Finite Group Databasebeta

← #33983185

Subgroups — #33983185

Order 18688.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624578C211yesmaximal, characteristic, complemented
2#22623859C211yesmaximal, characteristic, complemented
3#22622890C211yesmaximal, characteristic, complemented
4#22622804C211yesmaximal, characteristic, complemented
5#22622704C211yesmaximal, characteristic, complemented
6#22622592C211yesmaximal, characteristic, complemented
7#22622528C211yesmaximal, characteristic, complemented
8#22622489C211yesmaximal, characteristic, complemented
9#22622484C211yesmaximal, characteristic, complemented
10#22622465C211yesmaximal, characteristic, complemented
11#22622376C211yesmaximal, characteristic, complemented
12#22622326C211yesmaximal, characteristic, complemented
13#22622155C211yesmaximal, characteristic, complemented
14#22622152C211yesmaximal, characteristic, complemented
15#22622136C211yesmaximal, characteristic, complemented
16#22622092C211yesmaximal, characteristic, complemented
17#22622076C211yesmaximal, characteristic, complemented
18#22621770C211yesmaximal, characteristic, complemented
19#22621387C211yesmaximal, characteristic, complemented
20#22621347C211yesmaximal, characteristic, complemented
21#22621329C211yesmaximal, characteristic, complemented
22#22621231C211yesmaximal, characteristic, complemented
23#22621183C211yesmaximal, characteristic, complemented
24#22621109C211yesmaximal, characteristic, complemented
25#22620205C211yesmaximal, characteristic, complemented
26#22619977C211yesmaximal, characteristic, complemented
27#22619777C211yesmaximal, characteristic, complemented
28#22619762C211yesmaximal, characteristic, complemented
29#22619723C211yesmaximal, characteristic, complemented
30#22619074C211yesmaximal, characteristic, complemented
31C73×#3118C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989334—21no—
34#17989320C2211yescharacteristic
35#17989316C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic
37#17989304—21no—
38#17989302C2211yescharacteristic, complemented
39#17989296C2211yescharacteristic, complemented
40#17989294C2211yescharacteristic
41#17989289C2211yescharacteristic
42#17989284C2211yescharacteristic, complemented
43#17989283—21no—
44#17989281C2211yescharacteristic
45#17989279C2211yescharacteristic, complemented
46#17989278C2211yescharacteristic, complemented
47#17989276C2211yescharacteristic
48#17989274—21no—
49#17989266—21no—
50#17989263—21no—
51#17989242C2211yescharacteristic
52#17989232C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989227—21no—
55D4×C22⋊D73C2211yescharacteristic
56#17989215C2211yescharacteristic, complemented
57#17989214C2211yescharacteristic, complemented
58#17989208C2211yescharacteristic
59#17989206—21no—
60#17989206C2211yescharacteristic, complemented
61#17989201—21no—
62#17989197—21no—
63#17989188C2211yescharacteristic
64#17989186—21no—
65#17989179—21no—
66#17989175—21no—
67#17989142C2211yescharacteristic, complemented
68#17989119C2211yescharacteristic
69#17989116C2211yescharacteristic, complemented
70#17989115C2211yescharacteristic
71#17989096—21no—
72C2×#14556573—21no—
73#17989066C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988987C2211yescharacteristic, complemented
78#17988987C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988985C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988947C2211yescharacteristic, complemented
83#17988942C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic
87#17988931C2211yescharacteristic, complemented
88#17988931C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic
95#17988910C2211yescharacteristic
96#17988910C2211yescharacteristic
97#17988910C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988906C2211yescharacteristic
100#17988904C2211yescharacteristic, complemented
101#17988904C2211yescharacteristic, complemented
102#17988899C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988893C2211yescharacteristic, complemented
105#17988892C2211yescharacteristic, complemented
106#17988892C2211yescharacteristic, complemented
107#17988890C2211yescharacteristic, complemented
108#17988890C2211yescharacteristic, complemented
109#17988889C2211yescharacteristic
110#17988889C2211yescharacteristic
111#17988889C2211yescharacteristic
112#17988889C2211yescharacteristic, complemented
113#17988888C2211yescharacteristic, complemented
114#17988887C2211yescharacteristic
115#17988887C2211yescharacteristic
116#17988887C2211yescharacteristic, complemented
117#17988887C2211yescharacteristic, complemented
118#17988885C2211yescharacteristic, complemented
119#17988882C2211yescharacteristic, complemented
120#17988881C2211yescharacteristic, complemented
121#17988879C2211yescharacteristic, complemented
122#17988878C2211yescharacteristic, complemented
123#17988877C2211yescharacteristic
124#17988877C2211yescharacteristic, complemented
125#17988873C2211yescharacteristic, complemented
126#17988867C2211yescharacteristic
127#17988867C2211yescharacteristic, complemented
128#17988867C2211yescharacteristic, complemented
129#17988865C2211yescharacteristic
130#17988864C2211yescharacteristic, complemented
131#17988844C2211yescharacteristic, complemented
132#17988837C2211yescharacteristic
133#17988837C2211yescharacteristic, complemented
134#17988836C2211yescharacteristic, complemented
135#17988835C2211yescharacteristic
136#17988832C2211yescharacteristic, complemented
137#17988831C2211yescharacteristic, complemented
138#17988830C2211yescharacteristic
139#17988826C2211yescharacteristic, complemented
140#17988822C2211yescharacteristic, complemented
141#17988821C2211yescharacteristic
142#17988813C2211yescharacteristic, complemented
143#17988809C2211yescharacteristic, complemented
144#17988807C2211yescharacteristic, complemented
145#17988806C2211yescharacteristic, complemented
146#17988802C2211yescharacteristic, complemented
147#17988800C2211yescharacteristic, complemented
148#17988799C2211yescharacteristic, complemented
149#17988785C2211yescharacteristic
150#17988780C2211yescharacteristic
151#17988746C2211yescharacteristic
152#17988736C2211yescharacteristic
153#17988729C2211yescharacteristic
154#17988719C2211yescharacteristic
155#17988715C2211yescharacteristic, complemented
156C8×Dic146C2211yescharacteristic, complemented
157#17988699C2211yescharacteristic
158#17988691C2211yescharacteristic, complemented
159#17988678C2211yescharacteristic, complemented
160SD16×Dic73C2211yescharacteristic
161SD16×Dic73C2211yescharacteristic
162#17988672C2211yescharacteristic, complemented
163D8×Dic73C2211yescharacteristic
164#17988667C2211yescharacteristic, complemented
165#17988666C2211yescharacteristic, complemented
166#17988662C2211yescharacteristic
167#17988662C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic
170#17988650C2211yescharacteristic, complemented
171#17988647C2211yescharacteristic, complemented
172#17988639C2211yescharacteristic, complemented
173#17988630C2211yescharacteristic, complemented
174#17988628C2211yescharacteristic, complemented
175#17988628C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988614C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988592C2211yescharacteristic
183#17988590C2211yescharacteristic
184#17988590C2211yescharacteristic
185#17988585C2211yescharacteristic
186#17988580C2211yescharacteristic
187C2×#14556512C2211yescharacteristic
188#542×C73C2211yescharacteristic, complemented
189#518×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#476×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic
201C4×D8×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027C2311yescharacteristic
205C22×C22⋊D73—21no—
206C2×D4×D73C2311yescharacteristic
207C22×C4×D73—21no—
208C2×#11924018C2311yescharacteristic
209C2×#11924016C2311yescharacteristic
210C2×#11924015C2311yescharacteristic
211C2×#11924013C2311yescharacteristic
212C2×#11924012C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C22×#10596831C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218#14556591—21no—
219#14556591C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556590—21no—
223#14556590C2311yescharacteristic
224#14556589—21no—
225#14556587C2311yescharacteristic
226#14556586—21no—
227#14556586—21no—
228#14556586—21no—
229#14556586D411yescharacteristic
230#14556585—21no—
231#14556585—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584D411yescharacteristic
240#14556583—21no—
241#14556583C2311yescharacteristic
242#14556583C2311yescharacteristic
243#14556582—21no—
244#14556582—21no—
245#14556582—21no—
246#14556582—21no—
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581D411yescharacteristic
255#14556579C2311yescharacteristic
256#14556578C2311yescharacteristic
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556576D411yescharacteristic
266#14556575—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575—21no—
270#14556574—21no—
271#14556574—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573D411yescharacteristic
282#14556572—21no—
283#14556572—21no—
284#14556571—21no—
285#14556571C2311yescharacteristic
286#14556570—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556569—21no—
291#14556569—21no—
292#14556569D411yescharacteristic
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556565—21no—
306#14556565—21no—
307#14556565—21no—
308#14556565C2311yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556564D411yescharacteristic
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556562—21no—
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556561—21no—
321#14556560—21no—
322#14556560—21no—
323#14556559—21no—
324Q8×Dic73—21no—
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556—21no—
332#14556556C2311yescharacteristic
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73—21no—
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556550—21no—
353#14556550—21no—
354#14556550C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556548—21no—
359#14556548—21no—
360#14556548C2311yescharacteristic
361#14556547—21no—
362#14556547—21no—
363#14556547—21no—
364C2×C4⋊Dic73—21no—
365C2×C4⋊Dic73C2311yescharacteristic
366C2×#11924007—21no—
367C2×#11924007—21no—
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C2×C22⋊Dic73—21no—
372C2×#11924005—21no—
373C22⋊C4×D73—21no—
374C42×D73C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556501C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C22×D4×C73C2311yescharacteristic
436C2×SD16×C73C2311yescharacteristic
437C2×SD16×C73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441#126×C73—21no—
442#124×C73—21no—
443#124×C73C2311yescharacteristic
444#123×C73—21no—
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73C2311yescharacteristic
447#121×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457#117×C73C2311yescharacteristic
458C2×C22⋊C4×C73—21no—
459C2×C22⋊C4×C73—21no—
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924028—82no—
480#11924027—22no—
481#11924027—41no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146C2×D411yescharacteristic
487C2×Dic146C2411yescharacteristic
488C2×D292—21no—
489C2×D292C2×D411yescharacteristic
490C2×D292C2411yescharacteristic
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—82no—
501C2×C22⋊D73C2×D411yescharacteristic
502C2×C22⋊D73C2×D411yescharacteristic
503D4×D73—22no—
504D4×D73—41no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—82no—
517C2×C4×D73C2×D411yescharacteristic
518C2×C4×D73C2×D411yescharacteristic
519C2×C4×D73C2411yescharacteristic
520C2×C4×D73C2411yescharacteristic
521#11924018—41no—
522#11924016—41no—
523#11924015—41no—
524#11924013—41no—
525#11924012—41no—
526#11924011—41no—
527#11924011—41no—
528#11924011—41no—
529C2×#10596831—41no—
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C8×D73—41no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73C2×D411yescharacteristic
592C22⋊Dic73C2×D411yescharacteristic
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73C2×D411yescharacteristic
620C4×Dic73C2×D411yescharacteristic
621C4×Dic73C2411yescharacteristic
622C4×Dic73C2411yescharacteristic
623C24×C73—21no—
624C2×Q8×C73—21no—
625C2×Q8×C73C2411yescharacteristic
626C2×D4×C73—22no—
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73—41no—
630C2×D4×C73C2411yescharacteristic
631C2×D4×C73C2411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73C2411yescharacteristic
639SD16×C73—22no—
640SD16×C73—41no—
641D8×C73—22no—
642D8×C73—41no—
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73C2×D411yescharacteristic
651C4⋊C4×C73C2×D411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C42×C73—21no—
669C42×C73—21no—
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—42no—
676C23×C73—81no—
677C23×C73—81no—
678C23×C73C22×D411yescharacteristic
679C22×D73—21no—
680C22×D73—42no—
681C22×D73—42no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—81no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—42no—
694D4×C73—81no—
695D4×C732−1+412yes—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—81no—
704C2×C4×C73—81no—
705C2×C4×C73—81no—
706C2×C4×C73—81no—
707C2×C4×C73—81no—
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C2511yescharacteristic
714C22⋊D73—41no—
715C22⋊D73—41no—
716C22⋊D73—42no—
717C22⋊D73—42no—
718C22⋊D73—42no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—42no—
733C2×Dic73—81no—
734C2×Dic73—81no—
735C2×Dic73—81no—
736C2×Dic73—81no—
737C2×Dic73—81no—
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744D292—21no—
745D292—21no—
746D292—41no—
747D292—81no—
748C4×D73—21no—
749C4×D73—21no—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—41no—
753C4×D73—41no—
754C4×D73—42no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759Dic146—21no—
760Dic146—21no—
761Dic146—41no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—22no—
777C22×C73—21no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—162no—
787C22×C73C23×D411yescharacteristic
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—84no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73C2×2−1+411yescharacteristic
809C4×C73#58511yescharacteristic
810Dic73—21no—
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62175—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73—81no—
827C2×C73—81no—
828C2×C73#348911yescharacteristic
829C2×C73#358411yescharacteristic
830C2×C73#358511yescharacteristic
831D73—41no—
832D73—41no—
833D73—81no—
834#3565—731no—
835#3513—731no—
836#3389—731no—
837#3381—731no—
838#3371—731no—
839#3361—731no—
840#3354—731no—
841#3351—731no—
842#3351—731no—
843#3349—731no—
844#3343—731no—
845#3339—731no—
846#3324—731no—
847#3323—731no—
848#3322—731no—
849#3319—731no—
850#3318—731no—
851#3296—731no—
852#3262—731no—
853#3257—731no—
854#3256—731no—
855#3244—731no—
856#3241—731no—
857#3233—731no—
858#3125—731no—
859#3118D7311yescharacteristic, complemented
860#3105—731no—
861#3083—731no—
862#3081—731no—
863#3077—731no—
864#2993—731no—
865C73#6217511yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—1461no—
872#555—731no—
873#554—731no—
874#554—731no—
875#553—731no—
876#553—731no—
877#553—731no—
878#553—1461no—
879#552—731no—
880#552—731no—
881#552—731no—
882#552—1461no—
883#551—1461no—
884#551—1461no—
885#547—731no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—1461no—
895#542—1461no—
896#542C2×D7311yescharacteristic, complemented
897#541—1461no—
898#540—731no—
899#539—1461no—
900#539—1461no—
901#538—1461no—
902#533—731no—
903#529—731no—
904#529—731no—
905#529—731no—
906#525—1461no—
907C2×#123—1461no—
908#520—731no—
909#518C2×D7311yescharacteristic
910C2×C4×D4—731no—
911#501—731no—
912#501—731no—
913#499—731no—
914#499—731no—
915#499—731no—
916#498—731no—
917#490—731no—
918#489—731no—
919#488—731no—
920#488—731no—
921#488—731no—
922#486—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485C2×D7311yescharacteristic, complemented
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482C2×D7311yescharacteristic, complemented
936#481—731no—
937#481—731no—
938#481—731no—
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#477—731no—
958#477—731no—
959#477—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476C2×D7311yescharacteristic, complemented
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474C2×D7311yescharacteristic
971#470—731no—
972#469—731no—
973#469—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468—731no—
979#467—731no—
980#466—731no—
981#466—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463C2×D7311yescharacteristic
990#463C2×D7311yescharacteristic, complemented
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450C2×D7311yescharacteristic
996#449—731no—
997#447—731no—
998#447C2×D7311yescharacteristic
999#446—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442C2×D7311yescharacteristic
1003#441—731no—
1004#440C2×D7311yescharacteristic, complemented
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16—731no—
1008C4×SD16—731no—
1009C4×SD16C2×D7311yescharacteristic
1010C4×D8—731no—
1011C4×D8—731no—
1012C4×D8C2×D7311yescharacteristic, complemented
1013#436—731no—
1014#436—731no—
1015#436—731no—
1016#435—731no—
1017#435—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433C2×D7311yescharacteristic, complemented
1021#431—731no—
1022#428—731no—
1023#428—731no—
1024#428—731no—
1025#428—731no—
1026#427—731no—
1027C2×#107—731no—
1028#424—731no—
1029#424—731no—
1030#423—731no—
1031#418—731no—
1032#418—731no—
1033#418—731no—
1034#417—731no—
1035#416—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×D4—731no—
1040C22×D4—1461no—
1041C22×D4C22×D7311yescharacteristic
1042C23×C4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16C22×D7311yescharacteristic
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8C22×D7311yescharacteristic
1050C2×D8C22×D7311yescharacteristic
1051C2×M16—731no—
1052C2×M16—731no—
1053C2×M16—731no—
1054C2×M16—731no—
1055C22×C8—731no—
1056C22×C8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—1461no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8C22×D7311yescharacteristic
1065#127—731no—
1066#126—21no—
1067#126—731no—
1068#126—731no—
1069#126—1461no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#125—731no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125—1461no—
1096#124—21no—
1097#124—731no—
1098#124—731no—
1099#124—731no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124C22×D7311yescharacteristic
1107#123—21no—
1108#123—731no—
1109#123—731no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—21no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121C22×D7311yescharacteristic
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8C22×D7311yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—1461no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—1461no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117C22×D7311yescharacteristic
1220#117C22×D7311yescharacteristic
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4—1461no—
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C22⋊C4—1461no—
1233C2×C42—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8C22×D7311yescharacteristic
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103—731no—
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97C22×D7311yescharacteristic
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C4×C8C22×D7311yescharacteristic
1312C24—21no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—731no—
1319C2×Q8—731no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8C23×D7311yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—41no—
1329C2×D4—2921no—
1330C2×D4—5842no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—1461no—
1336C2×D4—1461no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1462no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4C23×D7311yescharacteristic
1347C2×D4C23×D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—5842no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—731no—
1358C22×C4—731no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—22no—
1377D8—41no—
1378D8—2921no—
1379M16—2921no—
1380M16—2921no—
1381M16—2921no—
1382M16—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—731no—
1397C4⋊C4—731no—
1398C4⋊C4—731no—
1399C4⋊C4—731no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—1461no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4D4×D7311yescharacteristic
1441C4⋊C4D4×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C4⋊C4C23×D7311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
1461C22⋊C4—731no—
1462C22⋊C4—731no—
1463C22⋊C4—731no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4D4×D7311yescharacteristic
1489C22⋊C4D4×D7311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23—2922no—
1513C23—2922no—
1514C23—5841no—
1515C23—731no—
1516C23—731no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—2921no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—1461no—
1528Q8—1461no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—81no—
1536D4—2921no—
1537D4—2922no—
1538D4—2922no—
1539D4—2922no—
1540D4—2921no—
1541D4—2921no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—1461no—
1550D4—1461no—
1551D4#1455663812yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—2921no—
1565C2×C4—2921no—
1566C2×C4—2922no—
1567C2×C4—2922no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—731no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—1461no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—162no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—5844no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—2921no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663811yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—2921no—
1662C2—2921no—
1663C2—5841no—
1664C2#2262360311yescharacteristic
1665C2#2262470311yescharacteristic
1666C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3118C2
socleC22×C73C23×D4
hypercenter#3118D73
hypocenterC73#62175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #22624578C2semidirect
2. #22623859C2semidirect
3. #22622890C2semidirect
4. #22622804C2semidirect
5. #22622704C2semidirect
6. #22622592C2semidirect
7. #22622528C2semidirect
8. #22622489C2semidirect
9. #22622484C2semidirect
10. #22622465C2semidirect
11. #22622376C2semidirect
12. #22622326C2semidirect
13. #22622155C2semidirect
14. #22622152C2semidirect
15. #22622136C2semidirect
16. #22622092C2semidirect
17. #22622076C2semidirect
18. #22621770C2semidirect
19. #22621387C2semidirect
20. #22621347C2semidirect
21. #22621329C2semidirect
22. #22621231C2semidirect
23. #22621183C2semidirect
24. #22621109C2semidirect
25. #22620205C2semidirect
26. #22619977C2semidirect
27. #22619777C2semidirect
28. #22619762C2semidirect
29. #22619723C2semidirect
30. #22619074C2semidirect
31. C73×#3118C2semidirect
35. #17989316C22semidirect
38. #17989302C22semidirect
39. #17989296C22semidirect
42. #17989284C22semidirect
45. #17989279C22semidirect
46. #17989278C22semidirect
56. #17989215C22semidirect
57. #17989214C22semidirect
60. #17989206C22semidirect
67. #17989142C22semidirect
69. #17989116C22semidirect
75. #17988996C22semidirect
76. #17988994C22semidirect
77. #17988987C22semidirect
78. #17988987C22semidirect
79. #17988987C22semidirect
80. #17988985C22semidirect
82. #17988947C22semidirect
83. #17988942C22semidirect
84. #17988940C22semidirect
85. #17988940C22semidirect
87. #17988931C22semidirect
88. #17988931C22semidirect
89. #17988929C22semidirect
90. #17988921C22semidirect
91. #17988918C22semidirect
92. #17988916C22semidirect
93. #17988913C22semidirect
97. #17988910C22semidirect
98. #17988907C22semidirect
100. #17988904C22semidirect
101. #17988904C22semidirect
102. #17988899C22semidirect
103. #17988895C22semidirect
104. #17988893C22semidirect
105. #17988892C22semidirect
106. #17988892C22semidirect
107. #17988890C22semidirect
108. #17988890C22semidirect
112. #17988889C22semidirect
113. #17988888C22semidirect
116. #17988887C22semidirect
117. #17988887C22semidirect
118. #17988885C22semidirect
119. #17988882C22semidirect
120. #17988881C22semidirect
121. #17988879C22semidirect
122. #17988878C22semidirect
124. #17988877C22semidirect
125. #17988873C22semidirect
127. #17988867C22semidirect
128. #17988867C22semidirect
130. #17988864C22semidirect
131. #17988844C22semidirect
133. #17988837C22semidirect
134. #17988836C22semidirect
136. #17988832C22semidirect
137. #17988831C22semidirect
139. #17988826C22semidirect
140. #17988822C22semidirect
142. #17988813C22semidirect
143. #17988809C22semidirect
144. #17988807C22semidirect
145. #17988806C22semidirect
146. #17988802C22semidirect
147. #17988800C22semidirect
148. #17988799C22semidirect
155. #17988715C22semidirect
156. C8×Dic146C22semidirect
158. #17988691C22semidirect
159. #17988678C22semidirect
162. #17988672C22semidirect
164. #17988667C22semidirect
165. #17988666C22semidirect
167. #17988662C22semidirect
168. #17988660C22semidirect
170. #17988650C22semidirect
171. #17988647C22semidirect
172. #17988639C22semidirect
173. #17988630C22semidirect
174. #17988628C22semidirect
175. #17988628C22semidirect
176. #17988628C22semidirect
177. #17988623C22semidirect
178. #107×D73C22semidirect
179. #17988614C22semidirect
180. #17988612C22semidirect
181. #17988609C22semidirect
188. #542×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #476×C73C22semidirect
195. #463×C73C22semidirect
199. #440×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #433×C73C22semidirect
859. #3118D73semidirect
865. C73#62175semidirect
896. #542C2×D73semidirect
926. #485C2×D73semidirect
935. #482C2×D73semidirect
963. #476C2×D73semidirect
990. #463C2×D73semidirect
1004. #440C2×D73semidirect
1012. C4×D8C2×D73semidirect
1020. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245782
#226238592
#226228902
#226228042
#226227042
#226225922
#226225282
#226224892
#226224842
#226224652
#226223762
#226223262
#226221552
#226221522
#226221362
#226220922
#226220762
#226217702
#226213872
#226213472
#226213292
#226212312
#226211832
#226211092
#226202052
#226199772
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C73×#31182
#6217573