Finite Group Databasebeta

← #33253902

Subgroups — #33253902

Order 18688.

3700 conjugacy classes of subgroups.

The subgroup lattice has 1944 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989133C211yesmaximal, characteristic, complemented
2C2×#17989096C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D73C211yesmaximal, characteristic, complemented
4#22614064C211yesmaximal, characteristic, complemented
5#22614056C211yesmaximal, characteristic, complemented
6#22613942C211yesmaximal, characteristic, complemented
7#22613934C211yesmaximal, characteristic, complemented
8#22613905C211yesmaximal, characteristic, complemented
9#22613897C211yesmaximal, characteristic, complemented
10#22613780C211yesmaximal, characteristic, complemented
11#22613695C211yesmaximal, characteristic, complemented
12#22613630C211yesmaximal, characteristic, complemented
13#22613566C211yesmaximal, characteristic, complemented
14#22613516C211yesmaximal, characteristic, complemented
15#22613473C211yesmaximal, characteristic, complemented
16#22613471C211yesmaximal, characteristic, complemented
17#22613442C211yesmaximal, characteristic, complemented
18#22613368C211yesmaximal, characteristic, complemented
19#22613284C211yesmaximal, characteristic, complemented
20#22613169C211yesmaximal, characteristic, complemented
21#22613167C211yesmaximal, characteristic, complemented
22#22613146C211yesmaximal, characteristic, complemented
23#22613144C211yesmaximal, characteristic, complemented
24C4×#14556587C211yesmaximal, characteristic, complemented
25C4×#14556563C211yesmaximal, characteristic, complemented
26C4×#14556563C211yesmaximal, characteristic, complemented
27C4×#14556560C211yesmaximal, characteristic, complemented
28C4×#14556559C211yesmaximal, characteristic, complemented
29#22612390C211yesmaximal, characteristic, complemented
30C4×D4×Dic73C211yesmaximal, characteristic, complemented
31C2×#525×C73C211yesmaximal, characteristic, complemented
32C22×#11924028C2211yescharacteristic, complemented
33C23×C22⋊D73C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic
35#17989133—28no—
36C2×#14556589C2211yescharacteristic, complemented
37C2×#14556587C2211yescharacteristic
38C2×#14556587C2211yescharacteristic
39C2×#14556580C2211yescharacteristic, complemented
40C2×#14556578C2211yescharacteristic, complemented
41#17989096—28no—
42C2×#14556576C2211yescharacteristic, complemented
43C2×#14556573C2211yescharacteristic, complemented
44C2×#14556569C2211yescharacteristic, complemented
45C2×#14556568C2211yescharacteristic
46C2×#14556564C2211yescharacteristic, complemented
47C2×#14556563C2211yescharacteristic
48C2×#14556563C2211yescharacteristic
49C2×#14556563C2211yescharacteristic
50C2×#14556563C2211yescharacteristic
51C2×#14556563C2211yescharacteristic, complemented
52C2×#14556563C2211yescharacteristic, complemented
53C2×#14556563C2211yescharacteristic, complemented
54C2×#14556561C2211yescharacteristic
55C2×#14556560C2211yescharacteristic
56C2×#14556559C2211yescharacteristic
57C2×#14556559C2211yescharacteristic
58C2×C4×D292C2211yescharacteristic, complemented
59C2×D4×Dic73C2211yescharacteristic
60C2×D4×Dic73C2211yescharacteristic
61C2×C4×C22⋊D73—28no—
62C2×C4×C22⋊D73C2211yescharacteristic
63C2×C4×C22⋊D73C2211yescharacteristic
64C2×C4×C22⋊D73C2211yescharacteristic
65C2×C4×C22⋊D73C2211yescharacteristic
66C2×C4×C22⋊D73C2211yescharacteristic
67C2×C4×C22⋊D73C2211yescharacteristic
68C2×C4×C22⋊D73C2211yescharacteristic
69C2×C4×C22⋊D73C2211yescharacteristic
70C2×C4×C22⋊D73C2211yescharacteristic
71C2×C4×C22⋊D73C2211yescharacteristic, complemented
72C2×C4×C22⋊D73C2211yescharacteristic, complemented
73C2×C4×C22⋊D73C2211yescharacteristic, complemented
74C2×C4×C22⋊D73C2211yescharacteristic, complemented
75C2×C4×C22⋊D73C2211yescharacteristic, complemented
76C2×C4×C22⋊D73C2211yescharacteristic, complemented
77C2×#14556548C2211yescharacteristic, complemented
78C22×#11924007C2211yescharacteristic
79C22×C22⋊Dic73C2211yescharacteristic
80C22×#11924005C2211yescharacteristic
81C22×C4×Dic73C2211yescharacteristic
82C22×C4×Dic73C2211yescharacteristic, complemented
83#17988518C2211yescharacteristic, complemented
84#17988517C2211yescharacteristic, complemented
85#17988513C2211yescharacteristic, complemented
86#17988512C2211yescharacteristic, complemented
87#17988510C2211yescharacteristic, complemented
88#17988510C2211yescharacteristic, complemented
89#17988509C2211yescharacteristic, complemented
90#17988509C2211yescharacteristic, complemented
91#17988507C2211yescharacteristic, complemented
92#17988506C2211yescharacteristic, complemented
93#17988504C2211yescharacteristic, complemented
94#17988504C2211yescharacteristic, complemented
95#17988503C2211yescharacteristic
96#17988503C2211yescharacteristic
97#17988503C2211yescharacteristic, complemented
98#17988503C2211yescharacteristic, complemented
99#17988502C2211yescharacteristic, complemented
100#17988502C2211yescharacteristic, complemented
101#17988501C2211yescharacteristic, complemented
102#17988501C2211yescharacteristic, complemented
103#17988501C2211yescharacteristic, complemented
104#17988501C2211yescharacteristic, complemented
105#17988499C2211yescharacteristic, complemented
106#17988498C2211yescharacteristic, complemented
107#17988496C2211yescharacteristic
108#17988496C2211yescharacteristic
109#17988495C2211yescharacteristic
110#17988495C2211yescharacteristic
111#17988495C2211yescharacteristic
112#17988495C2211yescharacteristic
113#17988495C2211yescharacteristic, complemented
114#17988495C2211yescharacteristic, complemented
115#17988490C2211yescharacteristic, complemented
116#17988488C2211yescharacteristic, complemented
117#17988487C2211yescharacteristic
118#17988487C2211yescharacteristic
119#17988487C2211yescharacteristic
120#17988487C2211yescharacteristic
121#17988487C2211yescharacteristic, complemented
122#17988487C2211yescharacteristic, complemented
123#17988487C2211yescharacteristic, complemented
124#17988487C2211yescharacteristic, complemented
125#17988482C2211yescharacteristic, complemented
126#17988482C2211yescharacteristic, complemented
127#17988482C2211yescharacteristic, complemented
128#17988482C2211yescharacteristic, complemented
129#17988481C2211yescharacteristic, complemented
130#17988481C2211yescharacteristic, complemented
131#17988481C2211yescharacteristic, complemented
132#17988481C2211yescharacteristic, complemented
133#17988477C2211yescharacteristic, complemented
134#17988477C2211yescharacteristic, complemented
135#17988477C2211yescharacteristic, complemented
136#17988477C2211yescharacteristic, complemented
137#17988467C2211yescharacteristic
138#17988467C2211yescharacteristic
139#17988467C2211yescharacteristic, complemented
140#17988466C2211yescharacteristic
141#17988466C2211yescharacteristic, complemented
142#17988466C2211yescharacteristic, complemented
143#17988464C2211yescharacteristic
144#17988464C2211yescharacteristic, complemented
145#17988463C2211yescharacteristic, complemented
146#17988463C2211yescharacteristic, complemented
147#17988460C2211yescharacteristic
148#17988460C2211yescharacteristic, complemented
149#17988460C2211yescharacteristic, complemented
150#17988459C2211yescharacteristic
151#17988458C2211yescharacteristic, complemented
152#17988458C2211yescharacteristic, complemented
153#17988456C2211yescharacteristic, complemented
154#17988445C2211yescharacteristic
155#17988445C2211yescharacteristic, complemented
156#17988443C2211yescharacteristic
157#17988442C2211yescharacteristic
158C4⋊C4×Dic73C2211yescharacteristic, complemented
159C4⋊C4×Dic73C2211yescharacteristic, complemented
160C4×#11924007C2211yescharacteristic, complemented
161C4×C4⋊Dic73C2211yescharacteristic, complemented
162C22⋊C4×Dic73C2211yescharacteristic
163C22⋊C4×Dic73C2211yescharacteristic
164C22⋊C4×Dic73C2211yescharacteristic, complemented
165C22⋊C4×Dic73C2211yescharacteristic, complemented
166C4×#11924005C2211yescharacteristic, complemented
167C4×#11924005C2211yescharacteristic, complemented
168C4×#11924005C2211yescharacteristic, complemented
169C4×C22⋊Dic73C2211yescharacteristic
170C4×C22⋊Dic73C2211yescharacteristic, complemented
171C4×C22⋊Dic73C2211yescharacteristic, complemented
172C4×C22⋊Dic73C2211yescharacteristic, complemented
173C4×C22⋊Dic73C2211yescharacteristic, complemented
174C42×Dic73C2211yescharacteristic, complemented
175C22×#41×C73C2211yescharacteristic, complemented
176C24×C4×C73C2211yescharacteristic
177#525×C73—28no—
178C2×#123×C73C2211yescharacteristic, complemented
179C2×#123×C73C2211yescharacteristic, complemented
180C2×C22⋊Q8×C73C2211yescharacteristic
181C2×C22⋊Q8×C73C2211yescharacteristic, complemented
182C2×#121×C73C2211yescharacteristic
183C2×#121×C73C2211yescharacteristic, complemented
184C2×#120×C73C2211yescharacteristic
185C2×#120×C73C2211yescharacteristic
186C2×C4×D4×C73C2211yescharacteristic
187C2×C4×D4×C73C2211yescharacteristic
188C2×C4×D4×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic, complemented
190C2×#117×C73C2211yescharacteristic, complemented
191C24×D73C2311yescharacteristic
192C2×#11924028—24no—
193C2×#11924028—24no—
194C2×#11924028—42no—
195C22×Dic146C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×C22⋊D73—24no—
199C22×C22⋊D73—24no—
200C22×C22⋊D73—24no—
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C22×C22⋊D73C2311yescharacteristic
205C22×C22⋊D73C2311yescharacteristic
206C22×C22⋊D73C2311yescharacteristic
207C22×C22⋊D73C2311yescharacteristic
208C22×C22⋊D73C2311yescharacteristic
209C22×C22⋊D73C2311yescharacteristic
210C22×C22⋊D73C2311yescharacteristic
211C22×C22⋊D73C2311yescharacteristic
212C22×C22⋊D73C2311yescharacteristic
213C22×C22⋊D73C2311yescharacteristic
214C23×Dic73C2311yescharacteristic
215C23×Dic73C2311yescharacteristic
216C23×Dic73C2311yescharacteristic
217C23×Dic73C2311yescharacteristic
218C23×Dic73C2311yescharacteristic
219C22×C4×D73—24no—
220C22×C4×D73—24no—
221C22×C4×D73—42no—
222C22×C4×D73C2311yescharacteristic
223C22×C4×D73C2311yescharacteristic
224C22×C4×D73C2311yescharacteristic
225C22×C4×D73C2311yescharacteristic
226C22×C4×D73C2311yescharacteristic
227#14556589—24no—
228#14556587—24no—
229#14556587—24no—
230#14556580—24no—
231#14556578—24no—
232#14556576—24no—
233#14556573—24no—
234#14556569—24no—
235#14556568—24no—
236#14556564—24no—
237#14556563—24no—
238#14556563—24no—
239#14556563—24no—
240#14556563—24no—
241#14556563—24no—
242#14556563—24no—
243#14556563—24no—
244#14556561—24no—
245#14556560—24no—
246#14556559—24no—
247#14556559—24no—
248C4×D292—24no—
249D4×Dic73—24no—
250D4×Dic73—24no—
251C4×C22⋊D73—24no—
252C4×C22⋊D73—24no—
253C4×C22⋊D73—24no—
254C4×C22⋊D73—24no—
255C4×C22⋊D73—24no—
256C4×C22⋊D73—24no—
257C4×C22⋊D73—24no—
258C4×C22⋊D73—24no—
259C4×C22⋊D73—24no—
260C4×C22⋊D73—24no—
261C4×C22⋊D73—24no—
262C4×C22⋊D73—24no—
263C4×C22⋊D73—42no—
264C4×C22⋊D73—42no—
265C4×C22⋊D73D418yescomplemented
266#14556548—24no—
267C2×C4⋊Dic73C2311yescharacteristic
268C2×C4⋊Dic73C2311yescharacteristic
269C2×C4⋊Dic73C2311yescharacteristic
270C2×#11924007—24no—
271C2×#11924007C2311yescharacteristic
272C2×#11924007C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×#11924007C2311yescharacteristic
275C2×#11924007C2311yescharacteristic
276C2×#11924007C2311yescharacteristic
277C2×#11924007C2311yescharacteristic
278C2×#11924007C2311yescharacteristic
279C2×#11924007C2311yescharacteristic
280C2×#11924007C2311yescharacteristic
281C2×#11924007C2311yescharacteristic
282C2×#11924007C2311yescharacteristic
283C2×#11924007C2311yescharacteristic
284C2×#11924007C2311yescharacteristic
285C2×#11924007C2311yescharacteristic
286C2×C22⋊Dic73—24no—
287C2×C22⋊Dic73C2311yescharacteristic
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic
291C2×C22⋊Dic73C2311yescharacteristic
292C2×C22⋊Dic73C2311yescharacteristic
293C2×C22⋊Dic73C2311yescharacteristic
294C2×C22⋊Dic73C2311yescharacteristic
295C2×C22⋊Dic73C2311yescharacteristic
296C2×C22⋊Dic73C2311yescharacteristic
297C2×C22⋊Dic73C2311yescharacteristic
298C2×C22⋊Dic73C2311yescharacteristic
299C2×C22⋊Dic73C2311yescharacteristic
300C2×C22⋊Dic73C2311yescharacteristic
301C2×C22⋊Dic73C2311yescharacteristic
302C2×C22⋊Dic73C2311yescharacteristic
303C2×C22⋊Dic73C2311yescharacteristic
304C2×C22⋊Dic73C2311yescharacteristic
305C2×C22⋊Dic73C2311yescharacteristic
306C2×C22⋊Dic73C2311yescharacteristic
307C2×C22⋊Dic73C2311yescharacteristic
308C2×#11924005—24no—
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C2×#11924005C2311yescharacteristic
315C2×#11924005C2311yescharacteristic
316C2×#11924005C2311yescharacteristic
317C2×#11924005C2311yescharacteristic
318C2×#11924005C2311yescharacteristic
319C2×#11924005C2311yescharacteristic
320C2×#11924005C2311yescharacteristic
321C2×#11924005C2311yescharacteristic
322C2×#11924005C2311yescharacteristic
323C2×#11924005C2311yescharacteristic
324C2×#11924005C2311yescharacteristic
325C2×#11924005C2311yescharacteristic
326C2×#11924005C2311yescharacteristic
327C2×#11924005C2311yescharacteristic
328C2×#11924005C2311yescharacteristic
329C2×#11924005C2311yescharacteristic
330C2×C4×Dic73—24no—
331C2×C4×Dic73—24no—
332C2×C4×Dic73C2311yescharacteristic
333C2×C4×Dic73C2311yescharacteristic
334C2×C4×Dic73C2311yescharacteristic
335C2×C4×Dic73C2311yescharacteristic
336C2×C4×Dic73C2311yescharacteristic
337C2×C4×Dic73C2311yescharacteristic
338C2×C4×Dic73C2311yescharacteristic
339C2×C4×Dic73C2311yescharacteristic
340C2×C4×Dic73C2311yescharacteristic
341C2×C4×Dic73C2311yescharacteristic
342C2×C4×Dic73C2311yescharacteristic
343C2×C4×Dic73C2311yescharacteristic
344C2×C4×Dic73C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353#14556498C2311yescharacteristic
354#14556498C2311yescharacteristic
355#14556498C2311yescharacteristic
356#14556498C2311yescharacteristic
357#14556498C2311yescharacteristic
358#14556498C2311yescharacteristic
359#14556498C2311yescharacteristic
360#14556498C2311yescharacteristic
361#14556498C2311yescharacteristic
362#14556498C2311yescharacteristic
363#14556498C2311yescharacteristic
364#14556498C2311yescharacteristic
365C25×C73C2311yescharacteristic
366C2×#41×C73—24no—
367C2×#41×C73—24no—
368C2×#41×C73—42no—
369C22×Q8×C73C2311yescharacteristic
370C22×D4×C73C2311yescharacteristic
371C22×D4×C73C2311yescharacteristic
372C22×D4×C73C2311yescharacteristic
373C22×D4×C73C2311yescharacteristic
374C22×D4×C73C2311yescharacteristic
375C22×D4×C73C2311yescharacteristic
376C22×D4×C73C2311yescharacteristic
377C23×C4×C73—24no—
378C23×C4×C73—24no—
379C23×C4×C73—42no—
380C23×C4×C73C2311yescharacteristic
381C23×C4×C73C2311yescharacteristic
382C23×C4×C73C2311yescharacteristic
383C23×C4×C73C2311yescharacteristic
384C23×C4×C73C2311yescharacteristic
385C23×C4×C73C2311yescharacteristic
386C23×C4×C73C2311yescharacteristic
387C23×C4×C73C2311yescharacteristic
388#123×C73—24no—
389#123×C73—24no—
390C22⋊Q8×C73—24no—
391C22⋊Q8×C73—24no—
392#121×C73—24no—
393#121×C73—24no—
394#120×C73—24no—
395#120×C73—24no—
396C4×D4×C73—24no—
397C4×D4×C73—24no—
398C4×D4×C73—24no—
399C4×D4×C73D418yescomplemented
400#117×C73—24no—
401C2×C4⋊C4×C73C2311yescharacteristic
402C2×C4⋊C4×C73C2311yescharacteristic
403C2×C4⋊C4×C73C2311yescharacteristic
404C2×C4⋊C4×C73C2311yescharacteristic
405C2×C4⋊C4×C73C2311yescharacteristic
406C2×C4⋊C4×C73C2311yescharacteristic
407C2×C22⋊C4×C73C2311yescharacteristic
408C2×C22⋊C4×C73C2311yescharacteristic
409C2×C22⋊C4×C73C2311yescharacteristic
410C2×C22⋊C4×C73C2311yescharacteristic
411C2×C22⋊C4×C73C2311yescharacteristic
412C2×C22⋊C4×C73C2311yescharacteristic
413C2×C22⋊C4×C73C2311yescharacteristic
414C2×C22⋊C4×C73C2311yescharacteristic
415C2×C22⋊C4×C73C2311yescharacteristic
416C2×C22⋊C4×C73C2311yescharacteristic
417C2×C42×C73C2311yescharacteristic
418C2×C42×C73C2311yescharacteristic
419C23×D73—22no—
420C23×D73—22no—
421C23×D73—22no—
422C23×D73—22no—
423C23×D73—22no—
424C23×D73—41no—
425C23×D73—41no—
426C23×D73C2411yescharacteristic
427C23×D73C2411yescharacteristic
428C23×D73C2411yescharacteristic
429#11924028—416no—
430C2×Dic146—22no—
431C2×Dic146—22no—
432C2×Dic146—41no—
433C2×D292—22no—
434C2×D292—22no—
435C2×D292—22no—
436C2×D292—22no—
437C2×D292—41no—
438C2×D292—41no—
439C2×C22⋊D73—232no—
440C2×C22⋊D73—22no—
441C2×C22⋊D73—22no—
442C2×C22⋊D73—22no—
443C2×C22⋊D73—22no—
444C2×C22⋊D73—22no—
445C2×C22⋊D73—22no—
446C2×C22⋊D73—22no—
447C2×C22⋊D73—22no—
448C2×C22⋊D73—22no—
449C2×C22⋊D73—22no—
450C2×C22⋊D73—22no—
451C2×C22⋊D73—22no—
452C2×C22⋊D73—22no—
453C2×C22⋊D73—22no—
454C2×C22⋊D73—22no—
455C2×C22⋊D73—22no—
456C2×C22⋊D73—22no—
457C2×C22⋊D73—22no—
458C2×C22⋊D73—22no—
459C2×C22⋊D73—22no—
460C2×C22⋊D73—22no—
461C2×C22⋊D73—22no—
462C2×C22⋊D73—22no—
463C2×C22⋊D73—22no—
464C2×C22⋊D73—22no—
465C2×C22⋊D73—22no—
466C2×C22⋊D73—22no—
467C2×C22⋊D73—22no—
468C2×C22⋊D73—22no—
469C2×C22⋊D73—22no—
470C2×C22⋊D73—41no—
471C2×C22⋊D73—41no—
472C2×C22⋊D73—41no—
473C2×C22⋊D73—41no—
474C2×C22⋊D73—41no—
475C2×C22⋊D73—41no—
476C2×C22⋊D73—41no—
477C2×C22⋊D73C2×D414yes—
478C2×C22⋊D73#4114yescomplemented
479C22×Dic73—22no—
480C22×Dic73—22no—
481C22×Dic73—22no—
482C22×Dic73—22no—
483C22×Dic73—22no—
484C22×Dic73—22no—
485C22×Dic73—22no—
486C22×Dic73—22no—
487C22×Dic73—22no—
488C22×Dic73—22no—
489C22×Dic73—22no—
490C22×Dic73—41no—
491C22×Dic73—41no—
492C22×Dic73—41no—
493C22×Dic73#4114yescomplemented
494C22×Dic73C2411yescharacteristic
495C22×Dic73C2411yescharacteristic
496C22×Dic73C2411yescharacteristic
497C22×Dic73C2411yescharacteristic
498C22×Dic73C2411yescharacteristic
499C22×Dic73C2411yescharacteristic
500C22×Dic73C2411yescharacteristic
501C22×Dic73C2411yescharacteristic
502C22×Dic73C2411yescharacteristic
503C22×Dic73C2411yescharacteristic
504C22×Dic73C2411yescharacteristic
505C22×Dic73C2411yescharacteristic
506C22×Dic73C2411yescharacteristic
507C2×C4×D73—22no—
508C2×C4×D73—22no—
509C2×C4×D73—22no—
510C2×C4×D73—22no—
511C2×C4×D73—22no—
512C2×C4×D73—22no—
513C2×C4×D73—22no—
514C2×C4×D73—22no—
515C2×C4×D73—22no—
516C2×C4×D73—22no—
517C2×C4×D73—22no—
518C2×C4×D73—22no—
519C2×C4×D73—416no—
520C2×C4×D73—41no—
521C2×C4×D73—41no—
522C2×C4×D73C2×D414yes—
523C4⋊Dic73—22no—
524C4⋊Dic73—22no—
525C4⋊Dic73—22no—
526#11924007—22no—
527#11924007—22no—
528#11924007—22no—
529#11924007—22no—
530#11924007—22no—
531#11924007—22no—
532#11924007—22no—
533#11924007—22no—
534#11924007—22no—
535#11924007—22no—
536#11924007—22no—
537#11924007—22no—
538#11924007—41no—
539#11924007—41no—
540#11924007C2×D414yes—
541C22⋊Dic73—22no—
542C22⋊Dic73—22no—
543C22⋊Dic73—22no—
544C22⋊Dic73—22no—
545C22⋊Dic73—22no—
546C22⋊Dic73—22no—
547C22⋊Dic73—22no—
548C22⋊Dic73—22no—
549C22⋊Dic73—22no—
550C22⋊Dic73—22no—
551C22⋊Dic73—22no—
552C22⋊Dic73—22no—
553C22⋊Dic73—22no—
554C22⋊Dic73—22no—
555C22⋊Dic73—22no—
556C22⋊Dic73—41no—
557C22⋊Dic73—41no—
558C22⋊Dic73—41no—
559C22⋊Dic73—41no—
560C22⋊Dic73C2×D414yes—
561C22⋊Dic73#4114yescomplemented
562#11924005—22no—
563#11924005—22no—
564#11924005—22no—
565#11924005—22no—
566#11924005—22no—
567#11924005—22no—
568#11924005—22no—
569#11924005—22no—
570#11924005—22no—
571#11924005—22no—
572#11924005—22no—
573#11924005—22no—
574#11924005—22no—
575#11924005—22no—
576#11924005—22no—
577#11924005—22no—
578#11924005—41no—
579#11924005—41no—
580#11924005—41no—
581#11924005—41no—
582#11924005C2×D414yes—
583C4×Dic73—22no—
584C4×Dic73—22no—
585C4×Dic73—22no—
586C4×Dic73—22no—
587C4×Dic73—22no—
588C4×Dic73—22no—
589C4×Dic73—22no—
590C4×Dic73—22no—
591C4×Dic73—22no—
592C4×Dic73—22no—
593C4×Dic73—22no—
594C4×Dic73—41no—
595C4×Dic73C2×D414yes—
596C24×C73—22no—
597C24×C73—22no—
598C24×C73—22no—
599C24×C73—22no—
600C24×C73—22no—
601C24×C73—41no—
602C24×C73—41no—
603C24×C73C2411yescharacteristic
604C24×C73C2411yescharacteristic
605C24×C73C2411yescharacteristic
606C24×C73C2411yescharacteristic
607C24×C73C2411yescharacteristic
608#41×C73—416no—
609C2×Q8×C73—22no—
610C2×Q8×C73—22no—
611C2×Q8×C73—41no—
612C2×D4×C73—22no—
613C2×D4×C73—22no—
614C2×D4×C73—22no—
615C2×D4×C73—22no—
616C2×D4×C73—22no—
617C2×D4×C73—22no—
618C2×D4×C73—22no—
619C2×D4×C73—22no—
620C2×D4×C73—22no—
621C2×D4×C73—22no—
622C2×D4×C73—22no—
623C2×D4×C73—22no—
624C2×D4×C73—22no—
625C2×D4×C73—22no—
626C2×D4×C73—22no—
627C2×D4×C73—41no—
628C2×D4×C73—41no—
629C2×D4×C73—41no—
630C2×D4×C73—41no—
631C2×D4×C73—41no—
632C2×D4×C73C2×D414yes—
633C22×C4×C73—22no—
634C22×C4×C73—22no—
635C22×C4×C73—22no—
636C22×C4×C73—22no—
637C22×C4×C73—22no—
638C22×C4×C73—22no—
639C22×C4×C73—22no—
640C22×C4×C73—22no—
641C22×C4×C73—22no—
642C22×C4×C73—22no—
643C22×C4×C73—22no—
644C22×C4×C73—22no—
645C22×C4×C73—22no—
646C22×C4×C73—22no—
647C22×C4×C73—22no—
648C22×C4×C73—22no—
649C22×C4×C73—22no—
650C22×C4×C73—22no—
651C22×C4×C73—41no—
652C22×C4×C73—41no—
653C22×C4×C73—41no—
654C22×C4×C73—416no—
655C22×C4×C73C2×D414yes—
656C22×C4×C73C2×D414yes—
657C22×C4×C73C2×D414yescomplemented
658C22×C4×C73C2411yescharacteristic
659C22×C4×C73C2411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661C22×C4×C73C2411yescharacteristic
662C22×C4×C73C2411yescharacteristic
663C22×C4×C73C2411yescharacteristic
664C22×C4×C73C2411yescharacteristic
665C22×C4×C73C2411yescharacteristic
666C22×C4×C73C2411yescharacteristic
667C22×C4×C73C2411yescharacteristic
668C4⋊C4×C73—22no—
669C4⋊C4×C73—22no—
670C4⋊C4×C73—22no—
671C4⋊C4×C73—22no—
672C4⋊C4×C73—22no—
673C4⋊C4×C73C2×D414yescomplemented
674C22⋊C4×C73—22no—
675C22⋊C4×C73—22no—
676C22⋊C4×C73—22no—
677C22⋊C4×C73—22no—
678C22⋊C4×C73—22no—
679C22⋊C4×C73—22no—
680C22⋊C4×C73—22no—
681C22⋊C4×C73—22no—
682C22⋊C4×C73C2×D414yes—
683C22⋊C4×C73C2×D414yescomplemented
684C42×C73—22no—
685C42×C73C2×D414yescomplemented
686C23×C73—21no—
687C23×C73—21no—
688C23×C73—21no—
689C23×C73—21no—
690C23×C73—28no—
691C23×C73—21no—
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—21no—
698C23×C73—21no—
699C23×C73—21no—
700C23×C73—21no—
701C23×C73—21no—
702C23×C73—21no—
703C23×C73—21no—
704C23×C73—21no—
705C23×C73—21no—
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—21no—
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C23×C73—44no—
717C23×C73—44no—
718C23×C73—44no—
719C23×C73—44no—
720C23×C73—44no—
721C23×C73—44no—
722C23×C73C22×D412yes—
723C23×C73C22×D412yes—
724C23×C73C22×D412yes—
725C23×C73C2×#4112yes—
726C23×C73C2×#4112yes—
727C23×C73C2×#4112yes—
728C23×C73C2511yescharacteristic
729C22×D73—28no—
730C22×D73—21no—
731C22×D73—21no—
732C22×D73—21no—
733C22×D73—21no—
734C22×D73—21no—
735C22×D73—21no—
736C22×D73—21no—
737C22×D73—21no—
738C22×D73—21no—
739C22×D73—21no—
740C22×D73—21no—
741C22×D73—21no—
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—21no—
747C22×D73—21no—
748C22×D73—21no—
749C22×D73—44no—
750C22×D73—44no—
751C22×D73—44no—
752C22×D73—44no—
753C22×D73—44no—
754C22×D73—44no—
755C22×D73C22×D412yes—
756C22×D73C2×#4112yes—
757Q8×C73—44no—
758D4×C73—28no—
759D4×C73—44no—
760D4×C73—44no—
761D4×C73—44no—
762D4×C73—44no—
763D4×C73—44no—
764D4×C73—44no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—28no—
776C2×C4×C73—28no—
777C2×C4×C73—28no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—44no—
791C2×C4×C73—44no—
792C2×C4×C73—44no—
793C2×C4×C73—44no—
794C2×C4×C73—44no—
795C2×C4×C73C22×D412yes—
796C2×C4×C73C22×D412yes—
797C2×C4×C73C22×D412yes—
798C2×C4×C73C22×D412yes—
799C2×C4×C73C22×D412yes—
800C2×C4×C73C22×D412yes—
801C2×C4×C73C22×D412yes—
802C2×C4×C73H(5,𝔽2)12yes—
803C22⋊D73—28no—
804C22⋊D73—28no—
805C22⋊D73—28no—
806C22⋊D73—28no—
807C22⋊D73—44no—
808C22⋊D73—44no—
809C22⋊D73—44no—
810C22⋊D73—44no—
811C22⋊D73—44no—
812C22⋊D73—44no—
813C22⋊D73—44no—
814C22⋊D73—44no—
815C22⋊D73—44no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—21no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—28no—
827C2×Dic73—21no—
828C2×Dic73—21no—
829C2×Dic73—21no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—21no—
834C2×Dic73—21no—
835C2×Dic73—21no—
836C2×Dic73—21no—
837C2×Dic73—21no—
838C2×Dic73—21no—
839C2×Dic73—21no—
840C2×Dic73—21no—
841C2×Dic73—21no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—21no—
845C2×Dic73—21no—
846C2×Dic73—21no—
847C2×Dic73—21no—
848C2×Dic73—44no—
849C2×Dic73—44no—
850C2×Dic73—44no—
851C2×Dic73—44no—
852C2×Dic73C22×D412yes—
853C2×Dic73C22×D412yes—
854C2×Dic73C22×D412yes—
855C2×Dic73C2×#4112yes—
856C2×Dic73C2×#4112yes—
857C2×Dic73C2×#4112yes—
858C2×Dic73C2×#4112yes—
859C2×Dic73C2×#4112yes—
860D292—44no—
861D292—44no—
862C4×D73—28no—
863C4×D73—44no—
864C4×D73—44no—
865C4×D73—44no—
866C4×D73—44no—
867Dic146—44no—
868C22×C73—22no—
869C22×C73—22no—
870C22×C73—22no—
871C22×C73—22no—
872C22×C73—22no—
873C22×C73—22no—
874C22×C73—22no—
875C22×C73—22no—
876C22×C73—22no—
877C22×C73—22no—
878C22×C73—22no—
879C22×C73—22no—
880C22×C73—22no—
881C22×C73—22no—
882C22×C73—22no—
883C22×C73—416no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73#53214yescomplemented
904C22×C73C23×D411yescharacteristic
905C22×C73C23×D411yescharacteristic
906C22×C73C22×#4111yescharacteristic
907C22×C73C22×#4111yescharacteristic
908C22×C73C22×#4111yescharacteristic
909C22×C73C2×H(5,𝔽2)11yescharacteristic
910C22×C73#58511yescharacteristic
911C2×D73—22no—
912C2×D73—22no—
913C2×D73—22no—
914C2×D73—22no—
915C2×D73—22no—
916C2×D73—22no—
917C2×D73—416no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—41no—
921C2×D73—41no—
922C2×D73—41no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—41no—
933C4×C73—22no—
934C4×C73—22no—
935C4×C73—22no—
936C4×C73—22no—
937C4×C73—22no—
938C4×C73—41no—
939C4×C73—41no—
940C4×C73—41no—
941C4×C73—41no—
942C4×C73D4214yes—
943Dic73—22no—
944Dic73—22no—
945Dic73—22no—
946Dic73—22no—
947Dic73—22no—
948Dic73—41no—
949Dic73—41no—
950Dic73—41no—
951Dic73—41no—
952Dic73—41no—
953Dic73—41no—
954Dic73—41no—
955Dic73#52514yescomplemented
956#34681—731nomaximal, Sylow
957C2×C73—24no—
958C2×C73—42no—
959C2×C73—42no—
960C2×C73—42no—
961C2×C73—81no—
962C2×C73C2×#52511yescharacteristic
963C2×C73C2×#53211yescharacteristic
964C2×C73#346011yescharacteristic
965C2×C73C2×D4211yescharacteristic
966C2×C73D4×#4111yescharacteristic
967C2×C73D4×#4111yescharacteristic
968C2×C73#348111yescharacteristic
969D73—42no—
970D73—42no—
971D73—81no—
972C2×#532—731no—
973C2×#525—731no—
974C2×#525D7311yescharacteristic, complemented
975C22×C4×D4—731no—
976#2472—731no—
977#2472—731no—
978#2464—731no—
979#2464—731no—
980#2461—731no—
981#2461—731no—
982#2452—731no—
983#2445—731no—
984#2440—731no—
985#2433—731no—
986#2428—731no—
987#2424—731no—
988#2424—731no—
989#2422—731no—
990#2416—731no—
991#2408—731no—
992#2392—731no—
993#2392—731no—
994#2388—731no—
995#2388—731no—
996C4×#127—731no—
997C4×#121—731no—
998C4×#121—731no—
999C4×#120—731no—
1000C4×#120—731no—
1001#2293—731no—
1002C42×D4—731no—
1003C73#3468111yescharacteristic, complemented, Sylow
1004C22×#41—731no—
1005C22×#41C2×D7311yescharacteristic, complemented
1006C23×D4—731no—
1007C24×C4—731no—
1008C24×C4C2×D7311yescharacteristic
1009#532—1468no—
1010C2×C4⋊Q8—731no—
1011C2×#127—731no—
1012C2×#127—731no—
1013C2×#124—731no—
1014C2×#124—731no—
1015#525—28no—
1016#525—1468no—
1017C2×#123—731no—
1018C2×#123—731no—
1019C2×#123C2×D7311yescharacteristic, complemented
1020C2×#123C2×D7311yescharacteristic, complemented
1021C2×C22⋊Q8—731no—
1022C2×C22⋊Q8—731no—
1023C2×C22⋊Q8C2×D7311yescharacteristic
1024C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1025C2×#121—731no—
1026C2×#121—731no—
1027C2×#121—731no—
1028C2×#121—731no—
1029C2×#121—731no—
1030C2×#121—731no—
1031C2×#121—731no—
1032C2×#121—731no—
1033C2×#121C2×D7311yescharacteristic
1034C2×#121C2×D7311yescharacteristic, complemented
1035C2×#120—731no—
1036C2×#120—731no—
1037C2×#120—731no—
1038C2×#120—731no—
1039C2×#120C2×D7311yescharacteristic
1040C2×#120C2×D7311yescharacteristic
1041C2×C4×D4—731no—
1042C2×C4×D4—731no—
1043C2×C4×D4—731no—
1044C2×C4×D4—731no—
1045C2×C4×D4—731no—
1046C2×C4×D4—731no—
1047C2×C4×D4—731no—
1048C2×C4×D4—731no—
1049C2×C4×D4—731no—
1050C2×C4×D4—731no—
1051C2×C4×D4—731no—
1052C2×C4×D4—731no—
1053C2×C4×D4—731no—
1054C2×C4×D4—731no—
1055C2×C4×D4—731no—
1056C2×C4×D4—731no—
1057C2×C4×D4—731no—
1058C2×C4×D4—731no—
1059C2×C4×D4—1468no—
1060C2×C4×D4C2×D7311yescharacteristic
1061C2×C4×D4C2×D7311yescharacteristic
1062C2×C4×D4C2×D7311yescharacteristic, complemented
1063C2×C4×D4C2×D7311yescharacteristic, complemented
1064C2×#117—731no—
1065C2×#117C2×D7311yescharacteristic, complemented
1066C22×C4⋊C4—731no—
1067C22×C22⋊C4—731no—
1068C22×C22⋊C4—731no—
1069C22×C42—731no—
1070C22×C42—731no—
1071#398—731no—
1072#398—731no—
1073#397—731no—
1074#397—731no—
1075#396—731no—
1076#396—731no—
1077#396—731no—
1078#396—731no—
1079#395—731no—
1080#395—731no—
1081#394—731no—
1082#394—731no—
1083#394—731no—
1084#394—731no—
1085#394—731no—
1086#394—731no—
1087#394—731no—
1088#394—731no—
1089#394—731no—
1090#394—731no—
1091#394—731no—
1092#394—731no—
1093#393—731no—
1094#393—731no—
1095#392—731no—
1096#392—731no—
1097#392—731no—
1098#392—731no—
1099#392—731no—
1100#392—731no—
1101#392—731no—
1102#392—731no—
1103#390—731no—
1104#390—731no—
1105#390—731no—
1106#390—731no—
1107#390—731no—
1108#390—731no—
1109#390—731no—
1110#390—731no—
1111#390—731no—
1112#390—731no—
1113#389—731no—
1114#389—731no—
1115#389—731no—
1116#389—731no—
1117#388—731no—
1118#388—731no—
1119#388—731no—
1120#388—731no—
1121#388—731no—
1122#388—731no—
1123#388—731no—
1124#388—731no—
1125#386—731no—
1126#386—731no—
1127#386—731no—
1128#386—731no—
1129#386—731no—
1130#386—731no—
1131#386—731no—
1132#386—731no—
1133#386—731no—
1134#386—731no—
1135#385—731no—
1136#385—731no—
1137#385—731no—
1138#385—731no—
1139#385—731no—
1140#385—731no—
1141#384—731no—
1142#380—731no—
1143#380—731no—
1144#379—731no—
1145#379—731no—
1146C4×C4⋊C4—731no—
1147C4×C4⋊C4—731no—
1148C4×C4⋊C4—731no—
1149C4×C4⋊C4—731no—
1150C4×C22⋊C4—731no—
1151C4×C22⋊C4—731no—
1152C4×C22⋊C4—731no—
1153C4×C22⋊C4—731no—
1154C4×C22⋊C4—731no—
1155C4×C22⋊C4—731no—
1156C4×C22⋊C4—731no—
1157C4×C22⋊C4—731no—
1158C4×C22⋊C4—731no—
1159C4×C22⋊C4—731no—
1160C4×C22⋊C4—731no—
1161C4×C22⋊C4—731no—
1162C43—731no—
1163C25—731no—
1164C25C22×D7311yescharacteristic
1165C2×#41—24no—
1166C2×#41—24no—
1167C2×#41—42no—
1168C2×#41—2922no—
1169C2×#41—1464no—
1170C2×#41—1464no—
1171C22×Q8—731no—
1172C22×Q8C22×D7311yescharacteristic
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—731no—
1178C22×D4—731no—
1179C22×D4—731no—
1180C22×D4—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—731no—
1184C22×D4—731no—
1185C22×D4—731no—
1186C22×D4—731no—
1187C22×D4—731no—
1188C22×D4—1464no—
1189C22×D4—1464no—
1190C22×D4—1464no—
1191C22×D4C22×D7311yescharacteristic
1192C22×D4C22×D7311yescharacteristic
1193C22×D4C22×D7311yescharacteristic
1194C22×D4C22×D7311yescharacteristic
1195C22×D4C22×D7311yescharacteristic
1196C22×D4C22×D7311yescharacteristic
1197C22×D4C22×D7311yescharacteristic
1198C23×C4—24no—
1199C23×C4—24no—
1200C23×C4—42no—
1201C23×C4—2922no—
1202C23×C4—731no—
1203C23×C4—731no—
1204C23×C4—731no—
1205C23×C4—731no—
1206C23×C4—731no—
1207C23×C4—731no—
1208C23×C4—731no—
1209C23×C4—731no—
1210C23×C4—731no—
1211C23×C4—731no—
1212C23×C4—1464no—
1213C23×C4—1464no—
1214C23×C4C22×D7311yescharacteristic
1215C23×C4C22×D7311yescharacteristic
1216C23×C4C22×D7311yescharacteristic
1217C23×C4C22×D7311yescharacteristic
1218C23×C4C22×D7311yescharacteristic
1219C23×C4C22×D7311yescharacteristic
1220C23×C4C22×D7311yescharacteristic
1221C23×C4C22×D7311yescharacteristic
1222C4⋊Q8—1464no—
1223#127—1464no—
1224#127—1464no—
1225#124—1464no—
1226#124—1464no—
1227#123—24no—
1228#123—24no—
1229#123—1464no—
1230#123—1464no—
1231C22⋊Q8—24no—
1232C22⋊Q8—24no—
1233C22⋊Q8—1464no—
1234C22⋊Q8—1464no—
1235#121—24no—
1236#121—24no—
1237#121—1464no—
1238#121—1464no—
1239#121—1464no—
1240#121—1464no—
1241#121—1464no—
1242#121—1464no—
1243#121—1464no—
1244#121—1464no—
1245#120—24no—
1246#120—24no—
1247#120—1464no—
1248#120—1464no—
1249#120—1464no—
1250#120—1464no—
1251C4×D4—24no—
1252C4×D4—24no—
1253C4×D4—24no—
1254C4×D4—2922no—
1255C4×D4—2922no—
1256C4×D4—738no—
1257C4×D4—1464no—
1258C4×D4—1464no—
1259C4×D4—1464no—
1260C4×D4—1464no—
1261C4×D4—1464no—
1262C4×D4—1464no—
1263C4×D4—1464no—
1264C4×D4—1464no—
1265C4×D4—1464no—
1266C4×D4—1464no—
1267C4×D4—1464no—
1268C4×D4—1464no—
1269C4×D4—1464no—
1270C4×D4—1464no—
1271C4×D4—1464no—
1272C4×D4C22⋊D7318yescomplemented
1273#117—24no—
1274#117—1464no—
1275C2×C4⋊C4—731no—
1276C2×C4⋊C4—731no—
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—731no—
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—731no—
1283C2×C4⋊C4—731no—
1284C2×C4⋊C4—731no—
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—731no—
1287C2×C4⋊C4—731no—
1288C2×C4⋊C4—731no—
1289C2×C4⋊C4—731no—
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—731no—
1292C2×C4⋊C4—731no—
1293C2×C4⋊C4—1464no—
1294C2×C4⋊C4C22×D7311yescharacteristic
1295C2×C4⋊C4C22×D7311yescharacteristic
1296C2×C4⋊C4C22×D7311yescharacteristic
1297C2×C4⋊C4C22×D7311yescharacteristic
1298C2×C4⋊C4C22×D7311yescharacteristic
1299C2×C4⋊C4C22×D7311yescharacteristic
1300C2×C22⋊C4—731no—
1301C2×C22⋊C4—731no—
1302C2×C22⋊C4—731no—
1303C2×C22⋊C4—731no—
1304C2×C22⋊C4—731no—
1305C2×C22⋊C4—731no—
1306C2×C22⋊C4—731no—
1307C2×C22⋊C4—731no—
1308C2×C22⋊C4—731no—
1309C2×C22⋊C4—731no—
1310C2×C22⋊C4—731no—
1311C2×C22⋊C4—731no—
1312C2×C22⋊C4—731no—
1313C2×C22⋊C4—731no—
1314C2×C22⋊C4—731no—
1315C2×C22⋊C4—731no—
1316C2×C22⋊C4—731no—
1317C2×C22⋊C4—731no—
1318C2×C22⋊C4—731no—
1319C2×C22⋊C4—731no—
1320C2×C22⋊C4—731no—
1321C2×C22⋊C4—731no—
1322C2×C22⋊C4—731no—
1323C2×C22⋊C4—731no—
1324C2×C22⋊C4—731no—
1325C2×C22⋊C4—731no—
1326C2×C22⋊C4—731no—
1327C2×C22⋊C4—731no—
1328C2×C22⋊C4—731no—
1329C2×C22⋊C4—731no—
1330C2×C22⋊C4—731no—
1331C2×C22⋊C4—731no—
1332C2×C22⋊C4—731no—
1333C2×C22⋊C4—731no—
1334C2×C22⋊C4—731no—
1335C2×C22⋊C4—731no—
1336C2×C22⋊C4—731no—
1337C2×C22⋊C4—731no—
1338C2×C22⋊C4—731no—
1339C2×C22⋊C4—731no—
1340C2×C22⋊C4—731no—
1341C2×C22⋊C4—731no—
1342C2×C22⋊C4—1464no—
1343C2×C22⋊C4—1464no—
1344C2×C22⋊C4C22×D7311yescharacteristic
1345C2×C22⋊C4C22×D7311yescharacteristic
1346C2×C22⋊C4C22×D7311yescharacteristic
1347C2×C22⋊C4C22×D7311yescharacteristic
1348C2×C22⋊C4C22×D7311yescharacteristic
1349C2×C22⋊C4C22×D7311yescharacteristic
1350C2×C22⋊C4C22×D7311yescharacteristic
1351C2×C22⋊C4C22×D7311yescharacteristic
1352C2×C22⋊C4C22×D7311yescharacteristic
1353C2×C22⋊C4C22×D7311yescharacteristic
1354C2×C42—731no—
1355C2×C42—731no—
1356C2×C42—731no—
1357C2×C42—731no—
1358C2×C42—731no—
1359C2×C42—731no—
1360C2×C42—731no—
1361C2×C42—731no—
1362C2×C42—731no—
1363C2×C42—731no—
1364C2×C42—731no—
1365C2×C42—731no—
1366C2×C42—731no—
1367C2×C42—1464no—
1368C2×C42—1464no—
1369C2×C42C22×D7311yescharacteristic
1370C2×C42C22×D7311yescharacteristic
1371#95—731no—
1372#95—731no—
1373#95—731no—
1374#95—731no—
1375#95—731no—
1376#95—731no—
1377#95—731no—
1378#95—731no—
1379#95—731no—
1380#95—731no—
1381#95—731no—
1382#95—731no—
1383#95—731no—
1384#95—731no—
1385#95—731no—
1386#95—731no—
1387#95—731no—
1388#95—731no—
1389#95—731no—
1390#95—731no—
1391C24—22no—
1392C24—22no—
1393C24—22no—
1394C24—22no—
1395C24—22no—
1396C24—41no—
1397C24—41no—
1398C24—2921no—
1399C24—2921no—
1400C24—731no—
1401C24—731no—
1402C24—731no—
1403C24—1462no—
1404C24—1462no—
1405C24—1462no—
1406C24—1462no—
1407C24—1462no—
1408C24C23×D7311yescharacteristic
1409C24C23×D7311yescharacteristic
1410C24C23×D7311yescharacteristic
1411C24C23×D7311yescharacteristic
1412C24C23×D7311yescharacteristic
1413#41—416no—
1414#41—29216no—
1415C2×Q8—22no—
1416C2×Q8—22no—
1417C2×Q8—41no—
1418C2×Q8—2921no—
1419C2×Q8—1462no—
1420C2×Q8—1462no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—22no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—22no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—2921no—
1442C2×D4—2921no—
1443C2×D4—2921no—
1444C2×D4—2921no—
1445C2×D4—2921no—
1446C2×D4—2921no—
1447C2×D4—2921no—
1448C2×D4—2921no—
1449C2×D4—2921no—
1450C2×D4—734no—
1451C2×D4—734no—
1452C2×D4—1462no—
1453C2×D4—1462no—
1454C2×D4—1462no—
1455C2×D4—1462no—
1456C2×D4—1462no—
1457C2×D4—1462no—
1458C2×D4—1462no—
1459C2×D4—1462no—
1460C2×D4—1462no—
1461C2×D4—1462no—
1462C2×D4—1462no—
1463C2×D4—1462no—
1464C2×D4—1462no—
1465C2×D4—1462no—
1466C2×D4—1462no—
1467C2×D4—1462no—
1468C2×D4—1462no—
1469C2×D4—1462no—
1470C2×D4—1462no—
1471C2×D4—1462no—
1472C2×D4—1462no—
1473C2×D4—1462no—
1474C2×D4—1462no—
1475C2×D4—1462no—
1476C2×D4—1462no—
1477C2×D4—1462no—
1478C2×D4—1462no—
1479C2×D4—1462no—
1480C2×D4—1462no—
1481C2×D4—1462no—
1482C2×D4—14632no—
1483C2×D4—1462no—
1484C2×D4—1462no—
1485C2×D4—1462no—
1486C2×D4—1462no—
1487C2×D4C2×C22⋊D7314yes—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—22no—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—41no—
1507C22×C4—41no—
1508C22×C4—41no—
1509C22×C4—416no—
1510C22×C4—29216no—
1511C22×C4—2921no—
1512C22×C4—2921no—
1513C22×C4—2921no—
1514C22×C4—2921no—
1515C22×C4—2921no—
1516C22×C4—731no—
1517C22×C4—734no—
1518C22×C4—731no—
1519C22×C4—731no—
1520C22×C4—731no—
1521C22×C4—731no—
1522C22×C4—731no—
1523C22×C4—734no—
1524C22×C4—731no—
1525C22×C4—731no—
1526C22×C4—731no—
1527C22×C4—731no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—1462no—
1532C22×C4—1462no—
1533C22×C4—1462no—
1534C22×C4—1462no—
1535C22×C4—1462no—
1536C22×C4—1462no—
1537C22×C4—1462no—
1538C22×C4—1462no—
1539C22×C4—1462no—
1540C22×C4—1462no—
1541C22×C4—1462no—
1542C22×C4—1462no—
1543C22×C4—1462no—
1544C22×C4—1462no—
1545C22×C4—1462no—
1546C22×C4—1462no—
1547C22×C4—1462no—
1548C22×C4—1462no—
1549C22×C4—1462no—
1550C22×C4—1462no—
1551C22×C4—1462no—
1552C22×C4—1462no—
1553C22×C4—1462no—
1554C22×C4D4×D7314yes—
1555C22×C4C2×C22⋊D7314yes—
1556C22×C4C2×C22⋊D7314yescomplemented
1557C22×C4C23×D7311yescharacteristic
1558C22×C4C23×D7311yescharacteristic
1559C22×C4C23×D7311yescharacteristic
1560C22×C4C23×D7311yescharacteristic
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563C22×C4C23×D7311yescharacteristic
1564C22×C4C23×D7311yescharacteristic
1565C22×C4C23×D7311yescharacteristic
1566C22×C4C23×D7311yescharacteristic
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—22no—
1572C4⋊C4—2921no—
1573C4⋊C4—2921no—
1574C4⋊C4—734no—
1575C4⋊C4—1462no—
1576C4⋊C4—1462no—
1577C4⋊C4—1462no—
1578C4⋊C4—1462no—
1579C4⋊C4—1462no—
1580C4⋊C4—1462no—
1581C4⋊C4—1462no—
1582C4⋊C4—1462no—
1583C4⋊C4—1462no—
1584C4⋊C4—1462no—
1585C4⋊C4—1462no—
1586C4⋊C4—1462no—
1587C4⋊C4—1462no—
1588C4⋊C4—1462no—
1589C4⋊C4—1462no—
1590C4⋊C4C2×C22⋊D7314yescomplemented
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—22no—
1598C22⋊C4—22no—
1599C22⋊C4—2921no—
1600C22⋊C4—2921no—
1601C22⋊C4—2921no—
1602C22⋊C4—2921no—
1603C22⋊C4—2921no—
1604C22⋊C4—2921no—
1605C22⋊C4—2921no—
1606C22⋊C4—2921no—
1607C22⋊C4—734no—
1608C22⋊C4—734no—
1609C22⋊C4—734no—
1610C22⋊C4—1462no—
1611C22⋊C4—1462no—
1612C22⋊C4—1462no—
1613C22⋊C4—1462no—
1614C22⋊C4—1462no—
1615C22⋊C4—1462no—
1616C22⋊C4—1462no—
1617C22⋊C4—1462no—
1618C22⋊C4—1462no—
1619C22⋊C4—1462no—
1620C22⋊C4—1462no—
1621C22⋊C4—1462no—
1622C22⋊C4—1462no—
1623C22⋊C4—1462no—
1624C22⋊C4—1462no—
1625C22⋊C4—1462no—
1626C22⋊C4—1462no—
1627C22⋊C4—1462no—
1628C22⋊C4—1462no—
1629C22⋊C4—1462no—
1630C22⋊C4—1462no—
1631C22⋊C4—1462no—
1632C22⋊C4—1462no—
1633C22⋊C4—1462no—
1634C22⋊C4—1462no—
1635C22⋊C4—1462no—
1636C22⋊C4—1462no—
1637C22⋊C4—1462no—
1638C22⋊C4—1462no—
1639C22⋊C4—1462no—
1640C22⋊C4—1462no—
1641C22⋊C4C2×C22⋊D7314yes—
1642C22⋊C4C2×C22⋊D7314yescomplemented
1643C42—22no—
1644C42—2921no—
1645C42—734no—
1646C42—1462no—
1647C42—1462no—
1648C42—1462no—
1649C42—1462no—
1650C42—1462no—
1651C42—1462no—
1652C42—1462no—
1653C42—1462no—
1654C42—1462no—
1655C42—1462no—
1656C42—1462no—
1657C42C2×C22⋊D7314yescomplemented
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—28no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—44no—
1689C23—44no—
1690C23—44no—
1691C23—44no—
1692C23—44no—
1693C23—44no—
1694C23—2924no—
1695C23—2924no—
1696C23—2924no—
1697C23—2924no—
1698C23—2924no—
1699C23—2924no—
1700C23—732no—
1701C23—732no—
1702C23—1468no—
1703C23—1461no—
1704C23—1461no—
1705C23—1461no—
1706C23—1461no—
1707C23—1461no—
1708C23—1461no—
1709C23—1461no—
1710C23—1461no—
1711C23—1461no—
1712C23—1461no—
1713C23—1461no—
1714C23—1461no—
1715C23—1461no—
1716C23—1461no—
1717C23—1461no—
1718C23—1461no—
1719C23—1461no—
1720C23—1461no—
1721C23—1461no—
1722C23C2×D4×D7312yes—
1723C23C22×C22⋊D7312yes—
1724C23C22×C22⋊D7312yes—
1725C23#41×D7312yes—
1726C23#41×D7312yes—
1727C23#41×D7312yes—
1728C23C24×D7311yescharacteristic
1729Q8—44no—
1730Q8—2924no—
1731D4—28no—
1732D4—44no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—44no—
1737D4—44no—
1738D4—2924no—
1739D4—2924no—
1740D4—2924no—
1741D4—2924no—
1742D4—2924no—
1743D4—2924no—
1744D4—2924no—
1745D4—2924no—
1746D4—2924no—
1747D4—2924no—
1748D4—2924no—
1749D4—1468no—
1750D4—1468no—
1751D4—1468no—
1752D4—1468no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—28no—
1764C2×C4—28no—
1765C2×C4—28no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—2924no—
1784C2×C4—2924no—
1785C2×C4—2924no—
1786C2×C4—2924no—
1787C2×C4—2924no—
1788C2×C4—2924no—
1789C2×C4—2924no—
1790C2×C4—2924no—
1791C2×C4—732no—
1792C2×C4—732no—
1793C2×C4—732no—
1794C2×C4—732no—
1795C2×C4—732no—
1796C2×C4—732no—
1797C2×C4—732no—
1798C2×C4—732no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4—1461no—
1803C2×C4—1461no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4—1461no—
1818C2×C4—1461no—
1819C2×C4—1461no—
1820C2×C4—1468no—
1821C2×C4—1461no—
1822C2×C4—1461no—
1823C2×C4—1461no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1461no—
1829C2×C4—1461no—
1830C2×C4—1461no—
1831C2×C4—1468no—
1832C2×C4C2×D4×D7312yes—
1833C2×C4C2×D4×D7312yes—
1834C2×C4C22×C22⋊D7312yes—
1835C2×C4C22×C22⋊D7312yes—
1836C2×C4C22×C22⋊D7312yes—
1837C2×C4C22×C22⋊D7312yes—
1838C2×C4C22×C22⋊D7312yes—
1839C2×C4#1455663612yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—416no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—29216no—
1876C22—2921no—
1877C22—2921no—
1878C22—2921no—
1879C22—2921no—
1880C22—2921no—
1881C22—2921no—
1882C22—2921no—
1883C22—2921no—
1884C22—2921no—
1885C22—2921no—
1886C22—2921no—
1887C22—2921no—
1888C22—2921no—
1889C22—2921no—
1890C22—2921no—
1891C22—1462no—
1892C22—1462no—
1893C22—1462no—
1894C22—1462no—
1895C22—1462no—
1896C22—1462no—
1897C22#1798913314yescomplemented
1898C22C22×D4×D7311yescharacteristic
1899C22C23×C22⋊D7311yescharacteristic
1900C22C2×#41×D7311yescharacteristic
1901C22C2×#41×D7311yescharacteristic
1902C22C2×#41×D7311yescharacteristic
1903C22C2×#1455663611yescharacteristic
1904C22#1798942311yescharacteristic
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—2921no—
1915C4—2921no—
1916C4—2921no—
1917C4—2921no—
1918C4—2921no—
1919C4—2921no—
1920C4—2921no—
1921C4—734no—
1922C4—1462no—
1923C4—1462no—
1924C4—1462no—
1925C4—1462no—
1926C4—1462no—
1927C4D4×C22⋊D7314yes—
1928C2—24no—
1929C2—42no—
1930C2—42no—
1931C2—42no—
1932C2—81no—
1933C2—2922no—
1934C2—2922no—
1935C2—5841no—
1936C2#525×D7311yescharacteristic
1937C2C2×#1798913311yescharacteristic
1938C2#2262334911yescharacteristic
1939C2C2×D4×C22⋊D7311yescharacteristic
1940C2#2262341411yescharacteristic
1941C2#41×C22⋊D7311yescharacteristic
1942C2#2262353311yescharacteristic
subgroupG/H
centerC22×C4C23×D73
commutator, socle, cosocleC23×C73C25
FrattiniC23C24×D73
FittingC2×#525×C73C2
hypercenterC2×#525D73
hypocenterC73#34681
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C22×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#17989133C2semidirect
2. C2×#17989096C2semidirect
3. C22×C4×C22⋊D73C2semidirect
4. #22614064C2semidirect
5. #22614056C2semidirect
6. #22613942C2semidirect
7. #22613934C2semidirect
8. #22613905C2semidirect
9. #22613897C2semidirect
10. #22613780C2semidirect
11. #22613695C2semidirect
12. #22613630C2semidirect
13. #22613566C2semidirect
14. #22613516C2semidirect
15. #22613473C2semidirect
16. #22613471C2semidirect
17. #22613442C2semidirect
18. #22613368C2semidirect
19. #22613284C2semidirect
20. #22613169C2semidirect
21. #22613167C2semidirect
22. #22613146C2semidirect
23. #22613144C2semidirect
24. C4×#14556587C2semidirect
25. C4×#14556563C2semidirect
26. C4×#14556563C2semidirect
27. C4×#14556560C2semidirect
28. C4×#14556559C2semidirect
29. #22612390C2semidirect
30. C4×D4×Dic73C2semidirect
31. C2×#525×C73C2semidirect
32. C22×#11924028C22semidirect
36. C2×#14556589C22semidirect
39. C2×#14556580C22semidirect
40. C2×#14556578C22semidirect
42. C2×#14556576C22semidirect
43. C2×#14556573C22semidirect
44. C2×#14556569C22semidirect
46. C2×#14556564C22semidirect
51. C2×#14556563C22semidirect
52. C2×#14556563C22semidirect
53. C2×#14556563C22semidirect
58. C2×C4×D292C22semidirect
71. C2×C4×C22⋊D73C22semidirect
72. C2×C4×C22⋊D73C22semidirect
73. C2×C4×C22⋊D73C22semidirect
74. C2×C4×C22⋊D73C22semidirect
75. C2×C4×C22⋊D73C22semidirect
76. C2×C4×C22⋊D73C22semidirect
77. C2×#14556548C22semidirect
82. C22×C4×Dic73C22semidirect
83. #17988518C22semidirect
84. #17988517C22semidirect
85. #17988513C22semidirect
86. #17988512C22semidirect
87. #17988510C22semidirect
88. #17988510C22semidirect
89. #17988509C22semidirect
90. #17988509C22semidirect
91. #17988507C22semidirect
92. #17988506C22semidirect
93. #17988504C22semidirect
94. #17988504C22semidirect
97. #17988503C22semidirect
98. #17988503C22semidirect
99. #17988502C22semidirect
100. #17988502C22semidirect
101. #17988501C22semidirect
102. #17988501C22semidirect
103. #17988501C22semidirect
104. #17988501C22semidirect
105. #17988499C22semidirect
106. #17988498C22semidirect
113. #17988495C22semidirect
114. #17988495C22semidirect
115. #17988490C22semidirect
116. #17988488C22semidirect
121. #17988487C22semidirect
122. #17988487C22semidirect
123. #17988487C22semidirect
124. #17988487C22semidirect
125. #17988482C22semidirect
126. #17988482C22semidirect
127. #17988482C22semidirect
128. #17988482C22semidirect
129. #17988481C22semidirect
130. #17988481C22semidirect
131. #17988481C22semidirect
132. #17988481C22semidirect
133. #17988477C22semidirect
134. #17988477C22semidirect
135. #17988477C22semidirect
136. #17988477C22semidirect
139. #17988467C22semidirect
141. #17988466C22semidirect
142. #17988466C22semidirect
144. #17988464C22semidirect
145. #17988463C22semidirect
146. #17988463C22semidirect
148. #17988460C22semidirect
149. #17988460C22semidirect
151. #17988458C22semidirect
152. #17988458C22semidirect
153. #17988456C22semidirect
155. #17988445C22semidirect
158. C4⋊C4×Dic73C22semidirect
159. C4⋊C4×Dic73C22semidirect
160. C4×#11924007C22semidirect
161. C4×C4⋊Dic73C22semidirect
164. C22⋊C4×Dic73C22semidirect
165. C22⋊C4×Dic73C22semidirect
166. C4×#11924005C22semidirect
167. C4×#11924005C22semidirect
168. C4×#11924005C22semidirect
170. C4×C22⋊Dic73C22semidirect
171. C4×C22⋊Dic73C22semidirect
172. C4×C22⋊Dic73C22semidirect
173. C4×C22⋊Dic73C22semidirect
174. C42×Dic73C22semidirect
175. C22×#41×C73C22semidirect
178. C2×#123×C73C22semidirect
179. C2×#123×C73C22semidirect
181. C2×C22⋊Q8×C73C22semidirect
183. C2×#121×C73C22semidirect
188. C2×C4×D4×C73C22semidirect
189. C2×C4×D4×C73C22semidirect
190. C2×#117×C73C22semidirect
265. C4×C22⋊D73D4semidirect
399. C4×D4×C73D4semidirect
478. C2×C22⋊D73#41semidirect
493. C22×Dic73#41semidirect
561. C22⋊Dic73#41semidirect
657. C22×C4×C73C2×D4semidirect
673. C4⋊C4×C73C2×D4semidirect
683. C22⋊C4×C73C2×D4semidirect
685. C42×C73C2×D4semidirect
903. C22×C73#532semidirect
955. Dic73#525semidirect
974. C2×#525D73semidirect
1003. C73#34681semidirect
1005. C22×#41C2×D73semidirect
1019. C2×#123C2×D73semidirect
1020. C2×#123C2×D73semidirect
1024. C2×C22⋊Q8C2×D73semidirect
1034. C2×#121C2×D73semidirect
1062. C2×C4×D4C2×D73semidirect
1063. C2×C4×D4C2×D73semidirect
1065. C2×#117C2×D73semidirect
1272. C4×D4C22⋊D73semidirect
1556. C22×C4C2×C22⋊D73semidirect
1590. C4⋊C4C2×C22⋊D73semidirect
1642. C22⋊C4C2×C22⋊D73semidirect
1657. C42C2×C22⋊D73semidirect
1897. C22#17989133semidirect

Maximal subgroups

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

subgroupindex
C2×#179891332
C2×#179890962
C22×C4×C22⋊D732
#226140642
#226140562
#226139422
#226139342
#226139052
#226138972
#226137802
#226136952
#226136302
#226135662
#226135162
#226134732
#226134712
#226134422
#226133682
#226132842
#226131692
#226131672
#226131462
#226131442
C4×#145565872
C4×#145565632
C4×#145565602
C4×#145565592
#226123902
C4×D4×Dic732
C2×#525×C732
#3468173