Finite Group Databasebeta

← #33259000

Subgroups — #33259000

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×#17989184C211yesmaximal, characteristic, complemented
2C2×#17989170C211yesmaximal, characteristic, complemented
3#22618300C211yesmaximal, characteristic, complemented
4#22618299C211yesmaximal, characteristic, complemented
5#22618264C211yesmaximal, characteristic, complemented
6#22618229C211yesmaximal, characteristic, complemented
7#22616094C211yesmaximal, characteristic, complemented
8#22616085C211yesmaximal, characteristic, complemented
9#22616074C211yesmaximal, characteristic, complemented
10#22616063C211yesmaximal, characteristic, complemented
11#22615081C211yesmaximal, characteristic, complemented
12#22615064C211yesmaximal, characteristic, complemented
13#22615049C211yesmaximal, characteristic, complemented
14#22615036C211yesmaximal, characteristic, complemented
15#22614944C211yesmaximal, characteristic, complemented
16#22614895C211yesmaximal, characteristic, complemented
17#22614861C211yesmaximal, characteristic, complemented
18#22614826C211yesmaximal, characteristic, complemented
19#22614633C211yesmaximal, characteristic, complemented
20#22614609C211yesmaximal, characteristic, complemented
21#22614253C211yesmaximal, characteristic, complemented
22#22614062C211yesmaximal, characteristic, complemented
23#22613944C211yesmaximal, characteristic, complemented
24#22613895C211yesmaximal, characteristic, complemented
25#22613478C211yesmaximal, characteristic, complemented
26#22613465C211yesmaximal, characteristic, complemented
27#22612591C211yesmaximal, characteristic, complemented
28C4×#14556563C211yesmaximal, characteristic, complemented
29C2×#17988477C211yesmaximal, characteristic, complemented
30C4×#14556551C211yesmaximal, characteristic, complemented
31C73×#2322C211yesmaximal, characteristic, complemented
32#17989184—28no—
33#17989170—28no—
34C2×#14556586C2211yescharacteristic
35C2×#14556586C2211yescharacteristic, complemented
36C2×#14556586C2211yescharacteristic, complemented
37C2×#14556585C2211yescharacteristic
38C2×#14556581C2211yescharacteristic, complemented
39C2×#14556581C2211yescharacteristic, complemented
40C2×#14556579C2211yescharacteristic
41C2×#14556577C2211yescharacteristic
42C2×#14556577C2211yescharacteristic
43C2×#14556576C2211yescharacteristic
44C2×#14556576C2211yescharacteristic, complemented
45C2×#14556576C2211yescharacteristic, complemented
46C2×#14556574C2211yescharacteristic
47C2×#14556574C2211yescharacteristic
48C2×#14556574C2211yescharacteristic
49C2×#14556570C2211yescharacteristic
50C2×#14556569C2211yescharacteristic, complemented
51C2×#14556569C2211yescharacteristic, complemented
52C2×#14556568C2211yescharacteristic
53C2×#14556566C2211yescharacteristic
54C2×#14556565C2211yescharacteristic
55C2×#14556565C2211yescharacteristic
56C2×#14556564C2211yescharacteristic
57C2×#14556563C2211yescharacteristic
58C2×#14556563C2211yescharacteristic
59C2×#14556561C2211yescharacteristic
60C2×#14556561C2211yescharacteristic
61C2×#14556559C2211yescharacteristic
62C2×C4×C22⋊D73C2211yescharacteristic
63C2×C4×C22⋊D73C2211yescharacteristic
64C2×C4×C22⋊D73C2211yescharacteristic, complemented
65C2×#14556551C2211yescharacteristic
66C2×#14556551C2211yescharacteristic
67C22×#11924005C2211yescharacteristic
68C22×#11924005C2211yescharacteristic
69C22×#11924005C2211yescharacteristic
70C22×C4×Dic73C2211yescharacteristic
71C2×C42×D73C2211yescharacteristic, complemented
72#17988529C2211yescharacteristic, complemented
73#17988528C2211yescharacteristic, complemented
74#17988522C2211yescharacteristic
75#17988522C2211yescharacteristic
76#17988521C2211yescharacteristic, complemented
77#17988521C2211yescharacteristic, complemented
78#17988520C2211yescharacteristic, complemented
79#17988518C2211yescharacteristic, complemented
80#17988516C2211yescharacteristic
81#17988516C2211yescharacteristic, complemented
82#17988516C2211yescharacteristic, complemented
83#17988513C2211yescharacteristic, complemented
84#17988511C2211yescharacteristic
85#17988511C2211yescharacteristic
86#17988510C2211yescharacteristic, complemented
87#17988509C2211yescharacteristic
88#17988508C2211yescharacteristic, complemented
89#17988507C2211yescharacteristic, complemented
90#17988505C2211yescharacteristic
91#17988505C2211yescharacteristic
92#17988505C2211yescharacteristic
93#17988504C2211yescharacteristic
94#17988503C2211yescharacteristic
95#17988503C2211yescharacteristic, complemented
96#17988502C2211yescharacteristic
97#17988502C2211yescharacteristic, complemented
98#17988500C2211yescharacteristic
99#17988500C2211yescharacteristic, complemented
100#17988497C2211yescharacteristic
101#17988496C2211yescharacteristic
102#17988496C2211yescharacteristic
103#17988496C2211yescharacteristic, complemented
104#17988491C2211yescharacteristic, complemented
105#17988491C2211yescharacteristic, complemented
106#17988491C2211yescharacteristic, complemented
107#17988489C2211yescharacteristic
108#17988489C2211yescharacteristic
109#17988488C2211yescharacteristic
110#17988488C2211yescharacteristic
111#17988488C2211yescharacteristic
112#17988487C2211yescharacteristic
113#17988487C2211yescharacteristic
114#17988487C2211yescharacteristic
115#17988487C2211yescharacteristic, complemented
116#17988486C2211yescharacteristic, complemented
117#17988483C2211yescharacteristic, complemented
118#17988483C2211yescharacteristic, complemented
119#17988482C2211yescharacteristic, complemented
120#17988481C2211yescharacteristic, complemented
121#17988480C2211yescharacteristic, complemented
122#17988479C2211yescharacteristic
123#17988479C2211yescharacteristic
124#17988479C2211yescharacteristic
125#17988479C2211yescharacteristic
126#17988479C2211yescharacteristic, complemented
127#17988478C2211yescharacteristic
128#17988478C2211yescharacteristic
129#17988477C2211yescharacteristic
130#17988477C2211yescharacteristic
131#17988477C2211yescharacteristic
132#17988477C2211yescharacteristic
133#17988477C2211yescharacteristic
134#17988477C2211yescharacteristic
135#17988477C2211yescharacteristic
136#17988477C2211yescharacteristic
137#17988477C2211yescharacteristic, complemented
138#17988476C2211yescharacteristic
139#17988476C2211yescharacteristic
140#17988476C2211yescharacteristic
141#17988476C2211yescharacteristic, complemented
142#17988476C2211yescharacteristic, complemented
143#17988475C2211yescharacteristic, complemented
144#17988467C2211yescharacteristic
145#17988465C2211yescharacteristic
146#17988465C2211yescharacteristic
147#17988465C2211yescharacteristic
148#17988465C2211yescharacteristic
149#17988465C2211yescharacteristic
150#17988465C2211yescharacteristic, complemented
151#17988464C2211yescharacteristic
152#17988464C2211yescharacteristic
153#17988463C2211yescharacteristic, complemented
154#17988463C2211yescharacteristic, complemented
155#17988462C2211yescharacteristic
156#17988451C2211yescharacteristic, complemented
157#17988445C2211yescharacteristic
158#17988444C2211yescharacteristic, complemented
159#17988442C2211yescharacteristic
160C4×#11924007C2211yescharacteristic, complemented
161C4×#11924007C2211yescharacteristic, complemented
162#17988438C2211yescharacteristic, complemented
163#17988438C2211yescharacteristic, complemented
164C22⋊C4×Dic73C2211yescharacteristic
165C22⋊C4×Dic73C2211yescharacteristic
166C4×#11924005C2211yescharacteristic, complemented
167C4×#11924005C2211yescharacteristic, complemented
168C4×C22⋊Dic73C2211yescharacteristic, complemented
169#17988434C2211yescharacteristic, complemented
170#17988434C2211yescharacteristic, complemented
171C2×#14556498C2211yescharacteristic
172C2×#14556498C2211yescharacteristic
173C42×Dic73C2211yescharacteristic, complemented
174C2×#123×C73C2211yescharacteristic
175C2×C4×D4×C73C2211yescharacteristic
176C22×C4⋊C4×C73C2211yescharacteristic
177#389×C73C2211yescharacteristic, complemented
178#389×C73C2211yescharacteristic, complemented
179#388×C73C2211yescharacteristic, complemented
180#388×C73C2211yescharacteristic, complemented
181#387×C73C2211yescharacteristic, complemented
182#387×C73C2211yescharacteristic, complemented
183#386×C73C2211yescharacteristic
184#385×C73C2211yescharacteristic
185#385×C73C2211yescharacteristic, complemented
186#385×C73C2211yescharacteristic, complemented
187#381×C73C2211yescharacteristic
188C4×C22⋊C4×C73C2211yescharacteristic
189C24×D73C2311yescharacteristic
190C22×Dic146C2311yescharacteristic
191C22×Dic146C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C23×Dic73C2311yescharacteristic
204C23×Dic73C2311yescharacteristic
205C23×Dic73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
208C22×C4×D73C2311yescharacteristic
209C22×C4×D73C2311yescharacteristic
210#14556586—24no—
211#14556586—24no—
212#14556586—24no—
213#14556585—24no—
214#14556581—24no—
215#14556581—24no—
216#14556579—24no—
217#14556577—24no—
218#14556577—42no—
219#14556576—24no—
220#14556576—24no—
221#14556576—24no—
222#14556574—24no—
223#14556574—24no—
224#14556574—24no—
225#14556570—24no—
226#14556569—24no—
227#14556569—24no—
228#14556568—24no—
229#14556566—42no—
230#14556565—24no—
231#14556565—24no—
232#14556564—24no—
233#14556563—24no—
234#14556563—24no—
235#14556561—24no—
236#14556561—24no—
237#14556559—24no—
238C4×C22⋊D73—24no—
239C4×C22⋊D73—42no—
240C4×C22⋊D73D418yescomplemented
241#14556551—24no—
242#14556551—24no—
243C2×C4⋊Dic73C2311yescharacteristic
244C2×C4⋊Dic73C2311yescharacteristic
245C2×C4⋊Dic73C2311yescharacteristic
246C2×C4⋊Dic73C2311yescharacteristic
247C2×C4⋊Dic73C2311yescharacteristic
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×#11924007C2311yescharacteristic
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×C22⋊Dic73C2311yescharacteristic
267C2×C22⋊Dic73C2311yescharacteristic
268C2×C22⋊Dic73C2311yescharacteristic
269C2×C22⋊Dic73C2311yescharacteristic
270C2×#11924005—24no—
271C2×#11924005—24no—
272C2×#11924005—42no—
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
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C2×#11924005C2311yescharacteristic
308C2×#11924005C2311yescharacteristic
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×C4×Dic73—42no—
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
322C2×C4×Dic73C2311yescharacteristic
323C2×C4×Dic73C2311yescharacteristic
324C42×D73—42no—
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
346#14556498C2311yescharacteristic
347C22×D4×C73C2311yescharacteristic
348C23×C4×C73C2311yescharacteristic
349C23×C4×C73C2311yescharacteristic
350C23×C4×C73C2311yescharacteristic
351C23×C4×C73C2311yescharacteristic
352#123×C73—24no—
353C4×D4×C73—24no—
354C2×C4⋊C4×C73—24no—
355C2×C4⋊C4×C73C2311yescharacteristic
356C2×C4⋊C4×C73C2311yescharacteristic
357C2×C4⋊C4×C73C2311yescharacteristic
358C2×C4⋊C4×C73C2311yescharacteristic
359C2×C4⋊C4×C73C2311yescharacteristic
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×C42×C73C2311yescharacteristic
373C2×C42×C73C2311yescharacteristic
374C2×C42×C73C2311yescharacteristic
375#95×C73C2311yescharacteristic
376#95×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
394C23×D73C2411yescharacteristic
395C23×D73C2411yescharacteristic
396C2×Dic146—22no—
397C2×Dic146—22no—
398C2×Dic146—41no—
399C2×Dic146—41no—
400C2×Dic146—41no—
401C2×Dic146—41no—
402C2×D292—22no—
403C2×D292—22no—
404C2×D292—22no—
405C2×D292—22no—
406C2×D292—22no—
407C2×D292—41no—
408C2×D292—41no—
409C2×D292—41no—
410C2×D292—41no—
411C2×D292—41no—
412C2×D292—41no—
413C2×D292—41no—
414C2×D292—41no—
415C2×D292—41no—
416C2×D292—41no—
417C2×C22⋊D73—22no—
418C2×C22⋊D73—22no—
419C2×C22⋊D73—22no—
420C2×C22⋊D73—22no—
421C2×C22⋊D73—22no—
422C2×C22⋊D73—22no—
423C2×C22⋊D73—22no—
424C2×C22⋊D73—22no—
425C2×C22⋊D73—22no—
426C2×C22⋊D73—41no—
427C2×C22⋊D73—41no—
428C2×C22⋊D73—41no—
429C2×C22⋊D73—41no—
430C2×C22⋊D73—41no—
431C2×C22⋊D73—41no—
432C2×C22⋊D73—41no—
433C2×C22⋊D73—41no—
434C2×C22⋊D73C2×D414yes—
435C22×Dic73—22no—
436C22×Dic73—22no—
437C22×Dic73—22no—
438C22×Dic73—41no—
439C22×Dic73—41no—
440C22×Dic73—41no—
441C22×Dic73—41no—
442C22×Dic73—41no—
443C22×Dic73#4114yes—
444C22×Dic73C2411yescharacteristic
445C22×Dic73C2411yescharacteristic
446C22×Dic73C2411yescharacteristic
447C22×Dic73C2411yescharacteristic
448C22×Dic73C2411yescharacteristic
449C22×Dic73C2411yescharacteristic
450C22×Dic73C2411yescharacteristic
451C22×Dic73C2411yescharacteristic
452C22×Dic73C2411yescharacteristic
453C22×Dic73C2411yescharacteristic
454C22×Dic73C2411yescharacteristic
455C22×Dic73C2411yescharacteristic
456C2×C4×D73—22no—
457C2×C4×D73—22no—
458C2×C4×D73—22no—
459C2×C4×D73—22no—
460C2×C4×D73—41no—
461C2×C4×D73—41no—
462C2×C4×D73—41no—
463C2×C4×D73—41no—
464C2×C4×D73—41no—
465C2×C4×D73—41no—
466C2×C4×D73—41no—
467C2×C4×D73C2×D414yes—
468C4⋊Dic73—22no—
469C4⋊Dic73—22no—
470C4⋊Dic73—22no—
471C4⋊Dic73—41no—
472C4⋊Dic73—41no—
473#11924007—22no—
474#11924007—22no—
475#11924007—22no—
476#11924007—22no—
477#11924007—22no—
478#11924007—22no—
479#11924007—22no—
480#11924007—22no—
481#11924007—22no—
482#11924007—22no—
483#11924007—22no—
484#11924007—22no—
485#11924007—22no—
486#11924007—41no—
487#11924007—41no—
488#11924007C2×D414yes—
489C22⋊Dic73—22no—
490C22⋊Dic73—22no—
491C22⋊Dic73—22no—
492C22⋊Dic73—22no—
493C22⋊Dic73—41no—
494C22⋊Dic73C2×D414yes—
495#11924005—22no—
496#11924005—22no—
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—22no—
514#11924005—22no—
515#11924005—22no—
516#11924005—22no—
517#11924005—22no—
518#11924005—22no—
519#11924005—22no—
520#11924005—22no—
521#11924005—22no—
522#11924005—22no—
523#11924005—41no—
524#11924005—41no—
525#11924005—41no—
526#11924005—41no—
527#11924005—41no—
528#11924005—41no—
529#11924005—41no—
530#11924005—41no—
531#11924005—41no—
532#11924005C2×D414yes—
533C4×Dic73—22no—
534C4×Dic73—22no—
535C4×Dic73—22no—
536C4×Dic73—22no—
537C4×Dic73—22no—
538C4×Dic73—22no—
539C4×Dic73—41no—
540C4×Dic73—41no—
541C4×Dic73—41no—
542C4×Dic73—41no—
543C4×Dic73—41no—
544C4×Dic73C2×D414yes—
545C24×C73C2411yescharacteristic
546C24×C73C2411yescharacteristic
547C2×D4×C73—22no—
548C2×D4×C73—22no—
549C2×D4×C73—22no—
550C22×C4×C73—22no—
551C22×C4×C73—22no—
552C22×C4×C73—22no—
553C22×C4×C73—22no—
554C22×C4×C73—22no—
555C22×C4×C73—41no—
556C22×C4×C73—41no—
557C22×C4×C73—41no—
558C22×C4×C73—41no—
559C22×C4×C73—41no—
560C22×C4×C73—41no—
561C22×C4×C73C2×D414yes—
562C22×C4×C73C2411yescharacteristic
563C22×C4×C73C2411yescharacteristic
564C22×C4×C73C2411yescharacteristic
565C22×C4×C73C2411yescharacteristic
566C22×C4×C73C2411yescharacteristic
567C22×C4×C73C2411yescharacteristic
568C22×C4×C73C2411yescharacteristic
569C22×C4×C73C2411yescharacteristic
570C22×C4×C73C2411yescharacteristic
571C22×C4×C73C2411yescharacteristic
572C22×C4×C73C2411yescharacteristic
573C22×C4×C73C2411yescharacteristic
574C22×C4×C73C2411yescharacteristic
575C4⋊C4×C73—22no—
576C4⋊C4×C73—22no—
577C4⋊C4×C73—22no—
578C4⋊C4×C73—22no—
579C4⋊C4×C73—22no—
580C4⋊C4×C73—22no—
581C4⋊C4×C73—22no—
582C4⋊C4×C73—41no—
583C4⋊C4×C73—41no—
584C22⋊C4×C73—22no—
585C22⋊C4×C73—22no—
586C22⋊C4×C73—22no—
587C22⋊C4×C73—22no—
588C22⋊C4×C73—22no—
589C22⋊C4×C73—41no—
590C22⋊C4×C73—41no—
591C22⋊C4×C73#4114yes—
592C42×C73—22no—
593C42×C73—41no—
594C42×C73—41no—
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×C73C22×D412yes—
607C23×C73C2×#4112yes—
608C23×C73C2×#4112yes—
609C23×C73C2511yescharacteristic
610C22×D73—21no—
611C22×D73—21no—
612C22×D73—21no—
613C22×D73—21no—
614C22×D73—21no—
615C22×D73—21no—
616C22×D73—21no—
617C22×D73—21no—
618C22×D73—21no—
619C22×D73—21no—
620C22×D73—21no—
621C22×D73—21no—
622C22×D73—21no—
623C22×D73—21no—
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—44no—
638C22×D73—44no—
639C22×D73—44no—
640C22×D73—82no—
641C22×D73—82no—
642C22×D73—82no—
643C22×D73—82no—
644C22×D73C22×D412yes—
645D4×C73—44no—
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—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×C73C22×D412yes—
687C2×C4×C73C2×#4112yes—
688C2×C4×C73C2×#4112yes—
689C22⋊D73—28no—
690C22⋊D73—44no—
691C22⋊D73—44no—
692C22⋊D73—82no—
693C22⋊D73—82no—
694C22⋊D73—82no—
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—44no—
726C2×Dic73—44no—
727C2×Dic73—82no—
728C2×Dic73C22×D412yes—
729C2×Dic73C22×D412yes—
730C2×Dic73C22×D412yes—
731C2×Dic73C2×#4112yes—
732C2×Dic73C2×#4112yes—
733C2×Dic73H(5,𝔽2)12yes—
734D292—82no—
735D292—82no—
736D292—82no—
737D292—82no—
738D292—82no—
739C4×D73—44no—
740C4×D73—44no—
741C4×D73—44no—
742C4×D73—82no—
743Dic146—82no—
744Dic146—82no—
745C22×C73—22no—
746C22×C73—22no—
747C22×C73—22no—
748C22×C73—22no—
749C22×C73—22no—
750C22×C73—22no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73—41no—
758C22×C73#53214yes—
759C22×C73C23×D411yescharacteristic
760C22×C73C22×#4111yescharacteristic
761C22×C73C22×#4111yescharacteristic
762C22×C73C2×H(5,𝔽2)11yescharacteristic
763C22×C73#58511yescharacteristic
764C22×C73#58511yescharacteristic
765C22×C73#58511yescharacteristic
766C2×D73—22no—
767C2×D73—22no—
768C2×D73—22no—
769C2×D73—41no—
770C2×D73—41no—
771C2×D73—41no—
772C2×D73—41no—
773C2×D73—41no—
774C2×D73—41no—
775C2×D73—41no—
776C2×D73—41no—
777C2×D73—41no—
778C2×D73—41no—
779C2×D73—41no—
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—22no—
799C4×C73—41no—
800C4×C73—41no—
801C4×C73—41no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808Dic73—22no—
809Dic73—22no—
810Dic73—22no—
811Dic73—22no—
812Dic73—22no—
813Dic73—22no—
814Dic73—41no—
815Dic73—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820#35009—731nomaximal, Sylow
821C2×C73—24no—
822C2×C73—81no—
823C2×C73C2×#53211yescharacteristic
824C2×C73#345511yescharacteristic
825C2×C73#345911yescharacteristic
826C2×C73#349611yescharacteristic
827C2×C73#350011yescharacteristic
828C2×C73#351311yescharacteristic
829C2×C73#352111yescharacteristic
830D73—42no—
831D73—81no—
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#2543—731no—
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#2322D7311yescharacteristic, complemented
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×#123C2×D7311yescharacteristic
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×#121—731no—
892C2×#121—731no—
893C2×#121—731no—
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⋊C4C2×D7311yescharacteristic
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#398—731no—
917#397—731no—
918#397—731no—
919#397—731no—
920#397—731no—
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#394—731no—
935#393—731no—
936#393—731no—
937#392—731no—
938#392—731no—
939#392—731no—
940#392—731no—
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#389C2×D7311yescharacteristic, complemented
958#389C2×D7311yescharacteristic, complemented
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#387C2×D7311yescharacteristic, complemented
986#387C2×D7311yescharacteristic, complemented
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#386—731no—
996#386—731no—
997#386—731no—
998#386C2×D7311yescharacteristic
999#385—731no—
1000#385C2×D7311yescharacteristic
1001#385C2×D7311yescharacteristic, complemented
1002#385C2×D7311yescharacteristic, complemented
1003#382—731no—
1004#381C2×D7311yescharacteristic
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⋊C4C2×D7311yescharacteristic
1020C2×#95—731no—
1021C2×#95—731no—
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×D4—731no—
1033C22×D4—731no—
1034C22×D4—731no—
1035C22×D4—731no—
1036C22×D4—731no—
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—24no—
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—2922no—
1070#121—1464no—
1071#121—1464no—
1072#121—1464no—
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—24no—
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⋊C4C22×D7311yescharacteristic
1107C2×C4⋊C4C22×D7311yescharacteristic
1108C2×C4⋊C4C22×D7311yescharacteristic
1109C2×C4⋊C4C22×D7311yescharacteristic
1110C2×C4⋊C4C22×D7311yescharacteristic
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—731no—
1157C2×C22⋊C4—731no—
1158C2×C22⋊C4—731no—
1159C2×C22⋊C4—731no—
1160C2×C22⋊C4—1464no—
1161C2×C22⋊C4—1464no—
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×C42C22×D7311yescharacteristic
1185C2×C42C22×D7311yescharacteristic
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#95C22×D7311yescharacteristic
1210#95C22×D7311yescharacteristic
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—731no—
1226C24—731no—
1227C24—1462no—
1228C24—1462no—
1229C24—1462no—
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—2921no—
1242C2×D4—2921no—
1243C2×D4—2921no—
1244C2×D4—2921no—
1245C2×D4—2921no—
1246C2×D4—2921no—
1247C2×D4—2921no—
1248C2×D4—2921no—
1249C2×D4—2921no—
1250C2×D4—2921no—
1251C2×D4—2921no—
1252C2×D4—2921no—
1253C2×D4—2921no—
1254C2×D4—2921no—
1255C2×D4—2921no—
1256C2×D4—2921no—
1257C2×D4—2921no—
1258C2×D4—2921no—
1259C2×D4—734no—
1260C2×D4—1462no—
1261C2×D4—1462no—
1262C2×D4—1462no—
1263C2×D4—1462no—
1264C2×D4—1462no—
1265C2×D4—1462no—
1266C2×D4—1462no—
1267C2×D4—1462no—
1268C2×D4—1462no—
1269C2×D4—1462no—
1270C2×D4—1462no—
1271C2×D4—1462no—
1272C2×D4—1462no—
1273C2×D4—1462no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
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—2921no—
1296C22×C4—2921no—
1297C22×C4—734no—
1298C22×C4—734no—
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×C4D4×D7314yes—
1319C22×C4C23×D7311yescharacteristic
1320C22×C4C23×D7311yescharacteristic
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—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—2921no—
1342C4⋊C4—2921no—
1343C4⋊C4—2921no—
1344C4⋊C4—2921no—
1345C4⋊C4—734no—
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—41no—
1368C22⋊C4—41no—
1369C22⋊C4—2921no—
1370C22⋊C4—2921no—
1371C22⋊C4—2921no—
1372C22⋊C4—2921no—
1373C22⋊C4—2921no—
1374C22⋊C4—2921no—
1375C22⋊C4—2921no—
1376C22⋊C4—2921no—
1377C22⋊C4—2921no—
1378C22⋊C4—2921no—
1379C22⋊C4—734no—
1380C22⋊C4—734no—
1381C22⋊C4—1462no—
1382C22⋊C4—1462no—
1383C22⋊C4—1462no—
1384C22⋊C4—1462no—
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#1192402814yes—
1414C42—22no—
1415C42—41no—
1416C42—41no—
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—2924no—
1441C23—2924no—
1442C23—2924no—
1443C23—5842no—
1444C23—5842no—
1445C23—5842no—
1446C23—5842no—
1447C23—732no—
1448C23—1461no—
1449C23—1461no—
1450C23—1461no—
1451C23—1461no—
1452C23—1461no—
1453C23—1461no—
1454C23—1461no—
1455C23—1461no—
1456C23—1461no—
1457C23—1461no—
1458C23—1461no—
1459C23—1461no—
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—
1474C23—1461no—
1475C23C2×D4×D7312yes—
1476C23#41×D7312yes—
1477C23C2×#1192402812yes—
1478C23C24×D7311yescharacteristic
1479Q8—5842no—
1480Q8—5842no—
1481D4—44no—
1482D4—2924no—
1483D4—2924no—
1484D4—5842no—
1485D4—5842no—
1486D4—5842no—
1487D4—5842no—
1488D4—5842no—
1489D4—5842no—
1490D4—5842no—
1491D4—5842no—
1492D4—1468no—
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—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—2924no—
1533C2×C4—2924no—
1534C2×C4—2924no—
1535C2×C4—2924no—
1536C2×C4—2924no—
1537C2×C4—5842no—
1538C2×C4—5842no—
1539C2×C4—732no—
1540C2×C4—732no—
1541C2×C4—732no—
1542C2×C4—732no—
1543C2×C4—732no—
1544C2×C4—732no—
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×C4C2×D4×D7312yes—
1576C2×C4C2×D4×D7312yes—
1577C2×C4C2×#1192402812yes—
1578C2×C4C2×#1192402812yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—2921no—
1593C22—2921no—
1594C22—2921no—
1595C22—2921no—
1596C22—2921no—
1597C22—2921no—
1598C22—2921no—
1599C22—2921no—
1600C22—2921no—
1601C22—2921no—
1602C22—2921no—
1603C22—2921no—
1604C22—2921no—
1605C22—2921no—
1606C22—2921no—
1607C22—2921no—
1608C22—2921no—
1609C22—2921no—
1610C22—2921no—
1611C22—2921no—
1612C22—2921no—
1613C22—2921no—
1614C22—2921no—
1615C22—2921no—
1616C22—2921no—
1617C22—5848no—
1618C22—1462no—
1619C22—1462no—
1620C22—1462no—
1621C22#1798913414yes—
1622C22C22×D4×D7311yescharacteristic
1623C22C2×#41×D7311yescharacteristic
1624C22C22×#1192402811yescharacteristic
1625C22H(5,𝔽2)×D7311yescharacteristic
1626C22#1798942211yescharacteristic
1627C22#1798942411yescharacteristic
1628C22#1798942411yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1462no—
1649C4—1462no—
1650C4—1462no—
1651C4—1462no—
1652C4—1462no—
1653C4—1462no—
1654C2—24no—
1655C2—81no—
1656C2—2922no—
1657C2—5841no—
1658C2—5841no—
1659C2—5841no—
1660C2C2×#1798913411yescharacteristic
1661C2#2262331711yescharacteristic
1662C2#2262333911yescharacteristic
1663C2#2262369211yescharacteristic
1664C2#2262372011yescharacteristic
1665C2#2262387311yescharacteristic
1666C2#2262400111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2322C2
hypercenter#2322D73
hypocenterC73#35009
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2322

Complements

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

NH ≅ G/Ntype
1. C2×#17989184C2semidirect
2. C2×#17989170C2semidirect
3. #22618300C2semidirect
4. #22618299C2semidirect
5. #22618264C2semidirect
6. #22618229C2semidirect
7. #22616094C2semidirect
8. #22616085C2semidirect
9. #22616074C2semidirect
10. #22616063C2semidirect
11. #22615081C2semidirect
12. #22615064C2semidirect
13. #22615049C2semidirect
14. #22615036C2semidirect
15. #22614944C2semidirect
16. #22614895C2semidirect
17. #22614861C2semidirect
18. #22614826C2semidirect
19. #22614633C2semidirect
20. #22614609C2semidirect
21. #22614253C2semidirect
22. #22614062C2semidirect
23. #22613944C2semidirect
24. #22613895C2semidirect
25. #22613478C2semidirect
26. #22613465C2semidirect
27. #22612591C2semidirect
28. C4×#14556563C2semidirect
29. C2×#17988477C2semidirect
30. C4×#14556551C2semidirect
31. C73×#2322C2semidirect
35. C2×#14556586C22semidirect
36. C2×#14556586C22semidirect
38. C2×#14556581C22semidirect
39. C2×#14556581C22semidirect
44. C2×#14556576C22semidirect
45. C2×#14556576C22semidirect
50. C2×#14556569C22semidirect
51. C2×#14556569C22semidirect
64. C2×C4×C22⋊D73C22semidirect
71. C2×C42×D73C22semidirect
72. #17988529C22semidirect
73. #17988528C22semidirect
76. #17988521C22semidirect
77. #17988521C22semidirect
78. #17988520C22semidirect
79. #17988518C22semidirect
81. #17988516C22semidirect
82. #17988516C22semidirect
83. #17988513C22semidirect
86. #17988510C22semidirect
88. #17988508C22semidirect
89. #17988507C22semidirect
95. #17988503C22semidirect
97. #17988502C22semidirect
99. #17988500C22semidirect
103. #17988496C22semidirect
104. #17988491C22semidirect
105. #17988491C22semidirect
106. #17988491C22semidirect
115. #17988487C22semidirect
116. #17988486C22semidirect
117. #17988483C22semidirect
118. #17988483C22semidirect
119. #17988482C22semidirect
120. #17988481C22semidirect
121. #17988480C22semidirect
126. #17988479C22semidirect
137. #17988477C22semidirect
141. #17988476C22semidirect
142. #17988476C22semidirect
143. #17988475C22semidirect
150. #17988465C22semidirect
153. #17988463C22semidirect
154. #17988463C22semidirect
156. #17988451C22semidirect
158. #17988444C22semidirect
160. C4×#11924007C22semidirect
161. C4×#11924007C22semidirect
162. #17988438C22semidirect
163. #17988438C22semidirect
166. C4×#11924005C22semidirect
167. C4×#11924005C22semidirect
168. C4×C22⋊Dic73C22semidirect
169. #17988434C22semidirect
170. #17988434C22semidirect
173. C42×Dic73C22semidirect
177. #389×C73C22semidirect
178. #389×C73C22semidirect
179. #388×C73C22semidirect
180. #388×C73C22semidirect
181. #387×C73C22semidirect
182. #387×C73C22semidirect
185. #385×C73C22semidirect
186. #385×C73C22semidirect
240. C4×C22⋊D73D4semidirect
860. #2322D73semidirect
865. C73#35009semidirect
957. #389C2×D73semidirect
958. #389C2×D73semidirect
983. #388C2×D73semidirect
984. #388C2×D73semidirect
985. #387C2×D73semidirect
986. #387C2×D73semidirect
1001. #385C2×D73semidirect
1002. #385C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891842
C2×#179891702
#226183002
#226182992
#226182642
#226182292
#226160942
#226160852
#226160742
#226160632
#226150812
#226150642
#226150492
#226150362
#226149442
#226148952
#226148612
#226148262
#226146332
#226146092
#226142532
#226140622
#226139442
#226138952
#226134782
#226134652
#226125912
C4×#145565632
C2×#179884772
C4×#145565512
C73×#23222
#3500973