Finite Group Databasebeta

← C2×#22624596 #33993531

Subgroups — C2×#22624596 #33993531

Order 18688.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624596C2132yesmaximal, direct product factor
2C2×#17989338C211yesmaximal, characteristic, complemented
3C2×#17989334C211yesmaximal, characteristic, complemented
4C2×#17989325C211yesmaximal, characteristic, complemented
5C2×#17989319C211yesmaximal, characteristic, complemented
6C2×#17989306C211yesmaximal, characteristic, complemented
7C2×#17989301C211yesmaximal, characteristic, complemented
8C2×#17989289C211yesmaximal, characteristic, complemented
9C2×#17989289C211yesmaximal, characteristic, complemented
10C2×#17989282C211yesmaximal, characteristic, complemented
11C2×#17989279C211yesmaximal, characteristic, complemented
12C2×#17989279C211yesmaximal, characteristic, complemented
13C2×#17989275C211yesmaximal, characteristic, complemented
14C2×#17989265C211yesmaximal, characteristic, complemented
15C2×#17989264C211yesmaximal, characteristic, complemented
16C2×#17989260C211yesmaximal, characteristic, complemented
17C2×#17989207C211yesmaximal, characteristic, complemented
18C2×#17989207C211yesmaximal, characteristic, complemented
19C2×#17989201C211yesmaximal, characteristic, complemented
20C2×#17989197C211yesmaximal, characteristic, complemented
21C2×#17989196C211yesmaximal, characteristic, complemented
22C2×#17989187C211yesmaximal, characteristic, complemented
23C2×#17989181C211yesmaximal, characteristic, complemented
24C2×#17989181C211yesmaximal, characteristic, complemented
25C2×#17989180C211yesmaximal, characteristic, complemented
26C2×#17989174C211yesmaximal, characteristic, complemented
27C2×#17989171C211yesmaximal, characteristic, complemented
28C2×#17989169C211yesmaximal, characteristic, complemented
29C2×#17989123C211yesmaximal, characteristic, complemented
30C2×#17989118C211yesmaximal, characteristic, complemented
31C2×#17989114C211yesmaximal, characteristic, complemented
32C2×#562×C73C211yesmaximal, characteristic, complemented
33#17989338C22116yescomplemented
34#17989334C22116yescomplemented
35#17989325C22116yescomplemented
36#17989319C22116yescomplemented
37#17989306C22116yescomplemented
38#17989301C22116yescomplemented
39#17989289C22116yescomplemented
40#17989289C22116yescomplemented
41#17989282C22116yescomplemented
42#17989279C22116yescomplemented
43#17989279C22116yescomplemented
44#17989275C22116yescomplemented
45#17989265C22116yescomplemented
46#17989264C22116yescomplemented
47#17989260C22116yescomplemented
48#17989207C22116yescomplemented
49#17989207C22116yescomplemented
50#17989201C22116yescomplemented
51#17989197C22116yescomplemented
52#17989196C22116yescomplemented
53#17989187C22116yescomplemented
54#17989181C22116yescomplemented
55#17989181C22116yescomplemented
56#17989180C22116yescomplemented
57#17989174C22116yescomplemented
58#17989171C22116yescomplemented
59#17989169C22116yescomplemented
60C2×#14556590C2211yescharacteristic, complemented
61C2×#14556589C2211yescharacteristic, complemented
62C2×#14556589C2211yescharacteristic, complemented
63C2×#14556587C2211yescharacteristic
64#17989123C22116yescomplemented
65#17989118C22116yescomplemented
66#17989114C22116yescomplemented
67C2×#14556586C2211yescharacteristic
68C2×#14556586C2211yescharacteristic
69C2×#14556586C2211yescharacteristic
70C2×#14556586C2211yescharacteristic
71C2×#14556586C2211yescharacteristic
72C2×#14556586C2211yescharacteristic
73C2×#14556586C2211yescharacteristic
74C2×#14556586C2211yescharacteristic
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556585C2211yescharacteristic
77C2×#14556584C2211yescharacteristic
78C2×#14556584C2211yescharacteristic
79C2×#14556584C2211yescharacteristic
80C2×#14556584C2211yescharacteristic
81C2×#14556584C2211yescharacteristic
82C2×#14556584C2211yescharacteristic, complemented
83C2×#14556584C2211yescharacteristic, complemented
84C2×#14556584C2211yescharacteristic, complemented
85C2×#14556584C2211yescharacteristic, complemented
86C2×#14556584C2211yescharacteristic, complemented
87C2×#14556582C2211yescharacteristic, complemented
88C2×#14556582C2211yescharacteristic, complemented
89C2×#14556582C2211yescharacteristic, complemented
90C2×#14556582C2211yescharacteristic, complemented
91C2×#14556582C2211yescharacteristic, complemented
92C2×#14556582C2211yescharacteristic, complemented
93C2×#14556582C2211yescharacteristic, complemented
94C2×#14556581C2211yescharacteristic, complemented
95C2×#14556581C2211yescharacteristic, complemented
96C2×#14556581C2211yescharacteristic, complemented
97C2×#14556581C2211yescharacteristic, complemented
98C2×#14556580C2211yescharacteristic
99C2×#14556580C2211yescharacteristic
100C2×#14556578C2211yescharacteristic
101C2×#14556578C2211yescharacteristic
102C2×#14556577C2211yescharacteristic
103C2×#14556577C2211yescharacteristic
104C2×#14556577C2211yescharacteristic
105C2×#14556577C2211yescharacteristic
106C2×#14556577C2211yescharacteristic, complemented
107C2×#14556577C2211yescharacteristic, complemented
108C2×#14556576C2211yescharacteristic
109C2×#14556576C2211yescharacteristic
110C2×#14556576C2211yescharacteristic
111C2×#14556575C2211yescharacteristic
112C2×#14556575C2211yescharacteristic
113C2×#14556575C2211yescharacteristic
114C2×#14556575C2211yescharacteristic
115C2×#14556575C2211yescharacteristic
116C2×#14556575C2211yescharacteristic
117C2×#14556575C2211yescharacteristic, complemented
118C2×#14556574C2211yescharacteristic
119C2×#14556574C2211yescharacteristic
120C2×#14556574C2211yescharacteristic, complemented
121C2×#14556573C2211yescharacteristic
122C2×#14556573C2211yescharacteristic
123C2×#14556573C2211yescharacteristic
124C2×#14556573C2211yescharacteristic
125C2×#14556573C2211yescharacteristic, complemented
126C2×#14556572C2211yescharacteristic
127C2×#14556572C2211yescharacteristic, complemented
128C2×#14556571C2211yescharacteristic
129C2×#14556571C2211yescharacteristic, complemented
130C2×#14556570C2211yescharacteristic
131C2×#14556570C2211yescharacteristic, complemented
132C2×#14556569C2211yescharacteristic
133C2×#14556569C2211yescharacteristic
134C2×#14556569C2211yescharacteristic
135C2×#14556569C2211yescharacteristic, complemented
136C2×#14556568C2211yescharacteristic
137C2×#14556568C2211yescharacteristic, complemented
138C2×#14556568C2211yescharacteristic, complemented
139C2×#14556568C2211yescharacteristic, complemented
140C2×#14556567C2211yescharacteristic
141C2×#14556567C2211yescharacteristic
142C2×#14556565C2211yescharacteristic
143C2×#14556564C2211yescharacteristic
144C2×#14556564C2211yescharacteristic
145C2×#14556564C2211yescharacteristic
146C2×#14556563C2211yescharacteristic
147C2×#14556563C2211yescharacteristic
148C2×#14556563C2211yescharacteristic
149C2×#14556563C2211yescharacteristic
150C2×#14556563C2211yescharacteristic
151C2×#14556563C2211yescharacteristic
152C2×#14556563C2211yescharacteristic, complemented
153C2×#14556562C2211yescharacteristic
154C2×#14556562C2211yescharacteristic
155C2×#14556562C2211yescharacteristic, complemented
156C2×#14556561C2211yescharacteristic
157C2×#14556559C2211yescharacteristic
158C2×#14556559C2211yescharacteristic
159C2×#14556559C2211yescharacteristic
160C2×Q8×Dic73C2211yescharacteristic, complemented
161C2×Q8×Dic73C2211yescharacteristic, complemented
162C2×C4×Dic146C2211yescharacteristic, complemented
163C2×C4×Dic146C2211yescharacteristic, complemented
164C2×#14556556C2211yescharacteristic, complemented
165C2×#14556556C2211yescharacteristic, complemented
166C2×C4×D292C2211yescharacteristic
167C2×D4×Dic73C2211yescharacteristic
168C2×D4×Dic73C2211yescharacteristic
169C2×D4×Dic73C2211yescharacteristic
170C2×D4×Dic73C2211yescharacteristic, complemented
171C2×D4×Dic73C2211yescharacteristic, complemented
172C2×D4×Dic73C2211yescharacteristic, complemented
173C2×#14556553C2211yescharacteristic
174C2×C4×C22⋊D73C2211yescharacteristic
175C2×C4×C22⋊D73C2211yescharacteristic
176C2×C4×C22⋊D73C2211yescharacteristic
177C2×C4×C22⋊D73C2211yescharacteristic
178C2×C4×C22⋊D73C2211yescharacteristic, complemented
179C2×#14556551C2211yescharacteristic
180C2×#14556551C2211yescharacteristic
181C2×#14556551C2211yescharacteristic
182C2×#14556551C2211yescharacteristic, complemented
183C2×#14556551C2211yescharacteristic, complemented
184C2×#14556550C2211yescharacteristic
185C2×#14556549C2211yescharacteristic
186C2×#14556549C2211yescharacteristic
187C2×#14556549C2211yescharacteristic
188C2×#14556549C2211yescharacteristic
189C2×#14556549C2211yescharacteristic, complemented
190C2×#14556549C2211yescharacteristic, complemented
191C2×#14556547C2211yescharacteristic
192C2×#14556547C2211yescharacteristic, complemented
193C2×#14556547C2211yescharacteristic, complemented
194C2×#14556547C2211yescharacteristic, complemented
195C2×#14556547C2211yescharacteristic, complemented
196C22×C4⋊Dic73C2211yescharacteristic, complemented
197C22×C4⋊Dic73C2211yescharacteristic, complemented
198C2×C4⋊C4×D73C2211yescharacteristic, complemented
199C22×#11924005C2211yescharacteristic
200C2×C22⋊C4×D73C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic
202C22×C4×Dic73C2211yescharacteristic, complemented
203#562×C73C22116yescomplemented
204C2×#125×C73C2211yescharacteristic, complemented
205C2×#124×C73C2211yescharacteristic
206C2×#124×C73C2211yescharacteristic, complemented
207C2×#123×C73C2211yescharacteristic
208C2×#123×C73C2211yescharacteristic
209C2×#123×C73C2211yescharacteristic, complemented
210C2×#123×C73C2211yescharacteristic, complemented
211C2×C22⋊Q8×C73C2211yescharacteristic
212C2×C22⋊Q8×C73C2211yescharacteristic, complemented
213C2×C22⋊Q8×C73C2211yescharacteristic, complemented
214C2×C22⋊Q8×C73C2211yescharacteristic, complemented
215C2×#121×C73C2211yescharacteristic
216C2×#121×C73C2211yescharacteristic
217C2×#121×C73C2211yescharacteristic
218C2×#121×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C22×Dic146C2311yescharacteristic
224C22×D292C2311yescharacteristic
225C22×D292C2311yescharacteristic
226C22×C22⋊D73C2311yescharacteristic
227C22×C22⋊D73C2311yescharacteristic
228C22×C22⋊D73C2311yescharacteristic
229C22×C22⋊D73C2311yescharacteristic
230C22×C22⋊D73C2311yescharacteristic
231C22×C22⋊D73C2311yescharacteristic
232C22×C22⋊D73C2311yescharacteristic
233C22×C22⋊D73C2311yescharacteristic
234C22×C22⋊D73C2311yescharacteristic
235C22×C22⋊D73C2311yescharacteristic
236C23×Dic73C2311yescharacteristic
237C23×Dic73C2311yescharacteristic
238C23×Dic73C2311yescharacteristic
239C23×Dic73C2311yescharacteristic
240C23×Dic73C2311yescharacteristic
241C23×Dic73C2311yescharacteristic
242C23×Dic73C2311yescharacteristic
243C22×C4×D73C2311yescharacteristic
244C22×C4×D73C2311yescharacteristic
245C22×C4×D73C2311yescharacteristic
246C22×C4×D73C2311yescharacteristic
247C22×C4×D73C2311yescharacteristic
248C22×C4×D73C2311yescharacteristic
249C22×C4×D73C2311yescharacteristic
250#14556590C2318yescomplemented
251#14556589C2318yescomplemented
252#14556589C2318yescomplemented
253#14556587C2318yes—
254#14556586C2318yes—
255#14556586C2318yes—
256#14556586C2318yes—
257#14556586C2318yes—
258#14556586C2318yes—
259#14556586C2318yes—
260#14556586C2318yes—
261#14556586C2318yes—
262#14556586C2318yescomplemented
263#14556585C2318yes—
264#14556584C2318yes—
265#14556584C2318yes—
266#14556584C2318yes—
267#14556584C2318yes—
268#14556584C2318yes—
269#14556584C2318yescomplemented
270#14556584C2318yescomplemented
271#14556584C2318yescomplemented
272#14556584C2318yescomplemented
273#14556584C2318yescomplemented
274#14556582C2318yescomplemented
275#14556582C2318yescomplemented
276#14556582C2318yescomplemented
277#14556582C2318yescomplemented
278#14556582C2318yescomplemented
279#14556582C2318yescomplemented
280#14556582C2318yescomplemented
281#14556581C2318yescomplemented
282#14556581C2318yescomplemented
283#14556581C2318yescomplemented
284#14556581C2318yescomplemented
285#14556580C2318yes—
286#14556580C2318yes—
287#14556578C2318yes—
288#14556578C2318yes—
289#14556577C2318yes—
290#14556577C2318yes—
291#14556577C2318yes—
292#14556577C2318yes—
293#14556577C2318yescomplemented
294#14556577C2318yescomplemented
295#14556576C2318yes—
296#14556576C2318yes—
297#14556576C2318yes—
298#14556575C2318yes—
299#14556575C2318yes—
300#14556575C2318yes—
301#14556575C2318yes—
302#14556575C2318yes—
303#14556575C2318yes—
304#14556575C2318yescomplemented
305#14556574C2318yes—
306#14556574C2318yes—
307#14556574C2318yescomplemented
308#14556573C2318yes—
309#14556573C2318yes—
310#14556573C2318yes—
311#14556573C2318yes—
312#14556573C2318yescomplemented
313#14556572C2318yes—
314#14556572C2318yescomplemented
315#14556571C2318yes—
316#14556571C2318yescomplemented
317#14556570C2318yes—
318#14556570C2318yescomplemented
319#14556569C2318yes—
320#14556569C2318yes—
321#14556569C2318yes—
322#14556569C2318yescomplemented
323#14556568C2318yes—
324#14556568C2318yescomplemented
325#14556568C2318yescomplemented
326#14556568C2318yescomplemented
327#14556567C2318yes—
328#14556567C2318yes—
329#14556565C2318yes—
330#14556564C2318yes—
331#14556564C2318yes—
332#14556564C2318yes—
333#14556563C2318yes—
334#14556563C2318yes—
335#14556563C2318yes—
336#14556563C2318yes—
337#14556563C2318yes—
338#14556563C2318yes—
339#14556563C2318yescomplemented
340#14556562C2318yes—
341#14556562C2318yes—
342#14556562C2318yescomplemented
343#14556561C2318yes—
344#14556559C2318yes—
345#14556559C2318yes—
346#14556559C2318yes—
347Q8×Dic73C2318yescomplemented
348Q8×Dic73C2318yescomplemented
349C4×Dic146C2318yescomplemented
350C4×Dic146C2318yescomplemented
351#14556556C2318yescomplemented
352#14556556C2318yescomplemented
353C4×D292C2318yes—
354D4×Dic73C2318yes—
355D4×Dic73C2318yes—
356D4×Dic73C2318yes—
357D4×Dic73C2318yescomplemented
358D4×Dic73C2318yescomplemented
359D4×Dic73C2318yescomplemented
360#14556553C2318yes—
361C4×C22⋊D73C2318yes—
362C4×C22⋊D73C2318yes—
363C4×C22⋊D73C2318yes—
364C4×C22⋊D73C2318yes—
365C4×C22⋊D73C2318yescomplemented
366#14556551C2318yes—
367#14556551C2318yes—
368#14556551C2318yes—
369#14556551C2318yescomplemented
370#14556551C2318yescomplemented
371#14556550C2318yes—
372#14556549C2318yes—
373#14556549C2318yes—
374#14556549C2318yes—
375#14556549C2318yes—
376#14556549C2318yescomplemented
377#14556549C2318yescomplemented
378#14556547C2318yes—
379#14556547C2318yescomplemented
380#14556547C2318yescomplemented
381#14556547C2318yescomplemented
382#14556547C2318yescomplemented
383C2×C4⋊Dic73C2311yescharacteristic
384C2×C4⋊Dic73C2311yescharacteristic
385C2×C4⋊Dic73C2311yescharacteristic
386C2×C4⋊Dic73C2311yescharacteristic
387C2×C4⋊Dic73C2311yescharacteristic
388C2×C4⋊Dic73C2311yescharacteristic
389C2×C4⋊Dic73C2311yescharacteristic
390C2×C4⋊Dic73C2311yescharacteristic
391C2×C4⋊Dic73C2311yescharacteristic
392C2×C4⋊Dic73C2311yescharacteristic
393C2×C4⋊Dic73C2311yescharacteristic
394C2×C4⋊Dic73C2311yescharacteristic
395C2×C4⋊Dic73C2311yescharacteristic
396C2×C4⋊Dic73C2311yescharacteristic
397C2×C4⋊Dic73C2311yescharacteristic
398C2×C4⋊Dic73C2311yescharacteristic
399C2×C4⋊Dic73C2318yescomplemented
400C2×C4⋊Dic73C2318yescomplemented
401C2×#11924007C2311yescharacteristic
402C2×#11924007C2311yescharacteristic
403C2×#11924007C2311yescharacteristic
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
423C4⋊C4×D73C2318yescomplemented
424C2×C22⋊Dic73C2311yescharacteristic
425C2×C22⋊Dic73C2311yescharacteristic
426C2×C22⋊Dic73C2311yescharacteristic
427C2×C22⋊Dic73C2311yescharacteristic
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×#11924005C2311yescharacteristic
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
461C22⋊C4×D73C2318yes—
462C22⋊C4×D73C2318yes—
463C2×C4×Dic73C2311yescharacteristic
464C2×C4×Dic73C2311yescharacteristic
465C2×C4×Dic73C2311yescharacteristic
466C2×C4×Dic73C2311yescharacteristic
467C2×C4×Dic73C2311yescharacteristic
468C2×C4×Dic73C2311yescharacteristic
469C2×C4×Dic73C2311yescharacteristic
470C2×C4×Dic73C2311yescharacteristic
471C2×C4×Dic73C2311yescharacteristic
472C2×C4×Dic73C2311yescharacteristic
473C2×C4×Dic73C2311yescharacteristic
474C2×C4×Dic73C2311yescharacteristic
475C2×C4×Dic73C2311yescharacteristic
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C2×C4×Dic73C2318yescomplemented
479C22×Q8×C73C2311yescharacteristic
480C22×Q8×C73C2311yescharacteristic
481C22×D4×C73C2311yescharacteristic
482C22×D4×C73C2311yescharacteristic
483C22×D4×C73C2311yescharacteristic
484C22×D4×C73C2311yescharacteristic
485C22×D4×C73C2311yescharacteristic
486C22×D4×C73C2311yescharacteristic
487C23×C4×C73C2311yescharacteristic
488C23×C4×C73C2311yescharacteristic
489C23×C4×C73C2311yescharacteristic
490C23×C4×C73C2311yescharacteristic
491#125×C73C2318yescomplemented
492#124×C73C2318yes—
493#124×C73C2318yescomplemented
494#123×C73C2318yes—
495#123×C73C2318yes—
496#123×C73C2318yescomplemented
497#123×C73C2318yescomplemented
498C22⋊Q8×C73C2318yes—
499C22⋊Q8×C73C2318yescomplemented
500C22⋊Q8×C73C2318yescomplemented
501C22⋊Q8×C73C2318yescomplemented
502#121×C73C2318yes—
503#121×C73C2318yes—
504#121×C73C2318yes—
505#121×C73C2318yescomplemented
506C2×C4⋊C4×C73C2311yescharacteristic
507C2×C4⋊C4×C73C2311yescharacteristic
508C2×C4⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73C2311yescharacteristic
517C2×C22⋊C4×C73C2311yescharacteristic
518C2×C22⋊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×C42×C73C2311yescharacteristic
529C23×D73—42no—
530C23×D73—42no—
531C23×D73—42no—
532C23×D73C2411yescharacteristic
533C23×D73C2411yescharacteristic
534C23×D73C2411yescharacteristic
535C23×D73C2414yes—
536C2×Dic146—42no—
537C2×Dic146—42no—
538C2×Dic146—42no—
539C2×Dic146—42no—
540C2×Dic146C2414yes—
541C2×Dic146C2414yes—
542C2×Dic146C2414yes—
543C2×Dic146C2414yes—
544C2×D292—42no—
545C2×D292—42no—
546C2×D292C2414yes—
547C2×D292C2414yes—
548C2×C22⋊D73—42no—
549C2×C22⋊D73—42no—
550C2×C22⋊D73—42no—
551C2×C22⋊D73—42no—
552C2×C22⋊D73—42no—
553C2×C22⋊D73—42no—
554C2×C22⋊D73—42no—
555C2×C22⋊D73—42no—
556C2×C22⋊D73—42no—
557C2×C22⋊D73—42no—
558C2×C22⋊D73C2414yes—
559C2×C22⋊D73C2414yes—
560C2×C22⋊D73C2414yes—
561C2×C22⋊D73C2414yes—
562C2×C22⋊D73C2414yes—
563C2×C22⋊D73C2414yes—
564C2×C22⋊D73C2414yes—
565C2×C22⋊D73C2414yes—
566C2×C22⋊D73C2414yes—
567C2×C22⋊D73C2414yes—
568C22×Dic73—42no—
569C22×Dic73—42no—
570C22×Dic73—42no—
571C22×Dic73—42no—
572C22×Dic73—42no—
573C22×Dic73—42no—
574C22×Dic73—42no—
575C22×Dic73C2411yescharacteristic
576C22×Dic73C2411yescharacteristic
577C22×Dic73C2411yescharacteristic
578C22×Dic73C2411yescharacteristic
579C22×Dic73C2411yescharacteristic
580C22×Dic73C2411yescharacteristic
581C22×Dic73C2411yescharacteristic
582C22×Dic73C2411yescharacteristic
583C22×Dic73C2411yescharacteristic
584C22×Dic73C2411yescharacteristic
585C22×Dic73C2411yescharacteristic
586C22×Dic73C2411yescharacteristic
587C22×Dic73C2411yescharacteristic
588C22×Dic73C2414yes—
589C22×Dic73C2414yes—
590C22×Dic73C2414yes—
591C22×Dic73C2414yes—
592C22×Dic73C2414yes—
593C22×Dic73C2414yes—
594C22×Dic73C2414yes—
595C2×C4×D73—42no—
596C2×C4×D73—42no—
597C2×C4×D73—42no—
598C2×C4×D73—42no—
599C2×C4×D73—42no—
600C2×C4×D73—42no—
601C2×C4×D73—42no—
602C2×C4×D73C2414yes—
603C2×C4×D73C2414yes—
604C2×C4×D73C2414yes—
605C2×C4×D73C2414yes—
606C2×C4×D73C2414yes—
607C2×C4×D73C2414yes—
608C2×C4×D73C2414yes—
609C4⋊Dic73C2414yes—
610C4⋊Dic73C2414yes—
611C4⋊Dic73C2414yes—
612C4⋊Dic73C2414yes—
613C4⋊Dic73C2414yes—
614C4⋊Dic73C2414yes—
615C4⋊Dic73C2414yes—
616C4⋊Dic73C2414yes—
617C4⋊Dic73C2414yes—
618C4⋊Dic73C2414yes—
619C4⋊Dic73C2414yes—
620C4⋊Dic73C2414yes—
621C4⋊Dic73C2414yes—
622C4⋊Dic73C2414yes—
623C4⋊Dic73C2414yes—
624C4⋊Dic73C2414yes—
625#11924007C2414yes—
626#11924007C2414yes—
627#11924007C2414yes—
628#11924007C2414yes—
629#11924007C2414yes—
630#11924007C2414yes—
631#11924007C2414yes—
632#11924007C2414yes—
633#11924007C2414yes—
634#11924007C2414yes—
635#11924007C2414yes—
636#11924007C2414yes—
637#11924007C2414yes—
638#11924007C2414yes—
639#11924007C2414yes—
640#11924007C2414yes—
641#11924007C2414yes—
642#11924007C2414yes—
643#11924007C2414yes—
644#11924007C2414yes—
645#11924007C2414yes—
646#11924007C2414yes—
647C22⋊Dic73C2414yes—
648C22⋊Dic73C2414yes—
649C22⋊Dic73C2414yes—
650C22⋊Dic73C2414yes—
651C22⋊Dic73C2414yes—
652C22⋊Dic73C2414yes—
653C22⋊Dic73C2414yes—
654C22⋊Dic73C2414yes—
655C22⋊Dic73C2414yes—
656C22⋊Dic73C2414yes—
657C22⋊Dic73C2414yes—
658C22⋊Dic73C2414yes—
659C22⋊Dic73C2414yes—
660C22⋊Dic73C2414yes—
661#11924005C2414yes—
662#11924005C2414yes—
663#11924005C2414yes—
664#11924005C2414yes—
665#11924005C2414yes—
666#11924005C2414yes—
667#11924005C2414yes—
668#11924005C2414yes—
669#11924005C2414yes—
670#11924005C2414yes—
671#11924005C2414yes—
672#11924005C2414yes—
673#11924005C2414yes—
674#11924005C2414yes—
675#11924005C2414yes—
676#11924005C2414yes—
677#11924005C2414yes—
678#11924005C2414yes—
679#11924005C2414yes—
680#11924005C2414yes—
681#11924005C2414yes—
682#11924005C2414yes—
683C4×Dic73C2414yes—
684C4×Dic73C2414yes—
685C4×Dic73C2414yes—
686C4×Dic73C2414yes—
687C4×Dic73C2414yes—
688C4×Dic73C2414yes—
689C4×Dic73C2414yes—
690C4×Dic73C2414yes—
691C4×Dic73C2414yes—
692C4×Dic73C2414yes—
693C4×Dic73C2414yes—
694C4×Dic73C2414yes—
695C4×Dic73C2414yes—
696C4×Dic73C2414yes—
697C4×Dic73C2414yes—
698C24×C73C2411yescharacteristic
699C24×C73C2411yescharacteristic
700C24×C73C2411yescharacteristic
701C24×C73C2411yescharacteristic
702C2×Q8×C73—42no—
703C2×Q8×C73—42no—
704C2×Q8×C73C2414yes—
705C2×Q8×C73C2414yes—
706C2×D4×C73—42no—
707C2×D4×C73—42no—
708C2×D4×C73—42no—
709C2×D4×C73—42no—
710C2×D4×C73—42no—
711C2×D4×C73—42no—
712C2×D4×C73C2414yes—
713C2×D4×C73C2414yes—
714C2×D4×C73C2414yes—
715C2×D4×C73C2414yes—
716C2×D4×C73C2414yes—
717C2×D4×C73C2414yes—
718C22×C4×C73—42no—
719C22×C4×C73—42no—
720C22×C4×C73—42no—
721C22×C4×C73—42no—
722C22×C4×C73C2411yescharacteristic
723C22×C4×C73C2411yescharacteristic
724C22×C4×C73C2411yescharacteristic
725C22×C4×C73C2411yescharacteristic
726C22×C4×C73C2411yescharacteristic
727C22×C4×C73C2411yescharacteristic
728C22×C4×C73C2411yescharacteristic
729C22×C4×C73C2411yescharacteristic
730C22×C4×C73C2411yescharacteristic
731C22×C4×C73C2411yescharacteristic
732C22×C4×C73C2411yescharacteristic
733C22×C4×C73C2414yes—
734C22×C4×C73C2414yes—
735C22×C4×C73C2414yes—
736C22×C4×C73C2414yes—
737C4⋊C4×C73C2414yes—
738C4⋊C4×C73C2414yes—
739C4⋊C4×C73C2414yes—
740C4⋊C4×C73C2414yes—
741C4⋊C4×C73C2414yes—
742C4⋊C4×C73C2414yes—
743C4⋊C4×C73C2414yes—
744C4⋊C4×C73C2414yes—
745C4⋊C4×C73C2414yes—
746C4⋊C4×C73C2414yes—
747C22⋊C4×C73C2414yes—
748C22⋊C4×C73C2414yes—
749C22⋊C4×C73C2414yes—
750C22⋊C4×C73C2414yes—
751C22⋊C4×C73C2414yes—
752C22⋊C4×C73C2414yes—
753C22⋊C4×C73C2414yes—
754C22⋊C4×C73C2414yes—
755C22⋊C4×C73C2414yes—
756C22⋊C4×C73C2414yes—
757C22⋊C4×C73C2414yes—
758C22⋊C4×C73C2414yes—
759C42×C73C2414yes—
760C23×C73—22no—
761C23×C73—22no—
762C23×C73—22no—
763C23×C73—22no—
764C23×C73—22no—
765C23×C73—22no—
766C23×C73—22no—
767C23×C73—22no—
768C23×C73—22no—
769C23×C73—22no—
770C23×C73—22no—
771C23×C73—22no—
772C23×C73C2512yes—
773C23×C73C2512yes—
774C23×C73C2512yes—
775C23×C73C2512yes—
776C23×C73C2511yescharacteristic
777C22×D73—22no—
778C22×D73—22no—
779C22×D73—22no—
780C22×D73—22no—
781C22×D73—22no—
782C22×D73—22no—
783C22×D73—22no—
784C22×D73—22no—
785C22×D73—22no—
786C22×D73—44no—
787C22×D73—44no—
788C22×D73—44no—
789C22×D73—88no—
790C22×D73C2512yes—
791C22×D73C2512yes—
792C22×D73C2512yes—
793Q8×C73—44no—
794Q8×C73—44no—
795D4×C73—44no—
796D4×C73—44no—
797D4×C73—44no—
798D4×C73—44no—
799D4×C73—44no—
800D4×C73—44no—
801C2×C4×C73—22no—
802C2×C4×C73—22no—
803C2×C4×C73—22no—
804C2×C4×C73—22no—
805C2×C4×C73—22no—
806C2×C4×C73—22no—
807C2×C4×C73—22no—
808C2×C4×C73—22no—
809C2×C4×C73—22no—
810C2×C4×C73—22no—
811C2×C4×C73—22no—
812C2×C4×C73—44no—
813C2×C4×C73—44no—
814C2×C4×C73—44no—
815C2×C4×C73—44no—
816C2×C4×C73C2512yes—
817C2×C4×C73C2512yes—
818C2×C4×C73C2512yes—
819C2×C4×C73C2512yes—
820C2×C4×C73C2512yes—
821C2×C4×C73C2512yes—
822C2×C4×C73C2512yes—
823C2×C4×C73C2512yes—
824C2×C4×C73C2512yes—
825C2×C4×C73C2512yes—
826C2×C4×C73C2512yes—
827C22⋊D73—44no—
828C22⋊D73—44no—
829C22⋊D73—44no—
830C22⋊D73—44no—
831C22⋊D73—44no—
832C22⋊D73—44no—
833C22⋊D73—44no—
834C22⋊D73—44no—
835C22⋊D73—44no—
836C22⋊D73—44no—
837C2×Dic73—22no—
838C2×Dic73—22no—
839C2×Dic73—22no—
840C2×Dic73—22no—
841C2×Dic73—22no—
842C2×Dic73—22no—
843C2×Dic73—22no—
844C2×Dic73—22no—
845C2×Dic73—22no—
846C2×Dic73—22no—
847C2×Dic73—22no—
848C2×Dic73—22no—
849C2×Dic73—22no—
850C2×Dic73—44no—
851C2×Dic73—44no—
852C2×Dic73—44no—
853C2×Dic73—44no—
854C2×Dic73—44no—
855C2×Dic73—44no—
856C2×Dic73—44no—
857C2×Dic73C2512yes—
858C2×Dic73C2512yes—
859C2×Dic73C2512yes—
860C2×Dic73C2512yes—
861C2×Dic73C2512yes—
862C2×Dic73C2512yes—
863C2×Dic73C2512yes—
864C2×Dic73C2512yes—
865C2×Dic73C2512yes—
866C2×Dic73C2512yes—
867C2×Dic73C2512yes—
868C2×Dic73C2512yes—
869C2×Dic73C2512yes—
870D292—44no—
871D292—44no—
872C4×D73—44no—
873C4×D73—44no—
874C4×D73—44no—
875C4×D73—44no—
876C4×D73—44no—
877C4×D73—44no—
878C4×D73—44no—
879Dic146—44no—
880Dic146—44no—
881Dic146—44no—
882Dic146—44no—
883C22×C73—22no—
884C22×C73—22no—
885C22×C73—22no—
886C22×C73—22no—
887C22×C73—22no—
888C22×C73—22no—
889C22×C73—22no—
890C22×C73—22no—
891C22×C73—22no—
892C22×C73—22no—
893C22×C73—22no—
894C22×C73—22no—
895C22×C73—44no—
896C22×C73—44no—
897C22×C73—44no—
898C22×C73—44no—
899C22×C73#58512yes—
900C22×C73#58512yes—
901C22×C73#58512yes—
902C22×C73C2611yescharacteristic
903C2×D73—22no—
904C2×D73—22no—
905C2×D73—22no—
906C2×D73—22no—
907C2×D73—22no—
908C2×D73—22no—
909C2×D73—22no—
910C2×D73—22no—
911C2×D73—22no—
912C2×D73—44no—
913C2×D73—44no—
914C2×D73—44no—
915C2×D73—88no—
916C4×C73—22no—
917C4×C73—22no—
918C4×C73—22no—
919C4×C73—22no—
920C4×C73—22no—
921C4×C73—22no—
922C4×C73—22no—
923C4×C73—22no—
924C4×C73—22no—
925C4×C73—22no—
926C4×C73—22no—
927Dic73—22no—
928Dic73—22no—
929Dic73—22no—
930Dic73—22no—
931Dic73—22no—
932Dic73—22no—
933Dic73—22no—
934Dic73—22no—
935Dic73—22no—
936Dic73—22no—
937Dic73—22no—
938Dic73—22no—
939Dic73—22no—
940C2×#3566—731nomaximal, Sylow
941C2×C73—42no—
942C2×C73—42no—
943C2×C73—42no—
944C2×C73—42no—
945C2×C73#356614yescomplemented
946C2×C73C2×#58511yescharacteristic
947C2×C73C2×#58511yescharacteristic
948C2×C73C2×#58511yescharacteristic
949D73—42no—
950D73—42no—
951D73—42no—
952#3566—7332no—
953C2×#563—731no—
954C2×#562—731no—
955C2×#562D7311yescharacteristic, complemented
956C2×#560—731no—
957C2×#559—731no—
958C2×#556—731no—
959C2×#555—731no—
960C2×#553—731no—
961C2×#553—731no—
962C2×#553—731no—
963C2×#552—731no—
964C2×#552—731no—
965C2×#552—731no—
966C2×#551—731no—
967C2×#551—731no—
968C2×#551—731no—
969C2×#542—731no—
970C2×#542—731no—
971C2×#542—731no—
972C2×#541—731no—
973C2×#541—731no—
974C2×#540—731no—
975C2×#539—731no—
976C2×#539—731no—
977C2×#539—731no—
978C2×#538—731no—
979C2×#538—731no—
980C2×#538—731no—
981C2×#529—731no—
982C2×#529—731no—
983C2×#529—731no—
984C73C2×#356611yescharacteristic, complemented, Sylow
985#563—7316no—
986#562—7316no—
987#562C2×D73116yescomplemented
988#560—7316no—
989#559—7316no—
990#556—7316no—
991#555—7316no—
992#553—7316no—
993#553—7316no—
994#553—7316no—
995#552—7316no—
996#552—7316no—
997#552—7316no—
998#551—7316no—
999#551—7316no—
1000#551—7316no—
1001#542—7316no—
1002#542—7316no—
1003#542—7316no—
1004#541—7316no—
1005#541—7316no—
1006#540—7316no—
1007#539—7316no—
1008#539—7316no—
1009#539—7316no—
1010#538—7316no—
1011#538—7316no—
1012#538—7316no—
1013C2×C4⋊Q8—731no—
1014C2×C4⋊Q8—731no—
1015C2×C4⋊Q8—731no—
1016C2×#127—731no—
1017#529—7316no—
1018#529—7316no—
1019#529—7316no—
1020C2×#126—731no—
1021C2×#126—731no—
1022C2×#126—731no—
1023C2×#126—731no—
1024C2×#126—731no—
1025C2×#126—731no—
1026C2×#126—731no—
1027C2×#126—731no—
1028C2×#126—731no—
1029C2×#126—731no—
1030C2×#126—731no—
1031C2×#126—731no—
1032C2×#126—731no—
1033C2×#126—731no—
1034C2×#126—731no—
1035C2×#126—731no—
1036C2×#126—731no—
1037C2×#126—731no—
1038C2×#126—731no—
1039C2×#126—731no—
1040C2×#125—731no—
1041C2×#125—731no—
1042C2×#125—731no—
1043C2×#125—731no—
1044C2×#125—731no—
1045C2×#125—731no—
1046C2×#125—731no—
1047C2×#125—731no—
1048C2×#125—731no—
1049C2×#125—731no—
1050C2×#125—731no—
1051C2×#125C2×D7311yescharacteristic, complemented
1052C2×#124—731no—
1053C2×#124—731no—
1054C2×#124—731no—
1055C2×#124—731no—
1056C2×#124—731no—
1057C2×#124—731no—
1058C2×#124—731no—
1059C2×#124—731no—
1060C2×#124—731no—
1061C2×#124—731no—
1062C2×#124C2×D7311yescharacteristic
1063C2×#124C2×D7311yescharacteristic, complemented
1064C2×#123—731no—
1065C2×#123—731no—
1066C2×#123—731no—
1067C2×#123—731no—
1068C2×#123—731no—
1069C2×#123—731no—
1070C2×#123—731no—
1071C2×#123—731no—
1072C2×#123—731no—
1073C2×#123—731no—
1074C2×#123—731no—
1075C2×#123—731no—
1076C2×#123—731no—
1077C2×#123—731no—
1078C2×#123—731no—
1079C2×#123—731no—
1080C2×#123—731no—
1081C2×#123—731no—
1082C2×#123—731no—
1083C2×#123—731no—
1084C2×#123C2×D7311yescharacteristic
1085C2×#123C2×D7311yescharacteristic
1086C2×#123C2×D7311yescharacteristic, complemented
1087C2×#123C2×D7311yescharacteristic, complemented
1088C2×C22⋊Q8—731no—
1089C2×C22⋊Q8—731no—
1090C2×C22⋊Q8—731no—
1091C2×C22⋊Q8—731no—
1092C2×C22⋊Q8—731no—
1093C2×C22⋊Q8—731no—
1094C2×C22⋊Q8—731no—
1095C2×C22⋊Q8—731no—
1096C2×C22⋊Q8—731no—
1097C2×C22⋊Q8—731no—
1098C2×C22⋊Q8—731no—
1099C2×C22⋊Q8—731no—
1100C2×C22⋊Q8—731no—
1101C2×C22⋊Q8—731no—
1102C2×C22⋊Q8C2×D7311yescharacteristic
1103C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1104C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1105C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1106C2×#121—731no—
1107C2×#121—731no—
1108C2×#121—731no—
1109C2×#121—731no—
1110C2×#121—731no—
1111C2×#121—731no—
1112C2×#121—731no—
1113C2×#121—731no—
1114C2×#121—731no—
1115C2×#121—731no—
1116C2×#121—731no—
1117C2×#121—731no—
1118C2×#121—731no—
1119C2×#121—731no—
1120C2×#121C2×D7311yescharacteristic
1121C2×#121C2×D7311yescharacteristic
1122C2×#121C2×D7311yescharacteristic
1123C2×#121C2×D7311yescharacteristic, complemented
1124C2×#120—731no—
1125C2×#120—731no—
1126C2×#120—731no—
1127C2×#120—731no—
1128C2×C4×Q8—731no—
1129C2×C4×Q8—731no—
1130C2×C4×Q8—731no—
1131C2×C4×Q8—731no—
1132C2×C4×Q8—731no—
1133C2×C4×Q8—731no—
1134C2×C4×D4—731no—
1135C2×C4×D4—731no—
1136C2×C4×D4—731no—
1137C2×C4×D4—731no—
1138C2×C4×D4—731no—
1139C2×C4×D4—731no—
1140C2×C4×D4—731no—
1141C2×C4×D4—731no—
1142C2×C4×D4—731no—
1143C2×C4×D4—731no—
1144C2×C4×D4—731no—
1145C2×C4×D4—731no—
1146C2×C4×D4—731no—
1147C2×C4×D4—731no—
1148C2×C4×D4—731no—
1149C2×C4×D4—731no—
1150C2×C4×D4—731no—
1151C2×C4×D4—731no—
1152C2×#117—731no—
1153C2×#117—731no—
1154C2×#117—731no—
1155C2×#117—731no—
1156C2×#117—731no—
1157C2×#117—731no—
1158C2×#117—731no—
1159C2×#117—731no—
1160C2×#117—731no—
1161C2×#117—731no—
1162C2×#117—731no—
1163C2×#117—731no—
1164C22×C4⋊C4—731no—
1165C22×C4⋊C4—731no—
1166C22×C4⋊C4—731no—
1167C22×C22⋊C4—731no—
1168C22×C22⋊C4—731no—
1169C22×C22⋊C4—731no—
1170C22×C42—731no—
1171C25—731no—
1172C22×Q8—731no—
1173C22×Q8—731no—
1174C22×Q8—731no—
1175C22×Q8—731no—
1176C22×Q8C22×D7311yescharacteristic
1177C22×Q8C22×D7311yescharacteristic
1178C22×D4—731no—
1179C22×D4—731no—
1180C22×D4—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—731no—
1184C22×D4—731no—
1185C22×D4—731no—
1186C22×D4—731no—
1187C22×D4—731no—
1188C22×D4—731no—
1189C22×D4—731no—
1190C22×D4C22×D7311yescharacteristic
1191C22×D4C22×D7311yescharacteristic
1192C22×D4C22×D7311yescharacteristic
1193C22×D4C22×D7311yescharacteristic
1194C22×D4C22×D7311yescharacteristic
1195C22×D4C22×D7311yescharacteristic
1196C23×C4—731no—
1197C23×C4—731no—
1198C23×C4—731no—
1199C23×C4—731no—
1200C23×C4—731no—
1201C23×C4—731no—
1202C23×C4—731no—
1203C23×C4—731no—
1204C23×C4—731no—
1205C23×C4—731no—
1206C23×C4—731no—
1207C23×C4—731no—
1208C23×C4—731no—
1209C23×C4—731no—
1210C23×C4C22×D7311yescharacteristic
1211C23×C4C22×D7311yescharacteristic
1212C23×C4C22×D7311yescharacteristic
1213C23×C4C22×D7311yescharacteristic
1214C4⋊Q8—738no—
1215C4⋊Q8—738no—
1216C4⋊Q8—738no—
1217#127—738no—
1218#126—738no—
1219#126—738no—
1220#126—738no—
1221#126—738no—
1222#126—738no—
1223#126—738no—
1224#126—738no—
1225#126—738no—
1226#126—738no—
1227#126—738no—
1228#126—738no—
1229#126—738no—
1230#126—738no—
1231#126—738no—
1232#126—738no—
1233#126—738no—
1234#126—738no—
1235#126—738no—
1236#126—738no—
1237#126—738no—
1238#125—738no—
1239#125—738no—
1240#125—738no—
1241#125—738no—
1242#125—738no—
1243#125—738no—
1244#125—738no—
1245#125—738no—
1246#125—738no—
1247#125—738no—
1248#125—738no—
1249#125C22×D7318yescomplemented
1250#124—738no—
1251#124—738no—
1252#124—738no—
1253#124—738no—
1254#124—738no—
1255#124—738no—
1256#124—738no—
1257#124—738no—
1258#124—738no—
1259#124—738no—
1260#124C22×D7318yes—
1261#124C22×D7318yescomplemented
1262#123—738no—
1263#123—738no—
1264#123—738no—
1265#123—738no—
1266#123—738no—
1267#123—738no—
1268#123—738no—
1269#123—738no—
1270#123—738no—
1271#123—738no—
1272#123—738no—
1273#123—738no—
1274#123—738no—
1275#123—738no—
1276#123—738no—
1277#123—738no—
1278#123—738no—
1279#123—738no—
1280#123—738no—
1281#123—738no—
1282#123C22×D7318yes—
1283#123C22×D7318yes—
1284#123C22×D7318yescomplemented
1285#123C22×D7318yescomplemented
1286C22⋊Q8—738no—
1287C22⋊Q8—738no—
1288C22⋊Q8—738no—
1289C22⋊Q8—738no—
1290C22⋊Q8—738no—
1291C22⋊Q8—738no—
1292C22⋊Q8—738no—
1293C22⋊Q8—738no—
1294C22⋊Q8—738no—
1295C22⋊Q8—738no—
1296C22⋊Q8—738no—
1297C22⋊Q8—738no—
1298C22⋊Q8—738no—
1299C22⋊Q8—738no—
1300C22⋊Q8C22×D7318yes—
1301C22⋊Q8C22×D7318yescomplemented
1302C22⋊Q8C22×D7318yescomplemented
1303C22⋊Q8C22×D7318yescomplemented
1304#121—738no—
1305#121—738no—
1306#121—738no—
1307#121—738no—
1308#121—738no—
1309#121—738no—
1310#121—738no—
1311#121—738no—
1312#121—738no—
1313#121—738no—
1314#121—738no—
1315#121—738no—
1316#121—738no—
1317#121—738no—
1318#121C22×D7318yes—
1319#121C22×D7318yes—
1320#121C22×D7318yes—
1321#121C22×D7318yescomplemented
1322#120—738no—
1323#120—738no—
1324#120—738no—
1325#120—738no—
1326C4×Q8—738no—
1327C4×Q8—738no—
1328C4×Q8—738no—
1329C4×Q8—738no—
1330C4×Q8—738no—
1331C4×Q8—738no—
1332C4×D4—738no—
1333C4×D4—738no—
1334C4×D4—738no—
1335C4×D4—738no—
1336C4×D4—738no—
1337C4×D4—738no—
1338C4×D4—738no—
1339C4×D4—738no—
1340C4×D4—738no—
1341C4×D4—738no—
1342C4×D4—738no—
1343C4×D4—738no—
1344C4×D4—738no—
1345C4×D4—738no—
1346C4×D4—738no—
1347C4×D4—738no—
1348C4×D4—738no—
1349C4×D4—738no—
1350#117—738no—
1351#117—738no—
1352#117—738no—
1353#117—738no—
1354#117—738no—
1355#117—738no—
1356#117—738no—
1357#117—738no—
1358#117—738no—
1359#117—738no—
1360#117—738no—
1361#117—738no—
1362C2×C4⋊C4—731no—
1363C2×C4⋊C4—731no—
1364C2×C4⋊C4—731no—
1365C2×C4⋊C4—731no—
1366C2×C4⋊C4—731no—
1367C2×C4⋊C4—731no—
1368C2×C4⋊C4—731no—
1369C2×C4⋊C4—731no—
1370C2×C4⋊C4—731no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—738no—
1374C2×C4⋊C4—738no—
1375C2×C4⋊C4—731no—
1376C2×C4⋊C4—731no—
1377C2×C4⋊C4—731no—
1378C2×C4⋊C4—731no—
1379C2×C4⋊C4—731no—
1380C2×C4⋊C4—731no—
1381C2×C4⋊C4—731no—
1382C2×C4⋊C4—731no—
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4—731no—
1385C2×C4⋊C4—731no—
1386C2×C4⋊C4—731no—
1387C2×C4⋊C4—731no—
1388C2×C4⋊C4—731no—
1389C2×C4⋊C4—731no—
1390C2×C4⋊C4—731no—
1391C2×C4⋊C4—731no—
1392C2×C4⋊C4—731no—
1393C2×C4⋊C4—731no—
1394C2×C4⋊C4—731no—
1395C2×C4⋊C4—731no—
1396C2×C4⋊C4—731no—
1397C2×C4⋊C4—731no—
1398C2×C4⋊C4—731no—
1399C2×C4⋊C4—731no—
1400C2×C4⋊C4—731no—
1401C2×C4⋊C4—731no—
1402C2×C4⋊C4—738no—
1403C2×C4⋊C4C22×D7311yescharacteristic
1404C2×C4⋊C4C22×D7311yescharacteristic
1405C2×C4⋊C4C22×D7311yescharacteristic
1406C2×C4⋊C4C22×D7311yescharacteristic
1407C2×C4⋊C4C22×D7311yescharacteristic
1408C2×C4⋊C4C22×D7311yescharacteristic
1409C2×C4⋊C4C22×D7311yescharacteristic
1410C2×C4⋊C4C22×D7311yescharacteristic
1411C2×C4⋊C4C22×D7311yescharacteristic
1412C2×C4⋊C4C22×D7311yescharacteristic
1413C2×C22⋊C4—731no—
1414C2×C22⋊C4—731no—
1415C2×C22⋊C4—731no—
1416C2×C22⋊C4—731no—
1417C2×C22⋊C4—731no—
1418C2×C22⋊C4—731no—
1419C2×C22⋊C4—731no—
1420C2×C22⋊C4—731no—
1421C2×C22⋊C4—731no—
1422C2×C22⋊C4—731no—
1423C2×C22⋊C4—731no—
1424C2×C22⋊C4—731no—
1425C2×C22⋊C4—731no—
1426C2×C22⋊C4—731no—
1427C2×C22⋊C4—731no—
1428C2×C22⋊C4—731no—
1429C2×C22⋊C4—731no—
1430C2×C22⋊C4—731no—
1431C2×C22⋊C4—731no—
1432C2×C22⋊C4—731no—
1433C2×C22⋊C4—731no—
1434C2×C22⋊C4—731no—
1435C2×C22⋊C4—738no—
1436C2×C22⋊C4—731no—
1437C2×C22⋊C4—731no—
1438C2×C22⋊C4—731no—
1439C2×C22⋊C4—731no—
1440C2×C22⋊C4—731no—
1441C2×C22⋊C4—731no—
1442C2×C22⋊C4—731no—
1443C2×C22⋊C4—731no—
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—738no—
1451C2×C22⋊C4—738no—
1452C2×C22⋊C4C22×D7311yescharacteristic
1453C2×C22⋊C4C22×D7311yescharacteristic
1454C2×C22⋊C4C22×D7311yescharacteristic
1455C2×C22⋊C4C22×D7311yescharacteristic
1456C2×C22⋊C4C22×D7311yescharacteristic
1457C2×C22⋊C4C22×D7311yescharacteristic
1458C2×C22⋊C4C22×D7311yescharacteristic
1459C2×C22⋊C4C22×D7311yescharacteristic
1460C2×C22⋊C4C22×D7311yescharacteristic
1461C2×C22⋊C4C22×D7311yescharacteristic
1462C2×C22⋊C4C22×D7311yescharacteristic
1463C2×C22⋊C4C22×D7311yescharacteristic
1464C2×C42—731no—
1465C2×C42—731no—
1466C2×C42—731no—
1467C2×C42—731no—
1468C2×C42—731no—
1469C2×C42—731no—
1470C2×C42—731no—
1471C2×C42—731no—
1472C2×C42—731no—
1473C2×C42—731no—
1474C2×C42—731no—
1475C2×C42—731no—
1476C2×C42—731no—
1477C2×C42—731no—
1478C2×C42—731no—
1479C2×C42—738no—
1480C2×C42C22×D7311yescharacteristic
1481C24—2922no—
1482C24—2922no—
1483C24—2922no—
1484C24—734no—
1485C24—731no—
1486C24—731no—
1487C24—731no—
1488C24C23×D7311yescharacteristic
1489C24C23×D7311yescharacteristic
1490C24C23×D7311yescharacteristic
1491C24C23×D7311yescharacteristic
1492C2×Q8—42no—
1493C2×Q8—42no—
1494C2×Q8—2922no—
1495C2×Q8—2922no—
1496C2×Q8—2922no—
1497C2×Q8—2922no—
1498C2×Q8—734no—
1499C2×Q8—734no—
1500C2×Q8—734no—
1501C2×Q8—734no—
1502C2×Q8C23×D7314yes—
1503C2×Q8C23×D7314yes—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—42no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—42no—
1510C2×D4—2922no—
1511C2×D4—2922no—
1512C2×D4—2922no—
1513C2×D4—2922no—
1514C2×D4—2922no—
1515C2×D4—2922no—
1516C2×D4—2922no—
1517C2×D4—2922no—
1518C2×D4—2922no—
1519C2×D4—2922no—
1520C2×D4—2922no—
1521C2×D4—2922no—
1522C2×D4—734no—
1523C2×D4—734no—
1524C2×D4—734no—
1525C2×D4—734no—
1526C2×D4—734no—
1527C2×D4—734no—
1528C2×D4—734no—
1529C2×D4—734no—
1530C2×D4—734no—
1531C2×D4—734no—
1532C2×D4—734no—
1533C2×D4—734no—
1534C2×D4C23×D7314yes—
1535C2×D4C23×D7314yes—
1536C2×D4C23×D7314yes—
1537C2×D4C23×D7314yes—
1538C2×D4C23×D7314yes—
1539C2×D4C23×D7314yes—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—2922no—
1545C22×C4—2922no—
1546C22×C4—2922no—
1547C22×C4—2922no—
1548C22×C4—2922no—
1549C22×C4—2922no—
1550C22×C4—2922no—
1551C22×C4—2922no—
1552C22×C4—2922no—
1553C22×C4—2922no—
1554C22×C4—2922no—
1555C22×C4—2922no—
1556C22×C4—2922no—
1557C22×C4—2922no—
1558C22×C4—734no—
1559C22×C4—734no—
1560C22×C4—734no—
1561C22×C4—734no—
1562C22×C4—734no—
1563C22×C4—734no—
1564C22×C4—734no—
1565C22×C4—734no—
1566C22×C4—734no—
1567C22×C4—734no—
1568C22×C4—734no—
1569C22×C4—734no—
1570C22×C4—734no—
1571C22×C4—734no—
1572C22×C4—731no—
1573C22×C4—731no—
1574C22×C4—731no—
1575C22×C4—731no—
1576C22×C4—731no—
1577C22×C4—731no—
1578C22×C4—731no—
1579C22×C4—731no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—731no—
1585C22×C4C23×D7311yescharacteristic
1586C22×C4C23×D7311yescharacteristic
1587C22×C4C23×D7311yescharacteristic
1588C22×C4C23×D7311yescharacteristic
1589C22×C4C23×D7311yescharacteristic
1590C22×C4C23×D7311yescharacteristic
1591C22×C4C23×D7311yescharacteristic
1592C22×C4C23×D7311yescharacteristic
1593C22×C4C23×D7311yescharacteristic
1594C22×C4C23×D7311yescharacteristic
1595C22×C4C23×D7311yescharacteristic
1596C22×C4C23×D7314yes—
1597C22×C4C23×D7314yes—
1598C22×C4C23×D7314yes—
1599C22×C4C23×D7314yes—
1600C4⋊C4—734no—
1601C4⋊C4—734no—
1602C4⋊C4—734no—
1603C4⋊C4—734no—
1604C4⋊C4—734no—
1605C4⋊C4—734no—
1606C4⋊C4—734no—
1607C4⋊C4—734no—
1608C4⋊C4—734no—
1609C4⋊C4—734no—
1610C4⋊C4—734no—
1611C4⋊C4—734no—
1612C4⋊C4—734no—
1613C4⋊C4—734no—
1614C4⋊C4—734no—
1615C4⋊C4—734no—
1616C4⋊C4—734no—
1617C4⋊C4—734no—
1618C4⋊C4—734no—
1619C4⋊C4—734no—
1620C4⋊C4—734no—
1621C4⋊C4—734no—
1622C4⋊C4—734no—
1623C4⋊C4—734no—
1624C4⋊C4—734no—
1625C4⋊C4—734no—
1626C4⋊C4—734no—
1627C4⋊C4—734no—
1628C4⋊C4—734no—
1629C4⋊C4—734no—
1630C4⋊C4—734no—
1631C4⋊C4—734no—
1632C4⋊C4—734no—
1633C4⋊C4—734no—
1634C4⋊C4—734no—
1635C4⋊C4—734no—
1636C4⋊C4—734no—
1637C4⋊C4—734no—
1638C4⋊C4C23×D7314yes—
1639C4⋊C4C23×D7314yes—
1640C4⋊C4C23×D7314yes—
1641C4⋊C4C23×D7314yes—
1642C4⋊C4C23×D7314yes—
1643C4⋊C4C23×D7314yes—
1644C4⋊C4C23×D7314yes—
1645C4⋊C4C23×D7314yes—
1646C4⋊C4C23×D7314yes—
1647C4⋊C4C23×D7314yes—
1648C22⋊C4—734no—
1649C22⋊C4—734no—
1650C22⋊C4—734no—
1651C22⋊C4—734no—
1652C22⋊C4—734no—
1653C22⋊C4—734no—
1654C22⋊C4—734no—
1655C22⋊C4—734no—
1656C22⋊C4—734no—
1657C22⋊C4—734no—
1658C22⋊C4—734no—
1659C22⋊C4—734no—
1660C22⋊C4—734no—
1661C22⋊C4—734no—
1662C22⋊C4—734no—
1663C22⋊C4—734no—
1664C22⋊C4—734no—
1665C22⋊C4—734no—
1666C22⋊C4—734no—
1667C22⋊C4—734no—
1668C22⋊C4—734no—
1669C22⋊C4—734no—
1670C22⋊C4—734no—
1671C22⋊C4—734no—
1672C22⋊C4—734no—
1673C22⋊C4—734no—
1674C22⋊C4—734no—
1675C22⋊C4—734no—
1676C22⋊C4—734no—
1677C22⋊C4—734no—
1678C22⋊C4—734no—
1679C22⋊C4—734no—
1680C22⋊C4—734no—
1681C22⋊C4—734no—
1682C22⋊C4—734no—
1683C22⋊C4—734no—
1684C22⋊C4C23×D7314yes—
1685C22⋊C4C23×D7314yes—
1686C22⋊C4C23×D7314yes—
1687C22⋊C4C23×D7314yes—
1688C22⋊C4C23×D7314yes—
1689C22⋊C4C23×D7314yes—
1690C22⋊C4C23×D7314yes—
1691C22⋊C4C23×D7314yes—
1692C22⋊C4C23×D7314yes—
1693C22⋊C4C23×D7314yes—
1694C22⋊C4C23×D7314yes—
1695C22⋊C4C23×D7314yes—
1696C42—734no—
1697C42—734no—
1698C42—734no—
1699C42—734no—
1700C42—734no—
1701C42—734no—
1702C42—734no—
1703C42—734no—
1704C42—734no—
1705C42—734no—
1706C42—734no—
1707C42—734no—
1708C42—734no—
1709C42—734no—
1710C42—734no—
1711C42C23×D7314yes—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—2924no—
1725C23—2924no—
1726C23—2924no—
1727C23—5848no—
1728C23—732no—
1729C23—732no—
1730C23—732no—
1731C23—1462no—
1732C23—1462no—
1733C23—1462no—
1734C23—1462no—
1735C23—1462no—
1736C23—1462no—
1737C23—1462no—
1738C23—1462no—
1739C23—1462no—
1740C23C24×D7312yes—
1741C23C24×D7312yes—
1742C23C24×D7312yes—
1743C23C24×D7312yes—
1744C23C24×D7311yescharacteristic
1745Q8—44no—
1746Q8—44no—
1747Q8—2924no—
1748Q8—2924no—
1749Q8—2924no—
1750Q8—2924no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—44no—
1757D4—2924no—
1758D4—2924no—
1759D4—2924no—
1760D4—2924no—
1761D4—2924no—
1762D4—2924no—
1763D4—2924no—
1764D4—2924no—
1765D4—2924no—
1766D4—2924no—
1767D4—2924no—
1768D4—2924no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—2924no—
1785C2×C4—2924no—
1786C2×C4—2924no—
1787C2×C4—2924no—
1788C2×C4—2924no—
1789C2×C4—2924no—
1790C2×C4—2924no—
1791C2×C4—2924no—
1792C2×C4—2924no—
1793C2×C4—2924no—
1794C2×C4—2924no—
1795C2×C4—2924no—
1796C2×C4—2924no—
1797C2×C4—2924no—
1798C2×C4—732no—
1799C2×C4—732no—
1800C2×C4—732no—
1801C2×C4—732no—
1802C2×C4—732no—
1803C2×C4—732no—
1804C2×C4—732no—
1805C2×C4—732no—
1806C2×C4—732no—
1807C2×C4—732no—
1808C2×C4—732no—
1809C2×C4—732no—
1810C2×C4—732no—
1811C2×C4—1462no—
1812C2×C4—1462no—
1813C2×C4—1462no—
1814C2×C4—1462no—
1815C2×C4—1462no—
1816C2×C4—1462no—
1817C2×C4—1462no—
1818C2×C4—1462no—
1819C2×C4—1462no—
1820C2×C4—1462no—
1821C2×C4—1462no—
1822C2×C4—1462no—
1823C2×C4—1462no—
1824C2×C4C24×D7312yes—
1825C2×C4C24×D7312yes—
1826C2×C4C24×D7312yes—
1827C2×C4C24×D7312yes—
1828C2×C4C24×D7312yes—
1829C2×C4C24×D7312yes—
1830C2×C4C24×D7312yes—
1831C2×C4C24×D7312yes—
1832C2×C4C24×D7312yes—
1833C2×C4C24×D7312yes—
1834C2×C4C24×D7312yes—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—44no—
1848C22—44no—
1849C22—44no—
1850C22—44no—
1851C22—2924no—
1852C22—2924no—
1853C22—2924no—
1854C22—5848no—
1855C22—1462no—
1856C22—1462no—
1857C22—1462no—
1858C22—1462no—
1859C22—1462no—
1860C22—1462no—
1861C22—1462no—
1862C22—1462no—
1863C22—1462no—
1864C22#1798942212yes—
1865C22#1798942212yes—
1866C22#1798942412yes—
1867C22C25×D7311yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—1462no—
1880C4—1462no—
1881C4—1462no—
1882C4—1462no—
1883C4—1462no—
1884C4—1462no—
1885C4—1462no—
1886C4—1462no—
1887C4—1462no—
1888C4—1462no—
1889C4—1462no—
1890C4—1462no—
1891C4—1462no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—42no—
1896C2—2922no—
1897C2—2922no—
1898C2—2922no—
1899C2#2262459614yesdirect product factor
1900C2C2×#1798942211yescharacteristic
1901C2C2×#1798942211yescharacteristic
1902C2C2×#1798942411yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#562×C73C2
socleC23×C73C25
hypercenterC2×#562D73
hypocenterC73C2×#3566
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #22624596C2direct (N × H)
2. C2×#17989338C2semidirect
3. C2×#17989334C2semidirect
4. C2×#17989325C2semidirect
5. C2×#17989319C2semidirect
6. C2×#17989306C2semidirect
7. C2×#17989301C2semidirect
8. C2×#17989289C2semidirect
9. C2×#17989289C2semidirect
10. C2×#17989282C2semidirect
11. C2×#17989279C2semidirect
12. C2×#17989279C2semidirect
13. C2×#17989275C2semidirect
14. C2×#17989265C2semidirect
15. C2×#17989264C2semidirect
16. C2×#17989260C2semidirect
17. C2×#17989207C2semidirect
18. C2×#17989207C2semidirect
19. C2×#17989201C2semidirect
20. C2×#17989197C2semidirect
21. C2×#17989196C2semidirect
22. C2×#17989187C2semidirect
23. C2×#17989181C2semidirect
24. C2×#17989181C2semidirect
25. C2×#17989180C2semidirect
26. C2×#17989174C2semidirect
27. C2×#17989171C2semidirect
28. C2×#17989169C2semidirect
29. C2×#17989123C2semidirect
30. C2×#17989118C2semidirect
31. C2×#17989114C2semidirect
32. C2×#562×C73C2semidirect
33. #17989338C22semidirect
34. #17989334C22semidirect
35. #17989325C22semidirect
36. #17989319C22semidirect
37. #17989306C22semidirect
38. #17989301C22semidirect
39. #17989289C22semidirect
40. #17989289C22semidirect
41. #17989282C22semidirect
42. #17989279C22semidirect
43. #17989279C22semidirect
44. #17989275C22semidirect
45. #17989265C22semidirect
46. #17989264C22semidirect
47. #17989260C22semidirect
48. #17989207C22semidirect
49. #17989207C22semidirect
50. #17989201C22semidirect
51. #17989197C22semidirect
52. #17989196C22semidirect
53. #17989187C22semidirect
54. #17989181C22semidirect
55. #17989181C22semidirect
56. #17989180C22semidirect
57. #17989174C22semidirect
58. #17989171C22semidirect
59. #17989169C22semidirect
60. C2×#14556590C22semidirect
61. C2×#14556589C22semidirect
62. C2×#14556589C22semidirect
64. #17989123C22semidirect
65. #17989118C22semidirect
66. #17989114C22semidirect
75. C2×#14556586C22semidirect
82. C2×#14556584C22semidirect
83. C2×#14556584C22semidirect
84. C2×#14556584C22semidirect
85. C2×#14556584C22semidirect
86. C2×#14556584C22semidirect
87. C2×#14556582C22semidirect
88. C2×#14556582C22semidirect
89. C2×#14556582C22semidirect
90. C2×#14556582C22semidirect
91. C2×#14556582C22semidirect
92. C2×#14556582C22semidirect
93. C2×#14556582C22semidirect
94. C2×#14556581C22semidirect
95. C2×#14556581C22semidirect
96. C2×#14556581C22semidirect
97. C2×#14556581C22semidirect
106. C2×#14556577C22semidirect
107. C2×#14556577C22semidirect
117. C2×#14556575C22semidirect
120. C2×#14556574C22semidirect
125. C2×#14556573C22semidirect
127. C2×#14556572C22semidirect
129. C2×#14556571C22semidirect
131. C2×#14556570C22semidirect
135. C2×#14556569C22semidirect
137. C2×#14556568C22semidirect
138. C2×#14556568C22semidirect
139. C2×#14556568C22semidirect
152. C2×#14556563C22semidirect
155. C2×#14556562C22semidirect
160. C2×Q8×Dic73C22semidirect
161. C2×Q8×Dic73C22semidirect
162. C2×C4×Dic146C22semidirect
163. C2×C4×Dic146C22semidirect
164. C2×#14556556C22semidirect
165. C2×#14556556C22semidirect
170. C2×D4×Dic73C22semidirect
171. C2×D4×Dic73C22semidirect
172. C2×D4×Dic73C22semidirect
178. C2×C4×C22⋊D73C22semidirect
182. C2×#14556551C22semidirect
183. C2×#14556551C22semidirect
189. C2×#14556549C22semidirect
190. C2×#14556549C22semidirect
192. C2×#14556547C22semidirect
193. C2×#14556547C22semidirect
194. C2×#14556547C22semidirect
195. C2×#14556547C22semidirect
196. C22×C4⋊Dic73C22semidirect
197. C22×C4⋊Dic73C22semidirect
198. C2×C4⋊C4×D73C22semidirect
202. C22×C4×Dic73C22semidirect
203. #562×C73C22semidirect
204. C2×#125×C73C22semidirect
206. C2×#124×C73C22semidirect
209. C2×#123×C73C22semidirect
210. C2×#123×C73C22semidirect
212. C2×C22⋊Q8×C73C22semidirect
213. C2×C22⋊Q8×C73C22semidirect
214. C2×C22⋊Q8×C73C22semidirect
218. C2×#121×C73C22semidirect
250. #14556590C23semidirect
251. #14556589C23semidirect
252. #14556589C23semidirect
262. #14556586C23semidirect
269. #14556584C23semidirect
270. #14556584C23semidirect
271. #14556584C23semidirect
272. #14556584C23semidirect
273. #14556584C23semidirect
274. #14556582C23semidirect
275. #14556582C23semidirect
276. #14556582C23semidirect
277. #14556582C23semidirect
278. #14556582C23semidirect
279. #14556582C23semidirect
280. #14556582C23semidirect
281. #14556581C23semidirect
282. #14556581C23semidirect
283. #14556581C23semidirect
284. #14556581C23semidirect
293. #14556577C23semidirect
294. #14556577C23semidirect
304. #14556575C23semidirect
307. #14556574C23semidirect
312. #14556573C23semidirect
314. #14556572C23semidirect
316. #14556571C23semidirect
318. #14556570C23semidirect
322. #14556569C23semidirect
324. #14556568C23semidirect
325. #14556568C23semidirect
326. #14556568C23semidirect
339. #14556563C23semidirect
342. #14556562C23semidirect
347. Q8×Dic73C23semidirect
348. Q8×Dic73C23semidirect
349. C4×Dic146C23semidirect
350. C4×Dic146C23semidirect
351. #14556556C23semidirect
352. #14556556C23semidirect
357. D4×Dic73C23semidirect
358. D4×Dic73C23semidirect
359. D4×Dic73C23semidirect
365. C4×C22⋊D73C23semidirect
369. #14556551C23semidirect
370. #14556551C23semidirect
376. #14556549C23semidirect
377. #14556549C23semidirect
379. #14556547C23semidirect
380. #14556547C23semidirect
381. #14556547C23semidirect
382. #14556547C23semidirect
399. C2×C4⋊Dic73C23semidirect
400. C2×C4⋊Dic73C23semidirect
423. C4⋊C4×D73C23semidirect
478. C2×C4×Dic73C23semidirect
491. #125×C73C23semidirect
493. #124×C73C23semidirect
496. #123×C73C23semidirect
497. #123×C73C23semidirect
499. C22⋊Q8×C73C23semidirect
500. C22⋊Q8×C73C23semidirect
501. C22⋊Q8×C73C23semidirect
505. #121×C73C23semidirect
945. C2×C73#3566semidirect
955. C2×#562D73semidirect
984. C73C2×#3566semidirect
987. #562C2×D73semidirect
1051. C2×#125C2×D73semidirect
1063. C2×#124C2×D73semidirect
1086. C2×#123C2×D73semidirect
1087. C2×#123C2×D73semidirect
1103. C2×C22⋊Q8C2×D73semidirect
1104. C2×C22⋊Q8C2×D73semidirect
1105. C2×C22⋊Q8C2×D73semidirect
1123. C2×#121C2×D73semidirect
1249. #125C22×D73semidirect
1261. #124C22×D73semidirect
1284. #123C22×D73semidirect
1285. #123C22×D73semidirect
1301. C22⋊Q8C22×D73semidirect
1302. C22⋊Q8C22×D73semidirect
1303. C22⋊Q8C22×D73semidirect
1321. #121C22×D73semidirect
1899. C2#22624596direct (N × H)

Maximal subgroups

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

subgroupindex
#226245962
C2×#179893382
C2×#179893342
C2×#179893252
C2×#179893192
C2×#179893062
C2×#179893012
C2×#179892892
C2×#179892822
C2×#179892792
C2×#179892752
C2×#179892652
C2×#179892642
C2×#179892602
C2×#179892072
C2×#179892012
C2×#179891972
C2×#179891962
C2×#179891872
C2×#179891812
C2×#179891802
C2×#179891742
C2×#179891712
C2×#179891692
C2×#179891232
C2×#179891182
C2×#179891142
C2×#562×C732
C2×#356673