Finite Group Databasebeta

← C2×#22624132 #33993184

Subgroups — C2×#22624132 #33993184

Order 18688.

7302 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624132C2132yesmaximal, direct product factor
2C2×#17989338C211yesmaximal, characteristic, complemented
3C2×#17989336C211yesmaximal, characteristic, complemented
4C2×#17989334C211yesmaximal, characteristic, complemented
5C2×#17989332C211yesmaximal, characteristic, complemented
6C2×#17989292C211yesmaximal, characteristic, complemented
7C2×#17989291C211yesmaximal, characteristic, complemented
8C2×#17989274C211yesmaximal, characteristic, complemented
9C2×#17989272C211yesmaximal, characteristic, complemented
10C2×#17989266C211yesmaximal, characteristic, complemented
11C2×#17989266C211yesmaximal, characteristic, complemented
12C2×#17989265C211yesmaximal, characteristic, complemented
13C2×#17989260C211yesmaximal, characteristic, complemented
14C2×#17989236C211yesmaximal, characteristic, complemented
15C2×#17989226C211yesmaximal, characteristic, complemented
16C2×#17989225C211yesmaximal, characteristic, complemented
17C2×#17989214C211yesmaximal, characteristic, complemented
18C2×#17989212C211yesmaximal, characteristic, complemented
19C2×#17989207C211yesmaximal, characteristic, complemented
20C2×#17989205C211yesmaximal, characteristic, complemented
21C2×#17989184C211yesmaximal, characteristic, complemented
22C2×#17989182C211yesmaximal, characteristic, complemented
23C2×#17989180C211yesmaximal, characteristic, complemented
24C2×#17989179C211yesmaximal, characteristic, complemented
25C2×#17989179C211yesmaximal, characteristic, complemented
26C2×#17989169C211yesmaximal, characteristic, complemented
27C2×#17989159C211yesmaximal, characteristic, complemented
28C2×#17989158C211yesmaximal, characteristic, complemented
29C2×#17989094C211yesmaximal, characteristic, complemented
30C2×#123×D73C211yesmaximal, characteristic, complemented
31C22×#14556569C211yesmaximal, characteristic, complemented
32C2×#547×C73C211yesmaximal, characteristic, complemented
33C22×#11924027C2211yescharacteristic
34C23×Dic146C2211yescharacteristic, complemented
35C22×D4×D73C2211yescharacteristic
36C23×C4×D73C2211yescharacteristic
37#17989338C22116yescomplemented
38#17989336C22116yescomplemented
39#17989334C22116yescomplemented
40#17989332C22116yescomplemented
41#17989292C22116yescomplemented
42#17989291C22116yescomplemented
43#17989274C22116yescomplemented
44#17989272C22116yescomplemented
45#17989266C22116yescomplemented
46#17989266C22116yescomplemented
47#17989265C22116yescomplemented
48#17989260C22116yescomplemented
49#17989236C22116yescomplemented
50#17989226C22116yescomplemented
51#17989225C22116yescomplemented
52#17989214C22116yescomplemented
53#17989212C22116yescomplemented
54#17989207C22116yescomplemented
55#17989205C22116yescomplemented
56#17989184C22116yescomplemented
57#17989182C22116yescomplemented
58#17989180C22116yescomplemented
59#17989179C22116yescomplemented
60#17989179C22116yescomplemented
61#17989169C22116yescomplemented
62#17989159C22116yescomplemented
63#17989158C22116yescomplemented
64C2×#14556590C2211yescharacteristic, complemented
65C2×#14556590C2211yescharacteristic, complemented
66C2×#14556589C2211yescharacteristic, complemented
67C2×#14556589C2211yescharacteristic, complemented
68C2×#14556589C2211yescharacteristic, complemented
69C2×#14556586C2211yescharacteristic, complemented
70C2×#14556586C2211yescharacteristic, complemented
71C2×#14556586C2211yescharacteristic, complemented
72C2×#14556586C2211yescharacteristic, complemented
73C2×#14556586C2211yescharacteristic, complemented
74C2×#14556585C2211yescharacteristic, complemented
75C2×#14556585C2211yescharacteristic, complemented
76C2×#14556584C2211yescharacteristic, complemented
77C2×#14556584C2211yescharacteristic, complemented
78C2×#14556584C2211yescharacteristic, complemented
79C2×#14556584C2211yescharacteristic, complemented
80C2×#14556584C2211yescharacteristic, complemented
81C2×#14556583C2211yescharacteristic, complemented
82C2×#14556582C2211yescharacteristic, complemented
83C2×#14556582C2211yescharacteristic, complemented
84C2×#14556581C2211yescharacteristic, complemented
85C2×#14556581C2211yescharacteristic, complemented
86C2×#14556581C2211yescharacteristic, complemented
87C2×#14556581C2211yescharacteristic, complemented
88C2×#14556581C2211yescharacteristic, complemented
89C2×#14556581C2211yescharacteristic, complemented
90C2×#14556581C2211yescharacteristic, complemented
91C2×#14556580C2211yescharacteristic
92C2×#14556578C2211yescharacteristic, complemented
93C2×#14556578C2211yescharacteristic, complemented
94C2×#14556577C2211yescharacteristic
95C2×#14556577C2211yescharacteristic, complemented
96C2×#14556577C2211yescharacteristic, complemented
97C2×#14556577C2211yescharacteristic, complemented
98C2×#14556577C2211yescharacteristic, complemented
99#17989094C22116yescomplemented
100C2×#14556576C2211yescharacteristic
101C2×#14556576C2211yescharacteristic
102C2×#14556576C2211yescharacteristic
103C2×#14556575C2211yescharacteristic
104C2×#14556575C2211yescharacteristic, complemented
105C2×#14556574C2211yescharacteristic
106C2×#14556574C2211yescharacteristic
107C2×#14556574C2211yescharacteristic
108C2×#14556574C2211yescharacteristic, complemented
109C2×#14556574C2211yescharacteristic, complemented
110C2×#14556574C2211yescharacteristic, complemented
111C2×#14556573C2211yescharacteristic
112C2×#14556573C2211yescharacteristic
113C2×#14556573C2211yescharacteristic
114C2×#14556573C2211yescharacteristic
115C2×#14556573C2211yescharacteristic, complemented
116C2×#14556572C2211yescharacteristic
117C2×#14556572C2211yescharacteristic
118C2×#14556572C2211yescharacteristic, complemented
119C2×#14556572C2211yescharacteristic, complemented
120C2×#14556572C2211yescharacteristic, complemented
121C2×#14556572C2211yescharacteristic, complemented
122C2×#14556572C2211yescharacteristic, complemented
123C2×#14556572C2211yescharacteristic, complemented
124#123×D73C22116yescomplemented
125C2×#14556571C2211yescharacteristic
126C2×#14556571C2211yescharacteristic, complemented
127C2×#14556570C2211yescharacteristic, complemented
128C2×#14556570C2211yescharacteristic, complemented
129C2×#14556570C2211yescharacteristic, complemented
130C2×#14556570C2211yescharacteristic, complemented
131C2×#14556570C2211yescharacteristic, complemented
132C2×#14556570C2211yescharacteristic, complemented
133C2×#14556570C2211yescharacteristic, complemented
134C2×#14556569C2211yescharacteristic
135C2×#14556569C2211yescharacteristic
136C2×#14556569C2211yescharacteristic
137C2×#14556569C2211yescharacteristic
138C2×#14556569C2211yescharacteristic
139C2×#14556569C2211yescharacteristic
140C2×#14556569C2211yescharacteristic, complemented
141C2×#14556569C2211yescharacteristic, complemented
142C2×#14556569C2211yescharacteristic, complemented
143C2×#14556569C2211yescharacteristic, complemented
144C2×#14556569C2211yescharacteristic, complemented
145C2×#14556569C2211yescharacteristic, complemented
146C2×#14556569C2211yescharacteristic, complemented
147C2×#14556569C22116yescomplemented
148C2×#14556568C2211yescharacteristic, complemented
149C2×#14556568C2211yescharacteristic, complemented
150C2×#14556568C2211yescharacteristic, complemented
151C2×#14556568C2211yescharacteristic, complemented
152C2×#14556568C2211yescharacteristic, complemented
153C2×#14556568C2211yescharacteristic, complemented
154C2×#14556567C2211yescharacteristic
155C2×#14556567C2211yescharacteristic
156C2×#14556567C2211yescharacteristic, complemented
157C2×#14556567C2211yescharacteristic, complemented
158C2×#14556565C2211yescharacteristic
159C2×#14556564C2211yescharacteristic
160C2×#14556563C2211yescharacteristic
161C2×#14556563C2211yescharacteristic
162C2×#14556563C2211yescharacteristic
163C2×#14556563C2211yescharacteristic, complemented
164C2×#14556562C2211yescharacteristic
165C2×#14556562C2211yescharacteristic, complemented
166C2×#14556559C2211yescharacteristic
167C2×#14556559C2211yescharacteristic
168C2×#14556559C2211yescharacteristic
169C2×#14556559C2211yescharacteristic
170C2×#14556556C2211yescharacteristic, complemented
171C2×#14556556C2211yescharacteristic, complemented
172C2×D4×Dic73C2211yescharacteristic
173C2×D4×Dic73C2211yescharacteristic, complemented
174C2×C4×C22⋊D73C2211yescharacteristic
175C2×C4×C22⋊D73C2211yescharacteristic
176C2×C4×C22⋊D73C2211yescharacteristic
177C2×C4×C22⋊D73C2211yescharacteristic
178C2×C4×C22⋊D73C2211yescharacteristic
179C2×C4×C22⋊D73C2211yescharacteristic, complemented
180C2×C4×C22⋊D73C2211yescharacteristic, complemented
181C2×C4×C22⋊D73C2211yescharacteristic, complemented
182C2×#14556551C2211yescharacteristic
183C2×#14556551C2211yescharacteristic
184C2×#14556550C2211yescharacteristic, complemented
185C2×#14556550C2211yescharacteristic, complemented
186C2×#14556549C2211yescharacteristic
187C2×#14556549C2211yescharacteristic, complemented
188C2×#14556548C2211yescharacteristic
189C2×#14556547C2211yescharacteristic, complemented
190C2×#14556547C2211yescharacteristic, complemented
191C22×#11924007C2211yescharacteristic, complemented
192C22×#11924007C2211yescharacteristic, complemented
193C22×#11924007C2211yescharacteristic, complemented
194C2×C4⋊C4×D73C2211yescharacteristic
195C2×C4⋊C4×D73C2211yescharacteristic
196C22×#11924005C2211yescharacteristic
197C22×#11924005C2211yescharacteristic
198C22×#11924005C2211yescharacteristic
199C2×C22⋊C4×D73C2211yescharacteristic
200C2×C22⋊C4×D73C2211yescharacteristic
201C2×C22⋊C4×D73C2211yescharacteristic
202C2×C22⋊C4×D73C2211yescharacteristic
203C22×#41×C73C2211yescharacteristic
204C22×#41×C73C2211yescharacteristic, complemented
205#547×C73C22116yescomplemented
206C2×C4⋊Q8×C73C2211yescharacteristic, complemented
207C2×#123×C73C2211yescharacteristic
208C2×#123×C73C2211yescharacteristic, complemented
209C2×#123×C73C2211yescharacteristic, complemented
210C2×#123×C73C2211yescharacteristic, complemented
211C2×C22⋊Q8×C73C2211yescharacteristic, complemented
212C2×C22⋊Q8×C73C2211yescharacteristic, complemented
213C2×#121×C73C2211yescharacteristic
214C2×#121×C73C2211yescharacteristic, complemented
215C2×C4×D4×C73C2211yescharacteristic, complemented
216C2×C4×D4×C73C2211yescharacteristic, complemented
217C22×C4⋊C4×C73C2211yescharacteristic, complemented
218C22×C4⋊C4×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220C24×D73C2311yescharacteristic
221C2×#11924027—44no—
222C2×#11924027C2318yes—
223C22×Dic146—44no—
224C22×Dic146C2311yescharacteristic
225C22×Dic146C2311yescharacteristic
226C22×Dic146C2311yescharacteristic
227C22×Dic146C2311yescharacteristic
228C22×Dic146C2311yescharacteristic
229C22×Dic146C2311yescharacteristic
230C22×Dic146C2311yescharacteristic
231C22×Dic146C2318yescomplemented
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—44no—
242C2×D4×D73C2318yes—
243C23×Dic73C2311yescharacteristic
244C23×Dic73C2311yescharacteristic
245C23×Dic73C2311yescharacteristic
246C23×Dic73C2311yescharacteristic
247C23×Dic73C2311yescharacteristic
248C23×Dic73C2311yescharacteristic
249C22×C4×D73—44no—
250C22×C4×D73C2311yescharacteristic
251C22×C4×D73C2311yescharacteristic
252C22×C4×D73C2311yescharacteristic
253C22×C4×D73C2311yescharacteristic
254C22×C4×D73C2311yescharacteristic
255C22×C4×D73C2318yes—
256C22×C4×D73C2311yescharacteristic
257C22×C4×D73C2311yescharacteristic
258C22×C4×D73C2311yescharacteristic
259C22×C4×D73C2311yescharacteristic
260#14556590C2318yescomplemented
261#14556590C2318yescomplemented
262#14556589C2318yescomplemented
263#14556589C2318yescomplemented
264#14556589C2318yescomplemented
265#14556586C2318yescomplemented
266#14556586C2318yescomplemented
267#14556586C2318yescomplemented
268#14556586C2318yescomplemented
269#14556586C2318yescomplemented
270#14556585C2318yescomplemented
271#14556585C2318yescomplemented
272#14556584C2318yescomplemented
273#14556584C2318yescomplemented
274#14556584C2318yescomplemented
275#14556584C2318yescomplemented
276#14556584C2318yescomplemented
277#14556583C2318yescomplemented
278#14556582C2318yescomplemented
279#14556582C2318yescomplemented
280#14556581C2318yescomplemented
281#14556581C2318yescomplemented
282#14556581C2318yescomplemented
283#14556581C2318yescomplemented
284#14556581C2318yescomplemented
285#14556581C2318yescomplemented
286#14556581C2318yescomplemented
287#14556580C2318yes—
288#14556578C2318yescomplemented
289#14556578C2318yescomplemented
290#14556577C2318yes—
291#14556577C2318yescomplemented
292#14556577C2318yescomplemented
293#14556577C2318yescomplemented
294#14556577C2318yescomplemented
295#14556576C2318yes—
296#14556576C2318yes—
297#14556576C2318yes—
298#14556575C2318yes—
299#14556575C2318yescomplemented
300#14556574C2318yes—
301#14556574C2318yes—
302#14556574C2318yes—
303#14556574C2318yescomplemented
304#14556574C2318yescomplemented
305#14556574C2318yescomplemented
306#14556573C2318yes—
307#14556573C2318yes—
308#14556573C2318yes—
309#14556573C2318yes—
310#14556573C2318yescomplemented
311#14556572C2318yes—
312#14556572C2318yes—
313#14556572C2318yescomplemented
314#14556572C2318yescomplemented
315#14556572C2318yescomplemented
316#14556572C2318yescomplemented
317#14556572C2318yescomplemented
318#14556572C2318yescomplemented
319#14556571C2318yes—
320#14556571C2318yescomplemented
321#14556570C2318yescomplemented
322#14556570C2318yescomplemented
323#14556570C2318yescomplemented
324#14556570C2318yescomplemented
325#14556570C2318yescomplemented
326#14556570C2318yescomplemented
327#14556570C2318yescomplemented
328#14556569C2318yes—
329#14556569C2318yes—
330#14556569C2318yes—
331#14556569C2318yes—
332#14556569C2318yes—
333#14556569C2318yes—
334#14556569C2318yescomplemented
335#14556569C2318yescomplemented
336#14556569C2318yescomplemented
337#14556569C2318yescomplemented
338#14556569C2318yescomplemented
339#14556569C2318yescomplemented
340#14556569C2318yescomplemented
341#14556568C2318yescomplemented
342#14556568C2318yescomplemented
343#14556568C2318yescomplemented
344#14556568C2318yescomplemented
345#14556568C2318yescomplemented
346#14556568C2318yescomplemented
347#14556567C2318yes—
348#14556567C2318yes—
349#14556567C2318yescomplemented
350#14556567C2318yescomplemented
351#14556565C2318yes—
352#14556564C2318yes—
353#14556563C2318yes—
354#14556563C2318yes—
355#14556563C2318yes—
356#14556563C2318yescomplemented
357#14556562C2318yes—
358#14556562C2318yescomplemented
359#14556559C2318yes—
360#14556559C2318yes—
361#14556559C2318yes—
362#14556559C2318yes—
363#14556556C2318yescomplemented
364#14556556C2318yescomplemented
365D4×Dic73C2318yes—
366D4×Dic73C2318yescomplemented
367C4×C22⋊D73C2318yes—
368C4×C22⋊D73C2318yes—
369C4×C22⋊D73C2318yes—
370C4×C22⋊D73C2318yes—
371C4×C22⋊D73C2318yes—
372C4×C22⋊D73C2318yescomplemented
373C4×C22⋊D73C2318yescomplemented
374C4×C22⋊D73C2318yescomplemented
375#14556551C2318yes—
376#14556551C2318yes—
377#14556550C2318yescomplemented
378#14556550C2318yescomplemented
379#14556549C2318yes—
380#14556549C2318yescomplemented
381#14556548C2318yes—
382#14556547C2318yescomplemented
383#14556547C2318yescomplemented
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×#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×#11924007C2311yescharacteristic
415C2×#11924007C2311yescharacteristic
416C2×#11924007C2311yescharacteristic
417C2×#11924007C2311yescharacteristic
418C2×#11924007C2311yescharacteristic
419C2×#11924007C2311yescharacteristic
420C2×#11924007C2311yescharacteristic
421C2×#11924007C2311yescharacteristic
422C2×#11924007C2311yescharacteristic
423C2×#11924007C2311yescharacteristic
424C2×#11924007C2318yescomplemented
425C2×#11924007C2318yescomplemented
426C2×#11924007C2318yescomplemented
427C4⋊C4×D73C2318yes—
428C4⋊C4×D73C2318yes—
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×C22⋊Dic73C2311yescharacteristic
439C2×C22⋊Dic73C2311yescharacteristic
440C2×C22⋊Dic73C2311yescharacteristic
441C2×C22⋊Dic73C2311yescharacteristic
442C2×C22⋊Dic73C2311yescharacteristic
443C2×C22⋊Dic73C2311yescharacteristic
444C2×C22⋊Dic73C2311yescharacteristic
445C2×#11924005C2318yes—
446C2×#11924005C2318yes—
447C2×#11924005C2318yes—
448C2×#11924005C2311yescharacteristic
449C2×#11924005C2311yescharacteristic
450C2×#11924005C2311yescharacteristic
451C2×#11924005C2311yescharacteristic
452C2×#11924005C2311yescharacteristic
453C2×#11924005C2311yescharacteristic
454C2×#11924005C2311yescharacteristic
455C2×#11924005C2311yescharacteristic
456C2×#11924005C2311yescharacteristic
457C2×#11924005C2311yescharacteristic
458C2×#11924005C2311yescharacteristic
459C2×#11924005C2311yescharacteristic
460C2×#11924005C2311yescharacteristic
461C2×#11924005C2311yescharacteristic
462C2×#11924005C2311yescharacteristic
463C2×#11924005C2311yescharacteristic
464C2×#11924005C2311yescharacteristic
465C2×#11924005C2311yescharacteristic
466C2×#11924005C2311yescharacteristic
467C2×#11924005C2311yescharacteristic
468C2×#11924005C2311yescharacteristic
469C2×#11924005C2311yescharacteristic
470C22⋊C4×D73C2318yes—
471C22⋊C4×D73C2318yes—
472C22⋊C4×D73C2318yes—
473C22⋊C4×D73C2318yes—
474C2×C4×Dic73C2311yescharacteristic
475C2×C4×Dic73C2311yescharacteristic
476C2×C4×Dic73C2311yescharacteristic
477C2×C4×Dic73C2311yescharacteristic
478C2×C4×Dic73C2311yescharacteristic
479C2×C4×Dic73C2311yescharacteristic
480C2×C4×Dic73C2311yescharacteristic
481C2×C4×Dic73C2311yescharacteristic
482C2×C4×Dic73C2311yescharacteristic
483C2×#41×C73—44no—
484C2×#41×C73—44no—
485C2×#41×C73C2318yes—
486C2×#41×C73C2318yescomplemented
487C22×Q8×C73C2311yescharacteristic
488C22×Q8×C73C2311yescharacteristic
489C22×D4×C73C2311yescharacteristic
490C22×D4×C73C2311yescharacteristic
491C22×D4×C73C2311yescharacteristic
492C22×D4×C73C2311yescharacteristic
493C22×D4×C73C2311yescharacteristic
494C22×D4×C73C2311yescharacteristic
495C23×C4×C73C2311yescharacteristic
496C23×C4×C73C2311yescharacteristic
497C23×C4×C73C2311yescharacteristic
498C23×C4×C73C2311yescharacteristic
499C23×C4×C73C2311yescharacteristic
500C23×C4×C73C2311yescharacteristic
501C23×C4×C73C2311yescharacteristic
502C23×C4×C73C2311yescharacteristic
503C4⋊Q8×C73C2318yescomplemented
504#123×C73C2318yes—
505#123×C73C2318yescomplemented
506#123×C73C2318yescomplemented
507#123×C73C2318yescomplemented
508C22⋊Q8×C73C2318yescomplemented
509C22⋊Q8×C73C2318yescomplemented
510#121×C73C2318yes—
511#121×C73C2318yescomplemented
512C4×D4×C73C2318yescomplemented
513C4×D4×C73C2318yescomplemented
514C2×C4⋊C4×C73C2311yescharacteristic
515C2×C4⋊C4×C73C2311yescharacteristic
516C2×C4⋊C4×C73C2311yescharacteristic
517C2×C4⋊C4×C73C2311yescharacteristic
518C2×C4⋊C4×C73C2311yescharacteristic
519C2×C4⋊C4×C73C2311yescharacteristic
520C2×C4⋊C4×C73C2311yescharacteristic
521C2×C4⋊C4×C73C2311yescharacteristic
522C2×C4⋊C4×C73C2311yescharacteristic
523C2×C4⋊C4×C73C2311yescharacteristic
524C2×C4⋊C4×C73C2318yescomplemented
525C2×C4⋊C4×C73C2318yescomplemented
526C2×C22⋊C4×C73C2311yescharacteristic
527C2×C22⋊C4×C73C2311yescharacteristic
528C2×C22⋊C4×C73C2311yescharacteristic
529C2×C22⋊C4×C73C2311yescharacteristic
530C2×C22⋊C4×C73C2311yescharacteristic
531C2×C22⋊C4×C73C2311yescharacteristic
532C2×C22⋊C4×C73C2311yescharacteristic
533C2×C22⋊C4×C73C2311yescharacteristic
534C2×C42×C73C2311yescharacteristic
535C23×D73—24no—
536C23×D73—24no—
537C23×D73—24no—
538C23×D73—42no—
539C23×D73—42no—
540C23×D73—42no—
541C23×D73C2411yescharacteristic
542C23×D73C2411yescharacteristic
543C23×D73C2414yes—
544C23×D73C2411yescharacteristic
545C23×D73C2414yes—
546#11924027—416no—
547C2×Dic146—42no—
548C2×Dic146—42no—
549C2×Dic146—42no—
550C2×Dic146—42no—
551C2×Dic146—416no—
552C2×Dic146—42no—
553C2×Dic146—42no—
554C2×Dic146—42no—
555C2×Dic146C2414yes—
556C2×Dic146C2414yes—
557C2×Dic146C2414yes—
558C2×Dic146C2414yes—
559C2×Dic146C2414yes—
560C2×Dic146C2414yes—
561C2×Dic146C2414yes—
562C2×D292—42no—
563C2×D292C2414yes—
564C2×C22⋊D73—24no—
565C2×C22⋊D73—24no—
566C2×C22⋊D73—24no—
567C2×C22⋊D73—42no—
568C2×C22⋊D73—42no—
569C2×C22⋊D73—42no—
570C2×C22⋊D73—42no—
571C2×C22⋊D73—42no—
572C2×C22⋊D73C2414yes—
573C2×C22⋊D73C2414yes—
574C2×C22⋊D73C2414yes—
575C2×C22⋊D73C2414yes—
576C2×C22⋊D73C2414yes—
577C2×C22⋊D73C2414yes—
578C2×C22⋊D73C2414yes—
579C2×C22⋊D73C2414yes—
580D4×D73—416no—
581C22×Dic73—24no—
582C22×Dic73—24no—
583C22×Dic73—42no—
584C22×Dic73—42no—
585C22×Dic73—42no—
586C22×Dic73—42no—
587C22×Dic73C2411yescharacteristic
588C22×Dic73C2411yescharacteristic
589C22×Dic73C2411yescharacteristic
590C22×Dic73C2411yescharacteristic
591C22×Dic73C2411yescharacteristic
592C22×Dic73C2411yescharacteristic
593C22×Dic73C2411yescharacteristic
594C22×Dic73C2411yescharacteristic
595C22×Dic73C2411yescharacteristic
596C22×Dic73C2411yescharacteristic
597C22×Dic73C2411yescharacteristic
598C22×Dic73C2414yes—
599C22×Dic73C2411yescharacteristic
600C22×Dic73C2411yescharacteristic
601C22×Dic73C2414yes—
602C22×Dic73C2414yes—
603C22×Dic73C2414yes—
604C22×Dic73C2414yes—
605C22×Dic73C2414yes—
606C2×C4×D73—24no—
607C2×C4×D73—42no—
608C2×C4×D73—42no—
609C2×C4×D73—42no—
610C2×C4×D73—42no—
611C2×C4×D73—416no—
612C2×C4×D73—42no—
613C2×C4×D73—42no—
614C2×C4×D73—42no—
615C2×C4×D73—42no—
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—
625C4⋊Dic73C2414yes—
626C4⋊Dic73C2414yes—
627C4⋊Dic73C2414yes—
628C4⋊Dic73C2414yes—
629C4⋊Dic73C2414yes—
630C4⋊Dic73C2414yes—
631C4⋊Dic73C2414yes—
632C4⋊Dic73C2414yes—
633C4⋊Dic73C2414yes—
634C4⋊Dic73C2414yes—
635#11924007C2414yes—
636#11924007C2414yes—
637#11924007C2414yes—
638#11924007C2414yes—
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—
659#11924007C2414yes—
660#11924007C2414yes—
661#11924007C2414yes—
662#11924007C2414yes—
663#11924007C2414yes—
664#11924007C2414yes—
665C22⋊Dic73C2414yes—
666C22⋊Dic73C2414yes—
667C22⋊Dic73C2414yes—
668C22⋊Dic73C2414yes—
669C22⋊Dic73C2414yes—
670C22⋊Dic73C2414yes—
671C22⋊Dic73C2414yes—
672C22⋊Dic73C2414yes—
673C22⋊Dic73C2414yes—
674C22⋊Dic73C2414yes—
675C22⋊Dic73C2414yes—
676C22⋊Dic73C2414yes—
677C22⋊Dic73C2414yes—
678C22⋊Dic73C2414yes—
679C22⋊Dic73C2414yes—
680C22⋊Dic73C2414yes—
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—
695#11924005C2414yes—
696#11924005C2414yes—
697#11924005C2414yes—
698#11924005C2414yes—
699#11924005C2414yes—
700#11924005C2414yes—
701#11924005C2414yes—
702#11924005C2414yes—
703C4×Dic73C2414yes—
704C4×Dic73C2414yes—
705C4×Dic73C2414yes—
706C4×Dic73C2414yes—
707C4×Dic73C2414yes—
708C4×Dic73C2414yes—
709C4×Dic73C2414yes—
710C4×Dic73C2414yes—
711C4×Dic73C2414yes—
712C24×C73C2411yescharacteristic
713C24×C73C2411yescharacteristic
714C24×C73C2411yescharacteristic
715C24×C73C2411yescharacteristic
716#41×C73—416no—
717#41×C73—416no—
718C2×Q8×C73—42no—
719C2×Q8×C73—42no—
720C2×Q8×C73C2414yes—
721C2×Q8×C73C2414yes—
722C2×D4×C73—24no—
723C2×D4×C73—24no—
724C2×D4×C73—24no—
725C2×D4×C73—42no—
726C2×D4×C73—42no—
727C2×D4×C73—42no—
728C2×D4×C73C2414yes—
729C2×D4×C73C2414yes—
730C2×D4×C73C2414yes—
731C2×D4×C73C2414yes—
732C2×D4×C73C2414yes—
733C2×D4×C73C2414yes—
734C22×C4×C73—24no—
735C22×C4×C73—24no—
736C22×C4×C73—42no—
737C22×C4×C73—42no—
738C22×C4×C73—42no—
739C22×C4×C73—42no—
740C22×C4×C73—42no—
741C22×C4×C73—42no—
742C22×C4×C73C2411yescharacteristic
743C22×C4×C73C2411yescharacteristic
744C22×C4×C73C2411yescharacteristic
745C22×C4×C73C2411yescharacteristic
746C22×C4×C73C2411yescharacteristic
747C22×C4×C73C2411yescharacteristic
748C22×C4×C73C2411yescharacteristic
749C22×C4×C73C2411yescharacteristic
750C22×C4×C73C2411yescharacteristic
751C22×C4×C73C2411yescharacteristic
752C22×C4×C73C2411yescharacteristic
753C22×C4×C73C2414yes—
754C22×C4×C73C2414yes—
755C22×C4×C73C2414yes—
756C22×C4×C73C2414yes—
757C22×C4×C73C2414yes—
758C22×C4×C73C2414yes—
759C22×C4×C73C2414yes—
760C22×C4×C73C2414yes—
761C4⋊C4×C73C2414yes—
762C4⋊C4×C73C2414yes—
763C4⋊C4×C73C2414yes—
764C4⋊C4×C73C2414yes—
765C4⋊C4×C73C2414yes—
766C4⋊C4×C73C2414yes—
767C4⋊C4×C73C2414yes—
768C4⋊C4×C73C2414yes—
769C4⋊C4×C73C2414yes—
770C4⋊C4×C73C2414yes—
771C22⋊C4×C73C2414yes—
772C22⋊C4×C73C2414yes—
773C22⋊C4×C73C2414yes—
774C22⋊C4×C73C2414yes—
775C22⋊C4×C73C2414yes—
776C22⋊C4×C73C2414yes—
777C22⋊C4×C73C2414yes—
778C22⋊C4×C73C2414yes—
779C42×C73C2414yes—
780C23×C73—22no—
781C23×C73—22no—
782C23×C73—22no—
783C23×C73—22no—
784C23×C73—22no—
785C23×C73—22no—
786C23×C73—22no—
787C23×C73—22no—
788C23×C73—22no—
789C23×C73—22no—
790C23×C73—22no—
791C23×C73H(5,𝔽2)14yes—
792C23×C73C2512yes—
793C23×C73C2512yes—
794C23×C73C2512yes—
795C23×C73C2512yes—
796C23×C73C2511yescharacteristic
797C22×D73—22no—
798C22×D73—22no—
799C22×D73—28no—
800C22×D73—22no—
801C22×D73—22no—
802C22×D73—22no—
803C22×D73—22no—
804C22×D73—22no—
805C22×D73—22no—
806C22×D73—28no—
807C22×D73—28no—
808C22×D73—44no—
809C22×D73—44no—
810C22×D73—44no—
811C22×D73—416no—
812C22×D73—88no—
813C22×D732−1+414yes—
814C22×D73C2512yes—
815C22×D73C2512yes—
816C22×D73C2512yes—
817Q8×C73—44no—
818Q8×C73—44no—
819D4×C73—28no—
820D4×C73—28no—
821D4×C73—28no—
822D4×C73—44no—
823D4×C73—44no—
824D4×C73—44no—
825C2×C4×C73—22no—
826C2×C4×C73—22no—
827C2×C4×C73—22no—
828C2×C4×C73—22no—
829C2×C4×C73—28no—
830C2×C4×C73—28no—
831C2×C4×C73—22no—
832C2×C4×C73—22no—
833C2×C4×C73—22no—
834C2×C4×C73—22no—
835C2×C4×C73—22no—
836C2×C4×C73—22no—
837C2×C4×C73—22no—
838C2×C4×C73—44no—
839C2×C4×C73—44no—
840C2×C4×C73—44no—
841C2×C4×C73—44no—
842C2×C4×C73—44no—
843C2×C4×C73—44no—
844C2×C4×C73C2512yes—
845C2×C4×C73C2512yes—
846C2×C4×C73C2512yes—
847C2×C4×C73C2512yes—
848C2×C4×C73C2512yes—
849C2×C4×C73C2512yes—
850C2×C4×C73C2512yes—
851C2×C4×C73C2512yes—
852C2×C4×C73C2512yes—
853C2×C4×C73C2512yes—
854C2×C4×C73C2512yes—
855C22⋊D73—28no—
856C22⋊D73—28no—
857C22⋊D73—28no—
858C22⋊D73—44no—
859C22⋊D73—44no—
860C22⋊D73—44no—
861C22⋊D73—44no—
862C22⋊D73—44no—
863C2×Dic73—28no—
864C2×Dic73—22no—
865C2×Dic73—22no—
866C2×Dic73—22no—
867C2×Dic73—22no—
868C2×Dic73—22no—
869C2×Dic73—28no—
870C2×Dic73—22no—
871C2×Dic73—22no—
872C2×Dic73—22no—
873C2×Dic73—22no—
874C2×Dic73—22no—
875C2×Dic73—22no—
876C2×Dic73—22no—
877C2×Dic73—22no—
878C2×Dic73—44no—
879C2×Dic73—44no—
880C2×Dic73—44no—
881C2×Dic73—44no—
882C2×Dic73C2512yes—
883C2×Dic73C2512yes—
884C2×Dic73C2512yes—
885C2×Dic73C2512yes—
886C2×Dic73C2512yes—
887C2×Dic73C2512yes—
888C2×Dic73C2512yes—
889C2×Dic73C2512yes—
890C2×Dic73C2512yes—
891C2×Dic73C2512yes—
892C2×Dic73C2512yes—
893C2×Dic73C2512yes—
894C2×Dic73C2512yes—
895D292—44no—
896C4×D73—28no—
897C4×D73—44no—
898C4×D73—44no—
899C4×D73—44no—
900C4×D73—44no—
901C4×D73—44no—
902C4×D73—44no—
903C4×D73—44no—
904C4×D73—44no—
905Dic146—44no—
906Dic146—44no—
907Dic146—44no—
908Dic146—44no—
909Dic146—44no—
910Dic146—44no—
911Dic146—44no—
912C22×C73—22no—
913C22×C73—22no—
914C22×C73—28no—
915C22×C73—22no—
916C22×C73—22no—
917C22×C73—22no—
918C22×C73—22no—
919C22×C73—22no—
920C22×C73—22no—
921C22×C73—22no—
922C22×C73—22no—
923C22×C73—22no—
924C22×C73—44no—
925C22×C73—44no—
926C22×C73—44no—
927C22×C73C2×H(5,𝔽2)14yes—
928C22×C73C2×H(5,𝔽2)12yes—
929C22×C73C2×2−1+412yes—
930C22×C73#58512yes—
931C22×C73C2611yescharacteristic
932C2×D73—22no—
933C2×D73—22no—
934C2×D73—28no—
935C2×D73—22no—
936C2×D73—22no—
937C2×D73—22no—
938C2×D73—22no—
939C2×D73—22no—
940C2×D73—22no—
941C2×D73—416no—
942C2×D73—44no—
943C2×D73—44no—
944C2×D73—88no—
945C2×D73C2×2−1+414yes—
946C4×C73—22no—
947C4×C73—22no—
948C4×C73—22no—
949C4×C73—22no—
950C4×C73—22no—
951C4×C73—22no—
952C4×C73—22no—
953C4×C73—22no—
954C4×C73—22no—
955C4×C73—22no—
956C4×C73—22no—
957Dic73—22no—
958Dic73—22no—
959Dic73—22no—
960Dic73—22no—
961Dic73—22no—
962Dic73—22no—
963Dic73—22no—
964Dic73—22no—
965Dic73—22no—
966Dic73—22no—
967Dic73—22no—
968Dic73—22no—
969Dic73—22no—
970C2×#3535—731nomaximal, Sylow
971C2×C73—24no—
972C2×C73—42no—
973C2×C73—42no—
974C2×C73—42no—
975C2×C73#353514yescomplemented
976C2×C73C22×H(5,𝔽2)11yescharacteristic
977C2×C73C22×2−1+411yescharacteristic
978C2×C73C2×#58511yescharacteristic
979D73—24no—
980D73—42no—
981D73—42no—
982#3535—7332no—
983C2×#563—731no—
984C2×#563—731no—
985C2×#562—731no—
986C2×#562—731no—
987C2×#554—731no—
988C2×#554—731no—
989C2×#552—731no—
990C2×#552—731no—
991C2×#551—731no—
992C2×#551—731no—
993C2×#551—731no—
994C2×#551—731no—
995C2×#547—731no—
996C2×#547D7311yescharacteristic, complemented
997C2×#546—731no—
998C2×#546—731no—
999C2×#544—731no—
1000C2×#543—731no—
1001C2×#542—731no—
1002C2×#542—731no—
1003C2×#539—731no—
1004C2×#539—731no—
1005C2×#539—731no—
1006C2×#539—731no—
1007C2×#539—731no—
1008C2×#538—731no—
1009C2×#536—731no—
1010C2×#536—731no—
1011C2×#525—731no—
1012C22×#123—731no—
1013C22×C22⋊Q8—731no—
1014C73C2×#353511yescharacteristic, complemented, Sylow
1015C22×#41—731no—
1016C22×#41C2×D7311yescharacteristic
1017C22×#41C2×D7311yescharacteristic, complemented
1018C23×Q8—731no—
1019C23×D4—731no—
1020C24×C4—731no—
1021#563—7316no—
1022#563—7316no—
1023#562—7316no—
1024#562—7316no—
1025#554—7316no—
1026#554—7316no—
1027#552—7316no—
1028#552—7316no—
1029#551—7316no—
1030#551—7316no—
1031#551—7316no—
1032#551—7316no—
1033#547—7316no—
1034#547C2×D73116yescomplemented
1035#546—7316no—
1036#546—7316no—
1037#544—7316no—
1038#543—7316no—
1039#542—7316no—
1040#542—7316no—
1041#539—7316no—
1042#539—7316no—
1043#539—7316no—
1044#539—7316no—
1045#539—7316no—
1046#538—7316no—
1047#536—7316no—
1048#536—7316no—
1049C2×C4⋊Q8—731no—
1050C2×C4⋊Q8—731no—
1051C2×C4⋊Q8—731no—
1052C2×C4⋊Q8—731no—
1053C2×C4⋊Q8—731no—
1054C2×C4⋊Q8C2×D7311yescharacteristic, complemented
1055C2×#126—731no—
1056C2×#126—731no—
1057C2×#126—731no—
1058C2×#126—731no—
1059C2×#126—731no—
1060C2×#126—731no—
1061C2×#126—731no—
1062C2×#126—731no—
1063C2×#126—731no—
1064C2×#126—731no—
1065C2×#126—731no—
1066C2×#126—731no—
1067C2×#125—731no—
1068C2×#125—731no—
1069C2×#125—731no—
1070C2×#125—731no—
1071C2×#125—731no—
1072C2×#125—731no—
1073C2×#125—731no—
1074C2×#125—731no—
1075C2×#125—731no—
1076C2×#125—731no—
1077C2×#124—731no—
1078C2×#124—731no—
1079C2×#124—731no—
1080C2×#124—731no—
1081C2×#124—731no—
1082C2×#124—731no—
1083C2×#124—731no—
1084C2×#124—731no—
1085#525—7316no—
1086C2×#123—731no—
1087C2×#123—731no—
1088C2×#123—731no—
1089C2×#123—731no—
1090C2×#123—731no—
1091C2×#123—731no—
1092C2×#123—731no—
1093C2×#123—731no—
1094C2×#123—731no—
1095C2×#123—731no—
1096C2×#123—731no—
1097C2×#123—731no—
1098C2×#123—731no—
1099C2×#123—731no—
1100C2×#123—7316no—
1101C2×#123—731no—
1102C2×#123—731no—
1103C2×#123—731no—
1104C2×#123—731no—
1105C2×#123—731no—
1106C2×#123—731no—
1107C2×#123—731no—
1108C2×#123—731no—
1109C2×#123—731no—
1110C2×#123—731no—
1111C2×#123C2×D7311yescharacteristic
1112C2×#123C2×D7311yescharacteristic, complemented
1113C2×#123C2×D7311yescharacteristic, complemented
1114C2×#123C2×D7311yescharacteristic, complemented
1115C2×C22⋊Q8—731no—
1116C2×C22⋊Q8—731no—
1117C2×C22⋊Q8—731no—
1118C2×C22⋊Q8—731no—
1119C2×C22⋊Q8—731no—
1120C2×C22⋊Q8—731no—
1121C2×C22⋊Q8—731no—
1122C2×C22⋊Q8—731no—
1123C2×C22⋊Q8—731no—
1124C2×C22⋊Q8—731no—
1125C2×C22⋊Q8—731no—
1126C2×C22⋊Q8—731no—
1127C2×C22⋊Q8—731no—
1128C2×C22⋊Q8—731no—
1129C2×C22⋊Q8—731no—
1130C2×C22⋊Q8—731no—
1131C2×C22⋊Q8—731no—
1132C2×C22⋊Q8—731no—
1133C2×C22⋊Q8—731no—
1134C2×C22⋊Q8—731no—
1135C2×C22⋊Q8—731no—
1136C2×C22⋊Q8—731no—
1137C2×C22⋊Q8—731no—
1138C2×C22⋊Q8—731no—
1139C2×C22⋊Q8—731no—
1140C2×C22⋊Q8—731no—
1141C2×C22⋊Q8—7316no—
1142C2×C22⋊Q8—731no—
1143C2×C22⋊Q8—731no—
1144C2×C22⋊Q8—731no—
1145C2×C22⋊Q8—731no—
1146C2×C22⋊Q8—731no—
1147C2×C22⋊Q8—731no—
1148C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1149C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1150C2×#121—731no—
1151C2×#121—731no—
1152C2×#121—731no—
1153C2×#121—731no—
1154C2×#121—731no—
1155C2×#121—731no—
1156C2×#121—731no—
1157C2×#121—731no—
1158C2×#121C2×D7311yescharacteristic
1159C2×#121C2×D7311yescharacteristic, complemented
1160C2×#120—731no—
1161C2×#120—731no—
1162C2×#120—731no—
1163C2×#120—731no—
1164C2×C4×Q8—731no—
1165C2×C4×Q8—731no—
1166C2×C4×D4—731no—
1167C2×C4×D4—731no—
1168C2×C4×D4—731no—
1169C2×C4×D4—731no—
1170C2×C4×D4—731no—
1171C2×C4×D4—731no—
1172C2×C4×D4—731no—
1173C2×C4×D4—731no—
1174C2×C4×D4—731no—
1175C2×C4×D4—731no—
1176C2×C4×D4—731no—
1177C2×C4×D4—731no—
1178C2×C4×D4C2×D7311yescharacteristic, complemented
1179C2×C4×D4C2×D7311yescharacteristic, complemented
1180C2×#117—731no—
1181C2×#117—731no—
1182C2×#117—731no—
1183C2×#117—731no—
1184C2×#117—731no—
1185C2×#117—731no—
1186C2×#117—731no—
1187C22×C4⋊C4—731no—
1188C22×C4⋊C4—731no—
1189C22×C4⋊C4—731no—
1190C22×C4⋊C4—731no—
1191C22×C4⋊C4—731no—
1192C22×C4⋊C4C2×D7311yescharacteristic, complemented
1193C22×C4⋊C4C2×D7311yescharacteristic, complemented
1194C22×C22⋊C4—731no—
1195C22×C22⋊C4—731no—
1196C22×C22⋊C4—731no—
1197C22×C22⋊C4—731no—
1198C22×C22⋊C4—731no—
1199C22×C22⋊C4—731no—
1200C22×C22⋊C4—731no—
1201C25—731no—
1202C25—731no—
1203C2×#41—44no—
1204C2×#41—44no—
1205C2×#41—2924no—
1206C2×#41—738no—
1207C2×#41C22×D7318yes—
1208C2×#41C22×D7318yescomplemented
1209C22×Q8—2924no—
1210C22×Q8—731no—
1211C22×Q8—731no—
1212C22×Q8—731no—
1213C22×Q8—731no—
1214C22×Q8—731no—
1215C22×Q8—731no—
1216C22×Q8—731no—
1217C22×Q8—738no—
1218C22×Q8C22×D7311yescharacteristic
1219C22×Q8C22×D7311yescharacteristic
1220C22×D4—2924no—
1221C22×D4—731no—
1222C22×D4—731no—
1223C22×D4—731no—
1224C22×D4—731no—
1225C22×D4—731no—
1226C22×D4—738no—
1227C22×D4—731no—
1228C22×D4—731no—
1229C22×D4—731no—
1230C22×D4—731no—
1231C22×D4C22×D7311yescharacteristic
1232C22×D4C22×D7311yescharacteristic
1233C22×D4C22×D7311yescharacteristic
1234C22×D4C22×D7311yescharacteristic
1235C22×D4C22×D7311yescharacteristic
1236C22×D4C22×D7311yescharacteristic
1237C23×C4—2924no—
1238C23×C4—731no—
1239C23×C4—731no—
1240C23×C4—731no—
1241C23×C4—731no—
1242C23×C4—731no—
1243C23×C4—731no—
1244C23×C4—731no—
1245C23×C4—731no—
1246C23×C4—731no—
1247C23×C4—731no—
1248C23×C4—731no—
1249C23×C4—731no—
1250C23×C4—738no—
1251C23×C4—731no—
1252C23×C4—731no—
1253C23×C4—731no—
1254C23×C4C22×D7311yescharacteristic
1255C23×C4C22×D7311yescharacteristic
1256C23×C4C22×D7311yescharacteristic
1257C23×C4C22×D7311yescharacteristic
1258C23×C4C22×D7311yescharacteristic
1259C23×C4C22×D7311yescharacteristic
1260C23×C4C22×D7311yescharacteristic
1261C23×C4C22×D7311yescharacteristic
1262C4⋊Q8—738no—
1263C4⋊Q8—738no—
1264C4⋊Q8—738no—
1265C4⋊Q8—738no—
1266C4⋊Q8—738no—
1267C4⋊Q8C22×D7318yescomplemented
1268#126—738no—
1269#126—738no—
1270#126—738no—
1271#126—738no—
1272#126—738no—
1273#126—738no—
1274#126—738no—
1275#126—738no—
1276#126—738no—
1277#126—738no—
1278#126—738no—
1279#126—738no—
1280#125—738no—
1281#125—738no—
1282#125—738no—
1283#125—738no—
1284#125—738no—
1285#125—738no—
1286#125—738no—
1287#125—738no—
1288#125—738no—
1289#125—738no—
1290#124—738no—
1291#124—738no—
1292#124—738no—
1293#124—738no—
1294#124—738no—
1295#124—738no—
1296#124—738no—
1297#124—738no—
1298#123—738no—
1299#123—738no—
1300#123—738no—
1301#123—738no—
1302#123—738no—
1303#123—738no—
1304#123—738no—
1305#123—738no—
1306#123—738no—
1307#123—738no—
1308#123—738no—
1309#123—738no—
1310#123—738no—
1311#123—738no—
1312#123—738no—
1313#123—738no—
1314#123—738no—
1315#123—738no—
1316#123—738no—
1317#123—738no—
1318#123—738no—
1319#123—738no—
1320#123—738no—
1321#123—738no—
1322#123C22×D7318yes—
1323#123C22×D7318yescomplemented
1324#123C22×D7318yescomplemented
1325#123C22×D7318yescomplemented
1326C22⋊Q8—738no—
1327C22⋊Q8—738no—
1328C22⋊Q8—738no—
1329C22⋊Q8—738no—
1330C22⋊Q8—738no—
1331C22⋊Q8—738no—
1332C22⋊Q8—738no—
1333C22⋊Q8—738no—
1334C22⋊Q8—738no—
1335C22⋊Q8—738no—
1336C22⋊Q8—738no—
1337C22⋊Q8—738no—
1338C22⋊Q8—738no—
1339C22⋊Q8—738no—
1340C22⋊Q8—738no—
1341C22⋊Q8—738no—
1342C22⋊Q8—738no—
1343C22⋊Q8—738no—
1344C22⋊Q8—738no—
1345C22⋊Q8—738no—
1346C22⋊Q8—738no—
1347C22⋊Q8—738no—
1348C22⋊Q8—738no—
1349C22⋊Q8—738no—
1350C22⋊Q8—738no—
1351C22⋊Q8—738no—
1352C22⋊Q8—738no—
1353C22⋊Q8—738no—
1354C22⋊Q8—738no—
1355C22⋊Q8—738no—
1356C22⋊Q8—738no—
1357C22⋊Q8—738no—
1358C22⋊Q8C22×D7318yescomplemented
1359C22⋊Q8C22×D7318yescomplemented
1360#121—738no—
1361#121—738no—
1362#121—738no—
1363#121—738no—
1364#121—738no—
1365#121—738no—
1366#121—738no—
1367#121—738no—
1368#121C22×D7318yes—
1369#121C22×D7318yescomplemented
1370#120—738no—
1371#120—738no—
1372#120—738no—
1373#120—738no—
1374C4×Q8—738no—
1375C4×Q8—738no—
1376C4×D4—738no—
1377C4×D4—738no—
1378C4×D4—738no—
1379C4×D4—738no—
1380C4×D4—738no—
1381C4×D4—738no—
1382C4×D4—738no—
1383C4×D4—738no—
1384C4×D4—738no—
1385C4×D4—738no—
1386C4×D4—738no—
1387C4×D4—738no—
1388C4×D4C22×D7318yescomplemented
1389C4×D4C22×D7318yescomplemented
1390#117—738no—
1391#117—738no—
1392#117—738no—
1393#117—738no—
1394#117—738no—
1395#117—738no—
1396#117—738no—
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—731no—
1407C2×C4⋊C4—731no—
1408C2×C4⋊C4—731no—
1409C2×C4⋊C4—731no—
1410C2×C4⋊C4—738no—
1411C2×C4⋊C4—738no—
1412C2×C4⋊C4—731no—
1413C2×C4⋊C4—731no—
1414C2×C4⋊C4—731no—
1415C2×C4⋊C4—738no—
1416C2×C4⋊C4—731no—
1417C2×C4⋊C4—731no—
1418C2×C4⋊C4—731no—
1419C2×C4⋊C4—731no—
1420C2×C4⋊C4—731no—
1421C2×C4⋊C4—731no—
1422C2×C4⋊C4—731no—
1423C2×C4⋊C4—731no—
1424C2×C4⋊C4—731no—
1425C2×C4⋊C4—731no—
1426C2×C4⋊C4—731no—
1427C2×C4⋊C4—731no—
1428C2×C4⋊C4—731no—
1429C2×C4⋊C4—731no—
1430C2×C4⋊C4—731no—
1431C2×C4⋊C4—731no—
1432C2×C4⋊C4—731no—
1433C2×C4⋊C4—731no—
1434C2×C4⋊C4—731no—
1435C2×C4⋊C4—731no—
1436C2×C4⋊C4—731no—
1437C2×C4⋊C4—731no—
1438C2×C4⋊C4—731no—
1439C2×C4⋊C4—731no—
1440C2×C4⋊C4—738no—
1441C2×C4⋊C4—738no—
1442C2×C4⋊C4C22×D7311yescharacteristic
1443C2×C4⋊C4C22×D7311yescharacteristic
1444C2×C4⋊C4C22×D7311yescharacteristic
1445C2×C4⋊C4C22×D7311yescharacteristic
1446C2×C4⋊C4C22×D7311yescharacteristic
1447C2×C4⋊C4C22×D7311yescharacteristic
1448C2×C4⋊C4C22×D7311yescharacteristic
1449C2×C4⋊C4C22×D7311yescharacteristic
1450C2×C4⋊C4C22×D7311yescharacteristic
1451C2×C4⋊C4C22×D7311yescharacteristic
1452C2×C4⋊C4C22×D7318yescomplemented
1453C2×C4⋊C4C22×D7318yescomplemented
1454C2×C22⋊C4—731no—
1455C2×C22⋊C4—731no—
1456C2×C22⋊C4—731no—
1457C2×C22⋊C4—731no—
1458C2×C22⋊C4—731no—
1459C2×C22⋊C4—731no—
1460C2×C22⋊C4—731no—
1461C2×C22⋊C4—731no—
1462C2×C22⋊C4—731no—
1463C2×C22⋊C4—731no—
1464C2×C22⋊C4—731no—
1465C2×C22⋊C4—731no—
1466C2×C22⋊C4—731no—
1467C2×C22⋊C4—731no—
1468C2×C22⋊C4—731no—
1469C2×C22⋊C4—731no—
1470C2×C22⋊C4—731no—
1471C2×C22⋊C4—731no—
1472C2×C22⋊C4—731no—
1473C2×C22⋊C4—731no—
1474C2×C22⋊C4—731no—
1475C2×C22⋊C4—731no—
1476C2×C22⋊C4—731no—
1477C2×C22⋊C4—731no—
1478C2×C22⋊C4—731no—
1479C2×C22⋊C4—731no—
1480C2×C22⋊C4—731no—
1481C2×C22⋊C4—731no—
1482C2×C22⋊C4—731no—
1483C2×C22⋊C4—731no—
1484C2×C22⋊C4—731no—
1485C2×C22⋊C4—738no—
1486C2×C22⋊C4—738no—
1487C2×C22⋊C4—731no—
1488C2×C22⋊C4—731no—
1489C2×C22⋊C4—731no—
1490C2×C22⋊C4—738no—
1491C2×C22⋊C4—731no—
1492C2×C22⋊C4—731no—
1493C2×C22⋊C4—731no—
1494C2×C22⋊C4—731no—
1495C2×C22⋊C4—738no—
1496C2×C22⋊C4—738no—
1497C2×C22⋊C4—738no—
1498C2×C22⋊C4—738no—
1499C2×C22⋊C4C22×D7311yescharacteristic
1500C2×C22⋊C4C22×D7311yescharacteristic
1501C2×C22⋊C4C22×D7311yescharacteristic
1502C2×C22⋊C4C22×D7311yescharacteristic
1503C2×C22⋊C4C22×D7311yescharacteristic
1504C2×C22⋊C4C22×D7311yescharacteristic
1505C2×C22⋊C4C22×D7311yescharacteristic
1506C2×C22⋊C4C22×D7311yescharacteristic
1507C2×C42—731no—
1508C2×C42—731no—
1509C2×C42—731no—
1510C2×C42—731no—
1511C2×C42—731no—
1512C2×C42—731no—
1513C2×C42—731no—
1514C2×C42—731no—
1515C2×C42—731no—
1516C2×C42C22×D7311yescharacteristic
1517C24—2922no—
1518C24—2922no—
1519C24—2922no—
1520C24—734no—
1521C24—734no—
1522C24—731no—
1523C24—731no—
1524C24—731no—
1525C24—1464no—
1526C24—1464no—
1527C24—1464no—
1528C24C23×D7311yescharacteristic
1529C24C23×D7311yescharacteristic
1530C24C23×D7311yescharacteristic
1531C24C23×D7311yescharacteristic
1532#41—416no—
1533#41—416no—
1534#41—29216no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—2922no—
1538C2×Q8—2922no—
1539C2×Q8—2922no—
1540C2×Q8—2922no—
1541C2×Q8—29216no—
1542C2×Q8—2922no—
1543C2×Q8—2922no—
1544C2×Q8—2922no—
1545C2×Q8—734no—
1546C2×Q8—734no—
1547C2×Q8—734no—
1548C2×Q8—734no—
1549C2×Q8—734no—
1550C2×Q8—734no—
1551C2×Q8—734no—
1552C2×Q8C23×D7314yes—
1553C2×Q8C23×D7314yes—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—2922no—
1561C2×D4—29216no—
1562C2×D4—2922no—
1563C2×D4—2922no—
1564C2×D4—2922no—
1565C2×D4—2922no—
1566C2×D4—2922no—
1567C2×D4—734no—
1568C2×D4—734no—
1569C2×D4—734no—
1570C2×D4—734no—
1571C2×D4—734no—
1572C2×D4—734no—
1573C2×D4—734no—
1574C2×D4—734no—
1575C2×D4—734no—
1576C2×D4—1464no—
1577C2×D4—1464no—
1578C2×D4—1464no—
1579C2×D4C23×D7314yes—
1580C2×D4C23×D7314yes—
1581C2×D4C23×D7314yes—
1582C2×D4C23×D7314yes—
1583C2×D4C23×D7314yes—
1584C2×D4C23×D7314yes—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—2922no—
1594C22×C4—2922no—
1595C22×C4—2922no—
1596C22×C4—2922no—
1597C22×C4—29216no—
1598C22×C4—2922no—
1599C22×C4—2922no—
1600C22×C4—2922no—
1601C22×C4—2922no—
1602C22×C4—2922no—
1603C22×C4—2922no—
1604C22×C4—2922no—
1605C22×C4—2922no—
1606C22×C4—734no—
1607C22×C4—734no—
1608C22×C4—734no—
1609C22×C4—734no—
1610C22×C4—734no—
1611C22×C4—734no—
1612C22×C4—734no—
1613C22×C4—734no—
1614C22×C4—734no—
1615C22×C4—734no—
1616C22×C4—734no—
1617C22×C4—734no—
1618C22×C4—734no—
1619C22×C4—734no—
1620C22×C4—731no—
1621C22×C4—731no—
1622C22×C4—731no—
1623C22×C4—731no—
1624C22×C4—731no—
1625C22×C4—731no—
1626C22×C4—731no—
1627C22×C4—731no—
1628C22×C4—731no—
1629C22×C4—731no—
1630C22×C4—731no—
1631C22×C4—731no—
1632C22×C4—731no—
1633C22×C4—734no—
1634C22×C4—1464no—
1635C22×C4—1464no—
1636C22×C4—1464no—
1637C22×C4C23×D7314yes—
1638C22×C4C23×D7314yes—
1639C22×C4C23×D7311yescharacteristic
1640C22×C4C23×D7311yescharacteristic
1641C22×C4C23×D7311yescharacteristic
1642C22×C4C23×D7311yescharacteristic
1643C22×C4C23×D7311yescharacteristic
1644C22×C4C23×D7311yescharacteristic
1645C22×C4C23×D7311yescharacteristic
1646C22×C4C23×D7311yescharacteristic
1647C22×C4C23×D7311yescharacteristic
1648C22×C4C23×D7311yescharacteristic
1649C22×C4C23×D7311yescharacteristic
1650C22×C4C23×D7314yes—
1651C22×C4C23×D7314yes—
1652C22×C4C23×D7314yes—
1653C22×C4C23×D7314yes—
1654C22×C4C23×D7314yes—
1655C22×C4C23×D7314yes—
1656C4⋊C4—734no—
1657C4⋊C4—734no—
1658C4⋊C4—734no—
1659C4⋊C4—734no—
1660C4⋊C4—734no—
1661C4⋊C4—734no—
1662C4⋊C4—734no—
1663C4⋊C4—734no—
1664C4⋊C4—734no—
1665C4⋊C4—734no—
1666C4⋊C4—734no—
1667C4⋊C4—734no—
1668C4⋊C4—734no—
1669C4⋊C4—734no—
1670C4⋊C4—734no—
1671C4⋊C4—734no—
1672C4⋊C4—734no—
1673C4⋊C4—734no—
1674C4⋊C4—734no—
1675C4⋊C4—734no—
1676C4⋊C4—734no—
1677C4⋊C4—734no—
1678C4⋊C4—734no—
1679C4⋊C4—734no—
1680C4⋊C4—734no—
1681C4⋊C4—734no—
1682C4⋊C4—734no—
1683C4⋊C4—734no—
1684C4⋊C4—734no—
1685C4⋊C4—734no—
1686C4⋊C4—734no—
1687C4⋊C4—734no—
1688C4⋊C4—734no—
1689C4⋊C4—734no—
1690C4⋊C4—734no—
1691C4⋊C4—734no—
1692C4⋊C4—734no—
1693C4⋊C4—734no—
1694C4⋊C4—734no—
1695C4⋊C4—734no—
1696C4⋊C4C23×D7314yes—
1697C4⋊C4C23×D7314yes—
1698C4⋊C4C23×D7314yes—
1699C4⋊C4C23×D7314yes—
1700C4⋊C4C23×D7314yes—
1701C4⋊C4C23×D7314yes—
1702C4⋊C4C23×D7314yes—
1703C4⋊C4C23×D7314yes—
1704C4⋊C4C23×D7314yes—
1705C4⋊C4C23×D7314yes—
1706C22⋊C4—734no—
1707C22⋊C4—734no—
1708C22⋊C4—734no—
1709C22⋊C4—734no—
1710C22⋊C4—734no—
1711C22⋊C4—734no—
1712C22⋊C4—734no—
1713C22⋊C4—734no—
1714C22⋊C4—734no—
1715C22⋊C4—734no—
1716C22⋊C4—734no—
1717C22⋊C4—734no—
1718C22⋊C4—734no—
1719C22⋊C4—734no—
1720C22⋊C4—734no—
1721C22⋊C4—734no—
1722C22⋊C4—734no—
1723C22⋊C4—734no—
1724C22⋊C4—734no—
1725C22⋊C4—734no—
1726C22⋊C4—734no—
1727C22⋊C4—734no—
1728C22⋊C4—734no—
1729C22⋊C4—734no—
1730C22⋊C4—734no—
1731C22⋊C4—734no—
1732C22⋊C4—734no—
1733C22⋊C4—734no—
1734C22⋊C4—734no—
1735C22⋊C4—734no—
1736C22⋊C4—734no—
1737C22⋊C4—734no—
1738C22⋊C4—734no—
1739C22⋊C4—734no—
1740C22⋊C4—734no—
1741C22⋊C4—734no—
1742C22⋊C4—734no—
1743C22⋊C4—734no—
1744C22⋊C4C23×D7314yes—
1745C22⋊C4C23×D7314yes—
1746C22⋊C4C23×D7314yes—
1747C22⋊C4C23×D7314yes—
1748C22⋊C4C23×D7314yes—
1749C22⋊C4C23×D7314yes—
1750C22⋊C4C23×D7314yes—
1751C22⋊C4C23×D7314yes—
1752C42—734no—
1753C42—734no—
1754C42—734no—
1755C42—734no—
1756C42—734no—
1757C42—734no—
1758C42—734no—
1759C42—734no—
1760C42—734no—
1761C42C23×D7314yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—22no—
1773C23—29216no—
1774C23—2924no—
1775C23—2924no—
1776C23—2924no—
1777C23—5848no—
1778C23—734no—
1779C23—732no—
1780C23—732no—
1781C23—732no—
1782C23—1468no—
1783C23—1468no—
1784C23—1468no—
1785C23—1462no—
1786C23—1462no—
1787C23—1462no—
1788C23—1462no—
1789C23—1462no—
1790C23—1462no—
1791C23—1462no—
1792C23—1462no—
1793C23#1455663614yes—
1794C23C24×D7312yes—
1795C23C24×D7312yes—
1796C23C24×D7312yes—
1797C23C24×D7312yes—
1798C23C24×D7311yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—2924no—
1802Q8—2924no—
1803Q8—2924no—
1804Q8—2924no—
1805Q8—2924no—
1806Q8—2924no—
1807Q8—2924no—
1808D4—28no—
1809D4—28no—
1810D4—28no—
1811D4—44no—
1812D4—44no—
1813D4—44no—
1814D4—2924no—
1815D4—2924no—
1816D4—2924no—
1817D4—2924no—
1818D4—2924no—
1819D4—2924no—
1820D4—1468no—
1821D4—1468no—
1822D4—1468no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—28no—
1827C2×C4—22no—
1828C2×C4—28no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—2924no—
1843C2×C4—2924no—
1844C2×C4—2924no—
1845C2×C4—2924no—
1846C2×C4—2924no—
1847C2×C4—2924no—
1848C2×C4—2924no—
1849C2×C4—2924no—
1850C2×C4—2924no—
1851C2×C4—2924no—
1852C2×C4—2924no—
1853C2×C4—2924no—
1854C2×C4—732no—
1855C2×C4—732no—
1856C2×C4—732no—
1857C2×C4—732no—
1858C2×C4—732no—
1859C2×C4—732no—
1860C2×C4—732no—
1861C2×C4—732no—
1862C2×C4—732no—
1863C2×C4—732no—
1864C2×C4—732no—
1865C2×C4—732no—
1866C2×C4—732no—
1867C2×C4—1468no—
1868C2×C4—1468no—
1869C2×C4—1462no—
1870C2×C4—1462no—
1871C2×C4—1462no—
1872C2×C4—1462no—
1873C2×C4—1462no—
1874C2×C4—1468no—
1875C2×C4—1462no—
1876C2×C4—1462no—
1877C2×C4—1462no—
1878C2×C4—1462no—
1879C2×C4—1462no—
1880C2×C4—1462no—
1881C2×C4—1462no—
1882C2×C4—1462no—
1883C2×C4C24×D7312yes—
1884C2×C4C24×D7312yes—
1885C2×C4C24×D7312yes—
1886C2×C4C24×D7312yes—
1887C2×C4C24×D7312yes—
1888C2×C4C24×D7312yes—
1889C2×C4C24×D7312yes—
1890C2×C4C24×D7312yes—
1891C2×C4C24×D7312yes—
1892C2×C4C24×D7312yes—
1893C2×C4C24×D7312yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—44no—
1907C22—44no—
1908C22—44no—
1909C22—29216no—
1910C22—2924no—
1911C22—2924no—
1912C22—5848no—
1913C22—734no—
1914C22—1462no—
1915C22—1462no—
1916C22—1462no—
1917C22—1462no—
1918C22—1462no—
1919C22—1462no—
1920C22—1468no—
1921C22—1462no—
1922C22—1462no—
1923C22C2×#1455663614yes—
1924C22C2×#1455663612yes—
1925C222−1+4×D7312yes—
1926C22#1798942312yes—
1927C22C25×D7311yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—1462no—
1940C4—1462no—
1941C4—1462no—
1942C4—1462no—
1943C4—1462no—
1944C4—1462no—
1945C4—1462no—
1946C4—1462no—
1947C4—1462no—
1948C4—1462no—
1949C4—1462no—
1950C4—1462no—
1951C4—1462no—
1952C2—24no—
1953C2—42no—
1954C2—42no—
1955C2—42no—
1956C2—2922no—
1957C2—2922no—
1958C2—1464no—
1959C2#2262413214yesdirect product factor
1960C2C22×#1455663611yescharacteristic
1961C2C2×2−1+4×D7311yescharacteristic
1962C2C2×#1798942311yescharacteristic
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#547×C73C2
socleC23×C73C25
hypercenterC2×#547D73
hypocenterC73C2×#3535
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #22624132C2direct (N × H)
2. C2×#17989338C2semidirect
3. C2×#17989336C2semidirect
4. C2×#17989334C2semidirect
5. C2×#17989332C2semidirect
6. C2×#17989292C2semidirect
7. C2×#17989291C2semidirect
8. C2×#17989274C2semidirect
9. C2×#17989272C2semidirect
10. C2×#17989266C2semidirect
11. C2×#17989266C2semidirect
12. C2×#17989265C2semidirect
13. C2×#17989260C2semidirect
14. C2×#17989236C2semidirect
15. C2×#17989226C2semidirect
16. C2×#17989225C2semidirect
17. C2×#17989214C2semidirect
18. C2×#17989212C2semidirect
19. C2×#17989207C2semidirect
20. C2×#17989205C2semidirect
21. C2×#17989184C2semidirect
22. C2×#17989182C2semidirect
23. C2×#17989180C2semidirect
24. C2×#17989179C2semidirect
25. C2×#17989179C2semidirect
26. C2×#17989169C2semidirect
27. C2×#17989159C2semidirect
28. C2×#17989158C2semidirect
29. C2×#17989094C2semidirect
30. C2×#123×D73C2semidirect
31. C22×#14556569C2semidirect
32. C2×#547×C73C2semidirect
34. C23×Dic146C22semidirect
37. #17989338C22semidirect
38. #17989336C22semidirect
39. #17989334C22semidirect
40. #17989332C22semidirect
41. #17989292C22semidirect
42. #17989291C22semidirect
43. #17989274C22semidirect
44. #17989272C22semidirect
45. #17989266C22semidirect
46. #17989266C22semidirect
47. #17989265C22semidirect
48. #17989260C22semidirect
49. #17989236C22semidirect
50. #17989226C22semidirect
51. #17989225C22semidirect
52. #17989214C22semidirect
53. #17989212C22semidirect
54. #17989207C22semidirect
55. #17989205C22semidirect
56. #17989184C22semidirect
57. #17989182C22semidirect
58. #17989180C22semidirect
59. #17989179C22semidirect
60. #17989179C22semidirect
61. #17989169C22semidirect
62. #17989159C22semidirect
63. #17989158C22semidirect
64. C2×#14556590C22semidirect
65. C2×#14556590C22semidirect
66. C2×#14556589C22semidirect
67. C2×#14556589C22semidirect
68. C2×#14556589C22semidirect
69. C2×#14556586C22semidirect
70. C2×#14556586C22semidirect
71. C2×#14556586C22semidirect
72. C2×#14556586C22semidirect
73. C2×#14556586C22semidirect
74. C2×#14556585C22semidirect
75. C2×#14556585C22semidirect
76. C2×#14556584C22semidirect
77. C2×#14556584C22semidirect
78. C2×#14556584C22semidirect
79. C2×#14556584C22semidirect
80. C2×#14556584C22semidirect
81. C2×#14556583C22semidirect
82. C2×#14556582C22semidirect
83. C2×#14556582C22semidirect
84. C2×#14556581C22semidirect
85. C2×#14556581C22semidirect
86. C2×#14556581C22semidirect
87. C2×#14556581C22semidirect
88. C2×#14556581C22semidirect
89. C2×#14556581C22semidirect
90. C2×#14556581C22semidirect
92. C2×#14556578C22semidirect
93. C2×#14556578C22semidirect
95. C2×#14556577C22semidirect
96. C2×#14556577C22semidirect
97. C2×#14556577C22semidirect
98. C2×#14556577C22semidirect
99. #17989094C22semidirect
104. C2×#14556575C22semidirect
108. C2×#14556574C22semidirect
109. C2×#14556574C22semidirect
110. C2×#14556574C22semidirect
115. C2×#14556573C22semidirect
118. C2×#14556572C22semidirect
119. C2×#14556572C22semidirect
120. C2×#14556572C22semidirect
121. C2×#14556572C22semidirect
122. C2×#14556572C22semidirect
123. C2×#14556572C22semidirect
124. #123×D73C22semidirect
126. C2×#14556571C22semidirect
127. C2×#14556570C22semidirect
128. C2×#14556570C22semidirect
129. C2×#14556570C22semidirect
130. C2×#14556570C22semidirect
131. C2×#14556570C22semidirect
132. C2×#14556570C22semidirect
133. C2×#14556570C22semidirect
140. C2×#14556569C22semidirect
141. C2×#14556569C22semidirect
142. C2×#14556569C22semidirect
143. C2×#14556569C22semidirect
144. C2×#14556569C22semidirect
145. C2×#14556569C22semidirect
146. C2×#14556569C22semidirect
147. C2×#14556569C22semidirect
148. C2×#14556568C22semidirect
149. C2×#14556568C22semidirect
150. C2×#14556568C22semidirect
151. C2×#14556568C22semidirect
152. C2×#14556568C22semidirect
153. C2×#14556568C22semidirect
156. C2×#14556567C22semidirect
157. C2×#14556567C22semidirect
163. C2×#14556563C22semidirect
165. C2×#14556562C22semidirect
170. C2×#14556556C22semidirect
171. C2×#14556556C22semidirect
173. C2×D4×Dic73C22semidirect
179. C2×C4×C22⋊D73C22semidirect
180. C2×C4×C22⋊D73C22semidirect
181. C2×C4×C22⋊D73C22semidirect
184. C2×#14556550C22semidirect
185. C2×#14556550C22semidirect
187. C2×#14556549C22semidirect
189. C2×#14556547C22semidirect
190. C2×#14556547C22semidirect
191. C22×#11924007C22semidirect
192. C22×#11924007C22semidirect
193. C22×#11924007C22semidirect
204. C22×#41×C73C22semidirect
205. #547×C73C22semidirect
206. C2×C4⋊Q8×C73C22semidirect
208. C2×#123×C73C22semidirect
209. C2×#123×C73C22semidirect
210. C2×#123×C73C22semidirect
211. C2×C22⋊Q8×C73C22semidirect
212. C2×C22⋊Q8×C73C22semidirect
214. C2×#121×C73C22semidirect
215. C2×C4×D4×C73C22semidirect
216. C2×C4×D4×C73C22semidirect
217. C22×C4⋊C4×C73C22semidirect
218. C22×C4⋊C4×C73C22semidirect
231. C22×Dic146C23semidirect
260. #14556590C23semidirect
261. #14556590C23semidirect
262. #14556589C23semidirect
263. #14556589C23semidirect
264. #14556589C23semidirect
265. #14556586C23semidirect
266. #14556586C23semidirect
267. #14556586C23semidirect
268. #14556586C23semidirect
269. #14556586C23semidirect
270. #14556585C23semidirect
271. #14556585C23semidirect
272. #14556584C23semidirect
273. #14556584C23semidirect
274. #14556584C23semidirect
275. #14556584C23semidirect
276. #14556584C23semidirect
277. #14556583C23semidirect
278. #14556582C23semidirect
279. #14556582C23semidirect
280. #14556581C23semidirect
281. #14556581C23semidirect
282. #14556581C23semidirect
283. #14556581C23semidirect
284. #14556581C23semidirect
285. #14556581C23semidirect
286. #14556581C23semidirect
288. #14556578C23semidirect
289. #14556578C23semidirect
291. #14556577C23semidirect
292. #14556577C23semidirect
293. #14556577C23semidirect
294. #14556577C23semidirect
299. #14556575C23semidirect
303. #14556574C23semidirect
304. #14556574C23semidirect
305. #14556574C23semidirect
310. #14556573C23semidirect
313. #14556572C23semidirect
314. #14556572C23semidirect
315. #14556572C23semidirect
316. #14556572C23semidirect
317. #14556572C23semidirect
318. #14556572C23semidirect
320. #14556571C23semidirect
321. #14556570C23semidirect
322. #14556570C23semidirect
323. #14556570C23semidirect
324. #14556570C23semidirect
325. #14556570C23semidirect
326. #14556570C23semidirect
327. #14556570C23semidirect
334. #14556569C23semidirect
335. #14556569C23semidirect
336. #14556569C23semidirect
337. #14556569C23semidirect
338. #14556569C23semidirect
339. #14556569C23semidirect
340. #14556569C23semidirect
341. #14556568C23semidirect
342. #14556568C23semidirect
343. #14556568C23semidirect
344. #14556568C23semidirect
345. #14556568C23semidirect
346. #14556568C23semidirect
349. #14556567C23semidirect
350. #14556567C23semidirect
356. #14556563C23semidirect
358. #14556562C23semidirect
363. #14556556C23semidirect
364. #14556556C23semidirect
366. D4×Dic73C23semidirect
372. C4×C22⋊D73C23semidirect
373. C4×C22⋊D73C23semidirect
374. C4×C22⋊D73C23semidirect
377. #14556550C23semidirect
378. #14556550C23semidirect
380. #14556549C23semidirect
382. #14556547C23semidirect
383. #14556547C23semidirect
424. C2×#11924007C23semidirect
425. C2×#11924007C23semidirect
426. C2×#11924007C23semidirect
486. C2×#41×C73C23semidirect
503. C4⋊Q8×C73C23semidirect
505. #123×C73C23semidirect
506. #123×C73C23semidirect
507. #123×C73C23semidirect
508. C22⋊Q8×C73C23semidirect
509. C22⋊Q8×C73C23semidirect
511. #121×C73C23semidirect
512. C4×D4×C73C23semidirect
513. C4×D4×C73C23semidirect
524. C2×C4⋊C4×C73C23semidirect
525. C2×C4⋊C4×C73C23semidirect
975. C2×C73#3535semidirect
996. C2×#547D73semidirect
1014. C73C2×#3535semidirect
1017. C22×#41C2×D73semidirect
1034. #547C2×D73semidirect
1054. C2×C4⋊Q8C2×D73semidirect
1112. C2×#123C2×D73semidirect
1113. C2×#123C2×D73semidirect
1114. C2×#123C2×D73semidirect
1148. C2×C22⋊Q8C2×D73semidirect
1149. C2×C22⋊Q8C2×D73semidirect
1159. C2×#121C2×D73semidirect
1178. C2×C4×D4C2×D73semidirect
1179. C2×C4×D4C2×D73semidirect
1192. C22×C4⋊C4C2×D73semidirect
1193. C22×C4⋊C4C2×D73semidirect
1208. C2×#41C22×D73semidirect
1267. C4⋊Q8C22×D73semidirect
1323. #123C22×D73semidirect
1324. #123C22×D73semidirect
1325. #123C22×D73semidirect
1358. C22⋊Q8C22×D73semidirect
1359. C22⋊Q8C22×D73semidirect
1369. #121C22×D73semidirect
1388. C4×D4C22×D73semidirect
1389. C4×D4C22×D73semidirect
1452. C2×C4⋊C4C22×D73semidirect
1453. C2×C4⋊C4C22×D73semidirect
1959. C2#22624132direct (N × H)

Maximal subgroups

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

subgroupindex
#226241322
C2×#179893382
C2×#179893362
C2×#179893342
C2×#179893322
C2×#179892922
C2×#179892912
C2×#179892742
C2×#179892722
C2×#179892662
C2×#179892652
C2×#179892602
C2×#179892362
C2×#179892262
C2×#179892252
C2×#179892142
C2×#179892122
C2×#179892072
C2×#179892052
C2×#179891842
C2×#179891822
C2×#179891802
C2×#179891792
C2×#179891692
C2×#179891592
C2×#179891582
C2×#179890942
C2×#123×D732
C22×#145565692
C2×#547×C732
C2×#353573