Finite Group Databasebeta

← #33292710

Subgroups — #33292710

Order 18688.

4154 conjugacy classes of subgroups.

The subgroup lattice has 2158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989153C211yesmaximal, characteristic, complemented
2C2×#120×D73C211yesmaximal, characteristic, complemented
3#22618209C211yesmaximal, characteristic, complemented
4#22618207C211yesmaximal, characteristic, complemented
5#22616313C211yesmaximal, characteristic, complemented
6#22616311C211yesmaximal, characteristic, complemented
7#22616308C211yesmaximal, characteristic, complemented
8#22616306C211yesmaximal, characteristic, complemented
9#22616147C211yesmaximal, characteristic, complemented
10#22616145C211yesmaximal, characteristic, complemented
11#22616143C211yesmaximal, characteristic, complemented
12#22616142C211yesmaximal, characteristic, complemented
13#22616141C211yesmaximal, characteristic, complemented
14#22616140C211yesmaximal, characteristic, complemented
15#22616137C211yesmaximal, characteristic, complemented
16#22616137C211yesmaximal, characteristic, complemented
17#22616136C211yesmaximal, characteristic, complemented
18#22616135C211yesmaximal, characteristic, complemented
19#22616134C211yesmaximal, characteristic, complemented
20#22615705C211yesmaximal, characteristic, complemented
21#22615703C211yesmaximal, characteristic, complemented
22#22614206C211yesmaximal, characteristic, complemented
23#22614200C211yesmaximal, characteristic, complemented
24#22613304C211yesmaximal, characteristic, complemented
25#22613302C211yesmaximal, characteristic, complemented
26#22613300C211yesmaximal, characteristic, complemented
27#22613298C211yesmaximal, characteristic, complemented
28#22613248C211yesmaximal, characteristic, complemented
29#22613248C211yesmaximal, characteristic, complemented
30#22612505C211yesmaximal, characteristic, complemented
31C73×#2668C211yesmaximal, characteristic, complemented
32C25×D73C2211yescharacteristic
33C22×#11924028C2211yescharacteristic, complemented
34C22×D4×D73C2211yescharacteristic
35C22×D4×D73C2211yescharacteristic
36C22×D4×D73C2211yescharacteristic
37#17989153—28no—
38C2×#14556587C2211yescharacteristic, complemented
39C2×#14556587C2211yescharacteristic, complemented
40C2×#14556577C2211yescharacteristic, complemented
41C2×#14556577C2211yescharacteristic, complemented
42C2×#14556566C2211yescharacteristic, complemented
43C2×#14556566C2211yescharacteristic, complemented
44C2×#14556565C2211yescharacteristic, complemented
45C2×#14556565C2211yescharacteristic, complemented
46C2×#14556564C2211yescharacteristic, complemented
47C2×#14556564C2211yescharacteristic, complemented
48C2×#14556563C2211yescharacteristic, complemented
49C2×#14556563C2211yescharacteristic, complemented
50C2×#14556562C2211yescharacteristic, complemented
51C2×#14556562C2211yescharacteristic, complemented
52C2×#14556561C2211yescharacteristic
53C2×#14556561C2211yescharacteristic
54C2×#14556561C2211yescharacteristic
55C2×#14556561C2211yescharacteristic
56C2×#14556561C2211yescharacteristic
57C2×#14556561C2211yescharacteristic
58C2×#14556561C2211yescharacteristic, complemented
59C2×#14556561C2211yescharacteristic, complemented
60C2×#14556561C2211yescharacteristic, complemented
61C2×#14556561C2211yescharacteristic, complemented
62C2×#14556560C2211yescharacteristic
63C2×#14556560C2211yescharacteristic, complemented
64C2×#14556559C2211yescharacteristic
65C2×#14556559C2211yescharacteristic
66C2×#14556559C2211yescharacteristic
67C2×#14556559C2211yescharacteristic
68C2×#14556559C2211yescharacteristic
69C2×#14556559C2211yescharacteristic
70C2×#14556559C2211yescharacteristic, complemented
71C2×#14556559C2211yescharacteristic, complemented
72C2×#14556559C2211yescharacteristic, complemented
73C2×#14556559C2211yescharacteristic, complemented
74#120×D73—28no—
75C2×#14556549C2211yescharacteristic, complemented
76C22×#11924005C2211yescharacteristic, complemented
77C2×C22⋊C4×D73C2211yescharacteristic
78C2×C22⋊C4×D73C2211yescharacteristic
79C2×C22⋊C4×D73C2211yescharacteristic
80C2×C22⋊C4×D73C2211yescharacteristic, complemented
81#17988524C2211yescharacteristic, complemented
82#17988523C2211yescharacteristic, complemented
83#17988522C2211yescharacteristic, complemented
84#17988516C2211yescharacteristic, complemented
85#17988516C2211yescharacteristic, complemented
86#17988515C2211yescharacteristic, complemented
87#17988515C2211yescharacteristic, complemented
88#17988514C2211yescharacteristic, complemented
89#17988514C2211yescharacteristic, complemented
90#17988513C2211yescharacteristic, complemented
91#17988513C2211yescharacteristic, complemented
92#17988512C2211yescharacteristic, complemented
93#17988512C2211yescharacteristic, complemented
94#17988505C2211yescharacteristic, complemented
95#17988505C2211yescharacteristic, complemented
96#17988504C2211yescharacteristic, complemented
97#17988504C2211yescharacteristic, complemented
98#17988503C2211yescharacteristic, complemented
99#17988503C2211yescharacteristic, complemented
100#17988503C2211yescharacteristic, complemented
101#17988503C2211yescharacteristic, complemented
102#17988502C2211yescharacteristic, complemented
103#17988502C2211yescharacteristic, complemented
104#17988502C2211yescharacteristic, complemented
105#17988502C2211yescharacteristic, complemented
106#17988501C2211yescharacteristic, complemented
107#17988501C2211yescharacteristic, complemented
108#17988500C2211yescharacteristic, complemented
109#17988500C2211yescharacteristic, complemented
110#17988499C2211yescharacteristic, complemented
111#17988499C2211yescharacteristic, complemented
112#17988497C2211yescharacteristic, complemented
113#17988496C2211yescharacteristic, complemented
114#17988496C2211yescharacteristic, complemented
115#17988496C2211yescharacteristic, complemented
116#17988496C2211yescharacteristic, complemented
117#17988496C2211yescharacteristic, complemented
118#17988495C2211yescharacteristic, complemented
119#17988495C2211yescharacteristic, complemented
120#17988495C2211yescharacteristic, complemented
121#17988495C2211yescharacteristic, complemented
122#17988495C2211yescharacteristic, complemented
123#17988481C2211yescharacteristic, complemented
124#17988481C2211yescharacteristic, complemented
125#17988480C2211yescharacteristic, complemented
126#17988480C2211yescharacteristic, complemented
127#17988477C2211yescharacteristic, complemented
128#17988477C2211yescharacteristic, complemented
129#17988476C2211yescharacteristic, complemented
130#17988476C2211yescharacteristic, complemented
131#17988467C2211yescharacteristic, complemented
132#17988467C2211yescharacteristic, complemented
133#17988466C2211yescharacteristic, complemented
134#17988466C2211yescharacteristic, complemented
135#17988466C2211yescharacteristic, complemented
136#17988466C2211yescharacteristic, complemented
137#17988465C2211yescharacteristic, complemented
138#17988465C2211yescharacteristic, complemented
139#17988465C2211yescharacteristic, complemented
140#17988465C2211yescharacteristic, complemented
141#17988465C2211yescharacteristic, complemented
142#17988465C2211yescharacteristic, complemented
143#17988465C2211yescharacteristic, complemented
144#17988465C2211yescharacteristic, complemented
145#17988464C2211yescharacteristic, complemented
146#17988464C2211yescharacteristic, complemented
147#17988463C2211yescharacteristic, complemented
148#17988463C2211yescharacteristic, complemented
149#17988463C2211yescharacteristic, complemented
150#17988463C2211yescharacteristic, complemented
151#17988463C2211yescharacteristic, complemented
152#17988463C2211yescharacteristic, complemented
153#17988463C2211yescharacteristic, complemented
154#17988463C2211yescharacteristic, complemented
155#17988461C2211yescharacteristic, complemented
156#17988461C2211yescharacteristic, complemented
157#17988458C2211yescharacteristic, complemented
158#17988458C2211yescharacteristic, complemented
159#17988449C2211yescharacteristic, complemented
160#17988449C2211yescharacteristic, complemented
161#17988443C2211yescharacteristic, complemented
162#17988442C2211yescharacteristic
163#17988442C2211yescharacteristic
164#17988442C2211yescharacteristic
165#17988442C2211yescharacteristic
166#17988442C2211yescharacteristic
167#17988442C2211yescharacteristic
168#17988442C2211yescharacteristic, complemented
169#17988442C2211yescharacteristic, complemented
170#17988442C2211yescharacteristic, complemented
171#17988442C2211yescharacteristic, complemented
172#17988442C2211yescharacteristic, complemented
173#17988442C2211yescharacteristic, complemented
174C2×#121×C73C2211yescharacteristic, complemented
175C2×#121×C73C2211yescharacteristic, complemented
176C2×#120×C73C2211yescharacteristic
177C2×#120×C73C2211yescharacteristic, complemented
178#399×C73C2211yescharacteristic, complemented
179#397×C73C2211yescharacteristic, complemented
180#397×C73C2211yescharacteristic, complemented
181#394×C73C2211yescharacteristic, complemented
182#394×C73C2211yescharacteristic, complemented
183#392×C73C2211yescharacteristic, complemented
184#386×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic, complemented
187#386×C73C2211yescharacteristic, complemented
188#379×C73C2211yescharacteristic, complemented
189C24×D73—24no—
190C24×D73—42no—
191C24×D73—42no—
192C24×D73—42no—
193C24×D73—42no—
194C24×D73—42no—
195C24×D73—42no—
196C24×D73C2311yescharacteristic
197C24×D73C2311yescharacteristic
198C24×D73C2311yescharacteristic
199C24×D73C2311yescharacteristic
200C24×D73C2311yescharacteristic
201C24×D73C2311yescharacteristic
202C24×D73C2311yescharacteristic
203C2×#11924028—24no—
204C2×#11924028—42no—
205C2×#11924028—42no—
206C22×Dic146C2311yescharacteristic, complemented
207C22×D292C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×D292C2311yescharacteristic
214C22×D292C2311yescharacteristic, complemented
215C22×C22⋊D73C2311yescharacteristic
216C22×C22⋊D73C2311yescharacteristic
217C22×C22⋊D73C2311yescharacteristic
218C22×C22⋊D73C2311yescharacteristic
219C22×C22⋊D73C2311yescharacteristic
220C22×C22⋊D73C2311yescharacteristic
221C22×C22⋊D73C2311yescharacteristic
222C22×C22⋊D73C2311yescharacteristic
223C22×C22⋊D73C2311yescharacteristic
224C22×C22⋊D73C2311yescharacteristic
225C22×C22⋊D73C2311yescharacteristic
226C22×C22⋊D73C2311yescharacteristic
227C22×C22⋊D73C2311yescharacteristic
228C22×C22⋊D73C2311yescharacteristic, complemented
229C22×C22⋊D73C2311yescharacteristic, complemented
230C22×C22⋊D73C2311yescharacteristic, complemented
231C2×D4×D73—24no—
232C2×D4×D73—24no—
233C2×D4×D73—42no—
234C2×D4×D73—42no—
235C2×D4×D73—42no—
236C2×D4×D73—42no—
237C2×D4×D73—42no—
238C2×D4×D73—42no—
239C2×D4×D73D418yescomplemented
240C23×Dic73C2311yescharacteristic, complemented
241C22×C4×D73C2311yescharacteristic
242C22×C4×D73C2311yescharacteristic
243C22×C4×D73C2311yescharacteristic
244C22×C4×D73C2311yescharacteristic, complemented
245C22×C4×D73C2311yescharacteristic, complemented
246C22×C4×D73C2311yescharacteristic, complemented
247#14556587—24no—
248#14556587—24no—
249#14556577—24no—
250#14556577—24no—
251#14556566—24no—
252#14556566—42no—
253#14556565—24no—
254#14556565—42no—
255#14556564—42no—
256#14556564—42no—
257#14556563—42no—
258#14556563—42no—
259#14556562—24no—
260#14556562—42no—
261#14556561—24no—
262#14556561—24no—
263#14556561—24no—
264#14556561—24no—
265#14556561—24no—
266#14556561—42no—
267#14556561—42no—
268#14556561—42no—
269#14556561—42no—
270#14556561—42no—
271#14556560—24no—
272#14556560—42no—
273#14556559—24no—
274#14556559—24no—
275#14556559—24no—
276#14556559—24no—
277#14556559—24no—
278#14556559—42no—
279#14556559—42no—
280#14556559—42no—
281#14556559—42no—
282#14556559—42no—
283#14556549—24no—
284C2×C4⋊Dic73C2311yescharacteristic, complemented
285C2×C4⋊Dic73C2311yescharacteristic, complemented
286C2×C4⋊Dic73C2311yescharacteristic, complemented
287C2×#11924007C2311yescharacteristic, complemented
288C2×#11924007C2311yescharacteristic, complemented
289C2×#11924007C2311yescharacteristic, complemented
290C2×#11924007C2311yescharacteristic, complemented
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, complemented
304C2×C22⋊Dic73C2311yescharacteristic, complemented
305C2×C22⋊Dic73C2311yescharacteristic, complemented
306C2×C22⋊Dic73C2311yescharacteristic, complemented
307C2×#11924005—42no—
308C2×#11924005C2311yescharacteristic
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×#11924005C2311yescharacteristic
331C2×#11924005C2311yescharacteristic
332C2×#11924005C2311yescharacteristic
333C2×#11924005C2311yescharacteristic
334C2×#11924005C2311yescharacteristic
335C2×#11924005C2311yescharacteristic
336C2×#11924005C2311yescharacteristic
337C2×#11924005C2311yescharacteristic
338C2×#11924005C2311yescharacteristic, complemented
339C2×#11924005C2311yescharacteristic, complemented
340C2×#11924005C2311yescharacteristic, complemented
341C2×#11924005C2311yescharacteristic, complemented
342C2×#11924005C2311yescharacteristic, complemented
343C2×#11924005C2311yescharacteristic, complemented
344C2×#11924005C2311yescharacteristic, complemented
345C2×#11924005C2311yescharacteristic, complemented
346C22⋊C4×D73—24no—
347C22⋊C4×D73—24no—
348C22⋊C4×D73—24no—
349C22⋊C4×D73—42no—
350C2×C4×Dic73C2311yescharacteristic, complemented
351C2×C4×Dic73C2311yescharacteristic, complemented
352#14556498C2311yescharacteristic, complemented
353#14556498C2311yescharacteristic, complemented
354#14556498C2311yescharacteristic, complemented
355#14556498C2311yescharacteristic, complemented
356#14556498C2311yescharacteristic, complemented
357#14556498C2311yescharacteristic, complemented
358#14556498C2311yescharacteristic, complemented
359#14556498C2311yescharacteristic, complemented
360#14556498C2311yescharacteristic, complemented
361#14556498C2311yescharacteristic, complemented
362#14556498C2311yescharacteristic, complemented
363#14556498C2311yescharacteristic, complemented
364#14556498C2311yescharacteristic, complemented
365#14556498C2311yescharacteristic, complemented
366#14556498C2311yescharacteristic, complemented
367#14556498C2311yescharacteristic, complemented
368#14556498C2311yescharacteristic, complemented
369#14556498C2311yescharacteristic, complemented
370C25×C73C2311yescharacteristic
371C22×D4×C73C2311yescharacteristic
372C22×D4×C73C2311yescharacteristic
373C22×D4×C73C2311yescharacteristic
374C22×D4×C73C2311yescharacteristic
375C22×D4×C73C2311yescharacteristic
376C22×D4×C73C2311yescharacteristic
377C22×D4×C73C2311yescharacteristic, complemented
378C23×C4×C73C2311yescharacteristic, complemented
379C23×C4×C73C2311yescharacteristic, complemented
380#121×C73—24no—
381#121×C73—42no—
382#120×C73—24no—
383#120×C73—42no—
384C2×C4⋊C4×C73C2311yescharacteristic, complemented
385C2×C4⋊C4×C73C2311yescharacteristic, complemented
386C2×C4⋊C4×C73C2311yescharacteristic, complemented
387C2×C22⋊C4×C73C2311yescharacteristic
388C2×C22⋊C4×C73C2311yescharacteristic
389C2×C22⋊C4×C73C2311yescharacteristic
390C2×C22⋊C4×C73C2311yescharacteristic
391C2×C22⋊C4×C73C2311yescharacteristic
392C2×C22⋊C4×C73C2311yescharacteristic
393C2×C22⋊C4×C73C2311yescharacteristic
394C2×C22⋊C4×C73C2311yescharacteristic
395C2×C22⋊C4×C73C2311yescharacteristic
396C2×C22⋊C4×C73C2311yescharacteristic
397C2×C22⋊C4×C73C2311yescharacteristic
398C2×C22⋊C4×C73C2311yescharacteristic
399C2×C22⋊C4×C73C2311yescharacteristic, complemented
400C2×C22⋊C4×C73C2311yescharacteristic, complemented
401C2×C22⋊C4×C73C2311yescharacteristic, complemented
402C2×C22⋊C4×C73C2311yescharacteristic, complemented
403#95×C73C2311yescharacteristic, complemented
404#95×C73C2311yescharacteristic, complemented
405#95×C73C2311yescharacteristic, complemented
406#95×C73C2311yescharacteristic, complemented
407#95×C73C2311yescharacteristic, complemented
408#95×C73C2311yescharacteristic, complemented
409C23×D73—22no—
410C23×D73—22no—
411C23×D73—22no—
412C23×D73—22no—
413C23×D73—22no—
414C23×D73—22no—
415C23×D73—22no—
416C23×D73—22no—
417C23×D73—22no—
418C23×D73—22no—
419C23×D73—22no—
420C23×D73—22no—
421C23×D73—22no—
422C23×D73—22no—
423C23×D73—22no—
424C23×D73—22no—
425C23×D73—22no—
426C23×D73—22no—
427C23×D73—22no—
428C23×D73—22no—
429C23×D73—22no—
430C23×D73—22no—
431C23×D73—22no—
432C23×D73—41no—
433C23×D73—41no—
434C23×D73—41no—
435C23×D73—41no—
436C23×D73—41no—
437C23×D73—41no—
438C23×D73—41no—
439C23×D73—41no—
440C23×D73—41no—
441C23×D73—41no—
442C23×D73—41no—
443C23×D73—41no—
444C23×D73—41no—
445C23×D73—41no—
446C23×D73—41no—
447C23×D73—41no—
448C23×D73—41no—
449C23×D73—41no—
450C23×D73—41no—
451C23×D73—41no—
452C23×D73—41no—
453C23×D73—41no—
454C23×D73—41no—
455C23×D73—41no—
456C23×D73—416no—
457C23×D73—416no—
458C23×D73—416no—
459C23×D73—416no—
460C23×D73—416no—
461C23×D73—416no—
462C23×D73—416no—
463C23×D73C2×D414yes—
464C23×D73C2×D414yes—
465C23×D73C2411yescharacteristic
466C23×D73C2411yescharacteristic
467C23×D73C2411yescharacteristic
468C23×D73C2411yescharacteristic
469C23×D73C2411yescharacteristic
470C23×D73C2411yescharacteristic
471#11924028—416no—
472C2×Dic146—22no—
473C2×Dic146—41no—
474C2×Dic146—41no—
475C2×D292—22no—
476C2×D292—22no—
477C2×D292—22no—
478C2×D292—22no—
479C2×D292—22no—
480C2×D292—22no—
481C2×D292—22no—
482C2×D292—22no—
483C2×D292—22no—
484C2×D292—22no—
485C2×D292—22no—
486C2×D292—41no—
487C2×D292—41no—
488C2×D292—41no—
489C2×D292—41no—
490C2×D292—41no—
491C2×D292—41no—
492C2×D292—41no—
493C2×D292—41no—
494C2×D292—41no—
495C2×D292—41no—
496C2×D292—41no—
497C2×D292—41no—
498C2×D292C2×D414yes—
499C2×C22⋊D73—22no—
500C2×C22⋊D73—22no—
501C2×C22⋊D73—22no—
502C2×C22⋊D73—22no—
503C2×C22⋊D73—22no—
504C2×C22⋊D73—22no—
505C2×C22⋊D73—22no—
506C2×C22⋊D73—22no—
507C2×C22⋊D73—22no—
508C2×C22⋊D73—22no—
509C2×C22⋊D73—22no—
510C2×C22⋊D73—22no—
511C2×C22⋊D73—22no—
512C2×C22⋊D73—22no—
513C2×C22⋊D73—22no—
514C2×C22⋊D73—22no—
515C2×C22⋊D73—22no—
516C2×C22⋊D73—22no—
517C2×C22⋊D73—22no—
518C2×C22⋊D73—22no—
519C2×C22⋊D73—41no—
520C2×C22⋊D73—41no—
521C2×C22⋊D73—41no—
522C2×C22⋊D73—41no—
523C2×C22⋊D73—41no—
524C2×C22⋊D73—41no—
525C2×C22⋊D73—41no—
526C2×C22⋊D73—41no—
527C2×C22⋊D73—41no—
528C2×C22⋊D73—41no—
529C2×C22⋊D73—41no—
530C2×C22⋊D73—41no—
531C2×C22⋊D73—41no—
532C2×C22⋊D73—41no—
533C2×C22⋊D73—41no—
534C2×C22⋊D73—41no—
535C2×C22⋊D73—41no—
536C2×C22⋊D73—41no—
537C2×C22⋊D73—41no—
538C2×C22⋊D73—41no—
539C2×C22⋊D73—41no—
540C2×C22⋊D73—41no—
541C2×C22⋊D73—41no—
542C2×C22⋊D73—41no—
543C2×C22⋊D73—41no—
544C2×C22⋊D73—41no—
545C2×C22⋊D73C2×D414yes—
546C2×C22⋊D73C2×D414yes—
547D4×D73—416no—
548D4×D73—416no—
549D4×D73—416no—
550C22×Dic73—41no—
551C22×Dic73—41no—
552C22×Dic73—41no—
553C22×Dic73C2411yescharacteristic
554C22×Dic73C2411yescharacteristic
555C22×Dic73C2411yescharacteristic
556C22×Dic73C2411yescharacteristic
557C22×Dic73C2411yescharacteristic
558C22×Dic73C2411yescharacteristic
559C22×Dic73C2411yescharacteristic
560C22×Dic73C2411yescharacteristic
561C22×Dic73C2411yescharacteristic
562C22×Dic73C2411yescharacteristic
563C2×C4×D73—22no—
564C2×C4×D73—22no—
565C2×C4×D73—22no—
566C2×C4×D73—22no—
567C2×C4×D73—22no—
568C2×C4×D73—41no—
569C2×C4×D73—41no—
570C2×C4×D73—41no—
571C2×C4×D73—41no—
572C2×C4×D73—41no—
573C2×C4×D73—41no—
574C2×C4×D73—41no—
575C2×C4×D73—41no—
576C2×C4×D73—41no—
577C2×C4×D73—41no—
578C2×C4×D73—41no—
579C2×C4×D73—41no—
580C2×C4×D73C2×D414yes—
581C4⋊Dic73—22no—
582C4⋊Dic73—41no—
583C4⋊Dic73—41no—
584#11924007—41no—
585#11924007—41no—
586#11924007—41no—
587#11924007—41no—
588C22⋊Dic73—22no—
589C22⋊Dic73—22no—
590C22⋊Dic73—22no—
591C22⋊Dic73—22no—
592C22⋊Dic73—22no—
593C22⋊Dic73—22no—
594C22⋊Dic73—22no—
595C22⋊Dic73—41no—
596C22⋊Dic73—41no—
597C22⋊Dic73—41no—
598C22⋊Dic73—41no—
599C22⋊Dic73—41no—
600C22⋊Dic73—41no—
601C22⋊Dic73—41no—
602C22⋊Dic73—41no—
603C22⋊Dic73—41no—
604#11924005—22no—
605#11924005—22no—
606#11924005—22no—
607#11924005—22no—
608#11924005—22no—
609#11924005—22no—
610#11924005—22no—
611#11924005—22no—
612#11924005—22no—
613#11924005—22no—
614#11924005—22no—
615#11924005—22no—
616#11924005—22no—
617#11924005—22no—
618#11924005—22no—
619#11924005—22no—
620#11924005—22no—
621#11924005—22no—
622#11924005—22no—
623#11924005—22no—
624#11924005—41no—
625#11924005—41no—
626#11924005—41no—
627#11924005—41no—
628#11924005—41no—
629#11924005—41no—
630#11924005—41no—
631#11924005—41no—
632#11924005—41no—
633#11924005—41no—
634#11924005—41no—
635#11924005—41no—
636#11924005—41no—
637#11924005—41no—
638#11924005—41no—
639#11924005—41no—
640#11924005—41no—
641#11924005—41no—
642C4×Dic73—22no—
643C4×Dic73—22no—
644C24×C73—22no—
645C24×C73—22no—
646C24×C73—22no—
647C24×C73—41no—
648C24×C73—41no—
649C24×C73—41no—
650C24×C73—41no—
651C24×C73C2411yescharacteristic
652C24×C73C2411yescharacteristic
653C24×C73C2411yescharacteristic
654C24×C73C2411yescharacteristic
655C24×C73C2411yescharacteristic
656C2×D4×C73—22no—
657C2×D4×C73—22no—
658C2×D4×C73—22no—
659C2×D4×C73—22no—
660C2×D4×C73—22no—
661C2×D4×C73—22no—
662C2×D4×C73—22no—
663C2×D4×C73—22no—
664C2×D4×C73—41no—
665C2×D4×C73—41no—
666C2×D4×C73—41no—
667C2×D4×C73—41no—
668C2×D4×C73—41no—
669C2×D4×C73—41no—
670C2×D4×C73—41no—
671C2×D4×C73—41no—
672C2×D4×C73—41no—
673C2×D4×C73—41no—
674C2×D4×C73—41no—
675C2×D4×C73—41no—
676C2×D4×C73C2×D414yes—
677C22×C4×C73—22no—
678C22×C4×C73—41no—
679C22×C4×C73—41no—
680C22×C4×C73—41no—
681C22×C4×C73—41no—
682C22×C4×C73—41no—
683C22×C4×C73C2411yescharacteristic
684C22×C4×C73C2411yescharacteristic
685C22×C4×C73C2411yescharacteristic
686C22×C4×C73C2411yescharacteristic
687C22×C4×C73C2411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690C22×C4×C73C2411yescharacteristic
691C22×C4×C73C2411yescharacteristic
692C22×C4×C73C2411yescharacteristic
693C4⋊C4×C73—22no—
694C4⋊C4×C73—41no—
695C4⋊C4×C73—41no—
696C22⋊C4×C73—22no—
697C22⋊C4×C73—22no—
698C22⋊C4×C73—22no—
699C22⋊C4×C73—22no—
700C22⋊C4×C73—22no—
701C22⋊C4×C73—22no—
702C22⋊C4×C73—22no—
703C22⋊C4×C73—41no—
704C22⋊C4×C73—41no—
705C22⋊C4×C73—41no—
706C22⋊C4×C73—41no—
707C22⋊C4×C73—41no—
708C22⋊C4×C73—41no—
709C22⋊C4×C73—41no—
710C22⋊C4×C73—41no—
711C22⋊C4×C73—41no—
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C23×C73—21no—
717C23×C73—21no—
718C23×C73—21no—
719C23×C73—21no—
720C23×C73—21no—
721C23×C73—21no—
722C23×C73—21no—
723C23×C73—21no—
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—21no—
727C23×C73—21no—
728C23×C73—21no—
729C23×C73—21no—
730C23×C73—21no—
731C23×C73—21no—
732C23×C73—21no—
733C23×C73—21no—
734C23×C73—21no—
735C23×C73—21no—
736C23×C73—21no—
737C23×C73—21no—
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—44no—
744C23×C73—44no—
745C23×C73—44no—
746C23×C73—44no—
747C23×C73—44no—
748C23×C73—44no—
749C23×C73—44no—
750C23×C73C22×D412yes—
751C23×C73C22×D412yes—
752C23×C73H(5,𝔽2)12yes—
753C23×C73H(5,𝔽2)12yes—
754C23×C73C2511yescharacteristic
755C22×D73—21no—
756C22×D73—21no—
757C22×D73—21no—
758C22×D73—21no—
759C22×D73—28no—
760C22×D73—28no—
761C22×D73—21no—
762C22×D73—21no—
763C22×D73—21no—
764C22×D73—21no—
765C22×D73—21no—
766C22×D73—21no—
767C22×D73—21no—
768C22×D73—21no—
769C22×D73—21no—
770C22×D73—21no—
771C22×D73—21no—
772C22×D73—21no—
773C22×D73—21no—
774C22×D73—21no—
775C22×D73—21no—
776C22×D73—21no—
777C22×D73—21no—
778C22×D73—21no—
779C22×D73—21no—
780C22×D73—21no—
781C22×D73—21no—
782C22×D73—21no—
783C22×D73—21no—
784C22×D73—21no—
785C22×D73—28no—
786C22×D73—28no—
787C22×D73—21no—
788C22×D73—21no—
789C22×D73—21no—
790C22×D73—21no—
791C22×D73—21no—
792C22×D73—21no—
793C22×D73—21no—
794C22×D73—44no—
795C22×D73—44no—
796C22×D73—44no—
797C22×D73—44no—
798C22×D73—44no—
799C22×D73—44no—
800C22×D73—44no—
801C22×D73—44no—
802C22×D73—44no—
803C22×D73—44no—
804C22×D73—44no—
805C22×D73—44no—
806C22×D73—44no—
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—
816C22×D73—44no—
817C22×D73—44no—
818C22×D73—44no—
819C22×D73—44no—
820C22×D73—44no—
821C22×D73—44no—
822C22×D73—44no—
823C22×D73—44no—
824C22×D73—44no—
825C22×D73—44no—
826C22×D73—44no—
827C22×D73—44no—
828C22×D73—44no—
829C22×D73—44no—
830C22×D73—4128no—
831C22×D73—44no—
832C22×D73—44no—
833C22×D73—44no—
834C22×D73—44no—
835C22×D73—44no—
836C22×D73—82no—
837C22×D73—82no—
838C22×D73—82no—
839C22×D73—82no—
840C22×D73C22×D412yes—
841C22×D73C22×D412yes—
842C22×D73C22×D412yes—
843C22×D73H(5,𝔽2)12yes—
844C22×D73H(5,𝔽2)12yes—
845C22×D73H(5,𝔽2)12yes—
846C22×D73H(5,𝔽2)12yes—
847D4×C73—44no—
848D4×C73—44no—
849D4×C73—44no—
850D4×C73—82no—
851D4×C73—82no—
852D4×C73—82no—
853D4×C73—82no—
854C2×C4×C73—21no—
855C2×C4×C73—21no—
856C2×C4×C73—21no—
857C2×C4×C73—21no—
858C2×C4×C73—21no—
859C2×C4×C73—21no—
860C2×C4×C73—21no—
861C2×C4×C73—21no—
862C2×C4×C73—21no—
863C2×C4×C73—21no—
864C2×C4×C73—21no—
865C2×C4×C73—21no—
866C2×C4×C73—21no—
867C2×C4×C73—21no—
868C2×C4×C73—21no—
869C2×C4×C73—21no—
870C2×C4×C73—21no—
871C2×C4×C73—21no—
872C2×C4×C73—21no—
873C2×C4×C73—21no—
874C2×C4×C73—21no—
875C2×C4×C73—21no—
876C2×C4×C73—21no—
877C2×C4×C73—21no—
878C2×C4×C73—21no—
879C2×C4×C73—21no—
880C2×C4×C73—21no—
881C2×C4×C73—21no—
882C2×C4×C73—21no—
883C2×C4×C73—44no—
884C2×C4×C73—82no—
885C2×C4×C73C22×D412yes—
886C22⋊D73—44no—
887C22⋊D73—44no—
888C22⋊D73—44no—
889C22⋊D73—44no—
890C22⋊D73—44no—
891C22⋊D73—44no—
892C22⋊D73—44no—
893C22⋊D73—44no—
894C22⋊D73—82no—
895C22⋊D73—82no—
896C22⋊D73—82no—
897C22⋊D73—82no—
898C22⋊D73—82no—
899C22⋊D73—82no—
900C22⋊D73—82no—
901C22⋊D73—82no—
902C2×Dic73—21no—
903C2×Dic73—21no—
904C2×Dic73—21no—
905C2×Dic73—21no—
906C2×Dic73—21no—
907C2×Dic73—21no—
908C2×Dic73—21no—
909C2×Dic73—21no—
910C2×Dic73—21no—
911C2×Dic73—21no—
912C2×Dic73—21no—
913C2×Dic73—21no—
914C2×Dic73—21no—
915C2×Dic73—21no—
916C2×Dic73—21no—
917C2×Dic73—21no—
918C2×Dic73—21no—
919C2×Dic73—21no—
920C2×Dic73—21no—
921C2×Dic73—21no—
922C2×Dic73—21no—
923C2×Dic73—21no—
924C2×Dic73—21no—
925C2×Dic73—21no—
926C2×Dic73—21no—
927C2×Dic73—21no—
928C2×Dic73—21no—
929C2×Dic73—21no—
930C2×Dic73—21no—
931C2×Dic73—82no—
932C2×Dic73C22×D412yes—
933D292—44no—
934D292—44no—
935D292—44no—
936D292—44no—
937D292—82no—
938D292—82no—
939D292—82no—
940D292—82no—
941C4×D73—28no—
942C4×D73—44no—
943C4×D73—44no—
944C4×D73—44no—
945C4×D73—82no—
946C4×D73—82no—
947Dic146—44no—
948C22×C73—22no—
949C22×C73—22no—
950C22×C73—22no—
951C22×C73—22no—
952C22×C73—22no—
953C22×C73—22no—
954C22×C73—22no—
955C22×C73—22no—
956C22×C73—22no—
957C22×C73—22no—
958C22×C73—22no—
959C22×C73—22no—
960C22×C73—416no—
961C22×C73—41no—
962C22×C73—41no—
963C22×C73—41no—
964C22×C73—41no—
965C22×C73—41no—
966C22×C73—41no—
967C22×C73—41no—
968C22×C73—41no—
969C22×C73—41no—
970C22×C73—41no—
971C22×C73—41no—
972C22×C73—41no—
973C22×C73—41no—
974C22×C73—41no—
975C22×C73—41no—
976C22×C73—41no—
977C22×C73—41no—
978C22×C73—41no—
979C22×C73—41no—
980C22×C73—41no—
981C22×C73—41no—
982C22×C73—41no—
983C22×C73—41no—
984C22×C73C23×D411yescharacteristic
985C22×C73C2×H(5,𝔽2)11yescharacteristic
986C22×C73C2×H(5,𝔽2)11yescharacteristic
987C22×C73C2×H(5,𝔽2)11yescharacteristic
988C22×C73C2×H(5,𝔽2)11yescharacteristic
989C22×C73C2×H(5,𝔽2)11yescharacteristic
990C22×C73C2×H(5,𝔽2)11yescharacteristic
991C2×D73—22no—
992C2×D73—22no—
993C2×D73—22no—
994C2×D73—22no—
995C2×D73—22no—
996C2×D73—22no—
997C2×D73—22no—
998C2×D73—22no—
999C2×D73—22no—
1000C2×D73—22no—
1001C2×D73—22no—
1002C2×D73—22no—
1003C2×D73—22no—
1004C2×D73—22no—
1005C2×D73—22no—
1006C2×D73—22no—
1007C2×D73—22no—
1008C2×D73—22no—
1009C2×D73—416no—
1010C2×D73—416no—
1011C2×D73—416no—
1012C2×D73—416no—
1013C2×D73—416no—
1014C2×D73—416no—
1015C2×D73—41no—
1016C2×D73—41no—
1017C2×D73—41no—
1018C2×D73—41no—
1019C2×D73—41no—
1020C2×D73—41no—
1021C2×D73—41no—
1022C2×D73—41no—
1023C2×D73—41no—
1024C2×D73—41no—
1025C2×D73—41no—
1026C2×D73—41no—
1027C2×D73—41no—
1028C2×D73—41no—
1029C2×D73—41no—
1030C2×D73—41no—
1031C2×D73—41no—
1032C2×D73—41no—
1033C2×D73—41no—
1034C2×D73—41no—
1035C2×D73—41no—
1036C2×D73—41no—
1037C2×D73—41no—
1038C2×D73—88no—
1039C2×D73#53414yes—
1040C4×C73—22no—
1041C4×C73—41no—
1042C4×C73—41no—
1043C4×C73—41no—
1044C4×C73—41no—
1045C4×C73—41no—
1046C4×C73—41no—
1047C4×C73—41no—
1048C4×C73—41no—
1049C4×C73—41no—
1050Dic73—22no—
1051Dic73—41no—
1052Dic73—41no—
1053Dic73—41no—
1054Dic73—41no—
1055Dic73—41no—
1056Dic73—41no—
1057Dic73—41no—
1058Dic73—41no—
1059Dic73—41no—
1060#36702—731nomaximal, Sylow
1061C2×C73—42no—
1062C2×C73—42no—
1063C2×C73—42no—
1064C2×C73—42no—
1065C2×C73—81no—
1066C2×C73C2×#53411yescharacteristic
1067C2×C73#348411yescharacteristic
1068C2×C73#348411yescharacteristic
1069C2×C73#353211yescharacteristic
1070C2×C73#353211yescharacteristic
1071C2×C73#353211yescharacteristic
1072C2×C73#353211yescharacteristic
1073D73—24no—
1074D73—42no—
1075D73—42no—
1076D73—42no—
1077D73—42no—
1078D73—81no—
1079C2×#535—731no—
1080C22×#120—731no—
1081#2846—731no—
1082#2846—731no—
1083#2684—731no—
1084#2684—731no—
1085#2684—731no—
1086#2684—731no—
1087#2669—731no—
1088#2669—731no—
1089#2669—731no—
1090#2669—731no—
1091#2668—731no—
1092#2668—731no—
1093#2668—731no—
1094#2668—731no—
1095#2668—731no—
1096#2668—731no—
1097#2668—731no—
1098#2668D7311yescharacteristic, complemented
1099#2622—731no—
1100#2622—731no—
1101#2482—731no—
1102#2482—731no—
1103#2410—731no—
1104#2410—731no—
1105#2410—731no—
1106#2410—731no—
1107#2404—731no—
1108#2404—731no—
1109#2308—731no—
1110C73#3670211yescharacteristic, complemented, Sylow
1111C26—731no—
1112C22×#41—731no—
1113C23×D4—731no—
1114C23×D4—731no—
1115C23×D4—731no—
1116#535—1468no—
1117C2×#127—731no—
1118C2×#127—731no—
1119C2×#124—731no—
1120C2×#124—731no—
1121C2×#121—731no—
1122C2×#121—731no—
1123C2×#121—731no—
1124C2×#121—731no—
1125C2×#121—731no—
1126C2×#121—731no—
1127C2×#121—731no—
1128C2×#121—731no—
1129C2×#121—731no—
1130C2×#121—731no—
1131C2×#121C2×D7311yescharacteristic, complemented
1132C2×#121C2×D7311yescharacteristic, complemented
1133C2×#120—731no—
1134C2×#120—731no—
1135C2×#120—731no—
1136C2×#120—731no—
1137C2×#120—731no—
1138C2×#120—731no—
1139C2×#120—731no—
1140C2×#120—731no—
1141C2×#120—731no—
1142C2×#120—731no—
1143C2×#120—731no—
1144C2×#120—731no—
1145C2×#120—731no—
1146C2×#120—731no—
1147C2×#120—731no—
1148C2×#120—731no—
1149C2×#120—731no—
1150C2×#120—731no—
1151C2×#120—731no—
1152C2×#120—731no—
1153C2×#120—731no—
1154C2×#120—731no—
1155C2×#120—1468no—
1156C2×#120C2×D7311yescharacteristic
1157C2×#120C2×D7311yescharacteristic, complemented
1158C2×#117—731no—
1159C22×C22⋊C4—731no—
1160C22×C22⋊C4—731no—
1161C22×C22⋊C4—731no—
1162C22×C22⋊C4—731no—
1163C22×C22⋊C4—731no—
1164#399—731no—
1165#399—731no—
1166#399—731no—
1167#399C2×D7311yescharacteristic, complemented
1168#397—731no—
1169#397—731no—
1170#397—731no—
1171#397—731no—
1172#397—731no—
1173#397—731no—
1174#397—731no—
1175#397—731no—
1176#397—731no—
1177#397—731no—
1178#397C2×D7311yescharacteristic, complemented
1179#397C2×D7311yescharacteristic, complemented
1180#394—731no—
1181#394—731no—
1182#394—731no—
1183#394—731no—
1184#394—731no—
1185#394—731no—
1186#394—731no—
1187#394—731no—
1188#394—731no—
1189#394—731no—
1190#394—731no—
1191#394—731no—
1192#394—731no—
1193#394—731no—
1194#394C2×D7311yescharacteristic, complemented
1195#394C2×D7311yescharacteristic, complemented
1196#393—731no—
1197#393—731no—
1198#393—731no—
1199#393—731no—
1200#392—731no—
1201#392—731no—
1202#392—731no—
1203#392—731no—
1204#392—731no—
1205#392—731no—
1206#392—731no—
1207#392—731no—
1208#392—731no—
1209#392—731no—
1210#392—731no—
1211#392C2×D7311yescharacteristic, complemented
1212#388—731no—
1213#388—731no—
1214#388—731no—
1215#388—731no—
1216#388—731no—
1217#388—731no—
1218#388—731no—
1219#388—731no—
1220#386—731no—
1221#386—731no—
1222#386—731no—
1223#386—731no—
1224#386—731no—
1225#386—731no—
1226#386—731no—
1227#386—731no—
1228#386—731no—
1229#386—731no—
1230#386—731no—
1231#386—731no—
1232#386—731no—
1233#386—731no—
1234#386—731no—
1235#386—731no—
1236#386—731no—
1237#386—731no—
1238#386—731no—
1239#386—731no—
1240#386—731no—
1241#386—731no—
1242#386—731no—
1243#386—731no—
1244#386C2×D7311yescharacteristic, complemented
1245#386C2×D7311yescharacteristic, complemented
1246#386C2×D7311yescharacteristic, complemented
1247#386C2×D7311yescharacteristic, complemented
1248#385—731no—
1249#385—731no—
1250#385—731no—
1251#385—731no—
1252#381—731no—
1253#381—731no—
1254#379—731no—
1255#379—731no—
1256#379—731no—
1257#379—731no—
1258#379—731no—
1259#379—731no—
1260#379—731no—
1261#379—731no—
1262#379—731no—
1263#379—731no—
1264#379—731no—
1265#379—731no—
1266#379—731no—
1267#379C2×D7311yescharacteristic, complemented
1268C25—2922no—
1269C25—2922no—
1270C25—2922no—
1271C25—2922no—
1272C25—2922no—
1273C25—2922no—
1274C25—731no—
1275C25—731no—
1276C25—731no—
1277C25—731no—
1278C25—731no—
1279C25—731no—
1280C25—731no—
1281C25—1464no—
1282C25C22×D7311yescharacteristic
1283C2×#41—2922no—
1284C2×#41—2922no—
1285C2×#41—1464no—
1286C22×Q8—731no—
1287C22×D4—2922no—
1288C22×D4—2922no—
1289C22×D4—2922no—
1290C22×D4—2922no—
1291C22×D4—2922no—
1292C22×D4—2922no—
1293C22×D4—731no—
1294C22×D4—731no—
1295C22×D4—738no—
1296C22×D4—731no—
1297C22×D4—731no—
1298C22×D4—731no—
1299C22×D4—731no—
1300C22×D4—731no—
1301C22×D4—731no—
1302C22×D4—731no—
1303C22×D4—731no—
1304C22×D4—731no—
1305C22×D4—731no—
1306C22×D4—731no—
1307C22×D4—731no—
1308C22×D4—731no—
1309C22×D4—731no—
1310C22×D4—731no—
1311C22×D4—731no—
1312C22×D4—731no—
1313C22×D4—731no—
1314C22×D4—731no—
1315C22×D4—731no—
1316C22×D4—731no—
1317C22×D4—731no—
1318C22×D4—1464no—
1319C22×D4—1464no—
1320C22×D4C22×D7311yescharacteristic
1321C22×D4C22×D7311yescharacteristic
1322C22×D4C22×D7311yescharacteristic
1323C22×D4C22×D7311yescharacteristic
1324C22×D4C22×D7311yescharacteristic
1325C22×D4C22×D7311yescharacteristic
1326C22×D4C22×D7311yescharacteristic, complemented
1327C23×C4—731no—
1328C23×C4—731no—
1329C23×C4—731no—
1330C23×C4—731no—
1331C23×C4—731no—
1332C23×C4—731no—
1333C23×C4—731no—
1334C23×C4C22×D7311yescharacteristic, complemented
1335C23×C4C22×D7311yescharacteristic, complemented
1336#127—1464no—
1337#127—1464no—
1338#124—1464no—
1339#124—1464no—
1340#121—24no—
1341#121—42no—
1342#121—2922no—
1343#121—2922no—
1344#121—2922no—
1345#121—2922no—
1346#121—2922no—
1347#121—2922no—
1348#121—2922no—
1349#121—1464no—
1350#121—1464no—
1351#121—1464no—
1352#120—24no—
1353#120—42no—
1354#120—2922no—
1355#120—2922no—
1356#120—2922no—
1357#120—2922no—
1358#120—2922no—
1359#120—2922no—
1360#120—2922no—
1361#120—2922no—
1362#120—2922no—
1363#120—2922no—
1364#120—2922no—
1365#120—1464no—
1366#120—1464no—
1367#120—1464no—
1368#120—1464no—
1369#120—1464no—
1370#120—1464no—
1371#120—1464no—
1372#120—1464no—
1373#120—1464no—
1374#120—1464no—
1375#120—1464no—
1376#117—1464no—
1377C2×C4⋊C4—731no—
1378C2×C4⋊C4—731no—
1379C2×C4⋊C4—731no—
1380C2×C4⋊C4—731no—
1381C2×C4⋊C4—731no—
1382C2×C4⋊C4—731no—
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4C22×D7311yescharacteristic, complemented
1385C2×C4⋊C4C22×D7311yescharacteristic, complemented
1386C2×C4⋊C4C22×D7311yescharacteristic, complemented
1387C2×C22⋊C4—2922no—
1388C2×C22⋊C4—2922no—
1389C2×C22⋊C4—731no—
1390C2×C22⋊C4—731no—
1391C2×C22⋊C4—731no—
1392C2×C22⋊C4—731no—
1393C2×C22⋊C4—731no—
1394C2×C22⋊C4—731no—
1395C2×C22⋊C4—731no—
1396C2×C22⋊C4—731no—
1397C2×C22⋊C4—731no—
1398C2×C22⋊C4—731no—
1399C2×C22⋊C4—731no—
1400C2×C22⋊C4—731no—
1401C2×C22⋊C4—731no—
1402C2×C22⋊C4—731no—
1403C2×C22⋊C4—731no—
1404C2×C22⋊C4—731no—
1405C2×C22⋊C4—731no—
1406C2×C22⋊C4—731no—
1407C2×C22⋊C4—731no—
1408C2×C22⋊C4—731no—
1409C2×C22⋊C4—731no—
1410C2×C22⋊C4—731no—
1411C2×C22⋊C4—731no—
1412C2×C22⋊C4—731no—
1413C2×C22⋊C4—731no—
1414C2×C22⋊C4—731no—
1415C2×C22⋊C4—731no—
1416C2×C22⋊C4—731no—
1417C2×C22⋊C4—731no—
1418C2×C22⋊C4—731no—
1419C2×C22⋊C4—731no—
1420C2×C22⋊C4—731no—
1421C2×C22⋊C4—731no—
1422C2×C22⋊C4—731no—
1423C2×C22⋊C4—731no—
1424C2×C22⋊C4—731no—
1425C2×C22⋊C4—731no—
1426C2×C22⋊C4—731no—
1427C2×C22⋊C4—731no—
1428C2×C22⋊C4—731no—
1429C2×C22⋊C4—731no—
1430C2×C22⋊C4—731no—
1431C2×C22⋊C4—731no—
1432C2×C22⋊C4—731no—
1433C2×C22⋊C4—731no—
1434C2×C22⋊C4—731no—
1435C2×C22⋊C4—731no—
1436C2×C22⋊C4—731no—
1437C2×C22⋊C4—731no—
1438C2×C22⋊C4—731no—
1439C2×C22⋊C4—731no—
1440C2×C22⋊C4—731no—
1441C2×C22⋊C4—731no—
1442C2×C22⋊C4—731no—
1443C2×C22⋊C4—1464no—
1444C2×C22⋊C4—1464no—
1445C2×C22⋊C4—1464no—
1446C2×C22⋊C4C22×D7311yescharacteristic
1447C2×C22⋊C4C22×D7311yescharacteristic
1448C2×C22⋊C4C22×D7311yescharacteristic
1449C2×C22⋊C4C22×D7311yescharacteristic
1450C2×C22⋊C4C22×D7311yescharacteristic
1451C2×C22⋊C4C22×D7311yescharacteristic
1452C2×C22⋊C4C22×D7311yescharacteristic
1453C2×C22⋊C4C22×D7311yescharacteristic
1454C2×C22⋊C4C22×D7311yescharacteristic
1455C2×C22⋊C4C22×D7311yescharacteristic
1456C2×C22⋊C4C22×D7311yescharacteristic
1457C2×C22⋊C4C22×D7311yescharacteristic
1458C2×C22⋊C4C22×D7311yescharacteristic, complemented
1459C2×C22⋊C4C22×D7311yescharacteristic, complemented
1460C2×C22⋊C4C22×D7311yescharacteristic, complemented
1461C2×C22⋊C4C22×D7311yescharacteristic, complemented
1462C2×C42—731no—
1463C2×C42—731no—
1464#95—731no—
1465#95—731no—
1466#95—731no—
1467#95—731no—
1468#95—731no—
1469#95—731no—
1470#95—731no—
1471#95—731no—
1472#95—731no—
1473#95—731no—
1474#95—731no—
1475#95—731no—
1476#95—731no—
1477#95—731no—
1478#95—731no—
1479#95—731no—
1480#95—731no—
1481#95—731no—
1482#95C22×D7311yescharacteristic, complemented
1483#95C22×D7311yescharacteristic, complemented
1484#95C22×D7311yescharacteristic, complemented
1485#95C22×D7311yescharacteristic, complemented
1486#95C22×D7311yescharacteristic, complemented
1487#95C22×D7311yescharacteristic, complemented
1488C24—22no—
1489C24—22no—
1490C24—22no—
1491C24—41no—
1492C24—41no—
1493C24—41no—
1494C24—41no—
1495C24—2921no—
1496C24—2921no—
1497C24—2921no—
1498C24—2921no—
1499C24—2921no—
1500C24—2921no—
1501C24—2921no—
1502C24—2921no—
1503C24—2921no—
1504C24—2921no—
1505C24—2921no—
1506C24—2921no—
1507C24—2921no—
1508C24—2921no—
1509C24—2921no—
1510C24—2921no—
1511C24—2921no—
1512C24—2921no—
1513C24—2921no—
1514C24—2921no—
1515C24—2921no—
1516C24—2921no—
1517C24—2921no—
1518C24—2921no—
1519C24—29216no—
1520C24—29216no—
1521C24—29216no—
1522C24—29216no—
1523C24—29216no—
1524C24—29216no—
1525C24—29216no—
1526C24—734no—
1527C24—734no—
1528C24—731no—
1529C24—731no—
1530C24—731no—
1531C24—731no—
1532C24—731no—
1533C24—731no—
1534C24—1462no—
1535C24—1462no—
1536C24—1462no—
1537C24—1462no—
1538C24—1462no—
1539C24—1462no—
1540C24—1462no—
1541C24—1462no—
1542C24—1462no—
1543C24—1462no—
1544C24—1462no—
1545C24—1462no—
1546C24—1462no—
1547C24—1462no—
1548C24—1462no—
1549C24—1462no—
1550C24—1462no—
1551C24—1462no—
1552C24—1462no—
1553C24—1462no—
1554C24—1462no—
1555C24—1462no—
1556C24—1462no—
1557C24C23×D7311yescharacteristic
1558C24C23×D7311yescharacteristic
1559C24C23×D7311yescharacteristic
1560C24C23×D7311yescharacteristic
1561C24C23×D7311yescharacteristic
1562#41—29216no—
1563C2×Q8—2921no—
1564C2×Q8—2921no—
1565C2×Q8—1462no—
1566C2×D4—22no—
1567C2×D4—22no—
1568C2×D4—22no—
1569C2×D4—22no—
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—22no—
1573C2×D4—22no—
1574C2×D4—41no—
1575C2×D4—41no—
1576C2×D4—41no—
1577C2×D4—41no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—41no—
1581C2×D4—41no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—2921no—
1587C2×D4—2921no—
1588C2×D4—2921no—
1589C2×D4—2921no—
1590C2×D4—2921no—
1591C2×D4—2921no—
1592C2×D4—2921no—
1593C2×D4—2921no—
1594C2×D4—2921no—
1595C2×D4—2921no—
1596C2×D4—2921no—
1597C2×D4—2921no—
1598C2×D4—29216no—
1599C2×D4—29216no—
1600C2×D4—29216no—
1601C2×D4—2921no—
1602C2×D4—2921no—
1603C2×D4—2921no—
1604C2×D4—2921no—
1605C2×D4—2921no—
1606C2×D4—2921no—
1607C2×D4—2921no—
1608C2×D4—2921no—
1609C2×D4—2921no—
1610C2×D4—2921no—
1611C2×D4—2921no—
1612C2×D4—2921no—
1613C2×D4—2921no—
1614C2×D4—2921no—
1615C2×D4—2921no—
1616C2×D4—2921no—
1617C2×D4—2921no—
1618C2×D4—2921no—
1619C2×D4—2921no—
1620C2×D4—2921no—
1621C2×D4—2921no—
1622C2×D4—2921no—
1623C2×D4—2921no—
1624C2×D4—2921no—
1625C2×D4—2921no—
1626C2×D4—2921no—
1627C2×D4—734no—
1628C2×D4—734no—
1629C2×D4—734no—
1630C2×D4—1462no—
1631C2×D4—1462no—
1632C2×D4—1462no—
1633C2×D4—1462no—
1634C2×D4—1462no—
1635C2×D4—1462no—
1636C2×D4—1462no—
1637C2×D4—1462no—
1638C2×D4—1462no—
1639C2×D4—1462no—
1640C2×D4—1462no—
1641C2×D4—1462no—
1642C2×D4—1462no—
1643C2×D4—1462no—
1644C2×D4—1462no—
1645C2×D4—1462no—
1646C2×D4—1462no—
1647C2×D4—1462no—
1648C2×D4—1462no—
1649C2×D4—1462no—
1650C2×D4—1462no—
1651C2×D4—1462no—
1652C2×D4—1462no—
1653C2×D4—1462no—
1654C2×D4—1462no—
1655C2×D4—1462no—
1656C2×D4—1462no—
1657C2×D4—1462no—
1658C2×D4—1462no—
1659C2×D4—1462no—
1660C2×D4—1462no—
1661C2×D4D4×D7314yes—
1662C22×C4—22no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—41no—
1666C22×C4—41no—
1667C22×C4—41no—
1668C22×C4—2921no—
1669C22×C4—2921no—
1670C22×C4—2921no—
1671C22×C4—2921no—
1672C22×C4—2921no—
1673C22×C4—2921no—
1674C22×C4—2921no—
1675C22×C4—2921no—
1676C22×C4—2921no—
1677C22×C4—2921no—
1678C22×C4—2921no—
1679C22×C4—2921no—
1680C22×C4—2921no—
1681C22×C4—2921no—
1682C22×C4—2921no—
1683C22×C4—731no—
1684C22×C4—734no—
1685C22×C4—731no—
1686C22×C4—731no—
1687C22×C4—731no—
1688C22×C4—731no—
1689C22×C4—731no—
1690C22×C4—731no—
1691C22×C4—731no—
1692C22×C4—731no—
1693C22×C4—731no—
1694C22×C4—1462no—
1695C22×C4—1462no—
1696C22×C4—1462no—
1697C22×C4—1462no—
1698C22×C4—1462no—
1699C22×C4C23×D7311yescharacteristic
1700C22×C4C23×D7311yescharacteristic
1701C22×C4C23×D7311yescharacteristic
1702C22×C4C23×D7311yescharacteristic
1703C22×C4C23×D7311yescharacteristic
1704C22×C4C23×D7311yescharacteristic
1705C22×C4C23×D7311yescharacteristic
1706C22×C4C23×D7311yescharacteristic
1707C22×C4C23×D7311yescharacteristic
1708C22×C4C23×D7311yescharacteristic
1709C4⋊C4—22no—
1710C4⋊C4—41no—
1711C4⋊C4—41no—
1712C4⋊C4—2921no—
1713C4⋊C4—2921no—
1714C4⋊C4—2921no—
1715C4⋊C4—2921no—
1716C4⋊C4—2921no—
1717C4⋊C4—2921no—
1718C4⋊C4—1462no—
1719C22⋊C4—22no—
1720C22⋊C4—22no—
1721C22⋊C4—22no—
1722C22⋊C4—22no—
1723C22⋊C4—22no—
1724C22⋊C4—22no—
1725C22⋊C4—22no—
1726C22⋊C4—41no—
1727C22⋊C4—41no—
1728C22⋊C4—41no—
1729C22⋊C4—41no—
1730C22⋊C4—41no—
1731C22⋊C4—41no—
1732C22⋊C4—41no—
1733C22⋊C4—41no—
1734C22⋊C4—41no—
1735C22⋊C4—2921no—
1736C22⋊C4—2921no—
1737C22⋊C4—2921no—
1738C22⋊C4—2921no—
1739C22⋊C4—2921no—
1740C22⋊C4—2921no—
1741C22⋊C4—2921no—
1742C22⋊C4—2921no—
1743C22⋊C4—2921no—
1744C22⋊C4—2921no—
1745C22⋊C4—2921no—
1746C22⋊C4—2921no—
1747C22⋊C4—2921no—
1748C22⋊C4—2921no—
1749C22⋊C4—2921no—
1750C22⋊C4—2921no—
1751C22⋊C4—2921no—
1752C22⋊C4—2921no—
1753C22⋊C4—2921no—
1754C22⋊C4—2921no—
1755C22⋊C4—2921no—
1756C22⋊C4—2921no—
1757C22⋊C4—2921no—
1758C22⋊C4—2921no—
1759C22⋊C4—2921no—
1760C22⋊C4—2921no—
1761C22⋊C4—2921no—
1762C22⋊C4—1462no—
1763C22⋊C4—1462no—
1764C22⋊C4—1462no—
1765C22⋊C4—1462no—
1766C22⋊C4—1462no—
1767C22⋊C4—1462no—
1768C22⋊C4—1462no—
1769C22⋊C4—1462no—
1770C22⋊C4—1462no—
1771C22⋊C4—1462no—
1772C22⋊C4—1462no—
1773C22⋊C4—1462no—
1774C22⋊C4—1462no—
1775C22⋊C4—1462no—
1776C22⋊C4—1462no—
1777C22⋊C4—1462no—
1778C22⋊C4—1462no—
1779C22⋊C4—1462no—
1780C22⋊C4—1462no—
1781C22⋊C4—1462no—
1782C22⋊C4—1462no—
1783C22⋊C4—1462no—
1784C22⋊C4—1462no—
1785C22⋊C4—1462no—
1786C22⋊C4—1462no—
1787C22⋊C4—1462no—
1788C22⋊C4—1462no—
1789C42—1462no—
1790C42—1462no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—21no—
1811C23—21no—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—21no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—44no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—2924no—
1830C23—2924no—
1831C23—2924no—
1832C23—2924no—
1833C23—2924no—
1834C23—2924no—
1835C23—2924no—
1836C23—2924no—
1837C23—2924no—
1838C23—2924no—
1839C23—2924no—
1840C23—2924no—
1841C23—2924no—
1842C23—2924no—
1843C23—2924no—
1844C23—2924no—
1845C23—2924no—
1846C23—292128no—
1847C23—2924no—
1848C23—2924no—
1849C23—2924no—
1850C23—2924no—
1851C23—2924no—
1852C23—2924no—
1853C23—2924no—
1854C23—2924no—
1855C23—2924no—
1856C23—2924no—
1857C23—2924no—
1858C23—2924no—
1859C23—2924no—
1860C23—2924no—
1861C23—2924no—
1862C23—2924no—
1863C23—2924no—
1864C23—2924no—
1865C23—2924no—
1866C23—2924no—
1867C23—2924no—
1868C23—2924no—
1869C23—2924no—
1870C23—2924no—
1871C23—5842no—
1872C23—5842no—
1873C23—5842no—
1874C23—5842no—
1875C23—732no—
1876C23—732no—
1877C23—732no—
1878C23—732no—
1879C23—732no—
1880C23—732no—
1881C23—732no—
1882C23—1468no—
1883C23—1468no—
1884C23—1468no—
1885C23—1468no—
1886C23—1461no—
1887C23—1461no—
1888C23—1461no—
1889C23—1461no—
1890C23—1461no—
1891C23—1461no—
1892C23—1461no—
1893C23—1461no—
1894C23—1461no—
1895C23—1461no—
1896C23—1461no—
1897C23—1461no—
1898C23—1461no—
1899C23—1461no—
1900C23—1461no—
1901C23—1461no—
1902C23—1461no—
1903C23—1461no—
1904C23—1461no—
1905C23—1461no—
1906C23—1461no—
1907C23—1461no—
1908C23—1461no—
1909C23—1461no—
1910C23—1461no—
1911C23—1461no—
1912C23—1461no—
1913C23—1461no—
1914C23—1461no—
1915C23—1461no—
1916C23—1461no—
1917C23—1461no—
1918C23—1461no—
1919C23—1461no—
1920C23—1461no—
1921C23C2×D4×D7312yes—
1922C23C2×D4×D7312yes—
1923C23#1455663612yes—
1924C23#1455663712yes—
1925C23C24×D7311yescharacteristic
1926Q8—2924no—
1927D4—44no—
1928D4—44no—
1929D4—44no—
1930D4—82no—
1931D4—82no—
1932D4—82no—
1933D4—82no—
1934D4—2924no—
1935D4—2924no—
1936D4—2924no—
1937D4—2924no—
1938D4—2924no—
1939D4—2924no—
1940D4—2924no—
1941D4—2924no—
1942D4—2924no—
1943D4—2924no—
1944D4—2924no—
1945D4—2924no—
1946D4—5842no—
1947D4—5842no—
1948D4—5842no—
1949D4—5842no—
1950D4—5842no—
1951D4—5842no—
1952D4—5842no—
1953D4—5842no—
1954D4—5842no—
1955D4—5842no—
1956D4—5842no—
1957D4—5842no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—44no—
1988C2×C4—82no—
1989C2×C4—2924no—
1990C2×C4—2924no—
1991C2×C4—2924no—
1992C2×C4—5842no—
1993C2×C4—5842no—
1994C2×C4—5842no—
1995C2×C4—732no—
1996C2×C4—1468no—
1997C2×C4—1461no—
1998C2×C4—1461no—
1999C2×C4—1461no—
2000C2×C4—1461no—
2001C2×C4—1461no—
2002C2×C4—1461no—
2003C2×C4—1461no—
2004C2×C4—1461no—
2005C2×C4—1461no—
2006C2×C4—1461no—
2007C2×C4—1461no—
2008C2×C4—1461no—
2009C2×C4—1461no—
2010C2×C4—1461no—
2011C2×C4—1461no—
2012C2×C4—1461no—
2013C2×C4—1461no—
2014C2×C4—1461no—
2015C2×C4—1461no—
2016C2×C4—1461no—
2017C2×C4—1461no—
2018C2×C4—1461no—
2019C2×C4—1461no—
2020C2×C4—1461no—
2021C2×C4—1461no—
2022C2×C4—1461no—
2023C2×C4—1461no—
2024C2×C4—1461no—
2025C2×C4—1461no—
2026C2×C4C2×D4×D7312yes—
2027C22—22no—
2028C22—22no—
2029C22—22no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—22no—
2036C22—22no—
2037C22—22no—
2038C22—22no—
2039C22—416no—
2040C22—41no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—41no—
2061C22—41no—
2062C22—41no—
2063C22—29216no—
2064C22—29216no—
2065C22—29216no—
2066C22—29216no—
2067C22—29216no—
2068C22—29216no—
2069C22—2921no—
2070C22—2921no—
2071C22—2921no—
2072C22—2921no—
2073C22—2921no—
2074C22—2921no—
2075C22—2921no—
2076C22—2921no—
2077C22—2921no—
2078C22—2921no—
2079C22—2921no—
2080C22—2921no—
2081C22—2921no—
2082C22—2921no—
2083C22—2921no—
2084C22—2921no—
2085C22—2921no—
2086C22—2921no—
2087C22—2921no—
2088C22—2921no—
2089C22—2921no—
2090C22—2921no—
2091C22—2921no—
2092C22—5848no—
2093C22—734no—
2094C22—1462no—
2095C22—1462no—
2096C22—1462no—
2097C22—1462no—
2098C22—1462no—
2099C22—1462no—
2100C22—1462no—
2101C22—1462no—
2102C22—1462no—
2103C22—1462no—
2104C22—1462no—
2105C22—1462no—
2106C22—1462no—
2107C22—1462no—
2108C22—1462no—
2109C22—1462no—
2110C22—1462no—
2111C22—1462no—
2112C22C22×D4×D7311yescharacteristic
2113C22H(5,𝔽2)×D7311yescharacteristic
2114C22H(5,𝔽2)×D7311yescharacteristic
2115C22H(5,𝔽2)×D7311yescharacteristic
2116C22H(5,𝔽2)×D7311yescharacteristic
2117C22C2×#1455663611yescharacteristic
2118C22C2×#1455663711yescharacteristic
2119C4—22no—
2120C4—41no—
2121C4—41no—
2122C4—41no—
2123C4—41no—
2124C4—41no—
2125C4—41no—
2126C4—41no—
2127C4—41no—
2128C4—41no—
2129C4—2921no—
2130C4—2921no—
2131C4—2921no—
2132C4—2921no—
2133C4—2921no—
2134C4—2921no—
2135C4—2921no—
2136C4—2921no—
2137C4—2921no—
2138C4—1462no—
2139C2—42no—
2140C2—42no—
2141C2—42no—
2142C2—42no—
2143C2—81no—
2144C2—2922no—
2145C2—2922no—
2146C2—2922no—
2147C2—2922no—
2148C2—5841no—
2149C2—1464no—
2150C2#534×D7311yescharacteristic
2151C2#2262355911yescharacteristic
2152C2#2262356111yescharacteristic
2153C2#2262408011yescharacteristic
2154C2#2262408211yescharacteristic
2155C2#2262408311yescharacteristic
2156C2#2262408411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2668C2
hypercenter#2668D73
hypocenterC73#36702
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. C2×#17989153C2semidirect
2. C2×#120×D73C2semidirect
3. #22618209C2semidirect
4. #22618207C2semidirect
5. #22616313C2semidirect
6. #22616311C2semidirect
7. #22616308C2semidirect
8. #22616306C2semidirect
9. #22616147C2semidirect
10. #22616145C2semidirect
11. #22616143C2semidirect
12. #22616142C2semidirect
13. #22616141C2semidirect
14. #22616140C2semidirect
15. #22616137C2semidirect
16. #22616137C2semidirect
17. #22616136C2semidirect
18. #22616135C2semidirect
19. #22616134C2semidirect
20. #22615705C2semidirect
21. #22615703C2semidirect
22. #22614206C2semidirect
23. #22614200C2semidirect
24. #22613304C2semidirect
25. #22613302C2semidirect
26. #22613300C2semidirect
27. #22613298C2semidirect
28. #22613248C2semidirect
29. #22613248C2semidirect
30. #22612505C2semidirect
31. C73×#2668C2semidirect
33. C22×#11924028C22semidirect
38. C2×#14556587C22semidirect
39. C2×#14556587C22semidirect
40. C2×#14556577C22semidirect
41. C2×#14556577C22semidirect
42. C2×#14556566C22semidirect
43. C2×#14556566C22semidirect
44. C2×#14556565C22semidirect
45. C2×#14556565C22semidirect
46. C2×#14556564C22semidirect
47. C2×#14556564C22semidirect
48. C2×#14556563C22semidirect
49. C2×#14556563C22semidirect
50. C2×#14556562C22semidirect
51. C2×#14556562C22semidirect
58. C2×#14556561C22semidirect
59. C2×#14556561C22semidirect
60. C2×#14556561C22semidirect
61. C2×#14556561C22semidirect
63. C2×#14556560C22semidirect
70. C2×#14556559C22semidirect
71. C2×#14556559C22semidirect
72. C2×#14556559C22semidirect
73. C2×#14556559C22semidirect
75. C2×#14556549C22semidirect
76. C22×#11924005C22semidirect
80. C2×C22⋊C4×D73C22semidirect
81. #17988524C22semidirect
82. #17988523C22semidirect
83. #17988522C22semidirect
84. #17988516C22semidirect
85. #17988516C22semidirect
86. #17988515C22semidirect
87. #17988515C22semidirect
88. #17988514C22semidirect
89. #17988514C22semidirect
90. #17988513C22semidirect
91. #17988513C22semidirect
92. #17988512C22semidirect
93. #17988512C22semidirect
94. #17988505C22semidirect
95. #17988505C22semidirect
96. #17988504C22semidirect
97. #17988504C22semidirect
98. #17988503C22semidirect
99. #17988503C22semidirect
100. #17988503C22semidirect
101. #17988503C22semidirect
102. #17988502C22semidirect
103. #17988502C22semidirect
104. #17988502C22semidirect
105. #17988502C22semidirect
106. #17988501C22semidirect
107. #17988501C22semidirect
108. #17988500C22semidirect
109. #17988500C22semidirect
110. #17988499C22semidirect
111. #17988499C22semidirect
112. #17988497C22semidirect
113. #17988496C22semidirect
114. #17988496C22semidirect
115. #17988496C22semidirect
116. #17988496C22semidirect
117. #17988496C22semidirect
118. #17988495C22semidirect
119. #17988495C22semidirect
120. #17988495C22semidirect
121. #17988495C22semidirect
122. #17988495C22semidirect
123. #17988481C22semidirect
124. #17988481C22semidirect
125. #17988480C22semidirect
126. #17988480C22semidirect
127. #17988477C22semidirect
128. #17988477C22semidirect
129. #17988476C22semidirect
130. #17988476C22semidirect
131. #17988467C22semidirect
132. #17988467C22semidirect
133. #17988466C22semidirect
134. #17988466C22semidirect
135. #17988466C22semidirect
136. #17988466C22semidirect
137. #17988465C22semidirect
138. #17988465C22semidirect
139. #17988465C22semidirect
140. #17988465C22semidirect
141. #17988465C22semidirect
142. #17988465C22semidirect
143. #17988465C22semidirect
144. #17988465C22semidirect
145. #17988464C22semidirect
146. #17988464C22semidirect
147. #17988463C22semidirect
148. #17988463C22semidirect
149. #17988463C22semidirect
150. #17988463C22semidirect
151. #17988463C22semidirect
152. #17988463C22semidirect
153. #17988463C22semidirect
154. #17988463C22semidirect
155. #17988461C22semidirect
156. #17988461C22semidirect
157. #17988458C22semidirect
158. #17988458C22semidirect
159. #17988449C22semidirect
160. #17988449C22semidirect
161. #17988443C22semidirect
168. #17988442C22semidirect
169. #17988442C22semidirect
170. #17988442C22semidirect
171. #17988442C22semidirect
172. #17988442C22semidirect
173. #17988442C22semidirect
174. C2×#121×C73C22semidirect
175. C2×#121×C73C22semidirect
177. C2×#120×C73C22semidirect
178. #399×C73C22semidirect
179. #397×C73C22semidirect
180. #397×C73C22semidirect
181. #394×C73C22semidirect
182. #394×C73C22semidirect
183. #392×C73C22semidirect
184. #386×C73C22semidirect
185. #386×C73C22semidirect
186. #386×C73C22semidirect
187. #386×C73C22semidirect
188. #379×C73C22semidirect
206. C22×Dic146C23semidirect
214. C22×D292C23semidirect
228. C22×C22⋊D73C23semidirect
229. C22×C22⋊D73C23semidirect
230. C22×C22⋊D73C23semidirect
239. C2×D4×D73D4semidirect
240. C23×Dic73C23semidirect
244. C22×C4×D73C23semidirect
245. C22×C4×D73C23semidirect
246. C22×C4×D73C23semidirect
284. C2×C4⋊Dic73C23semidirect
285. C2×C4⋊Dic73C23semidirect
286. C2×C4⋊Dic73C23semidirect
287. C2×#11924007C23semidirect
288. C2×#11924007C23semidirect
289. C2×#11924007C23semidirect
290. C2×#11924007C23semidirect
303. C2×C22⋊Dic73C23semidirect
304. C2×C22⋊Dic73C23semidirect
305. C2×C22⋊Dic73C23semidirect
306. C2×C22⋊Dic73C23semidirect
338. C2×#11924005C23semidirect
339. C2×#11924005C23semidirect
340. C2×#11924005C23semidirect
341. C2×#11924005C23semidirect
342. C2×#11924005C23semidirect
343. C2×#11924005C23semidirect
344. C2×#11924005C23semidirect
345. C2×#11924005C23semidirect
350. C2×C4×Dic73C23semidirect
351. C2×C4×Dic73C23semidirect
352. #14556498C23semidirect
353. #14556498C23semidirect
354. #14556498C23semidirect
355. #14556498C23semidirect
356. #14556498C23semidirect
357. #14556498C23semidirect
358. #14556498C23semidirect
359. #14556498C23semidirect
360. #14556498C23semidirect
361. #14556498C23semidirect
362. #14556498C23semidirect
363. #14556498C23semidirect
364. #14556498C23semidirect
365. #14556498C23semidirect
366. #14556498C23semidirect
367. #14556498C23semidirect
368. #14556498C23semidirect
369. #14556498C23semidirect
377. C22×D4×C73C23semidirect
378. C23×C4×C73C23semidirect
379. C23×C4×C73C23semidirect
384. C2×C4⋊C4×C73C23semidirect
385. C2×C4⋊C4×C73C23semidirect
386. C2×C4⋊C4×C73C23semidirect
399. C2×C22⋊C4×C73C23semidirect
400. C2×C22⋊C4×C73C23semidirect
401. C2×C22⋊C4×C73C23semidirect
402. C2×C22⋊C4×C73C23semidirect
403. #95×C73C23semidirect
404. #95×C73C23semidirect
405. #95×C73C23semidirect
406. #95×C73C23semidirect
407. #95×C73C23semidirect
408. #95×C73C23semidirect
1098. #2668D73semidirect
1110. C73#36702semidirect
1131. C2×#121C2×D73semidirect
1132. C2×#121C2×D73semidirect
1157. C2×#120C2×D73semidirect
1167. #399C2×D73semidirect
1178. #397C2×D73semidirect
1179. #397C2×D73semidirect
1194. #394C2×D73semidirect
1195. #394C2×D73semidirect
1211. #392C2×D73semidirect
1244. #386C2×D73semidirect
1245. #386C2×D73semidirect
1246. #386C2×D73semidirect
1247. #386C2×D73semidirect
1267. #379C2×D73semidirect
1326. C22×D4C22×D73semidirect
1334. C23×C4C22×D73semidirect
1335. C23×C4C22×D73semidirect
1384. C2×C4⋊C4C22×D73semidirect
1385. C2×C4⋊C4C22×D73semidirect
1386. C2×C4⋊C4C22×D73semidirect
1458. C2×C22⋊C4C22×D73semidirect
1459. C2×C22⋊C4C22×D73semidirect
1460. C2×C22⋊C4C22×D73semidirect
1461. C2×C22⋊C4C22×D73semidirect
1482. #95C22×D73semidirect
1483. #95C22×D73semidirect
1484. #95C22×D73semidirect
1485. #95C22×D73semidirect
1486. #95C22×D73semidirect
1487. #95C22×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891532
C2×#120×D732
#226182092
#226182072
#226163132
#226163112
#226163082
#226163062
#226161472
#226161452
#226161432
#226161422
#226161412
#226161402
#226161372
#226161362
#226161352
#226161342
#226157052
#226157032
#226142062
#226142002
#226133042
#226133022
#226133002
#226132982
#226132482
#226125052
C73×#26682
#3670273