristic
157#17988447C2211yescharacteristic
158#17988445C2211yescharacteristic, complemented
159#17988442C2211yescharacteristic
160C4⋊C4×Dic73C2211yescharacteristic, complemented
161C4⋊C4×Dic73C2211yescharacteristic, complemented
162C4⋊C4×Dic73C2211yescharacteristic, complemented
163C4×C4⋊Dic73C2211yescharacteristic, complemented
164C22⋊C4×Dic73C2211yescharacteristic
165C22⋊C4×Dic73C2211yescharacteristic
166C22⋊C4×Dic73C2211yescharacteristic, complemented
167C22⋊C4×Dic73C2211yescharacteristic, complemented
168C22⋊C4×Dic73C2211yescharacteristic, complemented
169C22⋊C4×Dic73C2211yescharacteristic, complemented
170C4×C22⋊Dic73C2211yescharacteristic
171C4×C22⋊Dic73C2211yescharacteristic, complemented
172C2×#14556498C2211yescharacteristic
173C42×Dic73C2211yescharacteristic, complemented
174C2×#121×C73C2211yescharacteristic
175C2×#121×C73C2211yescharacteristic
176C2×#121×C73C2211yescharacteristic
177C2×C4×D4×C73C2211yescharacteristic
178#398×C73C2211yescharacteristic, complemented
179#397×C73C2211yescharacteristic, complemented
180#394×C73C2211yescharacteristic, complemented
181#392×C73C2211yescharacteristic, complemented
182#388×C73C2211yescharacteristic, complemented
183#388×C73C2211yescharacteristic, complemented
184#386×C73C2211yescharacteristic
185#386×C73C2211yescharacteristic
186#386×C73C2211yescharacteristic, complemented
187#386×C73C2211yescharacteristic, complemented
188C2×#95×C73C2211yescharacteristic
189C24×D73C2311yescharacteristic
190C22×Dic146C2311yescharacteristic
191C22×Dic146C2311yescharacteristic
192C22×C22⋊D73C2311yescharacteristic
193C22×C22⋊D73C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C23×Dic73C2311yescharacteristic
199C23×Dic73C2311yescharacteristic
200C23×Dic73C2311yescharacteristic
201C23×Dic73C2311yescharacteristic
202C23×Dic73C2311yescharacteristic
203C23×Dic73C2311yescharacteristic
204C23×Dic73C2311yescharacteristic
205#14556586—24no—
206#14556586—24no—
207#14556584—24no—
208#14556584—24no—
209#14556581—24no—
210#14556581—24no—
211#14556577—24no—
212#14556577—24no—
213#14556577—42no—
214#14556575—24no—
215#14556575—24no—
216#14556572—24no—
217#14556572—24no—
218#14556572—24no—
219#14556572—24no—
220#14556572—24no—
221#14556570—24no—
222#14556570—24no—
223#14556568—24no—
224#14556568—24no—
225#14556563—24no—
226#14556563—24no—
227#14556563—42no—
228#14556559—24no—
229#14556559—24no—
230#14556559—24no—
231D4×Dic73—24no—
232D4×Dic73—24no—
233D4×Dic73—24no—
234D4×Dic73—42no—
235D4×Dic73D418yescomplemented
236C2×C4⋊Dic73C2311yescharacteristic
237C2×C4⋊Dic73C2311yescharacteristic
238C2×C4⋊Dic73C2311yescharacteristic
239C2×C4⋊Dic73C2311yescharacteristic
240C2×C4⋊Dic73C2311yescharacteristic
241C2×C4⋊Dic73C2311yescharacteristic
242C2×C4⋊Dic73C2311yescharacteristic
243C2×C4⋊Dic73C2311yescharacteristic
244C2×#11924007—24no—
245C2×#11924007C2311yescharacteristic
246C2×#11924007C2311yescharacteristic
247C2×#11924007C2311yescharacteristic
248C2×#11924007C2311yescharacteristic
249C2×#11924007C2311yescharacteristic
250C2×#11924007C2311yescharacteristic
251C2×#11924007C2311yescharacteristic
252C2×#11924007C2311yescharacteristic
253C2×#11924007C2311yescharacteristic
254C2×#11924007C2311yescharacteristic
255C2×#11924007C2311yescharacteristic
256C2×#11924007C2311yescharacteristic
257C2×#11924007C2311yescharacteristic
258C2×#11924007C2311yescharacteristic
259C2×#11924007C2311yescharacteristic
260C2×#11924007C2311yescharacteristic
261C2×#11924007C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C2×C22⋊Dic73C2311yescharacteristic
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×C22⋊Dic73C2311yescharacteristic
267C2×C22⋊Dic73C2311yescharacteristic
268C2×C22⋊Dic73C2311yescharacteristic
269C2×C22⋊Dic73C2311yescharacteristic
270C2×C22⋊Dic73C2311yescharacteristic
271C2×C22⋊Dic73C2311yescharacteristic
272C2×C22⋊Dic73C2311yescharacteristic
273C2×C22⋊Dic73C2311yescharacteristic
274C2×C22⋊Dic73C2311yescharacteristic
275C2×C22⋊Dic73C2311yescharacteristic
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×#11924005—24no—
282C2×#11924005—24no—
283C2×#11924005—42no—
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
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×C4×Dic73—42no—
307C2×C4×Dic73—42no—
308C2×C4×Dic73C2311yescharacteristic
309C2×C4×Dic73C2311yescharacteristic
310C2×C4×Dic73C2311yescharacteristic
311C2×C4×Dic73C2311yescharacteristic
312C2×C4×Dic73C2311yescharacteristic
313C2×C4×Dic73C2311yescharacteristic
314C2×C4×Dic73C2311yescharacteristic
315C2×C4×Dic73C2311yescharacteristic
316C2×C4×Dic73C2311yescharacteristic
317C2×C4×Dic73C2311yescharacteristic
318C2×C4×Dic73C2311yescharacteristic
319C2×C4×Dic73C2311yescharacteristic
320C2×C4×Dic73C2311yescharacteristic
321C2×C4×Dic73C2311yescharacteristic
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
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346C22×D4×C73C2311yescharacteristic
347C22×D4×C73C2311yescharacteristic
348C22×D4×C73C2311yescharacteristic
349C22×D4×C73C2311yescharacteristic
350C22×D4×C73C2311yescharacteristic
351C22×D4×C73C2311yescharacteristic
352C23×C4×C73C2311yescharacteristic
353C23×C4×C73C2311yescharacteristic
354C23×C4×C73C2311yescharacteristic
355C23×C4×C73C2311yescharacteristic
356#121×C73—24no—
357#121×C73—24no—
358#121×C73—24no—
359C4×D4×C73—24no—
360C2×C4⋊C4×C73C2311yescharacteristic
361C2×C4⋊C4×C73C2311yescharacteristic
362C2×C4⋊C4×C73C2311yescharacteristic
363C2×C4⋊C4×C73C2311yescharacteristic
364C2×C22⋊C4×C73C2311yescharacteristic
365C2×C22⋊C4×C73C2311yescharacteristic
366C2×C22⋊C4×C73C2311yescharacteristic
367C2×C22⋊C4×C73C2311yescharacteristic
368C2×C22⋊C4×C73C2311yescharacteristic
369C2×C22⋊C4×C73C2311yescharacteristic
370C2×C22⋊C4×C73C2311yescharacteristic
371C2×C22⋊C4×C73C2311yescharacteristic
372C2×C22⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C42×C73C2311yescharacteristic
377#95×C73C2311yescharacteristic
378#95×C73C2311yescharacteristic
379#95×C73C2311yescharacteristic
380#95×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382#95×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385C23×D73—22no—
386C23×D73—22no—
387C23×D73—22no—
388C23×D73—41no—
389C23×D73—41no—
390C23×D73—41no—
391C23×D73—41no—
392C23×D73C2411yescharacteristic
393C23×D73C2411yescharacteristic
394C2×Dic146—22no—
395C2×Dic146—22no—
396C2×Dic146—41no—
397C2×Dic146—41no—
398C2×Dic146—41no—
399C2×Dic146—41no—
400C2×C22⋊D73—22no—
401C2×C22⋊D73—22no—
402C2×C22⋊D73—22no—
403C2×C22⋊D73—22no—
404C2×C22⋊D73—22no—
405C2×C22⋊D73—22no—
406C2×C22⋊D73—41no—
407C2×C22⋊D73—41no—
408C2×C22⋊D73—41no—
409C2×C22⋊D73—41no—
410C2×C22⋊D73—41no—
411C2×C22⋊D73—41no—
412C2×C22⋊D73—41no—
413C2×C22⋊D73—41no—
414C2×C22⋊D73—41no—
415C2×C22⋊D73—41no—
416C2×C22⋊D73—41no—
417C2×C22⋊D73—41no—
418C22×Dic73—22no—
419C22×Dic73—22no—
420C22×Dic73—22no—
421C22×Dic73—22no—
422C22×Dic73—22no—
423C22×Dic73—22no—
424C22×Dic73—22no—
425C22×Dic73—22no—
426C22×Dic73—22no—
427C22×Dic73—41no—
428C22×Dic73—41no—
429C22×Dic73—41no—
430C22×Dic73—41no—
431C22×Dic73—41no—
432C22×Dic73—41no—
433C22×Dic73—41no—
434C22×Dic73—41no—
435C22×Dic73—41no—
436C22×Dic73—41no—
437C22×Dic73C2×D414yes—
438C22×Dic73C2×D414yes—
439C22×Dic73C2411yescharacteristic
440C22×Dic73C2411yescharacteristic
441C22×Dic73C2411yescharacteristic
442C22×Dic73C2411yescharacteristic
443C22×Dic73C2411yescharacteristic
444C22×Dic73C2411yescharacteristic
445C22×Dic73C2411yescharacteristic
446C22×Dic73C2411yescharacteristic
447C22×Dic73C2411yescharacteristic
448C22×Dic73C2411yescharacteristic
449C22×Dic73C2411yescharacteristic
450C22×Dic73C2411yescharacteristic
451C22×Dic73C2411yescharacteristic
452C22×Dic73C2411yescharacteristic
453C4⋊Dic73—22no—
454C4⋊Dic73—22no—
455C4⋊Dic73—22no—
456C4⋊Dic73—22no—
457C4⋊Dic73—22no—
458C4⋊Dic73—41no—
459C4⋊Dic73—41no—
460C4⋊Dic73C2×D414yes—
461#11924007—22no—
462#11924007—22no—
463#11924007—22no—
464#11924007—22no—
465#11924007—22no—
466#11924007—22no—
467#11924007—22no—
468#11924007—22no—
469#11924007—22no—
470#11924007—22no—
471#11924007—22no—
472#11924007—22no—
473#11924007—22no—
474#11924007—22no—
475#11924007—41no—
476#11924007—41no—
477#11924007—41no—
478#11924007—41no—
479C22⋊Dic73—22no—
480C22⋊Dic73—22no—
481C22⋊Dic73—22no—
482C22⋊Dic73—22no—
483C22⋊Dic73—22no—
484C22⋊Dic73—22no—
485C22⋊Dic73—22no—
486C22⋊Dic73—22no—
487C22⋊Dic73—22no—
488C22⋊Dic73—22no—
489C22⋊Dic73—22no—
490C22⋊Dic73—22no—
491C22⋊Dic73—22no—
492C22⋊Dic73—41no—
493C22⋊Dic73—41no—
494C22⋊Dic73C2×D414yes—
495C22⋊Dic73C2×D414yes—
496C22⋊Dic73#4114yes—
497#11924005—22no—
498#11924005—22no—
499#11924005—22no—
500#11924005—22no—
501#11924005—22no—
502#11924005—22no—
503#11924005—22no—
504#11924005—22no—
505#11924005—22no—
506#11924005—22no—
507#11924005—22no—
508#11924005—22no—
509#11924005—22no—
510#11924005—22no—
511#11924005—22no—
512#11924005—22no—
513#11924005—41no—
514#11924005—41no—
515#11924005—41no—
516#11924005—41no—
517#11924005—41no—
518#11924005—41no—
519C4×Dic73—22no—
520C4×Dic73—22no—
521C4×Dic73—22no—
522C4×Dic73—22no—
523C4×Dic73—22no—
524C4×Dic73—22no—
525C4×Dic73—41no—
526C4×Dic73—41no—
527C4×Dic73—41no—
528C4×Dic73—41no—
529C4×Dic73—41no—
530C4×Dic73—41no—
531C4×Dic73—41no—
532C4×Dic73C2×D414yes—
533C24×C73C2411yescharacteristic
534C24×C73C2411yescharacteristic
535C24×C73C2411yescharacteristic
536C24×C73C2411yescharacteristic
537C2×D4×C73—22no—
538C2×D4×C73—22no—
539C2×D4×C73—22no—
540C2×D4×C73—22no—
541C2×D4×C73—22no—
542C2×D4×C73—22no—
543C2×D4×C73—22no—
544C2×D4×C73—22no—
545C2×D4×C73—22no—
546C2×D4×C73—22no—
547C2×D4×C73—22no—
548C2×D4×C73—41no—
549C2×D4×C73—41no—
550C2×D4×C73—41no—
551C2×D4×C73—41no—
552C2×D4×C73—41no—
553C2×D4×C73—41no—
554C2×D4×C73C2×D414yes—
555C22×C4×C73—22no—
556C22×C4×C73—22no—
557C22×C4×C73—22no—
558C22×C4×C73—41no—
559C22×C4×C73—41no—
560C22×C4×C73—41no—
561C22×C4×C73—41no—
562C22×C4×C73—41no—
563C22×C4×C73—41no—
564C22×C4×C73—41no—
565C22×C4×C73—41no—
566C22×C4×C73#4114yes—
567C22×C4×C73C2411yescharacteristic
568C22×C4×C73C2411yescharacteristic
569C22×C4×C73C2411yescharacteristic
570C22×C4×C73C2411yescharacteristic
571C22×C4×C73C2411yescharacteristic
572C22×C4×C73C2411yescharacteristic
573C22×C4×C73C2411yescharacteristic
574C22×C4×C73C2411yescharacteristic
575C22×C4×C73C2411yescharacteristic
576C22×C4×C73C2411yescharacteristic
577C22×C4×C73C2411yescharacteristic
578C4⋊C4×C73—22no—
579C4⋊C4×C73—22no—
580C4⋊C4×C73—22no—
581C4⋊C4×C73—22no—
582C22⋊C4×C73—22no—
583C22⋊C4×C73—22no—
584C22⋊C4×C73—22no—
585C22⋊C4×C73—22no—
586C22⋊C4×C73—22no—
587C22⋊C4×C73—22no—
588C22⋊C4×C73—22no—
589C22⋊C4×C73—22no—
590C22⋊C4×C73—41no—
591C22⋊C4×C73—41no—
592C22⋊C4×C73—41no—
593C22⋊C4×C73—41no—
594C42×C73—22no—
595C23×C73—21no—
596C23×C73—21no—
597C23×C73—21no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73C22×D412yes—
620C23×C73C22×D412yes—
621C23×C73C2×#4112yes—
622C23×C73C2×#4112yes—
623C23×C73C2511yescharacteristic
624C22×D73—21no—
625C22×D73—21no—
626C22×D73—21no—
627C22×D73—21no—
628C22×D73—21no—
629C22×D73—21no—
630C22×D73—21no—
631C22×D73—21no—
632C22×D73—21no—
633C22×D73—21no—
634C22×D73—21no—
635C22×D73—21no—
636C22×D73—21no—
637C22×D73—21no—
638C22×D73—44no—
639C22×D73—44no—
640C22×D73—44no—
641C22×D73—82no—
642C22×D73—82no—
643C22×D73—82no—
644C22×D73—82no—
645D4×C73—28no—
646D4×C73—44no—
647D4×C73—44no—
648D4×C73—44no—
649D4×C73—82no—
650D4×C73—82no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—44no—
682C2×C4×C73—44no—
683C2×C4×C73—82no—
684C2×C4×C73—82no—
685C2×C4×C73C22×D412yes—
686C2×C4×C73C2×#4112yes—
687C2×C4×C73C2×#4112yes—
688C22⋊D73—82no—
689C22⋊D73—82no—
690C22⋊D73—82no—
691C22⋊D73—82no—
692C22⋊D73—82no—
693C22⋊D73—82no—
694C2×Dic73—21no—
695C2×Dic73—21no—
696C2×Dic73—21no—
697C2×Dic73—21no—
698C2×Dic73—21no—
699C2×Dic73—21no—
700C2×Dic73—21no—
701C2×Dic73—21no—
702C2×Dic73—21no—
703C2×Dic73—21no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—44no—
730C2×Dic73—44no—
731C2×Dic73—44no—
732C2×Dic73—44no—
733C2×Dic73—44no—
734C2×Dic73—82no—
735C2×Dic73—82no—
736C2×Dic73C22×D412yes—
737C2×Dic73C22×D412yes—
738C2×Dic73C22×D412yes—
739C2×Dic73C22×D412yes—
740C2×Dic73C2×#4112yes—
741C2×Dic73C2×#4112yes—
742C2×Dic73H(5,𝔽2)12yes—
743Dic146—82no—
744Dic146—82no—
745C22×C73—22no—
746C22×C73—22no—
747C22×C73—22no—
748C22×C73—22no—
749C22×C73—22no—
750C22×C73—22no—
751C22×C73—22no—
752C22×C73—22no—
753C22×C73—22no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73—41no—
758C22×C73—41no—
759C22×C73—41no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73—41no—
764C22×C73—41no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73—41no—
771C22×C73—41no—
772C22×C73#53214yes—
773C22×C73C23×D411yescharacteristic
774C22×C73C22×#4111yescharacteristic
775C22×C73C22×#4111yescharacteristic
776C22×C73C2×H(5,𝔽2)11yescharacteristic
777C22×C73#58511yescharacteristic
778C22×C73#58511yescharacteristic
779C22×C73#58511yescharacteristic
780C2×D73—41no—
781C2×D73—41no—
782C2×D73—41no—
783C2×D73—41no—
784C2×D73—41no—
785C2×D73—41no—
786C2×D73—41no—
787C2×D73—41no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—88no—
795C4×C73—22no—
796C4×C73—22no—
797C4×C73—22no—
798C4×C73—41no—
799C4×C73—41no—
800C4×C73—41no—
801C4×C73—41no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806Dic73—22no—
807Dic73—22no—
808Dic73—22no—
809Dic73—22no—
810Dic73—22no—
811Dic73—22no—
812Dic73—22no—
813Dic73—41no—
814Dic73—41no—
815Dic73—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820#35009—731nomaximal, Sylow
821C2×C73—24no—
822C2×C73—42no—
823C2×C73—81no—
824C2×C73—81no—
825C2×C73C2×#53211yescharacteristic
826C2×C73#345511yescharacteristic
827C2×C73#345911yescharacteristic
828C2×C73#349611yescharacteristic
829C2×C73#350011yescharacteristic
830C2×C73#351311yescharacteristic
831C2×C73#352111yescharacteristic
832D73—81no—
833D73—81no—
834C2×#539—731no—
835C2×#538—731no—
836#2861—731no—
837#2860—731no—
838#2854—731no—
839#2850—731no—
840#2664—731no—
841#2663—731no—
842#2662—731no—
843#2661—731no—
844#2560—731no—
845#2559—731no—
846#2558—731no—
847#2557—731no—
848#2549—731no—
849#2543D7311yescharacteristic, complemented
850#2539—731no—
851#2534—731no—
852#2521—731no—
853#2519—731no—
854#2488—731no—
855#2472—731no—
856#2464—731no—
857#2461—731no—
858#2425—731no—
859#2424—731no—
860#2322—731no—
861#2321—731no—
862C4×#121—731no—
863C2×#388—731no—
864C42×D4—731no—
865C73#3500911yescharacteristic, complemented, Sylow
866#539—1468no—
867#538—1468no—
868C2×#126—731no—
869C2×#126—731no—
870C2×#126—731no—
871C2×#126—731no—
872C2×#125—731no—
873C2×#125—731no—
874C2×#124—731no—
875C2×#124—731no—
876C2×#124—731no—
877C2×#123—731no—
878C2×#123—731no—
879C2×#123—731no—
880C2×#123—731no—
881C2×#123—731no—
882C2×#123—731no—
883C2×#123—731no—
884C2×C22⋊Q8—731no—
885C2×C22⋊Q8—731no—
886C2×C22⋊Q8—731no—
887C2×C22⋊Q8—731no—
888C2×#121—731no—
889C2×#121—731no—
890C2×#121—731no—
891C2×#121C2×D7311yescharacteristic
892C2×#121C2×D7311yescharacteristic
893C2×#121C2×D7311yescharacteristic
894C2×#120—731no—
895C2×#120—731no—
896C2×#120—731no—
897C2×C4×D4—731no—
898C2×C4×D4—731no—
899C2×C4×D4—731no—
900C2×C4×D4—731no—
901C2×C4×D4—731no—
902C2×C4×D4C2×D7311yescharacteristic
903C22×C4⋊C4—731no—
904C22×C22⋊C4—731no—
905C22×C22⋊C4—731no—
906C22×C22⋊C4—731no—
907C22×C42—731no—
908C22×C42—731no—
909#400—731no—
910#400—731no—
911#399—731no—
912#399—731no—
913#398—731no—
914#398—731no—
915#398—731no—
916#398C2×D7311yescharacteristic, complemented
917#397—731no—
918#397—731no—
919#397—731no—
920#397C2×D7311yescharacteristic, complemented
921#396—731no—
922#396—731no—
923#396—731no—
924#396—731no—
925#395—731no—
926#395—731no—
927#394—731no—
928#394—731no—
929#394—731no—
930#394—731no—
931#394—731no—
932#394—731no—
933#394—731no—
934#394C2×D7311yescharacteristic, complemented
935#393—731no—
936#393—731no—
937#392—731no—
938#392—731no—
939#392—731no—
940#392C2×D7311yescharacteristic, complemented
941#391—731no—
942#391—731no—
943#391—731no—
944#390—731no—
945#390—731no—
946#390—731no—
947#390—731no—
948#390—731no—
949#390—731no—
950#390—731no—
951#390—731no—
952#390—731no—
953#389—731no—
954#389—731no—
955#389—731no—
956#389—731no—
957#389—731no—
958#389—731no—
959#388—731no—
960#388—731no—
961#388—731no—
962#388—731no—
963#388—731no—
964#388—731no—
965#388—731no—
966#388—731no—
967#388—731no—
968#388—731no—
969#388—731no—
970#388—731no—
971#388—731no—
972#388—731no—
973#388—731no—
974#388—731no—
975#388—731no—
976#388—731no—
977#388—731no—
978#388—731no—
979#388—731no—
980#388—731no—
981#388—731no—
982#388—731no—
983#388C2×D7311yescharacteristic, complemented
984#388C2×D7311yescharacteristic, complemented
985#387—731no—
986#387—731no—
987#386—731no—
988#386—731no—
989#386—731no—
990#386—731no—
991#386—731no—
992#386—731no—
993#386—731no—
994#386—731no—
995#386C2×D7311yescharacteristic
996#386C2×D7311yescharacteristic
997#386C2×D7311yescharacteristic, complemented
998#386C2×D7311yescharacteristic, complemented
999#385—731no—
1000#385—731no—
1001#385—731no—
1002#385—731no—
1003#382—731no—
1004#381—731no—
1005#380—731no—
1006#380—731no—
1007#379—731no—
1008C4×C4⋊C4—731no—
1009C4×C4⋊C4—731no—
1010C4×C4⋊C4—731no—
1011C4×C4⋊C4—731no—
1012C4×C22⋊C4—731no—
1013C4×C22⋊C4—731no—
1014C4×C22⋊C4—731no—
1015C4×C22⋊C4—731no—
1016C4×C22⋊C4—731no—
1017C4×C22⋊C4—731no—
1018C4×C22⋊C4—731no—
1019C4×C22⋊C4—731no—
1020C2×#95—731no—
1021C2×#95C2×D7311yescharacteristic
1022C43—731no—
1023C25—731no—
1024C22×Q8—731no—
1025C22×Q8—731no—
1026C22×D4—731no—
1027C22×D4—731no—
1028C22×D4—731no—
1029C22×D4—731no—
1030C22×D4—731no—
1031C22×D4—731no—
1032C22×D4C22×D7311yescharacteristic
1033C22×D4C22×D7311yescharacteristic
1034C22×D4C22×D7311yescharacteristic
1035C22×D4C22×D7311yescharacteristic
1036C22×D4C22×D7311yescharacteristic
1037C22×D4C22×D7311yescharacteristic
1038C23×C4—731no—
1039C23×C4—731no—
1040C23×C4—731no—
1041C23×C4—731no—
1042C23×C4—731no—
1043C23×C4—731no—
1044C23×C4—731no—
1045C23×C4C22×D7311yescharacteristic
1046C23×C4C22×D7311yescharacteristic
1047C23×C4C22×D7311yescharacteristic
1048C23×C4C22×D7311yescharacteristic
1049#126—1464no—
1050#126—1464no—
1051#126—1464no—
1052#126—1464no—
1053#125—1464no—
1054#125—1464no—
1055#124—2922no—
1056#124—1464no—
1057#124—1464no—
1058#123—1464no—
1059#123—1464no—
1060#123—1464no—
1061#123—1464no—
1062#123—1464no—
1063#123—1464no—
1064#123—1464no—
1065C22⋊Q8—1464no—
1066C22⋊Q8—1464no—
1067C22⋊Q8—1464no—
1068C22⋊Q8—1464no—
1069#121—24no—
1070#121—24no—
1071#121—24no—
1072#121—2922no—
1073#121—1464no—
1074#121—1464no—
1075#120—1464no—
1076#120—1464no—
1077#120—1464no—
1078C4×D4—24no—
1079C4×D4—2922no—
1080C4×D4—738no—
1081C4×D4—1464no—
1082C4×D4—1464no—
1083C4×D4—1464no—
1084C2×C4⋊C4—731no—
1085C2×C4⋊C4—731no—
1086C2×C4⋊C4—731no—
1087C2×C4⋊C4—731no—
1088C2×C4⋊C4—731no—
1089C2×C4⋊C4—731no—
1090C2×C4⋊C4—731no—
1091C2×C4⋊C4—731no—
1092C2×C4⋊C4—731no—
1093C2×C4⋊C4—731no—
1094C2×C4⋊C4—731no—
1095C2×C4⋊C4—731no—
1096C2×C4⋊C4—731no—
1097C2×C4⋊C4—731no—
1098C2×C4⋊C4—731no—
1099C2×C4⋊C4—731no—
1100C2×C4⋊C4—731no—
1101C2×C4⋊C4—731no—
1102C2×C4⋊C4—731no—
1103C2×C4⋊C4—731no—
1104C2×C4⋊C4—731no—
1105C2×C4⋊C4—731no—
1106C2×C4⋊C4—731no—
1107C2×C4⋊C4—731no—
1108C2×C4⋊C4—731no—
1109C2×C4⋊C4—731no—
1110C2×C4⋊C4—1464no—
1111C2×C4⋊C4C22×D7311yescharacteristic
1112C2×C4⋊C4C22×D7311yescharacteristic
1113C2×C4⋊C4C22×D7311yescharacteristic
1114C2×C4⋊C4C22×D7311yescharacteristic
1115C2×C22⋊C4—2922no—
1116C2×C22⋊C4—731no—
1117C2×C22⋊C4—731no—
1118C2×C22⋊C4—731no—
1119C2×C22⋊C4—731no—
1120C2×C22⋊C4—731no—
1121C2×C22⋊C4—731no—
1122C2×C22⋊C4—731no—
1123C2×C22⋊C4—731no—
1124C2×C22⋊C4—731no—
1125C2×C22⋊C4—731no—
1126C2×C22⋊C4—731no—
1127C2×C22⋊C4—731no—
1128C2×C22⋊C4—731no—
1129C2×C22⋊C4—731no—
1130C2×C22⋊C4—731no—
1131C2×C22⋊C4—731no—
1132C2×C22⋊C4—731no—
1133C2×C22⋊C4—731no—
1134C2×C22⋊C4—731no—
1135C2×C22⋊C4—731no—
1136C2×C22⋊C4—731no—
1137C2×C22⋊C4—731no—
1138C2×C22⋊C4—731no—
1139C2×C22⋊C4—731no—
1140C2×C22⋊C4—731no—
1141C2×C22⋊C4—731no—
1142C2×C22⋊C4—731no—
1143C2×C22⋊C4—731no—
1144C2×C22⋊C4—731no—
1145C2×C22⋊C4—731no—
1146C2×C22⋊C4—731no—
1147C2×C22⋊C4—731no—
1148C2×C22⋊C4—731no—
1149C2×C22⋊C4—731no—
1150C2×C22⋊C4—731no—
1151C2×C22⋊C4—731no—
1152C2×C22⋊C4—731no—
1153C2×C22⋊C4—731no—
1154C2×C22⋊C4—731no—
1155C2×C22⋊C4—731no—
1156C2×C22⋊C4—1464no—
1157C2×C22⋊C4—1464no—
1158C2×C22⋊C4C22×D7311yescharacteristic
1159C2×C22⋊C4C22×D7311yescharacteristic
1160C2×C22⋊C4C22×D7311yescharacteristic
1161C2×C22⋊C4C22×D7311yescharacteristic
1162C2×C22⋊C4C22×D7311yescharacteristic
1163C2×C22⋊C4C22×D7311yescharacteristic
1164C2×C22⋊C4C22×D7311yescharacteristic
1165C2×C22⋊C4C22×D7311yescharacteristic
1166C2×C22⋊C4C22×D7311yescharacteristic
1167C2×C22⋊C4C22×D7311yescharacteristic
1168C2×C22⋊C4C22×D7311yescharacteristic
1169C2×C22⋊C4C22×D7311yescharacteristic
1170C2×C42—2922no—
1171C2×C42—2922no—
1172C2×C42—731no—
1173C2×C42—731no—
1174C2×C42—731no—
1175C2×C42—731no—
1176C2×C42—731no—
1177C2×C42—731no—
1178C2×C42—731no—
1179C2×C42—731no—
1180C2×C42—731no—
1181C2×C42—731no—
1182C2×C42—731no—
1183C2×C42—731no—
1184C2×C42—731no—
1185C2×C42—731no—
1186C2×C42C22×D7311yescharacteristic
1187#95—731no—
1188#95—731no—
1189#95—731no—
1190#95—731no—
1191#95—731no—
1192#95—731no—
1193#95—731no—
1194#95—731no—
1195#95—731no—
1196#95—731no—
1197#95—731no—
1198#95—731no—
1199#95—731no—
1200#95—731no—
1201#95—731no—
1202#95—731no—
1203#95—731no—
1204#95—731no—
1205#95—731no—
1206#95—731no—
1207#95—731no—
1208#95—731no—
1209#95—731no—
1210#95—731no—
1211#95C22×D7311yescharacteristic
1212#95C22×D7311yescharacteristic
1213#95C22×D7311yescharacteristic
1214#95C22×D7311yescharacteristic
1215#95C22×D7311yescharacteristic
1216#95C22×D7311yescharacteristic
1217#95C22×D7311yescharacteristic
1218#95C22×D7311yescharacteristic
1219C24—2921no—
1220C24—2921no—
1221C24—2921no—
1222C24—2921no—
1223C24—731no—
1224C24—731no—
1225C24—1462no—
1226C24—1462no—
1227C24—1462no—
1228C24C23×D7311yescharacteristic
1229C24C23×D7311yescharacteristic
1230C24C23×D7311yescharacteristic
1231C24C23×D7311yescharacteristic
1232C2×Q8—2921no—
1233C2×Q8—2921no—
1234C2×Q8—2921no—
1235C2×Q8—2921no—
1236C2×Q8—1462no—
1237C2×Q8—1462no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—2921no—
1256C2×D4—2921no—
1257C2×D4—2921no—
1258C2×D4—2921no—
1259C2×D4—2921no—
1260C2×D4—2921no—
1261C2×D4—2921no—
1262C2×D4—2921no—
1263C2×D4—2921no—
1264C2×D4—2921no—
1265C2×D4—2921no—
1266C2×D4—2921no—
1267C2×D4—1462no—
1268C2×D4—1462no—
1269C2×D4—1462no—
1270C2×D4—1462no—
1271C2×D4—1462no—
1272C2×D4—1462no—
1273C2×D4D4×D7314yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
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—734no—
1296C22×C4—734no—
1297C22×C4—731no—
1298C22×C4—731no—
1299C22×C4—731no—
1300C22×C4—731no—
1301C22×C4—731no—
1302C22×C4—731no—
1303C22×C4—731no—
1304C22×C4—731no—
1305C22×C4—731no—
1306C22×C4—731no—
1307C22×C4—731no—
1308C22×C4—731no—
1309C22×C4—731no—
1310C22×C4—731no—
1311C22×C4—1462no—
1312C22×C4—1462no—
1313C22×C4—1462no—
1314C22×C4—1462no—
1315C22×C4—1462no—
1316C22×C4—1462no—
1317C22×C4—1462no—
1318C22×C4—1462no—
1319C22×C4—1462no—
1320C22×C4#1192402714yes—
1321C22×C4C23×D7311yescharacteristic
1322C22×C4C23×D7311yescharacteristic
1323C22×C4C23×D7311yescharacteristic
1324C22×C4C23×D7311yescharacteristic
1325C22×C4C23×D7311yescharacteristic
1326C22×C4C23×D7311yescharacteristic
1327C22×C4C23×D7311yescharacteristic
1328C22×C4C23×D7311yescharacteristic
1329C22×C4C23×D7311yescharacteristic
1330C22×C4C23×D7311yescharacteristic
1331C22×C4C23×D7311yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—2921no—
1337C4⋊C4—2921no—
1338C4⋊C4—2921no—
1339C4⋊C4—2921no—
1340C4⋊C4—2921no—
1341C4⋊C4—2921no—
1342C4⋊C4—734no—
1343C4⋊C4—1462no—
1344C4⋊C4—1462no—
1345C4⋊C4—1462no—
1346C4⋊C4—1462no—
1347C4⋊C4—1462no—
1348C4⋊C4—1462no—
1349C4⋊C4—1462no—
1350C4⋊C4—1462no—
1351C4⋊C4—1462no—
1352C4⋊C4—1462no—
1353C4⋊C4—1462no—
1354C4⋊C4—1462no—
1355C4⋊C4—1462no—
1356C4⋊C4—1462no—
1357C4⋊C4—1462no—
1358C4⋊C4—1462no—
1359C4⋊C4—1462no—
1360C4⋊C4—1462no—
1361C4⋊C4—1462no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—2921no—
1375C22⋊C4—2921no—
1376C22⋊C4—2921no—
1377C22⋊C4—2921no—
1378C22⋊C4—2921no—
1379C22⋊C4—2921no—
1380C22⋊C4—2921no—
1381C22⋊C4—2921no—
1382C22⋊C4—734no—
1383C22⋊C4—734no—
1384C22⋊C4—734no—
1385C22⋊C4—1462no—
1386C22⋊C4—1462no—
1387C22⋊C4—1462no—
1388C22⋊C4—1462no—
1389C22⋊C4—1462no—
1390C22⋊C4—1462no—
1391C22⋊C4—1462no—
1392C22⋊C4—1462no—
1393C22⋊C4—1462no—
1394C22⋊C4—1462no—
1395C22⋊C4—1462no—
1396C22⋊C4—1462no—
1397C22⋊C4—1462no—
1398C22⋊C4—1462no—
1399C22⋊C4—1462no—
1400C22⋊C4—1462no—
1401C22⋊C4—1462no—
1402C22⋊C4—1462no—
1403C22⋊C4—1462no—
1404C22⋊C4—1462no—
1405C22⋊C4—1462no—
1406C22⋊C4—1462no—
1407C22⋊C4—1462no—
1408C22⋊C4—1462no—
1409C22⋊C4—1462no—
1410C22⋊C4—1462no—
1411C22⋊C4—1462no—
1412C22⋊C4—1462no—
1413C22⋊C4—1462no—
1414C42—22no—
1415C42—2921no—
1416C42—2921no—
1417C42—2921no—
1418C42—2921no—
1419C42—2921no—
1420C42—2921no—
1421C42—2921no—
1422C42—734no—
1423C42—1462no—
1424C42—1462no—
1425C42—1462no—
1426C42—1462no—
1427C42—1462no—
1428C42—1462no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—2924no—
1454C23—2924no—
1455C23—2924no—
1456C23—5842no—
1457C23—5842no—
1458C23—5842no—
1459C23—5842no—
1460C23—1461no—
1461C23—1461no—
1462C23—1461no—
1463C23—1461no—
1464C23—1461no—
1465C23—1461no—
1466C23—1461no—
1467C23—1461no—
1468C23—1461no—
1469C23—1461no—
1470C23—1461no—
1471C23—1461no—
1472C23—1461no—
1473C23—1461no—
1474C23C2×D4×D7312yes—
1475C23C2×D4×D7312yes—
1476C23#41×D7312yes—
1477C23C2×#1192402712yes—
1478C23C24×D7311yescharacteristic
1479Q8—5842no—
1480Q8—5842no—
1481D4—28no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—82no—
1486D4—82no—
1487D4—5842no—
1488D4—5842no—
1489D4—5842no—
1490D4—5842no—
1491D4—5842no—
1492D4—5842no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—2924no—
1528C2×C4—2924no—
1529C2×C4—2924no—
1530C2×C4—2924no—
1531C2×C4—2924no—
1532C2×C4—5842no—
1533C2×C4—5842no—
1534C2×C4—732no—
1535C2×C4—732no—
1536C2×C4—732no—
1537C2×C4—732no—
1538C2×C4—732no—
1539C2×C4—732no—
1540C2×C4—732no—
1541C2×C4—1461no—
1542C2×C4—1461no—
1543C2×C4—1461no—
1544C2×C4—1461no—
1545C2×C4—1461no—
1546C2×C4—1461no—
1547C2×C4—1461no—
1548C2×C4—1461no—
1549C2×C4—1461no—
1550C2×C4—1461no—
1551C2×C4—1461no—
1552C2×C4—1461no—
1553C2×C4—1461no—
1554C2×C4—1461no—
1555C2×C4—1461no—
1556C2×C4—1461no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4—1461no—
1567C2×C4—1461no—
1568C2×C4—1461no—
1569C2×C4—1461no—
1570C2×C4—1461no—
1571C2×C4—1461no—
1572C2×C4—1461no—
1573C2×C4—1461no—
1574C2×C4—1461no—
1575C2×C4—1461no—
1576C2×C4C2×D4×D7312yes—
1577C2×C4C2×#1192402712yes—
1578C2×C4C2×#1192402712yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—2921no—
1607C22—2921no—
1608C22—2921no—
1609C22—2921no—
1610C22—2921no—
1611C22—2921no—
1612C22—2921no—
1613C22—2921no—
1614C22—2921no—
1615C22—2921no—
1616C22—2921no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—5848no—
1621C22#1798913214yes—
1622C22C22×D4×D7311yescharacteristic
1623C22C2×#41×D7311yescharacteristic
1624C22C22×#1192402711yescharacteristic
1625C22H(5,𝔽2)×D7311yescharacteristic
1626C22#1798942211yescharacteristic
1627C22#1798942311yescharacteristic
1628C22#1798942311yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—2921no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—1462no—
1648C4—1462no—
1649C4—1462no—
1650C4—1462no—
1651C4—1462no—
1652C4—1462no—
1653C4—1462no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—5841no—
1659C2—5841no—
1660C2C2×#1798913211yescharacteristic
1661C2#2262332011yescharacteristic
1662C2#2262333711yescharacteristic
1663C2#2262369111yescharacteristic
1664C2#2262371711yescharacteristic
1665C2#2262386211yescharacteristic
1666C2#2262399011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2543C2
hypercenter#2543D73
hypocenterC73#35009
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. C2×#17989182C2semidirect
2. C2×#17989174C2semidirect
3. #22618300C2semidirect
4. #22618297C2semidirect
5. #22618259C2semidirect
6. #22618228C2semidirect
7. #22616089C2semidirect
8. #22616080C2semidirect
9. #22616067C2semidirect
10. #22616056C2semidirect
11. #22615072C2semidirect
12. #22615057C2semidirect
13. #22615042C2semidirect
14. #22615027C2semidirect
15. #22614942C2semidirect
16. #22614863C2semidirect
17. #22614817C2semidirect
18. #22614627C2semidirect
19. #22614597C2semidirect
20. #22614255C2semidirect
21. #22614062C2semidirect
22. #22613930C2semidirect
23. #22613891C2semidirect
24. #22613488C2semidirect
25. #22613473C2semidirect
26. #22612605C2semidirect
27. #22612594C2semidirect
28. #121×Dic73C2semidirect
29. C2×#17988476C2semidirect
30. C4×D4×Dic73C2semidirect
31. C73×#2543C2semidirect
36. C2×#14556584C22semidirect
37. C2×#14556584C22semidirect
38. C2×#14556581C22semidirect
39. C2×#14556581C22semidirect
48. C2×#14556572C22semidirect
49. C2×#14556572C22semidirect
52. C2×#14556568C22semidirect
53. C2×#14556568C22semidirect
64. C2×D4×Dic73C22semidirect
70. C22×C4×Dic73C22semidirect
71. #17988529C22semidirect
72. #17988528C22semidirect
75. #17988521C22semidirect
76. #17988521C22semidirect
77. #17988520C22semidirect
79. #17988515C22semidirect
80. #17988515C22semidirect
81. #17988510C22semidirect
85. #17988508C22semidirect
86. #17988508C22semidirect
93. #17988501C22semidirect
95. #17988499C22semidirect
99. #17988491C22semidirect
100. #17988491C22semidirect
101. #17988491C22semidirect
102. #17988490C22semidirect
111. #17988486C22semidirect
112. #17988484C22semidirect
113. #17988484C22semidirect
114. #17988484C22semidirect
115. #17988484C22semidirect
116. #17988482C22semidirect
117. #17988481C22semidirect
118. #17988480C22semidirect
119. #17988480C22semidirect
120. #17988480C22semidirect
138. #17988475C22semidirect
139. #17988475C22semidirect
140. #17988475C22semidirect
141. #17988469C22semidirect
142. #17988469C22semidirect
145. #17988467C22semidirect
153. #17988459C22semidirect
154. #17988459C22semidirect
155. #17988451C22semidirect
158. #17988445C22semidirect
160. C4⋊C4×Dic73C22semidirect
161. C4⋊C4×Dic73C22semidirect
162. C4⋊C4×Dic73C22semidirect
163. C4×C4⋊Dic73C22semidirect
166. C22⋊C4×Dic73C22semidirect
167. C22⋊C4×Dic73C22semidirect
168. C22⋊C4×Dic73C22semidirect
169. C22⋊C4×Dic73C22semidirect
171. C4×C22⋊Dic73C22semidirect
173. C42×Dic73C22semidirect
178. #398×C73C22semidirect
179. #397×C73C22semidirect
180. #394×C73C22semidirect
181. #392×C73C22semidirect
182. #388×C73C22semidirect
183. #388×C73C22semidirect
186. #386×C73C22semidirect
187. #386×C73C22semidirect
235. D4×Dic73D4semidirect
849. #2543D73semidirect
865. C73#35009semidirect
916. #398C2×D73semidirect
920. #397C2×D73semidirect
934. #394C2×D73semidirect
940. #392C2×D73semidirect
983. #388C2×D73semidirect
984. #388C2×D73semidirect
997. #386C2×D73semidirect
998. #386C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891822
C2×#179891742
#226183002
#226182972
#226182592
#226182282
#226160892
#226160802
#226160672
#226160562
#226150722
#226150572
#226150422
#226150272
#226149422
#226148632
#226148172
#226146272
#226145972
#226142552
#226140622
#226139302
#226138912
#226134882
#226134732
#226126052
#226125942
#121×Dic732
C2×#179884762
C4×D4×Dic732
C73×#25432
#3500973