Finite Group Databasebeta

← #33258930

Subgroups — #33258930

Order 18688.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989170C211yesmaximal, characteristic, complemented
2#22618296C211yesmaximal, characteristic, complemented
3#22618286C211yesmaximal, characteristic, complemented
4#22618274C211yesmaximal, characteristic, complemented
5#22618260C211yesmaximal, characteristic, complemented
6#22616071C211yesmaximal, characteristic, complemented
7#22616070C211yesmaximal, characteristic, complemented
8#22616060C211yesmaximal, characteristic, complemented
9#22616059C211yesmaximal, characteristic, complemented
10#22615004C211yesmaximal, characteristic, complemented
11#22615002C211yesmaximal, characteristic, complemented
12#22614989C211yesmaximal, characteristic, complemented
13#22614987C211yesmaximal, characteristic, complemented
14#22614516C211yesmaximal, characteristic, complemented
15#22614291C211yesmaximal, characteristic, complemented
16#22614064C211yesmaximal, characteristic, complemented
17#22614056C211yesmaximal, characteristic, complemented
18#22613695C211yesmaximal, characteristic, complemented
19#22613630C211yesmaximal, characteristic, complemented
20#22613566C211yesmaximal, characteristic, complemented
21#22613516C211yesmaximal, characteristic, complemented
22#22613473C211yesmaximal, characteristic, complemented
23#22613471C211yesmaximal, characteristic, complemented
24#22613368C211yesmaximal, characteristic, complemented
25#22613284C211yesmaximal, characteristic, complemented
26#22612589C211yesmaximal, characteristic, complemented
27#22612585C211yesmaximal, characteristic, complemented
28C4×#14556563C211yesmaximal, characteristic, complemented
29C2×#17988487C211yesmaximal, characteristic, complemented
30C4×D4×Dic73C211yesmaximal, characteristic, complemented
31C2×#538×C73C211yesmaximal, characteristic, complemented
32C23×C22⋊D73C2211yescharacteristic
33#17989170—28no—
34C2×#14556589C2211yescharacteristic, complemented
35C2×#14556587C2211yescharacteristic
36C2×#14556587C2211yescharacteristic
37C2×#14556586C2211yescharacteristic, complemented
38C2×#14556585C2211yescharacteristic, complemented
39C2×#14556580C2211yescharacteristic, complemented
40C2×#14556579C2211yescharacteristic, complemented
41C2×#14556578C2211yescharacteristic, complemented
42C2×#14556577C2211yescharacteristic, complemented
43C2×#14556576C2211yescharacteristic, complemented
44C2×#14556574C2211yescharacteristic, complemented
45C2×#14556568C2211yescharacteristic
46C2×#14556565C2211yescharacteristic, complemented
47C2×#14556564C2211yescharacteristic, complemented
48C2×#14556563C2211yescharacteristic
49C2×#14556563C2211yescharacteristic
50C2×#14556563C2211yescharacteristic
51C2×#14556563C2211yescharacteristic
52C2×#14556563C2211yescharacteristic, complemented
53C2×#14556563C2211yescharacteristic, complemented
54C2×#14556563C2211yescharacteristic, complemented
55C2×#14556561C2211yescharacteristic
56C2×#14556560C2211yescharacteristic
57C2×#14556559C2211yescharacteristic
58C2×#14556559C2211yescharacteristic
59C2×D4×Dic73C2211yescharacteristic
60C2×D4×Dic73C2211yescharacteristic
61C2×C4×C22⋊D73C2211yescharacteristic
62C2×C4×C22⋊D73C2211yescharacteristic, complemented
63C22×#11924007C2211yescharacteristic
64C22×C22⋊Dic73C2211yescharacteristic
65C22×#11924005C2211yescharacteristic
66C22×#11924005C2211yescharacteristic
67C22×C4×Dic73C2211yescharacteristic
68C22×C4×Dic73C2211yescharacteristic, complemented
69#17988518C2211yescharacteristic, complemented
70#17988517C2211yescharacteristic, complemented
71#17988513C2211yescharacteristic, complemented
72#17988512C2211yescharacteristic, complemented
73#17988510C2211yescharacteristic, complemented
74#17988510C2211yescharacteristic, complemented
75#17988509C2211yescharacteristic, complemented
76#17988509C2211yescharacteristic, complemented
77#17988507C2211yescharacteristic, complemented
78#17988506C2211yescharacteristic, complemented
79#17988504C2211yescharacteristic, complemented
80#17988504C2211yescharacteristic, complemented
81#17988503C2211yescharacteristic
82#17988503C2211yescharacteristic
83#17988503C2211yescharacteristic, complemented
84#17988503C2211yescharacteristic, complemented
85#17988502C2211yescharacteristic, complemented
86#17988502C2211yescharacteristic, complemented
87#17988501C2211yescharacteristic, complemented
88#17988501C2211yescharacteristic, complemented
89#17988501C2211yescharacteristic, complemented
90#17988501C2211yescharacteristic, complemented
91#17988499C2211yescharacteristic, complemented
92#17988498C2211yescharacteristic, complemented
93#17988496C2211yescharacteristic
94#17988496C2211yescharacteristic
95#17988495C2211yescharacteristic
96#17988495C2211yescharacteristic
97#17988495C2211yescharacteristic
98#17988495C2211yescharacteristic
99#17988495C2211yescharacteristic, complemented
100#17988495C2211yescharacteristic, complemented
101#17988490C2211yescharacteristic, complemented
102#17988488C2211yescharacteristic, complemented
103#17988487C2211yescharacteristic
104#17988487C2211yescharacteristic
105#17988487C2211yescharacteristic
106#17988487C2211yescharacteristic
107#17988487C2211yescharacteristic
108#17988487C2211yescharacteristic
109#17988487C2211yescharacteristic
110#17988487C2211yescharacteristic
111#17988487C2211yescharacteristic
112#17988487C2211yescharacteristic
113#17988487C2211yescharacteristic
114#17988487C2211yescharacteristic
115#17988487C2211yescharacteristic, complemented
116#17988487C2211yescharacteristic, complemented
117#17988487C2211yescharacteristic, complemented
118#17988487C2211yescharacteristic, complemented
119#17988487C2211yescharacteristic, complemented
120#17988487C2211yescharacteristic, complemented
121#17988487C2211yescharacteristic, complemented
122#17988487C2211yescharacteristic, complemented
123#17988482C2211yescharacteristic, complemented
124#17988482C2211yescharacteristic, complemented
125#17988482C2211yescharacteristic, complemented
126#17988482C2211yescharacteristic, complemented
127#17988481C2211yescharacteristic, complemented
128#17988481C2211yescharacteristic, complemented
129#17988481C2211yescharacteristic, complemented
130#17988481C2211yescharacteristic, complemented
131#17988481C2211yescharacteristic, complemented
132#17988481C2211yescharacteristic, complemented
133#17988478C2211yescharacteristic, complemented
134#17988478C2211yescharacteristic, complemented
135#17988477C2211yescharacteristic, complemented
136#17988477C2211yescharacteristic, complemented
137#17988477C2211yescharacteristic, complemented
138#17988477C2211yescharacteristic, complemented
139#17988477C2211yescharacteristic, complemented
140#17988477C2211yescharacteristic, complemented
141#17988475C2211yescharacteristic, complemented
142#17988475C2211yescharacteristic, complemented
143#17988467C2211yescharacteristic
144#17988467C2211yescharacteristic
145#17988467C2211yescharacteristic, complemented
146#17988466C2211yescharacteristic
147#17988466C2211yescharacteristic, complemented
148#17988466C2211yescharacteristic, complemented
149#17988464C2211yescharacteristic
150#17988464C2211yescharacteristic, complemented
151#17988463C2211yescharacteristic, complemented
152#17988463C2211yescharacteristic, complemented
153#17988460C2211yescharacteristic
154#17988459C2211yescharacteristic
155#17988456C2211yescharacteristic, complemented
156#17988445C2211yescharacteristic
157#17988445C2211yescharacteristic, complemented
158#17988443C2211yescharacteristic
159#17988442C2211yescharacteristic
160C4⋊C4×Dic73C2211yescharacteristic, complemented
161C4⋊C4×Dic73C2211yescharacteristic, complemented
162C4×#11924007C2211yescharacteristic, complemented
163C4×C4⋊Dic73C2211yescharacteristic, complemented
164C22⋊C4×Dic73C2211yescharacteristic
165C22⋊C4×Dic73C2211yescharacteristic
166C22⋊C4×Dic73C2211yescharacteristic, complemented
167C22⋊C4×Dic73C2211yescharacteristic, complemented
168C4×#11924005C2211yescharacteristic, complemented
169C4×C22⋊Dic73C2211yescharacteristic
170C4×C22⋊Dic73C2211yescharacteristic, complemented
171C4×C22⋊Dic73C2211yescharacteristic, complemented
172C42×Dic73C2211yescharacteristic, complemented
173#538×C73—28no—
174C2×#126×C73C2211yescharacteristic, complemented
175C2×#126×C73C2211yescharacteristic, complemented
176C2×#124×C73C2211yescharacteristic, complemented
177C2×#124×C73C2211yescharacteristic, complemented
178C2×#123×C73C2211yescharacteristic, complemented
179C2×#123×C73C2211yescharacteristic, complemented
180C2×C22⋊Q8×C73C2211yescharacteristic
181C2×#121×C73C2211yescharacteristic
182C2×#121×C73C2211yescharacteristic, complemented
183C2×#121×C73C2211yescharacteristic, complemented
184C2×#120×C73C2211yescharacteristic
185C2×#120×C73C2211yescharacteristic
186C2×C4×D4×C73C2211yescharacteristic
187C2×C4×D4×C73C2211yescharacteristic
188C22×C22⋊C4×C73C2211yescharacteristic
189C24×D73C2311yescharacteristic
190C22×Dic146C2311yescharacteristic
191C22×D292C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×C22⋊D73—24no—
194C22×C22⋊D73—42no—
195C22×C22⋊D73—42no—
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C22×C22⋊D73C2311yescharacteristic
205C22×C22⋊D73C2311yescharacteristic
206C22×C22⋊D73C2311yescharacteristic
207C22×C22⋊D73C2311yescharacteristic
208C22×C22⋊D73C2311yescharacteristic
209C23×Dic73C2311yescharacteristic
210C23×Dic73C2311yescharacteristic
211C23×Dic73C2311yescharacteristic
212C23×Dic73C2311yescharacteristic
213C23×Dic73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215#14556589—42no—
216#14556587—42no—
217#14556587—42no—
218#14556586—24no—
219#14556585—24no—
220#14556580—42no—
221#14556579—24no—
222#14556578—42no—
223#14556577—24no—
224#14556576—24no—
225#14556574—24no—
226#14556568—24no—
227#14556565—24no—
228#14556564—24no—
229#14556563—24no—
230#14556563—24no—
231#14556563—42no—
232#14556563—42no—
233#14556563—42no—
234#14556563—42no—
235#14556563—42no—
236#14556561—24no—
237#14556560—24no—
238#14556559—24no—
239#14556559—24no—
240D4×Dic73—24no—
241D4×Dic73—24no—
242C4×C22⋊D73—24no—
243C4×C22⋊D73—42no—
244C2×C4⋊Dic73C2311yescharacteristic
245C2×C4⋊Dic73C2311yescharacteristic
246C2×C4⋊Dic73C2311yescharacteristic
247C2×#11924007—42no—
248C2×#11924007C2311yescharacteristic
249C2×#11924007C2311yescharacteristic
250C2×#11924007C2311yescharacteristic
251C2×#11924007C2311yescharacteristic
252C2×#11924007C2311yescharacteristic
253C2×#11924007C2311yescharacteristic
254C2×#11924007C2311yescharacteristic
255C2×#11924007C2311yescharacteristic
256C2×#11924007C2311yescharacteristic
257C2×#11924007C2311yescharacteristic
258C2×#11924007C2311yescharacteristic
259C2×#11924007C2311yescharacteristic
260C2×#11924007C2311yescharacteristic
261C2×#11924007C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C2×C22⋊Dic73—42no—
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×C22⋊Dic73C2311yescharacteristic
267C2×C22⋊Dic73C2311yescharacteristic
268C2×C22⋊Dic73C2311yescharacteristic
269C2×C22⋊Dic73C2311yescharacteristic
270C2×C22⋊Dic73C2311yescharacteristic
271C2×C22⋊Dic73C2311yescharacteristic
272C2×C22⋊Dic73C2311yescharacteristic
273C2×C22⋊Dic73C2311yescharacteristic
274C2×C22⋊Dic73C2311yescharacteristic
275C2×C22⋊Dic73C2311yescharacteristic
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×C22⋊Dic73C2311yescharacteristic
282C2×C22⋊Dic73C2311yescharacteristic
283C2×C22⋊Dic73C2311yescharacteristic
284C2×C22⋊Dic73C2311yescharacteristic
285C2×#11924005—24no—
286C2×#11924005—42no—
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×#11924005C2311yescharacteristic
312C2×C4×Dic73—42no—
313C2×C4×Dic73—42no—
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
324C2×C4×Dic73C2311yescharacteristic
325C2×C4×Dic73C2311yescharacteristic
326C2×C4×Dic73C2311yescharacteristic
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
347C25×C73C2311yescharacteristic
348C22×Q8×C73C2311yescharacteristic
349C22×D4×C73C2311yescharacteristic
350C22×D4×C73C2311yescharacteristic
351C22×D4×C73C2311yescharacteristic
352C22×D4×C73C2311yescharacteristic
353C22×D4×C73C2311yescharacteristic
354C22×D4×C73C2311yescharacteristic
355C22×D4×C73C2311yescharacteristic
356C23×C4×C73C2311yescharacteristic
357C23×C4×C73C2311yescharacteristic
358C23×C4×C73C2311yescharacteristic
359C23×C4×C73C2311yescharacteristic
360#126×C73—24no—
361#126×C73—24no—
362#124×C73—24no—
363#124×C73—24no—
364#123×C73—24no—
365#123×C73—24no—
366C22⋊Q8×C73—24no—
367#121×C73—24no—
368#121×C73—24no—
369#121×C73—24no—
370#120×C73—24no—
371#120×C73—24no—
372C4×D4×C73—24no—
373C4×D4×C73D418yescomplemented
374C2×C4⋊C4×C73C2311yescharacteristic
375C2×C4⋊C4×C73C2311yescharacteristic
376C2×C4⋊C4×C73C2311yescharacteristic
377C2×C4⋊C4×C73C2311yescharacteristic
378C2×C4⋊C4×C73C2311yescharacteristic
379C2×C4⋊C4×C73C2311yescharacteristic
380C2×C22⋊C4×C73—24no—
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×C22⋊C4×C73C2311yescharacteristic
391C2×C22⋊C4×C73C2311yescharacteristic
392C2×C22⋊C4×C73C2311yescharacteristic
393C2×C22⋊C4×C73C2311yescharacteristic
394C2×C22⋊C4×C73C2311yescharacteristic
395C2×C42×C73C2311yescharacteristic
396C2×C42×C73C2311yescharacteristic
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—22no—
400C23×D73—41no—
401C23×D73—41no—
402C23×D73—41no—
403C23×D73—41no—
404C23×D73C2411yescharacteristic
405C23×D73C2411yescharacteristic
406C23×D73C2411yescharacteristic
407C2×Dic146—22no—
408C2×Dic146—41no—
409C2×Dic146—41no—
410C2×D292—22no—
411C2×D292—22no—
412C2×D292—41no—
413C2×D292—41no—
414C2×D292—41no—
415C2×D292—41no—
416C2×C22⋊D73—22no—
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—22no—
427C2×C22⋊D73—22no—
428C2×C22⋊D73—22no—
429C2×C22⋊D73—22no—
430C2×C22⋊D73—22no—
431C2×C22⋊D73—22no—
432C2×C22⋊D73—22no—
433C2×C22⋊D73—22no—
434C2×C22⋊D73—22no—
435C2×C22⋊D73—22no—
436C2×C22⋊D73—22no—
437C2×C22⋊D73—41no—
438C2×C22⋊D73—41no—
439C2×C22⋊D73—41no—
440C2×C22⋊D73—41no—
441C2×C22⋊D73—416no—
442C2×C22⋊D73—41no—
443C2×C22⋊D73—41no—
444C2×C22⋊D73—41no—
445C2×C22⋊D73—41no—
446C2×C22⋊D73—41no—
447C2×C22⋊D73—41no—
448C2×C22⋊D73—41no—
449C2×C22⋊D73—41no—
450C2×C22⋊D73—41no—
451C2×C22⋊D73—41no—
452C2×C22⋊D73—41no—
453C2×C22⋊D73—41no—
454C2×C22⋊D73—41no—
455C2×C22⋊D73—41no—
456C22×Dic73—22no—
457C22×Dic73—22no—
458C22×Dic73—22no—
459C22×Dic73—22no—
460C22×Dic73—22no—
461C22×Dic73—22no—
462C22×Dic73—22no—
463C22×Dic73—22no—
464C22×Dic73—22no—
465C22×Dic73—22no—
466C22×Dic73—41no—
467C22×Dic73—41no—
468C22×Dic73—41no—
469C22×Dic73—41no—
470C22×Dic73#4114yes—
471C22×Dic73C2411yescharacteristic
472C22×Dic73C2411yescharacteristic
473C22×Dic73C2411yescharacteristic
474C22×Dic73C2411yescharacteristic
475C22×Dic73C2411yescharacteristic
476C22×Dic73C2411yescharacteristic
477C22×Dic73C2411yescharacteristic
478C22×Dic73C2411yescharacteristic
479C22×Dic73C2411yescharacteristic
480C22×Dic73C2411yescharacteristic
481C22×Dic73C2411yescharacteristic
482C22×Dic73C2411yescharacteristic
483C22×Dic73C2411yescharacteristic
484C2×C4×D73—22no—
485C2×C4×D73—41no—
486C2×C4×D73—41no—
487C4⋊Dic73—22no—
488C4⋊Dic73—22no—
489C4⋊Dic73—22no—
490#11924007—22no—
491#11924007—22no—
492#11924007—22no—
493#11924007—22no—
494#11924007—22no—
495#11924007—22no—
496#11924007—22no—
497#11924007—22no—
498#11924007—22no—
499#11924007—41no—
500#11924007—41no—
501#11924007—41no—
502#11924007—41no—
503#11924007—41no—
504#11924007—41no—
505C22⋊Dic73—22no—
506C22⋊Dic73—22no—
507C22⋊Dic73—22no—
508C22⋊Dic73—22no—
509C22⋊Dic73—22no—
510C22⋊Dic73—22no—
511C22⋊Dic73—22no—
512C22⋊Dic73—22no—
513C22⋊Dic73—22no—
514C22⋊Dic73—22no—
515C22⋊Dic73—22no—
516C22⋊Dic73—41no—
517C22⋊Dic73—41no—
518C22⋊Dic73—41no—
519C22⋊Dic73—41no—
520C22⋊Dic73—41no—
521C22⋊Dic73—41no—
522C22⋊Dic73—41no—
523C22⋊Dic73—41no—
524C22⋊Dic73—41no—
525C22⋊Dic73#4114yes—
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—41no—
543#11924005—41no—
544#11924005—41no—
545#11924005—41no—
546#11924005—41no—
547#11924005—41no—
548#11924005—41no—
549#11924005—41no—
550#11924005—41no—
551C4×Dic73—22no—
552C4×Dic73—22no—
553C4×Dic73—22no—
554C4×Dic73—22no—
555C4×Dic73—22no—
556C4×Dic73—22no—
557C4×Dic73—22no—
558C4×Dic73—22no—
559C4×Dic73—41no—
560C4×Dic73—41no—
561C4×Dic73—41no—
562C4×Dic73—41no—
563C4×Dic73—41no—
564C24×C73—22no—
565C24×C73—22no—
566C24×C73—22no—
567C24×C73—41no—
568C24×C73—41no—
569C24×C73—41no—
570C24×C73—41no—
571C24×C73C2411yescharacteristic
572C24×C73C2411yescharacteristic
573C24×C73C2411yescharacteristic
574C24×C73C2411yescharacteristic
575C24×C73C2411yescharacteristic
576C2×Q8×C73—22no—
577C2×Q8×C73—41no—
578C2×Q8×C73—41no—
579C2×D4×C73—22no—
580C2×D4×C73—22no—
581C2×D4×C73—22no—
582C2×D4×C73—22no—
583C2×D4×C73—22no—
584C2×D4×C73—22no—
585C2×D4×C73—22no—
586C2×D4×C73—22no—
587C2×D4×C73—22no—
588C2×D4×C73—22no—
589C2×D4×C73—41no—
590C2×D4×C73—41no—
591C2×D4×C73—41no—
592C2×D4×C73—41no—
593C2×D4×C73—41no—
594C2×D4×C73—41no—
595C2×D4×C73—41no—
596C2×D4×C73—41no—
597C2×D4×C73—41no—
598C2×D4×C73—41no—
599C2×D4×C73C2×D414yes—
600C22×C4×C73—22no—
601C22×C4×C73—22no—
602C22×C4×C73—41no—
603C22×C4×C73—41no—
604C22×C4×C73—41no—
605C22×C4×C73—41no—
606C22×C4×C73—41no—
607C22×C4×C73—41no—
608C22×C4×C73—41no—
609C22×C4×C73—41no—
610C22×C4×C73C2×D414yes—
611C22×C4×C73C2×D414yescomplemented
612C22×C4×C73C2411yescharacteristic
613C22×C4×C73C2411yescharacteristic
614C22×C4×C73C2411yescharacteristic
615C22×C4×C73C2411yescharacteristic
616C22×C4×C73C2411yescharacteristic
617C22×C4×C73C2411yescharacteristic
618C22×C4×C73C2411yescharacteristic
619C22×C4×C73C2411yescharacteristic
620C22×C4×C73C2411yescharacteristic
621C22×C4×C73C2411yescharacteristic
622C4⋊C4×C73—22no—
623C4⋊C4×C73—22no—
624C4⋊C4×C73—22no—
625C4⋊C4×C73—22no—
626C4⋊C4×C73—22no—
627C4⋊C4×C73C2×D414yescomplemented
628C22⋊C4×C73—22no—
629C22⋊C4×C73—22no—
630C22⋊C4×C73—22no—
631C22⋊C4×C73—22no—
632C22⋊C4×C73—22no—
633C22⋊C4×C73—22no—
634C22⋊C4×C73—22no—
635C22⋊C4×C73—22no—
636C22⋊C4×C73—22no—
637C22⋊C4×C73—22no—
638C22⋊C4×C73—22no—
639C22⋊C4×C73—22no—
640C22⋊C4×C73C2×D414yes—
641C22⋊C4×C73C2×D414yescomplemented
642C42×C73—22no—
643C42×C73C2×D414yescomplemented
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×C73—21no—
657C23×C73—21no—
658C23×C73—21no—
659C23×C73—21no—
660C23×C73—21no—
661C23×C73—21no—
662C23×C73—21no—
663C23×C73—21no—
664C23×C73—21no—
665C23×C73—21no—
666C23×C73—21no—
667C23×C73—21no—
668C23×C73—21no—
669C23×C73—21no—
670C23×C73—21no—
671C23×C73—21no—
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—44no—
676C23×C73—44no—
677C23×C73—44no—
678C23×C73—82no—
679C23×C73—82no—
680C23×C73—82no—
681C23×C73—82no—
682C23×C73C22×D412yes—
683C23×C73C22×D412yes—
684C23×C73C2×#4112yes—
685C23×C73C2×#4112yes—
686C23×C73C2511yescharacteristic
687C22×D73—21no—
688C22×D73—21no—
689C22×D73—21no—
690C22×D73—21no—
691C22×D73—21no—
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—21no—
704C22×D73—21no—
705C22×D73—21no—
706C22×D73—21no—
707C22×D73—21no—
708C22×D73—44no—
709C22×D73—44no—
710C22×D73—44no—
711C22×D73—82no—
712C22×D73—82no—
713C22×D73—82no—
714C22×D73—82no—
715Q8×C73—82no—
716D4×C73—28no—
717D4×C73—44no—
718D4×C73—82no—
719D4×C73—82no—
720D4×C73—82no—
721D4×C73—82no—
722D4×C73—82no—
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—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—44no—
749C2×C4×C73—44no—
750C2×C4×C73—82no—
751C2×C4×C73—82no—
752C2×C4×C73C22×D412yes—
753C2×C4×C73C22×D412yes—
754C2×C4×C73C22×D412yes—
755C2×C4×C73C22×D412yes—
756C2×C4×C73C22×D412yes—
757C22⋊D73—44no—
758C22⋊D73—44no—
759C22⋊D73—44no—
760C22⋊D73—44no—
761C22⋊D73—44no—
762C22⋊D73—44no—
763C22⋊D73—82no—
764C22⋊D73—82no—
765C22⋊D73—82no—
766C22⋊D73—82no—
767C22⋊D73—82no—
768C22⋊D73—82no—
769C22⋊D73—82no—
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—28no—
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—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—44no—
804C2×Dic73—44no—
805C2×Dic73—44no—
806C2×Dic73—82no—
807C2×Dic73C2×#4112yes—
808C2×Dic73C2×#4112yes—
809C2×Dic73C2×#4112yes—
810C2×Dic73C2×#4112yes—
811C2×Dic73H(5,𝔽2)12yes—
812C2×Dic73H(5,𝔽2)12yes—
813C2×Dic73H(5,𝔽2)12yes—
814D292—82no—
815D292—82no—
816C4×D73—82no—
817Dic146—82no—
818C22×C73—22no—
819C22×C73—22no—
820C22×C73—22no—
821C22×C73—22no—
822C22×C73—22no—
823C22×C73—22no—
824C22×C73—22no—
825C22×C73—22no—
826C22×C73—22no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—41no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—88no—
853C22×C73#53214yes—
854C22×C73C23×D411yescharacteristic
855C22×C73C22×#4111yescharacteristic
856C22×C73C22×#4111yescharacteristic
857C22×C73C2×H(5,𝔽2)11yescharacteristic
858C22×C73C2×H(5,𝔽2)11yescharacteristic
859C22×C73C2×H(5,𝔽2)11yescharacteristic
860C22×C73#58511yescharacteristic
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—41no—
864C2×D73—41no—
865C2×D73—41no—
866C2×D73—41no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—88no—
883C4×C73—22no—
884C4×C73—22no—
885C4×C73—22no—
886C4×C73—22no—
887C4×C73—22no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893Dic73—22no—
894Dic73—22no—
895Dic73—22no—
896Dic73—22no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73#53814yescomplemented
906#35007—731nomaximal, Sylow
907C2×C73—24no—
908C2×C73—42no—
909C2×C73—81no—
910C2×C73—81no—
911C2×C73—81no—
912C2×C73C2×#53211yescharacteristic
913C2×C73C2×#53811yescharacteristic
914C2×C73#346011yescharacteristic
915C2×C73#349611yescharacteristic
916C2×C73#349811yescharacteristic
917C2×C73#351411yescharacteristic
918C2×C73#351911yescharacteristic
919D73—81no—
920D73—81no—
921D73—81no—
922C2×#538—731no—
923C2×#538D7311yescharacteristic, complemented
924#2860—731no—
925#2858—731no—
926#2856—731no—
927#2854—731no—
928#2662—731no—
929#2662—731no—
930#2661—731no—
931#2661—731no—
932#2555—731no—
933#2555—731no—
934#2554—731no—
935#2554—731no—
936#2512—731no—
937#2491—731no—
938#2472—731no—
939#2472—731no—
940#2445—731no—
941#2440—731no—
942#2433—731no—
943#2428—731no—
944#2424—731no—
945#2424—731no—
946#2416—731no—
947#2408—731no—
948#2321—731no—
949#2321—731no—
950C4×#121—731no—
951C2×#390—731no—
952C42×D4—731no—
953C73#3500711yescharacteristic, complemented, Sylow
954C23×D4—731no—
955#538—28no—
956#538—1468no—
957C2×C4⋊Q8—731no—
958C2×#127—731no—
959C2×#127—731no—
960C2×#126—731no—
961C2×#126—731no—
962C2×#126C2×D7311yescharacteristic, complemented
963C2×#126C2×D7311yescharacteristic, complemented
964C2×#124—731no—
965C2×#124—731no—
966C2×#124—731no—
967C2×#124—731no—
968C2×#124C2×D7311yescharacteristic, complemented
969C2×#124C2×D7311yescharacteristic, complemented
970C2×#123—731no—
971C2×#123—731no—
972C2×#123C2×D7311yescharacteristic, complemented
973C2×#123C2×D7311yescharacteristic, complemented
974C2×C22⋊Q8—731no—
975C2×C22⋊Q8C2×D7311yescharacteristic
976C2×#121—731no—
977C2×#121—731no—
978C2×#121—731no—
979C2×#121—731no—
980C2×#121—731no—
981C2×#121—731no—
982C2×#121—731no—
983C2×#121—731no—
984C2×#121—731no—
985C2×#121C2×D7311yescharacteristic
986C2×#121C2×D7311yescharacteristic, complemented
987C2×#121C2×D7311yescharacteristic, complemented
988C2×#120—731no—
989C2×#120—731no—
990C2×#120—731no—
991C2×#120—731no—
992C2×#120C2×D7311yescharacteristic
993C2×#120C2×D7311yescharacteristic
994C2×C4×D4—731no—
995C2×C4×D4—731no—
996C2×C4×D4—731no—
997C2×C4×D4—731no—
998C2×C4×D4C2×D7311yescharacteristic
999C2×C4×D4C2×D7311yescharacteristic
1000C22×C4⋊C4—731no—
1001C22×C22⋊C4—731no—
1002C22×C22⋊C4—731no—
1003C22×C22⋊C4—731no—
1004C22×C22⋊C4C2×D7311yescharacteristic
1005C22×C42—731no—
1006C22×C42—731no—
1007#398—731no—
1008#398—731no—
1009#397—731no—
1010#397—731no—
1011#396—731no—
1012#396—731no—
1013#396—731no—
1014#396—731no—
1015#395—731no—
1016#395—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#394—731no—
1027#394—731no—
1028#394—731no—
1029#393—731no—
1030#393—731no—
1031#392—731no—
1032#392—731no—
1033#392—731no—
1034#392—731no—
1035#392—731no—
1036#392—731no—
1037#392—731no—
1038#392—731no—
1039#390—731no—
1040#390—731no—
1041#390—731no—
1042#390—731no—
1043#390—731no—
1044#390—731no—
1045#390—731no—
1046#390—731no—
1047#390—731no—
1048#390—731no—
1049#390—731no—
1050#390—731no—
1051#390—731no—
1052#390—731no—
1053#390—731no—
1054#390—731no—
1055#390—731no—
1056#390—731no—
1057#390—731no—
1058#390—731no—
1059#390—731no—
1060#390—731no—
1061#389—731no—
1062#389—731no—
1063#389—731no—
1064#389—731no—
1065#388—731no—
1066#388—731no—
1067#388—731no—
1068#388—731no—
1069#388—731no—
1070#388—731no—
1071#388—731no—
1072#388—731no—
1073#388—731no—
1074#388—731no—
1075#388—731no—
1076#388—731no—
1077#388—731no—
1078#388—731no—
1079#388—731no—
1080#388—731no—
1081#386—731no—
1082#386—731no—
1083#386—731no—
1084#386—731no—
1085#386—731no—
1086#386—731no—
1087#386—731no—
1088#386—731no—
1089#386—731no—
1090#386—731no—
1091#385—731no—
1092#385—731no—
1093#384—731no—
1094#380—731no—
1095#380—731no—
1096#379—731no—
1097#379—731no—
1098C4×C4⋊C4—731no—
1099C4×C4⋊C4—731no—
1100C4×C4⋊C4—731no—
1101C4×C4⋊C4—731no—
1102C4×C22⋊C4—731no—
1103C4×C22⋊C4—731no—
1104C4×C22⋊C4—731no—
1105C4×C22⋊C4—731no—
1106C4×C22⋊C4—731no—
1107C4×C22⋊C4—731no—
1108C4×C22⋊C4—731no—
1109C4×C22⋊C4—731no—
1110C43—731no—
1111C25—731no—
1112C25C22×D7311yescharacteristic
1113C22×Q8—731no—
1114C22×Q8C22×D7311yescharacteristic
1115C22×D4—2922no—
1116C22×D4—2922no—
1117C22×D4—731no—
1118C22×D4—731no—
1119C22×D4—731no—
1120C22×D4—731no—
1121C22×D4—731no—
1122C22×D4—731no—
1123C22×D4—731no—
1124C22×D4—731no—
1125C22×D4—731no—
1126C22×D4—731no—
1127C22×D4—731no—
1128C22×D4—731no—
1129C22×D4—731no—
1130C22×D4—731no—
1131C22×D4—731no—
1132C22×D4—1464no—
1133C22×D4C22×D7311yescharacteristic
1134C22×D4C22×D7311yescharacteristic
1135C22×D4C22×D7311yescharacteristic
1136C22×D4C22×D7311yescharacteristic
1137C22×D4C22×D7311yescharacteristic
1138C22×D4C22×D7311yescharacteristic
1139C22×D4C22×D7311yescharacteristic
1140C23×C4—731no—
1141C23×C4—731no—
1142C23×C4—731no—
1143C23×C4—731no—
1144C23×C4—731no—
1145C23×C4—731no—
1146C23×C4C22×D7311yescharacteristic
1147C23×C4C22×D7311yescharacteristic
1148C23×C4C22×D7311yescharacteristic
1149C23×C4C22×D7311yescharacteristic
1150C4⋊Q8—2922no—
1151#127—2922no—
1152#127—2922no—
1153#126—24no—
1154#126—24no—
1155#126—1464no—
1156#126—1464no—
1157#124—24no—
1158#124—24no—
1159#124—2922no—
1160#124—2922no—
1161#124—1464no—
1162#124—1464no—
1163#123—24no—
1164#123—24no—
1165#123—1464no—
1166#123—1464no—
1167C22⋊Q8—24no—
1168C22⋊Q8—1464no—
1169#121—24no—
1170#121—24no—
1171#121—24no—
1172#121—2922no—
1173#121—2922no—
1174#121—2922no—
1175#121—2922no—
1176#121—2922no—
1177#121—1464no—
1178#121—1464no—
1179#121—1464no—
1180#121—1464no—
1181#120—24no—
1182#120—24no—
1183#120—1464no—
1184#120—1464no—
1185#120—1464no—
1186#120—1464no—
1187C4×D4—24no—
1188C4×D4—2922no—
1189C4×D4—1464no—
1190C4×D4—1464no—
1191C4×D4—1464no—
1192C4×D4C22⋊D7318yescomplemented
1193C2×C4⋊C4—2922no—
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—731no—
1202C2×C4⋊C4—731no—
1203C2×C4⋊C4—731no—
1204C2×C4⋊C4—731no—
1205C2×C4⋊C4—731no—
1206C2×C4⋊C4—731no—
1207C2×C4⋊C4—731no—
1208C2×C4⋊C4—731no—
1209C2×C4⋊C4—731no—
1210C2×C4⋊C4—731no—
1211C2×C4⋊C4—731no—
1212C2×C4⋊C4C22×D7311yescharacteristic
1213C2×C4⋊C4C22×D7311yescharacteristic
1214C2×C4⋊C4C22×D7311yescharacteristic
1215C2×C4⋊C4C22×D7311yescharacteristic
1216C2×C4⋊C4C22×D7311yescharacteristic
1217C2×C4⋊C4C22×D7311yescharacteristic
1218C2×C22⋊C4—24no—
1219C2×C22⋊C4—2922no—
1220C2×C22⋊C4—2922no—
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—731no—
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—731no—
1260C2×C22⋊C4—731no—
1261C2×C22⋊C4—731no—
1262C2×C22⋊C4—731no—
1263C2×C22⋊C4—731no—
1264C2×C22⋊C4—731no—
1265C2×C22⋊C4—731no—
1266C2×C22⋊C4—731no—
1267C2×C22⋊C4—1464no—
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×C22⋊C4C22×D7311yescharacteristic
1276C2×C22⋊C4C22×D7311yescharacteristic
1277C2×C22⋊C4C22×D7311yescharacteristic
1278C2×C22⋊C4C22×D7311yescharacteristic
1279C2×C22⋊C4C22×D7311yescharacteristic
1280C2×C22⋊C4C22×D7311yescharacteristic
1281C2×C22⋊C4C22×D7311yescharacteristic
1282C2×C42—2922no—
1283C2×C42—2922no—
1284C2×C42—731no—
1285C2×C42—731no—
1286C2×C42—731no—
1287C2×C42—731no—
1288C2×C42—731no—
1289C2×C42—731no—
1290C2×C42—731no—
1291C2×C42—731no—
1292C2×C42—731no—
1293C2×C42—731no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42C22×D7311yescharacteristic
1298C2×C42C22×D7311yescharacteristic
1299#95—731no—
1300#95—731no—
1301#95—731no—
1302#95—731no—
1303#95—731no—
1304#95—731no—
1305#95—731no—
1306#95—731no—
1307#95—731no—
1308#95—731no—
1309#95—731no—
1310#95—731no—
1311#95—731no—
1312#95—731no—
1313#95—731no—
1314#95—731no—
1315#95—731no—
1316#95—731no—
1317#95—731no—
1318#95—731no—
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—41no—
1326C24—2921no—
1327C24—2921no—
1328C24—2921no—
1329C24—2921no—
1330C24—731no—
1331C24—731no—
1332C24—731no—
1333C24—1462no—
1334C24—1462no—
1335C24—1462no—
1336C24C23×D7311yescharacteristic
1337C24C23×D7311yescharacteristic
1338C24C23×D7311yescharacteristic
1339C24C23×D7311yescharacteristic
1340C24C23×D7311yescharacteristic
1341C2×Q8—22no—
1342C2×Q8—41no—
1343C2×Q8—41no—
1344C2×Q8—2921no—
1345C2×Q8—2921no—
1346C2×Q8—1462no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—2921no—
1368C2×D4—2921no—
1369C2×D4—2921no—
1370C2×D4—2921no—
1371C2×D4—2921no—
1372C2×D4—2921no—
1373C2×D4—2921no—
1374C2×D4—2921no—
1375C2×D4—29216no—
1376C2×D4—2921no—
1377C2×D4—2921no—
1378C2×D4—2921no—
1379C2×D4—2921no—
1380C2×D4—2921no—
1381C2×D4—2921no—
1382C2×D4—2921no—
1383C2×D4—2921no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—2921no—
1387C2×D4—2921no—
1388C2×D4—2921no—
1389C2×D4—2921no—
1390C2×D4—1462no—
1391C2×D4—1462no—
1392C2×D4—1462no—
1393C2×D4—1462no—
1394C2×D4—1462no—
1395C2×D4—1462no—
1396C2×D4—1462no—
1397C2×D4—1462no—
1398C2×D4—1462no—
1399C2×D4—1462no—
1400C2×D4—1462no—
1401C2×D4—1462no—
1402C2×D4—1462no—
1403C2×D4—1462no—
1404C2×D4—1462no—
1405C2×D4—1462no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1462no—
1409C2×D4—1462no—
1410C2×D4—1462no—
1411C2×D4—1462no—
1412C2×D4—1462no—
1413C2×D4C2×C22⋊D7314yes—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—2921no—
1425C22×C4—2921no—
1426C22×C4—2921no—
1427C22×C4—2921no—
1428C22×C4—2921no—
1429C22×C4—2921no—
1430C22×C4—731no—
1431C22×C4—734no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—731no—
1438C22×C4—731no—
1439C22×C4—731no—
1440C22×C4—731no—
1441C22×C4—731no—
1442C22×C4—731no—
1443C22×C4—731no—
1444C22×C4—1462no—
1445C22×C4—1462no—
1446C22×C4—1462no—
1447C22×C4—1462no—
1448C22×C4—1462no—
1449C22×C4—1462no—
1450C22×C4—1462no—
1451C22×C4—1462no—
1452C22×C4—1462no—
1453C22×C4—1462no—
1454C22×C4—1462no—
1455C22×C4C2×C22⋊D7314yes—
1456C22×C4C2×C22⋊D7314yescomplemented
1457C22×C4C23×D7311yescharacteristic
1458C22×C4C23×D7311yescharacteristic
1459C22×C4C23×D7311yescharacteristic
1460C22×C4C23×D7311yescharacteristic
1461C22×C4C23×D7311yescharacteristic
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464C22×C4C23×D7311yescharacteristic
1465C22×C4C23×D7311yescharacteristic
1466C22×C4C23×D7311yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—2921no—
1473C4⋊C4—2921no—
1474C4⋊C4—2921no—
1475C4⋊C4—2921no—
1476C4⋊C4—2921no—
1477C4⋊C4—2921no—
1478C4⋊C4—1462no—
1479C4⋊C4—1462no—
1480C4⋊C4—1462no—
1481C4⋊C4—1462no—
1482C4⋊C4—1462no—
1483C4⋊C4—1462no—
1484C4⋊C4—1462no—
1485C4⋊C4—1462no—
1486C4⋊C4—1462no—
1487C4⋊C4—1462no—
1488C4⋊C4—1462no—
1489C4⋊C4—1462no—
1490C4⋊C4C2×C22⋊D7314yescomplemented
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
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—2921no—
1517C22⋊C4—2921no—
1518C22⋊C4—2921no—
1519C22⋊C4—2921no—
1520C22⋊C4—2921no—
1521C22⋊C4—734no—
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⋊C4—1462no—
1539C22⋊C4—1462no—
1540C22⋊C4—1462no—
1541C22⋊C4—1462no—
1542C22⋊C4—1462no—
1543C22⋊C4—1462no—
1544C22⋊C4—1462no—
1545C22⋊C4—1462no—
1546C22⋊C4—1462no—
1547C22⋊C4—1462no—
1548C22⋊C4—1462no—
1549C22⋊C4C2×C22⋊D7314yes—
1550C22⋊C4C2×C22⋊D7314yescomplemented
1551C42—22no—
1552C42—2921no—
1553C42—2921no—
1554C42—2921no—
1555C42—2921no—
1556C42—2921no—
1557C42—1462no—
1558C42—1462no—
1559C42—1462no—
1560C42—1462no—
1561C42—1462no—
1562C42—1462no—
1563C42—1462no—
1564C42—1462no—
1565C42C2×C22⋊D7314yescomplemented
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—2924no—
1605C23—2924no—
1606C23—2924no—
1607C23—5842no—
1608C23—5842no—
1609C23—5842no—
1610C23—5842no—
1611C23—1461no—
1612C23—1461no—
1613C23—1461no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23—1461no—
1619C23—1461no—
1620C23—1461no—
1621C23—1461no—
1622C23—1461no—
1623C23—1461no—
1624C23—1461no—
1625C23—1461no—
1626C23—1461no—
1627C23—1461no—
1628C23—1461no—
1629C23—1461no—
1630C23—1461no—
1631C23—1461no—
1632C23C22×C22⋊D7312yes—
1633C23C22×C22⋊D7312yes—
1634C23#41×D7312yes—
1635C23#41×D7312yes—
1636C23C24×D7311yescharacteristic
1637Q8—82no—
1638Q8—5842no—
1639D4—28no—
1640D4—44no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—82no—
1645D4—82no—
1646D4—2924no—
1647D4—2924no—
1648D4—2924no—
1649D4—2924no—
1650D4—2924no—
1651D4—2924no—
1652D4—5842no—
1653D4—5842no—
1654D4—5842no—
1655D4—5842no—
1656D4—5842no—
1657D4—5842no—
1658D4—5842no—
1659D4—5842no—
1660D4—5842no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—82no—
1689C2×C4—82no—
1690C2×C4—2924no—
1691C2×C4—2924no—
1692C2×C4—2924no—
1693C2×C4—5842no—
1694C2×C4—5842no—
1695C2×C4—732no—
1696C2×C4—732no—
1697C2×C4—732no—
1698C2×C4—732no—
1699C2×C4—732no—
1700C2×C4—732no—
1701C2×C4—732no—
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×C4—1461no—
1712C2×C4—1461no—
1713C2×C4—1461no—
1714C2×C4—1461no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4—1461no—
1719C2×C4—1461no—
1720C2×C4—1461no—
1721C2×C4—1461no—
1722C2×C4—1461no—
1723C2×C4—1461no—
1724C2×C4—1461no—
1725C2×C4—1461no—
1726C2×C4—1468no—
1727C2×C4—1461no—
1728C2×C4—1461no—
1729C2×C4—1461no—
1730C2×C4—1461no—
1731C2×C4—1461no—
1732C2×C4—1461no—
1733C2×C4—1461no—
1734C2×C4—1461no—
1735C2×C4C22×C22⋊D7312yes—
1736C2×C4C22×C22⋊D7312yes—
1737C2×C4C22×C22⋊D7312yes—
1738C2×C4C22×C22⋊D7312yes—
1739C2×C4C22×C22⋊D7312yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—88no—
1775C22—2921no—
1776C22—2921no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—2921no—
1793C22—2921no—
1794C22—2921no—
1795C22—2921no—
1796C22—5848no—
1797C22#1798913314yes—
1798C22C23×C22⋊D7311yescharacteristic
1799C22C2×#41×D7311yescharacteristic
1800C22C2×#41×D7311yescharacteristic
1801C22H(5,𝔽2)×D7311yescharacteristic
1802C22H(5,𝔽2)×D7311yescharacteristic
1803C22H(5,𝔽2)×D7311yescharacteristic
1804C22#1798942211yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—2921no—
1816C4—2921no—
1817C4—2921no—
1818C4—2921no—
1819C4—2921no—
1820C4—2921no—
1821C4—2921no—
1822C4—2921no—
1823C4—734no—
1824C4—1462no—
1825C4—1462no—
1826C4—1462no—
1827C4—1462no—
1828C2—24no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—81no—
1833C2—5841no—
1834C2—5841no—
1835C2—5841no—
1836C2C2×#1798913311yescharacteristic
1837C2#538×D7311yescharacteristic
1838C2#2262335011yescharacteristic
1839C2#2262369011yescharacteristic
1840C2#2262370511yescharacteristic
1841C2#2262388411yescharacteristic
1842C2#2262395511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC2×#538×C73C2
hypercenterC2×#538D73
hypocenterC73#35007
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#17989170C2semidirect
2. #22618296C2semidirect
3. #22618286C2semidirect
4. #22618274C2semidirect
5. #22618260C2semidirect
6. #22616071C2semidirect
7. #22616070C2semidirect
8. #22616060C2semidirect
9. #22616059C2semidirect
10. #22615004C2semidirect
11. #22615002C2semidirect
12. #22614989C2semidirect
13. #22614987C2semidirect
14. #22614516C2semidirect
15. #22614291C2semidirect
16. #22614064C2semidirect
17. #22614056C2semidirect
18. #22613695C2semidirect
19. #22613630C2semidirect
20. #22613566C2semidirect
21. #22613516C2semidirect
22. #22613473C2semidirect
23. #22613471C2semidirect
24. #22613368C2semidirect
25. #22613284C2semidirect
26. #22612589C2semidirect
27. #22612585C2semidirect
28. C4×#14556563C2semidirect
29. C2×#17988487C2semidirect
30. C4×D4×Dic73C2semidirect
31. C2×#538×C73C2semidirect
34. C2×#14556589C22semidirect
37. C2×#14556586C22semidirect
38. C2×#14556585C22semidirect
39. C2×#14556580C22semidirect
40. C2×#14556579C22semidirect
41. C2×#14556578C22semidirect
42. C2×#14556577C22semidirect
43. C2×#14556576C22semidirect
44. C2×#14556574C22semidirect
46. C2×#14556565C22semidirect
47. C2×#14556564C22semidirect
52. C2×#14556563C22semidirect
53. C2×#14556563C22semidirect
54. C2×#14556563C22semidirect
62. C2×C4×C22⋊D73C22semidirect
68. C22×C4×Dic73C22semidirect
69. #17988518C22semidirect
70. #17988517C22semidirect
71. #17988513C22semidirect
72. #17988512C22semidirect
73. #17988510C22semidirect
74. #17988510C22semidirect
75. #17988509C22semidirect
76. #17988509C22semidirect
77. #17988507C22semidirect
78. #17988506C22semidirect
79. #17988504C22semidirect
80. #17988504C22semidirect
83. #17988503C22semidirect
84. #17988503C22semidirect
85. #17988502C22semidirect
86. #17988502C22semidirect
87. #17988501C22semidirect
88. #17988501C22semidirect
89. #17988501C22semidirect
90. #17988501C22semidirect
91. #17988499C22semidirect
92. #17988498C22semidirect
99. #17988495C22semidirect
100. #17988495C22semidirect
101. #17988490C22semidirect
102. #17988488C22semidirect
115. #17988487C22semidirect
116. #17988487C22semidirect
117. #17988487C22semidirect
118. #17988487C22semidirect
119. #17988487C22semidirect
120. #17988487C22semidirect
121. #17988487C22semidirect
122. #17988487C22semidirect
123. #17988482C22semidirect
124. #17988482C22semidirect
125. #17988482C22semidirect
126. #17988482C22semidirect
127. #17988481C22semidirect
128. #17988481C22semidirect
129. #17988481C22semidirect
130. #17988481C22semidirect
131. #17988481C22semidirect
132. #17988481C22semidirect
133. #17988478C22semidirect
134. #17988478C22semidirect
135. #17988477C22semidirect
136. #17988477C22semidirect
137. #17988477C22semidirect
138. #17988477C22semidirect
139. #17988477C22semidirect
140. #17988477C22semidirect
141. #17988475C22semidirect
142. #17988475C22semidirect
145. #17988467C22semidirect
147. #17988466C22semidirect
148. #17988466C22semidirect
150. #17988464C22semidirect
151. #17988463C22semidirect
152. #17988463C22semidirect
155. #17988456C22semidirect
157. #17988445C22semidirect
160. C4⋊C4×Dic73C22semidirect
161. C4⋊C4×Dic73C22semidirect
162. C4×#11924007C22semidirect
163. C4×C4⋊Dic73C22semidirect
166. C22⋊C4×Dic73C22semidirect
167. C22⋊C4×Dic73C22semidirect
168. C4×#11924005C22semidirect
170. C4×C22⋊Dic73C22semidirect
171. C4×C22⋊Dic73C22semidirect
172. C42×Dic73C22semidirect
174. C2×#126×C73C22semidirect
175. C2×#126×C73C22semidirect
176. C2×#124×C73C22semidirect
177. C2×#124×C73C22semidirect
178. C2×#123×C73C22semidirect
179. C2×#123×C73C22semidirect
182. C2×#121×C73C22semidirect
183. C2×#121×C73C22semidirect
373. C4×D4×C73D4semidirect
611. C22×C4×C73C2×D4semidirect
627. C4⋊C4×C73C2×D4semidirect
641. C22⋊C4×C73C2×D4semidirect
643. C42×C73C2×D4semidirect
905. Dic73#538semidirect
923. C2×#538D73semidirect
953. C73#35007semidirect
962. C2×#126C2×D73semidirect
963. C2×#126C2×D73semidirect
968. C2×#124C2×D73semidirect
969. C2×#124C2×D73semidirect
972. C2×#123C2×D73semidirect
973. C2×#123C2×D73semidirect
986. C2×#121C2×D73semidirect
987. C2×#121C2×D73semidirect
1192. C4×D4C22⋊D73semidirect
1456. C22×C4C2×C22⋊D73semidirect
1490. C4⋊C4C2×C22⋊D73semidirect
1550. C22⋊C4C2×C22⋊D73semidirect
1565. C42C2×C22⋊D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891702
#226182962
#226182862
#226182742
#226182602
#226160712
#226160702
#226160602
#226160592
#226150042
#226150022
#226149892
#226149872
#226145162
#226142912
#226140642
#226140562
#226136952
#226136302
#226135662
#226135162
#226134732
#226134712
#226133682
#226132842
#226125892
#226125852
C4×#145565632
C2×#179884872
C4×D4×Dic732
C2×#538×C732
#3500773