Finite Group Databasebeta

← C2×#22623989 #33994112

Subgroups — C2×#22623989 #33994112

Order 18688.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623989C2132yesmaximal, direct product factor
2C2×#17989308C211yesmaximal, characteristic, complemented
3C2×#17989304C211yesmaximal, characteristic, complemented
4C2×#17989295C211yesmaximal, characteristic, complemented
5C2×#17989289C211yesmaximal, characteristic, complemented
6C2×#17989288C211yesmaximal, characteristic, complemented
7C2×#17989282C211yesmaximal, characteristic, complemented
8C2×#17989275C211yesmaximal, characteristic, complemented
9C2×#17989274C211yesmaximal, characteristic, complemented
10C2×#17989269C211yesmaximal, characteristic, complemented
11C2×#17989264C211yesmaximal, characteristic, complemented
12C2×#17989264C211yesmaximal, characteristic, complemented
13C2×#17989260C211yesmaximal, characteristic, complemented
14C2×#17989260C211yesmaximal, characteristic, complemented
15C2×#17989235C211yesmaximal, characteristic, complemented
16C2×#17989229C211yesmaximal, characteristic, complemented
17C2×#17989226C211yesmaximal, characteristic, complemented
18C2×#17989203C211yesmaximal, characteristic, complemented
19C2×#17989196C211yesmaximal, characteristic, complemented
20C2×#17989183C211yesmaximal, characteristic, complemented
21C2×#17989173C211yesmaximal, characteristic, complemented
22C2×#17989170C211yesmaximal, characteristic, complemented
23C2×#17989123C211yesmaximal, characteristic, complemented
24C2×#17989122C211yesmaximal, characteristic, complemented
25C2×#17989117C211yesmaximal, characteristic, complemented
26C2×#17989114C211yesmaximal, characteristic, complemented
27C22×#14556586C211yesmaximal, characteristic, complemented
28C2×#126×D73C211yesmaximal, characteristic, complemented
29C2×#17989068C211yesmaximal, characteristic, complemented
30C2×#17989059C211yesmaximal, characteristic, complemented
31C2×C4×#11924027C211yesmaximal, characteristic, complemented
32C2×#539×C73C211yesmaximal, characteristic, complemented
33C22×#11924028C2211yescharacteristic
34C22×#11924027C2211yescharacteristic
35C22×D4×D73C2211yescharacteristic
36#17989308C22116yescomplemented
37#17989304C22116yescomplemented
38#17989295C22116yescomplemented
39#17989289C22116yescomplemented
40#17989288C22116yescomplemented
41#17989282C22116yescomplemented
42#17989275C22116yescomplemented
43#17989274C22116yescomplemented
44#17989269C22116yescomplemented
45#17989264C22116yescomplemented
46#17989264C22116yescomplemented
47#17989260C22116yescomplemented
48#17989260C22116yescomplemented
49#17989235C22116yescomplemented
50#17989229C22116yescomplemented
51#17989226C22116yescomplemented
52#17989203C22116yescomplemented
53#17989196C22116yescomplemented
54#17989183C22116yescomplemented
55#17989173C22116yescomplemented
56#17989170C22116yescomplemented
57C2×#14556590C2211yescharacteristic, complemented
58C2×#14556590C2211yescharacteristic, complemented
59#17989123C22116yescomplemented
60#17989122C22116yescomplemented
61#17989117C22116yescomplemented
62#17989114C22116yescomplemented
63C2×#14556586C2211yescharacteristic
64C2×#14556586C2211yescharacteristic
65C2×#14556586C2211yescharacteristic
66C2×#14556586C2211yescharacteristic
67C2×#14556586C2211yescharacteristic
68C2×#14556586C2211yescharacteristic
69C2×#14556586C2211yescharacteristic
70C2×#14556586C2211yescharacteristic
71C2×#14556586C2211yescharacteristic, complemented
72C2×#14556586C2211yescharacteristic, complemented
73C2×#14556586C2211yescharacteristic, complemented
74C2×#14556586C2211yescharacteristic, complemented
75C2×#14556586C2211yescharacteristic, complemented
76C2×#14556586C2211yescharacteristic, complemented
77C2×#14556586C22116yescomplemented
78C2×#14556585C2211yescharacteristic
79C2×#14556584C2211yescharacteristic, complemented
80C2×#14556584C2211yescharacteristic, complemented
81C2×#14556584C2211yescharacteristic, complemented
82C2×#14556584C2211yescharacteristic, complemented
83C2×#14556584C2211yescharacteristic, complemented
84#126×D73C22116yescomplemented
85C2×#14556582C2211yescharacteristic, complemented
86C2×#14556582C2211yescharacteristic, complemented
87C2×#14556581C2211yescharacteristic, complemented
88C2×#14556581C2211yescharacteristic, complemented
89C2×#14556581C2211yescharacteristic, complemented
90C2×#14556581C2211yescharacteristic, complemented
91C2×#14556581C2211yescharacteristic, complemented
92C2×#14556580C2211yescharacteristic
93C2×#14556579C2211yescharacteristic, complemented
94C2×#14556577C2211yescharacteristic
95C2×#14556577C2211yescharacteristic
96C2×#14556577C2211yescharacteristic
97C2×#14556577C2211yescharacteristic
98C2×#14556577C2211yescharacteristic, complemented
99C2×#14556576C2211yescharacteristic
100C2×#14556576C2211yescharacteristic
101C2×#14556576C2211yescharacteristic
102C2×#14556576C2211yescharacteristic
103C2×#14556576C2211yescharacteristic, complemented
104C2×#14556576C2211yescharacteristic, complemented
105C2×#14556575C2211yescharacteristic
106C2×#14556575C2211yescharacteristic, complemented
107C2×#14556575C2211yescharacteristic, complemented
108C2×#14556575C2211yescharacteristic, complemented
109C2×#14556574C2211yescharacteristic, complemented
110C2×#14556573C2211yescharacteristic, complemented
111C2×#14556573C2211yescharacteristic, complemented
112C2×#14556572C2211yescharacteristic
113C2×#14556571C2211yescharacteristic, complemented
114C2×#14556571C2211yescharacteristic, complemented
115C2×#14556571C2211yescharacteristic, complemented
116C2×#14556569C2211yescharacteristic
117C2×#14556569C2211yescharacteristic
118C2×#14556569C2211yescharacteristic, complemented
119C2×#14556568C2211yescharacteristic, complemented
120C2×#14556568C2211yescharacteristic, complemented
121C2×#14556568C2211yescharacteristic, complemented
122C2×#14556568C2211yescharacteristic, complemented
123C2×#14556567C2211yescharacteristic, complemented
124C2×#14556567C2211yescharacteristic, complemented
125C2×#14556566C2211yescharacteristic
126C2×#14556565C2211yescharacteristic
127C2×#14556564C2211yescharacteristic
128C2×#14556564C2211yescharacteristic
129C2×#14556564C2211yescharacteristic, complemented
130C2×#14556564C2211yescharacteristic, complemented
131C2×#14556563C2211yescharacteristic
132C2×#14556563C2211yescharacteristic
133C2×#14556563C2211yescharacteristic, complemented
134C2×#14556562C2211yescharacteristic, complemented
135C2×#14556561C2211yescharacteristic
136C2×#14556561C2211yescharacteristic
137C2×#14556559C2211yescharacteristic
138C2×#14556559C2211yescharacteristic
139#17989068C22116yescomplemented
140#17989059C22116yescomplemented
141C4×#11924027C22116yescomplemented
142C2×Q8×Dic73C2211yescharacteristic, complemented
143C2×C4×Dic146C2211yescharacteristic, complemented
144C2×C4×Dic146C2211yescharacteristic, complemented
145C2×#14556556C2211yescharacteristic, complemented
146C2×#14556556C2211yescharacteristic, complemented
147C2×#14556556C2211yescharacteristic, complemented
148C2×#14556556C2211yescharacteristic, complemented
149C2×C4×D292C2211yescharacteristic
150C2×D4×Dic73C2211yescharacteristic
151C2×D4×Dic73C2211yescharacteristic, complemented
152C2×D4×Dic73C2211yescharacteristic, complemented
153C2×#14556553C2211yescharacteristic
154C2×#14556553C2211yescharacteristic
155C2×#14556553C2211yescharacteristic, complemented
156C2×#14556553C2211yescharacteristic, complemented
157C2×#14556553C2211yescharacteristic, complemented
158C2×C4×C22⋊D73C2211yescharacteristic
159C2×C4×C22⋊D73C2211yescharacteristic
160C2×C4×C22⋊D73C2211yescharacteristic
161C2×C4×C22⋊D73C2211yescharacteristic, complemented
162C2×C4×C22⋊D73C2211yescharacteristic, complemented
163C2×C4×C22⋊D73C2211yescharacteristic, complemented
164C2×C4×C22⋊D73C2211yescharacteristic, complemented
165C2×#14556551C2211yescharacteristic
166C2×#14556551C2211yescharacteristic
167C2×#14556551C2211yescharacteristic
168C2×#14556551C2211yescharacteristic
169C2×#14556551C2211yescharacteristic, complemented
170C2×#14556551C2211yescharacteristic, complemented
171C2×#14556551C2211yescharacteristic, complemented
172C2×#14556550C2211yescharacteristic, complemented
173C2×#14556550C2211yescharacteristic, complemented
174C2×#14556549C2211yescharacteristic
175C2×#14556549C2211yescharacteristic, complemented
176C2×#14556549C2211yescharacteristic, complemented
177C2×#14556549C2211yescharacteristic, complemented
178C2×#14556549C2211yescharacteristic, complemented
179C2×#14556549C2211yescharacteristic, complemented
180C2×#14556549C2211yescharacteristic, complemented
181C2×#14556548C2211yescharacteristic
182C2×#14556548C2211yescharacteristic, complemented
183C2×#14556547C2211yescharacteristic, complemented
184C2×#14556547C2211yescharacteristic, complemented
185C2×#14556547C2211yescharacteristic, complemented
186C22×C4⋊Dic73C2211yescharacteristic, complemented
187C22×#11924007C2211yescharacteristic, complemented
188C2×C4⋊C4×D73C2211yescharacteristic, complemented
189C2×C4⋊C4×D73C2211yescharacteristic, complemented
190C2×C4⋊C4×D73C2211yescharacteristic, complemented
191C2×C4⋊C4×D73C2211yescharacteristic, complemented
192C22×#11924005C2211yescharacteristic
193C22×#11924005C2211yescharacteristic
194C22×#11924005C2211yescharacteristic
195C22×#11924005C2211yescharacteristic
196C2×C22⋊C4×D73C2211yescharacteristic
197C2×C22⋊C4×D73C2211yescharacteristic
198C2×C22⋊C4×D73C2211yescharacteristic
199C2×C22⋊C4×D73C2211yescharacteristic
200C22×C4×Dic73C2211yescharacteristic, complemented
201C22×C4×Dic73C2211yescharacteristic, complemented
202C2×C42×D73C2211yescharacteristic, complemented
203#539×C73C22116yescomplemented
204C2×#126×C73C2211yescharacteristic, complemented
205C2×#126×C73C2211yescharacteristic, complemented
206C2×#125×C73C2211yescharacteristic, complemented
207C2×#125×C73C2211yescharacteristic, complemented
208C2×#123×C73C2211yescharacteristic
209C2×#123×C73C2211yescharacteristic, complemented
210C2×#123×C73C2211yescharacteristic, complemented
211C2×#123×C73C2211yescharacteristic, complemented
212C2×C22⋊Q8×C73C2211yescharacteristic, complemented
213C2×C22⋊Q8×C73C2211yescharacteristic, complemented
214C2×C22⋊Q8×C73C2211yescharacteristic, complemented
215C2×#121×C73C2211yescharacteristic
216C2×C4×D4×C73C2211yescharacteristic
217C2×C4×D4×C73C2211yescharacteristic, complemented
218C22×C4⋊C4×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C2×#11924028—28no—
222C2×#11924028C2318yes—
223C2×#11924027—28no—
224C2×#11924027C2318yes—
225C22×Dic146C2311yescharacteristic
226C22×Dic146C2311yescharacteristic
227C22×Dic146C2311yescharacteristic
228C22×Dic146C2311yescharacteristic
229C22×D292C2311yescharacteristic
230C22×D292C2311yescharacteristic
231C22×D292C2311yescharacteristic
232C22×D292C2311yescharacteristic
233C22×C22⋊D73C2311yescharacteristic
234C22×C22⋊D73C2311yescharacteristic
235C22×C22⋊D73C2311yescharacteristic
236C22×C22⋊D73C2311yescharacteristic
237C22×C22⋊D73C2311yescharacteristic
238C22×C22⋊D73C2311yescharacteristic
239C22×C22⋊D73C2311yescharacteristic
240C22×C22⋊D73C2311yescharacteristic
241C2×D4×D73—28no—
242C2×D4×D73C2318yes—
243C23×Dic73C2311yescharacteristic
244C23×Dic73C2311yescharacteristic
245C23×Dic73C2311yescharacteristic
246C23×Dic73C2311yescharacteristic
247C23×Dic73C2311yescharacteristic
248C23×Dic73C2311yescharacteristic
249C22×C4×D73C2311yescharacteristic
250C22×C4×D73C2311yescharacteristic
251C22×C4×D73C2311yescharacteristic
252C22×C4×D73C2311yescharacteristic
253C22×C4×D73C2311yescharacteristic
254C22×C4×D73C2311yescharacteristic
255C22×C4×D73C2311yescharacteristic
256C22×C4×D73C2311yescharacteristic
257C22×C4×D73C2311yescharacteristic
258C22×C4×D73C2311yescharacteristic
259C22×C4×D73C2311yescharacteristic
260C22×C4×D73C2311yescharacteristic
261#14556590C2318yescomplemented
262#14556590C2318yescomplemented
263#14556586C2318yes—
264#14556586C2318yes—
265#14556586C2318yes—
266#14556586C2318yes—
267#14556586C2318yes—
268#14556586C2318yes—
269#14556586C2318yes—
270#14556586C2318yes—
271#14556586C2318yescomplemented
272#14556586C2318yescomplemented
273#14556586C2318yescomplemented
274#14556586C2318yescomplemented
275#14556586C2318yescomplemented
276#14556586C2318yescomplemented
277#14556585C2318yes—
278#14556584C2318yescomplemented
279#14556584C2318yescomplemented
280#14556584C2318yescomplemented
281#14556584C2318yescomplemented
282#14556584C2318yescomplemented
283#14556582C2318yescomplemented
284#14556582C2318yescomplemented
285#14556581C2318yescomplemented
286#14556581C2318yescomplemented
287#14556581C2318yescomplemented
288#14556581C2318yescomplemented
289#14556581C2318yescomplemented
290#14556580C2318yes—
291#14556579C2318yescomplemented
292#14556577C2318yes—
293#14556577C2318yes—
294#14556577C2318yes—
295#14556577C2318yes—
296#14556577C2318yescomplemented
297#14556576C2318yes—
298#14556576C2318yes—
299#14556576C2318yes—
300#14556576C2318yes—
301#14556576C2318yescomplemented
302#14556576C2318yescomplemented
303#14556575C2318yes—
304#14556575C2318yescomplemented
305#14556575C2318yescomplemented
306#14556575C2318yescomplemented
307#14556574C2318yescomplemented
308#14556573C2318yescomplemented
309#14556573C2318yescomplemented
310#14556572C2318yes—
311#14556571C2318yescomplemented
312#14556571C2318yescomplemented
313#14556571C2318yescomplemented
314#14556569C2318yes—
315#14556569C2318yes—
316#14556569C2318yescomplemented
317#14556568C2318yescomplemented
318#14556568C2318yescomplemented
319#14556568C2318yescomplemented
320#14556568C2318yescomplemented
321#14556567C2318yescomplemented
322#14556567C2318yescomplemented
323#14556566C2318yes—
324#14556565C2318yes—
325#14556564C2318yes—
326#14556564C2318yes—
327#14556564C2318yescomplemented
328#14556564C2318yescomplemented
329#14556563C2318yes—
330#14556563C2318yes—
331#14556563C2318yescomplemented
332#14556562C2318yescomplemented
333#14556561C2318yes—
334#14556561C2318yes—
335#14556559C2318yes—
336#14556559C2318yes—
337Q8×Dic73C2318yescomplemented
338C4×Dic146C2318yescomplemented
339C4×Dic146C2318yescomplemented
340#14556556C2318yescomplemented
341#14556556C2318yescomplemented
342#14556556C2318yescomplemented
343#14556556C2318yescomplemented
344C4×D292C2318yes—
345D4×Dic73C2318yes—
346D4×Dic73C2318yescomplemented
347D4×Dic73C2318yescomplemented
348#14556553C2318yes—
349#14556553C2318yes—
350#14556553C2318yescomplemented
351#14556553C2318yescomplemented
352#14556553C2318yescomplemented
353C4×C22⋊D73C2318yes—
354C4×C22⋊D73C2318yes—
355C4×C22⋊D73C2318yes—
356C4×C22⋊D73C2318yescomplemented
357C4×C22⋊D73C2318yescomplemented
358C4×C22⋊D73C2318yescomplemented
359C4×C22⋊D73C2318yescomplemented
360#14556551C2318yes—
361#14556551C2318yes—
362#14556551C2318yes—
363#14556551C2318yes—
364#14556551C2318yescomplemented
365#14556551C2318yescomplemented
366#14556551C2318yescomplemented
367#14556550C2318yescomplemented
368#14556550C2318yescomplemented
369#14556549C2318yes—
370#14556549C2318yescomplemented
371#14556549C2318yescomplemented
372#14556549C2318yescomplemented
373#14556549C2318yescomplemented
374#14556549C2318yescomplemented
375#14556549C2318yescomplemented
376#14556548C2318yes—
377#14556548C2318yescomplemented
378#14556547C2318yescomplemented
379#14556547C2318yescomplemented
380#14556547C2318yescomplemented
381C2×C4⋊Dic73C2311yescharacteristic
382C2×C4⋊Dic73C2311yescharacteristic
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⋊Dic73C2318yescomplemented
394C2×#11924007C2311yescharacteristic
395C2×#11924007C2311yescharacteristic
396C2×#11924007C2311yescharacteristic
397C2×#11924007C2311yescharacteristic
398C2×#11924007C2311yescharacteristic
399C2×#11924007C2311yescharacteristic
400C2×#11924007C2311yescharacteristic
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×#11924007C2318yescomplemented
415C4⋊C4×D73C2318yescomplemented
416C4⋊C4×D73C2318yescomplemented
417C4⋊C4×D73C2318yescomplemented
418C4⋊C4×D73C2318yescomplemented
419C2×C22⋊Dic73C2311yescharacteristic
420C2×C22⋊Dic73C2311yescharacteristic
421C2×C22⋊Dic73C2311yescharacteristic
422C2×C22⋊Dic73C2311yescharacteristic
423C2×C22⋊Dic73C2311yescharacteristic
424C2×C22⋊Dic73C2311yescharacteristic
425C2×C22⋊Dic73C2311yescharacteristic
426C2×C22⋊Dic73C2311yescharacteristic
427C2×#11924005C2318yes—
428C2×#11924005C2318yes—
429C2×#11924005C2318yes—
430C2×#11924005C2318yes—
431C2×#11924005C2311yescharacteristic
432C2×#11924005C2311yescharacteristic
433C2×#11924005C2311yescharacteristic
434C2×#11924005C2311yescharacteristic
435C2×#11924005C2311yescharacteristic
436C2×#11924005C2311yescharacteristic
437C2×#11924005C2311yescharacteristic
438C2×#11924005C2311yescharacteristic
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
459C22⋊C4×D73C2318yes—
460C22⋊C4×D73C2318yes—
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×Dic73C2311yescharacteristic
479C2×C4×Dic73C2318yescomplemented
480C2×C4×Dic73C2318yescomplemented
481C42×D73C2318yescomplemented
482C22×Q8×C73C2311yescharacteristic
483C22×D4×C73C2311yescharacteristic
484C22×D4×C73C2311yescharacteristic
485C22×D4×C73C2311yescharacteristic
486C23×C4×C73C2311yescharacteristic
487C23×C4×C73C2311yescharacteristic
488C23×C4×C73C2311yescharacteristic
489C23×C4×C73C2311yescharacteristic
490C23×C4×C73C2311yescharacteristic
491#126×C73C2318yescomplemented
492#126×C73C2318yescomplemented
493#125×C73C2318yescomplemented
494#125×C73C2318yescomplemented
495#123×C73C2318yes—
496#123×C73C2318yescomplemented
497#123×C73C2318yescomplemented
498#123×C73C2318yescomplemented
499C22⋊Q8×C73C2318yescomplemented
500C22⋊Q8×C73C2318yescomplemented
501C22⋊Q8×C73C2318yescomplemented
502#121×C73C2318yes—
503C4×D4×C73C2318yes—
504C4×D4×C73C2318yescomplemented
505C2×C4⋊C4×C73C2311yescharacteristic
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×C4⋊C4×C73C2311yescharacteristic
517C2×C4⋊C4×C73C2311yescharacteristic
518C2×C4⋊C4×C73C2311yescharacteristic
519C2×C4⋊C4×C73C2318yescomplemented
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×C42×C73C2311yescharacteristic
531C2×C42×C73C2311yescharacteristic
532C23×D73—24no—
533C23×D73—24no—
534C23×D73—42no—
535C23×D73—42no—
536C23×D73—42no—
537C23×D73—42no—
538C23×D73C2411yescharacteristic
539C23×D73C2411yescharacteristic
540C23×D73C2411yescharacteristic
541C23×D73C2411yescharacteristic
542C23×D73C2414yes—
543C23×D73C2414yes—
544#11924028—232no—
545#11924027—232no—
546C2×Dic146—24no—
547C2×Dic146—24no—
548C2×Dic146—42no—
549C2×Dic146—42no—
550C2×Dic146C2414yes—
551C2×Dic146C2414yes—
552C2×Dic146C2414yes—
553C2×Dic146C2414yes—
554C2×D292—24no—
555C2×D292—24no—
556C2×D292—42no—
557C2×D292—42no—
558C2×D292C2414yes—
559C2×D292C2414yes—
560C2×D292C2414yes—
561C2×D292C2414yes—
562C2×C22⋊D73—24no—
563C2×C22⋊D73—24no—
564C2×C22⋊D73—24no—
565C2×C22⋊D73—42no—
566C2×C22⋊D73—42no—
567C2×C22⋊D73—42no—
568C2×C22⋊D73—42no—
569C2×C22⋊D73#4118yes—
570C2×C22⋊D73C2414yes—
571C2×C22⋊D73C2414yes—
572C2×C22⋊D73C2414yes—
573C2×C22⋊D73C2414yes—
574C2×C22⋊D73C2414yes—
575C2×C22⋊D73C2414yes—
576C2×C22⋊D73C2414yes—
577C2×C22⋊D73C2414yes—
578D4×D73—232no—
579C22×Dic73—24no—
580C22×Dic73—24no—
581C22×Dic73—42no—
582C22×Dic73—42no—
583C22×Dic73—42no—
584C22×Dic73—42no—
585C22×Dic73C2411yescharacteristic
586C22×Dic73C2411yescharacteristic
587C22×Dic73C2411yescharacteristic
588C22×Dic73C2411yescharacteristic
589C22×Dic73C2411yescharacteristic
590C22×Dic73C2411yescharacteristic
591C22×Dic73C2411yescharacteristic
592C22×Dic73C2411yescharacteristic
593C22×Dic73C2411yescharacteristic
594C22×Dic73C2411yescharacteristic
595C22×Dic73C2411yescharacteristic
596C22×Dic73C2414yes—
597C22×Dic73C2414yes—
598C22×Dic73C2414yes—
599C22×Dic73C2414yes—
600C22×Dic73C2414yes—
601C22×Dic73C2414yes—
602C22×Dic73C2411yescharacteristic
603C2×C4×D73—24no—
604C2×C4×D73—24no—
605C2×C4×D73—24no—
606C2×C4×D73—24no—
607C2×C4×D73—42no—
608C2×C4×D73—42no—
609C2×C4×D73—42no—
610C2×C4×D73—42no—
611C2×C4×D73—42no—
612C2×C4×D73—42no—
613C2×C4×D73—42no—
614C2×C4×D73—42no—
615C2×C4×D73C2414yes—
616C2×C4×D73C2414yes—
617C2×C4×D73C2414yes—
618C2×C4×D73C2414yes—
619C2×C4×D73C2414yes—
620C2×C4×D73C2414yes—
621C2×C4×D73C2414yes—
622C2×C4×D73C2414yes—
623C2×C4×D73C2414yes—
624C2×C4×D73C2414yes—
625C2×C4×D73C2414yes—
626C2×C4×D73C2414yes—
627C4⋊Dic73C2414yes—
628C4⋊Dic73C2414yes—
629C4⋊Dic73C2414yes—
630C4⋊Dic73C2414yes—
631C4⋊Dic73C2414yes—
632C4⋊Dic73C2414yes—
633C4⋊Dic73C2414yes—
634C4⋊Dic73C2414yes—
635C4⋊Dic73C2414yes—
636C4⋊Dic73C2414yes—
637C4⋊Dic73C2414yes—
638C4⋊Dic73C2414yes—
639#11924007C2414yes—
640#11924007C2414yes—
641#11924007C2414yes—
642#11924007C2414yes—
643#11924007C2414yes—
644#11924007C2414yes—
645#11924007C2414yes—
646#11924007C2414yes—
647#11924007C2414yes—
648#11924007C2414yes—
649#11924007C2414yes—
650#11924007C2414yes—
651#11924007C2414yes—
652#11924007C2414yes—
653#11924007C2414yes—
654#11924007C2414yes—
655#11924007C2414yes—
656#11924007C2414yes—
657#11924007C2414yes—
658#11924007C2414yes—
659C22⋊Dic73C2414yes—
660C22⋊Dic73C2414yes—
661C22⋊Dic73C2414yes—
662C22⋊Dic73C2414yes—
663C22⋊Dic73C2414yes—
664C22⋊Dic73C2414yes—
665C22⋊Dic73C2414yes—
666C22⋊Dic73C2414yes—
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—
683#11924005C2414yes—
684#11924005C2414yes—
685#11924005C2414yes—
686#11924005C2414yes—
687#11924005C2414yes—
688#11924005C2414yes—
689#11924005C2414yes—
690#11924005C2414yes—
691#11924005C2414yes—
692#11924005C2414yes—
693#11924005C2414yes—
694#11924005C2414yes—
695C4×Dic73C2414yes—
696C4×Dic73C2414yes—
697C4×Dic73C2414yes—
698C4×Dic73C2414yes—
699C4×Dic73C2414yes—
700C4×Dic73C2414yes—
701C4×Dic73C2414yes—
702C4×Dic73C2414yes—
703C4×Dic73C2414yes—
704C4×Dic73C2414yes—
705C4×Dic73C2414yes—
706C4×Dic73C2414yes—
707C4×Dic73C2414yes—
708C4×Dic73C2414yes—
709C4×Dic73C2414yes—
710C4×Dic73C2414yes—
711C24×C73C2411yescharacteristic
712C24×C73C2411yescharacteristic
713C24×C73C2411yescharacteristic
714C2×Q8×C73—42no—
715C2×Q8×C73C2414yes—
716C2×D4×C73—24no—
717C2×D4×C73—24no—
718C2×D4×C73—42no—
719C2×D4×C73C2414yes—
720C2×D4×C73C2414yes—
721C2×D4×C73C2414yes—
722C22×C4×C73—24no—
723C22×C4×C73—42no—
724C22×C4×C73—42no—
725C22×C4×C73—42no—
726C22×C4×C73—42no—
727C22×C4×C73C2411yescharacteristic
728C22×C4×C73C2411yescharacteristic
729C22×C4×C73C2411yescharacteristic
730C22×C4×C73C2411yescharacteristic
731C22×C4×C73C2411yescharacteristic
732C22×C4×C73C2411yescharacteristic
733C22×C4×C73C2411yescharacteristic
734C22×C4×C73C2411yescharacteristic
735C22×C4×C73C2411yescharacteristic
736C22×C4×C73C2411yescharacteristic
737C22×C4×C73C2411yescharacteristic
738C22×C4×C73C2411yescharacteristic
739C22×C4×C73C2414yes—
740C22×C4×C73C2414yes—
741C22×C4×C73C2414yes—
742C22×C4×C73C2414yes—
743C22×C4×C73C2414yes—
744C4⋊C4×C73C2414yes—
745C4⋊C4×C73C2414yes—
746C4⋊C4×C73C2414yes—
747C4⋊C4×C73C2414yes—
748C4⋊C4×C73C2414yes—
749C4⋊C4×C73C2414yes—
750C4⋊C4×C73C2414yes—
751C4⋊C4×C73C2414yes—
752C4⋊C4×C73C2414yes—
753C4⋊C4×C73C2414yes—
754C4⋊C4×C73C2414yes—
755C4⋊C4×C73C2414yes—
756C4⋊C4×C73C2414yes—
757C4⋊C4×C73C2414yes—
758C22⋊C4×C73C2414yes—
759C22⋊C4×C73C2414yes—
760C22⋊C4×C73C2414yes—
761C22⋊C4×C73C2414yes—
762C22⋊C4×C73C2414yes—
763C22⋊C4×C73C2414yes—
764C22⋊C4×C73C2414yes—
765C22⋊C4×C73C2414yes—
766C22⋊C4×C73C2414yes—
767C22⋊C4×C73C2414yes—
768C42×C73C2414yes—
769C42×C73C2414yes—
770C23×C73—22no—
771C23×C73—22no—
772C23×C73—22no—
773C23×C73—22no—
774C23×C73—22no—
775C23×C73—22no—
776C23×C73—22no—
777C23×C73—22no—
778C23×C73C2×#4114yes—
779C23×C73C2512yes—
780C23×C73C2512yes—
781C23×C73C2512yes—
782C23×C73C2511yescharacteristic
783C22×D73—22no—
784C22×D73—22no—
785C22×D73—22no—
786C22×D73—22no—
787C22×D73—22no—
788C22×D73—22no—
789C22×D73—22no—
790C22×D73—22no—
791C22×D73—22no—
792C22×D73—22no—
793C22×D73—22no—
794C22×D73—28no—
795C22×D73—28no—
796C22×D73—44no—
797C22×D73—44no—
798C22×D73—44no—
799C22×D73—44no—
800C22×D73—88no—
801C22×D73—88no—
802C22×D73C2×#4114yes—
803C22×D73C2512yes—
804C22×D73C2512yes—
805C22×D73C2512yes—
806C22×D73C2512yes—
807Q8×C73—44no—
808D4×C73—28no—
809D4×C73—28no—
810D4×C73—44no—
811C2×C4×C73—22no—
812C2×C4×C73—22no—
813C2×C4×C73—28no—
814C2×C4×C73—22no—
815C2×C4×C73—22no—
816C2×C4×C73—22no—
817C2×C4×C73—22no—
818C2×C4×C73—22no—
819C2×C4×C73—22no—
820C2×C4×C73—22no—
821C2×C4×C73—22no—
822C2×C4×C73—22no—
823C2×C4×C73—22no—
824C2×C4×C73—44no—
825C2×C4×C73—44no—
826C2×C4×C73—44no—
827C2×C4×C73—44no—
828C2×C4×C73C2512yes—
829C2×C4×C73C2512yes—
830C2×C4×C73C2512yes—
831C2×C4×C73C2512yes—
832C2×C4×C73C2512yes—
833C2×C4×C73C2512yes—
834C2×C4×C73C2512yes—
835C2×C4×C73C2512yes—
836C2×C4×C73C2512yes—
837C2×C4×C73C2512yes—
838C2×C4×C73C2512yes—
839C2×C4×C73C2512yes—
840C22⋊D73—28no—
841C22⋊D73—28no—
842C22⋊D73—28no—
843C22⋊D73—44no—
844C22⋊D73—44no—
845C22⋊D73—44no—
846C22⋊D73—44no—
847C22⋊D73C2×#41116yes—
848C2×Dic73—22no—
849C2×Dic73—22no—
850C2×Dic73—22no—
851C2×Dic73—28no—
852C2×Dic73—22no—
853C2×Dic73—22no—
854C2×Dic73—22no—
855C2×Dic73—22no—
856C2×Dic73—22no—
857C2×Dic73—22no—
858C2×Dic73—22no—
859C2×Dic73—22no—
860C2×Dic73—28no—
861C2×Dic73—44no—
862C2×Dic73—44no—
863C2×Dic73—44no—
864C2×Dic73—44no—
865C2×Dic73C2×#4114yes—
866C2×Dic73C2512yes—
867C2×Dic73C2512yes—
868C2×Dic73C2512yes—
869C2×Dic73C2512yes—
870C2×Dic73C2512yes—
871C2×Dic73C2512yes—
872C2×Dic73C2512yes—
873C2×Dic73C2512yes—
874C2×Dic73C2512yes—
875C2×Dic73C2512yes—
876C2×Dic73C2512yes—
877C2×Dic73C2512yes—
878D292—28no—
879D292—28no—
880D292—44no—
881D292—44no—
882C4×D73—28no—
883C4×D73—28no—
884C4×D73—28no—
885C4×D73—28no—
886C4×D73—44no—
887C4×D73—44no—
888C4×D73—44no—
889C4×D73—44no—
890C4×D73—44no—
891C4×D73—44no—
892C4×D73—44no—
893C4×D73—44no—
894Dic146—28no—
895Dic146—28no—
896Dic146—44no—
897Dic146—44no—
898C22×C73—22no—
899C22×C73—22no—
900C22×C73—28no—
901C22×C73—22no—
902C22×C73—22no—
903C22×C73—22no—
904C22×C73—22no—
905C22×C73—22no—
906C22×C73—22no—
907C22×C73—44no—
908C22×C73—44no—
909C22×C73C22×#4114yes—
910C22×C73C22×#4112yes—
911C22×C73#58512yes—
912C22×C73#58512yes—
913C22×C73C2611yescharacteristic
914C2×D73—22no—
915C2×D73—22no—
916C2×D73—28no—
917C2×D73—22no—
918C2×D73—22no—
919C2×D73—22no—
920C2×D73—22no—
921C2×D73—22no—
922C2×D73—22no—
923C2×D73—22no—
924C2×D73—22no—
925C2×D73—22no—
926C2×D73—44no—
927C2×D73—44no—
928C2×D73—44no—
929C2×D73—88no—
930C2×D73—88no—
931C2×D73C22×#4114yes—
932C4×C73—22no—
933C4×C73—22no—
934C4×C73—22no—
935C4×C73—22no—
936C4×C73—22no—
937C4×C73—22no—
938C4×C73—22no—
939C4×C73—22no—
940C4×C73—22no—
941C4×C73—22no—
942C4×C73—22no—
943C4×C73—22no—
944Dic73—22no—
945Dic73—22no—
946Dic73—22no—
947Dic73—22no—
948Dic73—22no—
949Dic73—22no—
950Dic73—22no—
951Dic73—22no—
952Dic73—22no—
953Dic73—22no—
954Dic73—22no—
955Dic73C22×#4114yes—
956C2×#3521—731nomaximal, Sylow
957C2×C73—24no—
958C2×C73—42no—
959C2×C73—42no—
960C2×C73#352114yescomplemented
961C2×C73C23×#4111yescharacteristic
962C2×C73C2×#58511yescharacteristic
963C2×C73C2×#58511yescharacteristic
964D73—24no—
965D73—42no—
966D73—42no—
967D73—42no—
968#3521—7332no—
969C2×#556—731no—
970C2×#556—731no—
971C2×#554—731no—
972C2×#553—731no—
973C2×#553—731no—
974C2×#553—731no—
975C2×#552—731no—
976C2×#552—731no—
977C2×#552—731no—
978C2×#551—731no—
979C2×#551—731no—
980C2×#551—731no—
981C2×#551—731no—
982C2×#547—731no—
983C2×#546—731no—
984C2×#546—731no—
985C2×#542—731no—
986C2×#541—731no—
987C2×#539—731no—
988C2×#539D7311yescharacteristic, complemented
989C2×#538—731no—
990C2×#538—731no—
991C2×#529—731no—
992C2×#529—731no—
993C2×#529—731no—
994C2×#529—731no—
995C22×#126—731no—
996C22×#126—731no—
997C2×#520—731no—
998C2×#518—731no—
999C2×C4×#41—731no—
1000C73C2×#352111yescharacteristic, complemented, Sylow
1001C22×#41—731no—
1002C22×#41—731no—
1003C23×D4—731no—
1004#556—7316no—
1005#556—7316no—
1006#554—7316no—
1007#553—7316no—
1008#553—7316no—
1009#553—7316no—
1010#552—7316no—
1011#552—7316no—
1012#552—7316no—
1013#551—7316no—
1014#551—7316no—
1015#551—7316no—
1016#551—7316no—
1017#547—7316no—
1018#546—7316no—
1019#546—7316no—
1020#542—7316no—
1021#541—7316no—
1022#539—7316no—
1023#539C2×D73116yescomplemented
1024#538—7316no—
1025#538—7316no—
1026C2×C4⋊Q8—731no—
1027C2×C4⋊Q8—731no—
1028#529—7316no—
1029#529—7316no—
1030#529—7316no—
1031#529—7316no—
1032C2×#126—7316no—
1033C2×#126—731no—
1034C2×#126—731no—
1035C2×#126—731no—
1036C2×#126—731no—
1037C2×#126—731no—
1038C2×#126—731no—
1039C2×#126—731no—
1040C2×#126—731no—
1041C2×#126—731no—
1042C2×#126—731no—
1043C2×#126—731no—
1044C2×#126—731no—
1045C2×#126—731no—
1046C2×#126—731no—
1047C2×#126—7316no—
1048C2×#126—731no—
1049C2×#126—731no—
1050C2×#126—731no—
1051C2×#126—731no—
1052C2×#126—731no—
1053C2×#126—731no—
1054C2×#126C2×D7311yescharacteristic, complemented
1055C2×#126C2×D7311yescharacteristic, complemented
1056C2×#125—731no—
1057C2×#125—731no—
1058C2×#125—731no—
1059C2×#125—731no—
1060C2×#125—731no—
1061C2×#125—731no—
1062C2×#125—731no—
1063C2×#125C2×D7311yescharacteristic, complemented
1064C2×#125C2×D7311yescharacteristic, complemented
1065C2×#124—731no—
1066C2×#124—731no—
1067C2×#124—731no—
1068C2×#124—731no—
1069C2×#124—731no—
1070C2×#124—731no—
1071C2×#124—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×#123—731no—
1085C2×#123—731no—
1086C2×#123C2×D7311yescharacteristic
1087C2×#123C2×D7311yescharacteristic, complemented
1088C2×#123C2×D7311yescharacteristic, complemented
1089C2×#123C2×D7311yescharacteristic, complemented
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, complemented
1103C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1104C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1105C2×#121—731no—
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×#121C2×D7311yescharacteristic
1116C2×#120—731no—
1117C2×#120—731no—
1118C2×#120—731no—
1119C2×#120—731no—
1120#520—7316no—
1121#518—7316no—
1122C4×#41—7316no—
1123C2×C4×Q8—731no—
1124C2×C4×Q8—731no—
1125C2×C4×Q8—731no—
1126C2×C4×Q8—731no—
1127C2×C4×Q8—731no—
1128C2×C4×Q8—731no—
1129C2×C4×Q8—731no—
1130C2×C4×D4—731no—
1131C2×C4×D4—731no—
1132C2×C4×D4—731no—
1133C2×C4×D4—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×C4×D4—731no—
1153C2×C4×D4C2×D7311yescharacteristic
1154C2×C4×D4C2×D7311yescharacteristic, complemented
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—
1164C2×#117—731no—
1165C2×#117—731no—
1166C2×#117—731no—
1167C2×#117—731no—
1168C2×#117—731no—
1169C22×C4⋊C4—731no—
1170C22×C4⋊C4—731no—
1171C22×C4⋊C4—731no—
1172C22×C4⋊C4—731no—
1173C22×C4⋊C4—731no—
1174C22×C4⋊C4—731no—
1175C22×C4⋊C4C2×D7311yescharacteristic, complemented
1176C22×C22⋊C4—731no—
1177C22×C22⋊C4—731no—
1178C22×C22⋊C4—731no—
1179C22×C22⋊C4—731no—
1180C22×C22⋊C4—731no—
1181C22×C22⋊C4—731no—
1182C22×C22⋊C4—731no—
1183C22×C22⋊C4—731no—
1184C22×C42—731no—
1185C22×C42—731no—
1186C22×C42—731no—
1187C25—731no—
1188C25—731no—
1189C2×#41—738no—
1190C2×#41—738no—
1191C2×#41—1468no—
1192C2×#41—1468no—
1193C22×Q8—731no—
1194C22×Q8—731no—
1195C22×Q8—731no—
1196C22×Q8—731no—
1197C22×Q8C22×D7311yescharacteristic
1198C22×D4—731no—
1199C22×D4—731no—
1200C22×D4—731no—
1201C22×D4—731no—
1202C22×D4—731no—
1203C22×D4—731no—
1204C22×D4—731no—
1205C22×D4—731no—
1206C22×D4—738no—
1207C22×D4—731no—
1208C22×D4—731no—
1209C22×D4—731no—
1210C22×D4—731no—
1211C22×D4—1468no—
1212C22×D4C22×D7311yescharacteristic
1213C22×D4C22×D7311yescharacteristic
1214C22×D4C22×D7311yescharacteristic
1215C23×C4—731no—
1216C23×C4—731no—
1217C23×C4—731no—
1218C23×C4—731no—
1219C23×C4—731no—
1220C23×C4—731no—
1221C23×C4—731no—
1222C23×C4—731no—
1223C23×C4—731no—
1224C23×C4—731no—
1225C23×C4—731no—
1226C23×C4—731no—
1227C23×C4—731no—
1228C23×C4—731no—
1229C23×C4—731no—
1230C23×C4—731no—
1231C23×C4—731no—
1232C23×C4—731no—
1233C23×C4C22×D7311yescharacteristic
1234C23×C4C22×D7311yescharacteristic
1235C23×C4C22×D7311yescharacteristic
1236C23×C4C22×D7311yescharacteristic
1237C23×C4C22×D7311yescharacteristic
1238C4⋊Q8—738no—
1239C4⋊Q8—738no—
1240#126—738no—
1241#126—738no—
1242#126—738no—
1243#126—738no—
1244#126—738no—
1245#126—738no—
1246#126—738no—
1247#126—738no—
1248#126—738no—
1249#126—738no—
1250#126—738no—
1251#126—738no—
1252#126—738no—
1253#126—738no—
1254#126—738no—
1255#126—738no—
1256#126—738no—
1257#126—738no—
1258#126—738no—
1259#126—738no—
1260#126C22×D7318yescomplemented
1261#126C22×D7318yescomplemented
1262#125—738no—
1263#125—738no—
1264#125—738no—
1265#125—738no—
1266#125—738no—
1267#125—738no—
1268#125—738no—
1269#125C22×D7318yescomplemented
1270#125C22×D7318yescomplemented
1271#124—738no—
1272#124—738no—
1273#124—738no—
1274#124—738no—
1275#124—738no—
1276#124—738no—
1277#124—738no—
1278#123—738no—
1279#123—738no—
1280#123—738no—
1281#123—738no—
1282#123—738no—
1283#123—738no—
1284#123—738no—
1285#123—738no—
1286#123—738no—
1287#123—738no—
1288#123—738no—
1289#123—738no—
1290#123—738no—
1291#123—738no—
1292#123C22×D7318yes—
1293#123C22×D7318yescomplemented
1294#123C22×D7318yescomplemented
1295#123C22×D7318yescomplemented
1296C22⋊Q8—738no—
1297C22⋊Q8—738no—
1298C22⋊Q8—738no—
1299C22⋊Q8—738no—
1300C22⋊Q8—738no—
1301C22⋊Q8—738no—
1302C22⋊Q8—738no—
1303C22⋊Q8—738no—
1304C22⋊Q8—738no—
1305C22⋊Q8—738no—
1306C22⋊Q8—738no—
1307C22⋊Q8—738no—
1308C22⋊Q8C22×D7318yescomplemented
1309C22⋊Q8C22×D7318yescomplemented
1310C22⋊Q8C22×D7318yescomplemented
1311#121—738no—
1312#121—738no—
1313#121—738no—
1314#121—738no—
1315#121—738no—
1316#121—738no—
1317#121—738no—
1318#121—738no—
1319#121—738no—
1320#121—738no—
1321#121C22×D7318yes—
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×Q8—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—
1350C4×D4—738no—
1351C4×D4—738no—
1352C4×D4—738no—
1353C4×D4—738no—
1354C4×D4—738no—
1355C4×D4—738no—
1356C4×D4C22×D7318yes—
1357C4×D4C22×D7318yescomplemented
1358#117—738no—
1359#117—738no—
1360#117—738no—
1361#117—738no—
1362#117—738no—
1363#117—738no—
1364#117—738no—
1365#117—738no—
1366#117—738no—
1367#117—738no—
1368#117—738no—
1369#117—738no—
1370#117—738no—
1371#117—738no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—731no—
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—738no—
1390C2×C4⋊C4—738no—
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—731no—
1403C2×C4⋊C4—731no—
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—731no—
1406C2×C4⋊C4—738no—
1407C2×C4⋊C4—738no—
1408C2×C4⋊C4—738no—
1409C2×C4⋊C4—738no—
1410C2×C4⋊C4C22×D7311yescharacteristic
1411C2×C4⋊C4C22×D7311yescharacteristic
1412C2×C4⋊C4C22×D7311yescharacteristic
1413C2×C4⋊C4C22×D7311yescharacteristic
1414C2×C4⋊C4C22×D7311yescharacteristic
1415C2×C4⋊C4C22×D7311yescharacteristic
1416C2×C4⋊C4C22×D7311yescharacteristic
1417C2×C4⋊C4C22×D7311yescharacteristic
1418C2×C4⋊C4C22×D7311yescharacteristic
1419C2×C4⋊C4C22×D7311yescharacteristic
1420C2×C4⋊C4C22×D7311yescharacteristic
1421C2×C4⋊C4C22×D7311yescharacteristic
1422C2×C4⋊C4C22×D7311yescharacteristic
1423C2×C4⋊C4C22×D7311yescharacteristic
1424C2×C4⋊C4C22×D7318yescomplemented
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—731no—
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—738no—
1446C2×C22⋊C4—738no—
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—738no—
1454C2×C22⋊C4—738no—
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—738no—
1466C2×C22⋊C4—738no—
1467C2×C22⋊C4—738no—
1468C2×C22⋊C4—738no—
1469C2×C22⋊C4C22×D7311yescharacteristic
1470C2×C22⋊C4C22×D7311yescharacteristic
1471C2×C22⋊C4C22×D7311yescharacteristic
1472C2×C22⋊C4C22×D7311yescharacteristic
1473C2×C22⋊C4C22×D7311yescharacteristic
1474C2×C22⋊C4C22×D7311yescharacteristic
1475C2×C22⋊C4C22×D7311yescharacteristic
1476C2×C22⋊C4C22×D7311yescharacteristic
1477C2×C22⋊C4C22×D7311yescharacteristic
1478C2×C22⋊C4C22×D7311yescharacteristic
1479C2×C42—731no—
1480C2×C42—731no—
1481C2×C42—731no—
1482C2×C42—731no—
1483C2×C42—731no—
1484C2×C42—731no—
1485C2×C42—731no—
1486C2×C42—731no—
1487C2×C42—731no—
1488C2×C42—731no—
1489C2×C42—731no—
1490C2×C42—731no—
1491C2×C42—731no—
1492C2×C42—731no—
1493C2×C42—731no—
1494C2×C42—738no—
1495C2×C42—738no—
1496C2×C42—731no—
1497C2×C42—738no—
1498C2×C42C22×D7311yescharacteristic
1499C2×C42C22×D7311yescharacteristic
1500C24—2922no—
1501C24—2922no—
1502C24—2922no—
1503C24—2922no—
1504C24—734no—
1505C24—734no—
1506C24—731no—
1507C24—731no—
1508C24—731no—
1509C24—731no—
1510C24—1464no—
1511C24—1464no—
1512C24C23×D7311yescharacteristic
1513C24C23×D7311yescharacteristic
1514C24C23×D7311yescharacteristic
1515#41—14632no—
1516#41—14632no—
1517C2×Q8—42no—
1518C2×Q8—2922no—
1519C2×Q8—2922no—
1520C2×Q8—734no—
1521C2×Q8—734no—
1522C2×Q8—734no—
1523C2×Q8—734no—
1524C2×Q8—1464no—
1525C2×Q8—1464no—
1526C2×Q8C23×D7314yes—
1527C2×D4—24no—
1528C2×D4—24no—
1529C2×D4—42no—
1530C2×D4—2922no—
1531C2×D4—2922no—
1532C2×D4—2922no—
1533C2×D4—2922no—
1534C2×D4—2922no—
1535C2×D4—2922no—
1536C2×D4—734no—
1537C2×D4—734no—
1538C2×D4—734no—
1539C2×D4—734no—
1540C2×D4—738no—
1541C2×D4—734no—
1542C2×D4—734no—
1543C2×D4—734no—
1544C2×D4—734no—
1545C2×D4—734no—
1546C2×D4—734no—
1547C2×D4—734no—
1548C2×D4—734no—
1549C2×D4—1464no—
1550C2×D4—1464no—
1551C2×D4—1464no—
1552C2×D4—14632no—
1553C2×D4—1464no—
1554C2×D4—1464no—
1555C2×D4C23×D7314yes—
1556C2×D4C23×D7314yes—
1557C2×D4C23×D7314yes—
1558C22×C4—24no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—2922no—
1564C22×C4—2922no—
1565C22×C4—2922no—
1566C22×C4—2922no—
1567C22×C4—2922no—
1568C22×C4—2922no—
1569C22×C4—2922no—
1570C22×C4—2922no—
1571C22×C4—2922no—
1572C22×C4—2922no—
1573C22×C4—2922no—
1574C22×C4—2922no—
1575C22×C4—734no—
1576C22×C4—734no—
1577C22×C4—734no—
1578C22×C4—734no—
1579C22×C4—734no—
1580C22×C4—734no—
1581C22×C4—734no—
1582C22×C4—734no—
1583C22×C4—734no—
1584C22×C4—734no—
1585C22×C4—734no—
1586C22×C4—734no—
1587C22×C4—731no—
1588C22×C4—734no—
1589C22×C4—734no—
1590C22×C4—731no—
1591C22×C4—731no—
1592C22×C4—731no—
1593C22×C4—731no—
1594C22×C4—731no—
1595C22×C4—731no—
1596C22×C4—731no—
1597C22×C4—731no—
1598C22×C4—731no—
1599C22×C4—731no—
1600C22×C4—731no—
1601C22×C4—734no—
1602C22×C4—734no—
1603C22×C4—734no—
1604C22×C4—734no—
1605C22×C4—1464no—
1606C22×C4—1464no—
1607C22×C4—1464no—
1608C22×C4—1464no—
1609C22×C4—1464no—
1610C22×C4—1464no—
1611C22×C4C23×D7314yes—
1612C22×C4C23×D7311yescharacteristic
1613C22×C4C23×D7311yescharacteristic
1614C22×C4C23×D7311yescharacteristic
1615C22×C4C23×D7311yescharacteristic
1616C22×C4C23×D7311yescharacteristic
1617C22×C4C23×D7311yescharacteristic
1618C22×C4C23×D7311yescharacteristic
1619C22×C4C23×D7311yescharacteristic
1620C22×C4C23×D7311yescharacteristic
1621C22×C4C23×D7311yescharacteristic
1622C22×C4C23×D7311yescharacteristic
1623C22×C4C23×D7311yescharacteristic
1624C22×C4C23×D7314yes—
1625C22×C4C23×D7314yes—
1626C22×C4C23×D7314yes—
1627C22×C4C23×D7314yes—
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⋊C4—734no—
1639C4⋊C4—734no—
1640C4⋊C4—734no—
1641C4⋊C4—734no—
1642C4⋊C4—734no—
1643C4⋊C4—734no—
1644C4⋊C4—734no—
1645C4⋊C4—734no—
1646C4⋊C4—734no—
1647C4⋊C4—734no—
1648C4⋊C4—734no—
1649C4⋊C4—734no—
1650C4⋊C4—734no—
1651C4⋊C4—734no—
1652C4⋊C4—734no—
1653C4⋊C4—734no—
1654C4⋊C4—734no—
1655C4⋊C4—734no—
1656C4⋊C4—734no—
1657C4⋊C4—734no—
1658C4⋊C4—734no—
1659C4⋊C4—734no—
1660C4⋊C4C23×D7314yes—
1661C4⋊C4C23×D7314yes—
1662C4⋊C4C23×D7314yes—
1663C4⋊C4C23×D7314yes—
1664C4⋊C4C23×D7314yes—
1665C4⋊C4C23×D7314yes—
1666C4⋊C4C23×D7314yes—
1667C4⋊C4C23×D7314yes—
1668C4⋊C4C23×D7314yes—
1669C4⋊C4C23×D7314yes—
1670C4⋊C4C23×D7314yes—
1671C4⋊C4C23×D7314yes—
1672C4⋊C4C23×D7314yes—
1673C4⋊C4C23×D7314yes—
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⋊C4—734no—
1685C22⋊C4—734no—
1686C22⋊C4—734no—
1687C22⋊C4—734no—
1688C22⋊C4—734no—
1689C22⋊C4—734no—
1690C22⋊C4—734no—
1691C22⋊C4—734no—
1692C22⋊C4—734no—
1693C22⋊C4—734no—
1694C22⋊C4—734no—
1695C22⋊C4—734no—
1696C22⋊C4—734no—
1697C22⋊C4—734no—
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⋊C4C23×D7314yes—
1711C22⋊C4C23×D7314yes—
1712C22⋊C4C23×D7314yes—
1713C22⋊C4C23×D7314yes—
1714C22⋊C4C23×D7314yes—
1715C22⋊C4C23×D7314yes—
1716C22⋊C4C23×D7314yes—
1717C22⋊C4C23×D7314yes—
1718C22⋊C4C23×D7314yes—
1719C22⋊C4C23×D7314yes—
1720C42—734no—
1721C42—734no—
1722C42—734no—
1723C42—734no—
1724C42—734no—
1725C42—734no—
1726C42—734no—
1727C42—734no—
1728C42—734no—
1729C42—734no—
1730C42—734no—
1731C42—734no—
1732C42—734no—
1733C42—734no—
1734C42—734no—
1735C42—734no—
1736C42C23×D7314yes—
1737C42C23×D7314yes—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—2924no—
1747C23—2924no—
1748C23—2924no—
1749C23—2924no—
1750C23—5848no—
1751C23—5848no—
1752C23—734no—
1753C23—732no—
1754C23—732no—
1755C23—732no—
1756C23—732no—
1757C23—1468no—
1758C23—1462no—
1759C23—1462no—
1760C23—1462no—
1761C23—1462no—
1762C23—1462no—
1763C23—1462no—
1764C23—1462no—
1765C23—1462no—
1766C23—1462no—
1767C23—1468no—
1768C23—1462no—
1769C23—1462no—
1770C23#41×D7314yes—
1771C23C24×D7312yes—
1772C23C24×D7312yes—
1773C23C24×D7312yes—
1774C23C24×D7311yescharacteristic
1775Q8—44no—
1776Q8—2924no—
1777Q8—2924no—
1778Q8—1468no—
1779Q8—1468no—
1780D4—28no—
1781D4—28no—
1782D4—44no—
1783D4—2924no—
1784D4—2924no—
1785D4—2924no—
1786D4—2924no—
1787D4—2924no—
1788D4—2924no—
1789D4—7316no—
1790D4—1468no—
1791D4—1468no—
1792D4—1468no—
1793D4—1468no—
1794D4—1468no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—28no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—44no—
1812C2×C4—2924no—
1813C2×C4—2924no—
1814C2×C4—2924no—
1815C2×C4—2924no—
1816C2×C4—2924no—
1817C2×C4—2924no—
1818C2×C4—2924no—
1819C2×C4—2924no—
1820C2×C4—2924no—
1821C2×C4—2924no—
1822C2×C4—2924no—
1823C2×C4—2924no—
1824C2×C4—734no—
1825C2×C4—732no—
1826C2×C4—732no—
1827C2×C4—732no—
1828C2×C4—732no—
1829C2×C4—732no—
1830C2×C4—732no—
1831C2×C4—732no—
1832C2×C4—732no—
1833C2×C4—732no—
1834C2×C4—732no—
1835C2×C4—732no—
1836C2×C4—732no—
1837C2×C4—1468no—
1838C2×C4—1468no—
1839C2×C4—1468no—
1840C2×C4—1468no—
1841C2×C4—1468no—
1842C2×C4—1462no—
1843C2×C4—1462no—
1844C2×C4—1462no—
1845C2×C4—1468no—
1846C2×C4—1462no—
1847C2×C4—1462no—
1848C2×C4—1462no—
1849C2×C4—1462no—
1850C2×C4—1462no—
1851C2×C4—1462no—
1852C2×C4—1462no—
1853C2×C4—1462no—
1854C2×C4C24×D7312yes—
1855C2×C4C24×D7312yes—
1856C2×C4C24×D7312yes—
1857C2×C4C24×D7312yes—
1858C2×C4C24×D7312yes—
1859C2×C4C24×D7312yes—
1860C2×C4C24×D7312yes—
1861C2×C4C24×D7312yes—
1862C2×C4C24×D7312yes—
1863C2×C4C24×D7312yes—
1864C2×C4C24×D7312yes—
1865C2×C4C24×D7312yes—
1866C22—22no—
1867C22—22no—
1868C22—28no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—44no—
1876C22—44no—
1877C22—2924no—
1878C22—2924no—
1879C22—2924no—
1880C22—5848no—
1881C22—5848no—
1882C22—734no—
1883C22—1462no—
1884C22—1462no—
1885C22—1462no—
1886C22—1462no—
1887C22—1462no—
1888C22—1462no—
1889C22—1462no—
1890C22—1462no—
1891C22—1462no—
1892C22—1462no—
1893C22—1462no—
1894C22—1468no—
1895C22C2×#41×D7314yes—
1896C22C2×#41×D7312yes—
1897C22#1798942212yes—
1898C22#1798942412yes—
1899C22C25×D7311yescharacteristic
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—734no—
1913C4—1462no—
1914C4—1462no—
1915C4—1462no—
1916C4—1462no—
1917C4—1462no—
1918C4—1462no—
1919C4—1462no—
1920C4—1462no—
1921C4—1462no—
1922C4—1462no—
1923C4—1462no—
1924C2—24no—
1925C2—42no—
1926C2—42no—
1927C2—2922no—
1928C2—2922no—
1929C2—2922no—
1930C2—1464no—
1931C2#2262398914yesdirect product factor
1932C2C22×#41×D7311yescharacteristic
1933C2C2×#1798942211yescharacteristic
1934C2C2×#1798942411yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#539×C73C2
socleC23×C73C25
hypercenterC2×#539D73
hypocenterC73C2×#3521
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #22623989C2direct (N × H)
2. C2×#17989308C2semidirect
3. C2×#17989304C2semidirect
4. C2×#17989295C2semidirect
5. C2×#17989289C2semidirect
6. C2×#17989288C2semidirect
7. C2×#17989282C2semidirect
8. C2×#17989275C2semidirect
9. C2×#17989274C2semidirect
10. C2×#17989269C2semidirect
11. C2×#17989264C2semidirect
12. C2×#17989264C2semidirect
13. C2×#17989260C2semidirect
14. C2×#17989260C2semidirect
15. C2×#17989235C2semidirect
16. C2×#17989229C2semidirect
17. C2×#17989226C2semidirect
18. C2×#17989203C2semidirect
19. C2×#17989196C2semidirect
20. C2×#17989183C2semidirect
21. C2×#17989173C2semidirect
22. C2×#17989170C2semidirect
23. C2×#17989123C2semidirect
24. C2×#17989122C2semidirect
25. C2×#17989117C2semidirect
26. C2×#17989114C2semidirect
27. C22×#14556586C2semidirect
28. C2×#126×D73C2semidirect
29. C2×#17989068C2semidirect
30. C2×#17989059C2semidirect
31. C2×C4×#11924027C2semidirect
32. C2×#539×C73C2semidirect
36. #17989308C22semidirect
37. #17989304C22semidirect
38. #17989295C22semidirect
39. #17989289C22semidirect
40. #17989288C22semidirect
41. #17989282C22semidirect
42. #17989275C22semidirect
43. #17989274C22semidirect
44. #17989269C22semidirect
45. #17989264C22semidirect
46. #17989264C22semidirect
47. #17989260C22semidirect
48. #17989260C22semidirect
49. #17989235C22semidirect
50. #17989229C22semidirect
51. #17989226C22semidirect
52. #17989203C22semidirect
53. #17989196C22semidirect
54. #17989183C22semidirect
55. #17989173C22semidirect
56. #17989170C22semidirect
57. C2×#14556590C22semidirect
58. C2×#14556590C22semidirect
59. #17989123C22semidirect
60. #17989122C22semidirect
61. #17989117C22semidirect
62. #17989114C22semidirect
71. C2×#14556586C22semidirect
72. C2×#14556586C22semidirect
73. C2×#14556586C22semidirect
74. C2×#14556586C22semidirect
75. C2×#14556586C22semidirect
76. C2×#14556586C22semidirect
77. C2×#14556586C22semidirect
79. C2×#14556584C22semidirect
80. C2×#14556584C22semidirect
81. C2×#14556584C22semidirect
82. C2×#14556584C22semidirect
83. C2×#14556584C22semidirect
84. #126×D73C22semidirect
85. C2×#14556582C22semidirect
86. C2×#14556582C22semidirect
87. C2×#14556581C22semidirect
88. C2×#14556581C22semidirect
89. C2×#14556581C22semidirect
90. C2×#14556581C22semidirect
91. C2×#14556581C22semidirect
93. C2×#14556579C22semidirect
98. C2×#14556577C22semidirect
103. C2×#14556576C22semidirect
104. C2×#14556576C22semidirect
106. C2×#14556575C22semidirect
107. C2×#14556575C22semidirect
108. C2×#14556575C22semidirect
109. C2×#14556574C22semidirect
110. C2×#14556573C22semidirect
111. C2×#14556573C22semidirect
113. C2×#14556571C22semidirect
114. C2×#14556571C22semidirect
115. C2×#14556571C22semidirect
118. C2×#14556569C22semidirect
119. C2×#14556568C22semidirect
120. C2×#14556568C22semidirect
121. C2×#14556568C22semidirect
122. C2×#14556568C22semidirect
123. C2×#14556567C22semidirect
124. C2×#14556567C22semidirect
129. C2×#14556564C22semidirect
130. C2×#14556564C22semidirect
133. C2×#14556563C22semidirect
134. C2×#14556562C22semidirect
139. #17989068C22semidirect
140. #17989059C22semidirect
141. C4×#11924027C22semidirect
142. C2×Q8×Dic73C22semidirect
143. C2×C4×Dic146C22semidirect
144. C2×C4×Dic146C22semidirect
145. C2×#14556556C22semidirect
146. C2×#14556556C22semidirect
147. C2×#14556556C22semidirect
148. C2×#14556556C22semidirect
151. C2×D4×Dic73C22semidirect
152. C2×D4×Dic73C22semidirect
155. C2×#14556553C22semidirect
156. C2×#14556553C22semidirect
157. C2×#14556553C22semidirect
161. C2×C4×C22⋊D73C22semidirect
162. C2×C4×C22⋊D73C22semidirect
163. C2×C4×C22⋊D73C22semidirect
164. C2×C4×C22⋊D73C22semidirect
169. C2×#14556551C22semidirect
170. C2×#14556551C22semidirect
171. C2×#14556551C22semidirect
172. C2×#14556550C22semidirect
173. C2×#14556550C22semidirect
175. C2×#14556549C22semidirect
176. C2×#14556549C22semidirect
177. C2×#14556549C22semidirect
178. C2×#14556549C22semidirect
179. C2×#14556549C22semidirect
180. C2×#14556549C22semidirect
182. C2×#14556548C22semidirect
183. C2×#14556547C22semidirect
184. C2×#14556547C22semidirect
185. C2×#14556547C22semidirect
186. C22×C4⋊Dic73C22semidirect
187. C22×#11924007C22semidirect
188. C2×C4⋊C4×D73C22semidirect
189. C2×C4⋊C4×D73C22semidirect
190. C2×C4⋊C4×D73C22semidirect
191. C2×C4⋊C4×D73C22semidirect
200. C22×C4×Dic73C22semidirect
201. C22×C4×Dic73C22semidirect
202. C2×C42×D73C22semidirect
203. #539×C73C22semidirect
204. C2×#126×C73C22semidirect
205. C2×#126×C73C22semidirect
206. C2×#125×C73C22semidirect
207. C2×#125×C73C22semidirect
209. C2×#123×C73C22semidirect
210. C2×#123×C73C22semidirect
211. C2×#123×C73C22semidirect
212. C2×C22⋊Q8×C73C22semidirect
213. C2×C22⋊Q8×C73C22semidirect
214. C2×C22⋊Q8×C73C22semidirect
217. C2×C4×D4×C73C22semidirect
218. C22×C4⋊C4×C73C22semidirect
261. #14556590C23semidirect
262. #14556590C23semidirect
271. #14556586C23semidirect
272. #14556586C23semidirect
273. #14556586C23semidirect
274. #14556586C23semidirect
275. #14556586C23semidirect
276. #14556586C23semidirect
278. #14556584C23semidirect
279. #14556584C23semidirect
280. #14556584C23semidirect
281. #14556584C23semidirect
282. #14556584C23semidirect
283. #14556582C23semidirect
284. #14556582C23semidirect
285. #14556581C23semidirect
286. #14556581C23semidirect
287. #14556581C23semidirect
288. #14556581C23semidirect
289. #14556581C23semidirect
291. #14556579C23semidirect
296. #14556577C23semidirect
301. #14556576C23semidirect
302. #14556576C23semidirect
304. #14556575C23semidirect
305. #14556575C23semidirect
306. #14556575C23semidirect
307. #14556574C23semidirect
308. #14556573C23semidirect
309. #14556573C23semidirect
311. #14556571C23semidirect
312. #14556571C23semidirect
313. #14556571C23semidirect
316. #14556569C23semidirect
317. #14556568C23semidirect
318. #14556568C23semidirect
319. #14556568C23semidirect
320. #14556568C23semidirect
321. #14556567C23semidirect
322. #14556567C23semidirect
327. #14556564C23semidirect
328. #14556564C23semidirect
331. #14556563C23semidirect
332. #14556562C23semidirect
337. Q8×Dic73C23semidirect
338. C4×Dic146C23semidirect
339. C4×Dic146C23semidirect
340. #14556556C23semidirect
341. #14556556C23semidirect
342. #14556556C23semidirect
343. #14556556C23semidirect
346. D4×Dic73C23semidirect
347. D4×Dic73C23semidirect
350. #14556553C23semidirect
351. #14556553C23semidirect
352. #14556553C23semidirect
356. C4×C22⋊D73C23semidirect
357. C4×C22⋊D73C23semidirect
358. C4×C22⋊D73C23semidirect
359. C4×C22⋊D73C23semidirect
364. #14556551C23semidirect
365. #14556551C23semidirect
366. #14556551C23semidirect
367. #14556550C23semidirect
368. #14556550C23semidirect
370. #14556549C23semidirect
371. #14556549C23semidirect
372. #14556549C23semidirect
373. #14556549C23semidirect
374. #14556549C23semidirect
375. #14556549C23semidirect
377. #14556548C23semidirect
378. #14556547C23semidirect
379. #14556547C23semidirect
380. #14556547C23semidirect
393. C2×C4⋊Dic73C23semidirect
414. C2×#11924007C23semidirect
415. C4⋊C4×D73C23semidirect
416. C4⋊C4×D73C23semidirect
417. C4⋊C4×D73C23semidirect
418. C4⋊C4×D73C23semidirect
479. C2×C4×Dic73C23semidirect
480. C2×C4×Dic73C23semidirect
481. C42×D73C23semidirect
491. #126×C73C23semidirect
492. #126×C73C23semidirect
493. #125×C73C23semidirect
494. #125×C73C23semidirect
496. #123×C73C23semidirect
497. #123×C73C23semidirect
498. #123×C73C23semidirect
499. C22⋊Q8×C73C23semidirect
500. C22⋊Q8×C73C23semidirect
501. C22⋊Q8×C73C23semidirect
504. C4×D4×C73C23semidirect
519. C2×C4⋊C4×C73C23semidirect
960. C2×C73#3521semidirect
988. C2×#539D73semidirect
1000. C73C2×#3521semidirect
1023. #539C2×D73semidirect
1054. C2×#126C2×D73semidirect
1055. C2×#126C2×D73semidirect
1063. C2×#125C2×D73semidirect
1064. C2×#125C2×D73semidirect
1087. C2×#123C2×D73semidirect
1088. C2×#123C2×D73semidirect
1089. C2×#123C2×D73semidirect
1102. C2×C22⋊Q8C2×D73semidirect
1103. C2×C22⋊Q8C2×D73semidirect
1104. C2×C22⋊Q8C2×D73semidirect
1154. C2×C4×D4C2×D73semidirect
1175. C22×C4⋊C4C2×D73semidirect
1260. #126C22×D73semidirect
1261. #126C22×D73semidirect
1269. #125C22×D73semidirect
1270. #125C22×D73semidirect
1293. #123C22×D73semidirect
1294. #123C22×D73semidirect
1295. #123C22×D73semidirect
1308. C22⋊Q8C22×D73semidirect
1309. C22⋊Q8C22×D73semidirect
1310. C22⋊Q8C22×D73semidirect
1357. C4×D4C22×D73semidirect
1424. C2×C4⋊C4C22×D73semidirect
1931. C2#22623989direct (N × H)

Maximal subgroups

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

subgroupindex
#226239892
C2×#179893082
C2×#179893042
C2×#179892952
C2×#179892892
C2×#179892882
C2×#179892822
C2×#179892752
C2×#179892742
C2×#179892692
C2×#179892642
C2×#179892602
C2×#179892352
C2×#179892292
C2×#179892262
C2×#179892032
C2×#179891962
C2×#179891832
C2×#179891732
C2×#179891702
C2×#179891232
C2×#179891222
C2×#179891172
C2×#179891142
C22×#145565862
C2×#126×D732
C2×#179890682
C2×#179890592
C2×C4×#119240272
C2×#539×C732
C2×#352173