Finite Group Databasebeta

← #33972633

Subgroups — #33972633

Order 18688.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624301C211yesmaximal, characteristic, complemented
2#22623694C211yesmaximal, characteristic, complemented
3#22622231C211yesmaximal, characteristic, complemented
4#22622160C211yesmaximal, characteristic, complemented
5#22622130C211yesmaximal, characteristic, complemented
6#22622127C211yesmaximal, characteristic, complemented
7#22621846C211yesmaximal, characteristic, complemented
8#22621787C211yesmaximal, characteristic, complemented
9#22621784C211yesmaximal, characteristic, complemented
10#22621739C211yesmaximal, characteristic, complemented
11#22621658C211yesmaximal, characteristic, complemented
12#22621619C211yesmaximal, characteristic, complemented
13#22621609C211yesmaximal, characteristic, complemented
14#22621601C211yesmaximal, characteristic, complemented
15#22621548C211yesmaximal, characteristic, complemented
16#22621542C211yesmaximal, characteristic, complemented
17#22621539C211yesmaximal, characteristic, complemented
18#22621529C211yesmaximal, characteristic, complemented
19#22620904C211yesmaximal, characteristic, complemented
20#22620862C211yesmaximal, characteristic, complemented
21#22620831C211yesmaximal, characteristic, complemented
22#22620828C211yesmaximal, characteristic, complemented
23#22620788C211yesmaximal, characteristic, complemented
24#22619975C211yesmaximal, characteristic, complemented
25#22619928C211yesmaximal, characteristic, complemented
26#22619238C211yesmaximal, characteristic, complemented
27#22619233C211yesmaximal, characteristic, complemented
28#22619197C211yesmaximal, characteristic, complemented
29#22619196C211yesmaximal, characteristic, complemented
30#22618995C211yesmaximal, characteristic, complemented
31C73×#3198C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C2×#14556637C2211yescharacteristic, complemented
34C2×#14556619C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556617C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C2×#14556612C2211yescharacteristic, complemented
40C22×#11924013C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989326—21no—
43#17989324—21no—
44#17989305C2211yescharacteristic, complemented
45#17989289C2211yescharacteristic, complemented
46#17989281C2211yescharacteristic, complemented
47#17989257—21no—
48#17989255C2211yescharacteristic, complemented
49#17989239—21no—
50#17989239C2211yescharacteristic
51#17989239C2211yescharacteristic, complemented
52#17989237C2211yescharacteristic, complemented
53#17989234—21no—
54#17989234C2211yescharacteristic, complemented
55#17989234C2211yescharacteristic, complemented
56#17989234C2211yescharacteristic, complemented
57#17989231C2211yescharacteristic, complemented
58#17989228—21no—
59#17989228C2211yescharacteristic, complemented
60#17989228C2211yescharacteristic, complemented
61#17989224—21no—
62#17989221—21no—
63#17989221C2211yescharacteristic
64#17989221C2211yescharacteristic, complemented
65D4×C22⋊D73C2211yescharacteristic, complemented
66#17989201—21no—
67#17989172—21no—
68#17989171—21no—
69#17989168C2211yescharacteristic, complemented
70#17989166C2211yescharacteristic, complemented
71#17989165C2211yescharacteristic, complemented
72#17989153C2211yescharacteristic, complemented
73#17989152—21no—
74#17989145—21no—
75#17989145—21no—
76#17989133C2211yescharacteristic
77#17989133C2211yescharacteristic, complemented
78#17989132C2211yescharacteristic, complemented
79#17989118C2211yescharacteristic, complemented
80#121×D73—21no—
81#121×D73—21no—
82C2×#14556553C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic, complemented
84#17988968C2211yescharacteristic, complemented
85#17988962C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988936C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988922C2211yescharacteristic, complemented
94#17988920C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988866C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988835C2211yescharacteristic, complemented
105#17988834C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988832C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988829C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988805C2211yescharacteristic, complemented
116#17988804C2211yescharacteristic, complemented
117#17988801C2211yescharacteristic, complemented
118#17988801C2211yescharacteristic, complemented
119#17988801C2211yescharacteristic, complemented
120#17988800C2211yescharacteristic, complemented
121#17988796C2211yescharacteristic, complemented
122#17988790C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988781C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988752C2211yescharacteristic, complemented
128#17988751C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988749C2211yescharacteristic, complemented
132#17988747C2211yescharacteristic, complemented
133#17988740C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988739C2211yescharacteristic, complemented
137#17988735C2211yescharacteristic, complemented
138#17988734C2211yescharacteristic, complemented
139#17988734C2211yescharacteristic, complemented
140#17988733C2211yescharacteristic, complemented
141#17988732C2211yescharacteristic, complemented
142#17988731C2211yescharacteristic, complemented
143#17988731C2211yescharacteristic, complemented
144#17988730C2211yescharacteristic, complemented
145#17988730C2211yescharacteristic, complemented
146#17988730C2211yescharacteristic, complemented
147#17988730C2211yescharacteristic, complemented
148#17988730C2211yescharacteristic, complemented
149#17988723C2211yescharacteristic, complemented
150#17988723C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988720C2211yescharacteristic
154#17988720C2211yescharacteristic, complemented
155#17988720C2211yescharacteristic, complemented
156#17988720C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988674C2211yescharacteristic, complemented
160#17988674C2211yescharacteristic, complemented
161#17988669C2211yescharacteristic, complemented
162#17988669C2211yescharacteristic, complemented
163#17988667C2211yescharacteristic, complemented
164#17988667C2211yescharacteristic, complemented
165#17988667C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic, complemented
169#17988662C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988637C2211yescharacteristic, complemented
176#17988637C2211yescharacteristic, complemented
177#17988591C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988589C2211yescharacteristic, complemented
180#17988587C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988581C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188#537×C73C2211yescharacteristic, complemented
189#535×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#480×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#466×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205#14556637—42no—
206#14556637—42no—
207C2×#11924029—21no—
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924028—21no—
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924027—21no—
217C2×#11924027—21no—
218C2×#11924027C2311yescharacteristic
219C22×D292—21no—
220C22×D292C2311yescharacteristic
221C22×D292C2311yescharacteristic
222C22×D292C2311yescharacteristic
223C22×C22⋊D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73—21no—
230C2×D4×D73—21no—
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C22×C4×D73—21no—
235#14556619—42no—
236#14556618—42no—
237#14556617—42no—
238#14556615—42no—
239#14556613—42no—
240#14556612—42no—
241C2×Dic292C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×D584C2311yescharacteristic
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic
254C2×#11924013—42no—
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262D8×D73—42no—
263C2×#11924012C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C2×#11924011C2311yescharacteristic
266C22×#10596831C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269#14556590C2311yescharacteristic
270#14556589D411yescharacteristic
271#14556589C2311yescharacteristic
272#14556587—21no—
273#14556587—21no—
274#14556587D411yescharacteristic
275#14556587C2311yescharacteristic
276#14556587C2311yescharacteristic
277#14556585—21no—
278#14556585—21no—
279#14556584—21no—
280#14556584—21no—
281#14556584—21no—
282#14556582C2311yescharacteristic
283#14556580D411yescharacteristic
284#14556580C2311yescharacteristic
285#14556578D411yescharacteristic
286#14556578C2311yescharacteristic
287#14556578C2311yescharacteristic
288#14556577—21no—
289#14556577—21no—
290#14556577—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556575—21no—
296#14556573—21no—
297#14556573—21no—
298#14556573—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573—21no—
302#14556573—21no—
303#14556572—21no—
304#14556572—21no—
305#14556572—21no—
306#14556571—21no—
307#14556571C2311yescharacteristic
308#14556571C2311yescharacteristic
309#14556571C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556570C2311yescharacteristic
312#14556568—21no—
313#14556568—21no—
314#14556567—21no—
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566C2311yescharacteristic
319#14556566C2311yescharacteristic
320#14556566C2311yescharacteristic
321#14556565—21no—
322#14556565—21no—
323#14556565C2311yescharacteristic
324#14556565C2311yescharacteristic
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563D411yescharacteristic
343#14556563D411yescharacteristic
344#14556563D411yescharacteristic
345#14556563D411yescharacteristic
346#14556562—21no—
347#14556562—21no—
348#14556562—21no—
349#14556562—21no—
350#14556562—21no—
351#14556562C2311yescharacteristic
352#14556562C2311yescharacteristic
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556560—21no—
359#14556560—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365#14556559—21no—
366#14556559—21no—
367C4×Dic146—21no—
368#14556556C2311yescharacteristic
369C4×D292—21no—
370D4×Dic73—21no—
371D4×Dic73—21no—
372D4×Dic73C2311yescharacteristic
373D4×Dic73C2311yescharacteristic
374#14556553—21no—
375#14556553—21no—
376#14556553C2311yescharacteristic
377#14556553C2311yescharacteristic
378#14556553C2311yescharacteristic
379#14556553C2311yescharacteristic
380#14556553C2311yescharacteristic
381C4×C22⋊D73—21no—
382C4×C22⋊D73—21no—
383C4×C22⋊D73C2311yescharacteristic
384C4×C22⋊D73C2311yescharacteristic
385C4×C22⋊D73C2311yescharacteristic
386C4×C22⋊D73C2311yescharacteristic
387#14556551—21no—
388#14556551—21no—
389#14556549C2311yescharacteristic
390#14556547—21no—
391C2×C4⋊Dic73C2311yescharacteristic
392C4⋊C4×D73—21no—
393C4⋊C4×D73—21no—
394C4⋊C4×D73C2311yescharacteristic
395C2×C22⋊Dic73—21no—
396C2×#11924005—21no—
397C22⋊C4×D73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C2×C4×Dic73C2311yescharacteristic
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#127×C73—21no—
457#124×C73—21no—
458C22⋊Q8×C73—21no—
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468#121×C73C2311yescharacteristic
469#121×C73C2311yescharacteristic
470#120×C73—21no—
471#120×C73—21no—
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496#11924029—22no—
497#11924029—22no—
498#11924029—41no—
499#11924029—41no—
500#11924029—44no—
501#11924028—22no—
502#11924028—22no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924028—41no—
509#11924028—41no—
510#11924028—41no—
511#11924028—44no—
512#11924027—41no—
513#11924027—41no—
514#11924027—82no—
515#11924027—82no—
516C2×Dic146—21no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×D292—21no—
521C2×D292—22no—
522C2×D292—22no—
523C2×D292—22no—
524C2×D292—22no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—41no—
533C2×D292—41no—
534C2×D292—44no—
535C2×D292C2×D411yescharacteristic
536C2×D292C2411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—82no—
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563D4×D73—22no—
564D4×D73—22no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—41no—
569D4×D73—44no—
570D4×D73—44no—
571D4×D73—44no—
572D4×D73—44no—
573D4×D73—44no—
574D4×D73—82no—
575D4×D73—82no—
576C22×Dic73—21no—
577C22×Dic73—21no—
578C22×Dic73—21no—
579C22×Dic73—21no—
580C22×Dic73C2×D411yescharacteristic
581C22×Dic73C2×D411yescharacteristic
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—82no—
595C2×C4×D73C2411yescharacteristic
596C2×C4×D73C2411yescharacteristic
597Dic292—41no—
598#11924018—41no—
599#11924017—22no—
600#11924017—22no—
601#11924017—41no—
602#11924017—41no—
603#11924016—41no—
604#11924016—41no—
605#11924016—41no—
606#11924015—41no—
607D584—22no—
608D584—22no—
609D584—41no—
610#11924013—22no—
611#11924013—22no—
612#11924013—22no—
613#11924013—22no—
614#11924013—41no—
615#11924013—41no—
616#11924013—41no—
617#11924012—41no—
618#11924011—41no—
619#11924011—41no—
620C2×#10596831—41no—
621C2×#10596831C2411yescharacteristic
622C2×#10596831C2411yescharacteristic
623C2×#10596831C2411yescharacteristic
624C2×#10596831C2411yescharacteristic
625C8×D73—41no—
626C8×D73—41no—
627C4⋊Dic73—21no—
628C4⋊Dic73—21no—
629C4⋊Dic73—21no—
630C4⋊Dic73—21no—
631C4⋊Dic73—21no—
632C4⋊Dic73C2411yescharacteristic
633C4⋊Dic73C2411yescharacteristic
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007—21no—
642#11924007C2×D411yescharacteristic
643#11924007C2×D411yescharacteristic
644#11924007C2×D411yescharacteristic
645#11924007C2×D411yescharacteristic
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73C2×D411yescharacteristic
657C22⋊Dic73C2×D411yescharacteristic
658C22⋊Dic73C2×D411yescharacteristic
659C22⋊Dic73C2×D411yescharacteristic
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73C2×D411yescharacteristic
683C4×Dic73C2×D411yescharacteristic
684C4×Dic73C2411yescharacteristic
685C4×Dic73C2411yescharacteristic
686C24×C73—21no—
687#41×C73—41no—
688#41×C73—41no—
689#41×C73—41no—
690#41×C73—41no—
691C2×Q8×C73C2×D411yescharacteristic
692C2×Q8×C73C2411yescharacteristic
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73—41no—
702C2×D4×C73—41no—
703C2×D4×C73C2×D411yescharacteristic
704C2×D4×C73C2×D411yescharacteristic
705C2×D4×C73C2×D411yescharacteristic
706C2×D4×C73C2411yescharacteristic
707C2×D4×C73C2411yescharacteristic
708C2×D4×C73C2411yescharacteristic
709C22×C4×C73—21no—
710C22×C4×C73—21no—
711C22×C4×C73C2411yescharacteristic
712C22×C4×C73C2411yescharacteristic
713C22×C4×C73C2411yescharacteristic
714SD16×C73—41no—
715SD16×C73—41no—
716D8×C73—41no—
717D8×C73—41no—
718M16×C73—41no—
719C2×C8×C73—41no—
720C2×C8×C73C2411yescharacteristic
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C4⋊C4×C73—21no—
725C4⋊C4×C73—21no—
726C4⋊C4×C73—21no—
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C4⋊C4×C73C2411yescharacteristic
730C4⋊C4×C73C2411yescharacteristic
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C42×C73—21no—
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—81no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C23×C73C22×D411yescharacteristic
750C22×D73—21no—
751C22×D73—21no—
752C22×D73—24no—
753C22×D73—21no—
754C22×D73—21no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—42no—
758C22×D73—42no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73—81no—
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73—21no—
776Q8×C73—41no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—41no—
784D4×C73—41no—
785D4×C73—41no—
786D4×C73—42no—
787D4×C73—81no—
788D4×C73—81no—
789D4×C73—81no—
790D4×C73—81no—
791D4×C73—81no—
792D4×C73—81no—
793D4×C73—81no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—42no—
806C2×C4×C73—81no—
807C2×C4×C73C22×D411yescharacteristic
808C2×C4×C73C22×D411yescharacteristic
809C2×C4×C73C22×D411yescharacteristic
810C2×C4×C73C2511yescharacteristic
811C22⋊D73—22no—
812C22⋊D73—22no—
813C22⋊D73—41no—
814C22⋊D73—41no—
815C22⋊D73—41no—
816C22⋊D73—41no—
817C22⋊D73—42no—
818C22⋊D73—42no—
819C22⋊D73—42no—
820C22⋊D73—42no—
821C22⋊D73—42no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—81no—
825C22⋊D73—81no—
826C22⋊D73—81no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C22⋊D73—81no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C2×Dic73—22no—
834C2×Dic73—21no—
835C2×Dic73—21no—
836C2×Dic73—21no—
837C2×Dic73—21no—
838C2×Dic73—41no—
839C2×Dic73—42no—
840C2×Dic73—81no—
841C2×Dic73—81no—
842C2×Dic73—81no—
843C2×Dic73C22×D411yescharacteristic
844C2×Dic73C22×D411yescharacteristic
845C2×Dic73C22×D411yescharacteristic
846C2×Dic73C22×D411yescharacteristic
847C2×Dic73C22×D411yescharacteristic
848C2×Dic73C22×D411yescharacteristic
849D292—24no—
850D292—21no—
851D292—21no—
852D292—21no—
853D292—21no—
854D292—21no—
855D292—21no—
856D292—41no—
857D292—42no—
858D292—42no—
859D292—42no—
860D292—42no—
861D292—81no—
862D292—81no—
863D292—81no—
864D292H(5,𝔽2)12yes—
865D292H(5,𝔽2)12yes—
866C4×D73—21no—
867C4×D73—21no—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—42no—
871C4×D73—42no—
872C4×D73—42no—
873C4×D73—42no—
874C4×D73—42no—
875C4×D73—42no—
876C4×D73—42no—
877C4×D73—81no—
878C4×D73—81no—
879C4×D73—81no—
880C4×D73—81no—
881C4×D73—81no—
882Dic146—21no—
883Dic146—21no—
884Dic146—21no—
885Dic146—21no—
886Dic146—41no—
887Dic146—42no—
888C8×C73—21no—
889C8×C73—21no—
890C8×C73—21no—
891C8×C73—21no—
892#10596831—21no—
893#10596831—21no—
894#10596831—21no—
895#10596831—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—21no—
901C22×C73—21no—
902C22×C73—21no—
903C22×C73—21no—
904C22×C73—21no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—162no—
915C22×C73C23×D411yescharacteristic
916C2×D73—21no—
917C2×D73—21no—
918C2×D73—21no—
919C2×D73—21no—
920C2×D73—22no—
921C2×D73—22no—
922C2×D73—21no—
923C2×D73—21no—
924C2×D73—41no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—41no—
933C2×D73—41no—
934C2×D73—84no—
935C2×D73—162no—
936C2×D73—162no—
937C2×D73—162no—
938C2×D73—162no—
939C2×D73—162no—
940C4×C73—21no—
941C4×C73—21no—
942C4×C73—21no—
943C4×C73—41no—
944C4×C73—41no—
945C4×C73—41no—
946C4×C73—41no—
947C4×C73—41no—
948C4×C73C2×H(5,𝔽2)11yescharacteristic
949C4×C73C2×H(5,𝔽2)11yescharacteristic
950Dic73—21no—
951Dic73—21no—
952Dic73—21no—
953Dic73—21no—
954Dic73—21no—
955Dic73—41no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959Dic73#57612yes—
960#61657—731nomaximal, Sylow
961C2×C73—41no—
962C2×C73—41no—
963C2×C73—41no—
964C2×C73—81no—
965C2×C73—81no—
966C2×C73—81no—
967C2×C73#348411yescharacteristic
968C2×C73C2×#57611yescharacteristic
969C2×C73#358411yescharacteristic
970D73—41no—
971D73—41no—
972D73—42no—
973D73—42no—
974D73—81no—
975D73—81no—
976#3546—731no—
977#3496—731no—
978#3330—731no—
979#3324—731no—
980#3322—731no—
981#3322—731no—
982#3302—731no—
983#3297—731no—
984#3297—731no—
985#3294—731no—
986#3284—731no—
987#3280—731no—
988#3280—731no—
989D4×D8—731no—
990#3274—731no—
991#3273—731no—
992#3273—731no—
993#3272—731no—
994#3212—731no—
995#3207—731no—
996#3203—731no—
997#3203—731no—
998#3198—731no—
999#3198D7311yescharacteristic, complemented
1000#3105—731no—
1001#3100—731no—
1002#3012—731no—
1003#3012—731no—
1004#3008—731no—
1005#3008—731no—
1006#2979—731no—
1007C73#6165711yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—731no—
1009C2×H(5,𝔽2)—731no—
1010C2×AGL(1,ℤ/8)—731no—
1011C2×AGL(1,ℤ/8)—731no—
1012C2×AGL(1,ℤ/8)—731no—
1013C2×AGL(1,ℤ/8)—731no—
1014C2×#135—731no—
1015C2×#135—731no—
1016C22×D8—731no—
1017C22×D8—731no—
1018#560—1461no—
1019#560—1461no—
1020#556—731no—
1021#553—731no—
1022#553—731no—
1023#550—731no—
1024#550—1461no—
1025#547—731no—
1026#547—731no—
1027#547—731no—
1028#547—1461no—
1029#546—731no—
1030#546—731no—
1031#546—731no—
1032#546—731no—
1033#546—731no—
1034#546—731no—
1035#546—1461no—
1036#546—1461no—
1037#546—1461no—
1038D42—731no—
1039D42—731no—
1040D42—731no—
1041D42—1461no—
1042#542—1461no—
1043#538—1461no—
1044#538—1461no—
1045#537—731no—
1046#537—731no—
1047#537—731no—
1048#537C2×D7311yescharacteristic, complemented
1049#535—731no—
1050#535—1461no—
1051#535C2×D7311yescharacteristic, complemented
1052#534—1461no—
1053#534—1461no—
1054#532—731no—
1055#532—731no—
1056#532—731no—
1057#529—731no—
1058C2×#121—1461no—
1059C2×#121—1461no—
1060C2×C4×D4—731no—
1061#495—731no—
1062#495—731no—
1063#493—731no—
1064#492—731no—
1065#488—731no—
1066#488—731no—
1067#487—731no—
1068#486—731no—
1069#485—731no—
1070#485C2×D7311yescharacteristic, complemented
1071#484—731no—
1072#484—731no—
1073#484—731no—
1074#482—731no—
1075#482C2×D7311yescharacteristic, complemented
1076#481C2×D7311yescharacteristic, complemented
1077#480—731no—
1078#480—731no—
1079#480—731no—
1080#480C2×D7311yescharacteristic, complemented
1081#478—731no—
1082#478—731no—
1083#474—731no—
1084#474—731no—
1085#469—731no—
1086#469C2×D7311yescharacteristic, complemented
1087#468—731no—
1088#468—731no—
1089#468—731no—
1090#468—731no—
1091#468—731no—
1092#468C2×D7311yescharacteristic, complemented
1093#467—731no—
1094#467—731no—
1095#466—731no—
1096#466—731no—
1097#466—731no—
1098#466C2×D7311yescharacteristic, complemented
1099#465—731no—
1100#465C2×D7311yescharacteristic, complemented
1101#463—731no—
1102#463—731no—
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463—731no—
1107#462—731no—
1108#461—731no—
1109#460—731no—
1110#459—731no—
1111#459—731no—
1112#459—731no—
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452—731no—
1117#452—731no—
1118#452—731no—
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#450—731no—
1123#450C2×D7311yescharacteristic, complemented
1124#449—731no—
1125#449—731no—
1126#449—731no—
1127#449—731no—
1128#449—731no—
1129#449—731no—
1130#449—731no—
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449C2×D7311yescharacteristic, complemented
1137#449C2×D7311yescharacteristic, complemented
1138#447—731no—
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447—731no—
1143#447—731no—
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447—731no—
1148#447C2×D7311yescharacteristic, complemented
1149C4×SD16—731no—
1150C4×SD16—731no—
1151C4×D8—731no—
1152C4×D8—731no—
1153C4×D8—731no—
1154C4×D8—731no—
1155C4×D8—731no—
1156C4×D8—731no—
1157#436—731no—
1158#436—731no—
1159#436—731no—
1160#436—731no—
1161C8×D4—731no—
1162C8×D4—731no—
1163C8×D4—731no—
1164C8×D4—731no—
1165#431—731no—
1166#431—731no—
1167#418—731no—
1168#418—731no—
1169#417—731no—
1170#417—731no—
1171#416—731no—
1172#416—731no—
1173C2×#102—731no—
1174C2×#102—731no—
1175#408—731no—
1176#408—731no—
1177#408—731no—
1178#408C2×D7311yescharacteristic, complemented
1179H(5,𝔽2)—2922no—
1180H(5,𝔽2)—2922no—
1181H(5,𝔽2)—2922no—
1182H(5,𝔽2)—2922no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—1461no—
1192C2×#41—1461no—
1193C2×#41—1461no—
1194C2×#41—1461no—
1195C2×#41C22×D7311yescharacteristic
1196C2×#41C22×D7311yescharacteristic
1197C22×D4—731no—
1198C22×D4—731no—
1199C22×D4—731no—
1200C22×D4—731no—
1201C22×D4—731no—
1202C22×D4—731no—
1203C22×D4—1461no—
1204C22×D4—1461no—
1205C22×D4—1461no—
1206C22×D4—1461no—
1207C22×D4—1461no—
1208C22×D4—1461no—
1209C22×D4—1461no—
1210C22×D4—1461no—
1211C22×D4—1461no—
1212C22×D4C22×D7311yescharacteristic
1213C23×C4—1461no—
1214AGL(1,ℤ/8)—2922no—
1215AGL(1,ℤ/8)—2922no—
1216AGL(1,ℤ/8)—2922no—
1217AGL(1,ℤ/8)—2922no—
1218#135—2922no—
1219#135—2922no—
1220C2×Q16—731no—
1221C2×Q16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16—731no—
1229C2×SD16—731no—
1230C2×SD16C22×D7311yescharacteristic
1231C2×SD16C22×D7311yescharacteristic
1232C2×D8—2922no—
1233C2×D8—2922no—
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8—731no—
1237C2×D8—731no—
1238C2×D8—731no—
1239C2×D8—731no—
1240C2×D8—731no—
1241C2×D8—731no—
1242C2×D8—731no—
1243C2×D8—731no—
1244C2×D8C22×D7311yescharacteristic
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16—731no—
1248C2×M16—731no—
1249C2×M16C22×D7311yescharacteristic
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8—731no—
1253C22×C8C22×D7311yescharacteristic
1254C4⋊Q8—731no—
1255C4⋊Q8—731no—
1256C4⋊Q8—731no—
1257#127—21no—
1258#127—731no—
1259#127—731no—
1260#127—731no—
1261#127—1461no—
1262#127—1461no—
1263#126—1461no—
1264#126—1461no—
1265#126—1461no—
1266#126—1461no—
1267#126—1461no—
1268#125—731no—
1269#124—21no—
1270#124—731no—
1271#124—731no—
1272#124—731no—
1273#124—731no—
1274#124—731no—
1275#124—1461no—
1276#124—1461no—
1277#124—1461no—
1278#123—1461no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292#123—1461no—
1293C22⋊Q8—21no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—731no—
1298C22⋊Q8—731no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303C22⋊Q8C22×D7311yescharacteristic
1304C22⋊Q8C22×D7311yescharacteristic
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121C22×D7311yescharacteristic
1347#121C22×D7311yescharacteristic
1348#121C22×D7311yescharacteristic
1349#121C22×D7311yescharacteristic
1350#121C22×D7311yescharacteristic
1351#121C22×D7311yescharacteristic
1352#120—21no—
1353#120—21no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368C4×Q8—731no—
1369C4×Q8—1461no—
1370C4×D4—731no—
1371C4×D4—731no—
1372C4×D4—731no—
1373C4×D4—731no—
1374C4×D4—731no—
1375C4×D4—731no—
1376C4×D4—731no—
1377C4×D4—731no—
1378C4×D4—731no—
1379C4×D4—731no—
1380C4×D4—731no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4—1461no—
1388C4×D4—1461no—
1389C4×D4—1461no—
1390#117—731no—
1391#117—1461no—
1392#117C22×D7311yescharacteristic
1393C2×C4⋊C4—731no—
1394C2×C4⋊C4—731no—
1395C2×C4⋊C4—1461no—
1396C2×C4⋊C4—1461no—
1397C2×C4⋊C4C22×D7311yescharacteristic
1398C2×C22⋊C4—1461no—
1399C2×C22⋊C4—1461no—
1400C2×C22⋊C4—1461no—
1401C2×C22⋊C4—1461no—
1402C2×C22⋊C4—1461no—
1403C2×C22⋊C4—1461no—
1404C2×C22⋊C4—1461no—
1405C2×C42—731no—
1406#107—731no—
1407#107—731no—
1408#107—731no—
1409#107—731no—
1410#107C22×D7311yescharacteristic
1411#107C22×D7311yescharacteristic
1412#106C22×D7311yescharacteristic
1413#106C22×D7311yescharacteristic
1414C4⋊C8—731no—
1415C4⋊C8—731no—
1416C4⋊C8—731no—
1417C4⋊C8—731no—
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103—731no—
1425#103—731no—
1426#103C22×D7311yescharacteristic
1427#103C22×D7311yescharacteristic
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102C22×D7311yescharacteristic
1445#102C22×D7311yescharacteristic
1446#102C22×D7311yescharacteristic
1447#102C22×D7311yescharacteristic
1448#102C22×D7311yescharacteristic
1449#102C22×D7311yescharacteristic
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8—731no—
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8C22×D7311yescharacteristic
1459C22⋊C8C22×D7311yescharacteristic
1460C22⋊C8C22×D7311yescharacteristic
1461C22⋊C8C22×D7311yescharacteristic
1462C4×C8—731no—
1463C4×C8—731no—
1464C4×C8—731no—
1465C4×C8—731no—
1466C24—21no—
1467C24—1461no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2921no—
1482#41—2921no—
1483#41—2921no—
1484#41—2921no—
1485#41—2924no—
1486#41—2924no—
1487#41—2921no—
1488#41—2921no—
1489#41—2921no—
1490#41—2921no—
1491#41—5842no—
1492#41—5842no—
1493#41—1462no—
1494#41—1462no—
1495#41—1462no—
1496#41—1462no—
1497C2×Q8—731no—
1498C2×Q8—731no—
1499C2×Q8—731no—
1500C2×Q8—1461no—
1501C2×Q8D4×D7311yescharacteristic
1502C2×Q8C23×D7311yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—2921no—
1514C2×D4—2921no—
1515C2×D4—2924no—
1516C2×D4—2924no—
1517C2×D4—2924no—
1518C2×D4—2924no—
1519C2×D4—2924no—
1520C2×D4—2924no—
1521C2×D4—2921no—
1522C2×D4—2921no—
1523C2×D4—2921no—
1524C2×D4—2921no—
1525C2×D4—5842no—
1526C2×D4—5842no—
1527C2×D4—5842no—
1528C2×D4—731no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—731no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1462no—
1542C2×D4—1462no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1462no—
1547C2×D4—1462no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1462no—
1556C2×D4—1462no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1461no—
1569C2×D4D4×D7311yescharacteristic
1570C2×D4D4×D7311yescharacteristic
1571C2×D4D4×D7311yescharacteristic
1572C2×D4C23×D7311yescharacteristic
1573C2×D4C23×D7311yescharacteristic
1574C2×D4C23×D7311yescharacteristic
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—5842no—
1578C22×C4—731no—
1579C22×C4—731no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—1461no—
1583C22×C4—1461no—
1584C22×C4—1461no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4—1461no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1461no—
1591C22×C4—1461no—
1592C22×C4—1461no—
1593C22×C4—1461no—
1594C22×C4—1461no—
1595C22×C4—1461no—
1596C22×C4—1461no—
1597C22×C4—1461no—
1598C22×C4C23×D7311yescharacteristic
1599C22×C4C23×D7311yescharacteristic
1600C22×C4C23×D7311yescharacteristic
1601Q16—2921no—
1602Q16—2921no—
1603SD16—41no—
1604SD16—41no—
1605SD16—2921no—
1606SD16—2921no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—1462no—
1612SD16—1462no—
1613D8—41no—
1614D8—41no—
1615D8—2921no—
1616D8—2921no—
1617D8—2921no—
1618D8—2921no—
1619D8—1462no—
1620D8—1462no—
1621D8—1462no—
1622D8—1462no—
1623D8—1462no—
1624D8—1462no—
1625M16—41no—
1626M16—2921no—
1627M16—2921no—
1628M16—2921no—
1629C2×C8—41no—
1630C2×C8—2921no—
1631C2×C8—2921no—
1632C2×C8—2921no—
1633C2×C8—731no—
1634C2×C8—731no—
1635C2×C8—731no—
1636C2×C8—731no—
1637C2×C8C23×D7311yescharacteristic
1638C2×C8C23×D7311yescharacteristic
1639C2×C8C23×D7311yescharacteristic
1640C2×C8C23×D7311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—731no—
1645C4⋊C4—731no—
1646C4⋊C4—731no—
1647C4⋊C4—731no—
1648C4⋊C4—731no—
1649C4⋊C4—731no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4—1461no—
1662C4⋊C4—1461no—
1663C4⋊C4C23×D7311yescharacteristic
1664C4⋊C4C23×D7311yescharacteristic
1665C4⋊C4C23×D7311yescharacteristic
1666C4⋊C4C23×D7311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—731no—
1677C22⋊C4—731no—
1678C22⋊C4—731no—
1679C22⋊C4—731no—
1680C22⋊C4—731no—
1681C22⋊C4—731no—
1682C22⋊C4—731no—
1683C22⋊C4—731no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C42—21no—
1711C42—731no—
1712C42—731no—
1713C42—731no—
1714C42—731no—
1715C42—1461no—
1716C42—1461no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—81no—
1721C23—81no—
1722C23—81no—
1723C23—2922no—
1724C23—2922no—
1725C23—2922no—
1726C23—2922no—
1727C23—5841no—
1728C23—5841no—
1729C23—5841no—
1730C23—5841no—
1731C23—5841no—
1732C23—5841no—
1733C23—5841no—
1734C23—5841no—
1735C23—5841no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—731no—
1741C23—731no—
1742C23—1464no—
1743C23—1461no—
1744C23—1461no—
1745C23—1461no—
1746C23—1461no—
1747C23C2×D4×D7311yescharacteristic
1748C23C2×D4×D7311yescharacteristic
1749C23C2×D4×D7311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—41no—
1753Q8—2921no—
1754Q8—2922no—
1755Q8—1461no—
1756Q8—1461no—
1757Q8—1461no—
1758Q8—1461no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—41no—
1766D4—41no—
1767D4—41no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—2922no—
1777D4—2922no—
1778D4—2921no—
1779D4—2922no—
1780D4—2922no—
1781D4—2922no—
1782D4—2922no—
1783D4—2922no—
1784D4—2922no—
1785D4—2922no—
1786D4—2921no—
1787D4—2921no—
1788D4—2921no—
1789D4—2921no—
1790D4—2922no—
1791D4—2922no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—732no—
1805D4—732no—
1806D4—1464no—
1807D4—1462no—
1808D4—1462no—
1809D4—1461no—
1810D4—1461no—
1811D4—1461no—
1812D4—1461no—
1813D4—1461no—
1814D4—1461no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—42no—
1827C2×C4—81no—
1828C2×C4—2922no—
1829C2×C4—2922no—
1830C2×C4—2922no—
1831C2×C4—2922no—
1832C2×C4—2922no—
1833C2×C4—2922no—
1834C2×C4—2922no—
1835C2×C4—2922no—
1836C2×C4—2921no—
1837C2×C4—5841no—
1838C2×C4—5841no—
1839C2×C4—5841no—
1840C2×C4—5841no—
1841C2×C4—5841no—
1842C2×C4—5841no—
1843C2×C4—5841no—
1844C2×C4—5841no—
1845C2×C4—731no—
1846C2×C4—731no—
1847C2×C4—731no—
1848C2×C4—731no—
1849C2×C4—731no—
1850C2×C4—731no—
1851C2×C4—1461no—
1852C2×C4—1461no—
1853C2×C4—1461no—
1854C2×C4—1461no—
1855C2×C4—1462no—
1856C2×C4—1461no—
1857C2×C4—1461no—
1858C2×C4—1461no—
1859C2×C4—1461no—
1860C2×C4C2×D4×D7311yescharacteristic
1861C2×C4C2×D4×D7311yescharacteristic
1862C2×C4C2×D4×D7311yescharacteristic
1863C2×C4C24×D7311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1461no—
1869C8—1461no—
1870C8—1461no—
1871C8—1461no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—162no—
1891C22—2921no—
1892C22—2921no—
1893C22—2921no—
1894C22—2921no—
1895C22—2921no—
1896C22—2921no—
1897C22—2921no—
1898C22—2921no—
1899C22—2921no—
1900C22—2921no—
1901C22—5844no—
1902C22—11682no—
1903C22—11682no—
1904C22—11682no—
1905C22—11682no—
1906C22—11682no—
1907C22—1462no—
1908C22—1462no—
1909C22—1461no—
1910C22—1461no—
1911C22—1461no—
1912C22—1461no—
1913C22—1461no—
1914C22—1461no—
1915C22C22×D4×D7311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—2921no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—732no—
1929C4—1461no—
1930C4—1461no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4H(5,𝔽2)×D7311yescharacteristic
1935C4H(5,𝔽2)×D7311yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—41no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—2922no—
1943C2—2922no—
1944C2—2921no—
1945C2—2921no—
1946C2—5841no—
1947C2—5841no—
1948C2#2262356311yescharacteristic
1949C2#576×D7311yescharacteristic
1950C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3198C2
socleC22×C73C23×D4
hypercenter#3198D73
hypocenterC73#61657
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #22624301C2semidirect
2. #22623694C2semidirect
3. #22622231C2semidirect
4. #22622160C2semidirect
5. #22622130C2semidirect
6. #22622127C2semidirect
7. #22621846C2semidirect
8. #22621787C2semidirect
9. #22621784C2semidirect
10. #22621739C2semidirect
11. #22621658C2semidirect
12. #22621619C2semidirect
13. #22621609C2semidirect
14. #22621601C2semidirect
15. #22621548C2semidirect
16. #22621542C2semidirect
17. #22621539C2semidirect
18. #22621529C2semidirect
19. #22620904C2semidirect
20. #22620862C2semidirect
21. #22620831C2semidirect
22. #22620828C2semidirect
23. #22620788C2semidirect
24. #22619975C2semidirect
25. #22619928C2semidirect
26. #22619238C2semidirect
27. #22619233C2semidirect
28. #22619197C2semidirect
29. #22619196C2semidirect
30. #22618995C2semidirect
31. C73×#3198C2semidirect
32. C2×#14556637C22semidirect
33. C2×#14556637C22semidirect
34. C2×#14556619C22semidirect
35. C2×#14556618C22semidirect
36. C2×#14556617C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556613C22semidirect
39. C2×#14556612C22semidirect
40. C22×#11924013C22semidirect
41. C2×D8×D73C22semidirect
44. #17989305C22semidirect
45. #17989289C22semidirect
46. #17989281C22semidirect
48. #17989255C22semidirect
51. #17989239C22semidirect
52. #17989237C22semidirect
54. #17989234C22semidirect
55. #17989234C22semidirect
56. #17989234C22semidirect
57. #17989231C22semidirect
59. #17989228C22semidirect
60. #17989228C22semidirect
64. #17989221C22semidirect
65. D4×C22⋊D73C22semidirect
69. #17989168C22semidirect
70. #17989166C22semidirect
71. #17989165C22semidirect
72. #17989153C22semidirect
77. #17989133C22semidirect
78. #17989132C22semidirect
79. #17989118C22semidirect
82. C2×#14556553C22semidirect
83. #17988970C22semidirect
84. #17988968C22semidirect
85. #17988962C22semidirect
86. #17988958C22semidirect
87. #17988943C22semidirect
88. #17988940C22semidirect
89. #17988936C22semidirect
90. #17988932C22semidirect
91. #17988931C22semidirect
92. #17988924C22semidirect
93. #17988922C22semidirect
94. #17988920C22semidirect
95. #17988913C22semidirect
96. #17988902C22semidirect
97. #17988900C22semidirect
98. #17988898C22semidirect
99. #17988886C22semidirect
100. #17988886C22semidirect
101. #17988866C22semidirect
102. #17988866C22semidirect
103. #17988841C22semidirect
104. #17988835C22semidirect
105. #17988834C22semidirect
106. #17988832C22semidirect
107. #17988832C22semidirect
108. #17988831C22semidirect
109. #17988829C22semidirect
110. #17988826C22semidirect
111. #17988822C22semidirect
112. #17988822C22semidirect
113. #17988821C22semidirect
114. #17988817C22semidirect
115. #17988805C22semidirect
116. #17988804C22semidirect
117. #17988801C22semidirect
118. #17988801C22semidirect
119. #17988801C22semidirect
120. #17988800C22semidirect
121. #17988796C22semidirect
122. #17988790C22semidirect
123. #17988786C22semidirect
124. #17988781C22semidirect
125. #17988781C22semidirect
126. #17988780C22semidirect
127. #17988752C22semidirect
128. #17988751C22semidirect
129. #17988751C22semidirect
130. #17988750C22semidirect
131. #17988749C22semidirect
132. #17988747C22semidirect
133. #17988740C22semidirect
134. #17988740C22semidirect
135. #17988739C22semidirect
136. #17988739C22semidirect
137. #17988735C22semidirect
138. #17988734C22semidirect
139. #17988734C22semidirect
140. #17988733C22semidirect
141. #17988732C22semidirect
142. #17988731C22semidirect
143. #17988731C22semidirect
144. #17988730C22semidirect
145. #17988730C22semidirect
146. #17988730C22semidirect
147. #17988730C22semidirect
148. #17988730C22semidirect
149. #17988723C22semidirect
150. #17988723C22semidirect
151. #17988722C22semidirect
152. #17988722C22semidirect
154. #17988720C22semidirect
155. #17988720C22semidirect
156. #17988720C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988674C22semidirect
160. #17988674C22semidirect
161. #17988669C22semidirect
162. #17988669C22semidirect
163. #17988667C22semidirect
164. #17988667C22semidirect
165. #17988667C22semidirect
166. #17988667C22semidirect
167. #17988663C22semidirect
168. #17988663C22semidirect
169. #17988662C22semidirect
170. #17988662C22semidirect
171. C8×C22⋊D73C22semidirect
172. C8×C22⋊D73C22semidirect
173. #17988650C22semidirect
174. #17988650C22semidirect
175. #17988637C22semidirect
176. #17988637C22semidirect
177. #17988591C22semidirect
178. #17988590C22semidirect
179. #17988589C22semidirect
180. #17988587C22semidirect
181. #17988582C22semidirect
182. #17988581C22semidirect
183. C2×#14556513C22semidirect
184. #102×D73C22semidirect
185. #17988554C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
188. #537×C73C22semidirect
189. #535×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #480×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #466×C73C22semidirect
197. #465×C73C22semidirect
198. #450×C73C22semidirect
199. #449×C73C22semidirect
200. #449×C73C22semidirect
201. #447×C73C22semidirect
202. #408×C73C22semidirect
999. #3198D73semidirect
1007. C73#61657semidirect
1048. #537C2×D73semidirect
1051. #535C2×D73semidirect
1070. #485C2×D73semidirect
1075. #482C2×D73semidirect
1076. #481C2×D73semidirect
1080. #480C2×D73semidirect
1086. #469C2×D73semidirect
1092. #468C2×D73semidirect
1098. #466C2×D73semidirect
1100. #465C2×D73semidirect
1123. #450C2×D73semidirect
1136. #449C2×D73semidirect
1137. #449C2×D73semidirect
1148. #447C2×D73semidirect
1178. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243012
#226236942
#226222312
#226221602
#226221302
#226221272
#226218462
#226217872
#226217842
#226217392
#226216582
#226216192
#226216092
#226216012
#226215482
#226215422
#226215392
#226215292
#226209042
#226208622
#226208312
#226208282
#226207882
#226199752
#226199282
#226192382
#226192332
#226191972
#226191962
#226189952
C73×#31982
#6165773