Finite Group Databasebeta

← #33258634

Subgroups — #33258634

Order 18688.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989185C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D73C211yesmaximal, characteristic, complemented
3#22618226C211yesmaximal, characteristic, complemented
4#22618226C211yesmaximal, characteristic, complemented
5#22618217C211yesmaximal, characteristic, complemented
6#22618214C211yesmaximal, characteristic
7#22615749C211yesmaximal, characteristic, complemented
8#22615718C211yesmaximal, characteristic, complemented
9#22615712C211yesmaximal, characteristic, complemented
10#22615674C211yesmaximal, characteristic, complemented
11#22614196C211yesmaximal, characteristic, complemented
12#22614192C211yesmaximal, characteristic, complemented
13#22614189C211yesmaximal, characteristic, complemented
14#22614185C211yesmaximal, characteristic, complemented
15#22614077C211yesmaximal, characteristic, complemented
16#22614073C211yesmaximal, characteristic, complemented
17#22614068C211yesmaximal, characteristic, complemented
18#22613747C211yesmaximal, characteristic, complemented
19#22613742C211yesmaximal, characteristic, complemented
20#22613738C211yesmaximal, characteristic, complemented
21#22613735C211yesmaximal, characteristic, complemented
22#22613671C211yesmaximal, characteristic, complemented
23#22613670C211yesmaximal, characteristic, complemented
24#22613667C211yesmaximal, characteristic, complemented
25#22613666C211yesmaximal, characteristic, complemented
26#22612604C211yesmaximal, characteristic, complemented
27#22612595C211yesmaximal, characteristic, complemented
28#22612530C211yesmaximal, characteristic, complemented
29C4×#14556561C211yesmaximal, characteristic, complemented
30#22612432C211yesmaximal, characteristic, complemented
31C73×#2473C211yesmaximal, characteristic, complemented
32C23×C4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic
35#17989185—28no—
36C2×#14556586C2211yescharacteristic, complemented
37C2×#14556585C2211yescharacteristic, complemented
38C2×#14556581C2211yescharacteristic, complemented
39C2×#14556576C2211yescharacteristic
40C2×#14556576C2211yescharacteristic
41C2×#14556576C2211yescharacteristic
42C2×#14556576C2211yescharacteristic
43C2×#14556576C2211yescharacteristic, complemented
44C2×#14556576C2211yescharacteristic, complemented
45C2×#14556571C2211yescharacteristic, complemented
46C2×#14556569C2211yescharacteristic
47C2×#14556569C2211yescharacteristic
48C2×#14556569C2211yescharacteristic, complemented
49C2×#14556568C2211yescharacteristic
50C2×#14556566C2211yescharacteristic
51C2×#14556566C2211yescharacteristic
52C2×#14556565C2211yescharacteristic
53C2×#14556561C2211yescharacteristic
54C2×#14556561C2211yescharacteristic
55C2×C4×D292C2211yescharacteristic
56C2×C4×D292C2211yescharacteristic
57C2×#14556553C2211yescharacteristic
58C2×#14556553C2211yescharacteristic
59C2×C4×C22⋊D73C2211yescharacteristic
60C2×#14556551C2211yescharacteristic
61C22×C4⋊Dic73C2211yescharacteristic
62C22×#11924007C2211yescharacteristic
63C22×#11924007C2211yescharacteristic
64C2×C4⋊C4×D73—28no—
65C2×C4⋊C4×D73C2211yescharacteristic
66C2×C4⋊C4×D73C2211yescharacteristic
67C2×C4⋊C4×D73C2211yescharacteristic
68C2×C4⋊C4×D73C2211yescharacteristic
69C2×C4⋊C4×D73C2211yescharacteristic
70C2×C4⋊C4×D73C2211yescharacteristic
71C2×C4⋊C4×D73C2211yescharacteristic
72C2×C4⋊C4×D73C2211yescharacteristic
73#17988529C2211yescharacteristic, complemented
74#17988528C2211yescharacteristic, complemented
75#17988528C2211yescharacteristic, complemented
76#17988528C2211yescharacteristic, complemented
77#17988526C2211yescharacteristic, complemented
78#17988524C2211yescharacteristic, complemented
79#17988522C2211yescharacteristic, complemented
80#17988522C2211yescharacteristic, complemented
81#17988522C2211yescharacteristic, complemented
82#17988521C2211yescharacteristic, complemented
83#17988521C2211yescharacteristic, complemented
84#17988520C2211yescharacteristic, complemented
85#17988520C2211yescharacteristic, complemented
86#17988518C2211yescharacteristic, complemented
87#17988517C2211yescharacteristic, complemented
88#17988517C2211yescharacteristic, complemented
89#17988516C2211yescharacteristic, complemented
90#17988516C2211yescharacteristic, complemented
91#17988514C2211yescharacteristic, complemented
92#17988513C2211yescharacteristic, complemented
93#17988511C2211yescharacteristic, complemented
94#17988511C2211yescharacteristic, complemented
95#17988509C2211yescharacteristic, complemented
96#17988509C2211yescharacteristic, complemented
97#17988508C2211yescharacteristic, complemented
98#17988507C2211yescharacteristic, complemented
99#17988505C2211yescharacteristic, complemented
100#17988504C2211yescharacteristic, complemented
101#17988486C2211yescharacteristic, complemented
102#17988484C2211yescharacteristic, complemented
103#17988482C2211yescharacteristic, complemented
104#17988479C2211yescharacteristic, complemented
105#17988478C2211yescharacteristic, complemented
106#17988477C2211yescharacteristic, complemented
107#17988476C2211yescharacteristic, complemented
108#17988474C2211yescharacteristic, complemented
109#17988473C2211yescharacteristic, complemented
110#17988473C2211yescharacteristic, complemented
111#17988472C2211yescharacteristic, complemented
112#17988471C2211yescharacteristic, complemented
113#17988471C2211yescharacteristic, complemented
114#17988470C2211yescharacteristic, complemented
115#17988469C2211yescharacteristic, complemented
116#17988469C2211yescharacteristic, complemented
117#17988468C2211yescharacteristic, complemented
118#17988466C2211yescharacteristic
119#17988466C2211yescharacteristic
120#17988466C2211yescharacteristic
121#17988465C2211yescharacteristic
122#17988465C2211yescharacteristic
123#17988465C2211yescharacteristic
124#17988465C2211yescharacteristic
125#17988465C2211yescharacteristic
126#17988465C2211yescharacteristic
127#17988465C2211yescharacteristic
128#17988465C2211yescharacteristic
129#17988465C2211yescharacteristic
130#17988465C2211yescharacteristic
131#17988465C2211yescharacteristic
132#17988465C2211yescharacteristic
133#17988464C2211yescharacteristic
134#17988464C2211yescharacteristic
135#17988464C2211yescharacteristic
136#17988464C2211yescharacteristic
137#17988464C2211yescharacteristic
138#17988462C2211yescharacteristic
139#17988461C2211yescharacteristic
140#17988461C2211yescharacteristic
141#17988461C2211yescharacteristic
142#17988461C2211yescharacteristic
143#17988461C2211yescharacteristic, complemented
144#17988461C2211yescharacteristic, complemented
145#17988460C2211yescharacteristic
146#17988459C2211yescharacteristic
147#17988459C2211yescharacteristic
148#17988458C2211yescharacteristic
149#17988458C2211yescharacteristic
150#17988458C2211yescharacteristic
151#17988458C2211yescharacteristic
152#17988458C2211yescharacteristic
153#17988458C2211yescharacteristic
154#17988458C2211yescharacteristic
155#17988458C2211yescharacteristic
156#17988458C2211yescharacteristic, complemented
157#17988458C2211yescharacteristic, complemented
158#17988449C2211yescharacteristic
159#17988449C2211yescharacteristic
160#17988449C2211yescharacteristic
161#17988449C2211yescharacteristic
162#17988446C2211yescharacteristic
163#17988446C2211yescharacteristic
164#17988445C2211yescharacteristic
165#17988444C2211yescharacteristic
166#17988444C2211yescharacteristic
167#17988442C2211yescharacteristic
168#17988442C2211yescharacteristic
169C22⋊C4×Dic73C2211yescharacteristic
170C4×#11924005C2211yescharacteristic
171C4×#11924005C2211yescharacteristic
172#17988434C2211yescharacteristic
173#17988434C2211yescharacteristic
174C2×#125×C73C2211yescharacteristic, complemented
175C22×C4⋊C4×C73C2211yescharacteristic
176#400×C73C2211yescharacteristic, complemented
177#398×C73C2211yescharacteristic, complemented
178#398×C73C2211yescharacteristic, complemented
179#398×C73C2211yescharacteristic, complemented
180#389×C73C2211yescharacteristic, complemented
181#387×C73C2211yescharacteristic, complemented
182#387×C73C2211yescharacteristic, complemented
183#385×C73C2211yescharacteristic
184#385×C73C2211yescharacteristic
185#385×C73C2211yescharacteristic
186#385×C73C2211yescharacteristic
187#380×C73C2211yescharacteristic
188C4×C22⋊C4×C73C2211yescharacteristic
189C24×D73C2311yescharacteristic
190C22×Dic146C2311yescharacteristic
191C22×D292C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C23×Dic73C2311yescharacteristic
199C23×Dic73C2311yescharacteristic
200C23×Dic73C2311yescharacteristic
201C22×C4×D73—24no—
202C22×C4×D73—24no—
203C22×C4×D73—24no—
204C22×C4×D73—24no—
205C22×C4×D73—24no—
206C22×C4×D73—42no—
207C22×C4×D73—42no—
208C22×C4×D73—42no—
209C22×C4×D73—42no—
210C22×C4×D73C2311yescharacteristic
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C22×C4×D73C2311yescharacteristic
221C22×C4×D73C2311yescharacteristic
222C22×C4×D73C2311yescharacteristic
223C22×C4×D73C2311yescharacteristic
224#14556586—24no—
225#14556585—24no—
226#14556581—24no—
227#14556576—24no—
228#14556576—24no—
229#14556576—24no—
230#14556576—24no—
231#14556576—24no—
232#14556576—24no—
233#14556571—24no—
234#14556569—24no—
235#14556569—24no—
236#14556569—42no—
237#14556568—42no—
238#14556566—24no—
239#14556566—42no—
240#14556565—42no—
241#14556561—24no—
242#14556561—24no—
243C4×D292—24no—
244C4×D292—42no—
245#14556553—24no—
246#14556553—42no—
247C4×C22⋊D73—42no—
248#14556551—42no—
249C2×C4⋊Dic73—24no—
250C2×C4⋊Dic73C2311yescharacteristic
251C2×C4⋊Dic73C2311yescharacteristic
252C2×C4⋊Dic73C2311yescharacteristic
253C2×C4⋊Dic73C2311yescharacteristic
254C2×C4⋊Dic73C2311yescharacteristic
255C2×C4⋊Dic73C2311yescharacteristic
256C2×C4⋊Dic73C2311yescharacteristic
257C2×C4⋊Dic73C2311yescharacteristic
258C2×#11924007—24no—
259C2×#11924007—24no—
260C2×#11924007C2311yescharacteristic
261C2×#11924007C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C2×#11924007C2311yescharacteristic
264C2×#11924007C2311yescharacteristic
265C2×#11924007C2311yescharacteristic
266C2×#11924007C2311yescharacteristic
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
280C4⋊C4×D73—24no—
281C4⋊C4×D73—24no—
282C4⋊C4×D73—24no—
283C4⋊C4×D73—24no—
284C4⋊C4×D73—24no—
285C4⋊C4×D73—24no—
286C4⋊C4×D73—24no—
287C4⋊C4×D73D418yescomplemented
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
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×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C2×#11924005C2311yescharacteristic
315C2×#11924005C2311yescharacteristic
316C2×#11924005C2311yescharacteristic
317C2×#11924005C2311yescharacteristic
318C2×#11924005C2311yescharacteristic
319C2×#11924005C2311yescharacteristic
320C2×#11924005C2311yescharacteristic
321C2×#11924005C2311yescharacteristic
322C2×C4×Dic73C2311yescharacteristic
323C2×C4×Dic73C2311yescharacteristic
324C2×C4×Dic73C2311yescharacteristic
325C2×C4×Dic73C2311yescharacteristic
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
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353#14556498C2311yescharacteristic
354C23×C4×C73C2311yescharacteristic
355C23×C4×C73C2311yescharacteristic
356C23×C4×C73C2311yescharacteristic
357#125×C73—24no—
358C2×C4⋊C4×C73—24no—
359C2×C4⋊C4×C73C2311yescharacteristic
360C2×C4⋊C4×C73C2311yescharacteristic
361C2×C4⋊C4×C73C2311yescharacteristic
362C2×C4⋊C4×C73C2311yescharacteristic
363C2×C4⋊C4×C73C2311yescharacteristic
364C2×C4⋊C4×C73C2311yescharacteristic
365C2×C4⋊C4×C73C2311yescharacteristic
366C2×C4⋊C4×C73C2311yescharacteristic
367C2×C4⋊C4×C73C2311yescharacteristic
368C2×C4⋊C4×C73C2311yescharacteristic
369C2×C4⋊C4×C73C2311yescharacteristic
370C2×C4⋊C4×C73C2311yescharacteristic
371C2×C4⋊C4×C73C2311yescharacteristic
372C2×C4⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C22⋊C4×C73C2311yescharacteristic
377C2×C42×C73C2311yescharacteristic
378C2×C42×C73C2311yescharacteristic
379#95×C73C2311yescharacteristic
380#95×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382#95×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C23×D73—22no—
392C23×D73—22no—
393C23×D73—22no—
394C23×D73—22no—
395C23×D73—22no—
396C23×D73—22no—
397C23×D73#4114yes—
398C23×D73C2411yescharacteristic
399C23×D73C2411yescharacteristic
400C23×D73C2411yescharacteristic
401C23×D73C2411yescharacteristic
402C2×Dic146—22no—
403C2×Dic146—41no—
404C2×Dic146—41no—
405C2×D292—22no—
406C2×D292—22no—
407C2×D292—22no—
408C2×D292—22no—
409C2×D292—22no—
410C2×D292—22no—
411C2×D292—22no—
412C2×D292—22no—
413C2×D292—22no—
414C2×D292—22no—
415C2×D292—22no—
416C2×D292—22no—
417C2×D292—22no—
418C2×D292—41no—
419C2×D292—41no—
420C2×C22⋊D73—22no—
421C2×C22⋊D73—22no—
422C2×C22⋊D73—22no—
423C2×C22⋊D73—22no—
424C2×C22⋊D73—22no—
425C2×C22⋊D73—22no—
426C22×Dic73—22no—
427C22×Dic73—22no—
428C22×Dic73—22no—
429C22×Dic73—22no—
430C22×Dic73—22no—
431C22×Dic73—22no—
432C22×Dic73—22no—
433C22×Dic73—41no—
434C22×Dic73—41no—
435C22×Dic73C2411yescharacteristic
436C22×Dic73C2411yescharacteristic
437C22×Dic73C2411yescharacteristic
438C22×Dic73C2411yescharacteristic
439C22×Dic73C2411yescharacteristic
440C22×Dic73C2411yescharacteristic
441C22×Dic73C2411yescharacteristic
442C22×Dic73C2411yescharacteristic
443C22×Dic73C2411yescharacteristic
444C22×Dic73C2411yescharacteristic
445C22×Dic73C2411yescharacteristic
446C22×Dic73C2411yescharacteristic
447C2×C4×D73—232no—
448C2×C4×D73—22no—
449C2×C4×D73—22no—
450C2×C4×D73—22no—
451C2×C4×D73—22no—
452C2×C4×D73—22no—
453C2×C4×D73—22no—
454C2×C4×D73—22no—
455C2×C4×D73—22no—
456C2×C4×D73—22no—
457C2×C4×D73—22no—
458C2×C4×D73—22no—
459C2×C4×D73—22no—
460C2×C4×D73—22no—
461C2×C4×D73—22no—
462C2×C4×D73—22no—
463C2×C4×D73—22no—
464C2×C4×D73—22no—
465C2×C4×D73—22no—
466C2×C4×D73—22no—
467C2×C4×D73—22no—
468C2×C4×D73—22no—
469C2×C4×D73—22no—
470C2×C4×D73—41no—
471C2×C4×D73—41no—
472C2×C4×D73—41no—
473C2×C4×D73—41no—
474C2×C4×D73—41no—
475C2×C4×D73—41no—
476C2×C4×D73—41no—
477C2×C4×D73—41no—
478C2×C4×D73—41no—
479C2×C4×D73—41no—
480C2×C4×D73—41no—
481C2×C4×D73—41no—
482C2×C4×D73—416no—
483C2×C4×D73—416no—
484C2×C4×D73—41no—
485C2×C4×D73—41no—
486C2×C4×D73—41no—
487C2×C4×D73—41no—
488C2×C4×D73C2×D414yes—
489C2×C4×D73C2×D414yes—
490C2×C4×D73C2×D414yes—
491C2×C4×D73#4114yes—
492C4⋊Dic73—22no—
493C4⋊Dic73—22no—
494C4⋊Dic73—22no—
495C4⋊Dic73—22no—
496C4⋊Dic73—41no—
497C4⋊Dic73—41no—
498C4⋊Dic73—41no—
499C4⋊Dic73C2×D414yes—
500#11924007—22no—
501#11924007—22no—
502#11924007—22no—
503#11924007—22no—
504#11924007—22no—
505#11924007—22no—
506#11924007—22no—
507#11924007—22no—
508#11924007—22no—
509#11924007—22no—
510#11924007—22no—
511#11924007—22no—
512#11924007—41no—
513#11924007—41no—
514#11924007—41no—
515#11924007—41no—
516#11924007—41no—
517#11924007—41no—
518#11924007C2×D414yes—
519#11924007C2×D414yes—
520C22⋊Dic73—22no—
521C22⋊Dic73—22no—
522#11924005—22no—
523#11924005—22no—
524#11924005—22no—
525#11924005—22no—
526#11924005—22no—
527#11924005—22no—
528#11924005—22no—
529#11924005—22no—
530#11924005—22no—
531#11924005—22no—
532#11924005—22no—
533#11924005—22no—
534#11924005—22no—
535#11924005—22no—
536#11924005—22no—
537#11924005—22no—
538#11924005—22no—
539#11924005—22no—
540#11924005—22no—
541#11924005—22no—
542#11924005—22no—
543#11924005—22no—
544#11924005—22no—
545#11924005—22no—
546#11924005—41no—
547#11924005—41no—
548#11924005—41no—
549#11924005—41no—
550#11924005—41no—
551#11924005—41no—
552#11924005—41no—
553#11924005—41no—
554C4×Dic73—22no—
555C4×Dic73—41no—
556C4×Dic73—41no—
557C4×Dic73—41no—
558C24×C73C2411yescharacteristic
559C22×C4×C73—22no—
560C22×C4×C73—22no—
561C22×C4×C73—22no—
562C22×C4×C73—22no—
563C22×C4×C73—22no—
564C22×C4×C73—22no—
565C22×C4×C73—22no—
566C22×C4×C73—41no—
567C22×C4×C73—41no—
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
578C22×C4×C73C2411yescharacteristic
579C22×C4×C73C2411yescharacteristic
580C22×C4×C73C2411yescharacteristic
581C22×C4×C73C2411yescharacteristic
582C4⋊C4×C73—22no—
583C4⋊C4×C73—22no—
584C4⋊C4×C73—22no—
585C4⋊C4×C73—22no—
586C4⋊C4×C73—22no—
587C4⋊C4×C73—22no—
588C4⋊C4×C73—22no—
589C4⋊C4×C73—22no—
590C4⋊C4×C73—22no—
591C4⋊C4×C73—22no—
592C4⋊C4×C73—41no—
593C4⋊C4×C73—41no—
594C4⋊C4×C73—41no—
595C4⋊C4×C73C2×D414yes—
596C22⋊C4×C73—22no—
597C22⋊C4×C73—22no—
598C22⋊C4×C73—22no—
599C22⋊C4×C73—22no—
600C42×C73—22no—
601C42×C73—41no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73C2×#4112yes—
607C23×C73H(5,𝔽2)12yes—
608C23×C732−1+412yes—
609C23×C73C2511yescharacteristic
610C22×D73—28no—
611C22×D73—28no—
612C22×D73—28no—
613C22×D73—28no—
614C22×D73—28no—
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—28no—
624C22×D73—28no—
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—21no—
639C22×D73C22×D412yes—
640C22×D73C2×#4112yes—
641C22×D73C2×#4112yes—
642C22×D73C2×#4112yes—
643C22×D73H(5,𝔽2)12yes—
644C22×D732−1+412yes—
645C2×C4×C73—28no—
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—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—44no—
685C2×C4×C73—44no—
686C2×C4×C73C22×D412yes—
687C2×C4×C73C22×D412yes—
688C2×C4×C73C22×D412yes—
689C2×C4×C73C2×#4112yes—
690C22⋊D73—44no—
691C22⋊D73—44no—
692C2×Dic73—28no—
693C2×Dic73—21no—
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—44no—
726C2×Dic73—44no—
727C2×Dic73C22×D412yes—
728C2×Dic73C22×D412yes—
729C2×Dic73C22×D412yes—
730C2×Dic73C2×#4112yes—
731D292—44no—
732D292—44no—
733D292—44no—
734D292—44no—
735D292—82no—
736C4×D73—28no—
737C4×D73—28no—
738C4×D73—28no—
739C4×D73—28no—
740C4×D73—44no—
741C4×D73—44no—
742C4×D73—44no—
743C4×D73—44no—
744C4×D73—44no—
745C4×D73—44no—
746C4×D73—44no—
747C4×D73—44no—
748C4×D73—82no—
749C4×D73—82no—
750Dic146—82no—
751C22×C73—22no—
752C22×C73—22no—
753C22×C73—22no—
754C22×C73—22no—
755C22×C73—22no—
756C22×C73—22no—
757C22×C73#53914yescomplemented
758C22×C73C23×D411yescharacteristic
759C22×C73C22×#4111yescharacteristic
760C22×C73C22×#4111yescharacteristic
761C22×C73C2×H(5,𝔽2)11yescharacteristic
762C22×C73C2×H(5,𝔽2)11yescharacteristic
763C22×C73C2×2−1+411yescharacteristic
764C22×C73C2×2−1+411yescharacteristic
765C2×D73—232no—
766C2×D73—22no—
767C2×D73—22no—
768C2×D73—22no—
769C2×D73—22no—
770C2×D73—22no—
771C2×D73—22no—
772C2×D73—22no—
773C2×D73—22no—
774C2×D73—22no—
775C2×D73—22no—
776C2×D73—22no—
777C2×D73—22no—
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#52514yes—
793C2×D73#53914yescomplemented
794C4×C73—22no—
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—
806C4×C73—41no—
807C4×C73—41no—
808Dic73—22no—
809Dic73—22no—
810Dic73—22no—
811Dic73—22no—
812Dic73—41no—
813Dic73—41no—
814Dic73—41no—
815Dic73—41no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820#34989—731nomaximal, Sylow
821C2×C73—24no—
822C2×C73C2×#52511yescharacteristic
823C2×C73C2×#53911yescharacteristic
824C2×C73C2×#53911yescharacteristic
825C2×C73#348411yescharacteristic
826C2×C73#348611yescharacteristic
827C2×C73#349211yescharacteristic
828C2×C73#349211yescharacteristic
829D73—24no—
830D73—24no—
831D73—81no—
832D73—81no—
833C2×#539—731no—
834C23×C4⋊C4—731no—
835#2849—731no—
836#2849—731no—
837#2848—731no—
838#2847—731no—
839#2627—731no—
840#2623—731no—
841#2623—731no—
842#2618—731no—
843#2481—731no—
844#2481—731no—
845#2481—731no—
846#2481—731no—
847#2473—731no—
848#2473—731no—
849#2473—731no—
850#2473D7311yescharacteristic, complemented
851#2449—731no—
852#2449—731no—
853#2449—731no—
854#2449—731no—
855#2443—731no—
856#2443—731no—
857#2443—731no—
858#2443—731no—
859#2322—731no—
860#2322—731no—
861#2313—731no—
862C4×#120—731no—
863C4×#120—731no—
864C73#3498911yescharacteristic, complemented, Sylow
865C24×C4—731no—
866C24×C4—731no—
867C24×C4—731no—
868#539—1468no—
869C2×#126—731no—
870C2×#126—731no—
871C2×#125—731no—
872C2×#125C2×D7311yescharacteristic, complemented
873C2×#123—731no—
874C2×#123—731no—
875C2×#123—731no—
876C2×#123—731no—
877C2×#123—731no—
878C2×#123—731no—
879C2×C22⋊Q8—731no—
880C2×C22⋊Q8—731no—
881C2×C22⋊Q8—731no—
882C2×C22⋊Q8—731no—
883C2×C22⋊Q8—731no—
884C2×#121—731no—
885C2×#121—731no—
886C2×#121—731no—
887C2×#120—731no—
888C2×#120—731no—
889C2×C4×D4—731no—
890C2×C4×D4—731no—
891C2×C4×D4—731no—
892C2×C4×D4—731no—
893C2×C4×D4—731no—
894C2×C4×D4—731no—
895C22×C4⋊C4—731no—
896C22×C4⋊C4—731no—
897C22×C4⋊C4—731no—
898C22×C4⋊C4—731no—
899C22×C4⋊C4—731no—
900C22×C4⋊C4—731no—
901C22×C4⋊C4—731no—
902C22×C4⋊C4—731no—
903C22×C4⋊C4—731no—
904C22×C4⋊C4—731no—
905C22×C4⋊C4—731no—
906C22×C4⋊C4—1468no—
907C22×C4⋊C4C2×D7311yescharacteristic
908#400—731no—
909#400—731no—
910#400—731no—
911#400—731no—
912#400—731no—
913#400C2×D7311yescharacteristic, complemented
914#399—731no—
915#399—731no—
916#399—731no—
917#399—731no—
918#398—731no—
919#398—731no—
920#398—731no—
921#398—731no—
922#398—731no—
923#398—731no—
924#398—731no—
925#398C2×D7311yescharacteristic, complemented
926#398C2×D7311yescharacteristic, complemented
927#398C2×D7311yescharacteristic, complemented
928#397—731no—
929#397—731no—
930#397—731no—
931#397—731no—
932#396—731no—
933#396—731no—
934#396—731no—
935#396—731no—
936#395—731no—
937#395—731no—
938#394—731no—
939#394—731no—
940#389—731no—
941#389—731no—
942#389—731no—
943#389C2×D7311yescharacteristic, complemented
944#388—731no—
945#388—731no—
946#388—731no—
947#388—731no—
948#387—731no—
949#387—731no—
950#387—731no—
951#387—731no—
952#387—731no—
953#387—731no—
954#387—731no—
955#387—731no—
956#387—731no—
957#387—731no—
958#387C2×D7311yescharacteristic, complemented
959#387C2×D7311yescharacteristic, complemented
960#386—731no—
961#386—731no—
962#386—731no—
963#386—731no—
964#386—731no—
965#386—731no—
966#386—731no—
967#386—731no—
968#386—731no—
969#386—731no—
970#386—731no—
971#386—731no—
972#386—731no—
973#386—731no—
974#386—731no—
975#386—731no—
976#386—731no—
977#386—731no—
978#386—731no—
979#386—731no—
980#385—731no—
981#385—731no—
982#385—731no—
983#385—731no—
984#385—731no—
985#385—731no—
986#385—731no—
987#385—731no—
988#385—731no—
989#385—731no—
990#385—731no—
991#385—731no—
992#385—731no—
993#385—731no—
994#385—731no—
995#385—731no—
996#385—731no—
997#385—731no—
998#385—731no—
999#385—731no—
1000#385C2×D7311yescharacteristic
1001#385C2×D7311yescharacteristic
1002#385C2×D7311yescharacteristic
1003#385C2×D7311yescharacteristic
1004#381—731no—
1005#381—731no—
1006#381—731no—
1007#381—731no—
1008#380—731no—
1009#380—731no—
1010#380—731no—
1011#380—731no—
1012#380—731no—
1013#380C2×D7311yescharacteristic
1014#379—731no—
1015#379—731no—
1016C4×C22⋊C4—731no—
1017C4×C22⋊C4—731no—
1018C4×C22⋊C4—731no—
1019C4×C22⋊C4—731no—
1020C4×C22⋊C4—731no—
1021C4×C22⋊C4C2×D7311yescharacteristic
1022C25—731no—
1023C22×Q8—731no—
1024C22×D4—731no—
1025C22×D4—731no—
1026C22×D4—731no—
1027C22×D4—731no—
1028C22×D4—731no—
1029C22×D4—731no—
1030C22×D4—731no—
1031C23×C4—2922no—
1032C23×C4—2922no—
1033C23×C4—2922no—
1034C23×C4—2922no—
1035C23×C4—731no—
1036C23×C4—731no—
1037C23×C4—731no—
1038C23×C4—731no—
1039C23×C4—731no—
1040C23×C4—731no—
1041C23×C4—731no—
1042C23×C4—731no—
1043C23×C4—731no—
1044C23×C4—731no—
1045C23×C4—731no—
1046C23×C4—731no—
1047C23×C4—731no—
1048C23×C4—731no—
1049C23×C4—731no—
1050C23×C4—731no—
1051C23×C4—731no—
1052C23×C4—1464no—
1053C23×C4—1464no—
1054C23×C4—1464no—
1055C23×C4—1464no—
1056C23×C4—1464no—
1057C23×C4C22×D7311yescharacteristic
1058C23×C4C22×D7311yescharacteristic
1059C23×C4C22×D7311yescharacteristic
1060#126—1464no—
1061#126—1464no—
1062#125—24no—
1063#125—1464no—
1064#123—1464no—
1065#123—1464no—
1066#123—1464no—
1067#123—1464no—
1068#123—1464no—
1069#123—1464no—
1070C22⋊Q8—2922no—
1071C22⋊Q8—2922no—
1072C22⋊Q8—1464no—
1073C22⋊Q8—1464no—
1074C22⋊Q8—1464no—
1075#121—2922no—
1076#121—2922no—
1077#121—1464no—
1078#120—1464no—
1079#120—1464no—
1080C4×D4—2922no—
1081C4×D4—2922no—
1082C4×D4—2922no—
1083C4×D4—2922no—
1084C4×D4—1464no—
1085C4×D4—1464no—
1086C2×C4⋊C4—24no—
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—738no—
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—731no—
1111C2×C4⋊C4—731no—
1112C2×C4⋊C4—731no—
1113C2×C4⋊C4—731no—
1114C2×C4⋊C4—731no—
1115C2×C4⋊C4—731no—
1116C2×C4⋊C4—1464no—
1117C2×C4⋊C4—1464no—
1118C2×C4⋊C4—1464no—
1119C2×C4⋊C4—1464no—
1120C2×C4⋊C4—1464no—
1121C2×C4⋊C4—1464no—
1122C2×C4⋊C4—1464no—
1123C2×C4⋊C4—1464no—
1124C2×C4⋊C4—1464no—
1125C2×C4⋊C4—1464no—
1126C2×C4⋊C4C22×D7311yescharacteristic
1127C2×C4⋊C4C22×D7311yescharacteristic
1128C2×C4⋊C4C22×D7311yescharacteristic
1129C2×C4⋊C4C22×D7311yescharacteristic
1130C2×C4⋊C4C22×D7311yescharacteristic
1131C2×C4⋊C4C22×D7311yescharacteristic
1132C2×C4⋊C4C22×D7311yescharacteristic
1133C2×C4⋊C4C22×D7311yescharacteristic
1134C2×C4⋊C4C22×D7311yescharacteristic
1135C2×C4⋊C4C22×D7311yescharacteristic
1136C2×C4⋊C4C22×D7311yescharacteristic
1137C2×C4⋊C4C22×D7311yescharacteristic
1138C2×C4⋊C4C22×D7311yescharacteristic
1139C2×C4⋊C4C22×D7311yescharacteristic
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—731no—
1161C2×C22⋊C4—731no—
1162C2×C22⋊C4—731no—
1163C2×C22⋊C4—731no—
1164C2×C22⋊C4—731no—
1165C2×C22⋊C4—731no—
1166C2×C22⋊C4—731no—
1167C2×C22⋊C4—731no—
1168C2×C22⋊C4—731no—
1169C2×C22⋊C4—731no—
1170C2×C22⋊C4—731no—
1171C2×C22⋊C4—731no—
1172C2×C22⋊C4—731no—
1173C2×C22⋊C4—731no—
1174C2×C22⋊C4C22×D7311yescharacteristic
1175C2×C22⋊C4C22×D7311yescharacteristic
1176C2×C22⋊C4C22×D7311yescharacteristic
1177C2×C22⋊C4C22×D7311yescharacteristic
1178C2×C42—731no—
1179C2×C42—731no—
1180C2×C42—731no—
1181C2×C42—731no—
1182C2×C42C22×D7311yescharacteristic
1183C2×C42C22×D7311yescharacteristic
1184#95—731no—
1185#95—731no—
1186#95—731no—
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#95—731no—
1212#95C22×D7311yescharacteristic
1213#95C22×D7311yescharacteristic
1214#95C22×D7311yescharacteristic
1215#95C22×D7311yescharacteristic
1216#95C22×D7311yescharacteristic
1217#95C22×D7311yescharacteristic
1218#95C22×D7311yescharacteristic
1219#95C22×D7311yescharacteristic
1220#95C22×D7311yescharacteristic
1221#95C22×D7311yescharacteristic
1222#95C22×D7311yescharacteristic
1223#95C22×D7311yescharacteristic
1224C24—731no—
1225C24—731no—
1226C24—734no—
1227C24—731no—
1228C24—731no—
1229C24—1462no—
1230C24—1462no—
1231C24—1462no—
1232C24—1462no—
1233C24—1462no—
1234C24—1462no—
1235C24C23×D7311yescharacteristic
1236C2×Q8—2921no—
1237C2×Q8—2921no—
1238C2×Q8—1462no—
1239C2×D4—2921no—
1240C2×D4—2921no—
1241C2×D4—1462no—
1242C2×D4—1462no—
1243C2×D4—1462no—
1244C2×D4—1462no—
1245C2×D4—1462no—
1246C2×D4—1462no—
1247C2×D4—1462no—
1248C2×D4—1462no—
1249C2×D4—1462no—
1250C2×D4—1462no—
1251C2×D4—1462no—
1252C2×D4—1462no—
1253C2×D4—1462no—
1254C2×D4—1462no—
1255C2×D4—1462no—
1256C2×D4—1462no—
1257C2×D4—1462no—
1258C2×D4—1462no—
1259C2×D4—1462no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—2921no—
1270C22×C4—2921no—
1271C22×C4—2921no—
1272C22×C4—2921no—
1273C22×C4—2921no—
1274C22×C4—2921no—
1275C22×C4—2921no—
1276C22×C4—2921no—
1277C22×C4—2921no—
1278C22×C4—2921no—
1279C22×C4—2921no—
1280C22×C4—2921no—
1281C22×C4—2921no—
1282C22×C4—2921no—
1283C22×C4—2921no—
1284C22×C4—2921no—
1285C22×C4—29216no—
1286C22×C4—29216no—
1287C22×C4—2921no—
1288C22×C4—2921no—
1289C22×C4—734no—
1290C22×C4—734no—
1291C22×C4—731no—
1292C22×C4—731no—
1293C22×C4—731no—
1294C22×C4—731no—
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—1462no—
1306C22×C4—1462no—
1307C22×C4—1462no—
1308C22×C4—1462no—
1309C22×C4—1462no—
1310C22×C4—1462no—
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—1462no—
1321C22×C4—1462no—
1322C22×C4—14632no—
1323C22×C4—1462no—
1324C22×C4—1462no—
1325C22×C4—1462no—
1326C22×C4—1462no—
1327C22×C4—1462no—
1328C22×C4—1462no—
1329C22×C4—1462no—
1330C22×C4—1462no—
1331C22×C4—1462no—
1332C22×C4—1462no—
1333C22×C4—1462no—
1334C22×C4—1462no—
1335C22×C4C23×D7311yescharacteristic
1336C22×C4C23×D7311yescharacteristic
1337C22×C4C23×D7311yescharacteristic
1338C22×C4C23×D7311yescharacteristic
1339C22×C4C23×D7311yescharacteristic
1340C22×C4C23×D7311yescharacteristic
1341C22×C4C23×D7311yescharacteristic
1342C22×C4C23×D7311yescharacteristic
1343C22×C4C23×D7311yescharacteristic
1344C22×C4C23×D7311yescharacteristic
1345C22×C4C23×D7311yescharacteristic
1346C22×C4C23×D7311yescharacteristic
1347C22×C4C23×D7311yescharacteristic
1348C22×C4C23×D7311yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—2921no—
1363C4⋊C4—2921no—
1364C4⋊C4—2921no—
1365C4⋊C4—2921no—
1366C4⋊C4—2921no—
1367C4⋊C4—2921no—
1368C4⋊C4—2921no—
1369C4⋊C4—2921no—
1370C4⋊C4—2921no—
1371C4⋊C4—734no—
1372C4⋊C4—734no—
1373C4⋊C4—734no—
1374C4⋊C4—1462no—
1375C4⋊C4—1462no—
1376C4⋊C4—1462no—
1377C4⋊C4—1462no—
1378C4⋊C4—1462no—
1379C4⋊C4—1462no—
1380C4⋊C4—1462no—
1381C4⋊C4—1462no—
1382C4⋊C4—1462no—
1383C4⋊C4—1462no—
1384C4⋊C4—1462no—
1385C4⋊C4—1462no—
1386C4⋊C4—1462no—
1387C4⋊C4—1462no—
1388C4⋊C4—1462no—
1389C4⋊C4—1462no—
1390C4⋊C4D4×D7314yes—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—2921no—
1396C22⋊C4—2921no—
1397C22⋊C4—2921no—
1398C22⋊C4—2921no—
1399C22⋊C4—2921no—
1400C22⋊C4—2921no—
1401C22⋊C4—2921no—
1402C22⋊C4—2921no—
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—
1414C22⋊C4—1462no—
1415C22⋊C4—1462no—
1416C22⋊C4—1462no—
1417C22⋊C4—1462no—
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—
1429C42—22no—
1430C42—41no—
1431C42—2921no—
1432C42—2921no—
1433C42—2921no—
1434C42—1462no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—732no—
1440C23—732no—
1441C23—732no—
1442C23—732no—
1443C23—732no—
1444C23—732no—
1445C23—1468no—
1446C23—1468no—
1447C23—1468no—
1448C23—1468no—
1449C23—1468no—
1450C23—1468no—
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—1468no—
1474C23#41×D7312yes—
1475C23#1455663712yes—
1476C23#1455663912yes—
1477C23C24×D7311yescharacteristic
1478Q8—5842no—
1479D4—2924no—
1480D4—2924no—
1481D4—2924no—
1482D4—2924no—
1483D4—2924no—
1484D4—2924no—
1485D4—5842no—
1486C2×C4—28no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
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—44no—
1526C2×C4—44no—
1527C2×C4—2924no—
1528C2×C4—2924no—
1529C2×C4—2924no—
1530C2×C4—2924no—
1531C2×C4—2924no—
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—1468no—
1544C2×C4—1468no—
1545C2×C4—1468no—
1546C2×C4—1468no—
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—1468no—
1572C2×C4—1461no—
1573C2×C4—1461no—
1574C2×C4—1461no—
1575C2×C4—1461no—
1576C2×C4—1461no—
1577C2×C4—1461no—
1578C2×C4—1461no—
1579C2×C4—1461no—
1580C2×C4C2×D4×D7312yes—
1581C2×C4C2×D4×D7312yes—
1582C2×C4C2×D4×D7312yes—
1583C2×C4#41×D7312yes—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—2921no—
1591C22—2921no—
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—734no—
1605C22—734no—
1606C22—14632no—
1607C22—1462no—
1608C22—1462no—
1609C22—1462no—
1610C22—1462no—
1611C22—1462no—
1612C22—1462no—
1613C22—1462no—
1614C22—1462no—
1615C22—1462no—
1616C22—1462no—
1617C22—1462no—
1618C22—1462no—
1619C22#1798918514yescomplemented
1620C22C22×D4×D7311yescharacteristic
1621C22C2×#41×D7311yescharacteristic
1622C22C2×#41×D7311yescharacteristic
1623C22H(5,𝔽2)×D7311yescharacteristic
1624C22C2×#1455663711yescharacteristic
1625C222−1+4×D7311yescharacteristic
1626C22C2×#1455663911yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—2921no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—1462no—
1650C4—1462no—
1651C4—1462no—
1652C4—1462no—
1653C2—24no—
1654C2—5841no—
1655C2—5841no—
1656C2—1464no—
1657C2—1464no—
1658C2#525×D7311yescharacteristic
1659C2#539×D7311yescharacteristic
1660C2C2×#1798918511yescharacteristic
1661C2#2262356111yescharacteristic
1662C2#2262358111yescharacteristic
1663C2#2262363111yescharacteristic
1664C2#2262363911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2473C2
prime radical#22618214C2
hypercenter#2473D73
hypocenterC73#34989
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2473

Complements

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

NH ≅ G/Ntype
1. C2×#17989185C2semidirect
2. C22×C4⋊C4×D73C2semidirect
3. #22618226C2semidirect
4. #22618226C2semidirect
5. #22618217C2semidirect
7. #22615749C2semidirect
8. #22615718C2semidirect
9. #22615712C2semidirect
10. #22615674C2semidirect
11. #22614196C2semidirect
12. #22614192C2semidirect
13. #22614189C2semidirect
14. #22614185C2semidirect
15. #22614077C2semidirect
16. #22614073C2semidirect
17. #22614068C2semidirect
18. #22613747C2semidirect
19. #22613742C2semidirect
20. #22613738C2semidirect
21. #22613735C2semidirect
22. #22613671C2semidirect
23. #22613670C2semidirect
24. #22613667C2semidirect
25. #22613666C2semidirect
26. #22612604C2semidirect
27. #22612595C2semidirect
28. #22612530C2semidirect
29. C4×#14556561C2semidirect
30. #22612432C2semidirect
31. C73×#2473C2semidirect
36. C2×#14556586C22semidirect
37. C2×#14556585C22semidirect
38. C2×#14556581C22semidirect
43. C2×#14556576C22semidirect
44. C2×#14556576C22semidirect
45. C2×#14556571C22semidirect
48. C2×#14556569C22semidirect
73. #17988529C22semidirect
74. #17988528C22semidirect
75. #17988528C22semidirect
76. #17988528C22semidirect
77. #17988526C22semidirect
78. #17988524C22semidirect
79. #17988522C22semidirect
80. #17988522C22semidirect
81. #17988522C22semidirect
82. #17988521C22semidirect
83. #17988521C22semidirect
84. #17988520C22semidirect
85. #17988520C22semidirect
86. #17988518C22semidirect
87. #17988517C22semidirect
88. #17988517C22semidirect
89. #17988516C22semidirect
90. #17988516C22semidirect
91. #17988514C22semidirect
92. #17988513C22semidirect
93. #17988511C22semidirect
94. #17988511C22semidirect
95. #17988509C22semidirect
96. #17988509C22semidirect
97. #17988508C22semidirect
98. #17988507C22semidirect
99. #17988505C22semidirect
100. #17988504C22semidirect
101. #17988486C22semidirect
102. #17988484C22semidirect
103. #17988482C22semidirect
104. #17988479C22semidirect
105. #17988478C22semidirect
106. #17988477C22semidirect
107. #17988476C22semidirect
108. #17988474C22semidirect
109. #17988473C22semidirect
110. #17988473C22semidirect
111. #17988472C22semidirect
112. #17988471C22semidirect
113. #17988471C22semidirect
114. #17988470C22semidirect
115. #17988469C22semidirect
116. #17988469C22semidirect
117. #17988468C22semidirect
143. #17988461C22semidirect
144. #17988461C22semidirect
156. #17988458C22semidirect
157. #17988458C22semidirect
174. C2×#125×C73C22semidirect
176. #400×C73C22semidirect
177. #398×C73C22semidirect
178. #398×C73C22semidirect
179. #398×C73C22semidirect
180. #389×C73C22semidirect
181. #387×C73C22semidirect
182. #387×C73C22semidirect
287. C4⋊C4×D73D4semidirect
757. C22×C73#539semidirect
793. C2×D73#539semidirect
850. #2473D73semidirect
864. C73#34989semidirect
872. C2×#125C2×D73semidirect
913. #400C2×D73semidirect
925. #398C2×D73semidirect
926. #398C2×D73semidirect
927. #398C2×D73semidirect
943. #389C2×D73semidirect
958. #387C2×D73semidirect
959. #387C2×D73semidirect
1619. C22#17989185semidirect

Maximal subgroups

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

subgroupindex
C2×#179891852
C22×C4⋊C4×D732
#226182262
#226182172
#226182142
#226157492
#226157182
#226157122
#226156742
#226141962
#226141922
#226141892
#226141852
#226140772
#226140732
#226140682
#226137472
#226137422
#226137382
#226137352
#226136712
#226136702
#226136672
#226136662
#226126042
#226125952
#226125302
C4×#145565612
#226124322
C73×#24732
#3498973