Finite Group Databasebeta

← #33292902

Subgroups — #33292902

Order 18688.

4170 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989145C211yesmaximal, characteristic, complemented
2C2×#120×D73C211yesmaximal, characteristic, complemented
3#22618209C211yesmaximal, characteristic, complemented
4#22618207C211yesmaximal, characteristic, complemented
5#22616496C211yesmaximal, characteristic, complemented
6#22616494C211yesmaximal, characteristic, complemented
7#22616491C211yesmaximal, characteristic, complemented
8#22616489C211yesmaximal, characteristic, complemented
9#22616266C211yesmaximal, characteristic, complemented
10#22616265C211yesmaximal, characteristic, complemented
11#22616264C211yesmaximal, characteristic, complemented
12#22616264C211yesmaximal, characteristic, complemented
13#22616259C211yesmaximal, characteristic, complemented
14#22616258C211yesmaximal, characteristic, complemented
15#22616257C211yesmaximal, characteristic, complemented
16#22616256C211yesmaximal, characteristic, complemented
17#22616251C211yesmaximal, characteristic, complemented
18#22616250C211yesmaximal, characteristic, complemented
19#22616249C211yesmaximal, characteristic, complemented
20#22615705C211yesmaximal, characteristic, complemented
21#22615703C211yesmaximal, characteristic, complemented
22#22613315C211yesmaximal, characteristic, complemented
23#22613313C211yesmaximal, characteristic, complemented
24#22613311C211yesmaximal, characteristic, complemented
25#22613309C211yesmaximal, characteristic, complemented
26#22613257C211yesmaximal, characteristic, complemented
27#22613255C211yesmaximal, characteristic, complemented
28#22613240C211yesmaximal, characteristic, complemented
29#22613240C211yesmaximal, characteristic, complemented
30#22612510C211yesmaximal, characteristic, complemented
31C73×#2678C211yesmaximal, characteristic, complemented
32C25×D73C2211yescharacteristic, complemented
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C22×D4×D73C2211yescharacteristic
36C22×D4×D73C2211yescharacteristic, complemented
37#17989145—28no—
38C2×#14556576C2211yescharacteristic, complemented
39C2×#14556576C2211yescharacteristic, complemented
40C2×#14556575C2211yescharacteristic, complemented
41C2×#14556574C2211yescharacteristic, complemented
42C2×#14556573C2211yescharacteristic, complemented
43C2×#14556573C2211yescharacteristic, complemented
44C2×#14556572C2211yescharacteristic, complemented
45C2×#14556565C2211yescharacteristic, complemented
46C2×#14556563C2211yescharacteristic, complemented
47C2×#14556563C2211yescharacteristic, complemented
48C2×#14556561C2211yescharacteristic
49C2×#14556561C2211yescharacteristic
50C2×#14556561C2211yescharacteristic
51C2×#14556561C2211yescharacteristic
52C2×#14556561C2211yescharacteristic
53C2×#14556561C2211yescharacteristic
54C2×#14556561C2211yescharacteristic, complemented
55C2×#14556561C2211yescharacteristic, complemented
56C2×#14556561C2211yescharacteristic, complemented
57C2×#14556561C2211yescharacteristic, complemented
58C2×#14556561C2211yescharacteristic, complemented
59C2×#14556561C2211yescharacteristic, complemented
60C2×#14556560C2211yescharacteristic
61C2×#14556560C2211yescharacteristic, complemented
62C2×#14556559C2211yescharacteristic
63C2×#14556559C2211yescharacteristic
64C2×#14556559C2211yescharacteristic
65C2×#14556559C2211yescharacteristic, complemented
66C2×#14556559C2211yescharacteristic, complemented
67C2×#14556559C2211yescharacteristic, complemented
68C2×#14556559C2211yescharacteristic, complemented
69C2×#14556559C2211yescharacteristic, complemented
70C2×#14556559C2211yescharacteristic, complemented
71C2×#14556559C2211yescharacteristic, complemented
72C2×#14556559C2211yescharacteristic, complemented
73C2×#14556559C2211yescharacteristic, complemented
74#120×D73—28no—
75C2×#14556549C2211yescharacteristic, complemented
76C2×#14556548C2211yescharacteristic, complemented
77C22×#11924005C2211yescharacteristic, complemented
78C2×C22⋊C4×D73C2211yescharacteristic, complemented
79C2×C22⋊C4×D73C2211yescharacteristic, complemented
80C2×C22⋊C4×D73C2211yescharacteristic, complemented
81#17988516C2211yescharacteristic, complemented
82#17988516C2211yescharacteristic, complemented
83#17988515C2211yescharacteristic, complemented
84#17988515C2211yescharacteristic, complemented
85#17988514C2211yescharacteristic, complemented
86#17988513C2211yescharacteristic, complemented
87#17988512C2211yescharacteristic, complemented
88#17988511C2211yescharacteristic, complemented
89#17988510C2211yescharacteristic, complemented
90#17988510C2211yescharacteristic, complemented
91#17988510C2211yescharacteristic, complemented
92#17988509C2211yescharacteristic, complemented
93#17988509C2211yescharacteristic, complemented
94#17988509C2211yescharacteristic, complemented
95#17988505C2211yescharacteristic, complemented
96#17988505C2211yescharacteristic, complemented
97#17988505C2211yescharacteristic, complemented
98#17988505C2211yescharacteristic, complemented
99#17988504C2211yescharacteristic, complemented
100#17988504C2211yescharacteristic, complemented
101#17988504C2211yescharacteristic, complemented
102#17988504C2211yescharacteristic, complemented
103#17988503C2211yescharacteristic, complemented
104#17988503C2211yescharacteristic, complemented
105#17988503C2211yescharacteristic, complemented
106#17988503C2211yescharacteristic, complemented
107#17988503C2211yescharacteristic, complemented
108#17988503C2211yescharacteristic, complemented
109#17988502C2211yescharacteristic, complemented
110#17988502C2211yescharacteristic, complemented
111#17988502C2211yescharacteristic, complemented
112#17988502C2211yescharacteristic, complemented
113#17988502C2211yescharacteristic, complemented
114#17988502C2211yescharacteristic, complemented
115#17988501C2211yescharacteristic, complemented
116#17988501C2211yescharacteristic, complemented
117#17988496C2211yescharacteristic, complemented
118#17988496C2211yescharacteristic, complemented
119#17988495C2211yescharacteristic, complemented
120#17988495C2211yescharacteristic, complemented
121#17988495C2211yescharacteristic, complemented
122#17988495C2211yescharacteristic, complemented
123#17988490C2211yescharacteristic, complemented
124#17988490C2211yescharacteristic, complemented
125#17988489C2211yescharacteristic, complemented
126#17988489C2211yescharacteristic, complemented
127#17988488C2211yescharacteristic, complemented
128#17988488C2211yescharacteristic, complemented
129#17988487C2211yescharacteristic, complemented
130#17988487C2211yescharacteristic, complemented
131#17988487C2211yescharacteristic, complemented
132#17988487C2211yescharacteristic, complemented
133#17988487C2211yescharacteristic, complemented
134#17988487C2211yescharacteristic, complemented
135#17988487C2211yescharacteristic, complemented
136#17988487C2211yescharacteristic, complemented
137#17988481C2211yescharacteristic, complemented
138#17988480C2211yescharacteristic, complemented
139#17988479C2211yescharacteristic, complemented
140#17988478C2211yescharacteristic, complemented
141#17988477C2211yescharacteristic, complemented
142#17988476C2211yescharacteristic, complemented
143#17988475C2211yescharacteristic, complemented
144#17988467C2211yescharacteristic, complemented
145#17988466C2211yescharacteristic, complemented
146#17988465C2211yescharacteristic, complemented
147#17988465C2211yescharacteristic, complemented
148#17988465C2211yescharacteristic, complemented
149#17988465C2211yescharacteristic, complemented
150#17988464C2211yescharacteristic, 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#17988443C2211yescharacteristic, complemented
160#17988442C2211yescharacteristic, complemented
161#17988442C2211yescharacteristic, complemented
162#17988442C2211yescharacteristic, complemented
163#17988442C2211yescharacteristic, complemented
164#17988442C2211yescharacteristic, complemented
165#17988442C2211yescharacteristic, complemented
166#17988442C2211yescharacteristic, complemented
167#17988442C2211yescharacteristic, complemented
168#17988442C2211yescharacteristic, complemented
169#17988442C2211yescharacteristic, complemented
170#17988442C2211yescharacteristic, complemented
171#17988442C2211yescharacteristic, complemented
172#17988442C2211yescharacteristic, complemented
173#17988442C2211yescharacteristic, complemented
174C2×#123×C73C2211yescharacteristic, complemented
175C2×#121×C73C2211yescharacteristic, complemented
176C2×#120×C73C2211yescharacteristic, complemented
177C2×#120×C73C2211yescharacteristic, complemented
178#397×C73C2211yescharacteristic, complemented
179#396×C73C2211yescharacteristic, complemented
180#394×C73C2211yescharacteristic, complemented
181#394×C73C2211yescharacteristic, complemented
182#392×C73C2211yescharacteristic, complemented
183#392×C73C2211yescharacteristic, complemented
184#390×C73C2211yescharacteristic, complemented
185#390×C73C2211yescharacteristic, complemented
186#388×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
203C24×D73C2311yescharacteristic, complemented
204C22×D292C2311yescharacteristic
205C22×D292C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×C22⋊D73C2311yescharacteristic
212C22×C22⋊D73C2311yescharacteristic
213C22×C22⋊D73C2311yescharacteristic
214C22×C22⋊D73C2311yescharacteristic
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, complemented
225C2×D4×D73—24no—
226C2×D4×D73—24no—
227C2×D4×D73—24no—
228C2×D4×D73—42no—
229C2×D4×D73—42no—
230C2×D4×D73—42no—
231C2×D4×D73—42no—
232C2×D4×D73—42no—
233C2×D4×D73—42no—
234C2×D4×D73—42no—
235C2×D4×D73—42no—
236C2×D4×D73D418yescomplemented
237C23×Dic73C2311yescharacteristic, complemented
238C22×C4×D73C2311yescharacteristic
239C22×C4×D73C2311yescharacteristic
240C22×C4×D73C2311yescharacteristic
241C22×C4×D73C2311yescharacteristic, complemented
242#14556576—24no—
243#14556576—24no—
244#14556575—42no—
245#14556574—42no—
246#14556573—24no—
247#14556573—24no—
248#14556572—42no—
249#14556565—24no—
250#14556563—24no—
251#14556563—24no—
252#14556561—24no—
253#14556561—24no—
254#14556561—24no—
255#14556561—24no—
256#14556561—24no—
257#14556561—42no—
258#14556561—42no—
259#14556561—42no—
260#14556561—42no—
261#14556561—42no—
262#14556561—42no—
263#14556561—42no—
264#14556560—24no—
265#14556560—42no—
266#14556559—24no—
267#14556559—24no—
268#14556559—24no—
269#14556559—24no—
270#14556559—24no—
271#14556559—42no—
272#14556559—42no—
273#14556559—42no—
274#14556559—42no—
275#14556559—42no—
276#14556559—42no—
277#14556559—42no—
278#14556549—42no—
279#14556548—42no—
280C2×C4⋊Dic73C2311yescharacteristic, complemented
281C2×C4⋊Dic73C2311yescharacteristic, complemented
282C2×C4⋊Dic73C2311yescharacteristic, complemented
283C2×C4⋊Dic73C2311yescharacteristic, complemented
284C2×#11924007C2311yescharacteristic, complemented
285C2×#11924007C2311yescharacteristic, complemented
286C2×#11924007C2311yescharacteristic, complemented
287C2×#11924007C2311yescharacteristic, complemented
288C2×#11924007C2311yescharacteristic, complemented
289C2×#11924007C2311yescharacteristic, complemented
290C2×#11924007C2311yescharacteristic, complemented
291C2×#11924007C2311yescharacteristic, complemented
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, complemented
305C2×C22⋊Dic73C2311yescharacteristic, complemented
306C2×C22⋊Dic73C2311yescharacteristic, complemented
307C2×C22⋊Dic73C2311yescharacteristic, complemented
308C2×C22⋊Dic73C2311yescharacteristic, complemented
309C2×#11924005—24no—
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
339C2×#11924005C2311yescharacteristic
340C2×#11924005C2311yescharacteristic, complemented
341C2×#11924005C2311yescharacteristic, complemented
342C2×#11924005C2311yescharacteristic, complemented
343C2×#11924005C2311yescharacteristic, complemented
344C2×#11924005C2311yescharacteristic, complemented
345C2×#11924005C2311yescharacteristic, complemented
346C2×#11924005C2311yescharacteristic, complemented
347C2×#11924005C2311yescharacteristic, complemented
348C2×#11924005C2311yescharacteristic, complemented
349C2×#11924005C2311yescharacteristic, complemented
350C2×#11924005C2311yescharacteristic, complemented
351C2×#11924005C2311yescharacteristic, complemented
352C22⋊C4×D73—24no—
353C22⋊C4×D73—24no—
354C22⋊C4×D73—24no—
355C2×C4×Dic73C2311yescharacteristic, complemented
356C2×C4×Dic73C2311yescharacteristic, complemented
357C2×C4×Dic73C2311yescharacteristic, 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
379#123×C73—42no—
380#121×C73—24no—
381#120×C73—24no—
382#120×C73—42no—
383C2×C4⋊C4×C73C2311yescharacteristic, complemented
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
403C2×C22⋊C4×C73C2311yescharacteristic, complemented
404C2×C42×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—22no—
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—41no—
457C23×D73—41no—
458C23×D73—41no—
459C23×D73—41no—
460C23×D73—41no—
461C23×D73—41no—
462C23×D73—41no—
463C23×D73—416no—
464C23×D73—416no—
465C23×D73—416no—
466C23×D73—416no—
467C23×D73—416no—
468C23×D73—416no—
469C23×D73—416no—
470C23×D73C2×D414yes—
471C23×D73C2×D414yes—
472C23×D73C2411yescharacteristic
473C23×D73C2411yescharacteristic
474C23×D73C2411yescharacteristic
475C23×D73C2411yescharacteristic
476C23×D73C2411yescharacteristic
477C23×D73C2411yescharacteristic
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—22no—
487C2×D292—22no—
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—41no—
518C2×C22⋊D73—41no—
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⋊D73C2×D414yes—
540C2×C22⋊D73C2×D414yes—
541D4×D73—416no—
542D4×D73—416no—
543D4×D73—416no—
544D4×D73—416no—
545C22×Dic73—22no—
546C22×Dic73—41no—
547C22×Dic73—41no—
548C22×Dic73C2411yescharacteristic
549C22×Dic73C2411yescharacteristic
550C22×Dic73C2411yescharacteristic
551C22×Dic73C2411yescharacteristic
552C22×Dic73C2411yescharacteristic
553C22×Dic73C2411yescharacteristic
554C22×Dic73C2411yescharacteristic
555C22×Dic73C2411yescharacteristic
556C22×Dic73C2411yescharacteristic
557C22×Dic73C2411yescharacteristic
558C2×C4×D73—22no—
559C2×C4×D73—22no—
560C2×C4×D73—22no—
561C2×C4×D73—22no—
562C2×C4×D73—22no—
563C2×C4×D73—41no—
564C2×C4×D73—41no—
565C2×C4×D73—41no—
566C2×C4×D73—41no—
567C2×C4×D73—41no—
568C2×C4×D73—41no—
569C2×C4×D73C2×D414yes—
570C4⋊Dic73—22no—
571C4⋊Dic73—41no—
572C4⋊Dic73—41no—
573C4⋊Dic73—41no—
574#11924007—22no—
575#11924007—22no—
576#11924007—41no—
577#11924007—41no—
578#11924007—41no—
579#11924007—41no—
580#11924007—41no—
581#11924007—41no—
582C22⋊Dic73—22no—
583C22⋊Dic73—22no—
584C22⋊Dic73—22no—
585C22⋊Dic73—22no—
586C22⋊Dic73—22no—
587C22⋊Dic73—22no—
588C22⋊Dic73—22no—
589C22⋊Dic73—41no—
590C22⋊Dic73—41no—
591C22⋊Dic73—41no—
592C22⋊Dic73—41no—
593C22⋊Dic73—41no—
594C22⋊Dic73—41no—
595C22⋊Dic73—41no—
596C22⋊Dic73—41no—
597C22⋊Dic73—41no—
598C22⋊Dic73—41no—
599#11924005—22no—
600#11924005—22no—
601#11924005—22no—
602#11924005—22no—
603#11924005—22no—
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—41no—
622#11924005—41no—
623#11924005—41no—
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—
641C4×Dic73—41no—
642C4×Dic73—41no—
643C4×Dic73—41no—
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×C73C2411yescharacteristic
681C22×C4×C73C2411yescharacteristic
682C22×C4×C73C2411yescharacteristic
683C22×C4×C73C2411yescharacteristic
684C22×C4×C73C2411yescharacteristic
685C22×C4×C73C2411yescharacteristic
686C22×C4×C73C2411yescharacteristic
687C22×C4×C73C2411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690C4⋊C4×C73—22no—
691C4⋊C4×C73—41no—
692C4⋊C4×C73—41no—
693C4⋊C4×C73—41no—
694C22⋊C4×C73—22no—
695C22⋊C4×C73—22no—
696C22⋊C4×C73—22no—
697C22⋊C4×C73—22no—
698C22⋊C4×C73—22no—
699C22⋊C4×C73—22no—
700C22⋊C4×C73—22no—
701C22⋊C4×C73—41no—
702C22⋊C4×C73—41no—
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—
711C42×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—44no—
831C22×D73—4128no—
832C22×D73—44no—
833C22×D73—44no—
834C22×D73—44no—
835C22×D73—44no—
836C22×D73—44no—
837C22×D73—82no—
838C22×D73—82no—
839C22×D73—82no—
840C22×D73—82no—
841C22×D73—82no—
842C22×D73—82no—
843C22×D73—82no—
844C22×D73—82no—
845C22×D73—82no—
846C22×D73—82no—
847C22×D73C22×D412yes—
848C22×D73C22×D412yes—
849C22×D73C22×D412yes—
850C22×D73H(5,𝔽2)12yes—
851C22×D73H(5,𝔽2)12yes—
852C22×D73H(5,𝔽2)12yes—
853C22×D73H(5,𝔽2)12yes—
854D4×C73—44no—
855D4×C73—44no—
856D4×C73—44no—
857D4×C73—44no—
858D4×C73—82no—
859D4×C73—82no—
860D4×C73—82no—
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—21no—
884C2×C4×C73—21no—
885C2×C4×C73—21no—
886C2×C4×C73—21no—
887C2×C4×C73—21no—
888C2×C4×C73—21no—
889C2×C4×C73—21no—
890C2×C4×C73—82no—
891C2×C4×C73C22×D412yes—
892C22⋊D73—44no—
893C22⋊D73—44no—
894C22⋊D73—44no—
895C22⋊D73—44no—
896C22⋊D73—44no—
897C22⋊D73—44no—
898C22⋊D73—44no—
899C22⋊D73—44no—
900C22⋊D73—82no—
901C22⋊D73—82no—
902C22⋊D73—82no—
903C22⋊D73—82no—
904C22⋊D73—82no—
905C22⋊D73—82no—
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—21no—
932C2×Dic73—21no—
933C2×Dic73—21no—
934C2×Dic73—21no—
935C2×Dic73—82no—
936C2×Dic73C22×D412yes—
937D292—44no—
938D292—44no—
939D292—44no—
940D292—44no—
941D292—82no—
942D292—82no—
943D292—82no—
944C4×D73—28no—
945C4×D73—44no—
946C4×D73—44no—
947C4×D73—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—88no—
1040C2×D73#53414yes—
1041C4×C73—22no—
1042C4×C73—41no—
1043C4×C73—41no—
1044C4×C73—41no—
1045C4×C73—41no—
1046C4×C73—41no—
1047C4×C73—41no—
1048C4×C73—41no—
1049C4×C73—41no—
1050C4×C73—41no—
1051Dic73—22no—
1052Dic73—41no—
1053Dic73—41no—
1054Dic73—41no—
1055Dic73—41no—
1056Dic73—41no—
1057Dic73—41no—
1058Dic73—41no—
1059Dic73—41no—
1060Dic73—41no—
1061#36714—731nomaximal, Sylow
1062C2×C73—42no—
1063C2×C73—42no—
1064C2×C73—42no—
1065C2×C73—42no—
1066C2×C73—81no—
1067C2×C73C2×#53411yescharacteristic
1068C2×C73#348411yescharacteristic
1069C2×C73#348411yescharacteristic
1070C2×C73#353211yescharacteristic
1071C2×C73#353211yescharacteristic
1072C2×C73#353211yescharacteristic
1073C2×C73#353211yescharacteristic
1074D73—24no—
1075D73—42no—
1076D73—42no—
1077D73—42no—
1078D73—42no—
1079D73—81no—
1080C2×#534—731no—
1081C22×#120—731no—
1082#2846—731no—
1083#2846—731no—
1084#2697—731no—
1085#2697—731no—
1086#2697—731no—
1087#2697—731no—
1088#2679—731no—
1089#2679—731no—
1090#2679—731no—
1091#2679—731no—
1092#2678—731no—
1093#2678—731no—
1094#2678—731no—
1095#2678—731no—
1096#2678—731no—
1097#2678—731no—
1098#2678—731no—
1099#2678D7311yescharacteristic, complemented
1100#2622—731no—
1101#2622—731no—
1102#2411—731no—
1103#2411—731no—
1104#2411—731no—
1105#2411—731no—
1106#2405—731no—
1107#2405—731no—
1108#2403—731no—
1109#2403—731no—
1110#2309—731no—
1111C73#3671411yescharacteristic, complemented, Sylow
1112C26—731no—
1113C23×D4—731no—
1114C23×D4—731no—
1115C23×D4—731no—
1116C23×D4—731no—
1117#534—1468no—
1118C2×#123—731no—
1119C2×#123—731no—
1120C2×#123—731no—
1121C2×#123—731no—
1122C2×#123—731no—
1123C2×#123—731no—
1124C2×#123—731no—
1125C2×#123C2×D7311yescharacteristic, complemented
1126C2×#121—731no—
1127C2×#121—731no—
1128C2×#121—731no—
1129C2×#121C2×D7311yescharacteristic, complemented
1130C2×#120—731no—
1131C2×#120—731no—
1132C2×#120—731no—
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—731no—
1156C2×#120—1468no—
1157C2×#120C2×D7311yescharacteristic, complemented
1158C2×#120C2×D7311yescharacteristic, complemented
1159C2×#117—731no—
1160C2×#117—731no—
1161C22×C22⋊C4—731no—
1162C22×C22⋊C4—731no—
1163C22×C22⋊C4—731no—
1164C22×C22⋊C4—731no—
1165#397—731no—
1166#397—731no—
1167#397—731no—
1168#397—731no—
1169#397—731no—
1170#397—731no—
1171#397—731no—
1172#397C2×D7311yescharacteristic, complemented
1173#396—731no—
1174#396—731no—
1175#396—731no—
1176#396—731no—
1177#396—731no—
1178#396—731no—
1179#396—731no—
1180#396C2×D7311yescharacteristic, complemented
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#394—731no—
1195#394—731no—
1196#394—731no—
1197#394—731no—
1198#394—731no—
1199#394—731no—
1200#394—731no—
1201#394—731no—
1202#394—731no—
1203#394C2×D7311yescharacteristic, complemented
1204#394C2×D7311yescharacteristic, complemented
1205#392—731no—
1206#392—731no—
1207#392—731no—
1208#392—731no—
1209#392—731no—
1210#392—731no—
1211#392C2×D7311yescharacteristic, complemented
1212#392C2×D7311yescharacteristic, complemented
1213#390—731no—
1214#390—731no—
1215#390—731no—
1216#390—731no—
1217#390—731no—
1218#390—731no—
1219#390—731no—
1220#390—731no—
1221#390—731no—
1222#390—731no—
1223#390—731no—
1224#390—731no—
1225#390—731no—
1226#390—731no—
1227#390C2×D7311yescharacteristic, complemented
1228#390C2×D7311yescharacteristic, complemented
1229#388—731no—
1230#388—731no—
1231#388—731no—
1232#388—731no—
1233#388—731no—
1234#388—731no—
1235#388—731no—
1236#388C2×D7311yescharacteristic, complemented
1237#386—731no—
1238#386—731no—
1239#386—731no—
1240#386—731no—
1241#386—731no—
1242#386—731no—
1243#386—731no—
1244#386—731no—
1245#386—731no—
1246#386—731no—
1247#386—731no—
1248#386C2×D7311yescharacteristic, complemented
1249#385—731no—
1250#385—731no—
1251#385—731no—
1252#385—731no—
1253#379—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#379—731no—
1268#379C2×D7311yescharacteristic, complemented
1269C25—2922no—
1270C25—2922no—
1271C25—2922no—
1272C25—2922no—
1273C25—2922no—
1274C25—2922no—
1275C25—731no—
1276C25—731no—
1277C25—731no—
1278C25—731no—
1279C25—731no—
1280C25—731no—
1281C25—731no—
1282C25—731no—
1283C25—1464no—
1284C25C22×D7311yescharacteristic
1285C22×D4—2922no—
1286C22×D4—2922no—
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—1464no—
1316C22×D4—1464no—
1317C22×D4—1464no—
1318C22×D4C22×D7311yescharacteristic
1319C22×D4C22×D7311yescharacteristic
1320C22×D4C22×D7311yescharacteristic
1321C22×D4C22×D7311yescharacteristic
1322C22×D4C22×D7311yescharacteristic
1323C22×D4C22×D7311yescharacteristic
1324C22×D4C22×D7311yescharacteristic, complemented
1325C23×C4—731no—
1326C23×C4—731no—
1327C23×C4—731no—
1328C23×C4—731no—
1329C23×C4—731no—
1330C23×C4C22×D7311yescharacteristic, complemented
1331#123—42no—
1332#123—2922no—
1333#123—2922no—
1334#123—2922no—
1335#123—1464no—
1336#123—1464no—
1337#123—1464no—
1338#123—1464no—
1339#121—24no—
1340#121—1464no—
1341#121—1464no—
1342#121—1464no—
1343#120—24no—
1344#120—42no—
1345#120—2922no—
1346#120—2922no—
1347#120—2922no—
1348#120—2922no—
1349#120—2922no—
1350#120—2922no—
1351#120—2922no—
1352#120—2922no—
1353#120—2922no—
1354#120—2922no—
1355#120—2922no—
1356#120—2922no—
1357#120—2922no—
1358#120—2922no—
1359#120—2922no—
1360#120—1464no—
1361#120—1464no—
1362#120—1464no—
1363#120—1464no—
1364#120—1464no—
1365#120—1464no—
1366#120—1464no—
1367#120—1464no—
1368#120—1464no—
1369#120—1464no—
1370#120—1464no—
1371#117—2922no—
1372#117—2922no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—731no—
1375C2×C4⋊C4—731no—
1376C2×C4⋊C4—731no—
1377C2×C4⋊C4—731no—
1378C2×C4⋊C4—731no—
1379C2×C4⋊C4—731no—
1380C2×C4⋊C4—731no—
1381C2×C4⋊C4—731no—
1382C2×C4⋊C4—731no—
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4—731no—
1385C2×C4⋊C4C22×D7311yescharacteristic, complemented
1386C2×C4⋊C4C22×D7311yescharacteristic, complemented
1387C2×C4⋊C4C22×D7311yescharacteristic, complemented
1388C2×C4⋊C4C22×D7311yescharacteristic, complemented
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—731no—
1444C2×C22⋊C4—731no—
1445C2×C22⋊C4—731no—
1446C2×C22⋊C4—731no—
1447C2×C22⋊C4—731no—
1448C2×C22⋊C4—1464no—
1449C2×C22⋊C4—1464no—
1450C2×C22⋊C4—1464no—
1451C2×C22⋊C4—1464no—
1452C2×C22⋊C4C22×D7311yescharacteristic
1453C2×C22⋊C4C22×D7311yescharacteristic
1454C2×C22⋊C4C22×D7311yescharacteristic
1455C2×C22⋊C4C22×D7311yescharacteristic
1456C2×C22⋊C4C22×D7311yescharacteristic
1457C2×C22⋊C4C22×D7311yescharacteristic
1458C2×C22⋊C4C22×D7311yescharacteristic
1459C2×C22⋊C4C22×D7311yescharacteristic
1460C2×C22⋊C4C22×D7311yescharacteristic
1461C2×C22⋊C4C22×D7311yescharacteristic
1462C2×C22⋊C4C22×D7311yescharacteristic
1463C2×C22⋊C4C22×D7311yescharacteristic
1464C2×C22⋊C4C22×D7311yescharacteristic, complemented
1465C2×C22⋊C4C22×D7311yescharacteristic, complemented
1466C2×C22⋊C4C22×D7311yescharacteristic, complemented
1467C2×C22⋊C4C22×D7311yescharacteristic, complemented
1468C2×C22⋊C4C22×D7311yescharacteristic, complemented
1469C2×C42—731no—
1470C2×C42—731no—
1471C2×C42—731no—
1472C2×C42C22×D7311yescharacteristic, complemented
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#95—731no—
1483#95—731no—
1484#95—731no—
1485#95C22×D7311yescharacteristic, complemented
1486#95C22×D7311yescharacteristic, complemented
1487#95C22×D7311yescharacteristic, complemented
1488#95C22×D7311yescharacteristic, complemented
1489C24—22no—
1490C24—22no—
1491C24—22no—
1492C24—41no—
1493C24—41no—
1494C24—41no—
1495C24—41no—
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—2921no—
1520C24—2921no—
1521C24—2921no—
1522C24—2921no—
1523C24—2921no—
1524C24—2921no—
1525C24—2921no—
1526C24—29216no—
1527C24—29216no—
1528C24—29216no—
1529C24—29216no—
1530C24—29216no—
1531C24—29216no—
1532C24—29216no—
1533C24—734no—
1534C24—734no—
1535C24—731no—
1536C24—731no—
1537C24—731no—
1538C24—731no—
1539C24—731no—
1540C24—731no—
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—
1557C24—1462no—
1558C24—1462no—
1559C24—1462no—
1560C24—1462no—
1561C24—1462no—
1562C24—1462no—
1563C24—1462no—
1564C24—1462no—
1565C24C23×D7311yescharacteristic
1566C24C23×D7311yescharacteristic
1567C24C23×D7311yescharacteristic
1568C24C23×D7311yescharacteristic
1569C24C23×D7311yescharacteristic
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—22no—
1573C2×D4—22no—
1574C2×D4—22no—
1575C2×D4—22no—
1576C2×D4—22no—
1577C2×D4—22no—
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—41no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—41no—
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—2921no—
1599C2×D4—2921no—
1600C2×D4—29216no—
1601C2×D4—29216no—
1602C2×D4—29216no—
1603C2×D4—29216no—
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—734no—
1627C2×D4—734no—
1628C2×D4—734no—
1629C2×D4—1462no—
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×D4D4×D7314yes—
1658C22×C4—22no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—2921no—
1662C22×C4—2921no—
1663C22×C4—2921no—
1664C22×C4—2921no—
1665C22×C4—2921no—
1666C22×C4—2921no—
1667C22×C4—2921no—
1668C22×C4—2921no—
1669C22×C4—731no—
1670C22×C4—734no—
1671C22×C4—731no—
1672C22×C4—731no—
1673C22×C4—731no—
1674C22×C4—731no—
1675C22×C4—731no—
1676C22×C4—731no—
1677C22×C4—731no—
1678C22×C4—731no—
1679C22×C4—731no—
1680C22×C4—1462no—
1681C22×C4—1462no—
1682C22×C4—1462no—
1683C22×C4—1462no—
1684C22×C4—1462no—
1685C22×C4—1462no—
1686C22×C4C23×D7311yescharacteristic
1687C22×C4C23×D7311yescharacteristic
1688C22×C4C23×D7311yescharacteristic
1689C22×C4C23×D7311yescharacteristic
1690C22×C4C23×D7311yescharacteristic
1691C22×C4C23×D7311yescharacteristic
1692C22×C4C23×D7311yescharacteristic
1693C22×C4C23×D7311yescharacteristic
1694C22×C4C23×D7311yescharacteristic
1695C22×C4C23×D7311yescharacteristic
1696C4⋊C4—22no—
1697C4⋊C4—41no—
1698C4⋊C4—41no—
1699C4⋊C4—41no—
1700C4⋊C4—2921no—
1701C4⋊C4—2921no—
1702C4⋊C4—2921no—
1703C4⋊C4—2921no—
1704C4⋊C4—2921no—
1705C4⋊C4—2921no—
1706C4⋊C4—2921no—
1707C4⋊C4—2921no—
1708C4⋊C4—2921no—
1709C4⋊C4—1462no—
1710C4⋊C4—1462no—
1711C4⋊C4—1462no—
1712C22⋊C4—22no—
1713C22⋊C4—22no—
1714C22⋊C4—22no—
1715C22⋊C4—22no—
1716C22⋊C4—22no—
1717C22⋊C4—22no—
1718C22⋊C4—22no—
1719C22⋊C4—41no—
1720C22⋊C4—41no—
1721C22⋊C4—41no—
1722C22⋊C4—41no—
1723C22⋊C4—41no—
1724C22⋊C4—41no—
1725C22⋊C4—41no—
1726C22⋊C4—41no—
1727C22⋊C4—41no—
1728C22⋊C4—41no—
1729C22⋊C4—2921no—
1730C22⋊C4—2921no—
1731C22⋊C4—2921no—
1732C22⋊C4—2921no—
1733C22⋊C4—2921no—
1734C22⋊C4—2921no—
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—1462no—
1760C22⋊C4—1462no—
1761C22⋊C4—1462no—
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—
1788C42—41no—
1789C42—2921no—
1790C42—2921no—
1791C42—2921no—
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—21no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—44no—
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—2924no—
1847C23—292128no—
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—2924no—
1872C23—2924no—
1873C23—5842no—
1874C23—5842no—
1875C23—5842no—
1876C23—5842no—
1877C23—5842no—
1878C23—5842no—
1879C23—5842no—
1880C23—5842no—
1881C23—5842no—
1882C23—5842no—
1883C23—732no—
1884C23—732no—
1885C23—732no—
1886C23—732no—
1887C23—732no—
1888C23—732no—
1889C23—732no—
1890C23—1468no—
1891C23—1468no—
1892C23—1468no—
1893C23—1468no—
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—
1921C23—1461no—
1922C23—1461no—
1923C23—1461no—
1924C23—1461no—
1925C23—1461no—
1926C23—1461no—
1927C23—1461no—
1928C23—1461no—
1929C23C2×D4×D7312yes—
1930C23C2×D4×D7312yes—
1931C23#1455663612yes—
1932C23#1455663712yes—
1933C23C24×D7311yescharacteristic
1934D4—44no—
1935D4—44no—
1936D4—44no—
1937D4—44no—
1938D4—82no—
1939D4—82no—
1940D4—82no—
1941D4—2924no—
1942D4—2924no—
1943D4—2924no—
1944D4—2924no—
1945D4—2924no—
1946D4—2924no—
1947D4—2924no—
1948D4—2924no—
1949D4—2924no—
1950D4—2924no—
1951D4—2924no—
1952D4—2924no—
1953D4—5842no—
1954D4—5842no—
1955D4—5842no—
1956D4—5842no—
1957D4—5842no—
1958D4—5842no—
1959D4—5842no—
1960D4—5842no—
1961D4—5842no—
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—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—82no—
1992C2×C4—2924no—
1993C2×C4—2924no—
1994C2×C4—2924no—
1995C2×C4—5842no—
1996C2×C4—732no—
1997C2×C4—1468no—
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×C4—1461no—
2027C2×C4C2×D4×D7312yes—
2028C22—22no—
2029C22—22no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—22no—
2036C22—22no—
2037C22—22no—
2038C22—22no—
2039C22—22no—
2040C22—416no—
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—41no—
2064C22—29216no—
2065C22—29216no—
2066C22—29216no—
2067C22—29216no—
2068C22—29216no—
2069C22—29216no—
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—2921no—
2093C22—5848no—
2094C22—5848no—
2095C22—734no—
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—
2112C22—1462no—
2113C22—1462no—
2114C22C22×D4×D7311yescharacteristic
2115C22H(5,𝔽2)×D7311yescharacteristic
2116C22H(5,𝔽2)×D7311yescharacteristic
2117C22H(5,𝔽2)×D7311yescharacteristic
2118C22H(5,𝔽2)×D7311yescharacteristic
2119C22C2×#1455663611yescharacteristic
2120C22C2×#1455663711yescharacteristic
2121C4—22no—
2122C4—41no—
2123C4—41no—
2124C4—41no—
2125C4—41no—
2126C4—41no—
2127C4—41no—
2128C4—41no—
2129C4—41no—
2130C4—41no—
2131C4—2921no—
2132C4—2921no—
2133C4—2921no—
2134C4—2921no—
2135C4—2921no—
2136C4—2921no—
2137C4—2921no—
2138C4—2921no—
2139C4—2921no—
2140C4—1462no—
2141C2—42no—
2142C2—42no—
2143C2—42no—
2144C2—42no—
2145C2—81no—
2146C2—2922no—
2147C2—2922no—
2148C2—2922no—
2149C2—2922no—
2150C2—5841no—
2151C2—1464no—
2152C2#534×D7311yescharacteristic
2153C2#2262355911yescharacteristic
2154C2#2262356111yescharacteristic
2155C2#2262408011yescharacteristic
2156C2#2262408211yescharacteristic
2157C2#2262408411yescharacteristic
2158C2#2262408511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2678C2
hypercenter#2678D73
hypocenterC73#36714
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#17989145C2semidirect
2. C2×#120×D73C2semidirect
3. #22618209C2semidirect
4. #22618207C2semidirect
5. #22616496C2semidirect
6. #22616494C2semidirect
7. #22616491C2semidirect
8. #22616489C2semidirect
9. #22616266C2semidirect
10. #22616265C2semidirect
11. #22616264C2semidirect
12. #22616264C2semidirect
13. #22616259C2semidirect
14. #22616258C2semidirect
15. #22616257C2semidirect
16. #22616256C2semidirect
17. #22616251C2semidirect
18. #22616250C2semidirect
19. #22616249C2semidirect
20. #22615705C2semidirect
21. #22615703C2semidirect
22. #22613315C2semidirect
23. #22613313C2semidirect
24. #22613311C2semidirect
25. #22613309C2semidirect
26. #22613257C2semidirect
27. #22613255C2semidirect
28. #22613240C2semidirect
29. #22613240C2semidirect
30. #22612510C2semidirect
31. C73×#2678C2semidirect
32. C25×D73C22semidirect
36. C22×D4×D73C22semidirect
38. C2×#14556576C22semidirect
39. C2×#14556576C22semidirect
40. C2×#14556575C22semidirect
41. C2×#14556574C22semidirect
42. C2×#14556573C22semidirect
43. C2×#14556573C22semidirect
44. C2×#14556572C22semidirect
45. C2×#14556565C22semidirect
46. C2×#14556563C22semidirect
47. C2×#14556563C22semidirect
54. C2×#14556561C22semidirect
55. C2×#14556561C22semidirect
56. C2×#14556561C22semidirect
57. C2×#14556561C22semidirect
58. C2×#14556561C22semidirect
59. C2×#14556561C22semidirect
61. C2×#14556560C22semidirect
65. C2×#14556559C22semidirect
66. C2×#14556559C22semidirect
67. C2×#14556559C22semidirect
68. C2×#14556559C22semidirect
69. C2×#14556559C22semidirect
70. C2×#14556559C22semidirect
71. C2×#14556559C22semidirect
72. C2×#14556559C22semidirect
73. C2×#14556559C22semidirect
75. C2×#14556549C22semidirect
76. C2×#14556548C22semidirect
77. C22×#11924005C22semidirect
78. C2×C22⋊C4×D73C22semidirect
79. C2×C22⋊C4×D73C22semidirect
80. C2×C22⋊C4×D73C22semidirect
81. #17988516C22semidirect
82. #17988516C22semidirect
83. #17988515C22semidirect
84. #17988515C22semidirect
85. #17988514C22semidirect
86. #17988513C22semidirect
87. #17988512C22semidirect
88. #17988511C22semidirect
89. #17988510C22semidirect
90. #17988510C22semidirect
91. #17988510C22semidirect
92. #17988509C22semidirect
93. #17988509C22semidirect
94. #17988509C22semidirect
95. #17988505C22semidirect
96. #17988505C22semidirect
97. #17988505C22semidirect
98. #17988505C22semidirect
99. #17988504C22semidirect
100. #17988504C22semidirect
101. #17988504C22semidirect
102. #17988504C22semidirect
103. #17988503C22semidirect
104. #17988503C22semidirect
105. #17988503C22semidirect
106. #17988503C22semidirect
107. #17988503C22semidirect
108. #17988503C22semidirect
109. #17988502C22semidirect
110. #17988502C22semidirect
111. #17988502C22semidirect
112. #17988502C22semidirect
113. #17988502C22semidirect
114. #17988502C22semidirect
115. #17988501C22semidirect
116. #17988501C22semidirect
117. #17988496C22semidirect
118. #17988496C22semidirect
119. #17988495C22semidirect
120. #17988495C22semidirect
121. #17988495C22semidirect
122. #17988495C22semidirect
123. #17988490C22semidirect
124. #17988490C22semidirect
125. #17988489C22semidirect
126. #17988489C22semidirect
127. #17988488C22semidirect
128. #17988488C22semidirect
129. #17988487C22semidirect
130. #17988487C22semidirect
131. #17988487C22semidirect
132. #17988487C22semidirect
133. #17988487C22semidirect
134. #17988487C22semidirect
135. #17988487C22semidirect
136. #17988487C22semidirect
137. #17988481C22semidirect
138. #17988480C22semidirect
139. #17988479C22semidirect
140. #17988478C22semidirect
141. #17988477C22semidirect
142. #17988476C22semidirect
143. #17988475C22semidirect
144. #17988467C22semidirect
145. #17988466C22semidirect
146. #17988465C22semidirect
147. #17988465C22semidirect
148. #17988465C22semidirect
149. #17988465C22semidirect
150. #17988464C22semidirect
151. #17988463C22semidirect
152. #17988463C22semidirect
153. #17988463C22semidirect
154. #17988463C22semidirect
155. #17988461C22semidirect
156. #17988461C22semidirect
157. #17988458C22semidirect
158. #17988458C22semidirect
159. #17988443C22semidirect
160. #17988442C22semidirect
161. #17988442C22semidirect
162. #17988442C22semidirect
163. #17988442C22semidirect
164. #17988442C22semidirect
165. #17988442C22semidirect
166. #17988442C22semidirect
167. #17988442C22semidirect
168. #17988442C22semidirect
169. #17988442C22semidirect
170. #17988442C22semidirect
171. #17988442C22semidirect
172. #17988442C22semidirect
173. #17988442C22semidirect
174. C2×#123×C73C22semidirect
175. C2×#121×C73C22semidirect
176. C2×#120×C73C22semidirect
177. C2×#120×C73C22semidirect
178. #397×C73C22semidirect
179. #396×C73C22semidirect
180. #394×C73C22semidirect
181. #394×C73C22semidirect
182. #392×C73C22semidirect
183. #392×C73C22semidirect
184. #390×C73C22semidirect
185. #390×C73C22semidirect
186. #388×C73C22semidirect
187. #386×C73C22semidirect
188. #379×C73C22semidirect
203. C24×D73C23semidirect
224. C22×C22⋊D73C23semidirect
236. C2×D4×D73D4semidirect
237. C23×Dic73C23semidirect
241. C22×C4×D73C23semidirect
280. C2×C4⋊Dic73C23semidirect
281. C2×C4⋊Dic73C23semidirect
282. C2×C4⋊Dic73C23semidirect
283. C2×C4⋊Dic73C23semidirect
284. C2×#11924007C23semidirect
285. C2×#11924007C23semidirect
286. C2×#11924007C23semidirect
287. C2×#11924007C23semidirect
288. C2×#11924007C23semidirect
289. C2×#11924007C23semidirect
290. C2×#11924007C23semidirect
291. C2×#11924007C23semidirect
304. C2×C22⋊Dic73C23semidirect
305. C2×C22⋊Dic73C23semidirect
306. C2×C22⋊Dic73C23semidirect
307. C2×C22⋊Dic73C23semidirect
308. C2×C22⋊Dic73C23semidirect
340. C2×#11924005C23semidirect
341. C2×#11924005C23semidirect
342. C2×#11924005C23semidirect
343. C2×#11924005C23semidirect
344. C2×#11924005C23semidirect
345. C2×#11924005C23semidirect
346. C2×#11924005C23semidirect
347. C2×#11924005C23semidirect
348. C2×#11924005C23semidirect
349. C2×#11924005C23semidirect
350. C2×#11924005C23semidirect
351. C2×#11924005C23semidirect
355. C2×C4×Dic73C23semidirect
356. C2×C4×Dic73C23semidirect
357. C2×C4×Dic73C23semidirect
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
383. C2×C4⋊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. C2×C22⋊C4×C73C23semidirect
404. C2×C42×C73C23semidirect
405. #95×C73C23semidirect
406. #95×C73C23semidirect
407. #95×C73C23semidirect
408. #95×C73C23semidirect
1099. #2678D73semidirect
1111. C73#36714semidirect
1125. C2×#123C2×D73semidirect
1129. C2×#121C2×D73semidirect
1157. C2×#120C2×D73semidirect
1158. C2×#120C2×D73semidirect
1172. #397C2×D73semidirect
1180. #396C2×D73semidirect
1203. #394C2×D73semidirect
1204. #394C2×D73semidirect
1211. #392C2×D73semidirect
1212. #392C2×D73semidirect
1227. #390C2×D73semidirect
1228. #390C2×D73semidirect
1236. #388C2×D73semidirect
1248. #386C2×D73semidirect
1268. #379C2×D73semidirect
1324. C22×D4C22×D73semidirect
1330. C23×C4C22×D73semidirect
1385. C2×C4⋊C4C22×D73semidirect
1386. C2×C4⋊C4C22×D73semidirect
1387. C2×C4⋊C4C22×D73semidirect
1388. C2×C4⋊C4C22×D73semidirect
1464. C2×C22⋊C4C22×D73semidirect
1465. C2×C22⋊C4C22×D73semidirect
1466. C2×C22⋊C4C22×D73semidirect
1467. C2×C22⋊C4C22×D73semidirect
1468. C2×C22⋊C4C22×D73semidirect
1472. C2×C42C22×D73semidirect
1485. #95C22×D73semidirect
1486. #95C22×D73semidirect
1487. #95C22×D73semidirect
1488. #95C22×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891452
C2×#120×D732
#226182092
#226182072
#226164962
#226164942
#226164912
#226164892
#226162662
#226162652
#226162642
#226162592
#226162582
#226162572
#226162562
#226162512
#226162502
#226162492
#226157052
#226157032
#226133152
#226133132
#226133112
#226133092
#226132572
#226132552
#226132402
#226125102
C73×#26782
#3671473