Finite Group Databasebeta

← #33292956

Subgroups — #33292956

Order 18688.

2842 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989212C211yesmaximal, characteristic, complemented
2C2×#121×D73C211yesmaximal, characteristic
3#22618219C211yesmaximal, characteristic, complemented
4#22618217C211yesmaximal, characteristic, complemented
5#22616289C211yesmaximal, characteristic, complemented
6#22616288C211yesmaximal, characteristic, complemented
7#22616285C211yesmaximal, characteristic, complemented
8#22616284C211yesmaximal, characteristic, complemented
9#22616282C211yesmaximal, characteristic, complemented
10#22616281C211yesmaximal, characteristic, complemented
11#22616278C211yesmaximal, characteristic, complemented
12#22616277C211yesmaximal, characteristic, complemented
13#22616187C211yesmaximal, characteristic, complemented
14#22616186C211yesmaximal, characteristic, complemented
15#22616183C211yesmaximal, characteristic, complemented
16#22616182C211yesmaximal, characteristic, complemented
17#22616181C211yesmaximal, characteristic, complemented
18#22616178C211yesmaximal, characteristic, complemented
19#22616177C211yesmaximal, characteristic, complemented
20#22615741C211yesmaximal, characteristic, complemented
21#22615737C211yesmaximal, characteristic, complemented
22#22615309C211yesmaximal, characteristic, complemented
23#22615307C211yesmaximal, characteristic, complemented
24#22613579C211yesmaximal, characteristic, complemented
25#22613577C211yesmaximal, characteristic, complemented
26#22613257C211yesmaximal, characteristic, complemented
27#22613255C211yesmaximal, characteristic, complemented
28#22613253C211yesmaximal, characteristic, complemented
29#22613253C211yesmaximal, characteristic, complemented
30#22612525C211yesmaximal, characteristic, complemented
31C73×#2672C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C23×C4×D73C2211yescharacteristic
36#17989212—28no—
37C2×#14556580C2211yescharacteristic, complemented
38C2×#14556577C2211yescharacteristic, complemented
39C2×#14556577C2211yescharacteristic, complemented
40C2×#14556576C2211yescharacteristic, complemented
41C2×#14556576C2211yescharacteristic, complemented
42C2×#14556575C2211yescharacteristic, complemented
43C2×#14556574C2211yescharacteristic, complemented
44C2×#14556573C2211yescharacteristic, complemented
45C2×#14556573C2211yescharacteristic, complemented
46C2×#14556572C2211yescharacteristic, complemented
47C2×#14556571C2211yescharacteristic
48C2×#14556571C2211yescharacteristic, complemented
49C2×#14556571C2211yescharacteristic, complemented
50C2×#14556570C2211yescharacteristic, complemented
51C2×#14556570C2211yescharacteristic, complemented
52C2×#14556569C2211yescharacteristic
53C2×#14556569C2211yescharacteristic
54C2×#14556569C2211yescharacteristic, complemented
55C2×#14556569C2211yescharacteristic, complemented
56C2×#14556569C2211yescharacteristic, complemented
57C2×#14556568C2211yescharacteristic, complemented
58C2×#14556568C2211yescharacteristic, complemented
59C2×#14556568C2211yescharacteristic, complemented
60C2×#14556567C2211yescharacteristic
61C2×#14556567C2211yescharacteristic, complemented
62C2×#14556566C2211yescharacteristic
63C2×#14556565C2211yescharacteristic
64C2×#14556564C2211yescharacteristic
65C2×#14556564C2211yescharacteristic
66C2×#14556563C2211yescharacteristic
67C2×#14556563C2211yescharacteristic
68C2×#14556562C2211yescharacteristic
69#121×D73—28no—
70C2×C4⋊C4×D73C2211yescharacteristic
71C22×#11924005C2211yescharacteristic
72C2×C22⋊C4×D73C2211yescharacteristic
73C2×C22⋊C4×D73C2211yescharacteristic
74C2×C22⋊C4×D73C2211yescharacteristic
75#17988523C2211yescharacteristic, complemented
76#17988522C2211yescharacteristic, complemented
77#17988522C2211yescharacteristic, complemented
78#17988521C2211yescharacteristic, complemented
79#17988520C2211yescharacteristic, complemented
80#17988519C2211yescharacteristic, complemented
81#17988517C2211yescharacteristic, complemented
82#17988510C2211yescharacteristic, complemented
83#17988510C2211yescharacteristic, complemented
84#17988510C2211yescharacteristic, complemented
85#17988509C2211yescharacteristic, complemented
86#17988509C2211yescharacteristic, complemented
87#17988509C2211yescharacteristic, complemented
88#17988509C2211yescharacteristic, complemented
89#17988508C2211yescharacteristic, complemented
90#17988507C2211yescharacteristic, complemented
91#17988506C2211yescharacteristic, complemented
92#17988505C2211yescharacteristic, complemented
93#17988505C2211yescharacteristic, complemented
94#17988505C2211yescharacteristic, complemented
95#17988504C2211yescharacteristic, complemented
96#17988504C2211yescharacteristic, complemented
97#17988504C2211yescharacteristic, complemented
98#17988503C2211yescharacteristic, complemented
99#17988503C2211yescharacteristic, complemented
100#17988503C2211yescharacteristic, complemented
101#17988503C2211yescharacteristic, complemented
102#17988502C2211yescharacteristic, complemented
103#17988502C2211yescharacteristic, complemented
104#17988502C2211yescharacteristic, complemented
105#17988502C2211yescharacteristic, complemented
106#17988502C2211yescharacteristic, complemented
107#17988502C2211yescharacteristic, complemented
108#17988502C2211yescharacteristic, complemented
109#17988502C2211yescharacteristic, complemented
110#17988501C2211yescharacteristic, complemented
111#17988501C2211yescharacteristic, complemented
112#17988501C2211yescharacteristic, complemented
113#17988500C2211yescharacteristic, complemented
114#17988500C2211yescharacteristic, complemented
115#17988499C2211yescharacteristic, complemented
116#17988499C2211yescharacteristic, complemented
117#17988490C2211yescharacteristic, complemented
118#17988489C2211yescharacteristic, complemented
119#17988487C2211yescharacteristic, complemented
120#17988487C2211yescharacteristic, complemented
121#17988485C2211yescharacteristic, complemented
122#17988484C2211yescharacteristic, complemented
123#17988484C2211yescharacteristic, complemented
124#17988483C2211yescharacteristic, complemented
125#17988483C2211yescharacteristic, complemented
126#17988482C2211yescharacteristic, complemented
127#17988482C2211yescharacteristic, complemented
128#17988481C2211yescharacteristic, complemented
129#17988480C2211yescharacteristic, complemented
130#17988479C2211yescharacteristic, complemented
131#17988478C2211yescharacteristic, complemented
132#17988477C2211yescharacteristic, complemented
133#17988476C2211yescharacteristic, complemented
134#17988475C2211yescharacteristic, complemented
135#17988467C2211yescharacteristic, complemented
136#17988466C2211yescharacteristic, complemented
137#17988465C2211yescharacteristic, complemented
138#17988465C2211yescharacteristic, complemented
139#17988464C2211yescharacteristic, complemented
140#17988463C2211yescharacteristic, complemented
141#17988463C2211yescharacteristic, complemented
142#17988462C2211yescharacteristic, complemented
143#17988462C2211yescharacteristic, complemented
144#17988461C2211yescharacteristic
145#17988461C2211yescharacteristic
146#17988461C2211yescharacteristic
147#17988461C2211yescharacteristic
148#17988461C2211yescharacteristic, complemented
149#17988461C2211yescharacteristic, complemented
150#17988461C2211yescharacteristic, complemented
151#17988460C2211yescharacteristic, complemented
152#17988458C2211yescharacteristic
153#17988458C2211yescharacteristic
154#17988458C2211yescharacteristic
155#17988458C2211yescharacteristic
156#17988458C2211yescharacteristic, complemented
157#17988446C2211yescharacteristic
158#17988446C2211yescharacteristic, complemented
159#17988445C2211yescharacteristic, complemented
160#17988444C2211yescharacteristic
161#17988444C2211yescharacteristic, complemented
162#17988442C2211yescharacteristic
163#17988442C2211yescharacteristic
164#17988442C2211yescharacteristic
165#17988442C2211yescharacteristic
166#17988442C2211yescharacteristic
167#17988442C2211yescharacteristic
168#17988442C2211yescharacteristic
169#17988442C2211yescharacteristic
170#17988442C2211yescharacteristic
171#17988442C2211yescharacteristic
172C4×#11924005C2211yescharacteristic
173#17988434C2211yescharacteristic
174C2×#124×C73C2211yescharacteristic, complemented
175C2×#123×C73C2211yescharacteristic, complemented
176C2×C22⋊Q8×C73C2211yescharacteristic, complemented
177C2×#121×C73C2211yescharacteristic
178#399×C73C2211yescharacteristic, complemented
179#396×C73C2211yescharacteristic, complemented
180#395×C73C2211yescharacteristic, complemented
181#394×C73C2211yescharacteristic, complemented
182#394×C73C2211yescharacteristic, complemented
183#394×C73C2211yescharacteristic, complemented
184#389×C73C2211yescharacteristic, complemented
185#388×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic, complemented
187#385×C73C2211yescharacteristic, complemented
188#380×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C24×D73C2311yescharacteristic
192C22×Dic146C2311yescharacteristic
193C22×Dic146C2311yescharacteristic
194C22×Dic146C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C2×D4×D73—24no—
205C2×D4×D73—24no—
206C2×D4×D73—24no—
207C2×D4×D73—42no—
208C2×D4×D73—42no—
209C2×D4×D73—42no—
210C2×D4×D73—42no—
211C2×D4×D73—42no—
212C2×D4×D73—42no—
213C23×Dic73C2311yescharacteristic
214C23×Dic73C2311yescharacteristic
215C22×C4×D73—24no—
216C22×C4×D73—42no—
217C22×C4×D73—42no—
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C22×C4×D73C2311yescharacteristic
221C22×C4×D73C2311yescharacteristic
222C22×C4×D73C2311yescharacteristic
223C22×C4×D73C2311yescharacteristic
224C22×C4×D73C2311yescharacteristic
225C22×C4×D73C2311yescharacteristic
226#14556580—42no—
227#14556577—42no—
228#14556577—42no—
229#14556576—42no—
230#14556576—42no—
231#14556575—42no—
232#14556574—42no—
233#14556573—42no—
234#14556573—42no—
235#14556572—42no—
236#14556571—24no—
237#14556571—24no—
238#14556571—42no—
239#14556570—24no—
240#14556570—42no—
241#14556569—24no—
242#14556569—24no—
243#14556569—24no—
244#14556569—24no—
245#14556569—42no—
246#14556568—24no—
247#14556568—24no—
248#14556568—42no—
249#14556567—24no—
250#14556567—24no—
251#14556566—24no—
252#14556565—24no—
253#14556564—24no—
254#14556564—24no—
255#14556563—24no—
256#14556563—24no—
257#14556562—24no—
258C2×C4⋊Dic73C2311yescharacteristic
259C2×C4⋊Dic73C2311yescharacteristic
260C2×C4⋊Dic73C2311yescharacteristic
261C2×C4⋊Dic73C2311yescharacteristic
262C2×C4⋊Dic73C2311yescharacteristic
263C2×C4⋊Dic73C2311yescharacteristic
264C2×C4⋊Dic73C2311yescharacteristic
265C2×C4⋊Dic73C2311yescharacteristic
266C2×C4⋊Dic73C2311yescharacteristic
267C2×#11924007C2311yescharacteristic
268C2×#11924007C2311yescharacteristic
269C2×#11924007C2311yescharacteristic
270C2×#11924007C2311yescharacteristic
271C2×#11924007C2311yescharacteristic
272C2×#11924007C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×#11924007C2311yescharacteristic
275C2×#11924007C2311yescharacteristic
276C2×#11924007C2311yescharacteristic
277C2×#11924007C2311yescharacteristic
278C2×#11924007C2311yescharacteristic
279C2×#11924007C2311yescharacteristic
280C2×#11924007C2311yescharacteristic
281C2×#11924007C2311yescharacteristic
282C2×#11924007C2311yescharacteristic
283C2×#11924007C2311yescharacteristic
284C2×#11924007C2311yescharacteristic
285C4⋊C4×D73—24no—
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic
291C2×C22⋊Dic73C2311yescharacteristic
292C2×C22⋊Dic73C2311yescharacteristic
293C2×C22⋊Dic73C2311yescharacteristic
294C2×C22⋊Dic73C2311yescharacteristic
295C2×C22⋊Dic73C2311yescharacteristic
296C2×C22⋊Dic73C2311yescharacteristic
297C2×C22⋊Dic73C2311yescharacteristic
298C2×C22⋊Dic73C2311yescharacteristic
299C2×#11924005—24no—
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C2×#11924005C2311yescharacteristic
308C2×#11924005C2311yescharacteristic
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C2×#11924005C2311yescharacteristic
315C2×#11924005C2311yescharacteristic
316C2×#11924005C2311yescharacteristic
317C2×#11924005C2311yescharacteristic
318C2×#11924005C2311yescharacteristic
319C2×#11924005C2311yescharacteristic
320C2×#11924005C2311yescharacteristic
321C2×#11924005C2311yescharacteristic
322C2×#11924005C2311yescharacteristic
323C2×#11924005C2311yescharacteristic
324C2×#11924005C2311yescharacteristic
325C2×#11924005C2311yescharacteristic
326C2×#11924005C2311yescharacteristic
327C2×#11924005C2311yescharacteristic
328C2×#11924005C2311yescharacteristic
329C2×#11924005C2311yescharacteristic
330C2×#11924005C2311yescharacteristic
331C2×#11924005C2311yescharacteristic
332C2×#11924005C2311yescharacteristic
333C2×#11924005C2311yescharacteristic
334C22⋊C4×D73—24no—
335C22⋊C4×D73—24no—
336C22⋊C4×D73D418yes—
337C2×C4×Dic73C2311yescharacteristic
338C2×C4×Dic73C2311yescharacteristic
339C2×C4×Dic73C2311yescharacteristic
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353#14556498C2311yescharacteristic
354#14556498C2311yescharacteristic
355#14556498C2311yescharacteristic
356#14556498C2311yescharacteristic
357#14556498C2311yescharacteristic
358C22×Q8×C73C2311yescharacteristic
359C22×D4×C73C2311yescharacteristic
360C22×D4×C73C2311yescharacteristic
361C22×D4×C73C2311yescharacteristic
362C23×C4×C73C2311yescharacteristic
363C23×C4×C73C2311yescharacteristic
364#124×C73—42no—
365#123×C73—42no—
366C22⋊Q8×C73—24no—
367#121×C73—24no—
368C2×C4⋊C4×C73C2311yescharacteristic
369C2×C4⋊C4×C73C2311yescharacteristic
370C2×C4⋊C4×C73C2311yescharacteristic
371C2×C4⋊C4×C73C2311yescharacteristic
372C2×C4⋊C4×C73C2311yescharacteristic
373C2×C4⋊C4×C73C2311yescharacteristic
374C2×C4⋊C4×C73C2311yescharacteristic
375C2×C4⋊C4×C73C2311yescharacteristic
376C2×C4⋊C4×C73C2311yescharacteristic
377C2×C22⋊C4×C73C2311yescharacteristic
378C2×C22⋊C4×C73C2311yescharacteristic
379C2×C22⋊C4×C73C2311yescharacteristic
380C2×C22⋊C4×C73C2311yescharacteristic
381C2×C22⋊C4×C73C2311yescharacteristic
382C2×C22⋊C4×C73C2311yescharacteristic
383C2×C22⋊C4×C73C2311yescharacteristic
384C2×C22⋊C4×C73C2311yescharacteristic
385C2×C22⋊C4×C73C2311yescharacteristic
386C2×C22⋊C4×C73C2311yescharacteristic
387C2×C22⋊C4×C73C2311yescharacteristic
388C2×C22⋊C4×C73C2311yescharacteristic
389C2×C22⋊C4×C73C2311yescharacteristic
390C2×C42×C73C2311yescharacteristic
391#95×C73C2311yescharacteristic
392#95×C73C2311yescharacteristic
393#95×C73C2311yescharacteristic
394#95×C73C2311yescharacteristic
395#95×C73C2311yescharacteristic
396#95×C73C2311yescharacteristic
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—22no—
400C23×D73—22no—
401C23×D73—22no—
402C23×D73—22no—
403C23×D73—22no—
404C23×D73—22no—
405C23×D73—22no—
406C23×D73—22no—
407C23×D73—41no—
408C23×D73—41no—
409C23×D73—41no—
410C23×D73—41no—
411C23×D73—41no—
412C23×D73—41no—
413C23×D73—41no—
414C23×D73—41no—
415C23×D73—41no—
416C23×D73—41no—
417C23×D73C2×D414yes—
418C23×D73C2411yescharacteristic
419C23×D73C2411yescharacteristic
420C23×D73C2411yescharacteristic
421C23×D73C2411yescharacteristic
422C2×Dic146—22no—
423C2×Dic146—22no—
424C2×Dic146—22no—
425C2×Dic146—41no—
426C2×Dic146—41no—
427C2×Dic146—41no—
428C2×Dic146—41no—
429C2×Dic146—41no—
430C2×Dic146—41no—
431C2×D292—22no—
432C2×D292—22no—
433C2×D292—22no—
434C2×D292—22no—
435C2×D292—22no—
436C2×D292—22no—
437C2×D292—41no—
438C2×D292—41no—
439C2×D292—41no—
440C2×C22⋊D73—22no—
441C2×C22⋊D73—22no—
442C2×C22⋊D73—22no—
443C2×C22⋊D73—22no—
444C2×C22⋊D73—22no—
445C2×C22⋊D73—22no—
446C2×C22⋊D73—22no—
447C2×C22⋊D73—22no—
448C2×C22⋊D73—22no—
449C2×C22⋊D73—22no—
450C2×C22⋊D73—22no—
451C2×C22⋊D73—22no—
452C2×C22⋊D73—41no—
453C2×C22⋊D73—41no—
454C2×C22⋊D73—41no—
455C2×C22⋊D73—41no—
456C2×C22⋊D73—41no—
457C2×C22⋊D73—41no—
458D4×D73—416no—
459D4×D73—416no—
460D4×D73—416no—
461C22×Dic73—22no—
462C22×Dic73—22no—
463C22×Dic73—22no—
464C22×Dic73—41no—
465C22×Dic73—41no—
466C22×Dic73—41no—
467C22×Dic73C2411yescharacteristic
468C22×Dic73C2411yescharacteristic
469C22×Dic73C2411yescharacteristic
470C22×Dic73C2411yescharacteristic
471C22×Dic73C2411yescharacteristic
472C22×Dic73C2411yescharacteristic
473C22×Dic73C2411yescharacteristic
474C22×Dic73C2411yescharacteristic
475C22×Dic73C2411yescharacteristic
476C22×Dic73C2411yescharacteristic
477C22×Dic73C2411yescharacteristic
478C22×Dic73C2411yescharacteristic
479C2×C4×D73—22no—
480C2×C4×D73—22no—
481C2×C4×D73—22no—
482C2×C4×D73—22no—
483C2×C4×D73—22no—
484C2×C4×D73—22no—
485C2×C4×D73—22no—
486C2×C4×D73—22no—
487C2×C4×D73—22no—
488C2×C4×D73—22no—
489C2×C4×D73—416no—
490C2×C4×D73—41no—
491C2×C4×D73—41no—
492C2×C4×D73—41no—
493C2×C4×D73—41no—
494C2×C4×D73—41no—
495C2×C4×D73—41no—
496C2×C4×D73—41no—
497C2×C4×D73—41no—
498C2×C4×D73—41no—
499C2×C4×D73—41no—
500C2×C4×D73—41no—
501C2×C4×D73—41no—
502C2×C4×D73C2×D414yes—
503C2×C4×D73C2×D414yes—
504C4⋊Dic73—22no—
505C4⋊Dic73—22no—
506C4⋊Dic73—22no—
507C4⋊Dic73—22no—
508C4⋊Dic73—22no—
509C4⋊Dic73—22no—
510C4⋊Dic73—22no—
511C4⋊Dic73—41no—
512C4⋊Dic73—41no—
513#11924007—22no—
514#11924007—22no—
515#11924007—22no—
516#11924007—22no—
517#11924007—22no—
518#11924007—22no—
519#11924007—22no—
520#11924007—22no—
521#11924007—22no—
522#11924007—22no—
523#11924007—22no—
524#11924007—22no—
525#11924007—41no—
526#11924007—41no—
527#11924007—41no—
528#11924007—41no—
529#11924007—41no—
530#11924007—41no—
531C22⋊Dic73—22no—
532C22⋊Dic73—22no—
533C22⋊Dic73—22no—
534C22⋊Dic73—41no—
535C22⋊Dic73—41no—
536C22⋊Dic73—41no—
537C22⋊Dic73—41no—
538C22⋊Dic73—41no—
539C22⋊Dic73—41no—
540C22⋊Dic73—41no—
541C22⋊Dic73—41no—
542C22⋊Dic73—41no—
543C22⋊Dic73C2×D414yes—
544#11924005—22no—
545#11924005—22no—
546#11924005—22no—
547#11924005—22no—
548#11924005—22no—
549#11924005—22no—
550#11924005—22no—
551#11924005—22no—
552#11924005—22no—
553#11924005—22no—
554#11924005—22no—
555#11924005—22no—
556#11924005—22no—
557#11924005—22no—
558#11924005—22no—
559#11924005—22no—
560#11924005—41no—
561#11924005—41no—
562#11924005—41no—
563#11924005—41no—
564#11924005—41no—
565#11924005—41no—
566#11924005—41no—
567#11924005—41no—
568#11924005—41no—
569#11924005—41no—
570#11924005—41no—
571#11924005—41no—
572#11924005—41no—
573#11924005—41no—
574#11924005—41no—
575#11924005—41no—
576#11924005C2×D414yes—
577#11924005C2×D414yes—
578C4×Dic73—41no—
579C4×Dic73—41no—
580C4×Dic73—41no—
581C24×C73C2411yescharacteristic
582C24×C73C2411yescharacteristic
583C24×C73C2411yescharacteristic
584C2×Q8×C73—22no—
585C2×Q8×C73—41no—
586C2×Q8×C73—41no—
587C2×D4×C73—22no—
588C2×D4×C73—22no—
589C2×D4×C73—22no—
590C2×D4×C73—22no—
591C2×D4×C73—22no—
592C2×D4×C73—22no—
593C2×D4×C73—41no—
594C2×D4×C73—41no—
595C2×D4×C73—41no—
596C22×C4×C73—22no—
597C22×C4×C73—22no—
598C22×C4×C73—22no—
599C22×C4×C73—41no—
600C22×C4×C73—41no—
601C22×C4×C73—41no—
602C22×C4×C73C2411yescharacteristic
603C22×C4×C73C2411yescharacteristic
604C22×C4×C73C2411yescharacteristic
605C22×C4×C73C2411yescharacteristic
606C22×C4×C73C2411yescharacteristic
607C22×C4×C73C2411yescharacteristic
608C22×C4×C73C2411yescharacteristic
609C22×C4×C73C2411yescharacteristic
610C22×C4×C73C2411yescharacteristic
611C22×C4×C73C2411yescharacteristic
612C22×C4×C73C2411yescharacteristic
613C22×C4×C73C2411yescharacteristic
614C4⋊C4×C73—22no—
615C4⋊C4×C73—22no—
616C4⋊C4×C73—22no—
617C4⋊C4×C73—22no—
618C4⋊C4×C73—22no—
619C4⋊C4×C73—41no—
620C4⋊C4×C73—41no—
621C4⋊C4×C73—41no—
622C4⋊C4×C73—41no—
623C22⋊C4×C73—22no—
624C22⋊C4×C73—22no—
625C22⋊C4×C73—22no—
626C22⋊C4×C73—22no—
627C22⋊C4×C73—22no—
628C22⋊C4×C73—41no—
629C22⋊C4×C73—41no—
630C22⋊C4×C73—41no—
631C22⋊C4×C73—41no—
632C22⋊C4×C73—41no—
633C22⋊C4×C73—41no—
634C22⋊C4×C73—41no—
635C22⋊C4×C73C2×D414yes—
636C42×C73—41no—
637C23×C73—21no—
638C23×C73—21no—
639C23×C73—21no—
640C23×C73—21no—
641C23×C73—21no—
642C23×C73—21no—
643C23×C73—21no—
644C23×C73—21no—
645C23×C73—21no—
646C23×C73—21no—
647C23×C73—21no—
648C23×C73—21no—
649C23×C73—21no—
650C23×C73—21no—
651C23×C73—21no—
652C23×C73—21no—
653C23×C73—21no—
654C23×C73—21no—
655C23×C73—21no—
656C23×C73C22×D412yes—
657C23×C73H(5,𝔽2)12yes—
658C23×C73C2511yescharacteristic
659C22×D73—21no—
660C22×D73—21no—
661C22×D73—21no—
662C22×D73—21no—
663C22×D73—28no—
664C22×D73—21no—
665C22×D73—21no—
666C22×D73—21no—
667C22×D73—21no—
668C22×D73—21no—
669C22×D73—21no—
670C22×D73—21no—
671C22×D73—21no—
672C22×D73—21no—
673C22×D73—21no—
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—28no—
677C22×D73—21no—
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—21no—
682C22×D73—21no—
683C22×D73—21no—
684C22×D73—44no—
685C22×D73—44no—
686C22×D73—44no—
687C22×D73—44no—
688C22×D73—44no—
689C22×D73—44no—
690C22×D73—44no—
691C22×D73—44no—
692C22×D73—44no—
693C22×D73—44no—
694C22×D73—44no—
695C22×D73—82no—
696C22×D73—82no—
697C22×D73—82no—
698C22×D73—82no—
699C22×D73—82no—
700C22×D73—82no—
701C22×D73—82no—
702C22×D73—82no—
703C22×D73C22×D412yes—
704C22×D73C22×D412yes—
705C22×D73H(5,𝔽2)12yes—
706C22×D732−1+412yes—
707C22×D732−1+412yes—
708Q8×C73—82no—
709D4×C73—44no—
710D4×C73—44no—
711D4×C73—44no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—44no—
746C2×C4×C73—82no—
747C2×C4×C73C22×D412yes—
748C2×C4×C73C22×D412yes—
749C2×C4×C73H(5,𝔽2)12yes—
750C22⋊D73—44no—
751C22⋊D73—44no—
752C22⋊D73—44no—
753C22⋊D73—44no—
754C22⋊D73—44no—
755C22⋊D73—44no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—44no—
790C2×Dic73—82no—
791C2×Dic73C22×D412yes—
792C2×Dic73C22×D412yes—
793C2×Dic73H(5,𝔽2)12yes—
794D292—44no—
795D292—44no—
796D292—44no—
797C4×D73—28no—
798C4×D73—44no—
799C4×D73—44no—
800C4×D73—44no—
801C4×D73—44no—
802C4×D73—44no—
803C4×D73—82no—
804C4×D73—82no—
805Dic146—82no—
806Dic146—82no—
807Dic146—82no—
808C22×C73—22no—
809C22×C73—22no—
810C22×C73—22no—
811C22×C73—22no—
812C22×C73—22no—
813C22×C73—22no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73C23×D411yescharacteristic
830C22×C73C2×H(5,𝔽2)11yescharacteristic
831C22×C73C2×H(5,𝔽2)11yescharacteristic
832C22×C73C2×H(5,𝔽2)11yescharacteristic
833C22×C73C2×H(5,𝔽2)11yescharacteristic
834C22×C73C2×2−1+411yescharacteristic
835C22×C73C2×2−1+411yescharacteristic
836C2×D73—22no—
837C2×D73—22no—
838C2×D73—22no—
839C2×D73—22no—
840C2×D73—22no—
841C2×D73—22no—
842C2×D73—22no—
843C2×D73—22no—
844C2×D73—22no—
845C2×D73—22no—
846C2×D73—22no—
847C2×D73—22no—
848C2×D73—416no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—41no—
859C2×D73—41no—
860C2×D73—41no—
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—41no—
864C2×D73—88no—
865C2×D73—88no—
866C2×D73#53614yes—
867C4×C73—22no—
868C4×C73—22no—
869C4×C73—22no—
870C4×C73—41no—
871C4×C73—41no—
872C4×C73—41no—
873C4×C73—41no—
874C4×C73—41no—
875C4×C73—41no—
876C4×C73—41no—
877C4×C73—41no—
878C4×C73—41no—
879Dic73—22no—
880Dic73—22no—
881Dic73—22no—
882Dic73—41no—
883Dic73—41no—
884Dic73—41no—
885Dic73—41no—
886Dic73—41no—
887Dic73—41no—
888Dic73—41no—
889Dic73—41no—
890Dic73—41no—
891#36718—731nomaximal, Sylow
892C2×C73—42no—
893C2×C73—42no—
894C2×C73—81no—
895C2×C73C2×#53611yescharacteristic
896C2×C73#348411yescharacteristic
897C2×C73#348411yescharacteristic
898C2×C73#353611yescharacteristic
899C2×C73#353611yescharacteristic
900C2×C73#353611yescharacteristic
901C2×C73#353611yescharacteristic
902D73—24no—
903D73—42no—
904D73—42no—
905D73—81no—
906C2×#543—731no—
907C22×#121—731no—
908#2848—731no—
909#2848—731no—
910#2681—731no—
911#2681—731no—
912#2681—731no—
913#2681—731no—
914#2681—731no—
915#2681—731no—
916#2681—731no—
917#2681—731no—
918#2672—731no—
919#2672—731no—
920#2672—731no—
921#2672—731no—
922#2672—731no—
923#2672—731no—
924#2672—731no—
925#2672D7311yescharacteristic, complemented
926#2626—731no—
927#2626—731no—
928#2583—731no—
929#2583—731no—
930#2435—731no—
931#2435—731no—
932#2405—731no—
933#2405—731no—
934#2405—731no—
935#2405—731no—
936#2312—731no—
937C73#3671811yescharacteristic, complemented, Sylow
938C23×D4—731no—
939C23×D4—731no—
940C23×D4—731no—
941C24×C4—731no—
942#543—1468no—
943C2×#124—731no—
944C2×#124—731no—
945C2×#124—731no—
946C2×#124C2×D7311yescharacteristic, complemented
947C2×#123—731no—
948C2×#123—731no—
949C2×#123—731no—
950C2×#123—731no—
951C2×#123—731no—
952C2×#123—731no—
953C2×#123—731no—
954C2×#123C2×D7311yescharacteristic, complemented
955C2×C22⋊Q8—731no—
956C2×C22⋊Q8—731no—
957C2×C22⋊Q8—731no—
958C2×C22⋊Q8—731no—
959C2×C22⋊Q8—731no—
960C2×C22⋊Q8—731no—
961C2×C22⋊Q8—731no—
962C2×C22⋊Q8—731no—
963C2×C22⋊Q8—731no—
964C2×C22⋊Q8—731no—
965C2×C22⋊Q8—731no—
966C2×C22⋊Q8—731no—
967C2×C22⋊Q8—731no—
968C2×C22⋊Q8—731no—
969C2×C22⋊Q8—731no—
970C2×C22⋊Q8C2×D7311yescharacteristic, complemented
971C2×#121—731no—
972C2×#121—731no—
973C2×#121—731no—
974C2×#121—731no—
975C2×#121—731no—
976C2×#121—731no—
977C2×#121—731no—
978C2×#121—1468no—
979C2×#121C2×D7311yescharacteristic
980C22×C4⋊C4—731no—
981C22×C22⋊C4—731no—
982C22×C22⋊C4—731no—
983C22×C22⋊C4—731no—
984C22×C22⋊C4—731no—
985#399—731no—
986#399—731no—
987#399—731no—
988#399C2×D7311yescharacteristic, complemented
989#398—731no—
990#398—731no—
991#398—731no—
992#398—731no—
993#396—731no—
994#396—731no—
995#396—731no—
996#396—731no—
997#396—731no—
998#396—731no—
999#396—731no—
1000#396C2×D7311yescharacteristic, complemented
1001#395—731no—
1002#395—731no—
1003#395—731no—
1004#395C2×D7311yescharacteristic, complemented
1005#394—731no—
1006#394—731no—
1007#394—731no—
1008#394—731no—
1009#394—731no—
1010#394—731no—
1011#394—731no—
1012#394—731no—
1013#394—731no—
1014#394—731no—
1015#394—731no—
1016#394—731no—
1017#394—731no—
1018#394—731no—
1019#394—731no—
1020#394—731no—
1021#394—731no—
1022#394—731no—
1023#394—731no—
1024#394—731no—
1025#394—731no—
1026#394C2×D7311yescharacteristic, complemented
1027#394C2×D7311yescharacteristic, complemented
1028#394C2×D7311yescharacteristic, complemented
1029#393—731no—
1030#393—731no—
1031#393—731no—
1032#393—731no—
1033#390—731no—
1034#390—731no—
1035#390—731no—
1036#390—731no—
1037#389—731no—
1038#389—731no—
1039#389—731no—
1040#389—731no—
1041#389—731no—
1042#389—731no—
1043#389—731no—
1044#389C2×D7311yescharacteristic, complemented
1045#388—731no—
1046#388—731no—
1047#388—731no—
1048#388—731no—
1049#388—731no—
1050#388—731no—
1051#388—731no—
1052#388C2×D7311yescharacteristic, complemented
1053#386—731no—
1054#386—731no—
1055#386—731no—
1056#386—731no—
1057#386—731no—
1058#386—731no—
1059#386—731no—
1060#386C2×D7311yescharacteristic, complemented
1061#385—731no—
1062#385—731no—
1063#385—731no—
1064#385—731no—
1065#385—731no—
1066#385—731no—
1067#385—731no—
1068#385—731no—
1069#385—731no—
1070#385—731no—
1071#385—731no—
1072#385—731no—
1073#385—731no—
1074#385—731no—
1075#385—731no—
1076#385C2×D7311yescharacteristic, complemented
1077#380—731no—
1078#380—731no—
1079#380—731no—
1080#380—731no—
1081#380—731no—
1082#380C2×D7311yescharacteristic, complemented
1083#379—731no—
1084#379—731no—
1085#379—731no—
1086#379—731no—
1087#379—731no—
1088#379—731no—
1089#379—731no—
1090#379—731no—
1091#379—731no—
1092#379—731no—
1093C4×C22⋊C4—731no—
1094C4×C22⋊C4—731no—
1095C25—731no—
1096C25—731no—
1097C25—731no—
1098C22×Q8—731no—
1099C22×Q8—731no—
1100C22×Q8—731no—
1101C22×Q8C22×D7311yescharacteristic
1102C22×D4—2922no—
1103C22×D4—2922no—
1104C22×D4—2922no—
1105C22×D4—2922no—
1106C22×D4—2922no—
1107C22×D4—2922no—
1108C22×D4—731no—
1109C22×D4—731no—
1110C22×D4—731no—
1111C22×D4—731no—
1112C22×D4—731no—
1113C22×D4—731no—
1114C22×D4—731no—
1115C22×D4—731no—
1116C22×D4—731no—
1117C22×D4—1464no—
1118C22×D4—1464no—
1119C22×D4—1464no—
1120C22×D4C22×D7311yescharacteristic
1121C22×D4C22×D7311yescharacteristic
1122C22×D4C22×D7311yescharacteristic
1123C23×C4—2922no—
1124C23×C4—2922no—
1125C23×C4—731no—
1126C23×C4—731no—
1127C23×C4—731no—
1128C23×C4—731no—
1129C23×C4—731no—
1130C23×C4—731no—
1131C23×C4—731no—
1132C23×C4—731no—
1133C23×C4—731no—
1134C23×C4—731no—
1135C23×C4—1464no—
1136C23×C4C22×D7311yescharacteristic
1137C23×C4C22×D7311yescharacteristic
1138#124—42no—
1139#124—2922no—
1140#124—2922no—
1141#124—2922no—
1142#123—42no—
1143#123—2922no—
1144#123—2922no—
1145#123—2922no—
1146#123—2922no—
1147#123—2922no—
1148#123—2922no—
1149#123—2922no—
1150C22⋊Q8—24no—
1151C22⋊Q8—2922no—
1152C22⋊Q8—2922no—
1153C22⋊Q8—2922no—
1154C22⋊Q8—2922no—
1155C22⋊Q8—1464no—
1156C22⋊Q8—1464no—
1157C22⋊Q8—1464no—
1158C22⋊Q8—1464no—
1159C22⋊Q8—1464no—
1160C22⋊Q8—1464no—
1161C22⋊Q8—1464no—
1162C22⋊Q8—1464no—
1163C22⋊Q8—1464no—
1164C22⋊Q8—1464no—
1165C22⋊Q8—1464no—
1166#121—24no—
1167#121—1464no—
1168#121—1464no—
1169#121—1464no—
1170#121—1464no—
1171#121—1464no—
1172#121—1464no—
1173#121—1464no—
1174C2×C4⋊C4—731no—
1175C2×C4⋊C4—731no—
1176C2×C4⋊C4—731no—
1177C2×C4⋊C4—731no—
1178C2×C4⋊C4—731no—
1179C2×C4⋊C4—731no—
1180C2×C4⋊C4—731no—
1181C2×C4⋊C4—731no—
1182C2×C4⋊C4—731no—
1183C2×C4⋊C4—731no—
1184C2×C4⋊C4—731no—
1185C2×C4⋊C4—731no—
1186C2×C4⋊C4—731no—
1187C2×C4⋊C4—731no—
1188C2×C4⋊C4—731no—
1189C2×C4⋊C4—731no—
1190C2×C4⋊C4—731no—
1191C2×C4⋊C4—731no—
1192C2×C4⋊C4—731no—
1193C2×C4⋊C4—731no—
1194C2×C4⋊C4—731no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—731no—
1197C2×C4⋊C4—731no—
1198C2×C4⋊C4—731no—
1199C2×C4⋊C4—731no—
1200C2×C4⋊C4—731no—
1201C2×C4⋊C4—1464no—
1202C2×C4⋊C4C22×D7311yescharacteristic
1203C2×C4⋊C4C22×D7311yescharacteristic
1204C2×C4⋊C4C22×D7311yescharacteristic
1205C2×C4⋊C4C22×D7311yescharacteristic
1206C2×C4⋊C4C22×D7311yescharacteristic
1207C2×C4⋊C4C22×D7311yescharacteristic
1208C2×C4⋊C4C22×D7311yescharacteristic
1209C2×C4⋊C4C22×D7311yescharacteristic
1210C2×C4⋊C4C22×D7311yescharacteristic
1211C2×C22⋊C4—731no—
1212C2×C22⋊C4—731no—
1213C2×C22⋊C4—731no—
1214C2×C22⋊C4—731no—
1215C2×C22⋊C4—731no—
1216C2×C22⋊C4—731no—
1217C2×C22⋊C4—731no—
1218C2×C22⋊C4—731no—
1219C2×C22⋊C4—731no—
1220C2×C22⋊C4—731no—
1221C2×C22⋊C4—731no—
1222C2×C22⋊C4—731no—
1223C2×C22⋊C4—731no—
1224C2×C22⋊C4—731no—
1225C2×C22⋊C4—731no—
1226C2×C22⋊C4—731no—
1227C2×C22⋊C4—731no—
1228C2×C22⋊C4—731no—
1229C2×C22⋊C4—731no—
1230C2×C22⋊C4—731no—
1231C2×C22⋊C4—731no—
1232C2×C22⋊C4—731no—
1233C2×C22⋊C4—731no—
1234C2×C22⋊C4—731no—
1235C2×C22⋊C4—731no—
1236C2×C22⋊C4—731no—
1237C2×C22⋊C4—731no—
1238C2×C22⋊C4—731no—
1239C2×C22⋊C4—738no—
1240C2×C22⋊C4—731no—
1241C2×C22⋊C4—731no—
1242C2×C22⋊C4—731no—
1243C2×C22⋊C4—731no—
1244C2×C22⋊C4—731no—
1245C2×C22⋊C4—731no—
1246C2×C22⋊C4—731no—
1247C2×C22⋊C4—731no—
1248C2×C22⋊C4—731no—
1249C2×C22⋊C4—731no—
1250C2×C22⋊C4—731no—
1251C2×C22⋊C4—731no—
1252C2×C22⋊C4—731no—
1253C2×C22⋊C4—731no—
1254C2×C22⋊C4—731no—
1255C2×C22⋊C4—731no—
1256C2×C22⋊C4—731no—
1257C2×C22⋊C4—731no—
1258C2×C22⋊C4—731no—
1259C2×C22⋊C4—1464no—
1260C2×C22⋊C4—1464no—
1261C2×C22⋊C4—1464no—
1262C2×C22⋊C4C22×D7311yescharacteristic
1263C2×C22⋊C4C22×D7311yescharacteristic
1264C2×C22⋊C4C22×D7311yescharacteristic
1265C2×C22⋊C4C22×D7311yescharacteristic
1266C2×C22⋊C4C22×D7311yescharacteristic
1267C2×C22⋊C4C22×D7311yescharacteristic
1268C2×C22⋊C4C22×D7311yescharacteristic
1269C2×C22⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4C22×D7311yescharacteristic
1271C2×C22⋊C4C22×D7311yescharacteristic
1272C2×C22⋊C4C22×D7311yescharacteristic
1273C2×C22⋊C4C22×D7311yescharacteristic
1274C2×C22⋊C4C22×D7311yescharacteristic
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—731no—
1278C2×C42C22×D7311yescharacteristic
1279#95—731no—
1280#95—731no—
1281#95—731no—
1282#95—731no—
1283#95—731no—
1284#95—731no—
1285#95—731no—
1286#95—731no—
1287#95—731no—
1288#95—731no—
1289#95—731no—
1290#95—731no—
1291#95—731no—
1292#95—731no—
1293#95—731no—
1294#95—731no—
1295#95—731no—
1296#95—731no—
1297#95C22×D7311yescharacteristic
1298#95C22×D7311yescharacteristic
1299#95C22×D7311yescharacteristic
1300#95C22×D7311yescharacteristic
1301#95C22×D7311yescharacteristic
1302#95C22×D7311yescharacteristic
1303C24—2921no—
1304C24—2921no—
1305C24—2921no—
1306C24—2921no—
1307C24—2921no—
1308C24—2921no—
1309C24—2921no—
1310C24—2921no—
1311C24—2921no—
1312C24—2921no—
1313C24—734no—
1314C24—731no—
1315C24—731no—
1316C24—731no—
1317C24—731no—
1318C24—1462no—
1319C24—1462no—
1320C24—1462no—
1321C24—1462no—
1322C24—1462no—
1323C24—1462no—
1324C24—1462no—
1325C24—1462no—
1326C24—1462no—
1327C24—1462no—
1328C24C23×D7311yescharacteristic
1329C24C23×D7311yescharacteristic
1330C24C23×D7311yescharacteristic
1331C2×Q8—22no—
1332C2×Q8—41no—
1333C2×Q8—41no—
1334C2×Q8—2921no—
1335C2×Q8—2921no—
1336C2×Q8—2921no—
1337C2×Q8—2921no—
1338C2×Q8—2921no—
1339C2×Q8—2921no—
1340C2×Q8—1462no—
1341C2×Q8—1462no—
1342C2×Q8—1462no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—2921no—
1353C2×D4—2921no—
1354C2×D4—2921no—
1355C2×D4—29216no—
1356C2×D4—29216no—
1357C2×D4—29216no—
1358C2×D4—2921no—
1359C2×D4—2921no—
1360C2×D4—2921no—
1361C2×D4—2921no—
1362C2×D4—2921no—
1363C2×D4—2921no—
1364C2×D4—1462no—
1365C2×D4—1462no—
1366C2×D4—1462no—
1367C2×D4—1462no—
1368C2×D4—1462no—
1369C2×D4—1462no—
1370C2×D4—1462no—
1371C2×D4—1462no—
1372C2×D4—1462no—
1373C2×D4—1462no—
1374C2×D4—1462no—
1375C2×D4—1462no—
1376C2×D4—1462no—
1377C2×D4—1462no—
1378C2×D4—1462no—
1379C2×D4—1462no—
1380C2×D4—1462no—
1381C2×D4—1462no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—2921no—
1389C22×C4—2921no—
1390C22×C4—2921no—
1391C22×C4—2921no—
1392C22×C4—2921no—
1393C22×C4—2921no—
1394C22×C4—2921no—
1395C22×C4—2921no—
1396C22×C4—2921no—
1397C22×C4—2921no—
1398C22×C4—2921no—
1399C22×C4—2921no—
1400C22×C4—29216no—
1401C22×C4—2921no—
1402C22×C4—2921no—
1403C22×C4—2921no—
1404C22×C4—734no—
1405C22×C4—734no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—731no—
1418C22×C4—1462no—
1419C22×C4—1462no—
1420C22×C4—1462no—
1421C22×C4—1462no—
1422C22×C4—1462no—
1423C22×C4—1462no—
1424C22×C4—1462no—
1425C22×C4—1462no—
1426C22×C4—1462no—
1427C22×C4—1462no—
1428C22×C4—1462no—
1429C22×C4—1462no—
1430C22×C4—1462no—
1431C22×C4C23×D7311yescharacteristic
1432C22×C4C23×D7311yescharacteristic
1433C22×C4C23×D7311yescharacteristic
1434C22×C4C23×D7311yescharacteristic
1435C22×C4C23×D7311yescharacteristic
1436C22×C4C23×D7311yescharacteristic
1437C22×C4C23×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439C22×C4C23×D7311yescharacteristic
1440C22×C4C23×D7311yescharacteristic
1441C22×C4C23×D7311yescharacteristic
1442C22×C4C23×D7311yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—2921no—
1453C4⋊C4—2921no—
1454C4⋊C4—2921no—
1455C4⋊C4—2921no—
1456C4⋊C4—2921no—
1457C4⋊C4—2921no—
1458C4⋊C4—2921no—
1459C4⋊C4—2921no—
1460C4⋊C4—1462no—
1461C4⋊C4—1462no—
1462C4⋊C4—1462no—
1463C4⋊C4—1462no—
1464C4⋊C4—1462no—
1465C4⋊C4—1462no—
1466C4⋊C4—1462no—
1467C4⋊C4—1462no—
1468C4⋊C4—1462no—
1469C4⋊C4—1462no—
1470C4⋊C4—1462no—
1471C4⋊C4—1462no—
1472C4⋊C4—1462no—
1473C4⋊C4—1462no—
1474C4⋊C4—1462no—
1475C4⋊C4—1462no—
1476C4⋊C4—1462no—
1477C4⋊C4—1462no—
1478C4⋊C4—1462no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—2921no—
1492C22⋊C4—2921no—
1493C22⋊C4—2921no—
1494C22⋊C4—2921no—
1495C22⋊C4—2921no—
1496C22⋊C4—2921no—
1497C22⋊C4—2921no—
1498C22⋊C4—2921no—
1499C22⋊C4—2921no—
1500C22⋊C4—2921no—
1501C22⋊C4—2921no—
1502C22⋊C4—2921no—
1503C22⋊C4—2921no—
1504C22⋊C4—2921no—
1505C22⋊C4—2921no—
1506C22⋊C4—2921no—
1507C22⋊C4—2921no—
1508C22⋊C4—2921no—
1509C22⋊C4—2921no—
1510C22⋊C4—2921no—
1511C22⋊C4—2921no—
1512C22⋊C4—2921no—
1513C22⋊C4—2921no—
1514C22⋊C4—2921no—
1515C22⋊C4—2921no—
1516C22⋊C4—734no—
1517C22⋊C4—734no—
1518C22⋊C4—734no—
1519C22⋊C4—1462no—
1520C22⋊C4—1462no—
1521C22⋊C4—1462no—
1522C22⋊C4—1462no—
1523C22⋊C4—1462no—
1524C22⋊C4—1462no—
1525C22⋊C4—1462no—
1526C22⋊C4—1462no—
1527C22⋊C4—1462no—
1528C22⋊C4—1462no—
1529C22⋊C4—1462no—
1530C22⋊C4—1462no—
1531C22⋊C4—1462no—
1532C22⋊C4—1462no—
1533C22⋊C4—1462no—
1534C22⋊C4—1462no—
1535C22⋊C4—1462no—
1536C22⋊C4—1462no—
1537C22⋊C4—1462no—
1538C22⋊C4D4×D7314yes—
1539C42—41no—
1540C42—2921no—
1541C42—2921no—
1542C42—2921no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—2924no—
1563C23—2924no—
1564C23—2924no—
1565C23—2924no—
1566C23—2924no—
1567C23—2924no—
1568C23—2924no—
1569C23—2924no—
1570C23—2924no—
1571C23—2924no—
1572C23—2924no—
1573C23—5842no—
1574C23—5842no—
1575C23—5842no—
1576C23—5842no—
1577C23—5842no—
1578C23—5842no—
1579C23—5842no—
1580C23—5842no—
1581C23—732no—
1582C23—732no—
1583C23—732no—
1584C23—732no—
1585C23—732no—
1586C23—1468no—
1587C23—1468no—
1588C23—1461no—
1589C23—1461no—
1590C23—1461no—
1591C23—1461no—
1592C23—1461no—
1593C23—1461no—
1594C23—1461no—
1595C23—1461no—
1596C23—1461no—
1597C23—1461no—
1598C23—1461no—
1599C23—1461no—
1600C23—1461no—
1601C23—1461no—
1602C23—1461no—
1603C23—1461no—
1604C23—1461no—
1605C23—1461no—
1606C23—1461no—
1607C23—1461no—
1608C23—1461no—
1609C23—1461no—
1610C23—1461no—
1611C23C2×D4×D7312yes—
1612C23#1455663612yes—
1613C23C24×D7311yescharacteristic
1614Q8—82no—
1615Q8—5842no—
1616Q8—5842no—
1617Q8—5842no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—2924no—
1622D4—2924no—
1623D4—2924no—
1624D4—2924no—
1625D4—2924no—
1626D4—2924no—
1627D4—2924no—
1628D4—2924no—
1629D4—2924no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—82no—
1665C2×C4—2924no—
1666C2×C4—2924no—
1667C2×C4—2924no—
1668C2×C4—2924no—
1669C2×C4—2924no—
1670C2×C4—2924no—
1671C2×C4—5842no—
1672C2×C4—5842no—
1673C2×C4—5842no—
1674C2×C4—732no—
1675C2×C4—732no—
1676C2×C4—732no—
1677C2×C4—1468no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4—1461no—
1684C2×C4—1461no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4—1461no—
1696C2×C4—1461no—
1697C2×C4—1461no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4—1461no—
1711C2×C4C2×D4×D7312yes—
1712C2×C4C2×D4×D7312yes—
1713C2×C4#1455663712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—29216no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—2921no—
1748C22—2921no—
1749C22—2921no—
1750C22—2921no—
1751C22—5848no—
1752C22—5848no—
1753C22—734no—
1754C22—1462no—
1755C22—1462no—
1756C22—1462no—
1757C22—1462no—
1758C22—1462no—
1759C22—1462no—
1760C22—1462no—
1761C22—1462no—
1762C22—1462no—
1763C22—1462no—
1764C22—1462no—
1765C22—1462no—
1766C22C22×D4×D7311yescharacteristic
1767C22H(5,𝔽2)×D7311yescharacteristic
1768C22H(5,𝔽2)×D7311yescharacteristic
1769C22C2×#1455663611yescharacteristic
1770C22C2×#1455663711yescharacteristic
1771C222−1+4×D7311yescharacteristic
1772C222−1+4×D7311yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—2921no—
1786C4—2921no—
1787C4—2921no—
1788C4—2921no—
1789C4—2921no—
1790C4—2921no—
1791C4—2921no—
1792C4—2921no—
1793C4—2921no—
1794C4—1462no—
1795C4—1462no—
1796C4—1462no—
1797C2—42no—
1798C2—42no—
1799C2—81no—
1800C2—2922no—
1801C2—2922no—
1802C2—5841no—
1803C2—1464no—
1804C2#536×D7311yescharacteristic
1805C2#2262355911yescharacteristic
1806C2#2262356111yescharacteristic
1807C2#2262414811yescharacteristic
1808C2#2262415011yescharacteristic
1809C2#2262415411yescharacteristic
1810C2#2262415611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2672C2
prime radicalC2×#121×D73C2
hypercenter#2672D73
hypocenterC73#36718
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#17989212C2semidirect
3. #22618219C2semidirect
4. #22618217C2semidirect
5. #22616289C2semidirect
6. #22616288C2semidirect
7. #22616285C2semidirect
8. #22616284C2semidirect
9. #22616282C2semidirect
10. #22616281C2semidirect
11. #22616278C2semidirect
12. #22616277C2semidirect
13. #22616187C2semidirect
14. #22616186C2semidirect
15. #22616183C2semidirect
16. #22616182C2semidirect
17. #22616181C2semidirect
18. #22616178C2semidirect
19. #22616177C2semidirect
20. #22615741C2semidirect
21. #22615737C2semidirect
22. #22615309C2semidirect
23. #22615307C2semidirect
24. #22613579C2semidirect
25. #22613577C2semidirect
26. #22613257C2semidirect
27. #22613255C2semidirect
28. #22613253C2semidirect
29. #22613253C2semidirect
30. #22612525C2semidirect
31. C73×#2672C2semidirect
37. C2×#14556580C22semidirect
38. C2×#14556577C22semidirect
39. C2×#14556577C22semidirect
40. C2×#14556576C22semidirect
41. C2×#14556576C22semidirect
42. C2×#14556575C22semidirect
43. C2×#14556574C22semidirect
44. C2×#14556573C22semidirect
45. C2×#14556573C22semidirect
46. C2×#14556572C22semidirect
48. C2×#14556571C22semidirect
49. C2×#14556571C22semidirect
50. C2×#14556570C22semidirect
51. C2×#14556570C22semidirect
54. C2×#14556569C22semidirect
55. C2×#14556569C22semidirect
56. C2×#14556569C22semidirect
57. C2×#14556568C22semidirect
58. C2×#14556568C22semidirect
59. C2×#14556568C22semidirect
61. C2×#14556567C22semidirect
75. #17988523C22semidirect
76. #17988522C22semidirect
77. #17988522C22semidirect
78. #17988521C22semidirect
79. #17988520C22semidirect
80. #17988519C22semidirect
81. #17988517C22semidirect
82. #17988510C22semidirect
83. #17988510C22semidirect
84. #17988510C22semidirect
85. #17988509C22semidirect
86. #17988509C22semidirect
87. #17988509C22semidirect
88. #17988509C22semidirect
89. #17988508C22semidirect
90. #17988507C22semidirect
91. #17988506C22semidirect
92. #17988505C22semidirect
93. #17988505C22semidirect
94. #17988505C22semidirect
95. #17988504C22semidirect
96. #17988504C22semidirect
97. #17988504C22semidirect
98. #17988503C22semidirect
99. #17988503C22semidirect
100. #17988503C22semidirect
101. #17988503C22semidirect
102. #17988502C22semidirect
103. #17988502C22semidirect
104. #17988502C22semidirect
105. #17988502C22semidirect
106. #17988502C22semidirect
107. #17988502C22semidirect
108. #17988502C22semidirect
109. #17988502C22semidirect
110. #17988501C22semidirect
111. #17988501C22semidirect
112. #17988501C22semidirect
113. #17988500C22semidirect
114. #17988500C22semidirect
115. #17988499C22semidirect
116. #17988499C22semidirect
117. #17988490C22semidirect
118. #17988489C22semidirect
119. #17988487C22semidirect
120. #17988487C22semidirect
121. #17988485C22semidirect
122. #17988484C22semidirect
123. #17988484C22semidirect
124. #17988483C22semidirect
125. #17988483C22semidirect
126. #17988482C22semidirect
127. #17988482C22semidirect
128. #17988481C22semidirect
129. #17988480C22semidirect
130. #17988479C22semidirect
131. #17988478C22semidirect
132. #17988477C22semidirect
133. #17988476C22semidirect
134. #17988475C22semidirect
135. #17988467C22semidirect
136. #17988466C22semidirect
137. #17988465C22semidirect
138. #17988465C22semidirect
139. #17988464C22semidirect
140. #17988463C22semidirect
141. #17988463C22semidirect
142. #17988462C22semidirect
143. #17988462C22semidirect
148. #17988461C22semidirect
149. #17988461C22semidirect
150. #17988461C22semidirect
151. #17988460C22semidirect
156. #17988458C22semidirect
158. #17988446C22semidirect
159. #17988445C22semidirect
161. #17988444C22semidirect
174. C2×#124×C73C22semidirect
175. C2×#123×C73C22semidirect
176. C2×C22⋊Q8×C73C22semidirect
178. #399×C73C22semidirect
179. #396×C73C22semidirect
180. #395×C73C22semidirect
181. #394×C73C22semidirect
182. #394×C73C22semidirect
183. #394×C73C22semidirect
184. #389×C73C22semidirect
185. #388×C73C22semidirect
186. #386×C73C22semidirect
187. #385×C73C22semidirect
188. #380×C73C22semidirect
925. #2672D73semidirect
937. C73#36718semidirect
946. C2×#124C2×D73semidirect
954. C2×#123C2×D73semidirect
970. C2×C22⋊Q8C2×D73semidirect
988. #399C2×D73semidirect
1000. #396C2×D73semidirect
1004. #395C2×D73semidirect
1026. #394C2×D73semidirect
1027. #394C2×D73semidirect
1028. #394C2×D73semidirect
1044. #389C2×D73semidirect
1052. #388C2×D73semidirect
1060. #386C2×D73semidirect
1076. #385C2×D73semidirect
1082. #380C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179892122
C2×#121×D732
#226182192
#226182172
#226162892
#226162882
#226162852
#226162842
#226162822
#226162812
#226162782
#226162772
#226161872
#226161862
#226161832
#226161822
#226161812
#226161782
#226161772
#226157412
#226157372
#226153092
#226153072
#226135792
#226135772
#226132572
#226132552
#226132532
#226125252
C73×#26722
#3671873