Finite Group Databasebeta

← C2×#22624495 #33993327

Subgroups — C2×#22624495 #33993327

Order 18688.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624495C2132yesmaximal, direct product factor
2C2×#17989340C211yesmaximal, characteristic, complemented
3C2×#17989336C211yesmaximal, characteristic, complemented
4C2×#17989333C211yesmaximal, characteristic, complemented
5C2×#17989332C211yesmaximal, characteristic, complemented
6C2×#17989305C211yesmaximal, characteristic, complemented
7C2×#17989304C211yesmaximal, characteristic, complemented
8C2×#17989267C211yesmaximal, characteristic, complemented
9C2×#17989266C211yesmaximal, characteristic, complemented
10C2×#17989262C211yesmaximal, characteristic, complemented
11C2×#17989261C211yesmaximal, characteristic, complemented
12C2×#17989252C211yesmaximal, characteristic, complemented
13C2×#17989250C211yesmaximal, characteristic, complemented
14C2×#17989246C211yesmaximal, characteristic, complemented
15C2×#17989245C211yesmaximal, characteristic, complemented
16C2×#17989229C211yesmaximal, characteristic, complemented
17C2×#17989226C211yesmaximal, characteristic, complemented
18C2×#17989212C211yesmaximal, characteristic, complemented
19C2×#17989212C211yesmaximal, characteristic, complemented
20C2×#17989209C211yesmaximal, characteristic, complemented
21C2×#17989207C211yesmaximal, characteristic, complemented
22C2×#17989203C211yesmaximal, characteristic, complemented
23C2×#17989201C211yesmaximal, characteristic, complemented
24C2×#17989201C211yesmaximal, characteristic, complemented
25C2×#17989173C211yesmaximal, characteristic, complemented
26C2×#17989171C211yesmaximal, characteristic, complemented
27C2×#17989160C211yesmaximal, characteristic, complemented
28C2×#17989159C211yesmaximal, characteristic, complemented
29C2×#17989141C211yesmaximal, characteristic, complemented
30C2×#17989120C211yesmaximal, characteristic, complemented
31C2×#124×D73C211yesmaximal, characteristic, complemented
32C2×#542×C73C211yesmaximal, characteristic, complemented
33C22×#11924028C2211yescharacteristic
34C22×#11924027C2211yescharacteristic
35C23×Dic146C2211yescharacteristic, complemented
36C22×Q8×D73C2211yescharacteristic
37C22×Q8×D73C2211yescharacteristic, complemented
38C22×D4×D73C2211yescharacteristic
39#17989340C22116yescomplemented
40#17989336C22116yescomplemented
41#17989333C22116yescomplemented
42#17989332C22116yescomplemented
43#17989305C22116yescomplemented
44#17989304C22116yescomplemented
45#17989267C22116yescomplemented
46#17989266C22116yescomplemented
47#17989262C22116yescomplemented
48#17989261C22116yescomplemented
49#17989252C22116yescomplemented
50#17989250C22116yescomplemented
51#17989246C22116yescomplemented
52#17989245C22116yescomplemented
53#17989229C22116yescomplemented
54#17989226C22116yescomplemented
55#17989212C22116yescomplemented
56#17989212C22116yescomplemented
57#17989209C22116yescomplemented
58#17989207C22116yescomplemented
59#17989203C22116yescomplemented
60#17989201C22116yescomplemented
61#17989201C22116yescomplemented
62#17989173C22116yescomplemented
63#17989171C22116yescomplemented
64#17989160C22116yescomplemented
65#17989159C22116yescomplemented
66#17989141C22116yescomplemented
67C2×#14556590C2211yescharacteristic, complemented
68C2×#14556590C2211yescharacteristic, complemented
69C2×#14556590C2211yescharacteristic, complemented
70C2×#14556590C2211yescharacteristic, complemented
71C2×#14556590C2211yescharacteristic, complemented
72C2×#14556589C2211yescharacteristic, complemented
73C2×#14556589C2211yescharacteristic, complemented
74#17989120C22116yescomplemented
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556586C2211yescharacteristic, complemented
77C2×#14556586C2211yescharacteristic, complemented
78C2×#14556585C2211yescharacteristic, complemented
79C2×#14556585C2211yescharacteristic, complemented
80C2×#14556585C2211yescharacteristic, complemented
81C2×#14556585C2211yescharacteristic, complemented
82C2×#14556584C2211yescharacteristic, complemented
83C2×#14556584C2211yescharacteristic, complemented
84C2×#14556584C2211yescharacteristic, complemented
85C2×#14556584C2211yescharacteristic, complemented
86C2×#14556584C2211yescharacteristic, complemented
87C2×#14556581C2211yescharacteristic, complemented
88C2×#14556581C2211yescharacteristic, complemented
89C2×#14556581C2211yescharacteristic, complemented
90C2×#14556580C2211yescharacteristic
91C2×#14556580C2211yescharacteristic, complemented
92C2×#14556579C2211yescharacteristic
93C2×#14556579C2211yescharacteristic, complemented
94C2×#14556578C2211yescharacteristic
95C2×#14556577C2211yescharacteristic
96C2×#14556577C2211yescharacteristic
97C2×#14556577C2211yescharacteristic
98C2×#14556577C2211yescharacteristic
99C2×#14556577C2211yescharacteristic
100C2×#14556577C2211yescharacteristic
101C2×#14556577C2211yescharacteristic, complemented
102C2×#14556577C2211yescharacteristic, complemented
103C2×#14556577C2211yescharacteristic, complemented
104C2×#14556577C2211yescharacteristic, complemented
105C2×#14556577C2211yescharacteristic, complemented
106#124×D73C22116yescomplemented
107C2×#14556576C2211yescharacteristic
108C2×#14556576C2211yescharacteristic
109C2×#14556576C2211yescharacteristic
110C2×#14556576C2211yescharacteristic, complemented
111C2×#14556576C2211yescharacteristic, complemented
112C2×#14556576C2211yescharacteristic, complemented
113C2×#14556575C2211yescharacteristic, complemented
114C2×#14556574C2211yescharacteristic, complemented
115C2×#14556574C2211yescharacteristic, complemented
116C2×#14556573C2211yescharacteristic
117C2×#14556573C2211yescharacteristic, complemented
118C2×#14556573C2211yescharacteristic, complemented
119C2×#14556573C2211yescharacteristic, complemented
120C2×#14556572C2211yescharacteristic
121C2×#14556572C2211yescharacteristic, complemented
122C2×#14556572C2211yescharacteristic, complemented
123C2×#14556571C2211yescharacteristic
124C2×#14556571C2211yescharacteristic
125C2×#14556571C2211yescharacteristic, complemented
126C2×#14556571C2211yescharacteristic, complemented
127C2×#14556570C2211yescharacteristic, complemented
128C2×#14556570C2211yescharacteristic, complemented
129C2×#14556570C2211yescharacteristic, complemented
130C2×#14556569C2211yescharacteristic
131C2×#14556569C2211yescharacteristic
132C2×#14556569C2211yescharacteristic
133C2×#14556569C2211yescharacteristic
134C2×#14556569C2211yescharacteristic
135C2×#14556569C2211yescharacteristic, complemented
136C2×#14556569C2211yescharacteristic, complemented
137C2×#14556569C2211yescharacteristic, complemented
138C2×#14556569C2211yescharacteristic, complemented
139C2×#14556569C2211yescharacteristic, complemented
140C2×#14556569C2211yescharacteristic, complemented
141C2×#14556569C2211yescharacteristic, complemented
142C2×#14556568C2211yescharacteristic, complemented
143C2×#14556568C2211yescharacteristic, complemented
144C2×#14556568C2211yescharacteristic, complemented
145C2×#14556568C2211yescharacteristic, complemented
146C2×#14556568C2211yescharacteristic, complemented
147C2×#14556568C2211yescharacteristic, complemented
148C2×#14556568C2211yescharacteristic, complemented
149C2×#14556567C2211yescharacteristic
150C2×#14556567C2211yescharacteristic
151C2×#14556567C2211yescharacteristic, complemented
152C2×#14556567C2211yescharacteristic, complemented
153C2×#14556567C2211yescharacteristic, complemented
154C2×#14556567C2211yescharacteristic, complemented
155C2×#14556566C2211yescharacteristic
156C2×#14556565C2211yescharacteristic, complemented
157C2×#14556564C2211yescharacteristic
158C2×#14556564C2211yescharacteristic
159C2×#14556564C2211yescharacteristic
160C2×#14556564C2211yescharacteristic, complemented
161C2×#14556563C2211yescharacteristic
162C2×#14556563C2211yescharacteristic
163C2×#14556563C2211yescharacteristic, complemented
164C2×#14556562C2211yescharacteristic, complemented
165C2×#14556561C2211yescharacteristic
166C2×#14556561C2211yescharacteristic
167C2×#14556559C2211yescharacteristic
168C2×#14556559C2211yescharacteristic
169C2×C4×Dic146C2211yescharacteristic, complemented
170C2×C4×Dic146C2211yescharacteristic, complemented
171C2×C4×Dic146C2211yescharacteristic, complemented
172C2×C4×Dic146C2211yescharacteristic, complemented
173C2×#14556556C2211yescharacteristic, complemented
174C2×#14556556C2211yescharacteristic, complemented
175C2×C4×D292C2211yescharacteristic
176C2×C4×D292C2211yescharacteristic, complemented
177C2×#14556553C2211yescharacteristic
178C2×#14556553C2211yescharacteristic
179C2×C4×C22⋊D73C2211yescharacteristic
180C2×C4×C22⋊D73C2211yescharacteristic
181C2×#14556551C2211yescharacteristic
182C2×#14556551C2211yescharacteristic
183C2×#14556551C2211yescharacteristic
184C2×#14556551C2211yescharacteristic, complemented
185C2×#14556551C2211yescharacteristic, complemented
186C2×#14556551C2211yescharacteristic, complemented
187C2×#14556549C2211yescharacteristic, complemented
188C2×#14556549C2211yescharacteristic, complemented
189C2×#14556548C2211yescharacteristic
190C2×#14556548C2211yescharacteristic
191C2×#14556548C2211yescharacteristic, complemented
192C2×#14556547C2211yescharacteristic, complemented
193C2×#14556547C2211yescharacteristic, complemented
194C22×#11924005C2211yescharacteristic
195C22×#11924005C2211yescharacteristic
196C2×C22⋊C4×D73C2211yescharacteristic
197C2×C22⋊C4×D73C2211yescharacteristic
198C2×C22⋊C4×D73C2211yescharacteristic
199C2×C22⋊C4×D73C2211yescharacteristic
200C2×C22⋊C4×D73C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic
202C2×C42×D73C2211yescharacteristic
203#542×C73C22116yescomplemented
204C2×C4⋊Q8×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic, complemented
206C2×#126×C73C2211yescharacteristic, complemented
207C2×#124×C73C2211yescharacteristic
208C2×#124×C73C2211yescharacteristic, complemented
209C2×#124×C73C2211yescharacteristic, complemented
210C2×#123×C73C2211yescharacteristic
211C2×#123×C73C2211yescharacteristic, complemented
212C2×C22⋊Q8×C73C2211yescharacteristic, complemented
213C2×C22⋊Q8×C73C2211yescharacteristic, complemented
214C2×C22⋊Q8×C73C2211yescharacteristic, complemented
215C2×#121×C73C2211yescharacteristic
216C2×C4×Q8×C73C2211yescharacteristic, complemented
217C2×C4×D4×C73C2211yescharacteristic, complemented
218C2×#117×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C2×#11924028—44no—
222C2×#11924028C2318yes—
223C2×#11924027—44no—
224C2×#11924027C2318yes—
225C22×Dic146—44no—
226C22×Dic146C2311yescharacteristic
227C22×Dic146C2311yescharacteristic
228C22×Dic146C2311yescharacteristic
229C22×Dic146C2311yescharacteristic
230C22×Dic146C2311yescharacteristic
231C22×Dic146C2311yescharacteristic
232C22×Dic146C2311yescharacteristic
233C22×Dic146C2311yescharacteristic
234C22×Dic146C2311yescharacteristic
235C22×Dic146C2311yescharacteristic
236C22×Dic146C2318yescomplemented
237C2×Q8×D73—44no—
238C2×Q8×D73—44no—
239C2×Q8×D73C2318yes—
240C2×Q8×D73C2318yescomplemented
241C22×D292C2311yescharacteristic
242C22×D292C2311yescharacteristic
243C22×D292C2311yescharacteristic
244C22×D292C2311yescharacteristic
245C22×C22⋊D73C2311yescharacteristic
246C22×C22⋊D73C2311yescharacteristic
247C22×C22⋊D73C2311yescharacteristic
248C22×C22⋊D73C2311yescharacteristic
249C22×C22⋊D73C2311yescharacteristic
250C22×C22⋊D73C2311yescharacteristic
251C22×C22⋊D73C2311yescharacteristic
252C22×C22⋊D73C2311yescharacteristic
253C2×D4×D73—44no—
254C2×D4×D73C2318yes—
255C23×Dic73C2311yescharacteristic
256C23×Dic73C2311yescharacteristic
257C23×Dic73C2311yescharacteristic
258C23×Dic73C2311yescharacteristic
259C22×C4×D73C2311yescharacteristic
260C22×C4×D73C2311yescharacteristic
261C22×C4×D73C2311yescharacteristic
262C22×C4×D73C2311yescharacteristic
263C22×C4×D73C2311yescharacteristic
264C22×C4×D73C2311yescharacteristic
265C22×C4×D73C2311yescharacteristic
266C22×C4×D73C2311yescharacteristic
267C22×C4×D73C2311yescharacteristic
268C22×C4×D73C2311yescharacteristic
269C22×C4×D73C2311yescharacteristic
270C22×C4×D73C2311yescharacteristic
271#14556590C2318yescomplemented
272#14556590C2318yescomplemented
273#14556590C2318yescomplemented
274#14556590C2318yescomplemented
275#14556590C2318yescomplemented
276#14556589C2318yescomplemented
277#14556589C2318yescomplemented
278#14556586C2318yescomplemented
279#14556586C2318yescomplemented
280#14556586C2318yescomplemented
281#14556585C2318yescomplemented
282#14556585C2318yescomplemented
283#14556585C2318yescomplemented
284#14556585C2318yescomplemented
285#14556584C2318yescomplemented
286#14556584C2318yescomplemented
287#14556584C2318yescomplemented
288#14556584C2318yescomplemented
289#14556584C2318yescomplemented
290#14556581C2318yescomplemented
291#14556581C2318yescomplemented
292#14556581C2318yescomplemented
293#14556580C2318yes—
294#14556580C2318yescomplemented
295#14556579C2318yes—
296#14556579C2318yescomplemented
297#14556578C2318yes—
298#14556577C2318yes—
299#14556577C2318yes—
300#14556577C2318yes—
301#14556577C2318yes—
302#14556577C2318yes—
303#14556577C2318yes—
304#14556577C2318yescomplemented
305#14556577C2318yescomplemented
306#14556577C2318yescomplemented
307#14556577C2318yescomplemented
308#14556577C2318yescomplemented
309#14556576C2318yes—
310#14556576C2318yes—
311#14556576C2318yes—
312#14556576C2318yescomplemented
313#14556576C2318yescomplemented
314#14556576C2318yescomplemented
315#14556575C2318yescomplemented
316#14556574C2318yescomplemented
317#14556574C2318yescomplemented
318#14556573C2318yes—
319#14556573C2318yescomplemented
320#14556573C2318yescomplemented
321#14556573C2318yescomplemented
322#14556572C2318yes—
323#14556572C2318yescomplemented
324#14556572C2318yescomplemented
325#14556571C2318yes—
326#14556571C2318yes—
327#14556571C2318yescomplemented
328#14556571C2318yescomplemented
329#14556570C2318yescomplemented
330#14556570C2318yescomplemented
331#14556570C2318yescomplemented
332#14556569C2318yes—
333#14556569C2318yes—
334#14556569C2318yes—
335#14556569C2318yes—
336#14556569C2318yes—
337#14556569C2318yescomplemented
338#14556569C2318yescomplemented
339#14556569C2318yescomplemented
340#14556569C2318yescomplemented
341#14556569C2318yescomplemented
342#14556569C2318yescomplemented
343#14556569C2318yescomplemented
344#14556568C2318yescomplemented
345#14556568C2318yescomplemented
346#14556568C2318yescomplemented
347#14556568C2318yescomplemented
348#14556568C2318yescomplemented
349#14556568C2318yescomplemented
350#14556568C2318yescomplemented
351#14556567C2318yes—
352#14556567C2318yes—
353#14556567C2318yescomplemented
354#14556567C2318yescomplemented
355#14556567C2318yescomplemented
356#14556567C2318yescomplemented
357#14556566C2318yes—
358#14556565C2318yescomplemented
359#14556564C2318yes—
360#14556564C2318yes—
361#14556564C2318yes—
362#14556564C2318yescomplemented
363#14556563C2318yes—
364#14556563C2318yes—
365#14556563C2318yescomplemented
366#14556562C2318yescomplemented
367#14556561C2318yes—
368#14556561C2318yes—
369#14556559C2318yes—
370#14556559C2318yes—
371C4×Dic146C2318yescomplemented
372C4×Dic146C2318yescomplemented
373C4×Dic146C2318yescomplemented
374C4×Dic146C2318yescomplemented
375#14556556C2318yescomplemented
376#14556556C2318yescomplemented
377C4×D292C2318yes—
378C4×D292C2318yescomplemented
379#14556553C2318yes—
380#14556553C2318yes—
381C4×C22⋊D73C2318yes—
382C4×C22⋊D73C2318yes—
383#14556551C2318yes—
384#14556551C2318yes—
385#14556551C2318yes—
386#14556551C2318yescomplemented
387#14556551C2318yescomplemented
388#14556551C2318yescomplemented
389#14556549C2318yescomplemented
390#14556549C2318yescomplemented
391#14556548C2318yes—
392#14556548C2318yes—
393#14556548C2318yescomplemented
394#14556547C2318yescomplemented
395#14556547C2318yescomplemented
396C2×C4⋊Dic73C2311yescharacteristic
397C2×C4⋊Dic73C2311yescharacteristic
398C2×C4⋊Dic73C2311yescharacteristic
399C2×C4⋊Dic73C2311yescharacteristic
400C2×C4⋊Dic73C2311yescharacteristic
401C2×C4⋊Dic73C2311yescharacteristic
402C2×C4⋊Dic73C2311yescharacteristic
403C2×C4⋊Dic73C2311yescharacteristic
404C2×#11924007C2311yescharacteristic
405C2×#11924007C2311yescharacteristic
406C2×#11924007C2311yescharacteristic
407C2×#11924007C2311yescharacteristic
408C2×#11924007C2311yescharacteristic
409C2×#11924007C2311yescharacteristic
410C2×#11924007C2311yescharacteristic
411C2×#11924007C2311yescharacteristic
412C2×#11924007C2311yescharacteristic
413C2×#11924007C2311yescharacteristic
414C2×#11924007C2311yescharacteristic
415C2×#11924007C2311yescharacteristic
416C2×#11924007C2311yescharacteristic
417C2×#11924007C2311yescharacteristic
418C2×#11924007C2311yescharacteristic
419C2×#11924007C2311yescharacteristic
420C2×#11924007C2311yescharacteristic
421C2×#11924007C2311yescharacteristic
422C2×#11924007C2311yescharacteristic
423C2×#11924007C2311yescharacteristic
424C2×#11924007C2311yescharacteristic
425C2×#11924007C2311yescharacteristic
426C2×#11924007C2311yescharacteristic
427C2×#11924007C2311yescharacteristic
428C2×C22⋊Dic73C2311yescharacteristic
429C2×C22⋊Dic73C2311yescharacteristic
430C2×C22⋊Dic73C2311yescharacteristic
431C2×C22⋊Dic73C2311yescharacteristic
432C2×C22⋊Dic73C2311yescharacteristic
433C2×C22⋊Dic73C2311yescharacteristic
434C2×C22⋊Dic73C2311yescharacteristic
435C2×C22⋊Dic73C2311yescharacteristic
436C2×C22⋊Dic73C2311yescharacteristic
437C2×C22⋊Dic73C2311yescharacteristic
438C2×#11924005C2318yes—
439C2×#11924005C2318yes—
440C2×#11924005C2311yescharacteristic
441C2×#11924005C2311yescharacteristic
442C2×#11924005C2311yescharacteristic
443C2×#11924005C2311yescharacteristic
444C2×#11924005C2311yescharacteristic
445C2×#11924005C2311yescharacteristic
446C2×#11924005C2311yescharacteristic
447C2×#11924005C2311yescharacteristic
448C2×#11924005C2311yescharacteristic
449C2×#11924005C2311yescharacteristic
450C2×#11924005C2311yescharacteristic
451C2×#11924005C2311yescharacteristic
452C2×#11924005C2311yescharacteristic
453C2×#11924005C2311yescharacteristic
454C2×#11924005C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C2×#11924005C2311yescharacteristic
460C2×#11924005C2311yescharacteristic
461C2×#11924005C2311yescharacteristic
462C2×#11924005C2311yescharacteristic
463C2×#11924005C2311yescharacteristic
464C2×#11924005C2311yescharacteristic
465C2×#11924005C2311yescharacteristic
466C2×#11924005C2311yescharacteristic
467C2×#11924005C2311yescharacteristic
468C22⋊C4×D73C2318yes—
469C22⋊C4×D73C2318yes—
470C22⋊C4×D73C2318yes—
471C22⋊C4×D73C2318yes—
472C22⋊C4×D73C2318yes—
473C22⋊C4×D73C2318yes—
474C2×C4×Dic73C2311yescharacteristic
475C2×C4×Dic73C2311yescharacteristic
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C2×C4×Dic73C2311yescharacteristic
479C2×C4×Dic73C2311yescharacteristic
480C2×C4×Dic73C2311yescharacteristic
481C2×C4×Dic73C2311yescharacteristic
482C2×C4×Dic73C2311yescharacteristic
483C2×C4×Dic73C2311yescharacteristic
484C42×D73C2318yes—
485C22×Q8×C73C2311yescharacteristic
486C22×Q8×C73C2311yescharacteristic
487C22×Q8×C73C2311yescharacteristic
488C22×D4×C73C2311yescharacteristic
489C22×D4×C73C2311yescharacteristic
490C22×D4×C73C2311yescharacteristic
491C23×C4×C73C2311yescharacteristic
492C23×C4×C73C2311yescharacteristic
493C23×C4×C73C2311yescharacteristic
494C4⋊Q8×C73C2318yescomplemented
495#126×C73C2318yescomplemented
496#126×C73C2318yescomplemented
497#124×C73C2318yes—
498#124×C73C2318yescomplemented
499#124×C73C2318yescomplemented
500#123×C73C2318yes—
501#123×C73C2318yescomplemented
502C22⋊Q8×C73C2318yescomplemented
503C22⋊Q8×C73C2318yescomplemented
504C22⋊Q8×C73C2318yescomplemented
505#121×C73C2318yes—
506C4×Q8×C73C2318yescomplemented
507C4×D4×C73C2318yescomplemented
508#117×C73C2318yescomplemented
509C2×C4⋊C4×C73C2311yescharacteristic
510C2×C4⋊C4×C73C2311yescharacteristic
511C2×C4⋊C4×C73C2311yescharacteristic
512C2×C4⋊C4×C73C2311yescharacteristic
513C2×C4⋊C4×C73C2311yescharacteristic
514C2×C4⋊C4×C73C2311yescharacteristic
515C2×C4⋊C4×C73C2311yescharacteristic
516C2×C4⋊C4×C73C2311yescharacteristic
517C2×C4⋊C4×C73C2311yescharacteristic
518C2×C4⋊C4×C73C2311yescharacteristic
519C2×C22⋊C4×C73C2311yescharacteristic
520C2×C22⋊C4×C73C2311yescharacteristic
521C2×C22⋊C4×C73C2311yescharacteristic
522C2×C22⋊C4×C73C2311yescharacteristic
523C2×C22⋊C4×C73C2311yescharacteristic
524C2×C22⋊C4×C73C2311yescharacteristic
525C2×C22⋊C4×C73C2311yescharacteristic
526C2×C22⋊C4×C73C2311yescharacteristic
527C2×C22⋊C4×C73C2311yescharacteristic
528C2×C22⋊C4×C73C2311yescharacteristic
529C2×C22⋊C4×C73C2311yescharacteristic
530C2×C22⋊C4×C73C2311yescharacteristic
531C2×C42×C73C2311yescharacteristic
532C2×C42×C73C2311yescharacteristic
533C2×C42×C73C2311yescharacteristic
534C2×C42×C73C2311yescharacteristic
535C23×D73—24no—
536C23×D73—24no—
537C23×D73—42no—
538C23×D73—42no—
539C23×D73—42no—
540C23×D73—42no—
541C23×D73C2411yescharacteristic
542C23×D73C2411yescharacteristic
543C23×D73C2411yescharacteristic
544C23×D73C2411yescharacteristic
545C23×D73C2414yes—
546C23×D73C2414yes—
547#11924028—416no—
548#11924027—416no—
549C2×Dic146—24no—
550C2×Dic146—24no—
551C2×Dic146—24no—
552C2×Dic146—24no—
553C2×Dic146—416no—
554C2×Dic146—42no—
555C2×Dic146—42no—
556C2×Dic146—42no—
557C2×Dic146—42no—
558C2×Dic146—42no—
559C2×Dic146—42no—
560C2×Dic146C2414yes—
561C2×Dic146C2414yes—
562C2×Dic146C2414yes—
563C2×Dic146C2414yes—
564C2×Dic146C2414yes—
565C2×Dic146C2414yes—
566C2×Dic146C2414yes—
567C2×Dic146C2414yes—
568C2×Dic146C2414yes—
569C2×Dic146C2414yes—
570Q8×D73—416no—
571Q8×D73—416no—
572C2×D292—24no—
573C2×D292—42no—
574C2×D292—42no—
575C2×D292—42no—
576C2×D292C2414yes—
577C2×D292C2414yes—
578C2×D292C2414yes—
579C2×D292C2414yes—
580C2×C22⋊D73—24no—
581C2×C22⋊D73—24no—
582C2×C22⋊D73—24no—
583C2×C22⋊D73—42no—
584C2×C22⋊D73—42no—
585C2×C22⋊D73—42no—
586C2×C22⋊D73—42no—
587C2×C22⋊D73—42no—
588C2×C22⋊D73C2414yes—
589C2×C22⋊D73C2414yes—
590C2×C22⋊D73C2414yes—
591C2×C22⋊D73C2414yes—
592C2×C22⋊D73C2414yes—
593C2×C22⋊D73C2414yes—
594C2×C22⋊D73C2414yes—
595C2×C22⋊D73C2414yes—
596D4×D73—416no—
597C22×Dic73—24no—
598C22×Dic73—42no—
599C22×Dic73—42no—
600C22×Dic73—42no—
601C22×Dic73C2411yescharacteristic
602C22×Dic73C2411yescharacteristic
603C22×Dic73C2411yescharacteristic
604C22×Dic73C2411yescharacteristic
605C22×Dic73C2411yescharacteristic
606C22×Dic73C2411yescharacteristic
607C22×Dic73C2411yescharacteristic
608C22×Dic73C2411yescharacteristic
609C22×Dic73C2411yescharacteristic
610C22×Dic73C2411yescharacteristic
611C22×Dic73C2411yescharacteristic
612C22×Dic73C2414yes—
613C22×Dic73C2414yes—
614C22×Dic73C2414yes—
615C22×Dic73C2414yes—
616C22×Dic73C2411yescharacteristic
617C2×C4×D73—24no—
618C2×C4×D73—24no—
619C2×C4×D73—24no—
620C2×C4×D73—42no—
621C2×C4×D73—42no—
622C2×C4×D73—42no—
623C2×C4×D73—42no—
624C2×C4×D73—42no—
625C2×C4×D73—42no—
626C2×C4×D73—42no—
627C2×C4×D73—42no—
628C2×C4×D73—42no—
629C2×C4×D73C2414yes—
630C2×C4×D73C2414yes—
631C2×C4×D73C2414yes—
632C2×C4×D73C2414yes—
633C2×C4×D73C2414yes—
634C2×C4×D73C2414yes—
635C2×C4×D73C2414yes—
636C2×C4×D73C2414yes—
637C2×C4×D73C2414yes—
638C2×C4×D73C2414yes—
639C2×C4×D73C2414yes—
640C2×C4×D73C2414yes—
641C4⋊Dic73C2414yes—
642C4⋊Dic73C2414yes—
643C4⋊Dic73C2414yes—
644C4⋊Dic73C2414yes—
645C4⋊Dic73C2414yes—
646C4⋊Dic73C2414yes—
647C4⋊Dic73C2414yes—
648C4⋊Dic73C2414yes—
649#11924007C2414yes—
650#11924007C2414yes—
651#11924007C2414yes—
652#11924007C2414yes—
653#11924007C2414yes—
654#11924007C2414yes—
655#11924007C2414yes—
656#11924007C2414yes—
657#11924007C2414yes—
658#11924007C2414yes—
659#11924007C2414yes—
660#11924007C2414yes—
661#11924007C2414yes—
662#11924007C2414yes—
663#11924007C2414yes—
664#11924007C2414yes—
665#11924007C2414yes—
666#11924007C2414yes—
667#11924007C2414yes—
668#11924007C2414yes—
669#11924007C2414yes—
670#11924007C2414yes—
671#11924007C2414yes—
672#11924007C2414yes—
673C22⋊Dic73C2414yes—
674C22⋊Dic73C2414yes—
675C22⋊Dic73C2414yes—
676C22⋊Dic73C2414yes—
677C22⋊Dic73C2414yes—
678C22⋊Dic73C2414yes—
679C22⋊Dic73C2414yes—
680C22⋊Dic73C2414yes—
681C22⋊Dic73C2414yes—
682C22⋊Dic73C2414yes—
683#11924005C2414yes—
684#11924005C2414yes—
685#11924005C2414yes—
686#11924005C2414yes—
687#11924005C2414yes—
688#11924005C2414yes—
689#11924005C2414yes—
690#11924005C2414yes—
691#11924005C2414yes—
692#11924005C2414yes—
693#11924005C2414yes—
694#11924005C2414yes—
695#11924005C2414yes—
696#11924005C2414yes—
697#11924005C2414yes—
698#11924005C2414yes—
699#11924005C2414yes—
700#11924005C2414yes—
701#11924005C2414yes—
702#11924005C2414yes—
703#11924005C2414yes—
704#11924005C2414yes—
705#11924005C2414yes—
706#11924005C2414yes—
707#11924005C2414yes—
708#11924005C2414yes—
709#11924005C2414yes—
710#11924005C2414yes—
711C4×Dic73C2414yes—
712C4×Dic73C2414yes—
713C4×Dic73C2414yes—
714C4×Dic73C2414yes—
715C4×Dic73C2414yes—
716C4×Dic73C2414yes—
717C4×Dic73C2414yes—
718C4×Dic73C2414yes—
719C4×Dic73C2414yes—
720C4×Dic73C2414yes—
721C24×C73C2411yescharacteristic
722C24×C73C2411yescharacteristic
723C24×C73C2411yescharacteristic
724C2×Q8×C73—42no—
725C2×Q8×C73—42no—
726C2×Q8×C73—42no—
727C2×Q8×C73C2414yes—
728C2×Q8×C73C2414yes—
729C2×Q8×C73C2414yes—
730C2×D4×C73—42no—
731C2×D4×C73—42no—
732C2×D4×C73—42no—
733C2×D4×C73C2414yes—
734C2×D4×C73C2414yes—
735C2×D4×C73C2414yes—
736C22×C4×C73—42no—
737C22×C4×C73—42no—
738C22×C4×C73—42no—
739C22×C4×C73C2411yescharacteristic
740C22×C4×C73C2411yescharacteristic
741C22×C4×C73C2411yescharacteristic
742C22×C4×C73C2411yescharacteristic
743C22×C4×C73C2411yescharacteristic
744C22×C4×C73C2411yescharacteristic
745C22×C4×C73C2411yescharacteristic
746C22×C4×C73C2411yescharacteristic
747C22×C4×C73C2411yescharacteristic
748C22×C4×C73C2411yescharacteristic
749C22×C4×C73C2411yescharacteristic
750C22×C4×C73C2411yescharacteristic
751C22×C4×C73C2414yes—
752C22×C4×C73C2414yes—
753C22×C4×C73C2414yes—
754C4⋊C4×C73C2414yes—
755C4⋊C4×C73C2414yes—
756C4⋊C4×C73C2414yes—
757C4⋊C4×C73C2414yes—
758C4⋊C4×C73C2414yes—
759C4⋊C4×C73C2414yes—
760C4⋊C4×C73C2414yes—
761C4⋊C4×C73C2414yes—
762C4⋊C4×C73C2414yes—
763C4⋊C4×C73C2414yes—
764C22⋊C4×C73C2414yes—
765C22⋊C4×C73C2414yes—
766C22⋊C4×C73C2414yes—
767C22⋊C4×C73C2414yes—
768C22⋊C4×C73C2414yes—
769C22⋊C4×C73C2414yes—
770C22⋊C4×C73C2414yes—
771C22⋊C4×C73C2414yes—
772C22⋊C4×C73C2414yes—
773C22⋊C4×C73C2414yes—
774C22⋊C4×C73C2414yes—
775C22⋊C4×C73C2414yes—
776C42×C73C2414yes—
777C42×C73C2414yes—
778C42×C73C2414yes—
779C42×C73C2414yes—
780C23×C73—22no—
781C23×C73—22no—
782C23×C73—22no—
783C23×C73—22no—
784C23×C73—22no—
785C23×C73—22no—
786C23×C73—22no—
787C23×C73—22no—
788C23×C73—22no—
789C23×C73C2512yes—
790C23×C73C2512yes—
791C23×C73C2512yes—
792C23×C73C2511yescharacteristic
793C22×D73—22no—
794C22×D73—22no—
795C22×D73—22no—
796C22×D73—22no—
797C22×D73—22no—
798C22×D73—22no—
799C22×D73—22no—
800C22×D73—22no—
801C22×D73—22no—
802C22×D73—22no—
803C22×D73—22no—
804C22×D73—28no—
805C22×D73—28no—
806C22×D73—44no—
807C22×D73—44no—
808C22×D73—44no—
809C22×D73—44no—
810C22×D73—88no—
811C22×D73—88no—
812C22×D732−1+414yes—
813C22×D73C2512yes—
814C22×D73C2512yes—
815C22×D73C2512yes—
816C22×D73C2512yes—
817Q8×C73—44no—
818Q8×C73—44no—
819Q8×C73—44no—
820D4×C73—44no—
821D4×C73—44no—
822D4×C73—44no—
823C2×C4×C73—22no—
824C2×C4×C73—22no—
825C2×C4×C73—22no—
826C2×C4×C73—22no—
827C2×C4×C73—22no—
828C2×C4×C73—22no—
829C2×C4×C73—22no—
830C2×C4×C73—22no—
831C2×C4×C73—22no—
832C2×C4×C73—22no—
833C2×C4×C73—22no—
834C2×C4×C73—22no—
835C2×C4×C73—44no—
836C2×C4×C73—44no—
837C2×C4×C73—44no—
838C2×C4×C73C2512yes—
839C2×C4×C73C2512yes—
840C2×C4×C73C2512yes—
841C2×C4×C73C2512yes—
842C2×C4×C73C2512yes—
843C2×C4×C73C2512yes—
844C2×C4×C73C2512yes—
845C2×C4×C73C2512yes—
846C2×C4×C73C2512yes—
847C2×C4×C73C2512yes—
848C2×C4×C73C2512yes—
849C2×C4×C73C2512yes—
850C22⋊D73—28no—
851C22⋊D73—28no—
852C22⋊D73—28no—
853C22⋊D73—44no—
854C22⋊D73—44no—
855C22⋊D73—44no—
856C22⋊D73—44no—
857C22⋊D73—44no—
858C2×Dic73—22no—
859C2×Dic73—22no—
860C2×Dic73—22no—
861C2×Dic73—22no—
862C2×Dic73—22no—
863C2×Dic73—22no—
864C2×Dic73—22no—
865C2×Dic73—22no—
866C2×Dic73—22no—
867C2×Dic73—22no—
868C2×Dic73—22no—
869C2×Dic73—28no—
870C2×Dic73—44no—
871C2×Dic73—44no—
872C2×Dic73—44no—
873C2×Dic73H(5,𝔽2)14yes—
874C2×Dic73C2512yes—
875C2×Dic73C2512yes—
876C2×Dic73C2512yes—
877C2×Dic73C2512yes—
878C2×Dic73C2512yes—
879C2×Dic73C2512yes—
880C2×Dic73C2512yes—
881C2×Dic73C2512yes—
882C2×Dic73C2512yes—
883C2×Dic73C2512yes—
884C2×Dic73C2512yes—
885C2×Dic73C2512yes—
886D292—28no—
887D292—44no—
888D292—44no—
889D292—44no—
890C4×D73—28no—
891C4×D73—28no—
892C4×D73—28no—
893C4×D73—44no—
894C4×D73—44no—
895C4×D73—44no—
896C4×D73—44no—
897C4×D73—44no—
898C4×D73—44no—
899C4×D73—44no—
900C4×D73—44no—
901C4×D73—44no—
902Dic146—28no—
903Dic146—28no—
904Dic146—28no—
905Dic146—28no—
906Dic146—44no—
907Dic146—44no—
908Dic146—44no—
909Dic146—44no—
910Dic146—44no—
911Dic146—44no—
912C22×C73—22no—
913C22×C73—22no—
914C22×C73—22no—
915C22×C73—22no—
916C22×C73—22no—
917C22×C73—22no—
918C22×C73—22no—
919C22×C73—22no—
920C22×C73—22no—
921C22×C73—44no—
922C22×C73—44no—
923C22×C73—44no—
924C22×C73C2×H(5,𝔽2)12yes—
925C22×C73C2×2−1+412yes—
926C22×C73#58512yes—
927C22×C73C2611yescharacteristic
928C2×D73—22no—
929C2×D73—22no—
930C2×D73—28no—
931C2×D73—22no—
932C2×D73—22no—
933C2×D73—22no—
934C2×D73—22no—
935C2×D73—22no—
936C2×D73—22no—
937C2×D73—22no—
938C2×D73—22no—
939C2×D73—22no—
940C2×D73—44no—
941C2×D73—44no—
942C2×D73—44no—
943C2×D73—88no—
944C2×D73—88no—
945C2×D73C2×2−1+414yes—
946C4×C73—22no—
947C4×C73—22no—
948C4×C73—22no—
949C4×C73—22no—
950C4×C73—22no—
951C4×C73—22no—
952C4×C73—22no—
953C4×C73—22no—
954C4×C73—22no—
955C4×C73—22no—
956C4×C73—22no—
957C4×C73—22no—
958Dic73—22no—
959Dic73—22no—
960Dic73—22no—
961Dic73—22no—
962Dic73—22no—
963Dic73—22no—
964Dic73—22no—
965Dic73—22no—
966Dic73—22no—
967Dic73—22no—
968Dic73—22no—
969Dic73C2×H(5,𝔽2)14yes—
970C2×#3561—731nomaximal, Sylow
971C2×C73—42no—
972C2×C73—42no—
973C2×C73—42no—
974C2×C73#356114yescomplemented
975C2×C73C22×H(5,𝔽2)11yescharacteristic
976C2×C73C22×2−1+411yescharacteristic
977C2×C73C2×#58511yescharacteristic
978D73—24no—
979D73—42no—
980D73—42no—
981D73—42no—
982#3561—7332no—
983C2×#563—731no—
984C2×#563—731no—
985C2×#562—731no—
986C2×#562—731no—
987C2×#556—731no—
988C2×#556—731no—
989C2×#551—731no—
990C2×#551—731no—
991C2×#551—731no—
992C2×#551—731no—
993C2×D4×Q8—731no—
994C2×D4×Q8—731no—
995C2×#548—731no—
996C2×#548—731no—
997C2×#546—731no—
998C2×#546—731no—
999C2×#543—731no—
1000C2×#543—731no—
1001C2×#542—731no—
1002C2×#542—731no—
1003C2×#542—731no—
1004C2×#542—731no—
1005C2×#542—731no—
1006C2×#542D7311yescharacteristic, complemented
1007C2×#538—731no—
1008C2×#538—731no—
1009C2×#536—731no—
1010C2×#536—731no—
1011C2×#533—731no—
1012C2×#529—731no—
1013C22×#124—731no—
1014C73C2×#356111yescharacteristic, complemented, Sylow
1015C22×#41—731no—
1016C22×#41—731no—
1017C23×Q8—731no—
1018C23×Q8—731no—
1019C23×Q8—731no—
1020C23×D4—731no—
1021#563—7316no—
1022#563—7316no—
1023#562—7316no—
1024#562—7316no—
1025#556—7316no—
1026#556—7316no—
1027#551—7316no—
1028#551—7316no—
1029#551—7316no—
1030#551—7316no—
1031D4×Q8—7316no—
1032D4×Q8—7316no—
1033#548—7316no—
1034#548—7316no—
1035#546—7316no—
1036#546—7316no—
1037#543—7316no—
1038#543—7316no—
1039#542—7316no—
1040#542—7316no—
1041#542—7316no—
1042#542—7316no—
1043#542—7316no—
1044#542C2×D73116yescomplemented
1045#538—7316no—
1046#538—7316no—
1047#536—7316no—
1048#536—7316no—
1049#533—7316no—
1050C2×C4⋊Q8—731no—
1051C2×C4⋊Q8—731no—
1052C2×C4⋊Q8—731no—
1053C2×C4⋊Q8—731no—
1054C2×C4⋊Q8—731no—
1055C2×C4⋊Q8—731no—
1056C2×C4⋊Q8—731no—
1057C2×C4⋊Q8C2×D7311yescharacteristic, complemented
1058#529—7316no—
1059C2×#126—731no—
1060C2×#126—731no—
1061C2×#126—731no—
1062C2×#126—731no—
1063C2×#126—731no—
1064C2×#126—731no—
1065C2×#126—731no—
1066C2×#126—731no—
1067C2×#126—731no—
1068C2×#126—731no—
1069C2×#126—731no—
1070C2×#126—731no—
1071C2×#126C2×D7311yescharacteristic, complemented
1072C2×#126C2×D7311yescharacteristic, complemented
1073C2×#125—731no—
1074C2×#125—731no—
1075C2×#125—731no—
1076C2×#124—731no—
1077C2×#124—731no—
1078C2×#124—731no—
1079C2×#124—7316no—
1080C2×#124—731no—
1081C2×#124—731no—
1082C2×#124—731no—
1083C2×#124—731no—
1084C2×#124—731no—
1085C2×#124—731no—
1086C2×#124—731no—
1087C2×#124—731no—
1088C2×#124—731no—
1089C2×#124—731no—
1090C2×#124—731no—
1091C2×#124—731no—
1092C2×#124—731no—
1093C2×#124C2×D7311yescharacteristic
1094C2×#124C2×D7311yescharacteristic, complemented
1095C2×#124C2×D7311yescharacteristic, complemented
1096C2×#123—731no—
1097C2×#123—731no—
1098C2×#123—731no—
1099C2×#123—731no—
1100C2×#123—731no—
1101C2×#123—731no—
1102C2×#123—731no—
1103C2×#123—731no—
1104C2×#123—731no—
1105C2×#123—731no—
1106C2×#123—731no—
1107C2×#123—731no—
1108C2×#123—731no—
1109C2×#123—731no—
1110C2×#123—731no—
1111C2×#123—731no—
1112C2×#123C2×D7311yescharacteristic
1113C2×#123C2×D7311yescharacteristic, complemented
1114C2×C22⋊Q8—731no—
1115C2×C22⋊Q8—731no—
1116C2×C22⋊Q8—731no—
1117C2×C22⋊Q8—731no—
1118C2×C22⋊Q8—731no—
1119C2×C22⋊Q8—731no—
1120C2×C22⋊Q8—731no—
1121C2×C22⋊Q8—731no—
1122C2×C22⋊Q8—731no—
1123C2×C22⋊Q8—731no—
1124C2×C22⋊Q8—731no—
1125C2×C22⋊Q8—731no—
1126C2×C22⋊Q8—731no—
1127C2×C22⋊Q8—731no—
1128C2×C22⋊Q8—731no—
1129C2×C22⋊Q8—731no—
1130C2×C22⋊Q8—731no—
1131C2×C22⋊Q8—731no—
1132C2×C22⋊Q8—731no—
1133C2×C22⋊Q8—731no—
1134C2×C22⋊Q8—731no—
1135C2×C22⋊Q8—731no—
1136C2×C22⋊Q8—731no—
1137C2×C22⋊Q8—731no—
1138C2×C22⋊Q8—731no—
1139C2×C22⋊Q8—731no—
1140C2×C22⋊Q8—731no—
1141C2×C22⋊Q8—731no—
1142C2×C22⋊Q8—731no—
1143C2×C22⋊Q8—731no—
1144C2×C22⋊Q8—731no—
1145C2×C22⋊Q8—731no—
1146C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1147C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1148C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1149C2×#121—731no—
1150C2×#121—731no—
1151C2×#121—731no—
1152C2×#121—731no—
1153C2×#121—731no—
1154C2×#121—731no—
1155C2×#121—731no—
1156C2×#121—731no—
1157C2×#121—731no—
1158C2×#121—731no—
1159C2×#121C2×D7311yescharacteristic
1160C2×#120—731no—
1161C2×#120—731no—
1162C2×#120—731no—
1163C2×#120—731no—
1164C2×C4×Q8—731no—
1165C2×C4×Q8—731no—
1166C2×C4×Q8—731no—
1167C2×C4×Q8—731no—
1168C2×C4×Q8—731no—
1169C2×C4×Q8—731no—
1170C2×C4×Q8C2×D7311yescharacteristic, complemented
1171C2×C4×D4—731no—
1172C2×C4×D4—731no—
1173C2×C4×D4—731no—
1174C2×C4×D4—731no—
1175C2×C4×D4—731no—
1176C2×C4×D4—731no—
1177C2×C4×D4—731no—
1178C2×C4×D4—731no—
1179C2×C4×D4—731no—
1180C2×C4×D4—731no—
1181C2×C4×D4—731no—
1182C2×C4×D4—731no—
1183C2×C4×D4C2×D7311yescharacteristic, complemented
1184C2×#117—731no—
1185C2×#117—731no—
1186C2×#117—731no—
1187C2×#117—731no—
1188C2×#117—731no—
1189C2×#117—731no—
1190C2×#117—731no—
1191C2×#117C2×D7311yescharacteristic, complemented
1192C22×C22⋊C4—731no—
1193C22×C22⋊C4—731no—
1194C22×C22⋊C4—731no—
1195C22×C22⋊C4—731no—
1196C22×C22⋊C4—731no—
1197C22×C22⋊C4—731no—
1198C22×C22⋊C4—731no—
1199C22×C22⋊C4—731no—
1200C22×C42—731no—
1201C25—731no—
1202C25—731no—
1203C2×#41—2924no—
1204C2×#41—2924no—
1205C2×#41—738no—
1206C2×#41—738no—
1207C22×Q8—2924no—
1208C22×Q8—2924no—
1209C22×Q8—2924no—
1210C22×Q8—738no—
1211C22×Q8—738no—
1212C22×Q8—731no—
1213C22×Q8—731no—
1214C22×Q8—731no—
1215C22×Q8—731no—
1216C22×Q8—731no—
1217C22×Q8—731no—
1218C22×Q8—738no—
1219C22×Q8—731no—
1220C22×Q8—731no—
1221C22×Q8—731no—
1222C22×Q8—731no—
1223C22×Q8C22×D7311yescharacteristic
1224C22×Q8C22×D7311yescharacteristic
1225C22×Q8C22×D7311yescharacteristic
1226C22×D4—2924no—
1227C22×D4—731no—
1228C22×D4—731no—
1229C22×D4—731no—
1230C22×D4—731no—
1231C22×D4—731no—
1232C22×D4—738no—
1233C22×D4—731no—
1234C22×D4—731no—
1235C22×D4—731no—
1236C22×D4—731no—
1237C22×D4—731no—
1238C22×D4—731no—
1239C22×D4—731no—
1240C22×D4C22×D7311yescharacteristic
1241C22×D4C22×D7311yescharacteristic
1242C22×D4C22×D7311yescharacteristic
1243C23×C4—731no—
1244C23×C4—731no—
1245C23×C4—731no—
1246C23×C4—731no—
1247C23×C4—731no—
1248C23×C4—731no—
1249C23×C4—731no—
1250C23×C4—731no—
1251C23×C4—731no—
1252C23×C4—731no—
1253C23×C4—731no—
1254C23×C4—731no—
1255C23×C4—731no—
1256C23×C4—731no—
1257C23×C4—731no—
1258C23×C4—731no—
1259C23×C4C22×D7311yescharacteristic
1260C23×C4C22×D7311yescharacteristic
1261C23×C4C22×D7311yescharacteristic
1262C4⋊Q8—738no—
1263C4⋊Q8—738no—
1264C4⋊Q8—738no—
1265C4⋊Q8—738no—
1266C4⋊Q8—738no—
1267C4⋊Q8—738no—
1268C4⋊Q8—738no—
1269C4⋊Q8C22×D7318yescomplemented
1270#126—738no—
1271#126—738no—
1272#126—738no—
1273#126—738no—
1274#126—738no—
1275#126—738no—
1276#126—738no—
1277#126—738no—
1278#126—738no—
1279#126—738no—
1280#126—738no—
1281#126—738no—
1282#126C22×D7318yescomplemented
1283#126C22×D7318yescomplemented
1284#125—738no—
1285#125—738no—
1286#125—738no—
1287#124—738no—
1288#124—738no—
1289#124—738no—
1290#124—738no—
1291#124—738no—
1292#124—738no—
1293#124—738no—
1294#124—738no—
1295#124—738no—
1296#124—738no—
1297#124—738no—
1298#124—738no—
1299#124—738no—
1300#124—738no—
1301#124—738no—
1302#124—738no—
1303#124C22×D7318yes—
1304#124C22×D7318yescomplemented
1305#124C22×D7318yescomplemented
1306#123—738no—
1307#123—738no—
1308#123—738no—
1309#123—738no—
1310#123—738no—
1311#123—738no—
1312#123—738no—
1313#123—738no—
1314#123—738no—
1315#123—738no—
1316#123—738no—
1317#123—738no—
1318#123—738no—
1319#123—738no—
1320#123—738no—
1321#123—738no—
1322#123C22×D7318yes—
1323#123C22×D7318yescomplemented
1324C22⋊Q8—738no—
1325C22⋊Q8—738no—
1326C22⋊Q8—738no—
1327C22⋊Q8—738no—
1328C22⋊Q8—738no—
1329C22⋊Q8—738no—
1330C22⋊Q8—738no—
1331C22⋊Q8—738no—
1332C22⋊Q8—738no—
1333C22⋊Q8—738no—
1334C22⋊Q8—738no—
1335C22⋊Q8—738no—
1336C22⋊Q8—738no—
1337C22⋊Q8—738no—
1338C22⋊Q8—738no—
1339C22⋊Q8—738no—
1340C22⋊Q8—738no—
1341C22⋊Q8—738no—
1342C22⋊Q8—738no—
1343C22⋊Q8—738no—
1344C22⋊Q8—738no—
1345C22⋊Q8—738no—
1346C22⋊Q8—738no—
1347C22⋊Q8—738no—
1348C22⋊Q8—738no—
1349C22⋊Q8—738no—
1350C22⋊Q8—738no—
1351C22⋊Q8—738no—
1352C22⋊Q8—738no—
1353C22⋊Q8—738no—
1354C22⋊Q8—738no—
1355C22⋊Q8—738no—
1356C22⋊Q8C22×D7318yescomplemented
1357C22⋊Q8C22×D7318yescomplemented
1358C22⋊Q8C22×D7318yescomplemented
1359#121—738no—
1360#121—738no—
1361#121—738no—
1362#121—738no—
1363#121—738no—
1364#121—738no—
1365#121—738no—
1366#121—738no—
1367#121—738no—
1368#121—738no—
1369#121C22×D7318yes—
1370#120—738no—
1371#120—738no—
1372#120—738no—
1373#120—738no—
1374C4×Q8—738no—
1375C4×Q8—738no—
1376C4×Q8—738no—
1377C4×Q8—738no—
1378C4×Q8—738no—
1379C4×Q8—738no—
1380C4×Q8C22×D7318yescomplemented
1381C4×D4—738no—
1382C4×D4—738no—
1383C4×D4—738no—
1384C4×D4—738no—
1385C4×D4—738no—
1386C4×D4—738no—
1387C4×D4—738no—
1388C4×D4—738no—
1389C4×D4—738no—
1390C4×D4—738no—
1391C4×D4—738no—
1392C4×D4—738no—
1393C4×D4C22×D7318yescomplemented
1394#117—738no—
1395#117—738no—
1396#117—738no—
1397#117—738no—
1398#117—738no—
1399#117—738no—
1400#117—738no—
1401#117C22×D7318yescomplemented
1402C2×C4⋊C4—731no—
1403C2×C4⋊C4—731no—
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—731no—
1406C2×C4⋊C4—731no—
1407C2×C4⋊C4—731no—
1408C2×C4⋊C4—731no—
1409C2×C4⋊C4—731no—
1410C2×C4⋊C4—731no—
1411C2×C4⋊C4—731no—
1412C2×C4⋊C4—731no—
1413C2×C4⋊C4—731no—
1414C2×C4⋊C4—731no—
1415C2×C4⋊C4—731no—
1416C2×C4⋊C4—731no—
1417C2×C4⋊C4—731no—
1418C2×C4⋊C4—731no—
1419C2×C4⋊C4—731no—
1420C2×C4⋊C4—731no—
1421C2×C4⋊C4—731no—
1422C2×C4⋊C4—731no—
1423C2×C4⋊C4—731no—
1424C2×C4⋊C4—731no—
1425C2×C4⋊C4—731no—
1426C2×C4⋊C4—731no—
1427C2×C4⋊C4—731no—
1428C2×C4⋊C4—731no—
1429C2×C4⋊C4—731no—
1430C2×C4⋊C4—731no—
1431C2×C4⋊C4—731no—
1432C2×C4⋊C4—731no—
1433C2×C4⋊C4—731no—
1434C2×C4⋊C4C22×D7311yescharacteristic
1435C2×C4⋊C4C22×D7311yescharacteristic
1436C2×C4⋊C4C22×D7311yescharacteristic
1437C2×C4⋊C4C22×D7311yescharacteristic
1438C2×C4⋊C4C22×D7311yescharacteristic
1439C2×C4⋊C4C22×D7311yescharacteristic
1440C2×C4⋊C4C22×D7311yescharacteristic
1441C2×C4⋊C4C22×D7311yescharacteristic
1442C2×C4⋊C4C22×D7311yescharacteristic
1443C2×C4⋊C4C22×D7311yescharacteristic
1444C2×C22⋊C4—731no—
1445C2×C22⋊C4—731no—
1446C2×C22⋊C4—731no—
1447C2×C22⋊C4—731no—
1448C2×C22⋊C4—731no—
1449C2×C22⋊C4—731no—
1450C2×C22⋊C4—731no—
1451C2×C22⋊C4—731no—
1452C2×C22⋊C4—731no—
1453C2×C22⋊C4—731no—
1454C2×C22⋊C4—731no—
1455C2×C22⋊C4—731no—
1456C2×C22⋊C4—731no—
1457C2×C22⋊C4—731no—
1458C2×C22⋊C4—731no—
1459C2×C22⋊C4—731no—
1460C2×C22⋊C4—731no—
1461C2×C22⋊C4—731no—
1462C2×C22⋊C4—731no—
1463C2×C22⋊C4—731no—
1464C2×C22⋊C4—731no—
1465C2×C22⋊C4—731no—
1466C2×C22⋊C4—731no—
1467C2×C22⋊C4—731no—
1468C2×C22⋊C4—731no—
1469C2×C22⋊C4—731no—
1470C2×C22⋊C4—731no—
1471C2×C22⋊C4—731no—
1472C2×C22⋊C4—738no—
1473C2×C22⋊C4—738no—
1474C2×C22⋊C4—731no—
1475C2×C22⋊C4—731no—
1476C2×C22⋊C4—731no—
1477C2×C22⋊C4—731no—
1478C2×C22⋊C4—731no—
1479C2×C22⋊C4—731no—
1480C2×C22⋊C4—731no—
1481C2×C22⋊C4—731no—
1482C2×C22⋊C4—731no—
1483C2×C22⋊C4—731no—
1484C2×C22⋊C4—738no—
1485C2×C22⋊C4—738no—
1486C2×C22⋊C4—738no—
1487C2×C22⋊C4—738no—
1488C2×C22⋊C4—738no—
1489C2×C22⋊C4—738no—
1490C2×C22⋊C4C22×D7311yescharacteristic
1491C2×C22⋊C4C22×D7311yescharacteristic
1492C2×C22⋊C4C22×D7311yescharacteristic
1493C2×C22⋊C4C22×D7311yescharacteristic
1494C2×C22⋊C4C22×D7311yescharacteristic
1495C2×C22⋊C4C22×D7311yescharacteristic
1496C2×C22⋊C4C22×D7311yescharacteristic
1497C2×C22⋊C4C22×D7311yescharacteristic
1498C2×C22⋊C4C22×D7311yescharacteristic
1499C2×C22⋊C4C22×D7311yescharacteristic
1500C2×C22⋊C4C22×D7311yescharacteristic
1501C2×C22⋊C4C22×D7311yescharacteristic
1502C2×C42—731no—
1503C2×C42—731no—
1504C2×C42—731no—
1505C2×C42—731no—
1506C2×C42—731no—
1507C2×C42—731no—
1508C2×C42—731no—
1509C2×C42—731no—
1510C2×C42—731no—
1511C2×C42—731no—
1512C2×C42—738no—
1513C2×C42C22×D7311yescharacteristic
1514C2×C42C22×D7311yescharacteristic
1515C2×C42C22×D7311yescharacteristic
1516C2×C42C22×D7311yescharacteristic
1517C24—2922no—
1518C24—2922no—
1519C24—2922no—
1520C24—2922no—
1521C24—734no—
1522C24—734no—
1523C24—731no—
1524C24—731no—
1525C24—731no—
1526C24—731no—
1527C24—1464no—
1528C24—1464no—
1529C24C23×D7311yescharacteristic
1530C24C23×D7311yescharacteristic
1531C24C23×D7311yescharacteristic
1532#41—29216no—
1533#41—29216no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—2922no—
1538C2×Q8—2922no—
1539C2×Q8—2922no—
1540C2×Q8—2922no—
1541C2×Q8—2922no—
1542C2×Q8—2922no—
1543C2×Q8—29216no—
1544C2×Q8—29216no—
1545C2×Q8—29216no—
1546C2×Q8—734no—
1547C2×Q8—734no—
1548C2×Q8—734no—
1549C2×Q8—734no—
1550C2×Q8—734no—
1551C2×Q8—734no—
1552C2×Q8—734no—
1553C2×Q8—734no—
1554C2×Q8—734no—
1555C2×Q8—734no—
1556C2×Q8—1464no—
1557C2×Q8—1464no—
1558C2×Q8—1464no—
1559C2×Q8—1464no—
1560C2×Q8C23×D7314yes—
1561C2×Q8C23×D7314yes—
1562C2×Q8C23×D7314yes—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—2922no—
1567C2×D4—2922no—
1568C2×D4—2922no—
1569C2×D4—29216no—
1570C2×D4—2922no—
1571C2×D4—2922no—
1572C2×D4—2922no—
1573C2×D4—2922no—
1574C2×D4—2922no—
1575C2×D4—734no—
1576C2×D4—734no—
1577C2×D4—734no—
1578C2×D4—734no—
1579C2×D4—734no—
1580C2×D4—734no—
1581C2×D4—734no—
1582C2×D4—734no—
1583C2×D4—734no—
1584C2×D4—734no—
1585C2×D4—734no—
1586C2×D4—734no—
1587C2×D4—1464no—
1588C2×D4—1464no—
1589C2×D4—1464no—
1590C2×D4—1464no—
1591C2×D4C23×D7314yes—
1592C2×D4C23×D7314yes—
1593C2×D4C23×D7314yes—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—2922no—
1598C22×C4—2922no—
1599C22×C4—2922no—
1600C22×C4—2922no—
1601C22×C4—2922no—
1602C22×C4—2922no—
1603C22×C4—2922no—
1604C22×C4—2922no—
1605C22×C4—2922no—
1606C22×C4—2922no—
1607C22×C4—2922no—
1608C22×C4—2922no—
1609C22×C4—734no—
1610C22×C4—734no—
1611C22×C4—734no—
1612C22×C4—734no—
1613C22×C4—734no—
1614C22×C4—734no—
1615C22×C4—734no—
1616C22×C4—734no—
1617C22×C4—734no—
1618C22×C4—734no—
1619C22×C4—734no—
1620C22×C4—734no—
1621C22×C4—731no—
1622C22×C4—734no—
1623C22×C4—731no—
1624C22×C4—731no—
1625C22×C4—731no—
1626C22×C4—731no—
1627C22×C4—731no—
1628C22×C4—731no—
1629C22×C4—731no—
1630C22×C4—731no—
1631C22×C4—731no—
1632C22×C4—731no—
1633C22×C4—731no—
1634C22×C4—734no—
1635C22×C4—734no—
1636C22×C4—734no—
1637C22×C4—1464no—
1638C22×C4—1464no—
1639C22×C4—1464no—
1640C22×C4—1464no—
1641C22×C4C23×D7311yescharacteristic
1642C22×C4C23×D7311yescharacteristic
1643C22×C4C23×D7311yescharacteristic
1644C22×C4C23×D7311yescharacteristic
1645C22×C4C23×D7311yescharacteristic
1646C22×C4C23×D7311yescharacteristic
1647C22×C4C23×D7311yescharacteristic
1648C22×C4C23×D7311yescharacteristic
1649C22×C4C23×D7311yescharacteristic
1650C22×C4C23×D7311yescharacteristic
1651C22×C4C23×D7311yescharacteristic
1652C22×C4C23×D7311yescharacteristic
1653C22×C4C23×D7314yes—
1654C22×C4C23×D7314yes—
1655C22×C4C23×D7314yes—
1656C4⋊C4—734no—
1657C4⋊C4—734no—
1658C4⋊C4—734no—
1659C4⋊C4—734no—
1660C4⋊C4—734no—
1661C4⋊C4—734no—
1662C4⋊C4—734no—
1663C4⋊C4—734no—
1664C4⋊C4—734no—
1665C4⋊C4—734no—
1666C4⋊C4—734no—
1667C4⋊C4—734no—
1668C4⋊C4—734no—
1669C4⋊C4—734no—
1670C4⋊C4—734no—
1671C4⋊C4—734no—
1672C4⋊C4—734no—
1673C4⋊C4—734no—
1674C4⋊C4—734no—
1675C4⋊C4—734no—
1676C4⋊C4—734no—
1677C4⋊C4—734no—
1678C4⋊C4—734no—
1679C4⋊C4—734no—
1680C4⋊C4—734no—
1681C4⋊C4—734no—
1682C4⋊C4—734no—
1683C4⋊C4—734no—
1684C4⋊C4—734no—
1685C4⋊C4—734no—
1686C4⋊C4—734no—
1687C4⋊C4—734no—
1688C4⋊C4C23×D7314yes—
1689C4⋊C4C23×D7314yes—
1690C4⋊C4C23×D7314yes—
1691C4⋊C4C23×D7314yes—
1692C4⋊C4C23×D7314yes—
1693C4⋊C4C23×D7314yes—
1694C4⋊C4C23×D7314yes—
1695C4⋊C4C23×D7314yes—
1696C4⋊C4C23×D7314yes—
1697C4⋊C4C23×D7314yes—
1698C22⋊C4—734no—
1699C22⋊C4—734no—
1700C22⋊C4—734no—
1701C22⋊C4—734no—
1702C22⋊C4—734no—
1703C22⋊C4—734no—
1704C22⋊C4—734no—
1705C22⋊C4—734no—
1706C22⋊C4—734no—
1707C22⋊C4—734no—
1708C22⋊C4—734no—
1709C22⋊C4—734no—
1710C22⋊C4—734no—
1711C22⋊C4—734no—
1712C22⋊C4—734no—
1713C22⋊C4—734no—
1714C22⋊C4—734no—
1715C22⋊C4—734no—
1716C22⋊C4—734no—
1717C22⋊C4—734no—
1718C22⋊C4—734no—
1719C22⋊C4—734no—
1720C22⋊C4—734no—
1721C22⋊C4—734no—
1722C22⋊C4—734no—
1723C22⋊C4—734no—
1724C22⋊C4—734no—
1725C22⋊C4—734no—
1726C22⋊C4—734no—
1727C22⋊C4—734no—
1728C22⋊C4—734no—
1729C22⋊C4—734no—
1730C22⋊C4—734no—
1731C22⋊C4—734no—
1732C22⋊C4—734no—
1733C22⋊C4—734no—
1734C22⋊C4—734no—
1735C22⋊C4—734no—
1736C22⋊C4C23×D7314yes—
1737C22⋊C4C23×D7314yes—
1738C22⋊C4C23×D7314yes—
1739C22⋊C4C23×D7314yes—
1740C22⋊C4C23×D7314yes—
1741C22⋊C4C23×D7314yes—
1742C22⋊C4C23×D7314yes—
1743C22⋊C4C23×D7314yes—
1744C22⋊C4C23×D7314yes—
1745C22⋊C4C23×D7314yes—
1746C22⋊C4C23×D7314yes—
1747C22⋊C4C23×D7314yes—
1748C42—734no—
1749C42—734no—
1750C42—734no—
1751C42—734no—
1752C42—734no—
1753C42—734no—
1754C42—734no—
1755C42—734no—
1756C42—734no—
1757C42—734no—
1758C42C23×D7314yes—
1759C42C23×D7314yes—
1760C42C23×D7314yes—
1761C42C23×D7314yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—2924no—
1772C23—2924no—
1773C23—2924no—
1774C23—2924no—
1775C23—5848no—
1776C23—5848no—
1777C23—734no—
1778C23—732no—
1779C23—732no—
1780C23—732no—
1781C23—732no—
1782C23—1468no—
1783C23—1468no—
1784C23—1462no—
1785C23—1462no—
1786C23—1462no—
1787C23—1462no—
1788C23—1462no—
1789C23—1462no—
1790C23—1462no—
1791C23—1462no—
1792C23—1462no—
1793C23—1462no—
1794C23—1462no—
1795C23C24×D7312yes—
1796C23C24×D7312yes—
1797C23C24×D7312yes—
1798C23C24×D7311yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—2924no—
1803Q8—2924no—
1804Q8—2924no—
1805Q8—2924no—
1806Q8—2924no—
1807Q8—2924no—
1808Q8—1468no—
1809Q8—1468no—
1810Q8—1468no—
1811Q8—1468no—
1812D4—44no—
1813D4—44no—
1814D4—44no—
1815D4—2924no—
1816D4—2924no—
1817D4—2924no—
1818D4—2924no—
1819D4—2924no—
1820D4—2924no—
1821D4—2924no—
1822D4—2924no—
1823D4—1468no—
1824D4—1468no—
1825D4—1468no—
1826D4—1468no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—2924no—
1843C2×C4—2924no—
1844C2×C4—2924no—
1845C2×C4—2924no—
1846C2×C4—2924no—
1847C2×C4—2924no—
1848C2×C4—2924no—
1849C2×C4—2924no—
1850C2×C4—2924no—
1851C2×C4—2924no—
1852C2×C4—2924no—
1853C2×C4—2924no—
1854C2×C4—734no—
1855C2×C4—732no—
1856C2×C4—732no—
1857C2×C4—732no—
1858C2×C4—732no—
1859C2×C4—732no—
1860C2×C4—732no—
1861C2×C4—732no—
1862C2×C4—732no—
1863C2×C4—732no—
1864C2×C4—732no—
1865C2×C4—732no—
1866C2×C4—732no—
1867C2×C4—1468no—
1868C2×C4—1468no—
1869C2×C4—1468no—
1870C2×C4—1468no—
1871C2×C4—1462no—
1872C2×C4—1462no—
1873C2×C4—1462no—
1874C2×C4—1462no—
1875C2×C4—1462no—
1876C2×C4—1462no—
1877C2×C4—1462no—
1878C2×C4—1462no—
1879C2×C4—1462no—
1880C2×C4—1462no—
1881C2×C4—1462no—
1882C2×C4C24×D7312yes—
1883C2×C4C24×D7312yes—
1884C2×C4C24×D7312yes—
1885C2×C4C24×D7312yes—
1886C2×C4C24×D7312yes—
1887C2×C4C24×D7312yes—
1888C2×C4C24×D7312yes—
1889C2×C4C24×D7312yes—
1890C2×C4C24×D7312yes—
1891C2×C4C24×D7312yes—
1892C2×C4C24×D7312yes—
1893C2×C4C24×D7312yes—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—2924no—
1907C22—2924no—
1908C22—2924no—
1909C22—5848no—
1910C22—5848no—
1911C22—734no—
1912C22—1462no—
1913C22—1462no—
1914C22—1462no—
1915C22—1462no—
1916C22—1462no—
1917C22—1462no—
1918C22—1462no—
1919C22—1462no—
1920C22—1462no—
1921C22—1462no—
1922C22—1462no—
1923C22—1468no—
1924C22H(5,𝔽2)×D7312yes—
1925C222−1+4×D7312yes—
1926C22#1798942312yes—
1927C22C25×D7311yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—734no—
1941C4—1462no—
1942C4—1462no—
1943C4—1462no—
1944C4—1462no—
1945C4—1462no—
1946C4—1462no—
1947C4—1462no—
1948C4—1462no—
1949C4—1462no—
1950C4—1462no—
1951C4—1462no—
1952C2—42no—
1953C2—42no—
1954C2—42no—
1955C2—2922no—
1956C2—2922no—
1957C2—2922no—
1958C2—1464no—
1959C2#2262449514yesdirect product factor
1960C2C2×H(5,𝔽2)×D7311yescharacteristic
1961C2C2×2−1+4×D7311yescharacteristic
1962C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#542×C73C2
socleC23×C73C25
hypercenterC2×#542D73
hypocenterC73C2×#3561
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #22624495C2direct (N × H)
2. C2×#17989340C2semidirect
3. C2×#17989336C2semidirect
4. C2×#17989333C2semidirect
5. C2×#17989332C2semidirect
6. C2×#17989305C2semidirect
7. C2×#17989304C2semidirect
8. C2×#17989267C2semidirect
9. C2×#17989266C2semidirect
10. C2×#17989262C2semidirect
11. C2×#17989261C2semidirect
12. C2×#17989252C2semidirect
13. C2×#17989250C2semidirect
14. C2×#17989246C2semidirect
15. C2×#17989245C2semidirect
16. C2×#17989229C2semidirect
17. C2×#17989226C2semidirect
18. C2×#17989212C2semidirect
19. C2×#17989212C2semidirect
20. C2×#17989209C2semidirect
21. C2×#17989207C2semidirect
22. C2×#17989203C2semidirect
23. C2×#17989201C2semidirect
24. C2×#17989201C2semidirect
25. C2×#17989173C2semidirect
26. C2×#17989171C2semidirect
27. C2×#17989160C2semidirect
28. C2×#17989159C2semidirect
29. C2×#17989141C2semidirect
30. C2×#17989120C2semidirect
31. C2×#124×D73C2semidirect
32. C2×#542×C73C2semidirect
35. C23×Dic146C22semidirect
37. C22×Q8×D73C22semidirect
39. #17989340C22semidirect
40. #17989336C22semidirect
41. #17989333C22semidirect
42. #17989332C22semidirect
43. #17989305C22semidirect
44. #17989304C22semidirect
45. #17989267C22semidirect
46. #17989266C22semidirect
47. #17989262C22semidirect
48. #17989261C22semidirect
49. #17989252C22semidirect
50. #17989250C22semidirect
51. #17989246C22semidirect
52. #17989245C22semidirect
53. #17989229C22semidirect
54. #17989226C22semidirect
55. #17989212C22semidirect
56. #17989212C22semidirect
57. #17989209C22semidirect
58. #17989207C22semidirect
59. #17989203C22semidirect
60. #17989201C22semidirect
61. #17989201C22semidirect
62. #17989173C22semidirect
63. #17989171C22semidirect
64. #17989160C22semidirect
65. #17989159C22semidirect
66. #17989141C22semidirect
67. C2×#14556590C22semidirect
68. C2×#14556590C22semidirect
69. C2×#14556590C22semidirect
70. C2×#14556590C22semidirect
71. C2×#14556590C22semidirect
72. C2×#14556589C22semidirect
73. C2×#14556589C22semidirect
74. #17989120C22semidirect
75. C2×#14556586C22semidirect
76. C2×#14556586C22semidirect
77. C2×#14556586C22semidirect
78. C2×#14556585C22semidirect
79. C2×#14556585C22semidirect
80. C2×#14556585C22semidirect
81. C2×#14556585C22semidirect
82. C2×#14556584C22semidirect
83. C2×#14556584C22semidirect
84. C2×#14556584C22semidirect
85. C2×#14556584C22semidirect
86. C2×#14556584C22semidirect
87. C2×#14556581C22semidirect
88. C2×#14556581C22semidirect
89. C2×#14556581C22semidirect
91. C2×#14556580C22semidirect
93. C2×#14556579C22semidirect
101. C2×#14556577C22semidirect
102. C2×#14556577C22semidirect
103. C2×#14556577C22semidirect
104. C2×#14556577C22semidirect
105. C2×#14556577C22semidirect
106. #124×D73C22semidirect
110. C2×#14556576C22semidirect
111. C2×#14556576C22semidirect
112. C2×#14556576C22semidirect
113. C2×#14556575C22semidirect
114. C2×#14556574C22semidirect
115. C2×#14556574C22semidirect
117. C2×#14556573C22semidirect
118. C2×#14556573C22semidirect
119. C2×#14556573C22semidirect
121. C2×#14556572C22semidirect
122. C2×#14556572C22semidirect
125. C2×#14556571C22semidirect
126. C2×#14556571C22semidirect
127. C2×#14556570C22semidirect
128. C2×#14556570C22semidirect
129. C2×#14556570C22semidirect
135. C2×#14556569C22semidirect
136. C2×#14556569C22semidirect
137. C2×#14556569C22semidirect
138. C2×#14556569C22semidirect
139. C2×#14556569C22semidirect
140. C2×#14556569C22semidirect
141. C2×#14556569C22semidirect
142. C2×#14556568C22semidirect
143. C2×#14556568C22semidirect
144. C2×#14556568C22semidirect
145. C2×#14556568C22semidirect
146. C2×#14556568C22semidirect
147. C2×#14556568C22semidirect
148. C2×#14556568C22semidirect
151. C2×#14556567C22semidirect
152. C2×#14556567C22semidirect
153. C2×#14556567C22semidirect
154. C2×#14556567C22semidirect
156. C2×#14556565C22semidirect
160. C2×#14556564C22semidirect
163. C2×#14556563C22semidirect
164. C2×#14556562C22semidirect
169. C2×C4×Dic146C22semidirect
170. C2×C4×Dic146C22semidirect
171. C2×C4×Dic146C22semidirect
172. C2×C4×Dic146C22semidirect
173. C2×#14556556C22semidirect
174. C2×#14556556C22semidirect
176. C2×C4×D292C22semidirect
184. C2×#14556551C22semidirect
185. C2×#14556551C22semidirect
186. C2×#14556551C22semidirect
187. C2×#14556549C22semidirect
188. C2×#14556549C22semidirect
191. C2×#14556548C22semidirect
192. C2×#14556547C22semidirect
193. C2×#14556547C22semidirect
203. #542×C73C22semidirect
204. C2×C4⋊Q8×C73C22semidirect
205. C2×#126×C73C22semidirect
206. C2×#126×C73C22semidirect
208. C2×#124×C73C22semidirect
209. C2×#124×C73C22semidirect
211. C2×#123×C73C22semidirect
212. C2×C22⋊Q8×C73C22semidirect
213. C2×C22⋊Q8×C73C22semidirect
214. C2×C22⋊Q8×C73C22semidirect
216. C2×C4×Q8×C73C22semidirect
217. C2×C4×D4×C73C22semidirect
218. C2×#117×C73C22semidirect
236. C22×Dic146C23semidirect
240. C2×Q8×D73C23semidirect
271. #14556590C23semidirect
272. #14556590C23semidirect
273. #14556590C23semidirect
274. #14556590C23semidirect
275. #14556590C23semidirect
276. #14556589C23semidirect
277. #14556589C23semidirect
278. #14556586C23semidirect
279. #14556586C23semidirect
280. #14556586C23semidirect
281. #14556585C23semidirect
282. #14556585C23semidirect
283. #14556585C23semidirect
284. #14556585C23semidirect
285. #14556584C23semidirect
286. #14556584C23semidirect
287. #14556584C23semidirect
288. #14556584C23semidirect
289. #14556584C23semidirect
290. #14556581C23semidirect
291. #14556581C23semidirect
292. #14556581C23semidirect
294. #14556580C23semidirect
296. #14556579C23semidirect
304. #14556577C23semidirect
305. #14556577C23semidirect
306. #14556577C23semidirect
307. #14556577C23semidirect
308. #14556577C23semidirect
312. #14556576C23semidirect
313. #14556576C23semidirect
314. #14556576C23semidirect
315. #14556575C23semidirect
316. #14556574C23semidirect
317. #14556574C23semidirect
319. #14556573C23semidirect
320. #14556573C23semidirect
321. #14556573C23semidirect
323. #14556572C23semidirect
324. #14556572C23semidirect
327. #14556571C23semidirect
328. #14556571C23semidirect
329. #14556570C23semidirect
330. #14556570C23semidirect
331. #14556570C23semidirect
337. #14556569C23semidirect
338. #14556569C23semidirect
339. #14556569C23semidirect
340. #14556569C23semidirect
341. #14556569C23semidirect
342. #14556569C23semidirect
343. #14556569C23semidirect
344. #14556568C23semidirect
345. #14556568C23semidirect
346. #14556568C23semidirect
347. #14556568C23semidirect
348. #14556568C23semidirect
349. #14556568C23semidirect
350. #14556568C23semidirect
353. #14556567C23semidirect
354. #14556567C23semidirect
355. #14556567C23semidirect
356. #14556567C23semidirect
358. #14556565C23semidirect
362. #14556564C23semidirect
365. #14556563C23semidirect
366. #14556562C23semidirect
371. C4×Dic146C23semidirect
372. C4×Dic146C23semidirect
373. C4×Dic146C23semidirect
374. C4×Dic146C23semidirect
375. #14556556C23semidirect
376. #14556556C23semidirect
378. C4×D292C23semidirect
386. #14556551C23semidirect
387. #14556551C23semidirect
388. #14556551C23semidirect
389. #14556549C23semidirect
390. #14556549C23semidirect
393. #14556548C23semidirect
394. #14556547C23semidirect
395. #14556547C23semidirect
494. C4⋊Q8×C73C23semidirect
495. #126×C73C23semidirect
496. #126×C73C23semidirect
498. #124×C73C23semidirect
499. #124×C73C23semidirect
501. #123×C73C23semidirect
502. C22⋊Q8×C73C23semidirect
503. C22⋊Q8×C73C23semidirect
504. C22⋊Q8×C73C23semidirect
506. C4×Q8×C73C23semidirect
507. C4×D4×C73C23semidirect
508. #117×C73C23semidirect
974. C2×C73#3561semidirect
1006. C2×#542D73semidirect
1014. C73C2×#3561semidirect
1044. #542C2×D73semidirect
1057. C2×C4⋊Q8C2×D73semidirect
1071. C2×#126C2×D73semidirect
1072. C2×#126C2×D73semidirect
1094. C2×#124C2×D73semidirect
1095. C2×#124C2×D73semidirect
1113. C2×#123C2×D73semidirect
1146. C2×C22⋊Q8C2×D73semidirect
1147. C2×C22⋊Q8C2×D73semidirect
1148. C2×C22⋊Q8C2×D73semidirect
1170. C2×C4×Q8C2×D73semidirect
1183. C2×C4×D4C2×D73semidirect
1191. C2×#117C2×D73semidirect
1269. C4⋊Q8C22×D73semidirect
1282. #126C22×D73semidirect
1283. #126C22×D73semidirect
1304. #124C22×D73semidirect
1305. #124C22×D73semidirect
1323. #123C22×D73semidirect
1356. C22⋊Q8C22×D73semidirect
1357. C22⋊Q8C22×D73semidirect
1358. C22⋊Q8C22×D73semidirect
1380. C4×Q8C22×D73semidirect
1393. C4×D4C22×D73semidirect
1401. #117C22×D73semidirect
1959. C2#22624495direct (N × H)

Maximal subgroups

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

subgroupindex
#226244952
C2×#179893402
C2×#179893362
C2×#179893332
C2×#179893322
C2×#179893052
C2×#179893042
C2×#179892672
C2×#179892662
C2×#179892622
C2×#179892612
C2×#179892522
C2×#179892502
C2×#179892462
C2×#179892452
C2×#179892292
C2×#179892262
C2×#179892122
C2×#179892092
C2×#179892072
C2×#179892032
C2×#179892012
C2×#179891732
C2×#179891712
C2×#179891602
C2×#179891592
C2×#179891412
C2×#179891202
C2×#124×D732
C2×#542×C732
C2×#356173