Finite Group Databasebeta

← #33971591

Subgroups — #33971591

Order 18688.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624251C211yesmaximal, characteristic, complemented
2#22623578C211yesmaximal, characteristic, complemented
3#22622220C211yesmaximal, characteristic, complemented
4#22622190C211yesmaximal, characteristic, complemented
5#22622112C211yesmaximal, characteristic, complemented
6#22622097C211yesmaximal, characteristic, complemented
7#22621980C211yesmaximal, characteristic, complemented
8#22621920C211yesmaximal, characteristic, complemented
9#22621816C211yesmaximal, characteristic, complemented
10#22621794C211yesmaximal, characteristic, complemented
11#22621642C211yesmaximal, characteristic, complemented
12#22621625C211yesmaximal, characteristic, complemented
13#22621594C211yesmaximal, characteristic, complemented
14#22621569C211yesmaximal, characteristic, complemented
15#22621523C211yesmaximal, characteristic, complemented
16#22621448C211yesmaximal, characteristic, complemented
17#22621445C211yesmaximal, characteristic, complemented
18#22621430C211yesmaximal, characteristic, complemented
19#22621036C211yesmaximal, characteristic, complemented
20#22620990C211yesmaximal, characteristic, complemented
21#22620811C211yesmaximal, characteristic, complemented
22#22620805C211yesmaximal, characteristic, complemented
23#22620719C211yesmaximal, characteristic, complemented
24#22620218C211yesmaximal, characteristic, complemented
25#22620155C211yesmaximal, characteristic, complemented
26#22619244C211yesmaximal, characteristic, complemented
27#22619214C211yesmaximal, characteristic, complemented
28#22619168C211yesmaximal, characteristic, complemented
29C2×#17988725C211yesmaximal, characteristic, complemented
30#22618981C211yesmaximal, characteristic, complemented
31C73×#3194C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic, complemented
33C23×Dic146C2211yescharacteristic, complemented
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556624C2211yescharacteristic, complemented
36C2×#14556620C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556610C2211yescharacteristic, complemented
39C22×#11924016C2211yescharacteristic
40C22×#11924016C2211yescharacteristic
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989332—21no—
43#17989325—21no—
44#17989301C2211yescharacteristic
45#17989284C2211yescharacteristic
46#17989272C2211yescharacteristic
47#17989263—21no—
48#17989255C2211yescharacteristic
49D4×Dic146—21no—
50D4×Dic146—21no—
51#17989250C2211yescharacteristic
52#17989250C2211yescharacteristic, complemented
53#17989250C2211yescharacteristic, complemented
54#17989250C2211yescharacteristic, complemented
55#17989246—21no—
56#17989246—21no—
57#17989243C2211yescharacteristic
58#17989243C2211yescharacteristic, complemented
59#17989243C2211yescharacteristic, complemented
60#17989243C2211yescharacteristic, complemented
61#17989238C2211yescharacteristic
62#17989234C2211yescharacteristic
63#17989231C2211yescharacteristic
64#17989227—21no—
65D4×C22⋊D73C2211yescharacteristic
66#17989204C2211yescharacteristic
67#17989190C2211yescharacteristic
68#17989187—21no—
69#17989169—21no—
70#17989166C2211yescharacteristic
71#17989163C2211yescharacteristic, complemented
72#17989159—21no—
73#17989159—21no—
74#17989158C2211yescharacteristic, complemented
75#17989154—21no—
76#17989153C2211yescharacteristic
77#17989146—21no—
78#17989098C2211yescharacteristic
79#17989098C2211yescharacteristic
80#17989093—21no—
81#17989093—21no—
82#17989064C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic, complemented
84#17988975C2211yescharacteristic, complemented
85#17988970C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988954C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988930C2211yescharacteristic, complemented
93#17988928C2211yescharacteristic, complemented
94#17988925C2211yescharacteristic, complemented
95#17988924C2211yescharacteristic, complemented
96#17988919C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic, complemented
98#17988908C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988893C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988846C2211yescharacteristic, complemented
104#17988834C2211yescharacteristic, complemented
105#17988832C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988829C2211yescharacteristic, complemented
108#17988826C2211yescharacteristic, complemented
109#17988821C2211yescharacteristic
110#17988818C2211yescharacteristic
111#17988817C2211yescharacteristic, complemented
112#17988815C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988808C2211yescharacteristic, complemented
116#17988808C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988801C2211yescharacteristic, complemented
119#17988800C2211yescharacteristic, complemented
120#17988800C2211yescharacteristic, complemented
121#17988796C2211yescharacteristic, complemented
122#17988791C2211yescharacteristic, complemented
123#17988790C2211yescharacteristic, complemented
124#17988790C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988750C2211yescharacteristic, complemented
128#17988750C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic, complemented
130#17988749C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic, complemented
132#17988745C2211yescharacteristic, complemented
133#17988745C2211yescharacteristic, complemented
134#17988745C2211yescharacteristic, complemented
135#17988745C2211yescharacteristic, complemented
136#17988744C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic, complemented
138#17988739C2211yescharacteristic, complemented
139#17988733C2211yescharacteristic, complemented
140#17988732C2211yescharacteristic, complemented
141#17988730C2211yescharacteristic, complemented
142#17988729C2211yescharacteristic, complemented
143#17988729C2211yescharacteristic, complemented
144#17988728C2211yescharacteristic
145#17988728C2211yescharacteristic
146#17988728C2211yescharacteristic, complemented
147#17988728C2211yescharacteristic, complemented
148#17988727C2211yescharacteristic, complemented
149#17988725C2211yescharacteristic
150#17988725C2211yescharacteristic
151#17988725C2211yescharacteristic
152#17988725C2211yescharacteristic
153#17988725C2211yescharacteristic, complemented
154#17988725C2211yescharacteristic, complemented
155#17988725C2211yescharacteristic, complemented
156#17988725C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988724C2211yescharacteristic, complemented
159#17988693C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988684C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988681C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic, complemented
169#17988656C2211yescharacteristic, complemented
170#17988656C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic
172#17988655C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic
174#17988650C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988597C2211yescharacteristic, complemented
178#17988597C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182C2×#14556514C2211yescharacteristic, complemented
183C2×#14556514C2211yescharacteristic, complemented
184#103×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187C2×C22⋊#10596831C2211yescharacteristic, complemented
188#525×C73C2211yescharacteristic, complemented
189C2×#121×C73C2211yescharacteristic
190#483×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic
192#482×C73C2211yescharacteristic, complemented
193#480×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic
195#469×C73C2211yescharacteristic, complemented
196#468×C73C2211yescharacteristic
197#468×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic
199#449×C73C2211yescharacteristic
200#449×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic
202#407×C73C2211yescharacteristic, complemented
203#14556638—42no—
204#14556638—42no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027C2311yescharacteristic
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C22×Dic146—21no—
215C22×Dic146—21no—
216C22×Dic146—21no—
217C22×Dic146—21no—
218C22×Dic146—42no—
219C22×Dic146—42no—
220C22×Dic146C2311yescharacteristic
221C22×Dic146C2311yescharacteristic
222C22×Dic146C2311yescharacteristic
223C22×Dic146C2311yescharacteristic
224C22×Dic146C2311yescharacteristic
225C22×Dic146C2311yescharacteristic
226C2×Q8×D73C2311yescharacteristic
227C2×Q8×D73C2311yescharacteristic
228C22×C22⋊D73—21no—
229C2×D4×D73C2311yescharacteristic
230C23×Dic73—21no—
231#14556624—42no—
232#14556624—42no—
233#14556620—42no—
234#14556615—42no—
235#14556610—42no—
236C2×Dic292C2311yescharacteristic
237C2×Dic292C2311yescharacteristic
238C2×Dic292C2311yescharacteristic
239C2×Dic292C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924017C2311yescharacteristic
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924016—42no—
246C2×#11924016—42no—
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924016C2311yescharacteristic
252C2×#11924016C2311yescharacteristic
253C2×#11924016C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924016C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257SD16×D73—42no—
258C2×#11924013C2311yescharacteristic
259C2×#11924011C2311yescharacteristic
260C2×#11924011C2311yescharacteristic
261C22×#10596831C2311yescharacteristic
262C22×#10596831C2311yescharacteristic
263C2×C8×D73C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265#14556591—21no—
266#14556590—21no—
267#14556590—21no—
268#14556590—21no—
269#14556590—21no—
270#14556590C2311yescharacteristic
271#14556589C2311yescharacteristic
272#14556589C2311yescharacteristic
273#14556587—21no—
274#14556587—21no—
275#14556587C2311yescharacteristic
276#14556586—21no—
277#14556584—21no—
278#14556584—21no—
279#14556582C2311yescharacteristic
280#14556581—21no—
281#14556579—21no—
282#14556578—21no—
283#14556578—21no—
284#14556578C2311yescharacteristic
285#14556578C2311yescharacteristic
286#14556578C2311yescharacteristic
287#14556577—21no—
288#14556577—21no—
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556577—21no—
293#14556576—21no—
294#14556575—21no—
295#14556575—21no—
296#14556575—21no—
297#14556574—21no—
298#14556574—21no—
299#14556574—21no—
300#14556574D411yescharacteristic
301#14556574D411yescharacteristic
302#14556573—21no—
303#14556573—21no—
304#14556572—21no—
305#14556572—21no—
306#14556572—21no—
307#14556572—21no—
308#14556572—21no—
309#14556571C2311yescharacteristic
310#14556571C2311yescharacteristic
311#14556571C2311yescharacteristic
312#14556571C2311yescharacteristic
313#14556571C2311yescharacteristic
314#14556570—21no—
315#14556570—21no—
316#14556570D411yescharacteristic
317#14556570D411yescharacteristic
318#14556570C2311yescharacteristic
319#14556570C2311yescharacteristic
320#14556569—21no—
321#14556569—21no—
322#14556569—21no—
323#14556569—21no—
324#14556569—21no—
325#14556568—21no—
326#14556568—21no—
327#14556568—21no—
328#14556568—21no—
329#14556568—21no—
330#14556568—21no—
331#14556568—21no—
332#14556568—21no—
333#14556568—21no—
334#14556568—21no—
335#14556566C2311yescharacteristic
336#14556565D411yescharacteristic
337#14556565D411yescharacteristic
338#14556565C2311yescharacteristic
339#14556565C2311yescharacteristic
340#14556564—21no—
341#14556564—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556563—21no—
351#14556563—21no—
352#14556562—21no—
353#14556562—21no—
354#14556562—21no—
355#14556562—21no—
356#14556562C2311yescharacteristic
357#14556562C2311yescharacteristic
358#14556561—21no—
359#14556560—21no—
360#14556560—21no—
361#14556560—21no—
362#14556560D411yescharacteristic
363#14556560D411yescharacteristic
364#14556559—21no—
365#14556559—21no—
366#14556559—21no—
367C4×Dic146—21no—
368C4×Dic146—21no—
369#14556556C2311yescharacteristic
370#14556556C2311yescharacteristic
371#14556556C2311yescharacteristic
372#14556556C2311yescharacteristic
373#14556556C2311yescharacteristic
374D4×Dic73—21no—
375D4×Dic73—21no—
376D4×Dic73—21no—
377D4×Dic73—21no—
378D4×Dic73C2311yescharacteristic
379D4×Dic73C2311yescharacteristic
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#14556551—21no—
390#14556551—21no—
391#14556551—21no—
392#14556551—21no—
393#14556550—21no—
394#14556550C2311yescharacteristic
395#14556550C2311yescharacteristic
396#14556549C2311yescharacteristic
397#14556547—21no—
398#14556547—21no—
399#14556547—21no—
400C4⋊C4×D73C2311yescharacteristic
401C2×C22⋊Dic73—21no—
402C22⋊C4×D73—21no—
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556516C2311yescharacteristic
418#14556516C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556514C2311yescharacteristic
428#14556514C2311yescharacteristic
429#14556514C2311yescharacteristic
430#14556514C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73—21no—
449C22×D4×C73C2311yescharacteristic
450C23×C4×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×M16×C73C2311yescharacteristic
456C2×M16×C73C2311yescharacteristic
457#123×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460#121×C73—21no—
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468#120×C73—21no—
469C4×D4×C73—21no—
470C4×D4×C73—21no—
471#117×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473C2×C22⋊C4×C73—21no—
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—
491#11924028—44no—
492#11924028—41no—
493#11924028—41no—
494#11924028—41no—
495#11924028—41no—
496#11924028—82no—
497#11924027—22no—
498#11924027—22no—
499#11924027—41no—
500#11924027—41no—
501#11924027—41no—
502#11924027—41no—
503#11924027—44no—
504#11924027—44no—
505C2×Dic146—21no—
506C2×Dic146—22no—
507C2×Dic146—22no—
508C2×Dic146—22no—
509C2×Dic146—22no—
510C2×Dic146—22no—
511C2×Dic146—22no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—21no—
520C2×Dic146—41no—
521C2×Dic146—41no—
522C2×Dic146—41no—
523C2×Dic146—41no—
524C2×Dic146—41no—
525C2×Dic146—41no—
526C2×Dic146—44no—
527C2×Dic146—44no—
528C2×Dic146—44no—
529C2×Dic146—44no—
530C2×Dic146C2×D411yescharacteristic
531C2×Dic146C2411yescharacteristic
532C2×Dic146C2411yescharacteristic
533C2×Dic146C2411yescharacteristic
534C2×Dic146C2411yescharacteristic
535C2×Dic146C2411yescharacteristic
536Q8×D73—22no—
537Q8×D73—22no—
538Q8×D73—41no—
539Q8×D73—41no—
540C2×D292—21no—
541C2×D292C2×D411yescharacteristic
542C2×D292C2411yescharacteristic
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—82no—
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560C2×C22⋊D73C2×D411yescharacteristic
561D4×D73—41no—
562D4×D73—41no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C22×Dic73—21no—
573C22×Dic73—21no—
574C22×Dic73—44no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73C2411yescharacteristic
581C2×C4×D73C2411yescharacteristic
582Dic292—22no—
583Dic292—22no—
584Dic292—41no—
585Dic292—41no—
586#11924018—41no—
587#11924017—22no—
588#11924017—22no—
589#11924017—41no—
590#11924017—41no—
591#11924016—22no—
592#11924016—22no—
593#11924016—22no—
594#11924016—22no—
595#11924016—41no—
596#11924016—41no—
597#11924016—41no—
598#11924016—41no—
599#11924016—41no—
600#11924015—41no—
601#11924013—41no—
602#11924011—41no—
603#11924011—41no—
604C2×#10596831—41no—
605C2×#10596831—41no—
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C2×#10596831C2411yescharacteristic
609C2×#10596831C2411yescharacteristic
610C8×D73—41no—
611C8×D73—41no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73—21no—
615C4⋊Dic73—21no—
616C4⋊Dic73—21no—
617C4⋊Dic73—21no—
618C4⋊Dic73C2×D411yescharacteristic
619C4⋊Dic73C2×D411yescharacteristic
620C4⋊Dic73C2411yescharacteristic
621C4⋊Dic73C2411yescharacteristic
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007C2×D411yescharacteristic
637#11924007C2×D411yescharacteristic
638#11924007C2×D411yescharacteristic
639#11924007C2×D411yescharacteristic
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73C2×D411yescharacteristic
654C22⋊Dic73C2×D411yescharacteristic
655C22⋊Dic73C2×D411yescharacteristic
656C22⋊Dic73C2×D411yescharacteristic
657C22⋊Dic73C2×D411yescharacteristic
658C22⋊Dic73C2×D411yescharacteristic
659#11924005—21no—
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#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73C2411yescharacteristic
681C4×Dic73C2411yescharacteristic
682C24×C73—21no—
683C24×C73C2×D411yescharacteristic
684#41×C73—41no—
685#41×C73—41no—
686C2×Q8×C73C2411yescharacteristic
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—41no—
696C2×D4×C73—41no—
697C2×D4×C73—82no—
698C2×D4×C73C2411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—41no—
704C22×C4×C73—41no—
705C22×C4×C73C2×D411yescharacteristic
706C22×C4×C73C2×D411yescharacteristic
707C22×C4×C73C2×D411yescharacteristic
708C22×C4×C73C2411yescharacteristic
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711SD16×C73—41no—
712SD16×C73—41no—
713D8×C73—41no—
714D8×C73—41no—
715M16×C73—41no—
716M16×C73—41no—
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C42×C73—21no—
738C23×C73—22no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—21no—
742C23×C73—41no—
743C23×C73—41no—
744C23×C73—42no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C23×C73C22×D411yescharacteristic
750C22×D73—21no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758D4×C73—21no—
759D4×C73—21no—
760D4×C73—21no—
761D4×C73—21no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—42no—
765D4×C73—42no—
766D4×C73—42no—
767D4×C73—81no—
768D4×C73—81no—
769D4×C73—81no—
770D4×C73—81no—
771D4×C73—81no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—41no—
784C2×C4×C73—41no—
785C2×C4×C73—41no—
786C2×C4×C73—42no—
787C2×C4×C73—42no—
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C2511yescharacteristic
792C22⋊D73—22no—
793C22⋊D73—22no—
794C22⋊D73—41no—
795C22⋊D73—41no—
796C22⋊D73—41no—
797C22⋊D73—41no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C2×Dic73—24no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—42no—
818C2×Dic73—42no—
819C2×Dic73—42no—
820C2×Dic73—42no—
821C2×Dic73—42no—
822C2×Dic73—42no—
823C2×Dic73—42no—
824C2×Dic73—81no—
825C2×Dic73—81no—
826C2×Dic73—81no—
827C2×Dic73C22×D411yescharacteristic
828C2×Dic73C22×D411yescharacteristic
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833D292—21no—
834D292—21no—
835D292—41no—
836D292—81no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—42no—
842C4×D73—42no—
843C4×D73—81no—
844C4×D73—81no—
845C4×D73—81no—
846Dic146—24no—
847Dic146—21no—
848Dic146—21no—
849Dic146—21no—
850Dic146—21no—
851Dic146—21no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—41no—
856Dic146—42no—
857Dic146—42no—
858Dic146—42no—
859Dic146—42no—
860Dic146—42no—
861Dic146—42no—
862Dic146—42no—
863Dic146—81no—
864Dic146H(5,𝔽2)12yes—
865Dic146H(5,𝔽2)12yes—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—44no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—162no—
893C22×C73#57712yes—
894C22×C73C23×D411yescharacteristic
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—162no—
905C4×C73—21no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—41no—
909C4×C73—41no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73C2×H(5,𝔽2)11yescharacteristic
914C4×C73C2×H(5,𝔽2)11yescharacteristic
915Dic73—21no—
916Dic73—21no—
917Dic73—22no—
918Dic73—22no—
919Dic73—21no—
920Dic73—21no—
921Dic73—21no—
922Dic73—21no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61611—731nomaximal, Sylow
929C2×C73—22no—
930C2×C73—41no—
931C2×C73—41no—
932C2×C73—81no—
933C2×C73—81no—
934C2×C73—81no—
935C2×C73#348411yescharacteristic
936C2×C73C2×#57711yescharacteristic
937C2×C73#358611yescharacteristic
938D73—41no—
939D73—41no—
940D73—81no—
941#3542—731no—
942#3486—731no—
943#3329—731no—
944#3326—731no—
945#3321—731no—
946#3320—731no—
947#3312—731no—
948#3308—731no—
949#3300—731no—
950#3298—731no—
951#3282—731no—
952D4×SD16—731no—
953#3278—731no—
954#3275—731no—
955#3271—731no—
956#3266—731no—
957#3266—731no—
958#3265—731no—
959#3225—731no—
960#3221—731no—
961#3201—731no—
962#3200—731no—
963#3194D7311yescharacteristic, complemented
964#3191—731no—
965#3126—731no—
966#3121—731no—
967#3013—731no—
968#3010—731no—
969#3004—731no—
970C2×#448—731no—
971#2976—731no—
972C73#6161111yescharacteristic, complemented, Sylow
973C2×2−1+4—731no—
974C23×Q8—731no—
975C2×#137—731no—
976C2×#137—731no—
977C2×#137—731no—
978C2×AGL(1,ℤ/8)—731no—
979C2×#135—731no—
980C22×SD16—731no—
981C22×SD16—731no—
982C22×SD16—731no—
983#562—1461no—
984#560—1461no—
985#555—731no—
986#553—731no—
987#552—731no—
988#551—1461no—
989#550—731no—
990D4×Q8—731no—
991D4×Q8—731no—
992D4×Q8—731no—
993D4×Q8—731no—
994D4×Q8—1461no—
995D4×Q8—1461no—
996#548—731no—
997#548—731no—
998#548—731no—
999#548—731no—
1000#548—1461no—
1001#548—1461no—
1002#547—731no—
1003#546—731no—
1004#546—731no—
1005#546—1461no—
1006D42—731no—
1007#542—731no—
1008#540—731no—
1009#540—1461no—
1010#538—1461no—
1011#537—731no—
1012#536—731no—
1013#536—731no—
1014#536—1461no—
1015#536—1461no—
1016#535—731no—
1017#535—1461no—
1018#534—1461no—
1019#525—731no—
1020#525—731no—
1021#525—1461no—
1022#525—1461no—
1023#525C2×D7311yescharacteristic, complemented
1024C2×#121C2×D7311yescharacteristic
1025#519—731no—
1026#497—731no—
1027#496—731no—
1028#495—731no—
1029#492—731no—
1030#491—731no—
1031#489—731no—
1032#488—731no—
1033#487—731no—
1034#485—731no—
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#484—731no—
1039#483—731no—
1040#483C2×D7311yescharacteristic, complemented
1041#482—731no—
1042#482—731no—
1043#482C2×D7311yescharacteristic
1044#482C2×D7311yescharacteristic, complemented
1045#480C2×D7311yescharacteristic, complemented
1046#479—731no—
1047#479—731no—
1048#477—731no—
1049#475—731no—
1050#470—731no—
1051#469C2×D7311yescharacteristic
1052#469C2×D7311yescharacteristic, complemented
1053#468—731no—
1054#468—731no—
1055#468—731no—
1056#468C2×D7311yescharacteristic
1057#468C2×D7311yescharacteristic, complemented
1058#467—731no—
1059#467—731no—
1060#466—731no—
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465—731no—
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#463—731no—
1070#463—731no—
1071#463—731no—
1072#462—731no—
1073#461—731no—
1074#461—731no—
1075#461—731no—
1076#460—731no—
1077#460—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#451—731no—
1084#451—731no—
1085#451—731no—
1086#451—731no—
1087#451—731no—
1088#450—731no—
1089#450—731no—
1090#450C2×D7311yescharacteristic
1091#449—731no—
1092#449—731no—
1093#449—731no—
1094#449—731no—
1095#449—731no—
1096#449C2×D7311yescharacteristic
1097#449C2×D7311yescharacteristic, complemented
1098#448—731no—
1099#448—731no—
1100#448—731no—
1101#448—731no—
1102#448—731no—
1103#448—731no—
1104#448—731no—
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#448—731no—
1112#448—731no—
1113#447C2×D7311yescharacteristic
1114#441—731no—
1115#440—731no—
1116#440—731no—
1117#440—731no—
1118C4×Q16—731no—
1119C4×SD16—731no—
1120C4×SD16—731no—
1121C4×SD16—731no—
1122#436—731no—
1123#436—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435—731no—
1128C8×D4—731no—
1129C8×D4—731no—
1130#433—731no—
1131#433—731no—
1132#419—731no—
1133#419—731no—
1134#419—731no—
1135#417—731no—
1136#416—731no—
1137C2×#103—731no—
1138C2×#103—731no—
1139C2×#103—731no—
1140#408—731no—
1141#408—731no—
1142#407C2×D7311yescharacteristic, complemented
1143C2×C22⋊C8—731no—
11442−1+4—2922no—
11452−1+4—2922no—
1146C2×#41—731no—
1147C2×#41—731no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—1461no—
1152C2×#41—1461no—
1153C2×#41—1461no—
1154C2×#41—1461no—
1155C2×#41C22×D7311yescharacteristic
1156C22×Q8—2922no—
1157C22×Q8—2922no—
1158C22×Q8—731no—
1159C22×Q8—731no—
1160C22×Q8—731no—
1161C22×Q8—731no—
1162C22×Q8—731no—
1163C22×Q8—731no—
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—1461no—
1167C22×Q8—1461no—
1168C22×Q8—1461no—
1169C22×Q8—1461no—
1170C22×D4—21no—
1171C22×D4—731no—
1172C22×D4—1461no—
1173C22×D4C22×D7311yescharacteristic
1174C23×C4—1461no—
1175C23×C4C22×D7311yescharacteristic
1176#137—2922no—
1177#137—2922no—
1178#137—2922no—
1179AGL(1,ℤ/8)—2922no—
1180#135—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×SD16—2922no—
1187C2×SD16—2922no—
1188C2×SD16—2922no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16C22×D7311yescharacteristic
1204C2×SD16C22×D7311yescharacteristic
1205C2×D8—731no—
1206C2×D8C22×D7311yescharacteristic
1207C2×D8C22×D7311yescharacteristic
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16C22×D7311yescharacteristic
1211C2×M16C22×D7311yescharacteristic
1212C22×C8—731no—
1213C22×C8—731no—
1214C22×C8—731no—
1215C22×C8—731no—
1216C4⋊Q8—731no—
1217C4⋊Q8—731no—
1218C4⋊Q8—731no—
1219C4⋊Q8—1461no—
1220C4⋊Q8—1461no—
1221C4⋊Q8—1461no—
1222C4⋊Q8—1461no—
1223C4⋊Q8—1461no—
1224#127—731no—
1225#127—1461no—
1226#127—1461no—
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#125—731no—
1231#125—1461no—
1232#124—731no—
1233#124—731no—
1234#124—731no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#123—21no—
1245#123—731no—
1246#123—731no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261C22⋊Q8—731no—
1262C22⋊Q8—731no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8C22×D7311yescharacteristic
1288C22⋊Q8C22×D7311yescharacteristic
1289#121—21no—
1290#121—21no—
1291#121—731no—
1292#121—731no—
1293#121—731no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—1461no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121C22×D7311yescharacteristic
1315#121C22×D7311yescharacteristic
1316#121C22×D7311yescharacteristic
1317#121C22×D7311yescharacteristic
1318#121C22×D7311yescharacteristic
1319#121C22×D7311yescharacteristic
1320#120—21no—
1321#120—731no—
1322#120—731no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×Q8—731no—
1335C4×Q8—1461no—
1336C4×Q8—1461no—
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358#117—731no—
1359#117—731no—
1360#117—731no—
1361#117—1461no—
1362#117—1461no—
1363#117—1461no—
1364#117—1461no—
1365#117C22×D7311yescharacteristic
1366C2×C4⋊C4—731no—
1367C2×C4⋊C4C22×D7311yescharacteristic
1368C2×C22⋊C4—21no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371#107—731no—
1372#107—731no—
1373#107C22×D7311yescharacteristic
1374#107C22×D7311yescharacteristic
1375#106—731no—
1376#106—731no—
1377#106C22×D7311yescharacteristic
1378#106C22×D7311yescharacteristic
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102C22×D7311yescharacteristic
1410#102C22×D7311yescharacteristic
1411#102C22×D7311yescharacteristic
1412#102C22×D7311yescharacteristic
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8C22×D7311yescharacteristic
1424C22⋊C8C22×D7311yescharacteristic
1425C22⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427#97—731no—
1428#97—731no—
1429C4×C8—731no—
1430C4×C8—731no—
1431C24—21no—
1432C24—1461no—
1433C24D4×D7311yescharacteristic
1434#41—41no—
1435#41—41no—
1436#41—2921no—
1437#41—2921no—
1438#41—2921no—
1439#41—2921no—
1440#41—2924no—
1441#41—2921no—
1442#41—2921no—
1443#41—2924no—
1444#41—2924no—
1445#41—2921no—
1446#41—2921no—
1447#41—5842no—
1448#41—1462no—
1449#41—1462no—
1450C2×Q8—2921no—
1451C2×Q8—2921no—
1452C2×Q8—2921no—
1453C2×Q8—2921no—
1454C2×Q8—2921no—
1455C2×Q8—2921no—
1456C2×Q8—2924no—
1457C2×Q8—2924no—
1458C2×Q8—2924no—
1459C2×Q8—2924no—
1460C2×Q8—2921no—
1461C2×Q8—2921no—
1462C2×Q8—731no—
1463C2×Q8—731no—
1464C2×Q8—731no—
1465C2×Q8—731no—
1466C2×Q8—731no—
1467C2×Q8—731no—
1468C2×Q8—1462no—
1469C2×Q8—1462no—
1470C2×Q8—1462no—
1471C2×Q8—1462no—
1472C2×Q8—1461no—
1473C2×Q8—1461no—
1474C2×Q8—1461no—
1475C2×Q8—1462no—
1476C2×Q8—1462no—
1477C2×Q8—1462no—
1478C2×Q8—1462no—
1479C2×Q8—1461no—
1480C2×Q8—1461no—
1481C2×Q8—1461no—
1482C2×Q8—1461no—
1483C2×Q8—1461no—
1484C2×Q8—1461no—
1485C2×Q8C23×D7311yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—82no—
1497C2×D4—2921no—
1498C2×D4—2921no—
1499C2×D4—5842no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4C23×D7311yescharacteristic
1521C2×D4C23×D7311yescharacteristic
1522C2×D4C23×D7311yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—41no—
1526C22×C4—41no—
1527C22×C4—2924no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—1461no—
1531C22×C4—1461no—
1532C22×C4—1461no—
1533C22×C4—1461no—
1534C22×C4—1461no—
1535C22×C4—1461no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4D4×D7311yescharacteristic
1547C22×C4D4×D7311yescharacteristic
1548C22×C4D4×D7311yescharacteristic
1549C22×C4C23×D7311yescharacteristic
1550C22×C4C23×D7311yescharacteristic
1551C22×C4C23×D7311yescharacteristic
1552Q16—2921no—
1553Q16—2921no—
1554Q16—2921no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—41no—
1558SD16—41no—
1559SD16—2921no—
1560SD16—2921no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—1462no—
1568SD16—1462no—
1569SD16—1462no—
1570SD16—1462no—
1571SD16—1462no—
1572SD16—1462no—
1573D8—41no—
1574D8—41no—
1575D8—2921no—
1576M16—41no—
1577M16—41no—
1578M16—2921no—
1579M16—2921no—
1580C2×C8—2921no—
1581C2×C8—2921no—
1582C2×C8—2921no—
1583C2×C8—2921no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8—731no—
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C2×C8C23×D7311yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4C23×D7311yescharacteristic
1624C4⋊C4C23×D7311yescharacteristic
1625C4⋊C4C23×D7311yescharacteristic
1626C4⋊C4C23×D7311yescharacteristic
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—731no—
1637C22⋊C4—731no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C42—21no—
1670C42—731no—
1671C42—731no—
1672C42—1461no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42—1461no—
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—41no—
1684C23—41no—
1685C23—42no—
1686C23—81no—
1687C23—81no—
1688C23—5841no—
1689C23—5841no—
1690C23—5841no—
1691C23—731no—
1692C23—731no—
1693C23—1461no—
1694C23C2×D4×D7311yescharacteristic
1695C23C2×D4×D7311yescharacteristic
1696C23C2×D4×D7311yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—2922no—
1700Q8—2922no—
1701Q8—2922no—
1702Q8—2922no—
1703Q8—2922no—
1704Q8—2921no—
1705Q8—2922no—
1706Q8—2922no—
1707Q8—5841no—
1708Q8—732no—
1709Q8—732no—
1710Q8—1464no—
1711Q8—1461no—
1712Q8—1461no—
1713Q8—1461no—
1714Q8—1461no—
1715Q8—1461no—
1716Q8—1461no—
1717Q8—1461no—
1718Q8—1461no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—2921no—
1734D4—2922no—
1735D4—2921no—
1736D4—2921no—
1737D4—2921no—
1738D4—2921no—
1739D4—2922no—
1740D4—2922no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—1462no—
1751D4—1462no—
1752D4—1461no—
1753D4—1461no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—731no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—731no—
1790C2×C4—731no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1464no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4—1461no—
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C24×D7311yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C8—1461no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—44no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—162no—
1834C22—2921no—
1835C22—2921no—
1836C22—2921no—
1837C22—11682no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22#1798939712yes—
1845C22C22×D4×D7311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—2921no—
1855C4—2921no—
1856C4—2921no—
1857C4—2921no—
1858C4—2921no—
1859C4—1462no—
1860C4—1462no—
1861C4—1461no—
1862C4—1461no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4H(5,𝔽2)×D7311yescharacteristic
1868C4H(5,𝔽2)×D7311yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—41no—
1872C2—81no—
1873C2—81no—
1874C2—81no—
1875C2—2921no—
1876C2—2921no—
1877C2—5841no—
1878C2#2262356311yescharacteristic
1879C2C2×#1798939711yescharacteristic
1880C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3194C2
socleC22×C73C23×D4
hypercenter#3194D73
hypocenterC73#61611
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3194

Complements

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

NH ≅ G/Ntype
1. #22624251C2semidirect
2. #22623578C2semidirect
3. #22622220C2semidirect
4. #22622190C2semidirect
5. #22622112C2semidirect
6. #22622097C2semidirect
7. #22621980C2semidirect
8. #22621920C2semidirect
9. #22621816C2semidirect
10. #22621794C2semidirect
11. #22621642C2semidirect
12. #22621625C2semidirect
13. #22621594C2semidirect
14. #22621569C2semidirect
15. #22621523C2semidirect
16. #22621448C2semidirect
17. #22621445C2semidirect
18. #22621430C2semidirect
19. #22621036C2semidirect
20. #22620990C2semidirect
21. #22620811C2semidirect
22. #22620805C2semidirect
23. #22620719C2semidirect
24. #22620218C2semidirect
25. #22620155C2semidirect
26. #22619244C2semidirect
27. #22619214C2semidirect
28. #22619168C2semidirect
29. C2×#17988725C2semidirect
30. #22618981C2semidirect
31. C73×#3194C2semidirect
32. C2×#14556638C22semidirect
33. C23×Dic146C22semidirect
34. C2×#14556624C22semidirect
35. C2×#14556624C22semidirect
36. C2×#14556620C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556610C22semidirect
41. C2×SD16×D73C22semidirect
52. #17989250C22semidirect
53. #17989250C22semidirect
54. #17989250C22semidirect
58. #17989243C22semidirect
59. #17989243C22semidirect
60. #17989243C22semidirect
71. #17989163C22semidirect
74. #17989158C22semidirect
82. #17989064C22semidirect
83. #17988978C22semidirect
84. #17988975C22semidirect
85. #17988970C22semidirect
86. #17988958C22semidirect
87. #17988954C22semidirect
88. #17988945C22semidirect
89. #17988940C22semidirect
90. #17988936C22semidirect
91. #17988931C22semidirect
92. #17988930C22semidirect
93. #17988928C22semidirect
94. #17988925C22semidirect
95. #17988924C22semidirect
96. #17988919C22semidirect
97. #17988911C22semidirect
98. #17988908C22semidirect
99. #17988897C22semidirect
100. #17988893C22semidirect
101. #17988881C22semidirect
102. #17988871C22semidirect
103. #17988846C22semidirect
104. #17988834C22semidirect
105. #17988832C22semidirect
106. #17988832C22semidirect
107. #17988829C22semidirect
108. #17988826C22semidirect
111. #17988817C22semidirect
112. #17988815C22semidirect
113. #17988815C22semidirect
114. #17988814C22semidirect
115. #17988808C22semidirect
116. #17988808C22semidirect
117. #17988808C22semidirect
118. #17988801C22semidirect
119. #17988800C22semidirect
120. #17988800C22semidirect
121. #17988796C22semidirect
122. #17988791C22semidirect
123. #17988790C22semidirect
124. #17988790C22semidirect
125. #17988786C22semidirect
126. #17988786C22semidirect
127. #17988750C22semidirect
128. #17988750C22semidirect
129. #17988750C22semidirect
130. #17988749C22semidirect
131. #17988747C22semidirect
132. #17988745C22semidirect
133. #17988745C22semidirect
134. #17988745C22semidirect
135. #17988745C22semidirect
136. #17988744C22semidirect
137. #17988739C22semidirect
138. #17988739C22semidirect
139. #17988733C22semidirect
140. #17988732C22semidirect
141. #17988730C22semidirect
142. #17988729C22semidirect
143. #17988729C22semidirect
146. #17988728C22semidirect
147. #17988728C22semidirect
148. #17988727C22semidirect
153. #17988725C22semidirect
154. #17988725C22semidirect
155. #17988725C22semidirect
156. #17988725C22semidirect
157. #17988724C22semidirect
158. #17988724C22semidirect
159. #17988693C22semidirect
160. #17988686C22semidirect
161. #17988684C22semidirect
162. #17988684C22semidirect
163. #17988681C22semidirect
164. #17988678C22semidirect
165. #17988678C22semidirect
166. #17988674C22semidirect
167. #17988663C22semidirect
168. #17988663C22semidirect
169. #17988656C22semidirect
170. #17988656C22semidirect
172. #17988655C22semidirect
174. #17988650C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988597C22semidirect
178. #17988597C22semidirect
179. #17988594C22semidirect
180. #17988585C22semidirect
181. #17988580C22semidirect
182. C2×#14556514C22semidirect
183. C2×#14556514C22semidirect
184. #103×D73C22semidirect
185. #17988552C22semidirect
186. #17988552C22semidirect
187. C2×C22⋊#10596831C22semidirect
188. #525×C73C22semidirect
190. #483×C73C22semidirect
192. #482×C73C22semidirect
193. #480×C73C22semidirect
195. #469×C73C22semidirect
197. #468×C73C22semidirect
200. #449×C73C22semidirect
202. #407×C73C22semidirect
963. #3194D73semidirect
972. C73#61611semidirect
1023. #525C2×D73semidirect
1040. #483C2×D73semidirect
1044. #482C2×D73semidirect
1045. #480C2×D73semidirect
1052. #469C2×D73semidirect
1057. #468C2×D73semidirect
1097. #449C2×D73semidirect
1142. #407C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242512
#226235782
#226222202
#226221902
#226221122
#226220972
#226219802
#226219202
#226218162
#226217942
#226216422
#226216252
#226215942
#226215692
#226215232
#226214482
#226214452
#226214302
#226210362
#226209902
#226208112
#226208052
#226207192
#226202182
#226201552
#226192442
#226192142
#226191682
C2×#179887252
#226189812
C73×#31942
#6161173